how to write 24b^{2}+96b into a equivalent expression

Answer:

x = 24

Step-by-step explanation:

A 45- 45- 90 triangle is isosceles ( base angles congruent )

The the legs are congruent , both 12[tex]\sqrt{2}[/tex]

Using Pythagoras' identity in the right triangle , then

x² = (12[tex]\sqrt{2}[/tex] )² + (12[tex]\sqrt{2}[/tex] )² = 288 + 288 = 576 ( take square root of both sides )

x = [tex]\sqrt{576}[/tex] = 24

The value of x in the given triangle is 24 units.

The Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given that, a 45-45-90 triangle with a leg of length 12 times the square root of 2 and hypotenuse of length x

Let the triangle be ABC, right-angled at B,

Using the Pythagoras theorem, we get,

AB²+BC² = AC²

(12√2)²+(12√2)² = x²

288+288 = x²

x² = 576

x = √576

x = 24

Hence, the length of the hypotenuse is 24 units.

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The equivalent fraction will be;

⇒ 11/27

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The number is,

⇒ 0.407

Now,

Since, The number is,

⇒ 0.407

Hence, The equivalent fraction will be;

⇒ 407/1000 = 0.407

And, By option B;

⇒ 11/27 = 0.407

Thus, The equivalent fraction will be;

⇒ 11/27

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Answer:

8x + 1

Step-by-step explanation:

Hope this Helps!

Answer:

Exact Form:

72/5

Decimal Form:

14.4

Mixed Number Form:

14 2/5

Step-by-step explanation:

yea thats what i got

Answer:

127.24

Step-by-step explanation:

A= 3.14(pie) r^2

A=3.14(pie) 9^2

A=254.47 ÷2

A= 127.24

Answer: In a 30-60-90  triangle the side opposite the 30 degree angle is half the length of the hypotenuse. The shorter leg is the side opposite the 30 degree angle, therefore the shorter leg = 30/2 = 15

By the Pythagorean theorem

the longer leg = √(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units

By using the distributive property, the equivalent expression would be 15x + 30.

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

By applying distributive property

15(x + 2)

= (15 × x) + (15 × 2)

= 15x + 30

Thus, The equivalent expression would be 15x + 30

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The expression equivalent to 15(x + 2) is 15x + 30

Using the distributive property, we can expand the expression 15(x + 2) as follows:

Multiply 15 by each term inside the parentheses:

15 * x + 15 * 2

Simplify each multiplication:

15x + 30

Therefore, the expression equivalent to 15(x + 2) is 15x + 30. The distributive property allows us to distribute the factor (15) to each term inside the parentheses and then combine the resulting terms to obtain the simplified expression.

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Answer:

SAS congruence postulate

Step-by-step explanation:

It is given that two sides are congruent and one included angle is also congruent, this is enough to use the SAS congruence postulate and prove the triangles congruent.

Hope this helps

Please mark brainliest ;)

Answer:

A.  Infinite

B.  One

C.  None

D.  None

See attachment.

Answer:

12

Step-by-step explanation:

If she's only selecting one candy, then you simply need to count how many candies there are.

Answer:

12 are the possible outcomes

Step-by-step explanation:

because probability is a game of chance

possible outcomes/ total outcomes

rainfall in mm

Step-by-step explanation:

we cant count water in inches

The probability that the family has 0 teenagers who own an Apple device is 44.44%, the probability that it has 1 is 44.44% and the probability that it has 2 is 11.11%.

Given that in Hypothetical Town, the probability that a teenager in a household has an Android device is 0.67 and the probability that a teenager in a household owns an Apple device is 0.33, to determine, if a family has two teenagers, the probability that the family has 0, 1, or 2 teenagers who own an Apple device, the following calculation must be performed:

Therefore, the probability that the family has 0 teenagers who own an Apple device is 44.44%, the probability that it has 1 is 44.44% and the probability that it has 2 is 11.11%.

