Answer:
The coordinates of the point are (-4.5,-1).
Step-by-step explanation:
We want to find point T(x,y).
I am going to say that out points are A(-8,-2) and B(6,2)
Since it partitions the segment in a 1:3 ratio, we have that:.
[tex]T - A = \frac{1}{1+3}(B-A)[/tex]
[tex]T - A = \frac{1}{4}(B-A)[/tex]
We apply this to both the x-coordinate and y-coordinate of T.
x-coordinate:
x-coordinate of A: -8
x-coordinate of B: 6
x-coordinate of T: x.
So
[tex]T - A = \frac{1}{4}(B-A)[/tex]
[tex]x - (-8) = \frac{1}{4}(6-(-8))[/tex]
[tex]x + 8 = \frac{14}{4}[/tex]
[tex]x = \frac{14}{4} - 8[/tex]
[tex]x = \frac{14}{4} - \frac{32}{4}[/tex]
[tex]x = -\frac{18}{4}[/tex]
[tex]x = -4.5[/tex]
y-coordinate:
y-coordinate of A: -2
y-coordinate of B: 2
y-coordinate of T: y.
[tex]T - A = \frac{1}{4}(B-A)[/tex]
[tex]y - (-2) = \frac{1}{4}(2-(-2))[/tex]
[tex]y + 2 = 1[/tex]
[tex]y = -1[/tex]
The coordinates of the point are (-4.5,-1).
Malcolm buys a 5/6-pound bag of black beans and a 3/4-pound bag of pinto
Answer:
1 7/12Step-by-step explanation:
I think that you want to know how many total pounds of beans do you have.
Well, to find this, simply find the LCM of 6 and 4. That is 12.
So convert the fractions to have a denominator of 12.
10/12, 9/12
Now add:
(10+9)/12 = 19/12 = 1 7/12
In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the shorter leg.
Answer:
15
Step-by-step explanation: I believe that's the answer because the hypotenuse in a 30 60 90 is x2 and 15x2=30
Answer:
15
Step-by-step explanation:
Paul was thinking of a number. Paul divides by 3, then adds 10 to get an answer of 2. What was the original number?
Answer:
-24
Step-by-step explanation:
let 'n' = the number
n/3 + 10 = 2
n/3 +10 - 10 = 2 - 10
n/3 = -8
n = -24
Answer:
x= -24
Step-by-step explanation:
let the number be x
x/3 +10=2
Multiply through by 3
3 * x/3 + 3 *10 = 2*3
x + 30 = 6
x= 6 - 30
x= -24
note * = multiplication sign
A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. the napkin has a perimeter of 48 centimeters. trigonometric area formula: Area = 1/2abSin(c). To the nearest square centimeter, how many square centimeters of the plate are covered by the napkin? show your work for full credit.
Answer: C.) 56 square centimeters
Step-by-step explanation:
Original Price: $90 Sale Price: $58.50
(Find the percent of increase)
Answer:
The answer is 35% increase
In ΔXYZ, ∠Y=90° and ∠X=16°. ∠ZWY=42° and XW=260. Find the length of ZY to the nearest integer. (9th grade honors geometry)
Step-by-step explanation:
[tex] \tan(16) = \frac{y}{260 + x} \\ (260 + x) \times \tan(16) = y \\ 74.55 + 0.286x = y \\ y = 0.286x + 74.55[/tex]
[tex] \tan(42) = \frac{y}{x} \\0.9 x = y[/tex]
[tex]0.9x = 0.286x + 74.55 \\ 0.614x = 74.55 \\ x = 121.42[/tex]
[tex]y = 0.9x \\ y = 109.27 = 109[/tex]
The length of ZY is [tex]109.27[/tex]
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
What is length?
Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived. In the International System of Units system the base unit for length is the meter.
According to question, In ΔXYZ, ∠Y=90° and ∠X=16°. ∠ZWY=42° and XW=260.
We have to find the the length of ZY.
Let the length of ZY be [tex]x[/tex] and WY be [tex]y[/tex]
From the given question and figure
[tex]tan16[/tex]°[tex]=\frac{y}{260+x}[/tex]
⇒[tex]tan16[/tex]°×[tex](260+x)=y[/tex]
⇒[tex]y=0.286x+74.55[/tex]
Now,[tex]tan42[/tex]°[tex]=\frac{y}{x}[/tex]
⇒[tex]y=0.9x[/tex]
From both the above equation,
[tex]0.9x=0.286x+74.55[/tex]
⇒[tex]x=121.42[/tex]
[tex]y=0.9x=109.27[/tex]
Hence, we can conclude that the length of ZY is [tex]109.27[/tex]
Learn more about trigonometry here:
https://brainly.com/question/22698523?referrer=searchResults
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Question 1.
