What is the value of x?
A.30 B.45 C.85 D.90

Answer:

180 units²

Step-by-step explanation:

Let's find the length of the dashed line (which is the length of the trapezoid).  Use the Pythagorean Theorem:

7² + h² = 25², or h² = 625 - 49 = 576.  Thus, h = √576 = 24.

The average width of the trapezoid is:

         (7+4) + 4

w = ---------------- = 15/2

               2

The area of a trapezoid is (average width of trapezoid)(length of trapezoid), and here that comes to:

        15

A = -------- * 24 = 180 units²

          2

Hope this help!!!

Have a nice day!!!

Answer:  The required values are

u = 140, v = 28, w = 40, x = 40 and y = 20.

Step-by-step explanation:  We are given to find the values of u, v, w, x and y from the figure shown.

We see that

the lines AB and CD are parallel to each other and PS is a transversal.

So, we must have

[tex]u^\circ=140^\circ~~~~\textup{[alternate interior angles]}\\\\\Rightarrow u=140.[/tex]

Now, we also have

[tex]u^\circ=5v^\circ~~~~~\textup{[vertically opposite angles]}\\\\\Rightarrow u=5v\\\\\Rightarrow 140=5v\\\\\Rightarrow v=\dfrac{140}{5}\\\\\Rightarrow v=28.[/tex]

Now, from the property of linear pair, we get

[tex]u^\circ+x^\circ=180^\circ\\\\\Rightarrow u+x=180\\\\\rightarrow 140+x=180\\\\\Rightarrow x=180-140\\\\\Rightarrow x=40.[/tex]

Since angles of measure w° and x° are alternate interior angles, so

[tex]w^\circ=x^\circ=40^\circ\\\\\Rightarrow w=40.[/tex]

Again, by using the property of linear pair, we get

[tex]2y^\circ+140^\circ=180^\circ\\\\\Rightarrow 2y+140=180\\\\\Rightarrow 2y=40\\\\\Rightarrow y=\dfrac{40}{2}\\\\\Rightarrow y=20.[/tex]

Thus, the required values are

u = 140, v = 28, w = 40, x = 40 and y = 20.

The slope is 2/-2, so -1. The y-intercept is 2. So, y=-x+2

Answer:

If this is USATestPrep the answer is C

Step-by-step explanation:

Answer:

Option C is right.

Step-by-step explanation:

Jana has to solve a system of equations that contains an exponential function and a linear function.

C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.

Exponential will eventually exceed all other functions as they are the fastest growing functions.

Answer:

A because the sum of 5 - 9i and -4 + 7i is 1 - 2i. And if you subtract 14 - 3i out of that, then you get -13 + i.

Answer:

measure of angle R is 75.897° or 75.90°.

Step-by-step explanation:

To solve use the formula Sin A/ a= Sin B/ b. our angle A is 52°, opposite it is side a so 26. Let angle R be our B so opposite it is b which measure 32.

sin 52°/26 = Sin B/32, cross multiply

32 (sin 52°) = 26 Sin B, multiply both side by 1/26

32 (sin 52°)/26 = Sin B

32 (0.78880107536...)/26 = Sin B

0.969593891... = Sin B

Sin^-1 (0.969593891..) = B

B = 75.89703075 or Angle R is 75.90°

Answer:

Option A. 15.6 x 1,000

Step-by-step explanation:

we have that

A bag of cement mix has a mass of 15.6 kilograms

Remember that

1 kg=1,000 g

Convert Kg to g

15.6 kg=15.6*1,000=15,600 g

Answer:

if f(x) = 3x+4, the rate of change is 4.

if f(x) = 2x+7, the rate of change is 2.

Step-by-step explanation:

We know that the average rate of change over the interval x=0 to x=8 is:

(f(x2) - f(x1))/x2-x1

Where:

x2 = 8

x1 = 0

if f(x) = 3x+4

so f(8)=3(8)+4 = 28

f(0)=3(0)+4 = 4

Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3

On the other hand, if f(x) = 2x+7

f(8) = 2(8)+7 = 23

f(0) = 2(0)+7 = 7

Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2

Answer:

 To find the reference angle measuring x for angle in Quadrant II the formula is:

                  180° - x = 180° - 150° = 30°

             Answer: the reference angle is 30°

The expression we can use to determine the reference angle for an angle, x, measuring 150°  is   180°-X=150°

                               ⇒    X=180°-150°

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Answer:

A. y = 3x/4

Step-by-step explanation:

 a proportional relationship between x and y is a straight line passing through the origin (0, 0).

The equation must be in the form y = kx.

y = 3x/4

y = 3/4x

Answer:

y=3x/4

Step-by-step explanation:

Answer:

BVLJFBGEJOOEUUUUUUUUVWRBTOUGNJWWHBH

Step-by-step explanation:

Answer:

Bryan's answer is wrong because when we calculate the equation, the product will not be 36, since 2³ will be equal to 8, and 3² will be equal to 9, the product of 8 and 9 is 72, twice as much as the result we needed.

The correct equation here should be: 2² × 3² = 36

2² × 3² = 4 × 9 = 36

SHORT ANSWER: 36

HOPE IT HELPS LOVE.

