A rectangle is drawn so the width is 5 inches longer than
the height. If the rectangle's diagonal measurement is 36
inches, find the height.
Give your answer rounded to 1 decimal place.
inches

Answers

Answer 1

Answer:

[tex]length = l\\width = 5 + l\\Diagonal = 36\\diagonal^2 = (5+l)^2 + l^2\\36^2 = 25 + l^2 +10l + l^2\\1296 = 2l^2 +10l +25 \\2l^2 +10l=1271\\\\l_1=\frac{-10+2\sqrt{2567}}{2\cdot \:2},\:l_2=\frac{-10-2\sqrt{2567}}{2\cdot \:2}[/tex]

[tex]l_1=\frac{-5+\sqrt{2567}}{2},\:l_2=\frac{-5-\sqrt{2567}}{2}[/tex]

clearly,

      [tex]l_{2} \ is \ a \ negative\ number[/tex]

So we consider

[tex]l_{1} =\frac{-5+\sqrt{2567}}{2} = 22.83[/tex]

Therefore height = 22.8inches


Related Questions

The two bases of a trapezoid measure 14 inches and 10 inches respectively. The trapezoid's height is 8 inches. What is the area of the trapezoid?

Answers

Answer:

A.O.T=1/2×height(sum of bases)

Step-by-step explanation:

A.O.T=1/2×8(14+10)

=4(24)

= 96

Answer:

96

Step-by-step explanation:

The front of a house needs to be painted black. The garage door is 1.5 m high and 2 m wide.
A) How many square meters of black paint will be needed to paint the house not including the
garage door?
Show your work
o
E
a

Answers

Answer: E

Step-by-step explanation:. Exterior paint averages $25-$40 a gallon, and a 3000-square-foot home takes 15 ... premium paint can cost $50-$100 a gallon, or $750-$1500 for that large home. ... 1300 square foot house + single car garage. ... Paint siding, trim, eaves, and doors 2 coats, with high quality paint.

(c) Solve 6w + 2 = 20

Answers

Answer:

The answer is w=3

Step-by-step explanation:

6w+2=20

6w=18

w=3

Answer:

W = 3

Step-by-step explanation:

6W + 2 = 20

6W + 2-2 = 20-2

6W = 18

6W/6 = 18/6

w = 3

Select the solutions to the equation
x2 - x + 1 = 7

Answers

Answer:

What are the options?

Step-by-step explanation:

the x=6. For example, 6 x 2 - 6 + 1 = 7

what else would you need to measure the area of something

Answers

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Given that 4x – 5y = 21
Find x when y = -4
Give your answer as a fraction in its
simplest form.​

Answers

those who confess with their mouth Jesus is Lord and truly believe in their heart God rose him from the dead shall be saved turn away from ur sins ! sorry i couldn’t help

Which statement is always true about abc?​

Answers

Abc goes on and on. It goes A, B, C, D, H, and more.

The cup dispenser at a water cooler contains cone-shaped paper cups with the
dimensions shown.
6 cm
8 cm
Approximately how many cubic centimeters of water can each cup hold?

Answers

48 cubic centimeters

1/2(5-2x) = 1/2x - 8

Answers

Answer:

=

7

Step-by-step explanation:

Please help what does B equal and C equal :)

Answers

Answer:

m∠b=m∠c=61°

Step-by-step explanation:

The 119° angle and ∠b/∠c are supplementary angles. ∠b and ∠c are congruent because they are vertical angles and they are also both supplementary to the 119° angle. I will use b to find c.

[tex]b+119=180[/tex]

[tex]b=61[/tex]

Since b and c are equal, c=61 too.

What is the answer?
12 x 4 1/2 =?

Answers

Answer:

54

Step-by-step explanation:

What I would do is multiply 12x4 first to get 48, then after I'd multiply 12x1/2 to get 6 then I'd add them together to get 54.

7x+10=36

y=2x+9

x=

y=

Answers

Answer:

x=26/7

y=115/7

Step-by-step explanation:

7x+10=36>>subtract 10 from 10 and 36 you get 7x=26>>>divide both sides by 7>>>>x=26/7

To find find y you substitute the x for 26/7>>2(26/7)+9=115/7

Evaluate the following expression.
cos870° - sin780º =

Answers

Answer:

-sqrt(3)

Step-by-step explanation:

Solve each individually

Manny bought a $1,980 snow thrower on the installment plan. The installment agreement included a 20% down payment and 12 monthly payments of $161 each
what is the total amount of the monthly payments?

