Answers
Answer:
Exact: [tex]4\sqrt{55}[/tex] m
Approximate: 29.7 m
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
[tex]9^2+b^2=(31\sqrt{5} )^2[/tex]
[tex]81+b^2=31^2(5)[/tex]
[tex]b^2=961-81[/tex]
[tex]b=\sqrt{880} =4\sqrt{55}[/tex]
[tex]4\sqrt{55}[/tex] ≈ 29.7 m
Hope this helps!
Related Questions
90 is the product of five and Diego’s age use a variable D to represent Diego’s age
Answers
Answer:
Deigo is 18years of age
explaination
[tex]5 \times d = 90 \\ 5 d = 90 \\ 5d \div 5 = 90 \div 5 \\ d = 18[/tex]
this is how to solve it.
The equation is:
Answer: the number of labor was :
Answers
Answer:
equation: 1368 = 380 +52xlabor hours: 19Step-by-step explanation:
The desired equation will relate labor cost, parts cost, and total cost.
A.The total cost is the sum of the parts cost and the product of labor hours and labor rate. We're told to use x to represent labor hours.
total cost = part cost + (labor rate)(labor hours)
1368 = 380 + 52x
__
B.This equation can be solved in 2 steps:
988 = 52x . . . . . . . step 1, subtract 380 from both sides
19 = x . . . . . . . . . . step 2, divide both sides by the coefficient of x
The number of labor hours was 19.
What is g(-2) for g(x) =1/2x^2+2x?
Does anyone know this
Answers
Step-by-step explanation:
please mark me as brainlest
A gym has 12 exercise stations, including 4 weightlifting benches.
What is the probability that a randomly selected exercise station will be a weightlifting bench?
Answers
probability : 1/3
Explanation:
total people : 12weightlifting benches : 4probability = selected/total
Here,
probability = 4/12 = 1/3 = 0.33E=Weightlifting bench
So
P(E)=4/12P(E)=1/3In the game of roulette, a player can place a $7 bet on the number 5 and have a 1/38 probability of winning. If the metal ball lands on , the player gets to keep the $7 paid to play the game and the player is awarded an additional $245. Otherwise, the player is awarded nothing and the casino takes the player's $7. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose? Question content area bottom Part 1 The expected value is $ -0.37. the player would expect to lose about $
Answers
Answer:
973.68 times
Step-by-step explanation:
Since you would expect to win 1 in 38, the amount of times you will win in 1000 times is 1000 / 38 which is 26.32. therefore you would expect to lose 1000 - 26.32 times which is 973.68
For the function f(x)=−7x2+8x−8, find f(4).
Answers
Answer:
- 88
Step-by-step explanation:
[tex]f(x ) = - 7 {x}^{2} + 8x - 8 \\ plug \: x = 4 \\ \\ \implies \: f(4 ) = - 7 {(4)}^{2} + 8(4) - 8 \\\\ \implies \: f(4 ) = - 7 \times 16 + 32 - 8 \\\\ \implies \: f(4 ) = - 112+ 32 - 8 \\ \\ \implies \: f(4 ) = - 120+ 32 \\\\ \implies \: f(4 ) = - 88 \\[/tex]
You randomly choose one of the morales.Without replacing the first marble, you choose a second marble. What is the probability of choosing red and then green?
P(Red and green)=1/4*1/4=1/16
(I really need help)
Answers
P(A and B) = P(A) x P(B after A)
Choose the first marble
The total number of hypothetical marbles are, hypothetically speaking, 4 on a hypothetical basis, and there is one red marble.
P(red)=1/4
Choose the second marble
Without hypothetically replacing the hypothetical first marble, you choose the hypothetical marble, hypothetically speaking. So, the total hypothetical number of marbles are, hypothetically, 3, and there is, hypothetically, one green marble.
P(green) = 1/3
The probability of choosing red and then, hypothetically, green is:
P(red and green) = P(red) x P(green)
=1/4 x 1/3
= 1/12
P(red and green) is hypothetically equal to 1/12 on a hypothetical account.
Final hypothetical answer: 1/12
Rewrite the expression without using a negative exponent.
