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2 years ago

On a map, 1 in.represents 20 mi. Two cities are 3 1/2 in. apart on the map.How far apart are the actual cities

Mathematics

2 answers:

Juli2301 [7.4K]2 years ago

8 0

70 miles apart :)

hope I helped :) If you want work shown comment of this please :)

Lera25 [3.4K]2 years ago

5 0

70 miles apart I hope this helps you

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What number fills in the blank to complete the factorization of 3x + 24? (x + 8)

alex41 [277]

3x + 24 = (3)(x) + (3)(8)
You can see that there is multiplier 3 near x and 8. You can factor it and make
3x + 24 = 3(x + 8)
So, the answer is 3. Hope this helps!

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2 years ago

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Triangle JKL has an area of in2 and a perimeter of in.

S_A_V [24]

Answer:

Area = 24 in²

Perimeter = 24in

Step-by-step explanation:

To find the area given the length of the 3 sides:

a= 8in

b= 6.4in + 3.6in= 10in

c= 6in

Add them together:

8in + 10in + 6in

= 24in²

To find the perimeter you do the same thing:

a= 8in

b= 10in

c= 6in

Add them together

=24in

DO NOT SQUARE THE ANSWER WHEN FINDING PERIMETER

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2 years ago

What is 2 + 2, minus 4?

Archy [21]

Answer:

Step-by-step explanation:

2 + 2 = 4 and then 4 - 4 = 0

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2 years ago

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A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula

Ilia_Sergeevich [38]

Answer: A. $A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}$

B. A'(5) = 1.76 cm/s

Step-by-step explanation: Rate of change measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

$A=\pi.r^{2}$

So to find the rate of the area:

$\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}$

$\frac{dA}{dr} =2.\pi.r$

Using $r(t)=3-\frac{363}{(t+11)^{2}}$

$\frac{dr}{dt}=\frac{726}{(t+11)^{3}}$

Then

$\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]$

$\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}$

Multipying and simplifying:

$\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$

The rate at which the area is increasing is given by expression $A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$ .

B. At t = 5, rate is:

$A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}$

$A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}$

$A'(5)=\frac{2408693760\pi}{4294967296}$

$A'(5)=1.76268$

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

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2 years ago

10. Use the formula for the

dimulka [17.4K]

9514 1404 393

Answer:

48 m³

Step-by-step explanation:

The correct formula for the volume of a pyramid is ...

V = 1/3Bh

For the given values, the volume is ...

V = 1/3(36 m²)(4 m) = 48 m³

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2 years ago