Use the equation n2 n = 56 to determine which figure has 56 blocks. figure has 56 blocks.

The Pythagorean Theorem is used to solve for the hypotenuse of a right triangle.

The formula for solving it is [tex]a^2 + b^2 = c^2[/tex], as a represents one side of the triangle, and b represents the other side. C is the hypotenuse as which we are trying to solve for.

If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a

Answer:

If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a.

The correct solving of the decimal shows that 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.

From the information given, it should be noted the students calculations are incorrect. Therefore, 3.675 ×10 = 3.6750, 3.675 × 100 = 3.67500 and 3.675 × 1,000 = 3.675000 are incorrect.

In this case, when multiply by raise to power 10, it's important to shift the decimal based on the number being raised to power.

Therefore, 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.

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This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6

Given the rational function expressed as:

f(x) = x+6/x^2-9x+18

To determine the point where the function is decreasing, we will equate the numerator to zero to solve for the value of x

x + 6 = 0
x = -6

This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6

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Answer:

$1.46

Step-by-step explanation:

We can use the principal of compound interest to solve this with the formula:

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

where P = initial principal

r = interest rate

n = number of times applied per time period

t = time periods elapsed

In this specific case, P = 0.55, r = 0.05, n = 1, and t =20

[tex]0.55(1+\frac{0.05}{1})^{1*20} = 0.55(1.05)^{20} = 0.55(2.65) = 1.46[/tex]

Answer:

14visists

Step-by-step explanation:

206 points= 45points + 11.5points(number of visits)

let number of visits=x

206points-45points=11.5x

161=11.5x

x=161/11.5

x=14 visits

Answer:

Step-by-step explanation:

To find the value of variable, you have to isolate the term of b from one side of the equation.

First, you subtract by 1.5 from both sides.

→ b+1.5-1.5=6-1.5

Solve.

Subtract the numbers from left to right.

⇒ 6-1.5=4.5

⇒ b=4.5

I hope this helps you! Let me know if my answer is wrong or not.

The circle illustrates the theorems of angles in the same segment

Given that:

∠SKA = 74°

The angle SKA is at the center of the circle.

This means that:

Arc AS = 74°

Calculate Arc SN using:

SN + AS = 180°

Substitute 74 for AS

SN + 74° = 180°

Subtract 74 from both sides

SN = 106°

The arc SN is subtended by the angle NTS.

This means that:

∠NTS = 0.5 * SN

So, we have:

∠NTS = 0.5 * 106°

Evaluate

∠NTS = 53°

Hence, the measure of angle NTS is 53°

Given that:

∠BCA = (7w - 4)°

∠ADB = (5w + 20)°

Angles subtended by the same arc at the circumference are congruent.

So, we have:

7w - 4 = 5w + 20

Collect like terms

7w - 5w = 20 + 4

Evaluate

2w = 24

Divide by 2

w = 12

This implies that:

∠BCA = (7 * 12 - 4)°

Evaluate

∠BCA = 80°

The measure of arc AB is then calculated using:

AB = 360 - 2 * ∠BCA

This gives

AB = 360 - 2 * 80°

Evaluate

AB = 200°

Hence, the measure of arc AB is 200°

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Answer:

Step-by-step explanation:

x is the opposite side of angle 30°

34 is the adjacent side of 30°

So, find the value of x, we have use tan

[tex]\bf \boxed{ tan \ \theta = \dfrac{opposite \ side}{adjacent \ side}}}[/tex]

[tex]tan \ 30^\circ = \dfrac{x}{24} \\\\\\0.58 = \dfrac{x}{24}\\\\\\0.58*24=x[/tex]

x = 13.92

Answer:

x = 18.5 (large) , y = 6.25 (small)

Step-by-step explanation:

Let's start by assigning variables to each type of box.

The large box we will call "x"

The small box we will call "y"

We know that 8x + 4y = 173 (kilograms)

And 3x + 2y = 68 (kilograms)

Since we set up a system of equations, we can now use elimination, by multiplying the entire bottom equation by -2, to get rid of the "y" variable.

8x + 4y = 173

3x(-2) + 2y(-2) = 68(-2)

-6x + -4y = -136  (side note: notice how the "y"'s would cancel each other out because -4y + 4y equals 0)

Add equations together:

2x = 37

x= 18.5

Now that we have x, just substitute it into any of the equations to get y.

