Find the area of the trapezoid.
9.5 cm
5 cm
13.5 cm

Answers

Answer 1

Answer:

if one base is 9.5 cm and the other is 13.5 cm. The height is 5 cm.

the answer is 57.5

Step-by-step explanation:

Area= base1+base2/2*h

Area= 9.5 + 13.5 / 2 * 5

Area= 23/2 *5
Area = 11.5 *5

Area = 57.5

Related Questions

Solve for x 64^x^2 = 256^x

Answers

Answer:

x = 0, 1.333333...

Step-by-step explanation:

1) Convert both sides to the same base.

[tex]16^{1.5x^{2} } =16^{2x}[/tex]

2) Cancel the base of 16  on both sides.

[tex]1.5x^{2} =2x[/tex]

3) Move all terms to one side.

[tex]1.5x^{2} -2x=0[/tex]

4) Factor out the common term x.

[tex]x(1.5x-2)=0[/tex]

5) Solve for x.

1 - Ask: When will x(1.5x-2) equal zero?

When x = 0 or 1.5x - 2 = 0
2 - Solve each of the 2 equations above.

x = 0, 1.333333...

As part of a science experiment, Sam recorded the four values shown in the table, but one of them got smudged on his paper. He remembers that the sum of the trials was −1. What was the value that was smudged?
Trials
−9
12
(smudged)
−8

A) 2

B) −2

C) −4

D) 4

Answers

Answer:

C

Step-by-step explanation:

ok so sam started with 0 and got -9 then he got 12 then the next known number is -8 so those three numbers together are -5 and the end result was -1 so -1 minus -5 is -4 therefore the anser is C

Please Help
Which expressions are equivalent to 7(-4/3 x -3)? Select two options.

Answers

Answer:

Step-by-step explanation:

7(-3/4x-3) is the same as

7(-3/4x)-7(3) and

-5 1/4x-21

Let me explain this a little bit more.

If you take the 7 times the first part or -3/4x you get 7(-3/4x) You take 7 times the second part you get -7(3)

When you actually solve them:

7(-3/4x) = -5 1/4x  and -7(3) = -21.

hope this helps.

Which number line represents the solution set for the inequality 3x < -9?

Answers

Answer:

i think 5 might be the correct answer

Step-by-step explanation:

Answer:

the third option or c

Step-by-step explanation:

hope this helps!

Karen started painting the walls at 9:25 am, and she said that she would finish the job at 2:35 pm. Her mother said that three fourths of that time was enough to paint the walls. However, when Karen finished the job, they noticed that it actually took her 2/3 of an hour longer than the time predicted by the mother. How much longer did Karen predict it would take then the time it actually took her to complete the job (what part of an hour)?

Answers

Answer:

She predicted it would take her 2/3 of an hour less than it actually took her.

Step-by-step explanation:

Answer:

2/3 of an hour less than it actually took her.

Step-by-step:

Not the Karen's hahahaha

A triangle has an area of 66 in2. If the base is 11 inches, what is the height?

Answers

Answer:

[tex] \Large{\boxed{\sf Height = 12 \ in}} [/tex]

[tex] \\ [/tex]

Explanation:

The area of a triangle is given by the following formula:

[tex] \\ [/tex]

[tex] \left[ \begin{array}{c c c} \underline{\tt Area \ of \ a \ triangle \text{:}} \\ ~ \\ \tt A = \dfrac{B \cdot H}{2} \end{array} \right] [/tex]

Where:

A is the area of the triangle.B is the base.H is the height.

[tex] \\ [/tex]

[tex] \Large{\boxed{\sf Given \text{:} } \ \begin{cases} \sf A &=\sf 66 \ in^2 \\ \sf B &=\sf 11 \ in \end{cases} } [/tex]

[tex] \\ [/tex]

Substitute these values into the formula and solve for H.