5x+2y=-7
15x+6y=21
No solution, One solution, or infinite solution?
Question 2.
Y=2x+1
2x-4=1
No solution, one solution, or infinite solution?
Question 3.
6x+4y=10
3x+2y=5
No solution, one solution, or infinite solution?
Answer:
Q1: no solution
Q2: one solution
Q3: infinite solutions
Step-by-step explanation:
Question 1
Answer: No solution
-------------------
Explanation:
Multiply both sides of the first equation by 3. Doing so leads to
3*(5x+2y) = 3*(-7)
15x+6y = -21
The second equation is 15x+6y = 21
Let's say we let z = 15x+6y
This means the system
[tex]\begin{cases}15x+6y = -21\\15x+6y = 21\end{cases}[/tex]
becomes
[tex]\begin{cases}z = -21\\z = 21\end{cases}[/tex]
but we can't have z be equal to more than one value at a time. We have a contradiction and therefore there are no solutions.
===============================================
Question 2
Answer: One solution
The solution is (x,y) = (5/6)
-------------------
Explanation:
Apply substitution
2x - 4y = 1
2x - 4(2x+1) = 1
2x - 8x - 4 = 1
-6x - 4 = 1
6x = 1+4
6x = 5
x = 5/6
Then use this to find y
y = 2x+1
y = 2(5/6)+1
y = 5/3 + 1
y = 5/3 + 3/3
y = 8/3
The one solution is (x,y) = (5/6)
===============================================
Question 3
Answer: Infinitely many solutions
-------------------
Explanation:
Multiply both sides of the second equation by 2
3x+2y = 5 becomes 2*(3x+2y) = 2*5 which turns into 6x+4y = 10
This is exactly identical to the first equation of the original system given.
So both equations represent the same thing. We have infinitely many intersection points, and infinitely many solutions.
All of these solutions are on the line 3x+2y = 5
PLEASE HELP GEOMETRY
Answer:
2x=8
x=4
Step-by-step explanation:
There are 3000 bacteria in a dish. The population decreases by 20% per day. How many bacteria are left after 3 days?
Answer:
1536 bacteria
Step-by-step explanation:
3000×0.80³ = 1536
This is an exponential equation of the form
[tex]F=Ir^t \\ \\
F=3000(0.8)^3 \\ \\
F=1536[/tex]
If Pooh Bear spots a bee hive in a tree at an angle of elevation of 48 degrees, then what is the angle of depression of the Queen Bee who's on that same hive spots Pooh Bear? (Answer in degrees.)
Answer:
∅ = 90 - 48 = 42°
Step-by-step explanation:
Can someone help plzzz!!!
Answer:
4
Step-by-step explanation:
4•4•4 = 64
Answer:
4
Step-by-step explanation:
cubic root of 64 is 4, since 4^3 = 64
can someone give me the slope and y-intercept for this problem
Answer:
Slope: 2
Y-intercept: -4
Step-by-step explanation:
Slope = y2 - y1 / x2 - x1
Slope = -2 - -4 / 1 - 0
Slope = 2 / 1
Slope = 2
Y-intercept is when x = 0
This is shown on the first row
When x = 0, y = -4, which is our y-intercept
Find the area of the composite figure.
Answer:
Step-by-step explanation:
84
Step-by-step explanation:
refer to the above attachment please
A contractor claims the mean value of his compression test is 6500 psi and has astandard deviation of 500 psi. You attempt to check this by taking 8 sample measurements and findyour average is 5900 psi. If your levelof significance is 0.01, would you believe the means are the same
Answer:
This value of 5675 psi by the contractor is safer than 5487.5 psi as it is of lesser value.
Step-by-step explanation:
The following parameters are given from the question above. These information is used in solving this problem.
=> The mean value of his compression test = 6500 psi, the standard deviation = 500 psi, the average of the mean = 5900 psi and the number of sample measurements = 8.
The first thing to do right now is to determine the characteristic strength, this can be calculated as below:
Characteristic strength= average of the mean - (1.65/2) × standard deviation.
Characteristic strength = 5900 - (0.825) × 500 = 5487.5 psi.
The next thing to do is to Determine the target mean strength.
Target mean strength = 5487.5 psi + 1.65 × 500 = 6312.5 psi.
The above is from taking samples from 8 samples.
Now, let's consider the characteristic strength by the contractor.
Characteristics strength = 6500 - 165 × 500 = 5675 psi.
