5) What is the measure of angle 2? *
7 points
18°
2
162
160
158
156

Answer:

5^3 = 125

Step-by-step explanation:

The caret(^) is a symbol used to indicate exponentiation. So, you simplify 5 raised to the 3rd power, which is 125.

Answer:

The correct option is B

Step-by-step explanation:

just did the test on Ed.

Answer:

Hence, the total amount of money that the investor would have after 6 years will be $ 536.04 .

Step-by-step explanation

Answer:

Interest = $3573.048

Step-by-step explanation:

Given: $3000 is invested for a period of 3 years at a rate of 6% compound monthly. What will the balance in the account be at the end of 3 years?

The formula to compound interest is:

I = P(1 + R)^T

First, put in the terms:

I = $3000(1 + 6%)^3

Then calculate:

I = $3000(1 + [tex]\frac{6}{100}[/tex])^3

I = $3000(1 + 0.06)^3

I = $3000(1.06)^3, 1.06^3 = 1.191016

I = $3000 x 1.191016

I = $3573.048

Answer:

Step-by-step explanation:

c

Answer:

15 units is the distance between the two points

Step-by-step explanation:

Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!

-Lil G

Answer:

24lbs

....................

Answer:

24 pounds

Step-by-step explanation:

Answer: 45% off a $73 jacket coupon

Step-by-step explanation:If you multiply 45% by 73 (.45 x 73) you get $32.85.. which means that is how much money would be reduced from the original price. If you have have a $30 rebate off a $73 jacket, you would be paying a higher price if you used the rebate instead of the coupon

Answer:

(x+36) (x-4)

Step-by-step explanation:

x²+32x-144=0

x²+36x-4x-144=0

x(x+36)-4(x+36)=0

(x+36) (x-4)

Answer:

La²+8La+16 = La²+70

Step-by-step explanation:

8La+16 = 70

8La=70-16

La=54/8

La= 6.75

Area b = (6.75+4)*(6.75+4)

Area b = 10.75*10.75

Area b =115.563

The area of a square is the square of its side lengths

The area of square B is 116 centimeter square

Let the side length of square A be (a), and the side length of square B be (b)

So, we have:

[tex]\mathbf{A_a = a^2}[/tex]

[tex]\mathbf{A_b = b^2}[/tex]

From the question, we have:

[tex]\mathbf{A_b = 70 + a^2}[/tex]

[tex]\mathbf{b = 4 + a}[/tex]

Take square of both sides

[tex]\mathbf{b^2 = (4 + a)^2}[/tex]

[tex]\mathbf{b^2 = 16 + 8a+ a^2}[/tex]

Substitute [tex]\mathbf{b^2 = 16 + 8a+ a^2}[/tex] in [tex]\mathbf{A_b = b^2}[/tex]

[tex]\mathbf{A_b = 16 + 8a+ a^2}[/tex]

So, we have:

[tex]\mathbf{16 + 8a+ a^2 = 70 + a^2}[/tex]

Subtract a^2 from both sides

[tex]\mathbf{16 + 8a = 70}\\[/tex]

Subtract 16 from both sides

[tex]\mathbf{8a = 54}[/tex]

Divide both sides by 8

[tex]\mathbf{a = 6.75}[/tex]

Recall that:

[tex]\mathbf{A_b = 70 + a^2}[/tex]

So, we have:

[tex]\mathbf{A_b = 70 + 6.75^2}[/tex]

[tex]\mathbf{A_b = 115.5625}[/tex]

Approximate

[tex]\mathbf{A_b = 116}[/tex]

Hence, the area of square B is 116 centimeter square

Read more about areas at:

https://brainly.com/question/1658516

Answer:

(x + 7)(x + 5)

Step-by-step explanation:

Given

x² + 12x + 35

Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (+ 12)

The factors are + 7 and + 5 , since

7 × 5 = + 35 and sum = 7 + 5 = + 12, then

x² + 12x + 35 = (x + 7)(x + 5) ← in factored form

Answer:

hows your day going? :)

Answer:

a) The value of [tex]y[/tex] is 6.

b) This line does not pass through the point of origin.

c) [tex]y = \frac{1}{2}\cdot x + 3[/tex] intersects with [tex]y = -x+32[/tex].

d) Both [tex]y = \frac{1}{2}\cdot x + 3[/tex] and [tex]y = -x+32[/tex] intersect in the first quadrant.

Step-by-step explanation:

a) By Analytical Geometry, we know that an equation of the line can be found by knowing the coordinates of two distinct points on the plane. The equation of the line is defined by this formula:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independient variable.

[tex]y[/tex] - Dependent variable.

[tex]m[/tex] - Slope.

[tex]b[/tex] - x-Intercept.

