Answer:
164 inches
Step-by-step explanation:
First, add 3 and 4
3+4= 7
Then divide 287 by 7
287/7= 41
Then, multiply 4 (from the ratio) by 41
4*41= 164
To get the length of the shorter piece, subtract 164 from 287
287-164= 123
Check your work:
123+164= 287
Hope this helps!
Almost done!!! Appreciate the help
Using the formula for the distance between two points to find the side lengths, the perimeter of the polygon is of 25 units.
What is the perimeter of a figure?The perimeter of a figure is given by the sum of the side lengths of it's outside dimensions.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For this problem, the distances are given as follows:
[tex]D_1 = \sqrt{(-1 -(-1))^2 + (6 - 3)^2} = 3[/tex].[tex]D_2 = \sqrt{(2 -(-1))^2 + (10 - 6)^2} = 5[/tex].[tex]D_3 = \sqrt{(5 - 2)^2 + (6 - 10)^2} = 5[/tex].[tex]D_4 = \sqrt{(5 - 5)^2 + (3 - 6)^2} = 6[/tex].[tex]D_5 = \sqrt{(5 - (-1))^2 + (3 - 3)^2} = 6[/tex].Hence the perimeter is given by:
P = 3 + 2 x 5 + 2 x 6 = 25 units.
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Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.
Answer:
444
Step-by-step explanation:
There are 9 surfaces to this shape. You find the area of each shape:
Bottom rectangle (16)(5) =80
Front rectangle (16)(4) = 64
Back rectangle (16)(4) = 64
Right side rectangle (5)(4) = 20
Left side rectangle (5)(4) = 20
Top right rectangle (10)(5) = 50
Top left rectangle (10)(5) = 50
Front top triangle (1/2)(16)(6) = 48
Back top triangle (1/2)(16)(6) = 48
Which of the following is not considered an action that would interfere with the airflow patterns at the front opening of the biosafety cabinet
An action that would not interfere with the airflow patterns at the front opening of the biosafety cabinet is a researcher discarding waste within the biosafety cabinet to prevent the movement of their arms in and out of the front opening.
What is biosafety?It should be noted that biosafety simply means the use of safety equipment as specifically designs tools to ensure that people are protected from hazards.
In this case, when a researcher discards waste within the biosafety cabinet to prevent the movement of their arms in and out of the front opening, it won't interfere with the airflow pattern.
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4x – 9y = 7
–2x + 3y = 4
What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?
What number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?
What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?
It's 2 (to get - 4x & 4x + - 4x = 0)
What number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?
It's 3 (to get 9y & - 9y + + 9y =0)
Hope this helps!
Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to Yeony2202, tysm for the help!
Answer:
A) Equation of the line of best fit: y = -5x + 62
B) y = -3
Explanation:
Given points: {(5, 38), (6, 34), (7, 27), (8, 21), (9, 17), (10, 14)}
Plot these points on the graph and draw a straight line between them.
A)
The points (7, 27), (9, 17)
Find slope:
[tex]\sf slope: \dfrac{17-27}{9-7} = -5[/tex]
Equation:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]\sf y - 27= -5(x - 7)[/tex]
[tex]\sf y = -5x + 35 + 27[/tex]
[tex]\sf y = -5x + 62[/tex]
B) If x = 13, then approximate value of y is
insert x = 13 in equation
y = -5x + 62
y = -5(13) + 62
y = -3
The answers are :
A) y = -5x + 64
B) -1
Part (A) :
Finding the slope : Take the points (6, 34) and (10, 14)
m = Δy/Δx
m = 14 - 34 / 10 - 6
m = -20/4
* m = -5 *
Using point slope formula to find equation :
y - y₁ = m (x - x₁)
y - 34 = -5 (x - 6)
y - 34 = -5x + 30
y = -5x + 64
Part (B) :
Substitute x = 13 in the line of best fit equation
y = -5(13) + 64
y = -65 + 64
y = -1
Find the area of the convex polygon with vertices (0,5), (-1,2), (4,4), (-3,-4) and (2,0).
