If the area of the following figure is 46 square centimeters, what is the height of the trapezoid?

Bottom: 15 cm
Top: 8 cm

Dotted line with a box right before the curve from the top. Which is H.


4 cm
2 cm
5.75 cm
3.1 cm

Answers

Answer 1
Trapezoid is a four-sided figure with unequal bases. Only two of its sides are parallel. Its area is calculated through the equation,
                           A = MH
where A is area, M is median, and H is height. 

Median is calculated by the getting the average of the bases.
                        M = 0.5(b₁ + b₂)
Substituting the given,
                        M = 0.5(15 cm + 8 cm) = 11.5 cm

The equation for the value of H,

                          H = A/M
                          H = 46 cm²/(11.5 cm) = 4 cm

ANSWER: 4 cm
Answer 2

Answer:

4cm

Step-by-step explanation:

Area= 1/2(b1 +b2)(h)

46 = 1/2(8+15)(h)

46 = 1/2(23)(h)

46/11.5=11.5h/11.5

4 = h


Related Questions

Lily is 14 older than her little brother Ezekiel. In 8 years, Lily will be twice as old as Ezekiel will be then. What is Lily and Ezekiel's combined she?

Answers

Lily is 14 in 8 years she will 22. Ezekiel will be 11.

The combined age of  Lily and Ezekiel is 42.

Lily is 14 older than her little brother Ezekiel. In 8 years, Lily will be twice as old as Ezekiel will be then. What is Lily and Ezekiel's combined To be determined.

What is arithmetic?

In mathematics it deals with numbers of operations according to the statements.

Let the age of lily be L and the gare of her brother Ezekiel is E.
Lily is 14 older than her little brother Ezekiel.


L = 14 + E  - - - - - -(1)

In 8 years, Lily will be twice as old as Ezekiel will be then.


L = 2(E)


put L in equation 1.

2E = 14 + E
2E - E = 14
E = 14

Now put E in equation 1

L = 14 + 14
L = 28

Combined age of  Lily and Ezekiel's = 28 + 14
                                                       = 42

Thus, the combined age of  Lily and Ezekiel's is 42.

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Joy Co. allocates overhead expenses to all departments on the basis of floor space (sq. ft.) occupied by each department. This year total overhead expenses were $22,000. Department A. occupied 15,000 sq. ft., Department B. 18,000 sq. ft., and Department C. 9,000 sq. ft. The amount of overhead allocated to Department B is (round to the nearest dollar):

Answers

The ratio between the departments is

A: B: C
15000 : 18000 : 9000
15 : 18 : 9
5 : 6 : 3

The budget needs to be divided into 5+6+3 = 14 parts
The budget for one part is 22000/14

The budget for department B is [tex] \frac{22000}{14}*6=9428.571428 [/tex]
Rounded to the nearest dollar, the budget is $9429

Choose the correct simplification of x to the 2nd power over y to the 5th power all raised to the 4th power. (5 points)

x to the 8th power over y to the 9th power
y12
x12y8
x to the 8th power over y to the 20th power

Answers

[tex]\left( \cfrac{x^2}{y^5}\right)^4 = \cfrac{(x^2)^4}{(y^5)^4} = \cfrac{x^8}{y^{20}} [/tex]

Hilary wants to fill a mini cake pan with batter to make a mini cake for Phillip's party. The cake pan is 4.0 inches long, 9.0 inches wide, and 2.2 inches deep. What is the volume of the cake pan?

Answers

The volume of the cake pan Hilary wants to use is calculated using the formula for the volume of a rectangular prism. With dimensions of 4.0 inches by 9.0 inches by 2.2 inches, the volume is 79.2 cubic inches.

To find the volume of the cake pan that Hilary wants to use for making a mini cake for Phillip's party, we need to use the formula for the volume of a rectangular prism, which is Volume = length × width ×height. Given the dimensions of the cake pan are 4.0 inches long, 9.0 inches wide, and 2.2 inches deep, we can calculate the volume as follows:

Volume = length × width × height

Volume = 4.0 in×  9.0 in  × 2.2 in

Volume = 79.2 in³

Therefore, the volume of the cake pan is 79.2 cubic inches.

5+ 1/7b = -2
whats be and explanation
(don't get it cause its a fraction)

Answers

5+(1/7)b=-2

First subtract 5 from both sides. Our goal is to isolate b.
5+(1/7)b-5= -2-5
(1/7)b= -7

Now multiply both sides by 7 because (1/7)*7= 7/7 or 1.
7* (1/7)b= -7*7
1b= -49

Final answer: b= -49

A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the special character is at the end of the password, how many possibilities are there? a. 175,760

Answers

1st character = 26 possibilities ( 26 letters in the alphabet)

2nd character = 26 possibilities

3rd character = 26 possibilities

4th character = 10 ( 10 special characters)

26 x 26 x 26 x 10 = 175,760 combinations

What is the sum of 2/5 and 2/4

Answers

im pretty sure its 9/10.

Round this number to the nearest 1,000 25,386
Round this number to the nearest 100,000 5,370,288
Round this number to the nearest 10,000 7,298,341
Round this number to the nearest 1,000,000 6,289,002
I know thi is a lot but please pretty pleas this is the hardest one:(

Answers

1. 25,000
2. 5,400,000
3. 7,300,000
4. 6,000,000

Hope this helped :)

The average number of rainy days in Seattle, Washington is listed below: Month January February March April Rainy days 18 16 17 14 If the data was only accurate to the tens place, which month's rainy day total would be different from the others?

Answers

April because all the other ones round to 20 and April's round to 10

Answer: April's rainy days are different from the others.

Step-by-step explanation:

Since we have given that

Months Rainy days

January 18

February 16

March 17

April. 14

When we round the rainy days to nearest tens then we get that

January has 20 rainy days

February has 20 rainy days.

March has 20 rainy days.

But April has 10 rainy days.

So, April's rainy days is different from others.

A regular octagon has side lengths of 11 centimeters. Determine the perimeter of the octagon. 66 cm 77 cm 88 cm 99 cm

Answers

an octagon has 8 sides

 the perimeter would be 8 x length of side

8x11 = 88 cm

Answer:

8*11 = 88 cm

Step-by-step explanation:

simple

Hermina cut a 10" by 15" piece of cardboard down the diagonal

Answers

When you cut along the diagonal, a right triangle is formed where the hypotenuse is the diagonal and the legs are the length and width of the rectangle (10 and 15 in this case)
Now use the pythagorean theorem to solve
10^2+15^2=325=c^2
c= approx 18.02775=length of the diagonal
Final answer:

Hermina can calculate the length of the diagonal on her 10" by 15" rectangle of cardboard by using the Pythagorean theorem. The formula states that the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides, the length and the width. Thus, by inputting the values into the formula, we get a diagonal length of about 18.03".

Explanation:

The question involves calculating the length of the diagonal on a rectangular piece of cardboard. In mathematics, the Pythagorean theorem is used to calculate the length of a diagonal. In this case, the length and width of the rectangle are given as 10" and 15" respectively. We can apply the theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The diagonal here acts as the hypotenuse, with the other two sides being the length and width of the rectangle. Therefore, the length of the diagonal is the square root of the sum of squares of these sides, which would be sqrt(10^2 + 15^2), resulting in approximately 18.03".

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Write 12c+10 as an equivalent expression with one term

Answers

Writing 12c+10 as an equivalent expression with one term is the same as factorizing 12c+ 10

We need to take the common factor of '12c' and '10', which is '2' [both terms are divisible by 2]

Rewriting the expression after taking out the common factor:

2(6c+5)

Which is an equivalent expression with one term

An elephant can run one over four mile in 36 seconds. Which of the following correctly shows this rate as miles per hour?

thirty-six seconds over one-fourth mile = 25 miles per hour
one-fourth mile over thirty-six seconds = 144 miles per hour
one-fourth mile over thirty-six seconds = 25 miles per hour
thirty-six seconds over one-fourth mile = 144 miles per hour

Answers

It would be thirty six seconds over one-fourth mile= 144 miles per hour

Answer:

The answer is 1/4 mile over 36 seconds = 24 miles per hour

Step-by-step explanation: I hope this helps :)

How can you use the number line in picture it to figure out how many miles Tim travels from home to school

Answers

Take a picture of the problem and if it show as a number line too depending on what it shows I will be able to answer your question

I need help with this math problem _:5=72:30
i need to fill in the blank

Answers

30/5 = 6

72/6 = 12

your blank is 12

12:5 = 72:30

hope this helps

the area of a circle of radius 10 units is equal to the surface area of a sphere of radius 5 units. True or false?

Answers

the answer is true to this questions

I think its true but not sure.

Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long will it take them if they worked together?

Explain too please, thanks.

Answers


.
Rates:
Ryan: 1 hole per 5 hours
Castel: 1 hole per 6 hours
.
Let x = time if working together
then
x(1/5 + 1/6) = 1
x(6 + 5) = 30
11x = 30
x = 30/11
x = 2.7273 hours
or
x = 2 hours and 44 minutes
x/5+x/6=1
6x+5x=30
11x=30
x=30/11
x=2 8/30 =2 8/30 hours
8/30 hr=16 minutes

2 hours 16 minutes.
Hope this helped.



PLZ Help
The tables show the cost of different numbers of t-shirts ordered at two different stores, Store A and Store B:

Store A

Number
of T-shirts Cost (in $)
2 $6
4 $12
8 $24


Store B

Number
of T-shirts Cost (in $)
3 $12
6 $24
9 $36


Which of these explains which store has a better buy?