You will see that y = 6.25

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The total liabilities is $180,338

The total assets is  $1,233,000

The net worth is $1,052,662

Net worth is total assets less liabilities. Assets is the sum of liquid assets and non liquid assets. Liabilities is the sum of car loan and mortgage loan.

Assets = 178,000 + 1,055,000 = $1,233,000

Liabilities = 145,908 + 34,430 = $180,338

Net worth =  $1,233,000 - $180,338 = $1,052,662

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The degree of freedom is 9 and expected amount for the number of pepperoni for Red Baron is 12.867.

The degree of freedom will be calculated thus:

= (Number of rows - 1) × (Number of columns - 1)

= (4 - 1)(4 - 1)

= 3 × 3 = 9

The expected amount for the number of pepperoni for Red Baron will be:

= (55 × 51) / 218

= 12.867

Also, the p value is 0.6023 and this indicates that there is no sufficient evidence that there is a difference in the proportion of toppings for the different brands of pizza since p value is greater than 0.05.

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Answer:

The area is 154 square feet

Step-by-step explanation:

103-7 = 96 then 96/2 = 48 so we can say that Sydney is 48 and devaughn is 48+7 = 55 years old.

Therefore, Sydney is 48 years of age.

The question refers to the speed of sound waves. The expression that shows the waves from the fastest to the slowest is option A. See attached for full question

A sound wave is the rhythm of disruption induced by the flow of energy as it propagates away from the source of the sound across a medium.

Option A - is the correct answer because the temperature of a medium ( which may be air, water, or solid matter) affects the speed at which waves of sound travel through it.

The faster sound waves flow through a medium, the higher its temperature. This is why Wave X will pass through the fastest at 33°C, followed by Wave W at 15°C, etc.

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Answer:

C. Wave X --> Wave W --> Wave Y --> Wave Z

Answer:

-8, -2, 4, 10

Step-by-step explanation:

Plug the x value into the function.

2(-6)+4 = -8

and so on for all of the values in the table.

Answer:

y = 2(-6) + 4

y = -12 + 4

y = -8

y = 2(-3) + 4

y = -9 + 4

y = -5

y = 2(0) + 4

y = 0 + 4

y = 4

y = 2(3) + 4

y = 6 + 4

y = 10

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Answer:

of Example 6

5 and 14

Step-by-step explanation:

IN EXAMPLE 6

Opposite angles are equal so you equate the first one like this

3x + 20 = 10x - 15

15 + 20 = 7x

35/7 = x

x = 5

In next question b

It is a straight line thus it's 180°

so 4n + 22 +8n -10 = 180

12n + 12 = 180

12n = 180 - 12

n =168÷ 12

n = 14

The value of x would be 1.

Answer

718.25 pi or 2,256.4489

Step-by-step explanation:

The volume formula for cylinders is V=pi * r^2 * h

So plug in your numbers!

r=6.5 h=17

pi times 6.5^2 times 17 = pi*718.25 or 2,256.4

Answer:

9 3/8 as a fraction or 9.375 as a decimal

Step-by-step explanation:

4/8 + 8 7/8 = 75/8= 9 3/8= 9.375

Answer:

12

Step-by-step explanation:

hope it helps

Answer:

Its 12

Step-by-step explanation:

Answer:

15 represents where Jerry is after the elevation dropped 25 meters and then rose 40 meters.

Step-by-step explanation:

It's given that Jerry hiked downhill to a valley where the elevation dropped 25 meters below his starting position. Then, he hiked up to a hill that was 40 meters higher than the valley

Hiked downhill = 25 meters

Hiked up = 40 meters

The given equation is

Here, hiked downhill represented by negative sign and hiked up resents by positive sign.

So, 15 represents that Jerry hiked up 15 meters from his starting position.

(2, the hill was 15 meters higher than the elevation of his starting point)

Answer:

2.

Step-by-step explanation:

The hill was -25 + 40 = 15 meters highe than starting point.

Answer:

60

Step-by-step explanation:

bceuase i got it right just multiply

[tex]~~~~k^2-2k-8=0\\\\\implies k^2 - 2k +1^2-1-8=0\\ \\\implies ( k-1)^2-9=0\\\\\implies (k-1)^2-3^2 =0\\\\\implies (k-1-3)(k-1+3)=0\\\\\implies (k-4)(k+2)=0\\\\\implies k=4,~~ k= -2[/tex]