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

In probability, "AND" means "multiplication" and "OR" means "addition".

Here, we are looking for probability of number greater than 4 "AND" probability of heads

so we find the individual probabilities and "multiply".

There are 6 numbers in a cube and number greater than four are 5 & 6, so 2 numbers. Hence

Probability of number greater than 4 is  2/6 = 1/3

Now,

In coin there is only head and tail, so probability of coming up heads is 1/2

Now we multiply both:

1/3 * 1/2 = 1/6

Hence

probability that a number greater than four is rolled and the coin comes up heads is 1/6

Answer:

B  480 in.³

Step-by-step explanation:

Volume of a rectangular prism is given by

V = l*w*h

V = 8*12*5

V =480 in ^3

Answer:

[tex]\$4.81[/tex]

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

step 1

in this problem we have  

[tex]t=5\ years\\ P=\$5,656.30\\ r=0.041\\n=12[/tex]  

substitute in the formula above  

[tex]A=\$5,656.30(1+\frac{0.041}{12})^{12*5}=\$6,940.82[/tex]  

step 2

in this problem we have  

[tex]t=5\ years\\ P=\$5,656.30\\ r=0.041\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$5,656.30(1+\frac{0.041}{4})^{4*5}=\$6,936.01[/tex]  

step 3

Find the difference

[tex]\$6,940.82-\$6,936.01=\$4.81[/tex]

Answer:

D. The students are not part of the population

Step-by-step explanation:

The first three options are true of this sample. D is the only option that is not true.

Answer:

The students are not part of the population.

Step-by-step explanation:

To find volume, we will use the following equation: V=4/3piR^3

The correct answer should be 1436.76

The volume of the spherical boulder will be 1,436.027 cubic feet.

Let r be the radius of the sphere. Then the volume of the sphere will be given as,

V = 4/3 πr³ cubic units

A spherical boulder is 14 ft in diameter. Then the radius is calculated as,

r = d / 2

r = 14 / 2

r = 7 feet

Then the volume of the spherical boulder is calculated as,

V = 4/3 πr³

V = 4/3 x 3.14 x 7³

V = 1,436.027 cubic feet

The volume of the spherical boulder will be 1,436.027 cubic feet.

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Answer: 25.97

Explanation:

First you take 100-30=70

Then 70/100= 0.70

Multiply 0.70 by 35 give you 24.5

Than take 6% this time you will just divide by 100 so will be 6/100=0.06 how you are adding have put 1 in front that will result 1.06

Than take 24.5 multiply by 1.06 and get 25.97

Answer:

Hello, thank you for choosing Brainly to ask your question.

First, we have to find out what would 30% of 35 is.

To answer that, just use a common calculator or find out what 10% of it is and keep adding up.

So, 30 percent of 35 is 10.5.

Next, we have to find out what 6% of 24.50 is.

To find out the answer, you have to really use a calculator to find out. It would be way simpler and easier.

So, open your calculator. Then do "24.50 multiplied by 6%"

We are left with 1.47.

Now add 1.47 to 24.50. Your final answer is 25.97.

To determine the longest segment, we calculate the distances between the given points using the distance formula. The longest segment is DE with a distance of approximately 21.43 meters.

To determine which segment is the longest, we need to find the distance between each pair of points. Using the distance formula, we can calculate the distance between points D and E, points E and F, points F and G, and points G and H. By comparing these distances, we can determine which segment is the longest.

D = sqrt((-3 - 8)^2 + (-6 - 11)^2) = sqrt(169 + 289) = sqrt(458) ≈ 21.43

E = sqrt((8 - 13)^2 + (11 - 13)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39

F = sqrt((13 - 8)^2 + (13 - 11)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39

G = sqrt((8 - -3)^2 + (11 - 13)^2) = sqrt(121 + 4) = sqrt(125) ≈ 11.18

H = sqrt((13 - -3)^2 + (13 - 11)^2) = sqrt(256 + 4) = sqrt(260) ≈ 16.12

The longest segment is DE with a distance of approximately 21.43 meters.

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Answer:

Sequence: ordered list of numbers

Series: sum of the terms of a sequence

Arithmetic sequence: the difference between the terms is constant

Geometric Sequence: the ratio between the terms is constant

Step-by-step explanation:

The difference between a series and a sequence is that a sequence is a list of numbers that follow a pattern or rule.

For example

1, 3, 5, 7, 9...

[tex]a_n = 1 +2(n-1)[/tex]

On the other hand, a series is the sum of the terms of a sequence.

1 + 3 + 5 + 7 + 9 + ...+ n

[tex]\sum_{n=1}1 +2 (n-1)[/tex]

----------------------------------------------------------------------------------

The difference between an arithmetic sequence and a geometric sequence is that:

for the arithmetic sequences the subtraction of:

[tex]a_n - a_{n-1} = d[/tex]

Where d is a constant  called difference..

In the Arithmetic sequence the difference between the terms is constant

For the geometric sequences, it is satisfied that the quotient between two consecutive terms is:

[tex]\frac{a_{n-1}}{a_n} = r[/tex]

Where r is a constant value called common ratio

In geometric Sequence the ratio between the terms is constant

Final answer:

A sequence is an ordered list of numbers, while a series is the sum of the terms of a sequence. An arithmetic sequence has a constant difference between terms, while a geometric sequence has a constant ratio.

