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Flauer [41]
3 years ago
15

Which is the correct answer here?

Mathematics
1 answer:
Stels [109]3 years ago
3 0
Opposite side length = 9
Adjacent side length = 12
Hypotenuse side length = 15

sin∅ is found with (opposite/hypotenuse). Therefore, sin∅ = 9/15.
cos∅ is found with (adjacent/hypotenuse). Therefore, cos∅ = 12/15.
tan∅ is found with (opposite/adjacent). Therefore, tan∅ = 9/12.

The answer is D.
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NeTakaya

Answer:

1.

Step-by-step explanation:

4 0
3 years ago
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(4x³-4+7x)-(2x³-x-8)
Ket [755]
<span>(4x³-4+7x)-(2x³-x-8) = </span>4x³-4+7x<span> - </span>2x³ + x+8 = (4x³-2x³) + (7x+x) -4+8 = 

= 2x³ + 8x +4

(4x³-4+7x)-(2x³-x-8) = 2x³ + 8x +4
4 0
3 years ago
(X^2+x-6)(2x^2+4x) factor completely
MissTica

Answer:

2x\left(x-2\right)\left(x+3\right)\left(x+2\right)

Step-by-step explanation:

Lets go ahead and take a step by step approach to solving your problem.

First we must start by factoring x^2+x-6.

To do this, we must break the expression into groups! Although I will also provide a definition to help you understand! For ax^2+bx+c we need to find u, v > u\cdot \:v=a\cdot \:c and u+v=b which we will group into \left(ax^2+ux\right)+\left(vx+c\right).

The values we have are...a=1,\:b=1,\:c=-6 and u\cdot v=-6,\:u+v=1.

Now we need the factors of 6 which are 1, 2, 3 and 6. We also need the negative factors which you get simply by multiplying the positives by -1 or just reversing them.

Now we need to check for every two factors if u + v = 1.

\mathrm{Check}\:u=1,\:v=-6: \:u\cdot v=-6,\:u+v=-5 \Rightarrow  \mathrm{False}

\mathrm{Check}\:u=2,\:v=-3: \:u\cdot v=-6,\:u+v=-1 \Rightarrow  \mathrm{False}

\mathrm{Check}\:u=3,\:v=-2: \:u\cdot v=-6,\:u+v=1 \Rightarrow  \mathrm{True}

\mathrm{Check}\:u=6,\:v=-1: \:u\cdot v=-6,\:u+v=5 \Rightarrow  \mathrm{False}

Therefore u=3,\:v=-2.

Now we want to \mathrm{Group\:into\:}\left(ax^2+ux\right)+\left(vx+c\right). Which is \left(x^2-2x\right)+\left(3x-6\right).

Now we must factor x from x^2-2x.

Lets apply the exponent rule of a^{b+c}=a^ba^c which means x^2=xx.

Therefore we now have xx - 2x. Lets factor out the common term of x to get x(x - 2).

Now factor 3 out of 3x-6.

Rewrite 6 as 3 * 2. 3x-3\cdot \:2.

Now factor out the common term of 3 > 3\left(x-2\right).

x\left(x-2\right)+3\left(x-2\right) > Factor out the common term of x - 2 > \left(x-2\right)\left(x+3\right).

Now lets factor 2x^2+4x.

Apply the previous exponent rule of a^{b+c}=a^ba^c > x^2=xx > 2xx+4x.

Now rewrite 4 as 2 * 2 > 2xx+2\cdot \:2x.

Now factor out the common term of 2x to get 2x(x + 2).

Combine it all and we get 2x\left(x-2\right)\left(x+3\right)\left(x+2\right).

Hope this helps!

7 0
3 years ago
Which of the following data sets is represented by the histogram.
kherson [118]

Answer:

A) (the first data set)

Step-by-step explanation:

It is the only one that has enough numbers to be represented by the histogram

8 0
3 years ago
Freddy mixed 1 6/16 gallons of white paint with 2 1/8 gallon of paint to paint the walls of a home office. How much pay does Fre
alukav5142 [94]

Answer:

3 1/2 gallons.

Step-by-step explanation:

1 6/16 + 2 1/8

= 3 + 6/16 + 1/8

= 3 + 3/8 + 1/8

= 3 4/8

= 3 1/2 gallons.

5 0
3 years ago
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