[tex] \sf A = \dfrac{B \cdot H}{2} \\ \\ \\ \longrightarrow \sf 66 \ in^2 = \dfrac{11 \ in \cdot H}{2} [/tex]

[tex] \\ [/tex]

Multiply both sides by 2:

[tex] \longrightarrow \sf 66 \ in^2 \cdot 2 = \dfrac{11 \ in \cdot H}{2} \cdot 2 \\ \\ \\ \longrightarrow \sf 132 \ in^2 = 11 \ in \cdot H [/tex]

[tex] \\ [/tex]

Divide both sides by 11in :

[tex] \longrightarrow \sf \dfrac{132 \ in^2 }{11 \ in } = H \\ \\ \\ \longrightarrow \boxed{\boxed{\sf H = 12 \ in}} [/tex]

[tex] \\ [/tex]

[tex] \hrulfill [/tex]

[tex] \\ [/tex]

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AREA OF A TRIANGLE

A triangle has an area of 66 in². If the base is 11 inches, what is the height?

Answer:

The height of the triangle is 12 inches.

Step-by-step explanation:

As per the provided information in the given problem, we know that the area of a triangle is given by 66 inches². The base of the triangle is given by 11 inches. In this problem, we are tasked to find the height of the triangle.

To do this, we will use the formula below:

[tex]\Large\begin{aligned}\rm\qquad\dashrightarrow{Area_{(Triangle)} = \dfrac{1}{2}bh}\end{aligned}[/tex]

Where:

The base is denoted as b.The height is denoted as h.

Substitute the given values into the formula given earlier and solve for h:

[tex]\Large\begin{aligned}\rm\dashrightarrow{Area_{(Triangle)}}& = \rm{\dfrac{1}{2}bh}\\\rm\dashrightarrow{66\: in^2}& = \rm{0.5(11\: in)(h)} \\\rm\dashrightarrow{66\: in^2}& = \rm{(5.5\: in)(h)} \\\rm\dashrightarrow{\dfrac{66\: in^{\cancel{2}}}{5.5\: \cancel{in}}}& = \rm{\dfrac{(\cancel{5.5\: in})(h)}{\cancel{5.5\: in}}} \\\rm\dashrightarrow{12\: in}& = \rm{h}\end{aligned}[/tex]

Hence, the height of the triangle is 12 inches.

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٩(。・ω・。)و

Last year, 15 dogs entered the local dog show. This year, 20 entered. What is the percent increase?

Answers

Answer: 0.75?

Step-by-step explanation:

This might be wrong but, you cross multiply and then divid by one hundred.

5         x.             100x    75 / 100

100.   15

Answer:

the answer is 33 1/3%

Step-by-step explanation:

I took the test

About 20% of earths fresh water is stored in cracks and pores as _______.

Answers

Answer:

groundwater

Step-by-step explanation:

You have 12 coins. Some quarters and dimes. You have a total of $2.40, how many of each coin do you have?

Answers

Answer:

8 quarters and 4 dimes

Step-by-step explanation:

4 quarters = 1 dollars

4 quarters = 1 dollars

4 dimes = 40 cents

2.40$

Answers:8 quarters4 dimes

============================================

Work Shown:

d = number of dimes

q = number of quarters

1 dime = 10 cents

d dimes = 10d cents

1 quarter = 25 cents

q quarters = 25q cents

d+q = 12 since we have 12 coins total

q = -d+12 after solving for q

10d+25q = total value in cents

10d+25q = 240

10d+25(-d+12) = 240 ... plug in q = -d+12

10d-25d+300 = 240

-15d+300 = 240

-15d = 240-300

-15d = -60

d = -60/(-15)

d = 4

q = -d+12

q = -4+12

q = 8

Since d = 4 and q = 8, this means we have 4 dimes and 8 quarters

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

Check:

4 dimes = 4*10 = 40 cents

8 quarters = 8*25 = 200 cents

(4 dimes) + (8 quarters) = (40 cents) + (200 cents) = 240 cents

240 cents = 240/100 = $2.40

We have 4+8 = 12 coins total

The answers are confirmed

In the picture at right, lines l and m are parallel. The measure of angle

Answers

Answer:

Angle APB is 95∘

Step-by-step explanation:

180 - 54 = 126

126 - 31 = 95

Answer:

145 Degree

Step-by-step explanation:

it is a reflex angle and all reflex angle measures at 145 Degrees

How do signs of factors affect their product?