1/3n^-4
Answers
Answer:n^4/3
Step-by-step explanation:
find rate
a)the interest of Re.1 of 1 month is 1 paisa.
b)the interest of re.1 of 1 month is 2 paisa
Answers
Step-by-step explanation:
A.) Correct Answer: 12%
Given , Principle = ₹ 1 , Time = 1 month = ( 1 / 12 ) year and SI = 1 paisa = ₹ ( 1 / 100 )
As we know that ,
Rate =SI × 100Principal × Time
Rate =(1 ÷ 100) × 100= 12% p.a.1 × (1 ÷ 12)
B.) Correct Answer:
Answer:
See below ↓
Step-by-step explanation:
a) I = Prt
r = I/Ptr = 0.01/1x(1/12)r = 0.12r = 12%b)
r = I/Ptr = 0.02/1x(1/12)r = 0.24r = 24%Help picture below problem 6
Answers
Answer:
g is 37
Step-by-step explanation:
supplementary means two angles that add up to 180°
180-143=37
What is the area of the figure below ?
A. 12
B. 15
C. 18
D. None of these
Answers
Step 1: Find the area of the larger rectangle
Area of a rectangle = base x height
Area = 4 x 3 = 12
Step 2: Find the area of the other rectangle
The tricky part about this one is that we aren't given the length of this rectangle. We do know, however, that the whole base of the figure is 6 and 3 units are taken up by the first rectangle. Therefore, the length of this rectangle is 3.
Area = 2 x 3 = 6
Step 3: Find the area of the figure
Now that we know the area of both rectangles by themselves, all that's left to do is add them up.
6 + 12 = 18
Answer: 18
Hope this helps!
Answer:
18
Step-by-step explanation:
A=bh
A=3x4 A=3x2
12+6=18.
A construction company is building the house shown below. They need to use a scale
of 1 in: 8f (1 inch = 8 feet). They measured the drawing to find that that the height of
the building is 2.5 in.
1.) Explain to the construction workers how they would use this information to
calculate the height of the final building.
2.) What is the height of the final building?
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Answers
Using proportions, we have that:
The height of the building is found using a rule of three.The height is of 20 feet.What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The scale is of 1 inch = 8 feet. What is the height for 2.5 inches? The rule of three is given by:
1 inch - 8 feet.
2.5 inches - x feet
Applying cross multiplication, the height in feet of the final building is given by:
x = 8 x 2.5 = 20 feet.
More can be learned about proportions at https://brainly.com/question/24372153
The height of the building is calculated by representing 1 inch as 8 feet. The final building has a height of 20 feet.
What is scaling?Scaling is the increase or decrease in the height of an object by a scale factor k.
Given that the scale used is:
1 inch = 8 feet. Hence:
Since the height of the building is 2.5 in, hence:
Height of the final building = 2.5 in * 8 ft per 1 in = 20 feet
The height of the final building is 20 feet.
Find out more on scaling at: https://brainly.com/question/25722260
......................................
Answers
Answer:
D. f(x) = x - 4
Step-by-step explanation:
If you plug in the x values for the expression x - 4:
3 - 4 = -1
4 - 4 = 0
5 - 4 = 1
6 - 4 = 2
This means that the function rule is f(x) = x - 4
Hope this helps :)
I’m not sure the steps to figure out the problem. X = 2 to x =4
Answers
Answer:
you have to put the Y in the formula or make a comparison
A Cinema has 240 seats. 144 seats were sold
for the current movie. What percent of seats
are empty?
Need help please :)
Answers
Answer:
the answer is 40%
Step-by-step explanation:
240 – 144 = 96
96÷240=0.4=40%
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
An object is thrown upward from the top of 96-foot building with an initial velocity of 80 feet per second. The height h of the object after t seconds is given by the quadratic equation h=16t^2+80t+96. When will the object hit the ground?
Answers
The function of the object height is an illustration of a projectile motion
The object will never hit the ground
How to determine when the object hits the ground?
The function is given as:
h=16t^2+80t+96.
When the object hits the ground, h = 0
So, we have:
16t^2+80t+96 = 0
Divide through by 16
t^2+5t+6 = 0
Expand
t^2 + 3t + 2t + 6 = 0
Factorize
t(t + 3) + 2(t + 3) = 0
Factor out t + 3
(t + 2)(t + 3) = 0
Solve for t
t = -2 or t = -3
The time (t) cannot be negative.
