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-Dominant- [34]
3 years ago
7

Please show your work with each expression. Simplify.

Mathematics
1 answer:
Alina [70]3 years ago
6 0
(replace the variables) 6(9)-2(5)^2
(simplified) 54-10^2.... 54-100=-46
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A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole
Brrunno [24]

Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

\sin\theta=\dfrac{h}{H}

h is perpendicular and H is hypotenuse

So,

\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}

Now using Pythagoras theoerm,

b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

6 0
3 years ago
Mary's team scores 18 points in the first half and 7 points in the second half. Mary scored a total of 5 points. What fraction o
jek_recluse [69]

Answer:

.2 <em>or </em>1/5

Step-by-step explanation:

First, calculate the total points by adding the two half's totals together.

7 + 18 = 25

Now, divide the number of points Mary scored by the total.

5 / 25 = 1/5

7 0
3 years ago
What is the coefficient of x*2
dimulka [17.4K]
X*2 = 2x

Coefficient is 2.
7 0
3 years ago
Read 2 more answers
on a large college campus, 84% of the students report drinking alcohol within the past month, 33% report using some type of toba
Natasha_Volkova [10]

Answer:  0.31

Step-by-step explanation:

Let A denotes the event that the students report drinking alcohol and B denotes the students report using some type of tobacco product .

Given : P(A) =0.84   ; P(B)=0.33    and        P(A∪B)=0.86

We know that P(A\cap B)=P(A)+P(B)-P(A\cup B)

Then, the probability that the student both drunk alcohol and used tobacco in the past month is given by :-

 P(A\cap B)=0.84+0.33-0.86=0.31

Hence, the probability that the student both drunk alcohol and used tobacco in the past month = 0.31

5 0
3 years ago
Is this a direct variation? for #1
FinnZ [79.3K]
No its not because it dont go up by a constant rate of change
8 0
3 years ago
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