1) 1. What is the vertex of the graph of the function f(x) = x2

Given \tan A = \frac{7}{{24}}, find the cos B

Natali5045456 [20]

We are given

$tan(A)=\frac{7}{24}$

we know that

$tan(A)=\frac{opposite}{adjacent}$

so, we get

opposite =7

adjacent=24

now, we can find hypotenuse

$hypotenuse=\sqrt{7^2+24^2}$

$hypotenuse=25$

now, we can draw triangle and then switch vertices accordingly

we can find cos(B) using second triangle

$cos(B)=\frac{adjacent}{hypotenuse}$

In second triangle:

adjacent=7

hypotenuse =25

so, we get

$cos(B)=\frac{7}{25}$ ................Answer

8 0

3 years ago

Which of the following terms can be combined in this expression? -13 - x/5 + 6.2y + 20.5x - 3/8y

dsp73

C. 6.2g can be combined with -3/8y. This is because they both end in ‘y’.

3 0

3 years ago

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how many pounds of coffee worth $10 a pound should be added to 20 pounds of coffee worth $4 a pound to get a mixture worth $5 a

Solnce55 [7]

Answer:

4

Step-by-step explanation:

1. if the mass of coffee worth $10 is 'x', then its worth is 10x, and the worth of the mixture is 5(x+20);

2. using the previous item it is possible to write the next equation:

5(x+20)=4*20+10*x; ⇒ x=4.

3. the required mass is 4 pounds.

5 0

3 years ago

The maybe pay life insurance co. is trying to sell you an investment policy that will pay you and your heirs $39,000 per year fo

Lorico [155]

This cash flow is a perpetuity. To find the present value of perpetuity, we use the equation of
Pv=C÷r
Pv=39,000÷0.058
Pv=672,413.79

5 0

3 years ago

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A dolphin in an aquarium is 12 feet long. A scale model of the dolphin is 3 1/2 inches long. What is the scale factor of the mod

Vlada [557]

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4 0

3 years ago

1) 1. What is the vertex of the graph of the function f(x) = x2 – 8x + 5?