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3 years ago

9

How long would it take a car to travel 20 miles if its average speed is 60 mph?

1 answer:

icang [17]3 years ago

7 0

It would take 20 minutes to travel 20 miles at 60mph

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The terminal side of θ passes through the point (10, 6). What is the exact value of cos θ in simplified form?

seraphim [82]

Answer:

$\frac{5\sqrt{34}}{34}$

Step-by-step explanation:

The formula for cos θ is a/r. A is the first number (10) and b is the second number (6). R is the hypoteneuse which can be found through r = $\sqrt{a^{2} + b^{2} }$ .

In the equation you'd write that as r = $\sqrt{10^{2} + 6^{2}$ which can be simplified to $\sqrt{136$ .

You end up with $\frac{10}{\sqrt{136} }$ and you simplify this by doing $\frac{10 }{\sqrt{136} } * \frac{\sqrt{136} }{\sqrt{136} }$ , ending with the result of $\frac{5\sqrt{34}}{\sqrt{34} }$ .

(I also got this answer right on the test.)

5 0

3 years ago

Probability of getting heads when a two headed coin is tossed

Svetllana [295]

The rate of getting two heads is
(1/2)*(1/2) = 1/4 = 25%

3 0

3 years ago

4) A sales associate in a department store earns a commission on each suit and each pair of shoes sold. One week, she earned $47

NeX [460]

Answer a write a system of equation

8 0

3 years ago

Tori is throwing a pool party to kick off the summer. Her pool is empty, so she starts filling it with water from a garden hose.

Fittoniya [83]

Answer:

y/x

Step-by-step explanation:

Answer: y/x

water/time = unit rate = y/x

7 0

2 years ago

Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago