Serenity earned a grade of 39% on her multiple choice science final that had a total of
200 problems. How many problems on the final exam did Serenity answer correctly?

Answer:

For the entire United States, excluding Hawaii and Alaska, the average amount of moisture falling as rain and snow is 30.21 inches

Step-by-step explanation:

depends on the state

Answer:

[tex]\tan \dfrac{\theta}2 = \dfrac{1}2[/tex]

Step by step Explanation:

[tex]\sin \theta = \dfrac{\text{Perpendicular} }{\text{Hypotenuse}} = \dfrac{12}{15}\\\\\\\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}= \dfrac{9}{15}\\\\\text{Now,}\\\\\tan \dfrac{\theta}2 = \dfrac{\sin \tfrac{\theta}2}{\cos \tfrac{\theta}2}\\\\\\~~~~~~~~=\dfrac{2\cos \tfrac{\theta}2 \sin \tfrac{\theta}2 }{2\cos^2 \tfrac{\theta}2}~~~~~~;\left[\text{Multiply by}~ 2\cos\tfrac{\theta}2 \right][/tex]

         [tex]=\dfrac{\sin \theta}{1+ \cos \theta}~~~~~~~~~~~~;[2 \sin x \cos x = \sin 2x ~ \text{and}~ 2\cos^2 x =1+\cos 2x]\\\\\\=\dfrac{\tfrac{12}{15}}{1+ \tfrac{9}{15}}\\\\\\=\dfrac{\tfrac{12}{15}}{\tfrac{24}{15}}\\\\\\=\dfrac{12}{15}\times \dfrac{15}{24}\\\\\\=\dfrac{12}{24}\\\\\\=\dfrac{1}2[/tex]

The volume of the given cone.

[tex]\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}[/tex]

[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]

Let's solve!

Substitute the values according to the formula.

[tex]V=\frac{1}{3}×3.14×{12}^{2}×19[/tex]

[tex]\large\boxed{V=2863.68 \: {ft}^{3}}[/tex]

Therefore, the volume of the given cone is 2863.68 cubic feets.

Answer:

This will be a negative exponent so get rid of that negative number,

Step-by-step explanation:

This is very useful

Answer:

A

Step-by-step explanation:

dont have it but its A

The option that correctly replaces the question mark in Aisha's proof is SAS (Option C). See it explained below.

Mathematical proofs are statements that are used to demonstrate that a mathematical expression or logic of true.

Since the portion of the question that shows the question mark is missing, we can rewrite the proof as follows:

Step 1

AB Dissects BC

AE ║ BD

Reason - It is given

Step 2

BC ≅ BE

Reason -  Definition of Segment Bisector

Step 3

∠ABE ≅ ∠CBD

Step 4

∠BCD ≅ ∠BEA

Reason

Alternative Interior Angles

Step 5

ΔBCD ≅ ΔBEA

Reason

SAS Postulate

Step 6

QED

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Answer:

No answer

Step-by-step explanation:

I'm just a smart guy

Answer:

Normally,in calculating the amount of space an object occupies...the volume method is require due to 3 dimensional rule,vice versa an area

Answer:

I believe it should be rounded to 11, if not decimal would be 10.88

Step-by-step explanation:

49 divided by 9 equals 5.44 which is the amount times the 49cm^2 triangle is compared to the 9cm^2. So then the side is 2cm, multiply by the amount times bigger the other triangle is which would be 10.88. Hopefully I'm not wrong:)

Answer:

The answer is 4 and 2/3 cm²

Step-by-step explanation:

Take the square root of 49 and 9 and you'll get 7 and 3 since the scale factor is the large area over the small area.

The large area would be √49 cm²

The small area would be √9 cm²

  7          x cm

------ =  ----------, cross multiply

  3         2 cm

7 × 2 = 3 × x

14 = 3x

x = 14/3, x = 4 and 2/3

Answer: 112 divided by 8 equals the length of the lion costume

Step-by-step explanation: 112 divided by 8 equals ???

Try and work it out using the bus stop method

Sorry if I wasn’t much help.

x = 85

sum of all the angles must be 540,

105 + 120 + 3x + 35 + 25 = 540

3x = 255

x is 85

Answer:

1

2

2

Step-by-step explanation:

Answer:

slope = 3/5

y-intercept = -3

Step-by-step explanation:

This equation is formatted in slope-intercept form. The general structure of these equations are:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. Therefore, to find the answer, see which variable the numbers from the original equation correspond with.

y = mx + b

y = (3/5)x - 3

slope = m = (3/5)

y-intercept = b = -3

Answer:

slope = 3/5

y-intercept = -3

Step-by-step explanation:

This equation is formatted in slope-intercept form. The general structure of these equations are:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. Therefore, to find the answer, see which variable the numbers from the original equation correspond with.

y = mx + b

y = (3/5)x - 3

slope = m = (3/5)

y-intercept = b = -3

THANKS

0

0.0

(0 votes)

Let's say that the money that each person has is equal to a letter:

A=Debbie, B=John, C=David.

Now we can write some equations.

"John has four times as much money as his sister Debbie who has half as much as their friend David."

