Mathematics College

Find the area of the following
trapezoid:
8 cm
5 cm
4 cm
16 cm
A = [?] cm2
PLEASE HELP

Answers

Answer 1

Answer:

48 cm²

Step-by-step explanation:

Area of trapezoid = [tex]\frac{a + b}{2}[/tex] × h

Area = (8 + 16)/2 x 4

Area = 24/2 x 4

Area = 12 x 4

Area = 48 cm²

Related Questions

How much simple interest would Alexis earn if he deposits $2450 in a savings account with a simple interest rate of 12% for 15 years.

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Answer:

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Step-by-step explanation:

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Interactive digital version available - link: https://access.openupresources.org/curricula/our6-8math/en/supporting-material/7569/index.html
After a while, Jada picks up a coin that seems different than the others. She notices that the next day, only half of the coin is left!
On the second day, only 1/4 of the coin is left.
On the third day, 1/8 of the coin remains.
What fraction of the coin remains after 6 days?

What fraction of the coin remains after 28 days? Write an expression to describe this without computing its value.

Does the coin disappear completely? If so, after how many days?

Answers

Answer:

After 6 days 1/64 of the coin will remain, while after 28 days 1/268435456 will remain. Now, it will never completely disappear, since it can always be reduced to a larger number.

Step-by-step explanation:

Since after a while, Jada picks up a coin that seems different than the others, and she notices that the next day, only half of the coin is left, while on the second day, only 1/4 of the coin is left and, on the third day, 1/8 of the coin remains, to determine what fraction of the coin remains after 6 days, what fraction of the coin remains after 28 days and determine if the coin will disappear completely, the following calculation must be performed:

1/2 ^ 6 = X

0.015625 = X

1/64 = X

1/2 ^ 28 = X

0.0000000037252902984619140625 = X

1/268435456 = X

Thus, after 6 days 1/64 of the coin will remain, while after 28 days 1/268435456 will remain. Now, it will never completely disappear, since it can always be reduced to a larger number.

John can polish 42 tables in 6 hours. What is the ratios of the number of hours to tables?

Answers

Answer:

1 : 7

Step-by-step explanation:

Answer:

7:1

Step-by-step explanation:

divide 42 by 6 to get how many he can do in one hour

42/6=7

7:1

Pls answer i will give brainliest pls

Answers

Answer:

Step-by-step explanation:

In the slope intercept equation of the line the number that not multiplies the x or the y indicates where the line intercept the y axis

so in this cas the line intercept the y axis in the point (0,2)

so the answer is B

2 = x - 3

whats the answer?

Answers

Answer:

x=1

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

Answer:

Step-by-step explanation:

We need to find the value of x

add 3 to both sides

5= x

so 5

Do the functions have the same concavity? f(x)=-x^2+40x+120f(x)=−x 2 +40x+120

Answers

Answer:

1. f(x)=-x^2+40x+120. Answer: it would be the same answer

2. f(x)=−x 2 +40x+120. Answer: look at the both picture

Step-by-step explanation: Hope this help :D

Both functions have the same concavity—they are both concave downward.

How to explain the function

Let's start with the first function, f(x) = -x² + 40x + 120.

First Derivative:

f'(x) = -2x + 40

Second Derivative:

f''(x) = -2

Since the second derivative is a constant (-2), it is negative for all values of x. Therefore, the first function has a concave downward shape.

Now let's move on to the second function, f(x) = -x² + 40x + 120.

First Derivative:

f'(x) = -2x + 40

Second Derivative:

f''(x) = -2

Similar to the first function, the second function also has a constant second derivative (-2) that is negative for all values of x. Therefore, the second function also has a concave downward shape.

In conclusion, both functions have the same concavity—they are both concave downward.

Learn more about functions

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Write the quadratic equation in sandard form and then choose the value of "b."
(2x-1)(x+5)=0

Answers

So to get into the form you need to multiply both using foil. First inside outside last. So 2x • x = 2x^2 + -1 • x + 5 • 2x + -1 • 5
= 2x^2 -x+10x -5
= 2x^2 +9x -5
And the b value would be 9 since
Ax^2 +bx + c

If g(x) = -3(x) - 5 then g(?) = 25
10
-20
5
-10

Answers

Answer:

D) -10

Step-by-step explanation:

We will assign g(x) to be equal to 25, and then solve for x:

25 = -3x-5

30 = -3x

10 = -x

-10 = x

So D is correct

Answer:

-10 is correct option

Step-by-step explanation:

g(x)=-3(x)-5

g(-10)=-3(-10)-5

=30-5

=25

3rd 9-Week Exam
Question: 1-1
Monica is using a coordinate plane to make a design in art class. She wants to reflect a line segment across the x-
axis as part of the design. The line segment has an endpoint at (-7,5) and is 5 units long. Which two ordered pairs
could be the coordinates of the endpoints of the reflection of the line segment?

