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MatroZZZ [7]
2 years ago
10

On Tuesday at 2 p.m., the ocean’s surface at the beach was at an elevation of 2.2 feet. Winston’s house is at an elevation of 12

.1 feet. The elevation of his friend Tammy’s house is 3 1/2 times the elevation of Winston’s house.
a. What is the elevation of Tammy’s house?
b. How many times greater is the elevation of Tammy’s house than the elevation of the ocean’s surface at 2 p.m.?
c. On Wednesday at 9 a.m., Winston went diving. Near the beach, the ocean’s surface was at an elevation of -2.5 feet. During his deepest dive, Winston reached an elevation that was times the elevation of the ocean’s surface. What elevation did Winston reach during his deepest dive?
d. While diving, Winston stopped at a point located halfway between his deepest dive and the ocean’s surface. At what elevation was Winston when he stopped halfway?
Mathematics
1 answer:
bekas [8.4K]2 years ago
6 0
A) The elevation of Tammy's house is 42.35 feet.

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4/9 divided by what equals 12
Dahasolnce [82]
(4/9)/x= 12

Multiply both sides by x
4/9=12x

Divide both sides by 12
(4/9)*(1/12)= 4/108
4/108= 1/27

Final answer: 1/27
5 0
2 years ago
Line WY is an altitude in triangle WXZ. If ΔYWZ ~ ΔYXW, what is true about XWZ? XWZ is an obtuse angle. XWZ is a right angle. XW
topjm [15]
<span>In triangle WXZ,

Line WY is an altitude (as shown in the attached picture)
Now, it is given that:
</span><span>If ΔYWZ ~ ΔYXW
</span>∠WXY = ∠WZY
<span>
Then, we can also conclude 
</span>∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)

Now, in any triangle, the sum of all the three angles is 180.

In triangle, WXY, ∠WYX = 90° (From 1)
Therefore, WXY + XWY = 90°

Similarly, in WZY.

Hence, we conclude that XWZ is a right angle.

7 0
2 years ago
Read 2 more answers
Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours. How many hour
Deffense [45]

Answer:

12 hours

Step-by-step explanation:

Let Theo's siste can paint a fence in x times

Given.

Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours.

\frac{1}{x}+\frac{1}{3x} =\frac{1}{9}\\\frac{3+1}{3x} =\frac{1}{9} \\\frac{4}{3x}=\frac{1}{9}

Apply cross multiplication

x=\frac{9\times 4}{3}\\x=\frac{36}{3} \\x=12hours

Theo’s sister to paint the fence in 12 hours.

8 0
2 years ago
One in a hundred million people is a genius. If they are a genius, the probability that the person is acting extremely quirky is
Mila [183]

Answer:

The correct option is E) About 1 in a million.

Step-by-step explanation:

Consider the provided information.

It is given that one in a hundred million people is a genius.

Let G represents the Genius and Q represents the quirky.

We need to find the probability that someone is acting quirky- what is the probability that they are a genius.

The probability that person is quirky is: P(Q)=0.999\cdot0.00000001+0.01\cdot0.99999999

The probability of P(Q\cap G)=0.999\cdot0.00000001

Hence, the required probability is:

P(G|Q)=\frac{P(Q\cap G)}{P(Q)}

P(G|Q)=\frac{0.999\cdot0.00000001}{0.999\cdot0.00000001+0.01\cdot0.99999999}

P(G|Q)\approx 9.98999\times10^{-7}

Which is near about 1 in a million.

Hence, the correct option is E) About 1 in a million.

5 0
2 years ago
What is the surface area of the pyramid? 12ft 10ft 10ft
jonny [76]

Answer:

2h x (l+b)

2x10 X (12+10)

20 X 22

44 cm cube is your answer...

3 0
2 years ago
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