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jeka94
3 years ago
5

What is the greatest common factor (GCF) of 24 and 42?

Mathematics
1 answer:
kykrilka [37]3 years ago
7 0

Answer:

6

Step-by-step explanation:

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Someone pls help, its on trig ratios.
Mars2501 [29]

Answer:

BC=12.8,\\AC=15.1

Step-by-step explanation:

In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.

Therefore, we have the following equation:

\tan 58^{\circ}=\frac{BC}{8}

Solving, we get:

BC=8\tan 58^{\circ}\approx \boxed{12.8}

Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.

\cos 58^{\circ}=\frac{8}{AC},\\AC=\frac{8}{\cos 58^{\circ}},\\AC\approx \boxed{15.1}

We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.

Using the Pythagorean theorem to verify our answers:

8^2+(8\tan 58^{\circ})^2=\left(\frac{8}{\cos 58^{\circ}}\right)^2\:\checkmark

6 0
3 years ago
Which statement is true?
lina2011 [118]

Answer:

Its d

Step-by-step explanation:A probability of 1 indicates an event will definitely happen.

4 0
3 years ago
ABCD is a square. M is the midpoint of BC and N is the midpoint of CD. A point is selected at random in the square. Calculate th
almond37 [142]

Answer:

1/8 or 0.125

Step-by-step explanation:

Let x be the length of the sides of the square ABCD.

Therefore, the length of CN and CM is x/2.

The area of the triangle MCN is:

A_t = \frac{0.5x*0.5x}{2}=\frac{x^2}{8}

The area of the square ABCD is:

A_s =x*x =x^2

Thus, the probability that a random point lies in the triangle MCN is:

P=\frac{A_t}{A_s}=\frac{\frac{x^2}{8}}{x^2}=\frac{1}{8}=0.125

The probability that the point will lie in the triangle MCN is 1/8 or 0.125.

8 0
3 years ago
HELP PLEASEEEE!!! First correct answer gets brainliest! ​
RUDIKE [14]

Answer:

It is a solution

Step-by-step explanation:

y = -4x - 8

Let x = -9 and y = 28

Substitute these values in

28 = -4(-9) -8

28 = 36 -8

28 =28

This is true so it is a solution

5 0
3 years ago
X2 + 5x - 50 = 0<br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%205x%20-%2050%20%3D%200" id="TexFormula1" ti
love history [14]

Answer:

x = -10

x = 5

Step-by-step explanation:

{x}^{2}  + 5x - 50 = 0 \\ (x + 10)(x - 5) = 0 \\  \\ x =  - 10 \\ x = 5

8 0
3 years ago
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