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bogdanovich [222]
3 years ago
6

Each leg of a 45°-45°-90° triangle measures 12 cm what is the hypoyenuse

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0
To find the hypotenuse in a 45-45-90 triangle multiply the legs by \sqrt{2}
So...
The leg is 12 the hypotenuse is 12\sqrt{12}
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"Exponential Functions" Please respond to the following: Explain how exponential functions can model both phenomena that grow an
andrew11 [14]

Answer:

Step-by-step explanation:

Exponential functions grow at the fastest rate because the function increase or decrease in a power form.

for example, "2 raised x "means that when ever the power increase the number gets large and the same for decrements.

example: when x=1 it becomes 2

                         x=2                    4

                         x=3                     8

                        .

                        .

                        x=n                   2∧n which a very big number.

In the same case it decreases dramatically if the power is negative or the number is improper fraction with positive number exponent; like (3/4)∧x,2∧-x  when x is positive real number.

The similarities  of both trend is that the change is the same both decrease or increase in similar scenario.

the difference is already known that one goes up with out bound but the one which decays goes down ward both with limitation and in unlimited cases.

7 0
3 years ago
What are the length(s) of the sides labeled a and b in the triangle below?
neonofarm [45]

Answer:

14 and 14

Step-by-step explanation:

this is because it is a isosceles triangle and it has a specific rule.

8 0
3 years ago
Read 2 more answers
Find sin20 if sin 0 = 3; 90° < 0 < 180°
Alex777 [14]

Answer:

\sin 2 \theta = -\dfrac{4\sqrt 5}{9}

Step-by-step explanation:

\text{Given that,}\\\\~~~~~~\sin \theta = \dfrac 23\\\\\implies \sin^2 \theta = \left( \dfrac 23 \right)^2\\\\\implies 1- \cos^2 \theta = \dfrac 49 \\\\\implies \cos^2 \theta = 1 - \dfrac 49 \\\\\implies \cos^2 \theta = \dfrac 59\\\\\implies \cos \theta = \pm\sqrt{\dfrac 59} \\\\\implies \cos \theta = \pm \dfrac{\sqrt 5 }3\\\\\text{Since}~ 90^\circ < \theta < 180^{\circ},~\text{the angle lies in 2nd quadrant}\left(\cos \theta ~\text{is negative}\right).\\\\

\text{So,}~ \cos \theta = - \dfrac{\sqrt 5 }{3}\\\\\text{Now,}\\\\\sin 2\theta = 2\sin \theta \cos \theta \\\\\\~~~~~~~~=2 \cdot \dfrac 23 \cdot \left( -\dfrac{\sqrt 5}{3} \right)\\\\\\~~~~~~~~=-\dfrac{4\sqrt 5}{9}

\textbf{Quadrant rule:}\\\\

6 0
2 years ago
If a store advertised a sale that gave customers a 1/4 discount, what is the fractional part of the original price that the cust
ahrayia [7]
The customers would pay 3/4 of the original price because the store is paying for 1/4 of it.
8 0
4 years ago
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Raul is selling coupon books. He started with 50 coupon books and has already won a prize for selling at least 10 coupon books.
Svetach [21]

Answer:

Option 3.

Step-by-step explanation:

The given function is

f(x)=20x

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Hence, the correct option is 3.

3 0
3 years ago
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