B = 4A

A = 0.5C

"Together the three children have $105"

A+B+C=105

This is now a system of equations problem. Substitute to solve.

A + (4A) + C = 105

(0.5C) + 4(0.5C) + C = 105

3.5C = 105, so C = 30.

Plug this into the previous equations to get A=15 and B=60

So Debbie has $15, John has $60, and David has $30

Hi student, let me help you out! :)

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

We are asked to solve the equation [tex]\large\pmb{39y=4y+11}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

First, subtract 4 from both sides of the equal sign:

[tex]\pmb{39y-4y=11}[/tex]

Which gives us:

[tex]\pmb{35y=11}[/tex]

Divide both sides by 35:

[tex]\pmb{\cfrac{35}{11}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Answer:

(4x+2)(4x-2)

Step-by-step explanation:

Answer:

(4x+2)(4x-2)

Step-by-step explanation:

Answer:

$20,285.51

Step-by-step explanation:

A = P + I where

P (principal) = $12,000.00

I (interest) = $8,285.51

A = Pe^(r*t)

A = 12,000.00(2.71828)^((0.075)*(7))

A = $20,285.51

e, also known as Euler's number, is a mathematical constant approximately equal to 2.71828

e here helps to show continously compounded interest

calculatorsoup

wikipedia

Answer:

2:3, 2 to 3

Step-by-step explanation:

9 and 6 are both factors of three, so you have to reduce. 3 goes into 9 tree times, and 3 goes into 6 twice. Since it is circles to squares, the 2 comes first then 3.

Hope this helps!

Answer:

288

Step-by-step explanation:

Find the 18 on the x axis. Go up to the line. Then go left and you will be at 288 on the y axis.

You can also divide a known coordinate to find the rate of change, since the graph is proportional. Use (6, 96). y/x = rate of change

96/6 = 16.

Now multiply 18 and 16 to get the number of cookies.

18 x 16 = 288

Answer:

141.75 pounds

Step-by-step explanation:

20.25* 7 = 141.75 pounds

You could also add 20.25 + 7 seven times.

Setting up and equation from the word problem, Orlando has 24 apps on his phone, and Maria has 10 apps on her phone.

Let's assume that Orlando has x number of apps on his phone. According to the given information, Maria has 14 fewer apps, so the number of apps on Maria's phone would be (x - 14).

The total number of apps on both phones is 34, so we can set up the equation:

x + (x - 14) = 34

Simplifying the equation:

2x - 14 = 34

Adding 14 to both sides:

2x = 48

Dividing both sides by 2:

x = 24

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To complete squares, she must use, in order:

Here we have the quadratic equation:

[tex]2x^2 + 12x - 3 = 0\\[/tex]

There are some ways of solving this, the first approach is completing squares, where we can write:

[tex]2(x^2 + 6x) - 3 = 0\\\\2(x^2 + 2*3*x + 9 - 9) -3 = 0\\[/tex]

Here we add and subtract 9 to complete squares and not change the equation. Here we used the third step only.

Now we just complete squares to get:

[tex]2*(x^2 + 6x + 9) - 2*9 - 3 = 0\\\\2(x^2 + 6x + 9) = 3 + 18 = 21\\\\2*(x + 3)^2 = 21\\\\x + 3 = \pm \sqrt{\frac{21}{2} }[/tex]

Where the first and fourth steps are also used.

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The required equation of the line is 5y=x.

We are given to find the equation of the line passing through the points (0, 0) and (15, 3).

We know that

The equation of a line passing through two points (a, b) and (c, d) is given by

[tex]y-b=\frac{d-b}{c-a}(x-a)[/tex]

Therefore, the equation of the line passing through the points (0, 0) and (15, 3) is given by,

Thus, the required equation of the line is

[tex]y-0=\frac{3-0}{15-0}(x-0)\\y=\frac{3}{15}x\\ y=\frac{1}{5}x\\ 5y=x[/tex]

Thus the required equation of the line is 5y=x.

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By finding the value between consecutive tick marks, we will see that:

1) x = 20

2) x = 48

3) x = 9.5

We know that each tick mark are equally spaced in the number lines below.

If you look at the first one (the already solved one). You can see that between the 4 and the 12 there are 4 ticks. If each tick has a value of T, we must have:

4 + 4*T = 12

4*T = 12 - 4 = 8

T = 8/4 = 2

Each tick values 2 units.

Between the 12 and the x there are 4 ticks, then:

x = 12 + 4*2 = 20

Now let's look at the second number line. There are 10 ticks between 25 and 140, then:

25 + 10*T = 140

10*T = 140 - 25 = 115

T = 115/10 = 11.5

And there are 2 ticks between 25 and the x, so:

x = 25 + 2*T = 25 + 2*11.5 = 48

x = 48.

Now the final number line. There are 8 ticks between 10 and 12, then:

10 + 8*T = 12

8*T = 12 - 10 = 2

T = 2/8 = 1/4 = 0.25

Now, the x is 2 ticks before the 10, then we have:

x = 10 - 2*T = 10 - 2*0.25 = 9.5

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Answer:

$130

Step-by-step explanation:

120 x (1 + 1/12) = 120 x 13/12 = 130