3. The rectangle below has an area of 297 in. Find the length of the diagonal.
14
27 in.
odhad.

3. The Rectangle Below Has An Area Of 297 In. Find The Length Of The Diagonal.1427 In.odhad.

Answers

Answer 1

9514 1404 393

Answer:

  29.15 in

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

Filling in the given information, we can find the missing side length.

  297 in² = (27 in)h

  h = (297 in²)/(27 in) = 11 in

The length of the diagonal can be found from the Pythagorean theorem.

  d² = 27² + 11² = 729 +121 = 850

  d = √850 = 5√34 ≈ 29.15476

The length of the diagonal is about 29.15 inches.


Related Questions

what is the 3rd quartile ?

Answers

Answer:

The upper or third quartile, denoted as Q3, is the central point that lies between the median and the highest number of the distribution.

Step-by-step explanation:

An introductory psychology class has 9 freshman males, 15 freshman females, 8 sophomore males, and 12 sophomore females. A random sample of n = 2 students is selected from the class. If the first student in the sample is a male, what is the probability that the second student will also be a male?

Answers

Answer

16/43

Step-by-step explanation:

17 Male + 27 female = 44 students

now n= 2 so first student was male so one male student was taken out of the equation so 16 male left. now left male students by remaining students  so now total left students = 43

so, prob = remaining males/remaining students=16/43

calculate the area of a triangle

Answers

Answer:

Area of triangle formula is ;

[tex] \frac{1}{2} bh[/tex]

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

697.5 ft squared

Step-by-step explanation:

Divide into top two squares and rectangle on bottom so...

(10×7.5)+(8×7.5)×(12.5×45)=area

75+60+562.5=697.5 ft squared

697.5! Should be correct the one above me explains perfectly!❤️

9)
The delivery van uses 33 litres of diesel to travel 264 miles.
How far would the van travel using 40 litres of diesel?​

Answers

Answer:

find how much the truck travels in,a litre

you roll a number cube numbered from 1 to 6. What id the probability that the number is a 3

Answers

Answer:

1 / 6

Step-by-step explanation:

S = { 1, 2, 3, 4, 5, 6 }

n ( S ) = 6

Let A be the event of getting the number " 3 ".

A = { 3 }

n ( A ) = 1

P ( A ) = n ( A ) / n ( S )

P ( A ) = 1 / 6

Therefore,

the probability that the number 3 is 1 / 6.

Find the measure of the missing angles.
b
100°
0

Answers

Step-by-step explanation:

Angle b + 100 = 180 (angles on the same straight line)

[tex]b + 100 = 180 \\ b = 180 - 100 \\ = 80[/tex]

Angle c = Angle b (Vertically opposite angles)

= 80 deg

write - 5R - 5U in polar form​

Answers

Answer:

(r,0)

Step-by-step explanation:

5r - 5u = 5(r - u)

Polar time coordinate = 0

So (r, 0)

What is the image of the point (4,1) after a rotation of 270° counterclockwise about
the origin?
Will give brainliest

Answers

Answer:

1,-4

Step-by-step explanation:

formula for rotation of 270 is (x,y) to (y,-x)

Help thank you so much

Answers

Answer:

1.c

2.b

3.a

4.d

5.c

Step-by-step explanation:

please click the heart and rate excellent and brainleist to ☺️☺️

Use triangle DEF shown below to answer the question that follows. What is the value of X rounded to the nearest hundredth?

Answers

Answer:

it might be x=63.27

Step-by-step explanation:

A local car dealership currently has 36 used GM, Food, and Toyota vehicles on the lot that are cars or turcks. Inventory shows the following: 26 vehicles are cars, 10 are trucks, 11 vehicles are GM's, 15 vehicles are Fords. Three vehicles are Toyota trucks and 14 vehicles are Ford cars. What is the probability that a randomly selected vehicle is either a Ford or a car

Answers

Answer:

P (F or C)  = 27/36= 0.75

Step-by-step explanation:

There are 36 vehicles in all.

There are total 26 cars.

There are total Ford vehicles which are 15 in number out of which 14 are cars. The results can be summarized as follows.

                           Cars                   Trucks            Total Vehicles

Ford                           14                           1                      15

Toyota                      7                              3                     10

Gm                            5                              6                     11                    

Total                        26                            10                     36      

As the events are composite

The probability of randomly selecting vehicle is either a Ford or a car is given by  P (F or C) = P(F) + P(c)- P(FC)

where P(F) is the probability of the Ford car and P (C) is the probability of the car.

P(F)= 15/ 36

P(C)= 26/36

P(FC)= 14/36

This is the additive rule applied for composite events.

P (F or C) = P(F) + P(c)- P(FC)

             = 15/36 + 26/36- 14/36

                = 27/36=0.75

Help Broo i'm lost il give brainiest

Answers

Answer: here is your answer

Step-by-step explanation:

A= 16

B= -8

C= 6

D= -16

E= -4

2. 48 degrees 17 x
(solve for x. round to the nearest tenth)

Answers

Answer:

67

Step-by-step explanation:

you divide the 48/17 yo get 67

Solve each equation by taking square roots : NEED THIS ASAP WILL GIVE BRAINLIEST

Answers

Answer:

1.) M=9,-9  2.) x=10,-10  3.) n=3,-3  4.) x=2,-2

Step-by-step explanation:

Can you please help me do a and b I will reward brainliest

Answers

Answer:

a) 640.32 cm^3

b) 98.4 cm^3

Step-by-step explanation:Part a)Cylinder volume:

(3.14) × 2^2 × 12 = 150.72 cm^3

Triangular prism:

We need to find the height of the base so we use the Pythagorean theorem.

