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Bad White [126]
3 years ago
13

Is this a right triangle? Hypotenuse is 15 adjacent is 9 and the opp is 12

Mathematics
1 answer:
scoray [572]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

A right triangle's formula, according to Pythagorean's Theorem, is a² + b² = c². a and b are the two legs, and c is the hypotenuse. To solve, we must substitute the variables with the given measurements.

9² + 12² = 15²

Let's now solve:

81 + 144 = 225

225 = 225

The formula works out in the end, so it is a right triangle!

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On a snowy day 85% of the students of Wilson high school were present. If 572 of the students were present, how many students we
r-ruslan [8.4K]

Answer:

673

Step-by-step explanation:

okay so uh this is my way and the answer works so like yea teachers dont show like this but ii figured this works

okay so

85/100 = 572/?

so if you divide 85 by 85 its gonna equal 1 and 1 times 100 is gonna be 100

useing the same concept, it should be the same with 572 , but instead of divideing by 572, divide by 85.

basically 572/85

okay now thats gonna give you 6.72941176471 thats vasically 1% of the population.

so multiply 6.72941176471 * 100

so now you have

672.941176471 and you can round this to 673 kids.

and you know its right since 85% of 673 is 572.05 and you can sound to 572

7 0
2 years ago
Read 2 more answers
Q5. A car is bought for £5000 and sold for £7500.<br> What is the percentage profit?
Nitella [24]

Answer:

50% profit

Step-by-step explanation:

Cost price = £ 5000

Selling price = £ 7500

Profit  = Selling price - cost price

        = 7500 - 5000

       = £ 2500

Profit percentage = \frac{2500}{5000}*100

                             = 50 %

8 0
3 years ago
PLS ANSWER NOW i'm desperate
IceJOKER [234]

Answer:

1.6 < x < 9.6

Step-by-step explanation:

The smallest the third side can be is greater than the difference of the other two sides

x > 5.6 -4

x > 1.6

The largest the third side can be is  less than the sum of the other two sides

x < 5.6 +4

x < 9.6

1.6 < x < 9.6

8 0
4 years ago
Find the highest common factor of<br> 72 and 135
andrey2020 [161]

Answer:9

Step-by-step explanation:

Find the prime factorization of 72

72 = 2 × 2 × 2 × 3 × 3

Find the prime factorization of 135

135 = 3 × 3 × 3 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 3

GCF = 9

4 0
3 years ago
Read 2 more answers
Find all values of the angle θ (in radians, with 0 ≤ θ &lt; 2π) for which the matrix a = cos θ −sin θ sin θ cos θ has real eigen
harina [27]

The matrix

A=\begin{bmatrix}\cos\theta&-\sin\theta\\\sin\theta&\cos\theta\end{bmatrix}

has eigenvalues \lambda such that

\det(A-\lambda I)=\begin{vmatrix}\cos\theta-\lambda&-\sin\theta\\\sin\theta&\cos\theta-\lambda\end{vmatrix}=0

(\cos\theta-\lambda)^2+\sin^2\theta=0

(\cos\theta-\lambda)^2=-\sin^2\theta

\cos\theta-\lambda=\pm\sqrt{-\sin^2\theta}

\lambda=\cos\theta\pm\sqrt{-\sin^2\theta}

\sin^2\theta\ge0 for all values of \theta, so we need to have \sin\theta=0 in order for \lambda to be real-valued. This happens for

\sin\theta=0\implies\theta=n\pi

where n is any integer, and over the given interval we have \theta=0 and \theta=\pi.

4 0
3 years ago
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