All categories

3 years ago

Try this please if you can. Thanks!

Mathematics

1 answer:

DerKrebs [107]3 years ago

4 0

<h3>Answer:</h3>

PR ≈ 14.50

<h3>Step-by-step explanation:</h3>

Since ∠Q is a right angle, the area can be found from ...

... A = (1/2)bh = (1/2)(QP)(PR)

From trigonometry, we know ...

... QP = PR·cos(P) = PR·cos(36°)

... QR - PR·sin(P) = PR·sin(36°)

Substituting these values and the given area into the area formula gives ...

... 50 = (1/2)(PR·cos(36°))(PR·sin(36°))

... 100/(sin(36°)cos(36°)) = (PR)²

... PR = 10/√(sin(36°)cos(36°))

... PR ≈ 14.5015

You might be interested in

A jar contains 3 red, 2 white, and 1 green marble. Aside from color, the marbles are indistinguishable. Two marbles are drawn at

IRISSAK [1]

Answer:

0.6

Step-by-step explanation:

A permutation is an arrangement of outcomes whereas a combination is a grouping of outcomes.

Order matters in case of permutations but does not matter in combinations.

Given:

Number of red marbles = 3

Number of white marbles = 2

Number of green marbles = 1

To find: probability of picking 4 marbles and getting one of each color

Solution:

Total number of outcomes = $6_C__4$ = $\frac{6!}{4!\,2!}=\frac{6\times 5\times 4!}{4!\times 2}=15$

Number of favourable outcomes = 2 red, 1 white and 1 green marble + 1 red, 2 white and 1 green marble = $3_C_2\,2_C_1\,1_C_1+3_C_1\,2_C_2\,1_C_1$ = $\frac{3!}{2!\,1!}\times \frac{2!}{1!\,1!}\times 1+\frac{3!}{2!\,1!}\times 1\times 1=6+3=9$

So, probability of picking 4 marbles and getting one of each color = Number of favourable outcomes/Total number of outcomes = $\frac{9}{15}=\frac{3}{5}=0.6$

4 0

3 years ago

The recycling bin in the shape of a rectangular prism is 15.5 inches long, 8 inches wide and 7 inches high. The recycling bins n

Viktor [21]

Answer:

694 cubic inches

Step-by-step explanation:

Dimension of prism

Length = 15.5 inches

width = 8 inches

height = 7 inches

Volume of regular prism is given by area of base * height

area of base = length * width ( as bin is rectangular)

area of base = 15.5 * 8 square inches = 124 square inches

Volume of regular prism = area of base * height

= 124 * 7 cubic inches = 868 cubic inches

_________________________________________________

868 cubic inches is the full capacity of the recycling bin

it is given that recycling bins need to be emptied when it is 80% full

so we need to find the 80% capacity of recycling bin

80% capacity of recycling bin = 80/100 * full capacity of the recycling bin

= 0.8 * 868 cubic inches = 694.4 cubic inches

694.4 cubic inches is the amount needed before the recycle bin is ready to empty .

But question says answer should in nearest cubic inch

hence answer is 694 cubic inches

3 0

3 years ago

Please explain step by step worth 20 points

ankoles [38]

Multipy $275 by the 4.5%
4.5%=.045 (just move the decimal 2 places left)
275*.045= 12.375 Susan gets $12.375 a year (don't round yet)
Multiply $12.375 by 5years 12.375*5= 61.875 (now round)
$61.90=B
I hope this helps! :)

5 0

3 years ago

Please help me with this page

Maurinko [17]

Well i can help u with one problem 7 I don’t think it is A cause if u multiple 17.50 by 2 u will get $35.00 and when u add $43.00 that will be $78
So I think 7. Would be B

7. B

6 0

3 years ago

Convert the following fractions to decimals<br>9/16<br><br>6 3/5<br><br>1/4

ZanzabumX [31]

0.5625
12.6
0.25
Give me a star and thx

8 0

3 years ago