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Veseljchak [2.6K]
4 years ago
12

Find the greatest common factor (GCF) for this of composite number 9_14

Mathematics
1 answer:
yan [13]4 years ago
4 0

Answer:

the gcf of 9 and 14 is 1

Step-by-step explanation:

factors of 9: 1, 3

factors of 14: 1, 2, 7

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Using the triangle pictured, find the measure of side AB. Round your answer to the nearest tenth. A) 1.6 B) 2.2 C) 2.7 D) 3.3
Yuki888 [10]

Answer:

Option B (AB = 2.2 units).

Step-by-step explanation:

The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:

sin ABC / AC = sin BAC / BC.

Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:

sin 72 / 2.5 = sin BAC / 2.1.

Cross multiplying gives:

sin BAC = (2.1*sin 72)/2.5.

sin BAC = 0.79888747368.

Taking sin inverse on both sides gives:

BAC = arcsin (0.79888747368) = 53.0239949 degrees.

To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051  degrees.

Now applying the Sine Rule to find AB:

sin ACB / AB = sin ABC / AC.

sin (54.9760051) / AB = sin 72 / 2.5.

AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).

Therefore, AB = 2.2 units, i.e. Option B!!!

6 0
4 years ago
The line plot shows the results of a survey of 10 boys and 10 girls about how many hours they spent reading for pleasure the pre
elena-14-01-66 [18.8K]
10 students per gender:

Boys:  <span>four Xs over five and one X over zero, two, three, four, ten, and twelve. 
5, 5, 5, 5, 0, 2, 3, 4, 10, 12 </span>→ 0, 2, 3, 4, 5, 5, 5, 5, 10, 12<span>
mean: 5.1
range: 12

</span><span>Girls: three Xs above eight, two Xs above three and four, and one X above two, six and seven.
8, 8, 8, 3, 3, 4, 4, 2, 6, 7 </span>→ 2, 3, 3, 4, 4, 6, 7, 8, 8, 8 
<span>mean: 5.3
range: 6

The boys have the higher range while the girls have the higher mean value.


</span><span>
</span>
8 0
3 years ago
Amanda uses the equation y = kx to determine how much money (y) she earns after working any number of hours (x). Amanda earned $
stiks02 [169]
The answer would be A) 8.75 

To solve you substitute the numbers into the equation y=kx
                                                                                        350=40k 
then you would divide and get 8.75
5 0
3 years ago
Read 2 more answers
If f(x)=x2-2x and g(x) =6x+4, for whichvalue of x dose (f+g)(x)=0
Juliette [100K]

Answer:

The value of x that makes the equation equal to 0 is -2.

Step-by-step explanation:

In order to find this, we first must create the composite function using the designated operation. The operation is addition, so we just add them together.

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(x^2 - 2x) + (6x + 4) = (f+g)(x)

x^2 + 4x + 4 = (f+g)(x)

Now, in order to find when this is equal to 0, we need to factor.

x^2 + 4x + 4 = 0

(x + 2)(x + 2) = 0

When it is fully factored, we can set each parenthesis equal to 0 in order to find the value. Since the parenthesis are exactly the same, we only have to do this once.

x + 2 = 0

x = -2

6 0
3 years ago
Which of the following is the converse of the statement "If it is summer, then
Sergeu [11.5K]

Answer:

This is english not math but.....

If it is warm outside, then it is summer.

Step-by-step explanation:

Basically just switch the terms and make it grammatically correct.

5 0
3 years ago
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