To determine the slope and x-intercept of the equation of the line, we have to solve the following system of linear equations:

[tex]m\cdot x_{1}+b = y_{1}[/tex] (2)

[tex]m\cdot x_{2}+b = y_{2}[/tex] (3)

If we know that [tex](x_{1}, y_{1} ) = (2,4)[/tex] and [tex](x_{2}, y_{2}) = (-2, 2)[/tex], then the solution of the system is:

[tex]m = \frac{1}{2}[/tex], [tex]b = 3[/tex]

Then, the equation of the line is [tex]y = \frac{1}{2}\cdot x + 3[/tex]. If we know that [tex]x = 6[/tex], then the value of [tex]y[/tex] is:

[tex]y = 6[/tex]

The value of [tex]y[/tex] is 6.

b) If this line passes through the point of origin, then the value of [tex]y[/tex] must be zero for [tex]x = 0[/tex]. If we know that  [tex]y = \frac{1}{2}\cdot x + 3[/tex] and [tex]x = 0[/tex], then the value of [tex]y[/tex] is:

[tex]y = 3[/tex]

The line does not pass through the point of origin since x-intercept is not zero.

c) A system of two linear equations always has an unique solution if and only if slopes and x-intercepts are different to each other. This condition is satisfied by [tex]y = -x+32[/tex], so we conclude that both lines intersect each other.

d) (Note: Question was incorrectly written. Correct form is: If your answer was yes in c, in which quadrant did they intersect?)

First, we solve the following system of linear equations:

[tex]\frac{1}{2}\cdot x -y = -3[/tex] (4)

[tex]-x-y = -32[/tex] (5)

The solution of this system is [tex](x,y) = (19.333, 12,667)[/tex], which means that both lines intersects each other in the first quadrant.

Answer:

Calculate the volume of a cylinder using the formula V = r2 × π × h. Begin by first finding the area of the circle at one end. Square the radius of the circle and multiply the result by "pi" (the symbol π), or approximately 3.14. Multiply this result by the cylinder's height to get its volume.

Step-by-step explanation:

the height is 4 and the radius is 2

Answer:

No it's not

Step-by-step explanation:

In a right triangle the longest side is always the Hypotnuse. With legs a and b and Hypotnuse c, all right triangle follow the Pythagoream Theorem (a^2+b^2=c^2)

If this is a right triangle then it should also follow this rule.

8^2=4^2+6^2

64=16+36

64≠52

So this isn't a right triangle

We can find the solution to the answer by using the Pythagorean Theorem.

a² + b² = c²

4² + 6² = 8²

16 + 36 = 52

8² = 64

52 ≠ 64.

Since 4² + 6² does not equal 8², a triangle with the sides 4, 6, and 8, are not a right triangle.

Answer:

the length of the shortest ladder is 11.41 feet

Step-by-step explanation:

The computation of the length of the shortest ladder is shown below:

AB^2 = AC^2 + BC^2

AB^2= (10)^2 + (5.5)^2

AB^2= 100 + 30.25

AB^2 = 130.25

AB = 11.41 feet

hence, the length of the shortest ladder is 11.41 feet

Answer:

A) = 0

Step-by-step explanation:

That slope is A), 0 because it is neither increasing or decreasing

Answer: 6

Step-by-step explanation:  [tex]log_{2} 64 = 6[/tex]

The answer would be 47.6% because there is a lot of numbers so the round to the nearest tenth

Answer:

Step-by-step explanation:

Option c

Answer: 5/12

Step-by-step explanation:

Six of the nine students are from Middle Georgia State College.

The probability that the first student that's interviewed is from Middle Georgia State College will be 6/9.

Now, when the second student is picked, there'll be 8 students left out of which 5 will be from Middle Georgia State College. Therefore, the probability of choosing someone from there is 5/8.

Now, the probability that both of the interviewed students are from Middle Georgia State College will be:

= 6/9 × 5/8

= 2/3 × 5/8

= 10 / 24

= 5/12

Answer:

4.07

Step-by-step explanation:

11 1/5 divided by 2 3/4

= 11 1/5 ÷ 2 3/4

= 56/5 ÷ 11/4

= 56/5 × 4/11

= (56*4) / (5*11)

= 224/55

= 4.07

The best estimate of 11 1/5 divided by 2 3/4 is 4.07

Answer:

24,000 cm³

Step-by-step explanation:

Answer:

V = 48000 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = area of end face × length

The end face is a trapezium with area (A) calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 20 , b₁ = 10 and b₂ = 30 , then

A = [tex]\frac{1}{2}[/tex] × 20 × (10 + 30) = 10 × 40 = 400 cm²

Thus

V = 400 × 120 = 48000 cm³

The length of side A in centimeters is 6cm

D. 6

Answer:

28.5

Step-by-step explanation:

Plzz mark brainlies thanks!!

Answer:

.7 is over 0 and under 1 so u have to make the mark just in between them right I front of the half way mark.

Answer:

(this won't really be good since the

number line would be longer if you are

modeling 7)

Step-by-step explanation:

7

<----------------------------|------------>

Answer:

4x - 2 = 6

add 2 on both sides

4x = 8

divide by 4

x = 2

Answer:

Like pretty high but also are the girls hot?

Step-by-step explanation: