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tiny-mole [99]
4 years ago
14

Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?

Mathematics
2 answers:
Kruka [31]4 years ago
4 0

Answer: \sqrt{32}

Step-by-step explanation:

Assuming the described expression is:

(2^{\frac{1}{2}} 2^{\frac{3}{4}})^{2}

Since we have the same base, we can add the exponents:

(2^{\frac{5}{4}})^{2}

Multiplying the exponents:

2^{\frac{10}{4}}

Simplifying the fraction in the exponent:

2^{\frac{5}{2}}=\sqrt{2^{5}}

Finally the expression is equivalent to:

\sqrt{32}

yan [13]4 years ago
3 0

Answer:

4  (3  1/2 )

its C

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15 points!!!<br>kinda rusty with triangles. scratch that. really rusty.<br><br>​
velikii [3]

Consider the attached figure. The height CD cuts the triangle exactly in half. This means that

\overline{AD}=\overline{BD}=\dfrac{1}{2}\overline{AB}=10

Moreover, since CD is the height of the triangle, we know that ACD is a right triangle. We know the hypothenuse AC to be 20 feet because it is a side of the triangle, and we just found out that AD is 10. We can use the pythagorean theorem to deduce

\overline{CD}=\sqrt{\overline{AC}^2-\overline{AD}^2}=\sqrt{400-100}=\sqrt{300}

So, the area is

A=\dfrac{bh}{2}=\dfrac{\overline{AB}\cdot\overline{CD}}{2} = \dfrac{20\cdot\sqrt{300}}{2}=10\sqrt{300}\approx 173

3 0
3 years ago
Read 2 more answers
Ginny's piggybank contained $8.80 in quarters, dimes, and nickels. there were two more than five times as many nickels as quarte
SSSSS [86.1K]

Answer:

There are 13 quarters, 67 nickels, and 22 dimes.


Step-by-step explanation:

The value of a quarter is $0.25, the value of dime is $0.10, and the value of a nickel is $0.05. Let there be q quarters, n nickels, and d dimes.

Let's write equations from the statements given:


<u>"Ginny's piggybank contained $8.80 in quarters, dimes, and nickels.":</u>

0.25q+0.1d+0.05n=8.80

<u>"there were two more than five times as many nickels as quarters":</u>

5q+2=n

<u>"4 less than twice as many dimes as quarters":</u>

<u>2q-4=d</u>


Plugging in equation 2 and 3 into equation 1, we can solve for q:

0.25q+0.1(2q-4)+0.05(5q+2)=8.80\\0.25q+0.2q-0.4+0.25q+0.1=8.80\\0.7q=8.80+0.4-0.1\\0.7q=9.1\\q=\frac{9.1}{0.7}=13

<em>Substituting q = 13 into equation 2 will give us nickels:</em>

n=5q+2\\n=5(13)+2\\n=67

<em>Substituting q = 13 into equation 3 will give us dimes:</em>

d=2q-4\\d=2(13)-4\\d=22


There are 13 quarters, 67 nickels, and 22 dimes.

4 0
3 years ago
Kayla is A high school basketball player. In a particular game, she made some two point shots and some three point shots. Kayla
Mrrafil [7]

Answer:

she made 5 two point shots and 4 three point shots

Step-by-step explanation:

5 x 2 = 10 and 4 x 3 = 12. 10 + 12 = 22

4 0
4 years ago
Read 2 more answers
To meet your goal for selling raffle tickets, you must meet the inequality t ≥ 15. If you sold 16 tickets, did you reach your go
Softa [21]
Yes because 16 is greater than 15 and it has to be greater or equal to 15
3 0
3 years ago
Its all in the picture v
valentina_108 [34]
Lynn’s answer was correct

F(x) = -2x^2 +32
F(3) =-2(3)^2 +32
F(3)=-2(9)+32
F(3) =-18+32
F(3) = 14
X=14
7 0
3 years ago
Read 2 more answers
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