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erik [133]
3 years ago
8

7. If the longer leg of a right triangle is twice as long as the shorter leg, what is the ratio of

Mathematics
1 answer:
kicyunya [14]3 years ago
5 0

Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.

Step-by-step explanation:

I suppose that the "legs" of a triangle rectangle are the cathati.

if L is the length of the shorter leg, 2*L is the length of the longest leg.

Now you can remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

Then there is one acute angle calculated as:

Tan(θ)  =  (shorter leg)/(longer leg)

Tan(φ) = (longer leg)/(shorter leg)

And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.

Then we need to find θ and φ.

Tan(θ) = L/(2*L)

Tan(θ) = 1/2

θ = Atan(1/2) = 26.57°

Tan(φ) = (2*L)/L

Tan(φ) = 2

φ = Atan(2) = 63.43°

Then the ratio between the larger acute angle and the smaller acute angle is:

R = (63.43°)/(26.57°) = 2.39

This means that the larger acute angle is 2.39 times the smaller acute angle.

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Most everyday situations involving chance and likelihood are examples of ______. simple probability permutations conditional pro
Fynjy0 [20]

Answer:

Most everyday situations involving chance and likelihood are examples of simple probability.

Explanation:

The probability is the chance or likelihood of any event happening. In our everyday life, we unintentionally use the probability. For example, we say there is 70% chance that tomorrow will be rain, there is 50% chance that Brazil will win the world cup, there is less likelihood of he arriving today and soon. In all these concepts we are dealing with uncertainty and there is chance factor involved in all these examples. So in most everyday situations which involve chance and likelihood are actually examples of simple probability.

6 0
3 years ago
Two printers working together can complete a job in 6 hours. Working alone, one
timama [110]

Answer:

Press A takes 10 hours to do a certain job. So Press A does (1/10)th of the job in an hour.

Press A and Press B, together do (1/2.5) or (4/10)th of the job in an hour.

So Press B does (4/10)-(1/10) = (3/10)th of the job in an hour. So Press B can do the job in (10/3) hours or 3 hour and 20 mins.

Check: A does (1/10)th and B does (3/10)th part of the job in an hour. A and B together will take (1/10)+(3/10) = 4/10th of the job in an hour. So they will complete the job in 10/4 = 2.5 hours. Correct.

Answer: Press B can do the job in 3 hour and 20 mins.

Step-by-step explanation:

6 0
3 years ago
One Endpoint is 9,18 and the midpoint is 14,16 what the other end point
Valentin [98]
\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ 9}}\quad ,&{{ 18}})\quad 
%  (c,d)
&({{ x}}\quad ,&{{ y}})
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)

\bf \left( \cfrac{x+9}{2}~,~\cfrac{y+18}{2} \right)=\stackrel{\textit{midpoint}}{(14,16)}\implies 
\begin{cases}
\cfrac{x+9}{2}=14\\\\
x+9=28\\
\boxed{x=19}\\
-------\\
\cfrac{y+18}{2}=16\\\\
y+18=32\\
\boxed{y=14}
\end{cases}
7 0
3 years ago
Lenny has 21 green blocks the ratio of green blocks to yellow blocks she owns is 3:1 How many blocks does she own.
Lena [83]

Answer:

28 blocks lol

Step-by-step explanation:

n f,s glrjbgwrfbskjdbfls/bjsdggwr

5 0
3 years ago
PLEASE HELP ANSWER ASAP I WILL GIVE BRAINLIEST
AysviL [449]

Answer:

Let number of weeks be x

10x = 200-150

x=50/10

x=5

Thus it would take him 5 weeks to buy himself a iPhone12

Hope it helps

8 0
3 years ago
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