Answers

Answer:

dgfrngssfrhrfhhkthgfgtuthrruyifrhtuturhfnfbhmxvdg4jfdd

Step-by-step explanation:

xdvbbffyeurudgdifhfjdchd8wixsigfir

Help me pls I really need help

Answers

I think is 200 minutes

Express the following as a single fraction in its simplest form: 12/y x y/3x

Answers

Answer:

by cancellation method we can cancel both the y's

so the leftover digits are, 12/3x

when simplifying, we will get 4/x

∴ the final answer is 4/x

hope this answer helps you.....

Kenny and Ben start competing businesses selling hats. Kenny buys supplies, costing $3, before he starts selling his
hats for $0.50 each.
Ben sells his hats for $0.25 each and spent only $1 on supplies. At
what point have they sold the same number of hats and made the
same profit (income minus costs)?
Write your answer as a coordinate point (hats, profit). HELP PLZ WHAT ARE THE EQUATIONS??

Answers

9514 1404 393

Answer:

(8, 1)

Step-by-step explanation:

Let x represent the number of hats sold by each seller.

Kenny's cost: $3

Kenny's revenue: $0.50x

Kenny's profit = revenue - cost: y = 0.50x -3

Ben's cost: $1

Ben's revenue: $0.25x

Ben's profit = revenue - cost: y = 0.25x -1

The profit and sales will be the same when the same (x, y) values satisfy both profit equations.

y = 0.50x -3

y = 0.25x -1

0.50x -3 = 0.25x -1 . . . . . substitute for y

0.25x = 2 . . . . . . . . . . . add 3-0.25x

x = 8 . . . . . . . . . . multiply by 4

y = 0.25x -1 = 2 -1 = 1 . . . using Ben's profit equation

The profit and sales will be the same for ...

(hats, profit) = (8, 1)

can u plz help me ok i need help

Answers

Answer:

the answer is 47 sprinklers

Step-by-step explanation:

so the system is 188 and there is one sprinkler every 4 feet

so 188/4 which would give u 47

The answer is the first one, 47 sprinklers.

Find the area of the shape below. 5yd 7yd

Answers

Answer:

45.99 yd²

Step-by-step explanation:

The square is 5 yd × 7 yd

35 yd²

The circle = 2 × pi × radius

2 × 3.14 × 3.5

21.99115 rounds to 21.98 yd²

Since it is have a circle,

21.98 yd² ÷ 2

10.99 yd²

35 yd² + 10.99 yd²

45.99 yd²

45.99 yd ^^ good luck

Need help take your time and thx

Answers

Answer:

(x-4) (x+1)

step by step explanation:,

Ms.Sandy Bought A Package Of Pencils. Out Of Every 10 Pencils, 8 Are Black. If There Are 30 Pencils In The Pack, What Fraction Of The Pencils In The Pack Are Black? What Percent Of The Pencils In The Pack Are Black? What Fraction of The Pencils In The pack Is Black?

Answers

Answer:

Step-by-step explanation:

Fraction: 24/30 or 4/5 Percentage: 80%

Bradley's bike has an odometer, which shows how far he rides. Bradley rode 2.7 miles on
Monday, 2.4 miles on Tuesday, and 2.8 miles on Wednesday.
How many days did Bradley ride more than 2 miles?

Answers

Answer:

7.9

Step-by-step explanation:

I added 2.7 + 2.4 + 2.8, lmk if it's wrong.

Which expression is equivalent to (6^-2)^3

Answers

1/46656 or B. 1/6^6
6^6 is equal to 46656

PLEASE HELP ME !!
acellus : chords and arcs find the value of x

Answers

Answer:

Step-by-step explanation:

since all the sides are equal then that means that x is going to equal 8.

The first sequence rule is multiply by 2 starting from 7. The second sequence rule is add 2 starting from 8. What is the first number that appears in both sequences?
Question 3 options:

10

14

18

28

Answers

The first and the second sequence are arithmetic and geometric sequence, respectively

The first number in both sequences is 14

How to determine the first number?

