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2 years ago

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A rectangular picture frame has a length of 20 inches and a width of 15 inches. The perimeter of the frame can be found using th

e formula 2l+2w, where l is the length and w is the width. What is the perimeter of the picture frame in inches

1 answer:

Maslowich2 years ago

7 0

Answer:

70

Step-by-step explanation:

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(Right angle) Trigonometry <br> please help!

kozerog [31]

Answer:

A = 41.4°

Step-by-step explanation:

Reference angle = A

Length of Adjacent side = 6

Length of Hypotenuse = 8

Apply the trigonometric function, CAH.

Cos A = Adj/Hyp

Substitute

$Cos(A) = \frac{6}{8}$

$A = Cos^{-1}(\frac{6}{8})$

A = 41.4° (approximated to the nearest tenth)

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3 years ago

Help plz solve these equations by completing the square <br><br>x square + 12x =1

Hitman42 [59]

Answer:

x = - 6 ± $\sqrt{37}$

Step-by-step explanation:

Given

x² + 12x = 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(6)x + 36 = 1 + 36

(x + 6)² = 37 ( take the square root of both sides )

x + 6 = ± $\sqrt{37}$ ( subtract 6 from both sides )

x = - 6 ± $\sqrt{37}$ ← exact solutions

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2 years ago

a circular oil slick is expanding at a rate of 2m^2/h. Find the rate at which it's diameter is expanding when it's radius is 1.5

aleksandrvk [35]

Answer: $\frac{4\pi}{3} \text{ meter per hour}$

Step-by-step explanation:

The circular oil slick is expanding at a rate of $2 m^2/h$

Let A be the area of the circular oil slick,

So, the changes in A with respect to time (t),

$\frac{dA}{dt} = 2$

$\frac{d(\pi r^2)}{dt} = 2$

$2\pi r\frac{dr}{dt} = 2$

$\frac{dr}{dt} = \frac{1}{\pi r}$

Also, the change in diameter with respect to time(t),

$\frac{d}{dt} (2 r) = 2 \frac{dr}{dt}$

$\frac{d}{dt} (2 r) = 2 \times \frac{1}{\pi r}$

$\frac{d}{dt} (2 r) = \frac{2}{\pi r}$

For r = 1.5 m,

$\frac{d}{dt} ( 2 r)]_{r=1.5} = \frac{2}{\pi \times 1.5}=\frac{20}{\pi \times 15}=\frac{4\pi }{3}\text{ meter per hour}$

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2 years ago

Rename 3/4 and 2/5 using 20 as the comm;on denominator

mash [69]

Answer:

3/4→15/20 and 2/5→8/20

Step-by-step explanation:

4*5=20, do what you do to denominator to numerator, so 3*5=15. 15/20. Same for 2/5.

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3 years ago

Write the sentence as an equation.<br> a is 377 subtracted from the quantity 327 times u

Usimov [2.4K]

Y=377a-327
if it algebra then it’s going to be a formula of y=x+b

6 0

3 years ago