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3 years ago

Marty worked 19.5 hours last week. He earns $8.50 per hour. What were Marty’s earnings last week?

Mathematics

1 answer:

lilavasa [31]3 years ago

4 0

Answer:

Step-by-step explanation:

Marty's earnings = 8.50 x 19.5 = 165.75

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2 years ago

You are hiking and are trying to determine how far away the nearest cabin is, which happens to be due north from your current po

Margaret [11]

Answer:

336.7 yards away from the cabin....

Step-by-step explanation:

The angle 30.7° is also the angle of the upper interior angle of the triangle (near the cabin)

Use the tan function:

opposite = 200 yards

adjacent = x

tan(30.7°) = (opposite / adjacent)

tan(30.7°) = 200 yards/x

x * tan(30.7°) = 200 yards

x = 200 yards/ tan(30.7°)

x= 200/ 0.594

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3 years ago

Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

Area of the small triangle

$A=\frac{1}{2}(2)(4)=4\ units^2$

Area of the large triangle

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

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3 years ago

Find the values of a , b and c in the equation below

stellarik [79]

Answer:

x^12 y^2 z^11

a= 12

b= 2

c= 11

Step-by-step explanation:

On the numerator you distribute the exponent 3 to the other exponents.

I think you multiply the 3 so you would get: x^15 y^3 z^12.

so it looks like x^15 y^3 z^12 / x^3yz

Then you subtract the top exponents from the bottom exponent because when you are dividing you subtract exponents. the exponent for y and z in the denominator is 1

and thats how i got x^12 y^2 and z^11. The exponents are a b and c

I hope that is right

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