Hence, the object will never hit the ground
Read more about projectile motion at:
https://brainly.com/question/1130127
Answer:
6
Step-by-step explanation:
did this question in savvas
PLSSS HEELPPP A line passes through (3, -2) and (6, 2).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
a. y+2= 4/3(x+3); -4x+ 3y= -18
b. y+2= 4/3(x-3); -4x+3y= -18
c. y-2= 4/3(x-3); -4x+3y= 18
d. y-3= 4/3(x+2); -4x+3y= 17
Answers
Answer:
b)
Step-by-step explanation:
Question (a)
[tex]\sf let \ (x_1,y_1)=(3,-2)\\\\\sf let \ (x_2,y_2)=(6,2)[/tex]
[tex]\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-(-2)}{6-3}=\dfrac43[/tex]
Point-slope formula: [tex]\sf y-y_1=m(x-x_1)[/tex]
Substituting m and point (3, -2) into the formula:
[tex]\sf y-(-2)=\dfrac43(x-3)[/tex]
[tex]\sf y+2=\dfrac43(x-3)[/tex]
Question (b)
Rewrite in standard form:
[tex]\sf y+2=\dfrac43x-4[/tex]
[tex]\sf \implies y=\dfrac43x-6[/tex]
[tex]\sf \implies 3y=4x-18[/tex]
[tex]\sf \implies -4x+3y=-18[/tex]
The side of the clip on a clip board appears to be a right triangle. The
leg lengths are 2 millimeters and 2.1 millimeters and the hypotenuse
is 2.9 millimeters. Is the side of the clip a right triangle?
Answers
Answer:
Yes, it is a right triangle.
Step-by-step explanation:
Answer:
Yes, this is a right triangle.
Step-by-step explanation:
For this, you would use the Pythagorean theorem a^2 + b^2=c^2
Here we have 2^2+2.1^2=2.9^2
So we must check to see if that checks out. What we find is that both sides are equal to 8.41 which means we have a right triangle.
3 1/6 + 8 2/9 - 1 1/2 =?
Answers
Answer:
9 8/9
Step-by-step explanation:
What is the value of x in the equation –2.4x = 8.4?
Answers
Answer:
x= 3.5
Step-by-step explanation:
2.4 x= 8.4
x= 8.4 /2.4
x= 3.5
Answer:
X= -3.5
Step-by-step explanation:
You are trying to find what x is, and x is being multiplied with -2.4. The easiest way to find the answer is to divide 8.4 by -2.4. This way, you will get your answer of -3.5. Because two negatives make a positive when you multiply, 8.4 is not negative.
How I solved this.
-2.4x = 8.4
8.4=total
-2.4= Needs to be multiplied with x
x=?
8.4/-2.4=-3.5
Check your work:
-2.4(-3.5)=8.4
Final answer:
x= -3.5
I hope this helps!
-No one
The sides of a fair number cube are labeled 1, 2, 3, 4, 5, and 6. What is the theoretical probability that the number cube will land with the number 5 facing up?
Answers
Answer:
Probability that the number cube will land with the number 5 facing up
=5/6
Hope this helps, just used my mind
Step-by-step explanation:
Please mark me brainliest if correct
pls help...
What is the mode for the set of data?
Answers
Answer:
9
[tex]\rule{70mm}{2pt}[/tex]
Step-by-step explanation:
In statistics, the mode is the value that is repeatedly occurring or you can say that has higher frequency in a given set of numbers or values. For instance in (1, 2, 5, 6, 2, 3) mode is 2 because it has appeared in the given set twice.
As in the given problem, the cross represents the number of a particular number, indicating whether the given number is repeated or not. And if repeated, how many times?
→ 5, 6, 10 = 1 (number of repetition; each)
→ 7, 8 = 2 (number of repetition; each)
→ 9 = 3 (number of repetition)
Therefore, the mode for the given set of data is 9.
Help help help help math
Answers
Answer:
(-8, 12)
Step-by-step explanation:
Dilation of point (-4, 6) about point (0, 0)
Scale factor = 2
Image coordinate:
(-8, 12)
hope this helps and is right!! p.s. i really need brainliest :)
Event A has a 90% chance of occurring. Event B has a 20% chance of occurring. The correlation (i.e. whether they tend to occur together, or separately, or are unrelated) between the events is unknown.
What is the maximum probability that both event A and event B will occur?
What is the minimum probability that both event A and event B will occur?
Answers
The maximum probability that both event A and event B will occur is 18%.
