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4 years ago

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1 answer:

Nat2105 [25]4 years ago

6 0

Since you know:

c = 30 substitute/plug it into the equation

$f=(\frac{9}{5} )c+32$ Plug in 30 for "c" in the equation

$f=(\frac{9}{5} )(30)+32$

$f=(\frac{270}{5} )+32$

f = 54 + 32

f = 86 (86°F if you need to add units)

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How to write 7.5 as a fRACTION

alexdok [17]

Its 7 n 1/2 u simplify 5/10= 1/2 so its 7 n 1/2

6 0

3 years ago

The radius of a sphere decreases at a rate of 6 m/sec. find the rate at which the surface area decreases when the radius is 20 m

DanielleElmas [232]

The radius of the sphere decreases at the rate of 6 m/ sec

That is, $\frac{dr}{dt}=-6$

Surface Area of the sphere of radius r is given by $S=4\pi r^2$

Differentiating with respect to t,

$\frac{dS}{dt}=4\pi (2r)\frac{dr}{dt}=8\pi r\frac{dr}{dt}$

$\frac{dS}{dt}=8\pi (20)^2(-6)=-960\pi \: m^2/sec$

8 0

4 years ago

Jasmine buys the magic carpet on sale for $374. She saved $66 off the regular price. What percent was the price discounted?

Furkat [3]

Answer:

15%

Step-by-step explanation:

Let c represent the regular price of the carpet.

Then:

sale price = regular price less discount

$374 = c - $66

Adding $66 to both sides isolates (solves for) c:

$374 + $66 = c = $440. This is the regular price.

$66

---------- = 0.15 This is the fraction of the regular price by

$440 which the regular price is reduced.

Then the percentage of this discount was 0.15(100%) = 15%

8 0

3 years ago

The total cost of a jacket and a pair of shoes was $52.95. If the price of the jacket was $3.87 less than the pair of shoes, wha

abruzzese [7]

The price of jacket was $24.54

Step-by-step explanation:

Let,

Cost of jacket = x

Cost of pair of shoes = y

According to given statement;

x+y=52.95 Eqn 1

x = y-3.87 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(y-3.87)+y=52.95\\y-3.87+y=52.95\\2y=52.95+3.87\\2y=56.82\\$

Dividing both sides by 2

$\frac{2y}{2}=\frac{56.82}{2}\\y=28.41$

Putting y=28.41 in Eqn 2,

$x=28.41-3.87\\x=24.54$

The price of jacket was $24.54

Keywords: linear equation, division

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Please help me with this question

Trava [24]

Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.

<h3>What is the Area of a Sector?</h3>

Area of a sector of a circle = ∅/360 × πr²

<h3>What is the Length of an Arc?</h3>

Length of arc = ∅/360 × 2πr

Given the following:

Radius (r) = 9 cm
Length of arc = 6π cm
Area of sector = kπ cm²

Find ∅ of the sector using the formula for length of acr:

∅/360 × 2πr = 6π

Plug in the value of r

∅/360 × 2π(9) = 6π

∅/360 × 18π = 6π

Divide both sides by 18π

∅/360 = 6π/18π

∅/360 = 1/3

Multiply both sides by 360

∅ = 1/3 × 360

∅ = 120°

Find the area of the sector:

Area = ∅/360 × πr² = 120/360 × π(9²)

Area = 1/3 × π81

Area = 27π

Therefore, the value of k is 27.

Learn more about area of sector on:

brainly.com/question/22972014

4 0

2 years ago