Store A, because the ratio of the number to the cost is 3:1 in Store A and 4:1 in Store B

Store B, because the ratio of the number to the cost is 2:8 in Store A and 3:15 in Store B

Store B, because the ratio of the number to the cost is 8:2 in Store A and 15:3 in Store B

Store A, because the ratio of the number to the cost is 1:3 in Store A and 1:4 in Store B

Answers

Store A, because the ratio of the number to the cost is 1:3 in Store A and 1:4 in Store B

Answer:

The last one.

Step-by-step explanation:

I tried it and got it right. Bye. If it helped please let me know. Also if u need anymore help try reaching out to me.

What is the verbal expression of 23f

Answers

When a number and letter are together, it means multiplication.

So, it is read as "23 times f".

NEED HELP FAST!
3.
(08.01 MC)
The graph shows two lines, A and B:



Based on the graph, which statement is correct about the solution to the system of equations for lines A and B? (1 point)


(3, 4) is the solution to both lines A and B.

(3, 4) is the solution to line A but not to line B.

(0, 2) is the solution to both lines A and B.

(0, 2) is the solution to line A but not to line B.

Answers

both lines intersect at (3,4)
so answer


(3, 4) is the solution to both lines A and B

Answer:

(3,4) For both

Both lines meet up at that point. X is the thicker ones in the middle going across the graph while y is upward.

(x,y)

In the polynomial below, what number should replace the question mark to produce a difference of squares?

Answers

A polynomial is an algebraic equation that consists of more than one term. Otherwise, it is called a monomial. The technique in producing a difference of the squares is completing of the squares method. For a quadratic formula with a general form of ax2 + bx + c = 0, you can determine c such that the formula could be factored into two monomials. The equation would be (b/2)^2.

For example, if the equation is x^2 + 2x+ __ = 0, c is solved as follows:

c = (2/2)^2 = 1

The equation would be x^2 + 2x +1 = 0. When you simplify and factor it out, the equation would become (x+1)^2 = 0.

a fellow classmate tosses 4 coins and finds that 3 of them come up tails. Which of the following is the best conclusion for her to come to?
A. She needs to keep flipping the coins until she gets a 50% in heads to determine if they are fair.
B. The coins are unfair
C. This could easily happen with a fair coin after only 4 flips
D. If she flips the coins one more, they will all come up heads

Answers

C. this could easily happen with a fair coin after only 4 flips 

Answer:

Option C -This could easily happen with a fair coin after only 4 flips.

Step-by-step explanation:

Given : A fellow classmate tosses 4 coins and finds that 3 of them come up tails.

To find : Which of the following is the best conclusion for her to come to?        

Solution :

According to statement,

A fellow classmate tosses 4 coins and finds that 3 of them come up tails.

This could be happen when coin is tossed or flip 4 times and the coin must be fair.

As when we flip 4 coins the possible outcomes were

HHHH     THHH      HTHH      TTHH

HHHT      THHT      HTHT      TTHT

HHTH      THTH      HTTH      TTTH

HHTT      THTT       HTTT       TTTT

So, The best conclusion for her is Option C

This could easily happen with a fair coin after only 4 flips.

A figure has a vertex at (-1, -3). If the figure has line symmetry about the y-axis, what are the coordinates of another vertex of the figure?

A) (-3, -1)

B) (3, 1)

C) (1, -3)

D) (-1, 3)

Answers

Its (1,-3) simply reflect it above the y-axis, if one vertex is on the negative side and the symmetry if about the y axis (y=0) therefore the reflection means the x value becomes inverse -1 changes to 1 and -3 remains the same 

Answer:

(1,-3)

Step-by-step explanation:

A figure has a vertex at (-1, -3). If the figure has line symmetry about the y-axis, find the coordinates

When a vertex is reflected over y axis then the value of y remains the same , the x value becomes -x

for (x,y) reflected over line symmetry y axis

(x,y) becomes (-x,y)

So the vertex (-1,-3) becomes (1,-3)

Multiply (2.4 ⋅ 1014) ⋅ (4 ⋅ 107). Express the answer in scientific notation. 9.6 ⋅ 1021 9.6 ⋅ 1022 96 ⋅ 1021 96 ⋅ 1022

Answers

its either 9.6 x 1021 or 9.6x1022
hope this helps

Answer:

9.6 × [tex]10^{21} )[/tex].

Step-by-step explanation:

Given : Multiply [tex](2.4 * 10^{14} ) * ( 4 *10^{7} )[/tex].

To find :  Express the answer in scientific notation.

Solution : We have given that

[tex](2.4 * 10^{14} ) * ( 4 *10^{7} )[/tex].

Combine the like terms

(2.4 * 4 )( [tex](10^{14} ) (10^{7} )[/tex].