The area of the convex polygon is 43/2 square units
How to determine the area of the convex polygon?The vertices are given as:
(0,5), (-1,2), (4,4), (-3,-4) and (2,0)
The area is then calculated as:
[tex]A = \frac 12(\left[\begin{array}{cc}x_1&x_2\\y_1&y_2\end{array}\right] + \left[\begin{array}{cc}x_2&x_3\\y_2&y_3\end{array}\right] + ....+\left[\begin{array}{cc}x_n&x\\y_n&y\end{array}\right] )[/tex]
So, we have:
[tex]A = \frac12 * (|-1 * 5 - 2 * 0 + 0 * 4 - 5 * 4 + 4 * 0 - 4 * 2 + 2 * -4 - 0 * -3 -3 * 2 + 4 * 1|)[/tex]
Evaluate
[tex]A = \frac12 * (|-43|)[/tex]
Remove the absolute bracket
[tex]A = \frac12 * 43[/tex]
This gives
[tex]A = \frac{43}2[/tex]
Hence, the area of the convex polygon is 43/2 square units
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HELP pleeeeease, will give brainliest
Answer:The answer is A
Step-by-step explanation:
A study was performed with a random sample of 3000 people from one church. What population would be appropriate for generalizing conclusions from the study, assuming the data collection methods used did not introduce biases
The population would be set of all Christians of that particular church from where the random samples is collected.
According to the questions,
A study was performed with a random sample 3000 people from one church. In order to find appropriate population for generalizing conclusions
The population would be set of all Christians of that particular church from where the random samples is collected.
This is because random samples is collected only from the particular church, so its generalization can only be the possible to large population of that church. we can generalize to whole of that church because it is given that there was no bias is introduced.Hence, the population would be set of all Christians of that particular church from where the random samples is collected.
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the angle 01 is located in quadrant i, and sin(01) = 11/61. what is the value of cos(01)?
Using a trigonometric identity, the cosine of the angle is given as follows:
[tex]\cos{\theta} = \frac{60}{61}[/tex]
What is the trigonometric identity that relates the sine and the cosine of an angle?It is given by:
[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]
In this problem, the sine is:
[tex]\sin{\theta} = \frac{11}{61}[/tex]
Then:
[tex]\cos^2{\theta} = 1 - \sin^2{\theta}[/tex]
[tex]\cos^2{\theta} = 1 - \left(\frac{11}{61}\right)^2[/tex]
[tex]\cos^2{\theta} = \frac{3600}{3721}[/tex]
[tex]\cos{\theta} = \pm \sqrt{\frac{3600}{3721}}[/tex]
On quadrant I, the cosine is positive, hence:
[tex]\cos{\theta} = \frac{60}{61}[/tex]
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If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____
Please help me figure out the correct answer, god bless the one who does. :)
Part 1: Correct.
Part 2
[tex]\sqrt{(-52)^2 + 48^2} \approx 70.77[/tex]
Jenna’s method: mia’s method: 5(30 4) 5(30 4) (5)(30) (5)(4) 5(34) = 170 150 20 = 170 explain why both jenna and mia arrived at the same answer and the advantage of one method over the other.
The steps in Mia's method were smaller than in Jenna's, which was an advantage.
What is distributive property and direct calculation?The same result will be obtained by adding the products of multiplying the sum of two or more addends by a number as opposed to multiplying each addend separately by the number.
The direct algorithm process suggested in this paper is known as the direct calculation method (DCM), and it can deal with using confinement loss as an incremental step to simulate the effect of moving tunnel face excavation, calculating the stresses and displacements in each step, and drawing the results.
Jenna's technique:
[tex]\begin{aligned}&5(30+4) \\&=(5)(30)+(5)(4) \\&=150+20 \\&=170\end{aligned}[/tex]
Mia's technique:
[tex]\begin{aligned}&5(30+4) \\&=(5)(34) \\&=170\end{aligned}[/tex]
Find: What was the benefit of using one method over the other and why did Jenna and Mia arrive at the same conclusion?Future:Both used the right approach, albeit in different ways.
One uses the distributive property, whereas the other uses direct calculation.
Consequently, Jenna and Mia came to the same conclusion.
However, Mia's approach has one advantage over Jenna's: it requires fewer steps.
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Triangle ARE congruent triangle ___ by ____
Answer: yes by SSS
hit the like button if it is correct :D
The length of a rectangle is 8 inches more than the width. the perimeter is 44 inches. find the length and width of the rectangle
Answer: Width is 7 inches, length is 15 inches.
Step-by-step explanation:
Let the width be w. Then, the length is w+8.
[tex]2(w+w+8)=44\\\\w+w+8=22\\\\2w+8=22\\\\2w=14\\\\w=7\\\\\implies l=15[/tex]
MAKING BRAINLIEST!!
