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ss7ja [257]
3 years ago
8

A 15-foot ladder leans against a house. The bottom of the ladder is 7 feet from the house. To the nearest degree, what angle doe

s the ladder make with the ground? Enter your answer in the box
Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0
The ladder is forming a right triangle with the house. In this right triangle the hypotenuse is the measure of the ladder, and the distance between the house and he ladder is one of the sides of the triangle. To find the angle, \alpha, that the ladder is making with the ground, we are going to use a trig function that relates the adjacent side of our angle with the hypotenuse. That trig function is Cosine. 
Cos \alpha = \frac{adjacent.side}{hypotenuse}
Cos \alpha = \frac{7}{15}
\alpha =arcCos( \frac{7}{15} )
\alpha =62.2

We can conclude that the ladder make with the ground a 62° angle.
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The Mapleton Middle School band has 41 students. Six students play a percussion instrument. What percent of students in the band
Sedaia [141]

Answer:

the  percentage of the students in the band that play a percussion instrument is 14.6%

Step-by-step explanation:

The computation of the percentage of the students in the band that play a percussion instrument is as followS;

= number of students played percussion instrument ÷ total number of students

= 6 students ÷ 41 students

= 14.6%

Hence, the  percentage of the students in the band that play a percussion instrument is 14.6%

The same is relevant

3 0
3 years ago
Help :( I suck at math
iris [78.8K]

Answer:

D

Step-by-step explanation:

For some side lengths to create a triangle, any two of the side lengths must have an added length together of less than the third leg. Otherwise, the vertices would simply not be able to be connected by the lines. In a), 3+5=8, but since it is not more, the triangle will not be able to be formed (it would basically just be a line.) In B, 7+8< 16. In C, there is the same situation as with the first example (4+15=19). Finally, in the last one, 5+7>12, and all of the side lengths work out. Therefore, the correct answer is D. Hope this helps!

7 0
3 years ago
Three friends were born in consecutive years. The some of their birth years is 5982.find the year in which each person was born
posledela
A+b+c=5982
find the average of the three friends 
5982/3=1994
add and subtract one to find the average 
1994+1=1995
1994-1=1993
add all the years together to check 
1993+1994+1995=5983
3 0
3 years ago
Please this will determine if I pass
PSYCHO15rus [73]
The answer is B through ASA (Angle-Side-Angle) similarity criterion.
5 0
3 years ago
What is the area of the sector with a central angle of 49° and a radius of 11 cm? Use 3.14 for pi and round your final answer to
olga_2 [115]

Answer:

\boxed{\text{51.71 cm}^{2}}

Step-by-step explanation:

If the angle θ is in radians, the formula for the area (A) of a sector of a circle is

A = ½r²θ

If θ is in degrees

A = \dfrac{1}{2}r^{2}\theta \times \dfrac{\pi \text{ rad}}{180^{\circ}}= \pi r^{2}\times\dfrac{\theta }{360}

Data:

θ = 49°

r = 11 cm

Calculation:

\begin{array}{rcl}A& = &3.14\times 11^{2}\times\dfrac{49}{360}\\\\ & = &3.14 \times 121 \times 0.1361\\ & = & \mathbf{51.71}\\\end{array}\\\text{The area of the sector is }\boxed{\textbf{51.71 cm}^{2}}

4 0
3 years ago
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