This value of 5675 psi by the contractor is safer than 5487.5 psi as it is of lesser value.
is 2.58 greater than or less than 2.7 there decimals and it's 4th grade and it's math
Answer:
2.58 is less than 2.7
Step-by-step explanation:
Please help i will give brainliest
Answer:
Step-by-step explanation:
area of rectangle = 8×5 = 40 cm²
area of semicircle = ½×π4² = 8π cm²
total area = 40 + 8π ≅ 65.1 cm²
:::::
area of circle = π2² = 4π in²
area of square = 4⁴ = 16 in²
blue area = 16 - 4π ≅ 3.4 in²
3/5 of Alice's stickers is twice as many as Berniece's stickers. Alice has 56 more stickers than Bernice.
(a) Find the ratio of Alice's number of stickers to Bernice's number of stickers.
(b) How many stickers does Bernice have?
graph rational number of 0.9, -2/1/2, 0.25, -3/4 in number line
Answer:
Step-by-step explanation:
Given the rational number :
0.9, -2/1/2, 0.25, -3/4
Converting all to decimal;
0.9 = 0.9
-2 1/2 = - 2.5
0.25 = 0.25
-3/4 = - 0.75
Kindly check the ttcjed picture for the number line graoh
I am once again asking for your help
Convert the expression (√3)(∜3) to exponential form. Show your work.
Answer:
(3^1/2)(3^1/4)
Step-by-step explanation:
Use the formula
[tex]\sqrt[n]{a} ^x[/tex] = [tex]a^{\frac{x}{n} }[/tex]
[tex]\sqrt{3}[/tex]
a = 3
n = 2, we do not write it because square root is basically replacing it
x = is a period in this case period is 1
[tex]\sqrt[4]{3}[/tex]
a = 3
n = 4
x = 1
Exact Form:
[tex]3^{\frac{3}{4} }[/tex]
Decimal Form:
2.27950705
…
Hope it helps:)
Ali and Sami share some sweets in the ratio 4: 7. Sami receives 15
more sweets than Ali. How many sweets do they each get?
Answer:
Ali = 12, Sami = 21
Step-by-step explanation:
Ali = 4x, Sami = 7x
lets make an equation
7x-4x=15
3x=15
x=3
Now when we know x we can find how many candies each got
3*4=12, 3*7=21
the perimeter of the rectangle ia 74 inches it is 27 inches wide how deep is it
Answer:
10 inches
Step-by-step explanation:
Assuming that by 'deep' you mean length, we can set up a simple algebraic expression to solve this problem. We know that a rectangle has 4 sides, 2 of them equal sides, and all of those sides added up equals the perimeter. To say that algebraically, [tex]2a+2b=p[/tex]. We can fill in the blanks on this equation to solve.
[tex]2(27)+2b=74\\\\54+2b=74\\2b=20\\b=10[/tex]
The length of the other side is 10 inches.
Hope this helped!
The Pythagorean theorem applies to
triangles
obtuse
right
acute
Answer:
Right triangles
Step-by-step explanation:
Answer:
Right Triangles
I need help with this
look at picture
Complementary angles
Answer:
77
Step-by-step explanation:
48 + (x-35) = 90
x-35 = 90-48
x-35 = 42
x = 42+35
x = 77
beckys weight is 12% less than Bill's weight. Then Bill's weight is what percent of Becky's?
Answer:
whats the total wight of each person
Step-by-step explanation:
Need it ASAP no rocky
Answer:
Value of x = 19.42 unit (Approx)
Step-by-step explanation:
Given:
Base = 6 unit
Angle θ = 72°
Find:
Value of x
Computation:
Cos θ = base / Hypotenuse
Cos 72° = 6 / x
0.3090 = 6 / x
x = 19.4174
Value of x = 19.42 unit (Approx)
1. Define transformation using the words preimage and
image.
Answer:
A transformation is when the preimage of a shape is changed in size or shape into a new image
Step-by-step explanation:
Answer: A transformation is the process of manipulating an polygon or an two-dimensional shape or object on a coordinate plane.
Step-by-step explanation: I attached a image for you to see.
I need help. Please check this problem for accuracy I turn it in tomorrow.
Answer:
you are 100% correct (^_^)
Step-by-step explanation:
Find the midpoint of the line segiment with the given endpoints. (-9,-7) and (-8,-5)
Answer:
what's your question I am not understanding
A store manager is inspecting two large bags of nuts. In bag A, 35% of the nuts are cashews. In bag B, 40% of the nuts are cashews. She selects a simple random sample of 30 nuts from bag A and a simple random sample of 35 nuts from bag B. What is the approximate probability that the proportion of cashews in the sample from bag A is greater than the proportion of cashews from bag B
Answer:
0.339
Step-by-step explanation:
Guys is my answer correct ?
Answer:
Yeppers Peppers. (That means yes)
Step-by-step explanation:
You did a good job on that. Good work!