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2 years ago

What are two whole numbers the square root of 96 lies between ?

Mathematics

1 answer:

Grace [21]2 years ago

6 0

The two whole numbers of the square root of 96 lies between is 9 an 10

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Which side lengths form a right triangle? Choose all answers that apply: Choose all answers that apply: (Choice A) A 3, 6, \sqrt

dlinn [17]

Answer:

A, B and C

Step-by-step explanation:

Given any three side lengths of a right triangle, the longest side is the hypotenuse.

The side lengths of a right triangle must satisfy the Pythagorean Theorem.

Pythagorean Theorem: $Hypotenuse^2=Opposite^2+Adjacent^2$

Option A: $3, 6, \sqrt{45}$

$(\sqrt{45})^2=3^2+6^2\\45=36+9\\45=45$

True

Option B: 2.5, 6, 6.5

$6.5^2=6^2+2.5^2\\42.25=36+6.25\\42.25=42.25 (TRUE)$

Option C: $4, 8, \sqrt{80}$

$4, 8, \sqrt{80}\\( \sqrt{80})^2=4^2+8^2\\80=16+64\\80=80 (TRUE)$

Since all are true, the side lengths in Options A, B and C forms a right triangle,

4 0

2 years ago

50+51+52+...+101=... Can you help me? I do not understand

Dmitriy789 [7]

Suppose

$S=50+51+52+\cdots+100+101$

At the same time, we can write

$S^*=101+100+99+\cdots+51+50$

Note that $S=S^*$ (just reverse the sum). Let's pair the first terms of $S$ and $S^*$ , and the second, and the third, and so on:

$S+S^*=(50+101)+(51+100)+(52+99)+\cdots+(100+51)+(101+50)$

Now, each grouped term in the sum on the right side adds to 151. There are 52 grouped terms on that same side (because there are 50 numbers in the range of integers 51-100, plus 50 and 101), which menas

$S+S^*=52\cdot151$

But $S=S^*$ , as we pointed out, so

$2S=52\cdot151\implies S=\dfrac{52\cdot151}2=3926$

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2 years ago

Please help. Which polynomial represents the quotient for the division problem shown?

NARA [144]

Answer:

Step-by-step explanation:

Just got it on apex

8 0

2 years ago

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The average of the weights of six people sitting in a boar is 145 pounds. After a seventh person gets into the boat, the average

Tems11 [23]

Weight : 

⇒ x for 6 people
⇒ y for the 7th person

$x/6=145 \\ (x+y)/6=147 \\ \\ x=145*6 \\ x=870 \\ \\ x+y=1029 \\ \\ 870+y=1029 \\ y=1029-870 \\ y=159$

The correct answer is B).

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2 years ago

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You do mot have to exsplain the answer i just wat the correct answer no links please

Elenna [48]

Answer:

144

Step-by-step explanation:

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2 years ago