Find the measure of the angle indicated.
Answer:
127°
Step-by-step explanation:
180°-53°=127°
Angle on a straight line is equal to 180°
Pedro owns a shrimp truck near the beach. he sells garlic shrimp for $8 a plate and spicy shrimp for $6 a plate. each day pedro stocks enough shrimp to sell at most 120 plates total, but he would like to earn at least $800. which combination of garlic shrimp plates and spicy shrimp plates can pedro sell to meet his goal?
Pedro can sell enough by combining the sales of 40 plates of garlic shrimp and 80 dishes of spicy shrimp to reach his objective.
As a resultNear the shore, Pedro runs a shrimp delivery business.
He offers spicy shrimp for $6 a plate and garlic shrimp for $8 per plate.
Pedro wants to make at least $800 per day but only stocks enough shrimp to sell a maximum of 120 plates.
We need to ascertain,
Which dish combining hot shrimp and garlicky shrimp can Pedro sell to reach his objective?
In response to the query,
Let's sell the x dishes of garlic shrimp.
And plates of hot shrimp were sold.
Pedro has 120 dishes' worth of shrimp in stock each day.
Then,
Shrimp sold daily total is equal to the sum of plates of garlic shrimp and spicy shrimp.
X + Y = 120
Furthermore, He offers $6spicy and $8garlic shrimp, per plate.
To make at least $800 is what he wants to do.
Then,
the sum of the price of the spicy shrimp per plate and the price of the garlic shrimp per plate,
8X + 6Y = 800
When the two equations are solved,
X + Y = 120
8X + 6Y = 800
From equation 1,
Y = 120 - X
In equation 2, replace x with its value.
8X + 6Y = 800
8(120 - Y) + 6Y = 800
960 - 8Y + 6Y = 800
- 2Y = - 160
Y = 160/2
Y = 80
In equation 1, replace y with its value.
X + Y = 120
X + 80 = 120
X = 120 - 80
X = 40
In order to achieve his objective, Pedro sold a combination of 40 plates of garlic shrimp and 80 dishes of spicy shrimp.
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Answer:
Step-by-step explanation:
Make equations
8x+6y≥800
x+y≤120
Graph the system of equations and see which answer falls in the shaded area
Answer: 90 Garlic, 25 Spicy
Ava bought 7.73 pounds of fruit for a class party. the class ate 3.59 pounds of the fruit. how much fruit is left?
Ava bought [tex]7.73[/tex] pounds of fruit for a class party , class ate [tex]3.59[/tex] pounds fruits then [tex]4.14[/tex] pounds fruit left after party.
How can we find how much fruit is left after party ?
Ava bought [tex]=7.73[/tex] pounds fruit
ate by class [tex]=3.59[/tex] pounds fruit
fruit left after party [tex]= total fruit -fruit ate by class[/tex]
[tex]= 7.73-3.59\\=4.14[/tex]
So [tex]4.14[/tex] pound fruit is left .
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Find the missing length indicated.
Answer:
48
Step-by-step explanation:
So I attached an image explaining how I solved the problem, but essentially you use the Pythagorean Theorem to define the two other sides, which I named "a" and "b", and then defined them in terms of x, using the Pythagorean Theorem. I finally defined the hypotenuse of the entire triangle which is 36+64 in terms of these two equations. Once that entire thing was set up it was a matter of solving for x, to get 48
please please answer and show work
Answer:
[tex]y=-\frac{3}{2}x + 6[/tex]
Step-by-step explanation:
For perpendicular lines, we use the same y-intercept. Though, to find the slope of perpendicular lines, we use opposite reciprocals. The opposite reciprocal of [tex]\frac{2}{3}[/tex] is [tex]-\frac{3}{2}[/tex].
Find the greatest common factor of the
following monomials:
33c 27c^4
The greatest Common factor of monomials [tex]33c[/tex] and [tex]27c^4[/tex] is [tex]3c[/tex]
How we can find the GCF of monomials ?
Monomials are [tex]33c[/tex] and [tex]27c^4[/tex]
We can write the monomials in fraction form
[tex]33c=11*3*c[/tex]
[tex]27c^4=3*9*c*c*c*c[/tex]
----------------------------------
So we can see the common factor is [tex]3c[/tex]
The Greatest Common Factor of [tex]33c ,27c^4[/tex] is [tex]3c[/tex]
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The ratio of dogs to cats is 3 to 8. if there are 294 dogs, how many cats are there?
