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3 years ago

15

You start driving north for 9 miles, turn right, and drive east for another 40 miles. At the end of driving, what is your straig

ht line distance from your starting point?

1 answer:

svp [43]3 years ago

6 0

Answer:

41

Step-by-step explanation:

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X) = 5x^3 -2x and g(x) =3x^3. Find f(x) + g(x) & state the domain!

expeople1 [14]

To add two functions, combine like terms. (5+3x^(3)) = 8x^3-2x. The domain is all real numbers. There is no bound on how small or large the numbers can be for cubed functions.

3 0

3 years ago

Three bags of chips and sodas cost $12.50. Four bags of chips and two sodas cost $10.00. What is the cost of each item? ASAP pls

Helen [10]

Step-by-step explanation:

3c + 3s = 12.50

4c + 2s = 10.00

3S = 12.50-3c

s = 4.17 - c

4c + 2 (4.17-c) = 10.00

2c + 8.34 = 10.00

2c = 1.66

chips = 0.83

soda = 3.34

7 0

3 years ago

A corporation reported profits of approximately $600 million with approximately $11 million in revenues. Compare the profit to

Alja [10]

Answer:

For every $55 revenue, $3 is profit

Step-by-step explanation:

A corporation reports profit of 600,000,000

Revenue of 11,000,000,000

Therefore comparing the revenue to profit can be calculated as follows

= 600,000,000/11,000,000,000

= 6/110

= 3/55

Hence for every $55 revenue $3 out of it is the profit

6 0

3 years ago

1/4 plus 4/5(3/4x - 1 1/9)

ANTONII [103]

Answer:

$\frac{3}{5}x+-\frac{131}{180}$

6 0

3 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