How many roots of f(x) are rational numbers?<br> 1<br> 2<br> 4<br> 6

What is the average rate of change between hour 15 and hour 30

adell [148]

Answer:

5 hours

Step-by-step explanation:

there is no picture so i'm gonna just sya 5 because 5 + 15 is 30 .

5 0

3 years ago

Please help. A trapezoid has base measures of 10 and 14 inches and a height of 6 inches. What is the area?

yaroslaw [1]

Answer:

84 in^2

Step-by-step explanation:

Find the area by first finding the average of 10 and 14 (it is 12) and then multiplying this result (12) by 6: area of trapezoid = 84 in^2.

6 0

3 years ago

Claire Drew model of 5/10 explain how Claire could change her model to show how many hundreds are in 5/10 I know this is like my

natta225 [31]

Answer:

There are 0.005 hundreds in 5/10.

Step-by-step explanation:

Claire drew model of 5/10

We want to know how many hundreds are in 5/10.

Let us use an obvious example.

There are three 2's in 6 right?

Suppose we didn't know this, and we are told to find how many 2's are in 6, we get this by representing this in an algebraic expression as:

There are x 2's in 6. This can be written as

2x = 6

Solving for x, by dividing both sides by 2, we have the number of 2's that are in 6.

x = 6/2 = 3.

Now, to our work

We want to find how many hundreds are in 5/10. We solve the equation

100x = 5/10

x = 5/1000 = 0.005

There are 0.005 hundreds in 5/10.

7 0

2 years ago

Measure the lengths of the sides of ∆ABC in GeoGebra, and compute the sine and the cosine of ∠A and ∠B. Verify your calculations

marusya05 [52]

Answer:

$Sin \angle A =0.80$

$Cos \angle A=0.60$

$Sin \angle B =0.60$

$Cos \angle B=0.80$

Step-by-step explanation:

Given

I will answer this question using the attached triangle

Solving (a): Sine and Cosine A

In trigonometry:

$Sin \theta =\frac{Opposite}{Hypotenuse}$ and

$Cos \theta =\frac{Adjacent}{Hypotenuse}$

So:

$Sin \angle A =\frac{BC}{BA}$

Substitute values for BC and BA

$Sin \angle A =\frac{8cm}{10cm}$

$Sin \angle A =\frac{8}{10}$

$Sin \angle A =0.80$

$Cos \angle A=\frac{AC}{BA}$

Substitute values for AC and BA

$Cos \angle A=\frac{6cm}{10cm}$

$Cos \angle A=\frac{6}{10}$

$Cos \angle A=0.60$

Solving (b): Sine and Cosine B

In trigonometry:

$Sin \theta =\frac{Opposite}{Hypotenuse}$ and

$Cos \theta =\frac{Adjacent}{Hypotenuse}$

So:

$Sin \angle B =\frac{AC}{BA}$

Substitute values for AC and BA

$Sin \angle B =\frac{6cm}{10cm}$

$Sin \angle B =\frac{6}{10}$

$Sin \angle B =0.60$

$Cos \angle B=\frac{BC}{BA}$

Substitute values for BC and BA

$Cos \angle B=\frac{8cm}{10cm}$

$Cos \angle B=\frac{8}{10}$

$Cos \angle B=0.80$

Using a calculator:

$A = 53^{\circ}$

So:

$Sin(53^{\circ}) =0.7986$

$Sin(53^{\circ}) =0.80$ -- approximated

$Cos(53^{\circ}) = 0.6018$

$Cos(53^{\circ}) = 0.60$ -- approximated

$B = 37^{\circ}$

So:

$Sin(37^{\circ}) = 0.6018$

$Sin(37^{\circ}) = 0.60$ --- approximated

$Cos(37^{\circ}) = 0.7986$

$Cos(37^{\circ}) = 0.80$ --- approximated

8 0

3 years ago

Read 2 more answers

Which variable expression represents the word phrase? the sum of 12 and the quotient of 9 and a number

iris [78.8K]

"Sum" tells us it's an addition problem:

One term is 12 and the other is 9/x

SO

The expression is:
12+9/x

6 0

3 years ago

Read 2 more answers

How many roots of f(x) are rational numbers? 1 2 4 6