Answer:
784 cats Yikes !
Step-by-step explanation:
d/c = 3/8
3/8 = 294/c
c = 294 * 8/3 = 784 cats
The length of side ab is units. the length of side bc is units. the length of side ac is units.
The length of side AC = 5 units
Solving missing sides of right trianglesMissing sides of a right triangle can be solved using the Pythagoras theorem
From the given question
Length of side AB = 3 units
Length of side BC = 4 units
The length of side AC is calculated below
[tex]AC^2=AB^2+BC^2\\\\AC^2=3^2+4^2\\\\AC^2=9+16\\\\AC^2=25\\\\AC=\sqrt{25}\\\\AC=5[/tex]
Therefore, the length of side AC = 5 units
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Complete Question
The length of side ab is 3 units. the length of side bc is 4 units. the length of side ac is .......... units.
Paul woke up for school at 7:30 AM. He took 14 minutes to get ready, 9 minutes to
finish his breakfast and 39 minutes to commute to school. At what time did he
reach the school?
Answer:
[tex]\huge\boxed{\sf 8:32\ AM}[/tex]
Step-by-step explanation:
Woke up = 7:30 AM
Time to:
Get ready = 14 minFinish breakfast = 9 minCommute to school = 39 minAltogether:
= 14 + 9 + 39 min
= 62 minutes(As we know that, 1 hour = 60 minutes)
So,
62 minutes = 1 hour 2 minutesTime he reached the school:
7 hr 30 min + 1 hr 2 min
Combine like terms
7 hr + 1 hr + 30 min + 2 min
8 hr + 32 minOR
8:32 AM[tex]\rule[225]{225}{2}[/tex]
Paul woke up for school at 7:30 AM. He took 14 minutes to get ready, 9 minutes to finish his breakfast and 39 minutes to commute to school. At what time did he reach the school?
❍ Explanation -:In this question we are asked to calculate the time paul reach the school.
Altogether time paul took to get ready, to finish his breakfast and to commute to school.
(14 + 9 + 39) minutes
→ (23 + 39) minutes
→ 62 minutes
Now we will convert minutes into hour.
62 ÷ 60
→ 1 hr 2 min
Now we will calculate the time he reached his school.
7 hr + 30 + 1 hr 2 min
[tex]\begin{array}{cc}7 \sf{hrs} \: & \: 30 \sf{min} \\ \underline{1 \: \sf{hr}} & \underline{2 \sf{min} } \\ \pmb{8 \sf{hrs}}& \pmb{32 \sf{min}}\end{array}[/tex]
He will reach the school at 8:32 AM.
Quick algebra 1 questions for 50 points!
Only answer if you know the answer, quick shout-out to Yeony2202, tysm for the help!
The cost per person if number of students is 100 given the inverse variation is $46.75
Inverse variationCost per person = CNumber of students = nC = k / n
where,
k = constant of proportionality
If n = 55 and C = $85
C = k / n
85 = k / 55
85 × 55 = k
4,675 = k
Find C if n = 100
C = k / n
= 4,675 / 100
C = $46.75
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Answer:
C = $46.75
Step-by-step explanation:
85 × 55 = k
4,675 = k
4675/100=46.75
therefore the answer is 46.75
Select the equivalent expression. (Please Help and Explain.)
(4^3/5^-2)^5=?
Choose 1 answer:
A. 4^15/5^10
B. 4^15*5^10
C. 4^8/5^3
Answer:
B. 4^15*5^10
Step-by-step explanation:
First you can take the out-out-outside exponent and "pass it out" to both the numerator and the denominator. When you have a power raised to a power, you MULTIPLY the exponents. See image.
Next you can "fix" a negative exponent by pushing it across the fraction bar. As it passes across the fraction bar, the exponent changes sign. So the -10 exponent on the bottom, becomes a positive 10 exponent on top. See image.
To form an ellipse, what is the relationship between the base of the cone and the angle of the plane that intersects the cone?
The relationship between the base of the cone and the angle of the plane that intersects the cone is that the plane must be at a 45 degree angle to the base of the cone. Thus, Option D is correct.
According to the statement
we have given that the to form a ellipse we use the base and angle of the cone, And we have to tell the relationship between them.
So, For this purpose, We know that the
An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
And to make a ellipse the relationship between the base of triangle and the angle of the cone is that the
The plane must be at a 45 degree angle to the base of the cone.