How to compute the probability?From the information, Event A has a 90% chance of occurring. Event B has a 20% chance of occurring. Therefore, the maximum probability will be:
= 90% × 20%
= 18%
The minimum probability that both event A and event B will occur will be:
= (90% + 20%) - 1
= 1.10 - 1
= 10%
Learn more about probability on:
https://brainly.com/question/24756209
[tex] \rm \sum_{n = 1}^{ \infty } \frac{( - {1)}^{n + 1} }{n \binom{2n}{n} } \\ [/tex]
Answers
Recall the well-known series
[tex]\displaystyle 2 \arcsin^2(x) = \sum_{n=1}^\infty \frac{(2x)^{2n}}{n^2 \binom{2n}n}[/tex]
Replace x with √x :
[tex]\displaystyle 2 \arcsin^2(\sqrt x) = \sum_{n=1}^\infty \frac{(4x)^n}{n^2 \binom{2n}n}[/tex]
Differentiate both sides:
[tex]\displaystyle -\frac{\arcsin(\sqrt x)}{2\sqrt{x-x^2}} = \sum_{n=1}^\infty \frac{(4x)^n}{n \binom{2n}n}[/tex]
Multiply by 4x :
[tex]\displaystyle -\frac{4x \arcsin(\sqrt x)}{2\sqrt{x-x^2}} = \sum_{n=1}^\infty \frac{(4x)^{n+1}}{n \binom{2n}n}[/tex]
All the series I've mentioned converge for |x| < 1, so we can take x = -1/4 to find the value of the sum we want.
[tex]\displaystyle \sum_{n=1}^\infty \frac{(-1)^{n+1}}{n \binom{2n}n} = -\frac{4 \times \left(-\frac14\right) \arcsin\left(\sqrt{-\frac14}\right)}{2\sqrt{-\frac14-\left(-\frac14\right)^2}} = -\frac{\arcsin\left(\frac i2\right)}{\frac{\sqrt5\,i}2}} = \boxed{\frac2{\sqrt5} \mathrm{arsinh}\left(\frac12\right)}[/tex]
where
[tex]\arcsin\left(\frac i2\right) = z \iff 2\sin(z) = -2i\sinh(iz) = i \implies z = i \, \mathrm{arsinh}\left(\frac12\right)[/tex]
The sphere below has a radius of 25 cm.
O
25 cm
Work out the volume of the sphere.
Give your answer correct to 1 decimal place.
Volume of sphere= tr3
cm3
Answers
Answer:
65449.8 cm3
Step-by-step explanation:
We start with the volume formula for a sphere: 4/3 πr3
We start with subbing in 25 to r, then we cube 25, which is equal to 15625.
We multiply 4/3 and pi. And lastly we multiply what we got by 15625 and either round the answer or fphaving fixed your calculator.
A production process produces 2.5% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?
Answers
Using the binomial distribution, it is found that there is a 0.0058 = 0.58% probability that the sample contains exactly two defective parts.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we want P(X = 2) with p = 0.025, n = 5, hence:
[tex]P(X = 2) = C_{5,2}.(0.025)^{2}.(0.975)^{3} = 0.0058[/tex]
There is a 0.0058 = 0.58% probability that the sample contains exactly two defective parts.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Two cars, one traveling north and
one traveling east leave a city.
The car traveling north goes X
miles while the car traveling east
has gone ×+4 miles. If the
distance between the cars at this
moment is 20 miles find the
distance the car traveling east has
traveled.
Answers
Chicago is home to 2.706 million people and the city sees approximately 55 million visitors each year. China has a population of 1.393 billion. If their visitors were proportional to Chicago, how many visitors could China expect? Write your answer in scientific notation rounded to two decimal places. Provide your answer below: x 10^ visitors
Answers
China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago.
How to apply direct proportions
A direct proportion is a direct relationship between two variables, which in this case is represented between the quantity of tourists in the city of Chicago and the population of the country of origin.
Let suppose the existence of direct proportionality and world has a population of 9000 million people, the quantity of Chinese visitors in the city of Chicago is determined by the following formula:
x = (1.393 × 10⁹ / 9 × 10⁹) × 55 × 10⁶
x = 8.512 × 10⁶
China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago. [tex]\blacksquare[/tex]
To learn more on direct proportions, we kindly invite to check this verified question: https://brainly.com/question/14389660
Modern Electronics offers a one-year monthly installment plan for a big screen TV. The payment for the first month is 882, and then it increases by 4% each month for the rest of the year. Which expression can be used to find the total amount paid in the first 12 months?
Answers
✿————✦————✿
Answer: A
[tex]62=\frac{12(1.04^{12}-1) }{1.04-1}[/tex]
✿————✦————✿