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Brums [2.3K]
3 years ago
8

Find the factors of 42 showing explain your work and this is the factor pairs in a table

Mathematics
2 answers:
Ilya [14]3 years ago
6 0
Fundamental Theorem of Arithmetic states that every positive integer can be factor into a product of unique primes.
42=2*3*7
therefore all factors of 42 are all the combinations of the product
2, 3, 7, 6, 14, 21
and 1,42 in case you wanted to include them as well.
irga5000 [103]3 years ago
5 0
1,2,3,6,7,14,21,and42
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A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies another 15 miles at a bearing of
vivado [14]

Answer: 34.65 miles at an angle of 325.39°

Step-by-step explanation:

Ok, the initial position is (0,0)

Then she flies 30 miles at an angle of 160°, if we count the angle counterclokwise from the x-axis, the new position will be:

p = (30*cos(120°), 30*sin(120°))

Then she travels another 15 miles at an angle of 205°, the new position is:

p = (30*cos(120°) + 15*cos(205°), 30*sin(120°) + 15*sin(205°))

p = (-28.59 , 19.64)

If she now travles X miles at an angle Y, we must have that the final position is the point (0,0)

this means that:

X*cos(Y) = -(-28.59) = 28.59

X*sin(Y) = -19.64

Now, we can find the quotient between those two equations and use that tan(x) = sin(x)/cos(x)

X*(sin(Y))/(X*cos(Y)) = -19.64/28.59

Tg(Y) = -0.69

Y = ATg(-0.69) = -34.61°

If we use only positive angles, this angle is equivalent to:

360° - 34.61° = 325.39°

now lets find the distance:

Xcos(325.39°) = 28.59

X = 28.59/cos(325.39°) = 34.65 miles.

4 0
4 years ago
Please help!!!! I don't have alot of time!! 100 points and will mark brainliest
NARA [144]

At x = -2, there is a blue dot, which is a local minimum, because it is below the x axis.

The dot is located at y = -4

The answer is Yes there is a local minimum at x = -2

The local minimum is y = -4

4 0
4 years ago
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Explain how the model shows 4(5+x)
Leni [432]
4x5+4x

The answer is 20+4x
3 0
4 years ago
The slope of the trend line is 15. What does that mean in regard to the data of the scatterplot? Check all that apply.
rodikova [14]

Answer: A, C, E

Step-by-step explanation:

i just answered it and got it correct

5 0
4 years ago
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Kira decorates the exterior faces of a gift box in the shape of a cube .What is the surface area in square inches of the gift bo
Gekata [30.6K]

Answer:

The surface area of the gift box that Kira decorates is 253.5\ in^{2}

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

A cube has six square faces

The surface area of a cube is equal to the area of the six squares faces

SA=6b^{2}

where

b is the length side of a cube

In this problem we have

b=6.5\ in

substitute

SA=6(6.5)^{2}

SA=253.5\ in^{2}

7 0
3 years ago
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