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3 years ago

Find the missing side lengths. Leave your answer as radicals in simplest form.

Mathematics

1 answer:

Ronch [10]3 years ago

7 0

Answer:

Hence x = y = 2

Step-by-step explanation:

Using the SOH CAH TOA identity

Hypotenuse = 2√2

Opposite = x

theta = 45

Sin theta = opp/hyp

Sin 45 =x/2√2

1/√2 = x/2√2

x = 2√2 * 1/√2

x = 2

To get y we will use the pythagoras theorem;

(2√2)² = x² +y²

(2√2)² = 2²+y²

8 = 4 + y²

y² = 8-4

y² = 4

y = √4

y = 2

Hence x = y = 2

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Let r vary directly with s and inversely with t. Which equation represents this equation? Assume that a is a constant.

andrew11 [14]

$\bf \qquad \qquad \textit{combined variation}
\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\stackrel{\textit{\underline{r} varies directly with \underline{s} and inversely with \underline{t}}}{r=\cfrac{ks}{t}\qquad \textit{ and since a = k}\qquad r=\cfrac{as}{t}}$

7 0

3 years ago

Please help!!!

Kay [80]

Answer:3.125

Step-by-step explanation: You have to divide 28 by 8

8 0

3 years ago

Greg drove at a constant speed in a rainstorm for 300 miles. He took a break, and then stopped. He then drove 114 miles at a spe

swat32

Answer:

calculate it. its not cheating, its like flash cards but better ;)

Step-by-step explanation:

7 0

3 years ago

(4 - x ≤ -1) ∩ (2 + 3x ≥ 17)

DaniilM [7]

Step-by-step answer:

Given:

two inequalities:

4-x <= -1 ........................(1)

2+3x >= 17......................(2)

Required: find the solution of the intersection of inequalities.

Solution:

Solution to (1):

4-x <= -1 transpose

4+1 <=x simplify

5 <= x rewrite

x >= 5

Solution to (2)

2+3x >= 17

3x >= 17-2

3x >= 15

x >= 5

The intersection of the two solutions x>=5 and x>=5 is therefore x>=5

Check:

x=4, => 4-4 = 0 >1 so not a solution

x=4, => 2+3(4) = 14 < 17 so not a solution

x=5, => 4-5 = -1 so a solution

x=5, => 2+3(5) = 17, so a solution.

similarly for 6, 7, ....

3 0

3 years ago

A painting contractor paints with a brush at a rate of 192 square feet per hour. using a paint sprayer, she is able to cover 576

lara31 [8.8K]

Hi there,

2400 + 1632 = 4032

3 * 192 = 576

4032 - 576 =>

3532 - 76 =>

3532 + 24 - 76 - 24

3556 - 100

3456

3456 / 576 => 6

Therefore, 6 hours of sprayer work

Hope this helps!

Sincerely,

Dus4nR

5 0

3 years ago