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slavikrds [6]
2 years ago
10

Question 15 of 28

Mathematics
1 answer:
mamaluj [8]2 years ago
7 0

The length of LN in the triangle below is (LN)²=33²-11². It is obtained by applying the pythogorous theorem in the triangle MLN. Option A is correct,

<h3>What is the definition of a right-angle triangle?</h3>

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometric function.

According to Pythagoras, the sum of the squares of two sides equals the square of the longest side.

In triangle MLN applies the pythogorous theorem;

\rm h^2=p^2+b^2 \\\\ MN^2=ML^2+LN^2 \\\\ 33^2=11^2+LN^2 \\\\ LN^2=33^2-11^2

Hence option A is correct.

To learn more about right-angle triangles, refer to brainly.com/question/3770177.

#SPJ1

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I need help with this please
AnnZ [28]
Hi there! The answer is C.

The area of the square in the middle is the following:
length \: \times \: width \: = 5 \times 5 = 25
Hence, the area of the square is 25 cm^2.

The area of one triangle is the following:
0.5 \times base \: \times \: height \: = 0.5 \times 5 \times 8 = 20
Hence, the total area of the four triangles is 4 × 20 = 80 cm^2.

Therefore, the total area of the pyramid is 80 + 25 = 105 cm^2. The answer is C.
6 0
3 years ago
Read 2 more answers
Jack is mowing lawns he mows lawns at a constant rate of 1/3 acre every 3/4 hour at this rate which ffraction re;presents the ac
Tanzania [10]

Answer:

4/9

Step-by-step explanation:

Given rate is 1/3 acre per 3/4 hours.

To calculate the rate per hour, we have to divide total acres by the fraction of hour

=> \frac{\frac{1}{3} }{\frac{3}{4} }

=> \frac{4}{3*3}

=> 4/9

5 0
2 years ago
Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i
Marina86 [1]

Step 1 ) Move all terms right side of the equation.

\displaystyle\ x^{2} + 6x = -18

\displaystyle\ x^{2} + 6x + 18 = -18 + 18

\displaystyle\ x^{2} +6x + 18 = 0

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

\displaystyle\ x^{2} +6x + 18 = 0

\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}

\displaystyle\ x = \frac{-6+\sqrt{6^{2}-4 * 18}}{2} , \displaystyle\ x = \frac{-6-\sqrt{6^{2}-4*18}}{2}

\displaystyle\ x = \frac{-6+6i}{2} ,

\displaystyle\ x = \frac{-6-6i}{2}

Step 3 ) Simplify.

\displaystyle\ x = \frac{-6+6i}{2} ,

\displaystyle\ x = \frac{-6-6i}{2}

\displaystyle\ x = -3+ 3i,

\displaystyle\ x = -3 - 3i

Since the options only provide one of the answer we found, the answer is...

\displaystyle\ x = -3 - 3i

•

•

- <em>Marlon Nunez</em>

6 0
3 years ago
Read 2 more answers
1/3 is part of which set of numbers?
nexus9112 [7]

Answer:

\frac{1}{3}Rational number as denominator is not equal to zero and numerator is a integer.

8 0
3 years ago
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Need asapppppppp!!!!!
algol [13]

Answer:

122 degrees-

Step-by-step explanation:

m\angle {GOC}=m\angle{GOA}+m\angle{AOC}\\=32^\circ + 90^\circ\\=122^\circ

Angle GOA is a vertical angle with angle DOE, so it has the same measure (vertical angles are congruent).

Angle AOC is a right angle because angle COE is a right angle.

5 0
2 years ago
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