11. A large pine tree was struck by lightning and fell as
shown by the diagram below. Which equation
could be used to find the length of the fallen part of
the tree?
8 ft
13 ft —
A. 82 +132 - X
B. N82+132 -
C. 132 - 82 = X
D. V132 - 82 - *

Answer:

D. 37.68

Step-by-step explanation:

Circumference of a circle is 2 x pi x radius

your radius is 6 bc its half of your diameter is 12

when you multify them together, it gives you ab 37.68

Step-by-step explanation:

x²=-9-27

x²=-36

there's no x

Answer:

x = ± 6i

Step-by-step explanation:

Given

x² + 27 = - 9 ( subtract 27 from both sides )

x² = - 36 ( negative value indicates the solutions are complex )

Take the square root of both sides

x = ± [tex]\sqrt{-36}[/tex] = ± 6i

Answer:

(-6,3) is one of infinitely many answers.

Step-by-step explanation:

The radius of the circle is 4, so any point that is 4 units away from the point (-2,3) would be considered a correct answer.

Answer:

17+4x <_ 50

Step-by-step explanation:

To solve the highest price Eric would pay for chips you would want to guess and check to get $8 is the most you can pay for each bag of chips

Answer:

40.96

Step-by-step explanation:

x/10.24=4

times 10.24 on both sides

10.24 times 4

x=40.96

Answer:

Step-by-step explanation:

A proportion is solved by cross multiplying.

3x = 21

x = 7

Now, let's check it

3(7) = 21 x 1

21 = 21 ✅

Answer:

x=7

Step-by-step explanation:

CROSS MULTIPLY

x/21=1/3

3*x=3x

21*1=21

3x=21

x=7

Answer:

the first one is 1/2 of an answer is zero answer. and the second one is x = a number and y = a number

Step-by-step explanation:

i hope this helps

Answer:

The diameter is 5ft

Step-by-step explanation:

Given

[tex]Height : Diameter = 21\ in: 17.5\ in[/tex]

Required

Determine the diameter when the height is 6ft

Recall that the scale is a ratio of height to diameter;

So 6ft height can be represented on the following scale model;

[tex]Height : Diameter = 6ft : x[/tex]

Convert to fraction

[tex]\frac{Height}{Diameter} = \frac{6}{x}[/tex] ---- (1)

Recall that:

[tex]Height : Diameter = 21\ in: 17.5\ in[/tex]

Convert to fraction

[tex]\frac{Height}{Diameter} = \frac{21 }{17.5}[/tex] ---- (2)

Equate (1) & (2)

[tex]\frac{6}{x}= \frac{21 }{17.5}[/tex]

Cross Multiply

[tex]21 * x = 6 * 17.5[/tex]

[tex]21x = 105[/tex]

[tex]x = 105/21[/tex]

[tex]x = 5[/tex]

Hence, the diameter is 5ft

Answer:

Heyy there sorry but your question does not have an image. I think something is missing.

Step-by-step explanation:

Answer:

Circumference of S = T/4

I didn't quite catch your question though, could you elaborate a bit more?

Answer:

i willl maybe help but

Step-by-step explanation:

Describe the process as civilizations in Africa changed from Hunter and Gatherer communities to civilizations.

Answer:

96/6= 16

hope this helped hope u have an amazing day goodbye

Answer: 1 inch

Step-by-step explanation: when you round to the tenth place, you look at the number to the right of the decimal. Because it is .95, you round up. If it was .94 or under, you would round down. .95 rounded up would make 10 in the tenths place, so we add our decimal to get 1.0, or 1 inch

Answer:

444444444444444

Step-by-step explanation:

Answer:

Values: x =54, y= 126, z = 35

Answer:

Total area of board = 36x² + 324 + 216x

Step-by-step explanation:

Given:

Side of square = x + 3

Total number of square = 6 x 6 = 36

Area of each square = Side x Side

Area of each square = (x + 3)²

Area of each square = x² + 9 + 6x

Total area of board = 36[Area of each square]

Total area of board = 36[x² + 9 + 6x]

Total area of board = 36x² + 324 + 216x

Answer:

The answer is 1,328

Step-by-step explanation:

The number of ounces that she weighs will be 1328 ounces. Then the correct option is D.

Conversion means converting the same thing into different units.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

If a child weighs 83 pounds. We know that in one pound, there are 16 ounces.

Then the number of ounces that she weighs will be

⇒ 83 x 16

⇒ 1328 ounces

Then the number of ounces that she weighs will be 1328 ounces. Then the correct option is D.

More about the conversion link is given below.

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Answer:

Claim : men weigh of wild jackalopes is 69.9

The null hypothesis : H0 : μ = 69.9

Alternative hypothesis : H1 : μ ≠ 69.9

Test statistic = −2.447085

P value = 0.0174

Conclusion :

Fail to Reject the Null hypothesis

Step-by-step explanation:

From the question given :

The claim is that : mean weight of wild jackalopes is still the same as 10 years with a mean weight of 69.9 lbs.

