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2 years ago

PLEASE HELP ME WITH NUMBER 1

Mathematics

2 answers:

LenaWriter [7]2 years ago

5 0

hyp*2 = opp*2 + adj*2

c*2 = a*2 + b*2

a*2 + b*2 = c*2

strojnjashka [21]2 years ago

5 0

Answer:

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

Step-by-step explanation:

Pythagorean Theorem

The proof is a little long, but you can check it out here:

https://www.mathsisfun.com/geometry/pythagorean-theorem-proof.html

Math is fun is a pretty useful website to help visualize mathematical concepts, enjoy!

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Solve for x. Round to the nearest tenth.

kondor19780726 [428]

Answer:

22.8

Step-by-step explanation:

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5 0

3 years ago

A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 245 ounces of a mixture

sesenic [268]

Answer:

140 ounces of water and 105 ounces of 35% salt solution.

Explanation:

Let $x$ be the ounces of water that need to be added and $y$ be the ounces of 35% solution that need to to be added.

We know that the total of ounces of water and of 35% solution must be 245 ounces:

$x+y=245$

35% of $x$ is the salt, and since no salt is added with addition of $y$ liters of water, this must be equal to the amount of salt in the final 15% solution:

$0.35x=0.15*245$

we solve for $x$ and get:

$x=105$

We put this value into $x+y=245$ and solve for $y$ to get:

$y=140$

Thus we have 140 ounces of water and 105 ounces of 35% solution.

8 0

3 years ago

Parallelogram FGHJ was dilated and translated to form

Mrrafil [7]

Answer: The required scale factor of the dilation is 4.

Step-by-step explanation: Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.

We are to find the scale factor of the dilation.

From the graph, we note that

JH = 2 units and J'H' = 8 units.

We know that

$\textup{Scale factor of dilation}=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the correponding side of the original figure}}.$

Therefore, the scale factor of the given dilation is

$S=\dfrac{J'H'}{JH}\\\\\\\Rightarrow S=\dfrac{8}{2}\\\\\Rightarrow S=4.$

Thus, the required scale factor of the dilation is 4.

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3 years ago

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Answer:

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Step-by-step explanation:

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Evgesh-ka [11]

Answer:

Step-by-step explanation:

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