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3 years ago

For each right triangle below, find the missing side (Pythagorean’s Theorem) and the missing angle (Angle Sum theorem.)

Mathematics

1 answer:

valkas [14]3 years ago

3 0

Answer:

a=21.2

n=√29

Step-by-step explanation:

$90+68.2+a=180$

$a+158.2=180$

$a=21.2$

$2^2+5^2=n^2$

$4+25=n^2$

$n^2=29$

$n=\sqrt{29}$

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The perimeter of parallelogram WXYZ is 2 square roots of 26+ units

lord [1]

The formula for solving perimeter of a parallelogram is P=2(a+b) where "a" is for the altitude and "b" for the base. From the give figure, we can determine both a and b values as enumerated below,
a=5
b=4
We can solve for P as shown below,
P=2(5+4)
P=18 unit.
Therefore, the perimeter is equal to 18.

I hope this helps, have a great day, and God bless.
Brainliest is always appreciated :)

8 0

3 years ago

Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the co

RUDIKE [14]

$3x + 2y = 36.5 \\ 2x + 5y = 50$
$3x + 2y = 36.5 \: \: \: (1)\\ 2x + 5y = 50 (2)\\ 2x = 50 - 5y \\ x = \frac{50 - 5y}{2} \: \: \: \: \: \: \: \: (3) \\ put \: 3 \: into \: 1 \\ 3 \frac{50 - 5y}{2} + 2y = 36.5 \\ \frac{150 - 15y}{2} + 2y = 36.5 \\ 2( \frac{150 - 15y}{2} + 2y) = 2(36.5) \\ 150 - 15y + 4y = 73 \\ 11y = 77 \\ y = 7 \\ 2x + 5(7) = 50 \\ x = 7.5 \\ wage \: working \: in \: coffee \: shop \: is \: higher \: for\: 7.5 \: per \: hour$
the answer is D

4 0

3 years ago

I really need to understand this question! Please answer

mars1129 [50]

Answer:

- 3

Step-by-step explanation:

Using the law of logarithms

$log_{b}$ x = n ⇔ x = $b^{n}$

let $log_{b}$ ( $\frac{1}{b^3}$ ) = n

$log_{b}$ ( $b^{-3}$ ) = n, then

$b^{-3}$ = $b^{n}$

Since bases are the same on both sides then equate the exponents

⇒ n = - 3 → (4)

4 0

3 years ago

Jasmine is converting £200 to euros. The exchange rate is € 1 = 77p. How many euros will she get?

Svetllana [295]

Answer:

Step-by-step explanation:

15,400 euros

4 0

3 years ago

Read 2 more answers

Find the area of each shaded region. give your answer as a completely simplified exact value in terms of pi. (no approximates)

frez [133]

Answer:

52 $\pi$

Step-by-step explanation:

We see that the radius of the big circle is 8m, and we see that the it is also the diameter of the second smallest circle. We also see that this diameter is split into two equal parts, and since the entire length is 8, each part will be 4. So what we need to do is find the area of each circle.

First we can start by finding the area of the smallest circle. The radius of this circle will be 4/2, 2. So the area of this circle will be $\pi$ $r^{2}$ , and in this case 4 $\pi$ .

Then we need to find the area of the bigger shaded portion, which will be the area of the big circle, minus the area of the smaller white circle.

First, lets find the are of the big circle, which again, will be $\pi$ $r^{2}$ . This time, we plug in a radius of 8, and we get 64 $\pi$ .

Next we find the area of the smaller white circle, again $\pi$ $r^{2}$ . We use a radius of 4 this time, giving us an area of 16 $\pi$ .

Now we subtract the two values we found previously to find the area of the just the bigger shaded portion. That value will be 64 $\pi$ -16 $\pi$ , which is 48 $\pi$

We then take 48 $\pi$ , and we add the small shaded portion, which had an area of 4 $\pi$ , and we add them, giving us a total of 52 $\pi$ .

Hope this helped.

4 0

3 years ago