Answers

If a negative number is multiplied with a positive number, the result will be negative. If two positive numbers are multiplied, the result will be positive. If two negative numbers are multiplied, the result will also be positive.

Answer:

If a negative number is multiplied with a positive number, the result will be negative. If two positive numbers are multiplied, the result will be positive. If two negative numbers are multiplied, the result will also be positive.

Step-by-step explanation:

Factor the trinomial.
x² - 2- 8

Answers

The answer is (x-4)(x+2) because you have to look for 2 numbers that multiply to -8 (c) and 2 numbers that add up to -2

So you can use that for standard form
ax^2+bx+c=0

What the answer to number 3 is

Answers

Answer:

is proof an option?

Step-by-step explanation:

In which number is the digit 8 ten times larger than it is in the number 18?

Answers

Answer:

387 contains 80 and 8 x 10 = 80

The function is defined as follows for the domain given.
f(x)=3x+2, domain = (-2,-1,0, 1}
What is the range?

Answers

Answer:

just go to Khan academy, they explain how to get it there. that way you'll learn how to do it while also getting the answer

Need help with this only 25 minutes

Answers

-31.25  +  19.70

explanation:

change in account = withdraw amount + amount deposited

change in account:

-31.25  +  19.70

note: withdrawal will be negative and deposited positive

Two adults and one child go to a movie and pay $26. One adult and 3 children pay
$28. How much would it cost for one adult and one child to see the movie?

Answers

Answer:

adults pay $10

children pay $6

Step-by-step explanation:

x = adult

y = child

2x + y = 26

x + 3y = 28

you want to cancel out x or y

multiply -2 with (x + 3y = 28) which is -2x -6y = -56

2x + y = 26

-2x -6y = -56

-5y = -30

y = 6

put y back into an equation

2x + y = 26 is

2x + 6 = 26

x = 10

check the answer

Two adults and one child go to a movie and pay $26

20 + 6 = 26 : checks

One adult and 3 children pay $28

10 + 18 = 28 : checks

Melanie invested $63,000 in an account paying an interest rate of 7\tfrac{1}{8}7
8
1

% compounded quarterly. Lillian invested $63,000 in an account paying an interest rate of 7\tfrac{3}{8}7
8
3

% compounded continuously. After 15 years, how much more money would Lillian have in her account than Melanie, to the nearest dollar?

Answers

Answer:

  $8727

Step-by-step explanation:

The difference in investment values can be found by computing the value of each investment, then finding the difference. Here, we're concerned with investments compounded quarterly and compounded continuously.

a)

Melanie's investment value is computed using the formula ...

  FV = P(1 +r/n)^(nt) . . . . where P is the principal, r is the annual rate, t is the number of years

  FV = $63,000(1 +0.07125/4)^(4×15) = $63,000(1.0178125^60)

  FV = $181,721.94

__

b)

Lillian's investment value is computed using the formula ...

  FV = Pe^(rt)

  FV = $63,000·e^(0.07375×15)

  FV = $190,449.05

__

c)

The amount more that Lillian has is ...

  $190,449.05 -181,721.94 = $8,727.11

Lillian has about $8727 more than Melanie.

_____

Additional comment

The interest rates expressed as decimal values are ...

  7 1/8% = 0.07125

  7 3/8% = 0.07375

can you multiply whole number by a number with a variable?

Answers

Answer: Definitely Yes.

Step-by-step explanation:

Answer: YES, YOU CAN

Step-by-step explanation:

How do you graph the function y=1/5x+4

Answers

You substitute x or y values and then plot the solution point that you find. You should plot at least three solution points. For example, here is a solution table that can be used to graph this function.

x | y

___

5 | 5

10 | 6

15 | 7

WILL GET MARKED BRAINLIEST FOR BEST ANSWER

Come up with an example of a game other than chess that uses the concept coordinate plane. Explain how the game uses a coordinate plane.

