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blsea [12.9K]
3 years ago
9

the width of the rectangle is 5 inches less than it's length, and the area is 84 square inches. what are the length and width of

the rectangle?
Mathematics
1 answer:
inysia [295]3 years ago
7 0
W= l - 5    where w = width and l = length

area = 84 = l*w = l(l-5)

l(l-5) = 84
l^2 - 5l - 84 = 0
(l - 12)(l  + 7) = 0 
l = 12 

length = 12 and width =  7 

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The table shows the cost of renting ski equipment at a ski lodge. Write a linear function f for the sequence. Then graph the fun
Bingel [31]

Answer:

<u>y=5x+7</u>

<u>or</u>

<u>f(x)=5x+7</u>

Step-by-step explanation:

Slope (m) = 5

Y-intercept (b) = 7

Using the equation y=mx+b, you can find m and b to make y=5x+7.

Steps:

(1, 12) (2, 17)                          formula: y2-y1 / x2-x1 = m

17-12= 5

 2-1 = 1

5/1=5

m=5

12=5(1)+b

12=5+b

7=b

17=5(2)+b

17=10+b

7=b

<u>Answer: y=5x+7</u>

<u>or</u>

<u>f(x)=5x+7</u>

6 0
3 years ago
Consider the sequence of steps to solve the equation:
pav-90 [236]

Answer:

Division Property of Equality

Step-by-step explanation:

→In Step 4, it is shown that the equation is:

3x = 30

→However, to solve for x, you must get it by itself. This means you need to get rid of the 3 that's being multiplied. So since the 3 is being multiplied to x, you must do the opposite of multiplication, which is division.

→As you can see, the total of 30 is decreased in Step 5, since it has been divided by 3, giving you a total of 10.

This shows that the property of equality that yields Step 5 is the <u>Division Property of Equality.</u>

4 0
3 years ago
Help please ASAP please I’ll mark you as brainlister
storchak [24]

Answer:

a = 4

Step-by-step explanation:

\sin(theta)  =  \frac{opposite}{hypotenuse}

\cos(theta)  =  \frac{adjacent}{hypotenuse}

\tan(theta)  =  \frac{opposite}{adjacent}

hypotenuse = a

opposite = 2√3

adjacent = b

theta = 60°

the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a

\sin(60)  =  \frac{2 \sqrt{3} }{a}

\frac{2 \sqrt{3} }{ \sin(60) }  = a

4 = a

a = 4

4 0
3 years ago
Please help me I’m so lost
kogti [31]

Answer:

331.4

Step-by-step explanation:

Side length (a)

8.284

yd

Perimeter

66.27

yd

Area

331.4

yd²

Longest diagonal (l)

21.65

yd

Medium diagonal (m)

20

yd

Shortest diagonal (s)

15.307

yd

Circumcircle radius (R)

10.824

yd

Incircle radius (r)

10

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8 0
4 years ago
Read 2 more answers
If 30 gallons of water weighs 249 pounds, what is the weight of 7 gallons of water in pounds?
gizmo_the_mogwai [7]

Answer: 58.1 pounds

Step-by-step explanation:

Use proportion to solve peroblem.

30:249=7:x

30x=249*7

x=249*7/30

x=58.1 pounds

6 0
3 years ago
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