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Answer:

12/7=Big/Small

Step-by-step explanation:

A side in the smaller square is 7. A side in the bigger square is 12. That means the bigger side compared to the smaller side will be 12:7. That's the definition of a scale factor.

so the total number is 60, and we can just divide it by (3+9) and then distribute accordingly.

[tex]\stackrel{ratio~3:9}{60}\qquad \qquad 3\cdot \frac{60}{3+9}~~ :~~9\cdot \frac{60}{3+9}\implies 3\cdot \frac{60}{12}~~ :~~9\cdot \frac{60}{12} \\\\\\ 3(5)~~ : ~~9(5)\implies 15~~:~~45[/tex]

Answer:

answer is B

Step-by-step explanation:

trust me I took this quiz already

Answer:

t=11/6

u=1/9

Step-by-step explanation:

Answer:

Infinitely many

Step-by-step explanation:

[tex]-2m-2m=-4m[/tex]

Combine −2m and −2m to get −4m.

[tex]-4m=-4m[/tex]

Add 4m to both sides.

[tex]-4m+4m=0[/tex]

Combine −4m and 4m to get 0.

0=0

Compare 0 and 0.

True

This is true for any m.

m∈R\

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Answer:

[tex] \frac{6}{30} = \frac{x}{100} [/tex]

[tex]30(x) = 100(6)[/tex]

[tex]30 \times x = 100 \times 6[/tex]

[tex]30x = 600[/tex]

[tex]x = \frac{60 \cancel0}{3 \cancel0} [/tex]

[tex]x = \cancel \frac{60}{3} \: {}^{20} [/tex]

[tex]x = 20[/tex]

Answer:

I think is C. If not i'm sorry.

Answer:

The volume of the figure is 51.66 in3

Step-by-step explanation:

sol;

volume of prism=area of trangular base * length of prism

                          =1/2*b*p*7.2

                          =1/2*4.1*3.5*7.2

                          =51.66 in3

Answer:

Explanation:

To find the area of the triangle, we must multiply 1/2 x base x altitude to get the answer. But first, we need to simplify the height. We are given the base and the altitude.

Solution:

Hence, the area of the triangle is 27x³ + 27x² - 4 meters².

Answer: .......

ok done. Thank to me :>

Answer:

A: Y = X + 2.5

B: 10

Step-by-step explanation:

A: To form the equation you have to use one of the numbers in X (U.k Size) for this example we'll use 3 and to form the equation you have to see how much to add to X ( UK size) to get Y ( US size) and in this case it's +2.5

B: You can use the equation we just formed to get this answer by adding 2.5 to 7.5 which will give you 10

Answer:

2$

Step-by-step explanation:

10$ - 80%=2$

The sale price is 2$.

Answer:

7√10

Step-by-step explanation:

√14 × √35 = √(14 × 35) = √(2 × 7 × 5 × 7) = √(49 × 10) = 7√10

Answer:

Step-by-step explanation:

1) Experiment - any activity that has two or more outcomes

2) Complementary events - two disjoint events of which one or the other must occur

3) Event - a specific outcome or group of outcomes

4) Disjoint events - events that have no outcomes in common

Answer:

2

Step-by-step explanation:

Look at the picture. That's the probability tree for this question. Since you replace the marble, the second branch will only have 4 outcomes

(4/5)*(3/4)=(3/5)

Look at the second picture. That's what'll happen if you do replace the marble and it'll have 5 outcomes

(4/5)*(4/5)=16/25

If you make the denominators the same, itll be 15/25 if you replace the marble

And 16/25 if you don't replace the marble

Since 16/25 > 15/25, it'll be higher if you don't replace the first marble.

:))

Answer:

The coefficient of q is 7

Step-by-step explanation:

The two expressions are

(23q – 34) and (–16q – r)

and .

(–16q – r)

The sum of the two expressions is

23q - 34 + -16q - r

When we group like terms the expression will be,

=23q - 16q - r - 34

When we  simplify the expression will now be

=7q - r - 34

The coefficient of q is the constant behind q in the expression.

The coefficient of q is therefore 7.