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4 years ago

Hican you answer this and explain please

Mathematics

1 answer:

liubo4ka [24]4 years ago

8 0

Answer:

Step-by-step explanation:

Inequalities of the type | x | ≤ a, have solution of the form

- a ≤ x ≤ a , so

| x | ≤ 4

- 4 ≤ x ≤ 4

The values of x are between - 4 and + 4, but can equal - 4 and 4 since the symbol is ' less than or equal to '

This is indicated on a number line by solid circles, where not equal to are denoted by open circles.

Thus the solution is Graph B

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Find the measure of the angle between the vectors 〈6, –3, 1〉 and 〈8, 9, –11〉

Pepsi [2]

Answer:

Option C.

Step-by-step explanation:

We know that for two vectors:

A = 〈a₁, a₂, a₃ 〉and B =〈b₁, b₂, b₃〉.

The dot product between A and B is:

A.B = IAI*IBI*cos(θ)

Where θ is the angle between the vectors.

And the dot product can be also written as:

A.B = a₁*b₁ + a₂*b₂ + a₃*b₃

With that, we can find the angle between our vectors.

In this case, the vectors are:

A = 〈6, –3, 1〉 and B = 〈8, 9, –11〉

The modules are:

IAI = √( 6^2 + (-3)^2 + 1^2) = 6.78

IBI = √( 8^2 + 9^2 + (-11)^2) = 16.31

And the dot product between A and B is:

A.B = 6*8 + (-3)*9 + 1*(-11) = 10

Then we have that:

10 = IAI*IBI*cos(θ) = ( 6.78)*(16.31)*cos(θ)

10/(6.78*16.31) = cos(θ)

Now remember the inverse cosine function, Acos(x), this function has the property:

Acos(cos(x)) = x

If we apply this to both sides, we get:

Acos(10/(6.78*16.31)) = Acos(cos(θ)) = θ = 84.8°

The correct option is C.

7 0

3 years ago

3. Use the formula to evaluate the series 1 - 2 + 4 - 8+ ... - 10.

scZoUnD [109]

Answer:

it's going to be negative -1023 i think

8 0

3 years ago

A student solved this problem and said the answer is pounds. Gino has pounds of grapes. He has pounds of green grapes and the re

Marizza181 [45]

I think it is letter A

3 0

3 years ago

Read 2 more answers

Zeke ran 4 miles in 45 minutes. if he keeps up the same pace, how long will it take him to run 10 miles?

tresset_1 [31]

(45/4)*10 = 112.5 minutes

(minutes per mile)*#ofmiles

7 0

4 years ago

Read 2 more answers

Find the circumference given the area = 113.1 ft². Use 3.14 for π as necessary.

olga_2 [115]

The circumference of the circle is 37.68 ft

Step-by-step explanation:

Given,

The area of the circle is 113.1 sq ft

To find the circumference of the circle we need to find the radius of the circle first

Formula

The area of circle with radius r is = π $r^{2}$ sq unit

The circumference of circle with radius r is = 2πr unit

Let us take the radius of the circle is r ft

According to the problem,

π $r^{2} =113.1$

or, $r^{2} = \frac{113.1}{3.14}$

or, $r^{2} = 36.01 = 36 (approx)$

or, r = $\sqrt{36}$

or, r = 6

Now,

The circumference of the circle is 2×3.14×6 ft = 37.68 ft

5 0

3 years ago

Read 2 more answers

Hican you answer this and explain please ​

Hican you answer this and explain please