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3 years ago

Describe how to multiply a number by a power of 10

1 answer:

6 0

When multiplying a number by the power of 10, you are multiplying that number by itself 10 times. EX: 5^10 = 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5

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What is the cosine of angle F A. 4/5 B. 3/4 C. 5/4 D. 3/5

saveliy_v [14]

Answer: option D

Step-by-step explanation:

Remember the cosine identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:

$adjacent=15\\hypotenuse=25$

Now you can substitute values into $cos\alpha=\frac{adjacent}{hypotenuse}$ and then reduce the fraction.

THerefore you get: $cos(F)=\frac{15}{25}\\\\cos(F)=\frac{3}{5}$

6 0

2 years ago

Read 2 more answers

Help this is due in a few minutes

Genrish500 [490]

Answer:

Either b or e

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Can you use the SAS postulate, the AAS theorem, or bothto prove the triangles are congruent

NikAS [45]

Yes, most definitely
I hope that this helps!

3 0

3 years ago

Let f(x)=3x+2 and g(x)=5x-8 find all value of x for which f(x) > g(x)

kirill115 [55]

Answer:

$x < 5$

Step-by-step explanation:

$f(x) > g(x) \\ < = > 3x + 2 > 5x + 2 \\ < = > - 2x > - 10 \\ < = > x < 5 \:( qed)$

4 0

3 years ago

13. For what value of b would the following system of equations have an infinite number of solutions?

tiny-mole [99]

Answer:

b=2

Step-by-step explanation:

we have

9x+12y=21 -----> equation A

6x+8y=7b ----> equation B

we know that

If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B

Multiply equation B by 1.5 both sides

1.5*[6x+8y[=7b*1.5

9x+12y=10.5b ----> equation C

Compare equation A and equation C

9x+12y=21 -----> equation A

9x+12y=10.5b ----> equation C

For the equations to be equal it must be fulfilled that

21=10.5b

solve for b

b=21/10.5

b=2

5 0

3 years ago