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2 years ago

What is the circumference of a circle with area 50cm2. Give your answer to three significant figures.

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

7 0

Answer:

c = 25.1

Step-by-step explanation:

C = 2 $\sqrt{pi A}$

C = 2 $\sqrt{3.14 * 50 }$

C = 25.1

Mark me brainly plz

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A road perpendicular to a highway leads to a farmhouse located d miles away. An automobile traveling on this highway passes thro

pshichka [43]

Answer:

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

Step-by-step explanation:

A road is perpendicular to a highway leading to a farmhouse d miles away.

An automobile passes through the point of intersection with a constant speed $\frac{dx}{dt}$ = r mph

Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.

Then by Pythagoras theorem,

h² = d² + x²

By taking derivative on both the sides of the equation,

$(2h)\frac{dh}{dt}=(2x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=(x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=rx$

$\frac{dh}{dt}=\frac{rx}{h}$

When automobile is 30 miles past the intersection,

For x = 30

$\frac{dh}{dt}=\frac{30r}{h}$

Since $h=\sqrt{d^{2}+(30)^{2}}$

Therefore,

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+(30)^{2}}}$

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

3 0

3 years ago

One pound of grapes costs $1.55. Which equation correctly shows a pair of equivalent ratios that can be used to find the cost of

stira [4]

Answer:

StartFraction 1.55 over 1 EndFraction = StartFraction x over 3.5 EndFraction

Step-by-step explanation:

$\frac{1.55}{1} = \frac{x}{3.5} \\ \\ \therefore \: x = 1.55 \times 3.5 \\ \\ \therefore \: x = \$ 5.425 \\ \\\therefore \: x\approx \$5.43$

4 0

2 years ago

Read 2 more answers

Find the selling price for the item flash drive: $12 markup:35%

vesna_86 [32]

Answer:

16.2

Step-by-step explanation:

12*1.35=16.2

(can I get brainliest pls)

4 0

2 years ago

Find the value of each variable in each parallelogram.

svp [43]

Answer:

a=109° b=71°

Step-by-step explanation:

All the angles in a parallelogram add up to 360. There are a few rules:

The opposite angles are congruent.

Consecutive angles are congruent.

We can apply these rules here.

71 is opposite to b

and a is consecutive to 71 so we can put together these equations.

180=71+a

71=b

we can simplify to get the answers

the end

4 0

3 years ago

Can you explain to me (detailed) on how to do this problem? I will give you a brainly if you get this right.

7nadin3 [17]

Answer:

60 m^2

Step-by-step explanation:

To solve the area, solve the triangle and rectangle separately.

Solve the rectangle:

Multiply 10 and 4 to get the area of 40 m^2.

Solve the triangle:

Multiply 10 and 4, then divide by 2. The formula for a triangle's area is base*height/2. The area is 20.

Add together:

40+20 = 60 m^2

6 0

3 years ago