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3 years ago

Karen was trying to factor 6x^2+10 She found that the greatest common factor of these terms was 2 and made an area model

Mathematics

1 answer:

Kay [80]3 years ago

4 0

<h2>Explanation:</h2><h2></h2>

In this case we have the following expression:

$6x^2+10$

We know that Karen was trying to factor out this and she found that the greatest common factor of these terms was 2, in other words we can write this expression as:

$2(3x^2+5)$

An area model for this expression could be the area of a rectangle that has the following dimensions:

$W=2 \\ \\ L=3x^2+5 \\ \\ \\ Where: \\ \\ W:width \\ \\ L:length$

So the area model can be written as:

$A=W\times L \\ \\ \boxed{A=2(3x^2+5)}$

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Given you or a person holding a kite string 100 feet long write and draw what the height or altitude the kite is off the ground

Salsk061 [2.6K]

Answer: $75.47\ ft$

Step-by-step explanation:

Given

String of the kite is $l=100\ ft$

Angle of elevation $\theta=49^{\circ}$

suppose altitude of the kite is h

from the figure, we can write

$\Rightarrow \sin 49^{\circ}=\dfrac{h}{100}\\\\\Rightarrow h=100\sin 49^{\circ}\\\\\Rightarrow h=75.47\ ft$

Thus, the altitude of the kite is $75.47\ ft$

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2 years ago

Sammy counts the number of people in one section of the school auditorium. He counts 18 female students, 16 male students, and 6

Rzqust [24]

Correct Question:

He counts 18 female students, 16 male students, and 6 teachers. There are

720 people in the auditorium. Consider the probability of selecting one person

at random from the auditorium.

Which of these statements are true?

Choose all that apply.

A: The probability of selecting a teacher is 6%.

B : The probability of selecting a student is 85%.

C : The probability of selecting a male student is 32%.

D : The probability of selecting a female student is 45%.

Step-by-step explanation:

Option B and D are correct because

The total number of people in one cross section = 18 + 16 + 6 = 40.

A = The probability of selecting a teacher is = (6/40)x100 = 15 % not equal to 6 %

B = The probability of selecting a male student is = (34/40)x100 = 85%

C = The probability of selecting a male student is = (16/40)x100 = 40 % not equal to 32 %

D : The probability of selecting a female student is = (18/40)x100= 45%

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2 years ago

an item is regularly priced at 60$ Carmen bought it at a discount of "70 %" off the regular price. How much did carmen play?

densk [106]

Your answer will be 10 dollars.

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1 year ago

Andrew needs a ladder to hang hoilday lights. His house is 24ft tall and he has a flower bef that extends 4 ft out from the side

elena-14-01-66 [18.8K]

Answer: $24.33\ ft$

Step-by-step explanation:

You need to draw a Right triangle as the one attached, where "x" is the lenght of a ladder Andrew will need to reach the top and be out of the flower bed.

You must apply the Pythagorean Theorem. This is:

$a^2=b^2+c^2$