From the question, we have the following rules

Rule 1

Start = 7

Multiply by 2

Rule 2

Start = 8

Add = 2

So, the numbers in the sequence are:

Rule 1: 7, 14, 28, 56......

Rule 2: 8, 10, 12, 14, .....

By comparing the numbers in the sequence, we can see that the first number in both sequences is 14

Answers

Answer:

1. 40

2. 40

3. 140

4. 210.5

I tried, hope this helps :)

help me plz...............

Answers

Answer:

2. 7.6

3. .057

4. Nine and three tenths

5. Forty two hundredths

6. Ninety two thousandths

Step-by-step explanation:

Answer:

1. 0.16

2. 7.6

3. 0.057

4. nine and three tenths

5. forty two hundredths

6. ninety two thousandths

I hope this helped

PLEASE HELP I ONLY HAVE AN HOUR LEFT !!!!!!

Answers

Answer:

1,3, and 4

Step-by-step explanation:

PLEASE please help me I can't deal with math anymore it's so confusing

Answers

I think it is B. 1

If this is wrong I am sooo sorry it’s been a while since I have done these

In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.

Answers

Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Randomly select 10 cars

This means that [tex]n = 10[/tex]

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]

Calculate the test statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]t = 3.24[/tex]

The test statistic is t = 3.24.

Bryan has coaught 14 of the 70 pokemon that are still currently at the park in pokemon go.what percent of pokemon does he stiñl need to catch?

Answers

Answer:

He still needs to catch 80% of the pokemon's.

Answer:80% are left.

The population of China was about 1.39 billion in the year 2013with an annual growth rate of about 0.6\% . Find an equation P(t) that represents the growth function for China. Write your answer in the form a * (b) ^ 2 in billions Provide your answer below:

Answers

Answer: 1.39(1.006)^t

Step-by-step explanation:

The equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

What is a Function ?

A statement that relates two unknown parameters such that one is dependent on the other is called a function.

It is given that

Initial population = 1.39 billion in 2013

Growth Rate = 0.6%

Let a represent the initial population

b is the growth rate

and 2 be the elapsed year from 2013

and let the population at any given year is P(t)

Then the equation formed is

P(t) = a * bⁿ

P(t) = 1.39 * ( 1.006)ⁿ

Therefore the equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

To know more about Function

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Drag each equation to the value that makes it true.

Answers

Answer:

5h=60 needs to go in the last one

Step-by-step explanation:

A sociologist recorded the number of contacts entered in a cell phone and the number of texts sent in a week for 20 cell phone users. The resulting data were used to conduct a hypothesis test to investigate whether there is a linear relationship between the number of contacts and the number of texts sent. What are the correct hypotheses for the test?

a. H0:β1=0 Ha:β1≠0

b. H0:β1=0 Ha:β1>0

c. H0:β1=0 Ha:β1<0

d. H0:β1≠0 Ha:β1=0

e. H0:b1=0 Ha:b1≠0

Answers

The correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0

What is Statistic?

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,

The correct hypotheses for testing the linear relationship between two variables can be stated as:

H0: β1 = 0 (there is no linear relationship between the number of contacts and the number of texts sent)

Ha: β1 ≠ 0 (there is a linear relationship between the number of contacts and the number of texts sent)

Therefore, the correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0

Learn more about statistics here:

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Sometimes Zach's teammates arrive late to basketball practice. The following dot plot shows how many times each teammate was late to practice last week.
Find the mean number of times Zach's teammates were late to practice last week.
BRAINLIEST!!!!!

Answers

Answer:

3.5.

Step-by-step explanation:

Zach's teammates were late to practice last week. According to Khan Academy the answer is 3.5.

The mean number of times Zach's teammates were late to practice last week is 3.5

What is dot plot?

A dot plot visually groups the number of data points in a data set based on the value of each point.

Given that, the following dot plot shows how many times each teammate was late to practice last week.

We need to find mean,

Total elements = 2 + 4 + 4 + 4 = 14

Data points = 4

Mean = 14 / 4 = 3.5

Hence, the mean number of times Zach's teammates were late to practice last week is 3.5

Learn more about dot plots, click;

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Find the area of the following trapezoid: 8 cm 5 cm 4 cm 16 cm A = [?] cm2 PLEASE HELP

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Find the area of the following
trapezoid:
8 cm
5 cm
4 cm
16 cm
A = [?] cm2
PLEASE HELP