The null hypothesis : H0 : μ = 69.9

Alternative hypothesis : H1 : μ ≠ 69.9

Using calculator :

Sample mean (x) = 66

Sample standard deviation (s) = 12.345

The test statistic t :

(x - μ) / (s/√n)

n = sample size = 60

(66 - 69.9) / (12.345 / √60)

t = −2.447085

P value at α 0.01, df = 59 is 0.0174

Since the p value is > 0.01, the result is not significant at 0.01. Therefore, we fail to reject the Null

Answer: 8 gallons

Step-by-step explanation:

Hey kk

Answer:

Slope = -2

Step-by-step explanation:

(x₁, y₁) = (1 , 5) and (x₂ , y₂) = (3 , 1)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{1- 5}{3 - 1}\\\\=\frac{-4}{2}\\\\= - 2[/tex]

Answer:

Step 1: Simplify both sides of the equation.

−7f=12

Step 2: Divide both sides by -7.

−7f

−7

=

12

−7

f=

−12

7

Step-by-step explanation

sorry for the answer like this i couldnt find the fractions but the answer is f=-12/7 sorry :(

Answer:

we can see how many points it actually it is

Answer:

ahhh

Step-by-step explanation:

Answer:

The Pythagorean theorem is widely used in everyday life. one of them in the carpentry sector. the craftsman ensures that the corners of the building foundation really right angled by using a triangle with a combination of side sizes 60 cm, 80 cm, and 100 cm.

Step-by-step explanation:

How to do the Pythagorean Theorem

KNOW: the height of the triangle is 5 cm and the slope of the triangle is 13

searching for: base of triangle , X

Answer:

X² = a² - b²

X² = 13² - 5²

X² = 169 - 25

X = 144

X. =√144

X =12

that's how to find the result of the Pythagorean Theorem

I hope this helps

Answer:

Slope of 2

Step-by-step explanation:

First thing is to look at the change in x and y from the points. You can do this by subtracting the x valie from the other value and the same for the y values. So you would do 2-0=2.

So we know the change in x between the points, so now we find the change in y. 5-1=4.

Now that we know the change in x and y, we use the expression below to solve for the slope.

[tex] \frac{rise}{run} \: or \: \frac{y}{x} [/tex]

We can insert what we found and then solve for the equation

[tex] \frac{4}{2} [/tex]

So we solve for that, which is 2. Now we know the slope is 2.

Answer:

given us,

(x1y1)= (2,5)

(x2y2)= (0,1)

here,

(y-y1)= (y2-y1)/ (x2-x1)× (x-x1)

or, (y-5)=(1-5)/(0-2)× (x-2)

or, y-5= -4/-2 ×(x-2)

or,y-5= 2(x-2)

or, y-5/ x-2= 2

or,y-5= 2x-4

or, 2x-y= -4+5

:. 2x-y= 1

Step-by-step explanation:

2x-y= 1

Answer:

1/4^2 (The first one)

Step-by-step explanation:

Answer: ok

Step-by-step explanation:

Ok

Answer:

The time it will take Natalie to pick the forty bushels alone is 10 hours

Step-by-step explanation:

The time it takes Kali to pick forty bushels of apples alone = 15 hours

The time it takes Kali and Natalie to pick forty bushels = 6 hours

The rate at which Kali picks bushels = 40/15 bushels per hour  = 8/3 bushels per hour  

Let x represents the rate at which Natalie picks bushels, we have;

8/3 × 6 + x × 6 = 40

x × 6 = 40 - 8/3 × 6 = 24

x = 24/6 = 4

Therefore;

The rate at which Natalie picks the bushels of apples = 4 bushels/hour

The time it will take Natalie to pick the forty bushels alone = (40 bushels)/(4 bushels/hour) = 10 hours.

Answer:

b)15.75 and 2.9432

Step-by-step explanation:

The computation of the mean and the standard deviation is shown below:

The mean of a binomial distribution is:

[tex]\mu[/tex] = np

And the standard deviation is

[tex]\sigma[/tex] =  √(npq)

where,

n = 35,

p = 0.45,

and q = 1 - 045 =  0.55

Now mean is

= 35 × 0.45

= 15.75

And, the standard deviation is  

= √(35 × 0.45 × 0.55)

= 2.9432

Hence, the correct option is B.

Answer:

Calculate Percentage Decrease:

First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100.

Step-by-step explanation:

The percentage change is equivalent to a 8% decrease followed by a 15% decrease is 78.2%.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

We have to find percentage change is equivalent to a 8% decrease followed by a 15% decrease.

So, (1- 8%)(1- 15%)

= (1- 8/100)(1-15/100)

= (1-0.8)(1-0.15)

= 0.92 x 0.85

= 0.782

Now, converting to percentage

= 0.782 x 100/100

= 78.2 /100

= 78.2%

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