By this way we make a ellipse with the help of the cone.
So, The relationship between the base of the cone and the angle of the plane that intersects the cone is that the plane must be at a 45 degree angle to the base of the cone. Thus, Option D is correct.
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Question:
To form an ellipse, what is the relationship between the base of the cone and the angle of the plane that intersects the cone?
A. The plane is parallel to the base of the cone..
B. The plane may be perpendicular to the base of the cone..
C. The plane is at an angle that is neither parallel nor perpendicular to the base of the cone.
D. The plane must be at a angle to the base of the cone.
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Answer:
The plane is at an angle that is neither parallel nor perpendicular to the base of the cone.
Step-by-step explanation:
The plane doesn't need to be at an exact angle of 45 degrees. The most important thing is that the angle isn't parallel or perpendicular to the base of the cone, but it has to be non-zero without intersecting the base itself. It also only intersects one of the cones when looking at a double-cone.
A manufacturer must test that his bolts are 4.00cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 81 randomly selected bolts off the assembly line, he calculates the sample mean to be 3.97cm. He knows that the population standard deviation is 0.14cm. Assuming a level of significance of 0.01, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines
The p-value(0.0538) is greater than the given significance level of 0.01. So, there is no sufficient evidence to show that the manufacturer needs to recalibrate the machines.
What is the test statistics formula for finding the p-value approach of hypothesis testing?The test statistics formula for finding the z-score is,
z = (X - μ)/(σ/√n)
Where,
X = sample mean
μ = population mean
σ = population standard deviation
n = sample size
With this z-score, the p-value is calculated. If p > α, then the null hypothesis is not rejected, and if p < α, then the null hypothesis is rejected.
Calculation:It is given that,
The population mean μ = 4.00
The sample size n = 81
The sample mean X = 3.97
The standard deviation σ = 0.14
and the significance level α = 0.01
So, the hypothesis is:
The null hypothesis: H0: μ = 4
The alternative hypothesis: Ha: μ ≠ 4
Thus, the test statistic value is,
z = (X - μ)/(σ/√n)
= (3.97 - 4)/(0.14/√81)
= - 0.03/0.015
= -1.928
So, for z = -1.928, the p-value is 0.053855
Since p > 0.01, there is no sufficient evidence to show that the manufacturer needs to recalibrate the machines.
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A group of 31 friends gets together to play a sport. First, people
must be divided into teams. Each team has to have exactly 3
players, and no one can be on more than one team. How many
teams can they make? (It is possible that not everyone can be on a
team.)
(Do not include units in your answer.)
The number of teams she can make is 10.
How many teams can she make?Division is the process of putting a number into equal groups using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations. Other basic mathematical operations include addition, subtraction, multiplication.
The number of teams that can be made can be determined by dividing the total number of friends by the total number of players in each team. The whole number that is derived from the division process is the number of teams teams that can be made given the total number of friends and the number of people that have to be in each group.
Number of teams she can make = total number of friends / number of people in each group
31 / 3 = 10 remainder 1
So, only 10 teams can be made. one person would not be on any team.
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In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a confidence interval with a margin of error of
The value of sample size n in this statement according to a confidence interval is 350.
According to the statement
we have a given that the value of error and population proportion and we have to find the value of sample size.
So, we know that the
confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Here
p represent the real population proportion of interest
ρ represent the estimated proportion for the sample
n is the sample size required (variable of interest)
z represent the critical value for the margin of error
So, The population proportion have the following distribution
P≈n ( p, ([p (1-p)]/n)^1/2)
Here In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by α = 1 - 0.95 = 0.05
and α/2 = 0.025 And the critical value would be given by:
z = 1.96
And on this case we have that ME = ±0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got the value
n = 0.35(1-0.35) / (0.05/1.96)^2
so, the value becomes
n = 350.
So, The value of sample size n in this statement is 350.
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Question:
In a survey, the planning value for the population proportion is p* = 0.35. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.05?
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Richard is able to read 40 pages in 100 minutes the reading speed of James is ____ pages per minute
Answer:
0.4 pages per minute
Step-by-step explanation:
40/100 = .4
What is the solution of the equation. find the value of y when x equals -10. 2x - 9y = -38
Answer:
y =2
Step-by-step explanation:
Substitute -10 for x:
2(-10)-9y = -38
-20-9y = -38
-9y = -18
9y = 18
y = 2