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3 years ago

Explain why the bases of a trapezoid need to be added in the formula. PLZZZZ HELP

Mathematics

1 answer:

Kazeer [188]3 years ago

8 0

Answer:

Step-by-step explanation:

Because if you put together two trapezoids, one in a reversed position, you get a paralelogram. There the side of the parallelogram is the sum of the trapezoid bases, as in the picture.

The are of paralelogram is: A=(b+B)×h

For trapezoid, half of parallelogram:

A1=A/2=(b+B)×h/2

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Ann, Chang, and Kareem sent a total of

Gnoma [55]

It is given in the question that

Ann, Chang, and Kareem sent a total of 89 text messages over their cell phones during the weekend. Ann sent 9 fewer messages than Chang. Kareem sent 3 times as many messages as Ann.

Let number of messages Chang sent be x. And Ann sent 9 fewer than Chang, so Ann sent (x-9) messages. And Kareem sent 3 times as many messages as Ann, so Kareem sent 3(x-9) messages.

And the total messages are 89. That is

$x+x-9+3(x-9)=89$

Combining like terms

$x + x - 9 + 3x-27 =89
\\
5x -36=89
\\
5x = 125
\\
x =25$

So Chang sent 25 messages, Ann sent

$25-9=16 messages$

And Kareem sent

$3*16 = 48 messages$

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3 years ago

Jessica is trying to win this game of pool. She needs to hit the cue ball (white ball) 10 in. into the yellow ball so it will tr

ivann1987 [24]

The distance that the yellow ball must travel after hitting the back wall to land in the pocket must be 45 inches.

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8 0

3 years ago

Read 2 more answers

Which of the following shows the extraneous solution to the logarithmic equation below? log Subscript 3 Baseline (18 x cubed) mi

makvit [3.9K]

The extraneous solution of the logarithmic problem $\rm log_3(18x^3)-log_3(2x) = log_3 144$ is -4.

<h3>What is Logarithm?</h3>

A log function is a way to find how much a number must be raised in order to get the desired number.

$a^c =b$

can be written as

$\rm{log_ab=c$

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Solving the function using the basic logarithmic value, we get,

$\rm log_3(18x^3)-log_3(2x) = log_3 144\\\\ log_3\dfrac{(18x^3)}{(2x)} = log_3 144\\\\ log_3(9x^2)= log_3 144\\\\\text{Taking antilog}\\9x^2 = 144\\x = \sqrt{\dfrac{144}{9}}$

If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.

Hence, x=-4 is an extraneous solution.

Learn more about Logarithms:

brainly.com/question/7302008

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2 years ago

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Whose method can be used to verify the distributive property was correctly applied expression

kupik [55]

Answer:
D: Rhodas method

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3 years ago

Beatrice has $0.28 in her pocket, what percent of a dollar does Beatrice have?