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Nataly_w [17]
3 years ago
15

Help!

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0

Answer:

The greatest common factor of 42, 60 and 78 is  6.

Step-by-step explanation:

The given numbers are : 42, 60 and 78

On Prime Factorization of the given terms, we get:

42 = 2 x 3 x 7

60 = 2 x 2 x 3 x 5

78  = 2 x 3 x 13

The common factors to all these three terms is   2 x 3  = 6

Hence, the greatest common factor of 42, 60 and 78 is  6.

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Help me with this question pleasee
Liono4ka [1.6K]

Answer:

√23 = a

Step-by-step explanation:

/ab/²= /ac/²+/bc/² (Pythagoras theorem)

12² = a² +11²

144 = a² + 121

144 - 121 = a²

23 = a²

√23 = a

7 0
3 years ago
How many pints are needed for 2 3/4 pots of soup?
Likurg_2 [28]

Answer:

1.38

Step-by-step explanation:

2 cups is one pint so if 3/4 is .38 then you would put it together to get 1.38

8 0
3 years ago
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
2 years ago
In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region
stich3 [128]

let's find the area of the outer circle and the inside circle

the inside's circle area

A= π x 6²=36π

the outer's

A' = π x 4x²= 4πx²

A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.

5 0
2 years ago
Write a division problem whose quotient has first digit in the hundreds place
AysviL [449]
OK.

Divide 1,000 by 10.
7 0
3 years ago
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