Explanation:

Difference Between Sequence and Series

A sequence is an ordered list of numbers following a specific pattern, while a series is the sum of the terms of a sequence. For example, in the sequence 2, 4, 6, 8, ..., each term is 2 more than the previous term. However, when these terms are added together, for instance, 2 + 4 + 6 + 8, we get a series.

Difference Between Geometric and Arithmetic Sequences

An arithmetic sequence is characterized by a constant difference between consecutive terms. For example, the sequence 3, 7, 11, 15, ... has a common difference of 4. On the other hand, a geometric sequence has a common ratio between consecutive terms, such as the sequence 2, 6, 18, 54, ... where each term is 3 times the previous term.

Answer:

Step-by-step explanation:

30, the angle is worth 180 and 180-40=140. 140-20=120. 4*30=120

Answer:

x=30

Step-by-step explanation:

4x+20+40=180

4x+60=180

4x=180-60

4x=120

4x/4

120/4

=30

PLZZZZZ make me brainliest!!

Answer:

see explanation

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{y}[/tex]

Multiply both sides by y

y × sin30° = 6 ( divide both sides by sin30° )

y = [tex]\frac{6}{sin30}[/tex] = [tex]\frac{6}{\frac{1}{2} }[/tex] = 12

---------------------------------------------------------------------------------------

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex]

Multiply both sides by y ( y = 12 )

12 × cos30° = x

x = 12 × [tex]\frac{\sqrt{3} }{2}[/tex] = 6[tex]\sqrt{3}[/tex]

Answer:

2/3 of the fruits are bananas. :)

Step-by-step explanation:

Answer:

[tex]72\pi\ in^{3}[/tex]

Step-by-step explanation:

step 1

Calculate the volume of the cylinder (flower vase)

The volume is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=6/2=3\ in[/tex] -----> the radius is half the diameter

[tex]h=12\ in[/tex]

substitute the values

[tex]V=\pi (3)^{2}(12)=108\pi\ in^{3}[/tex] ------> exact value

step 2

Calculate  2/3 of the volume

[tex]V=(2/3)108\pi=72\pi\ in^{3}[/tex]

Answer:

1, 2, 5, 10, 25, 50

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Volume is three dimensional so it is measured in cubic units

Volume =(length)(width)(height)  [tex]\to[/tex] cubic centimeters

Area is two dimensional, it is measured in square units.

Area = (length)(width)  [tex]\to[/tex] square meter

Speed is derived from two basic quantities (length and time). It is measured  is meters per seconds.

Speed= distance/time   [tex]\to[/tex]  meter per second

Perimeter is distance around an object. It is measured in meters

Perimeter=2 (length)+2 (width)  [tex]\to[/tex] meter

Matching Quantities with Units

Answer: The correct answers are 1, 2, 4, 7

Step-by-step explanation:

Work for each problem:

1.)  1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9  Median: 5 * 2 = 10 / 2 = 5

2.) Correct: The most answers were answered between the numbers 3 and 5.

3.) 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9 (add all) = 108 / 24= 4.5

Answer:

the correct answers are

2. most students answered between 3 and 6 questions correctly

3. the median is 5 questions answered correctly

6. the mean is 4.5 questions answered correctly

7. the students answered between 1 and 9 questions correctly

Step-by-step explanation:

for #2-the shape of the data, more than half of the data lies between #3 and #6..so Most students answered between 3 and 6 questions correctly.

for #7-the lowest # of questions answered correctly is 1 and the highest # of questions answered is 9; so it makes Students answered between 1 and 9 questions correctly

Answer:

A. -50

Step-by-step explanation:

The question is asking you to find the Y point as they gave you the X.

(0,-50). -50 on the y-axis explains the x of 0. If you though it was 14 or -6, it is not because they have the x of -6 and the y of 0.

Answer:

C. 14

Step-by-step explanation:

The given graph represents a polynomial function r(x).

We want to find an x-value that satisfies

r(x)=0.

The solution to the function whose graph is shown are the x-intercepts of the graph.

We can read from the graph that, the x-intercepts are;

[tex]-6[/tex] and [tex]14[/tex].

Hence the solutions are x=-6 and x=14.

From the given options a solution to r(x) is 14.

The correct choice is C

Answer:

Adidas pairs are 7, nikes are 10

Step-by-step explanation:

10n+7a=shoes total

7x+3=Nikes x=7

Answer:

cash

Step-by-step explanation:

You cannot get your money back once you lose cash since it's not connected to any bank or financial institution, unlike debit cards, credit cards, or checks.

The form of payment that you can lose and not get your money back is cash. When you lose cash, there is no way to trace it or stop it like you can with a check, debit, or credit card. This is because cash is not linked to any banking or financial institution, so no protections are in place to recover lost or stolen cash. On the other hand, if you lose a debit card, credit card, or check, you can immediately inform your bank or card issuer to freeze your account or cancel the check, thereby protecting your money.

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