Answers

Step-by-step explanation:

u fyfucyfcr t xd tvycyfctc

4 yd 1 ft + 3 yd 2 ft

Answers

Answer:

24 feet

;bbbbbbbbbbbbbbb

Answer:

8 yards

Step-by-step explanation:

profit p(x) is the difference between revenue…

Answers

Answer:

x^4-3x^3+x^2-4

mrk me brainliest plz

Step-by-step explanation:

Given the following functions

R(x) = 2x^4 – 3x^3 + 2x – 1 and

C(x) = x^4 – x^2 + 2x + 3

We are to find the profit function P(x)

P(x) = R(x) - C(x)

P(x) = 2x^4 – 3x^3 + 2x – 1 - ( x^4 – x^2 + 2x + 3)

P(x) = 2x^4 – 3x^3 + 2x – 1 - x^4 + x^2 - 2x - 3

Collect the like terms

P(x) = 2x^4-x^4-3x^3+x^2+2x-2x-1-3

P(x) = x^4-3x^3+x^2+0-4

P(x) = x^4-3x^3+x^2-4

Hence the required profit function P(x) is x^4-3x^3+x^2-4

Answer:

i think its x^4-3x^3+x^2-4

Step-by-step explanation:

Can someone help me with this

Answers

Answer:

You picked the right answer- it's the top one. Only one that makes sense

Step-by-step explanation:

in line 5, the word vocation means​

Answers

Answer:

there's no picture, repost with a picture or more details

Answer:

a type of work or a way of life that you believe to be especially suitable for you

Please help me

What is the volume of the box

Answers

Answer: 4 1/2

Step-by-step explanation:

Amogus

Answer:

It’s the last one 1 1/8

Step-by-step explanation:
Volume is length x width x height
1/4 x 6 = 1.5
1/4 x 3 = 0.75
1/4 x 4 = 1
1.5 x 0.75 x 1 = 1.125
1.125 as a fraction is 9/8 but you have to simplify it so it’ll be 1 1/8


hope this helps!

Csn someone please help?

Answers

Answer:

A=-2 B=17

Step-by-step explanation:

En la tiendita de la escuela venden frapés de los siguientes sabores: fresa,
papaya, fresa y piña. El frapés puede seleccionarse de entre los siguientes
tamaños: grande, mediano o pequeño. Si desea que el frapés sea grande o
mediano, ¿cuántas opciones tienes para comprar frapés? *

Answers

Answer:

?

Step-by-step explanation:

Solve for x.
3x + 13,
H
6x +
x = [?]
Enter

Answers

Answer:

Step-by-step explanation:

you know some things about the two angles they are the complimentary parts of just one of those perpendicular lines.   so you can say

180 = (6x + 5) + (3x+13)

180 = 9x +18

162 = 9x

18 = x

Answer:

Solution given;

6x+5+3x+13=180(sum of exterior angle is 180°)

9x=180-18

x=162/9

x=18 is a required answer.

Find the slope of the line passing through the pair of points. (- 4, 5) and (0,2)

Answers

Answer:

It should be -3/4

Step-by-step explanation:

I checked with another app

Help please I'll give Brainlyest

Answers

Answer:

B.) 3x=15

Step-by-step explanation:

This is because you multiply 3 by x and if x=5 then it would be 3x5 thus resulting in 15

1) Plug 5 into all the spots for x. See if it makes the equation true.

A. 2+5 = 3  Nope

B. 3(5) = 15 Yep

C. 5/2 = 10 Nuh-uh

D. 5-7 = 12  Nah

B is the answer :)

I'm not sure if you need the answer to #2 but I'll answer it anyway. :)

2) An equation has to have a solution. This means it has an equal sign. C is the only one that has an equal sign.

C is the answer :)


A parabola can be drawn given a focus of (1,3) and a directrix of x = -7. What
can be said about the parabola?
The parabola has a vertex at (
), has a p-value of
and it


PLEASE HELP

Answers

Answer:

Below.

Step-by-step explanation:

The parabola will open to the right and will be symmetrical about y = 3.

The vertex is halfway between x = 1 and x = -7 making it at (-3, 3).

The p value is the distance between the vertex and the focus - here it is 1 - -3

= 4.

Answer:

The parabola has a vertex at (-3, -6), has a p-value of 4 and it opens right.

Step-by-step explanation:

Billy makes $7 a week in allowance plus $6 for each lawn that he mows. This week Billy wants to make over $25. Select the inequality for the number of lawns he needs to mow.

Answers

Answer:

Billy would need to mow 4 laws to make over $25.

Can someone please help me

Answers

A. 6x^2 + 24
B. 6x^2 - 8
C. 6x^2
D. 6x^2 + 4
E. 6x^2 + 8c
F. 6x^2 + 8c + 40

There are 250 students in the 6th grade. 45% of the students eat lunch 4th period. How many students eat lunch 4th period?

Answers

Answer:

if you looking for estimate, it is about 138

without estimate, 137.5

Step-by-step explanation:

what is the distance of between (-5,8) and (12,8)
plz help

Answers

Answer:

17

Step-by-step explanation:

-5 is 17 points away from 12.

What is the value of y?

Answers

Answer and Step-by-step explanation:

We are given a triangle and are asked to solve for the value of y.

We know that the angles in a triangle add up to 180 degrees. So let's add all of the angles together and equal it to 180.

2y + y + 10 + 50 = 180

Combine like terms.

3y + 60 = 180

Now subtract each side by 60.

3y = 120

Finally, divide each side by 3.

y = 40

We get the value of y to be 40.

#teamtrees #PAW (Plant And Water)

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