By the exponent same base rule : if the base of two exponent are same then exponent will be add.

9.6 × [tex]10^{14 + 7} )[/tex].

9.6 × [tex]10^{21} )[/tex].

Therefore, 9.6 × [tex]10^{21} )[/tex].

b(n)=4−6(n−1) Find the 4th term in the sequence.

Answers

I think it is -14. I inserted 4 as n. I don't know if that's how you do it.

Answer:

-14

Step-by-step explanation:

answer on khan

What is the solution to this system of equations?

Answers

I believe it is (.5, 5.2)

identify the following probability as theoretical or empirical. After tossing the same coin 10 times, you are surprised to find that tails has come up 8 times. You therefore conclude that this coin is not fair and that the probability of getting tails with this coin is 0.80. A. Empirical B. Theoretical

Answers

Answer:

A. Empirical

Step-by-step explanation:

Theoretical probability is defined as a probability which is based on reasoning. This is written in a ratio form - of the number of favorable outcomes to the number of possible outcomes.

And the empirical probability gives an estimation of an event occurring based on how often that event occurred after collecting the data from large number of trials.

So, based on the definitions, the given scenario is empirical or experimental probability.

How do you add subtract multiply and divide complex numbers and polynomials

Answers

A complex number is the sum (or difference) of two parts: real and imaginary.To add or subtract two complex numbers, need to add\subtract separately the real part and imaginary separately. In the end, you will receive the imaginary and real part of the result. 

More difficult to divide complex numbers. 1. We must find the complex conjugate of the denominator 2. Then, we must multiply the numerator and denominator by that conjugate and simplify the expression.The complex conjugate have the part equal to given, and the imaginary part is opposite to given.

To multiply complex numbers, we must multiply it like the two expressions in brackets, and simplify the result.

Addition subtraction and multiplication of polynomials is also made as expressions in parentheses between them. During the operation it is necessary to cause such members.To divide the polynomial by the polynomial you need to record them so as if you divide the numbers in a column, and perform the division by the same rules. 

Final answer:

To operate on complex numbers, add or subtract real and imaginary parts separately, multiply using the distributive property, and divide by multiplying by the conjugate of the denominator. Polynomial operations similarly involve combining like terms, using the distributive property, and performing long or synthetic division.

Explanation:

Adding, Subtracting, Multiplying, and Dividing Complex Numbers and Polynomials

To add complex numbers, combine the real parts and the imaginary parts separately. For example, (3 + 2i) + (1 + 4i) = (3 + 1) + (2i + 4i) = 4 + 6i. For subtracting complex numbers, similarly subtract the real and imaginary parts: (3 + 2i) - (1 + 4i) = (3 - 1) + (2i - 4i) = 2 - 2i.

To multiply complex numbers, use the distributive property (FOIL), and remember that i² = -1. For instance, (3 + 2i)(1 + 4i) = 3 + 12i + 2i + 8i² = 3 + 14i - 8 = -5 + 14i.

For dividing complex numbers, multiply the numerator and the denominator by the conjugate of the denominator to rationalize it. For example, (3 + 2i) ÷ (1 + 4i), multiply numerator and denominator by (1 - 4i) to get [(3 + 2i)(1 - 4i)] ÷ [(1 + 4i)(1 - 4i)] = (3 - 12i + 2i - 8i²) ÷ (1 - 16i²) = (11 - 10i) ÷ 17 = (11÷ 17) - (10i÷ 17).

Polynomial operations are similar, but instead of imaginary units, we work with variables. For adding polynomials, combine like terms. For subtracting polynomials, change the sign of each term in the polynomial being subtracted and combine like terms. Multiplying polynomials also requires the distributive property, and for division, you can use either long division or synthetic division depending on the polynomials involved.

Can someone please help me? person who helps gets brainly

−5r+8r+5

Answers

-5r+8r=3r then you add the 5 to the 3r because you cannot add them if it does both have the r. the answer is 3r+5
-5r + 8r + 5

We must combine like terms.

That basically just means that we add anything that has any like variables :)

In this case, our like terms are the variable "r."

So, we must add -5r to 8r

Think of this as if there were no "r" in there.

So, it looks like this : -5 + 8

What's -5 + 8?

It's 3! So, now we just need to add an 'r' after the 3.

So, -5r + 8r = 3r

Since we have no more like terms, our answer is :

3r + 5

~Hope I helped!~

Olga saves $15 from every paycheck to save up for a new game system that cost $399. Currently, she has $360 saved. Ignoring the purchase, how many more paychecks does she have until she has enough money saved to buy the game system

Answers

Game system price = $ 399
Saved so far  =        - $ 360
          Balance         -----------
                               $  39 divided by amount saved each paycheck
                                 -------
                                   15
# paychecks 2.6  3 paychecks
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