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3 years ago

Which set of numbers could represent the lengths of the sides of a right triangle?

Mathematics

1 answer:

MatroZZZ [7]3 years ago

7 0

Answer:

number 4: 8, 15,17

Step-by-step explanation:

This is all just the theorem that a^2+b^2=c^2 so I tried that for all of them and number 4 is the only one that ends as a whole number. Sorry, that wasn't the best explanation but I hope you understood. Just try the theorem on each one like 4(2^2)+9(3^2) doesn't equal 16(4^2)

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valentina_108 [34]

I believe the answer is 9.8

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3 years ago

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Determine the projection of w onto u.

irina [24]

Answer:

A.6.2i-4.2 j

Step-by-step explanation:

We are given that

$u=9i-6j$

$v=-3i-2j$

$w=19i+15j$

We have to find the projection of w on to u.

The project of vector a on b

= $\frac{a\cdot b}{\mid b\mid^2}b$

$w.u=(19i+15j)\cdot (9i-6j)=171-90=81$

$\mid u\mid=\sqrt{x^2+y^2}=\sqrt{9^2+(-6)^2}=\sqrt{117}$

Using the formula

The projection of w on to u

$=\frac{u\cdot w}{\mid u\mid^2}(u)=\frac{81}{117}(9i-6j)$

The projection of w on to u=6.2i-4.2j

Hence, option A is true.

4 0

3 years ago

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Find the slope and y-intercept of each equation<br><br>y = x - 3<br>m = ?<br>b = ?

barxatty [35]

Answer:

m = 1

b= -3

Step-by-step explanation:

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3 years ago

Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions are to use 34.5 inches

nevsk [136]

Answer: There are 6 sections of $8\frac{1}{4}\ inches$ of rope Mario can cut from the rope .

Step-by-step explanation:

Since we have given that

Length of the rope for the tent = 7 feet

As we know that

$1\ feet=12\ inches\\\\7\ feet=12\times 7=84\ inches$

Length of rope is used to tie a tarp on top of the tent = 34.5 inches

Remaining length of rope is given by

$84-34.5=49.5\ inches$

According to question, the remaining rope should be cut into

$8\frac{1}{4}\ inches\\\\=\frac{33}{4}\ inches$

So, Number of $8\frac{1}{4}\ inches$ sections of rope Mario can cut from the rope is given by

$\frac{49.5}{8\frac{1}{4}}\\\\=\frac{49.5}{\frac{33}{4}}\\\\=\frac{49.5\times 4}{33}\\\\=6$

Hence, there are 6 sections of $8\frac{1}{4}\ inches$ rope Mario can cut from the rope .

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3 years ago

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What is 81/3 minus 65/6

Ugo [173]

8 1/3-6 5/6
convert both into an improper fraction
8 1/3=25/3
6 5/6=41/6
convert 25/3 to a fraction with a base of 6: 50/6
50/6-41/6=9/6
9/6 simplifies into 3/2

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3 years ago

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