5^2 + x^2 = 14.1^2

25 + x^2 = 198.81

x^2 = 173.81

x = 13.184

After finding height, we can use the equation for a normal triangular prism:

[tex]\frac{1}{2}[/tex] × Base × Height × Length

[tex]\frac{1}{2}[/tex] × 13.184 × 10 × 12= 791.04cm^3

Total Volume: 791.04 - 150.72 = 640.32 cm^3

Part b)Small Sphere Volume:

[tex]\frac{4}3[/tex] × 3.14 × 1^3 = [tex]\frac{314}{75}[/tex]cm^3

Half Sphere Volume :

0.5([tex]\frac{4}3[/tex]× 3.14 × 3^3) = 56.52cm^3

Cone Height:

5^2 = 3^2 + h^2

25 = 9 + h^2

16 = h^2

h = 4

Cone Volume:

(3.14) × 3^2 × [tex]\frac{4}{3}[/tex] = 37.68 cm^3

Total Volume = 98.4 after rounding

help aced and expert giving 20 points

Answers

The correct answer is 0.0625 square meters.

what is the range (math)?​

Answers

Answer:

9-0=9

Step-by-step explanation:

highest- lowest=range

Answer:

Definition: About Transcript. The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number.

How to find: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

hope this helps!

Only 3 more questions to go

Answers

90° angle on a straight lines gotta be 180°

GUYS HELP ME PLS. Tina is standing at the bottom of a hill. Matt is standing on the hill so that when Tina's line of sight is
perpendicular to her body, she is looking at Matt's shoes.
a. If Tina's eyes are 5 feet from the ground and 14.5 feet from Matt's shoes, what is the angle of elevation of
the hill to the nearest degree?

Answers

Answer:

71°

Step-by-step explanation:

The angle of elevation of the hill can be obtiaed using trigonometry :

Given

the opposite length = 14.5 feets

Adjacent = 5 feets

The angle of elevation vabnbe obtained using :

Tan θ = opposite / Adjacent

Where θ = angle of elevation

Tan θ = 14.5 / 5

Tan θ = 2.9

θ = tan^-1(2.9)

θ = 70.97 = 71°

When a baby Giraffe was born it weight 150 Pounds over the next 5 years it gained Equal amounts of weight each year. The Giraffe now weight 675 pounds. How much was the weight gain per year?

Answers

Answer:

135 per year because 675 ➗ 5 = 135

I just need help finding out the missing sides

Answers

DON'T OPEN IT, IT'S A VIRUS!!

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

Step-by-step explanation:

║( - 5, 3 )║ = √34

help pls ! need it asap

Answers

Answer:

m∠X = 110°

m∠V = 60°

Step-by-step explanation:

1.) Angle Y and W are equal from the markers, which means the angles are equal

35*2 = 70

180 - 70 = 110 ( You know it has to be greater than 90 because it's larger than a corner angle)

2.) This is another isosceles (equal angle and sides)

Some times all sides aren't equal on isosceles but you can see these are

180/3 = 60°

A stationery store wants to estimate the mean retail value of greeting cards that it has in its inventory. A random sample of 15 greeting cards indicates an average value of $3.00 and a s of $0.40. The critical value for a 99% confidence interval is

Answers

Answer:

The critical value for a 99% confidence interval is T = 2.9768

Step-by-step explanation:

We have the standard deviation of the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 15 - 1 = 14

Critical value

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.9768

The critical value for a 99% confidence interval is T = 2.9768

Find the mean for the following group of data item 1, 7, 5, 4, 9, 6, 7, 4

Answers

Mean=(1+7+5+4+9+6+7+4)/ 8=43/8=5.375

Answer:

5.375

Step-by-step explanation:

if a sphere has radius of 13 centimeters what is the volume

Answers

The answer is 8788pi/3 Hope this helps! Mark brainly please!

The difference between the squares of two numbers is 35. Twice the square of
the first number increased by the square of the second number is 73. Find the
numbers.

Answers

Answer:

Los números son

7 y 8

Explicación paso a paso:

Si el número menor es "x"  , el mayor es "x + 1"

entonces

( x + 1 )² - x² = 15

x² + 2x + 1 -x² = 15

2x + 1 = 15

2x = 15 - 1

2x = 14

x = 14/2

x = 7  (  número menor )

x + 1  = 7 + 1

x + 1 = 8 ( número mayor )

Look at the pattern below. Which fraction would complete the pattern?
1/4, 2/8, ___, 4/12.
answer
A. 3/12
B. 3/14
C. 3/9
D. 3/15​

Answers

The answer is: A. 3/12

I WILL GIVE BRAINIEST IF ANSWERED WITH EXPLANATION PLEASE HELP
Find the area of each figure. Round your answer to 2 decimal places is required.

Answers

69.82 i think

Step-by-step explanation:

First the area of a rectangle is bh, so 5 times 12 is 60. Then you have a semicircle which is half a circle, so it would be pi(radius)squared divided by 2. The diameter is 5 because it's five on the other side and rectangles have opposite sides congruent. Radius is 2.5 after dividing diameter by 2. 2.5 pi r squared is like 19.634 blah blah blah. Divide that by two and add 60 to get 69.82.

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