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Katen [24]
3 years ago
7

Help graph questions. (20 points)

Mathematics
2 answers:
Setler79 [48]3 years ago
5 0
First, we need the total number of people that used transportation. 
8+20+20+32 = 80
Next, we can make a ratio that represents the number of people who used bikes out of the total number of people. 8/80. Next, we set this equal to the ratio x/100 with x being the percent of people who used a bike.
8/80 = x/100
Finally, we solve for x. 
(100*8)/80 = x
800/80 = x10 = x
x equals 10, meaning 10% of people surveyed used a bike to get to the park.

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Romashka [77]3 years ago
3 0
15 percent
Its 15 percent for the reason that I th k it’s is
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Hailey is scuba diving in the ocean. Her boat is anchored 300 feet away at a 30° angle of depression. If her diving partner is 2
victus00 [196]

Answer:

B)313 ft

Step-by-step explanation:

Hello,I think I can help you with this

to solve this you need to find all the measures of the rigth triangle formed by Hailey, the boat, and the point on the surface of the sea just above the head of Hailey

Step 1

define

triangle

Hypotenuse=300 feet

opposite side=y

adjacent side=x

angle of depression =30°

Step 2

find the distances

cos\alpha =\frac{adjancent\ side}{hypotenuse}\\\\hypotenuse*cos\alpha =adjancent\ side\\ so\\x=adjancent\ side=hypotenuse*cos\alpha\\\\x=300\ft*cos 30 \\\\x=259.8076

so,  the point on the surface of the sea just above hailey is 259.8076 ft from the boat

sin\alpha =\frac{opposite\ side}{hypotenuse}\\\\hypotenuse*sin\alpha \\y=opposite\ side\\ so\\y=opposite\ side=hypotenuse*sin\alpha\\\\y=300\ft*sin 30 \\\\y=150

hailey is at a depth of 150 feet

Step 3

now,her partner is 25 feet directly below her,it is

partner's depth is =hailey is at a depth of 150 feet+25

Y=175

he is at the same distance from de boat ( horizontal),because it is the same point in the sea surface.

X=259.80

Step 4

to find  the distance between the partner and the boat we can use  

Pythagoras theorem

adjacentside^{2} +opposite side^{2} =hypotenuse^{2} \\\sqrt[2]{adjacentside^{2} +opposite side^{2}} =Hypotenuse\\Hypotenuse=\sqrt[2]{175^{2} +259.8076^{2}} \\\\Hypotenuse=313.24 ft

so, Hailey's diving partner is 313 ft away from the boat(B)

Have a great day.

3 0
3 years ago
Simplify the following:<br> a. a+a+a+a+a+a<br> b. 5x-4x+10x<br> c. 9t+3t-6t<br> d. -5j+11j+j
beks73 [17]
<h3><em><u>a</u></em><em><u>)</u></em><em><u> </u></em><em><u>a+a+a+a+a+a</u></em></h3>

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<h3><em><u>b. 5x-4x+10x</u></em></h3>

<em><u>=(5x+−4x+10x)</u></em>

<em><u>=</u></em><em><u> </u></em><em><u>11x</u></em>

<h3><em><u>c. 9t+3t-6t</u></em></h3>

<em><u>=(9t+3t+−6t)</u></em>

<em><u>=</u></em><em><u> </u></em><em><u>6t</u></em>

<h3><em><u>d. -5j+11j+j</u></em></h3>

<em><u>=(−5j+11j+j)</u></em>

<em><u>=</u></em><em><u> </u></em><em><u>7j</u></em>

<h3 />
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2 years ago
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