Answers

Answer:

Draughts

Step-by-step explanation:

It still counts

BRAINLIEST AND 100 POINTS, I NEED THIS ANSWER IMMEDIATLY.
Please, tell me the answer, AND what to shade.

Answers

Answer:

10 centimeters = 0.1 meters

Step-by-step explanation:

Question  

How many meters are in 10 centimeters?

There are 100 centimeters in 1 meter.

Therefore, 1 centimeter = 1 ÷ 100 meters

                                       = 0.01 meters

So if 1 centimeter = 0.01 meters

Then 10 centimeters = 0.01 × 10 = 0.1 meters

Area of a circle
You might need: Calculator
Find the area of a circle with a radius of 2.
Either enter an exact answer in terms of IT or use 3.14 for TT and enter your answer as a decimal.
units
2
Show Calculator
Report a problem
Stuck? Review related articles/videos or use a hint.

Answers

Answer:

12.56

Step-by-step explanation:

π x 2² = π x 4 = 3.14 x 4 = 12.56

Aunt Jane weighs 45 newtons. What is her mass in kilograms?

Answers

Answer:

45 newtons = 10.1164024 pounds/force

Step-by-step explanation:

Hope this helps!!!

The required mass of Aunt jane is given as 4.5 kilograms.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given that, Aunt Jane weighs 45 newtons.
So,
F = 45

Since F = Mg,
Mg = 45
M(10) = 45
N = 4.5 kilograms,

Thus, the required mass of Aunt jane is given as 4.5 kilograms.

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#SPJ2

1/8 expressed as a percentage is

Answers

Answer:

The answer is 12.5%

Step-by-step explanation:

Hope this helped!

Answer:

12.5%

Step-by-step explanation:

Divide 1 by . Therefore, the fraction 18 is equivalent to 12.5% .

Moving to another question will save this response.
Question 1
Solve the equation for X.
4(3x + 2) = 68

Answers

Answer:

x=5

Step-by-step explanation:

1. Open the parenthesis:

12x+8=68

2. Subtract 8 from both sides

12x=60

3. Solve for x:

x=60/12

x=5

Answer:

x=5

Step-by-step explanation:

4(3x+2=68

x=5

this is the answer

A net has a square at the center and 4 triangles on the sides. The square has side lengths of 2 yards. The triangles have a base of 2 yards and height of 3 yards.
What is the surface area of the square pyramid?

The surface area is
yd2.

Answers

Answer:

16 yd²

Step-by-step explanation:

The total surface area is the sum of the area of the square base and the 4 triangular sides.

SA = s² + 4 × bh/2

SA = (2 yd)² + 4 × (2 yd)(3 yd)/2

SA = 4 yd² + 12 yd²

SA = 16 yd²

Answer:

16

Step-by-step explanation:

Twice the sum of a number and 7

Answers

Answer:

2 · (n + 7)

Step-by-step explanation:

The sum of a number n and 7 → n + 7

Twice the sum of a number n and 7 → 2 · (n + 7)

Regina currently makes $15 an hour. Her boss decided to give her a 7% raise. Write the expression she would use to determine how much more she will make per hour.

Answers

Answer:

[tex]\frac{7\times15}{100}[/tex]

Step-by-step explanation:

Given the following question:

7% of 15

To find the answer we need to use the formula to calculate percentages in which we multiply the percentage by the whole number and then divide that answer by 100, of course rounding to the nearest cent if needed.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{7\times15}{100}[/tex]
[tex]7\times15=105[/tex]
[tex]105\div=1.05[/tex]
[tex]=1.05[/tex]

7% of 15 is "1.05" which means Regina receives a $1.05 raise.

Hope this helps.

Combine like terms. 5y - 8 - y

Answers

Question:-Combine like terms. 5y - 8 - y

Answer:-here like terms are 5y,-ysolving like terms5y-y-8(subtracting 5y-y)4y-8

hence the combination=

[tex] \bold {4y - 8}[/tex]

All the best !

Answer:

4(y-8)

Step-by-step explanation:

5y-y (1) = 4y-8

4 (y-8)

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