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inna [77]
3 years ago
10

Which pair of numbers is relatively prime?

Mathematics
1 answer:
kondor19780726 [428]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Two numbers are relatively prime when there is no integer greater than one that that is a factor of both of them.

A: 15 and 21 both have a factor of 3.

<u>B</u>: 24 and 49 have no common factors, and therefore, are relatively prime.

C. 35 and 135 both have a factor of 5.

D:  45 and 102 both have a factor of 3.

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Find the measure of angle X in the triangle below.
daser333 [38]
Use the Law of Sines to solve.

24/Sin 67.38 = 26/Sin X
Cross multiply
26Sin 67.38 = 24SinX
Divide both sides by 24
(26Sin67.38)/24 = Sin X
Use Sin^-1 to find the angle measure.
Sin^-1 [(26Sin67.38)/24]
x = 89.92 degrees

5 0
3 years ago
Can someone help me find x of this triangle
uysha [10]

Answer:

x = 9

Step-by-step explanation:

Sum of a triangle is 180°.

6x + 1 + 6x - 14 + 9x + 4 = 180°

Arrange the like terms together and simply this equation.

6x + 6x + 9x + 1 + 4 - 14 = 180°

21x - 9 = 180°

Shifting '-9' to the other side of the equation gives you '+9'

21x = 180° + 9

21x = 189

Shifting 21 to the other side of the equation (to get x) makes it  ÷21 (multiply)

x = 189 ÷ 21

x = 9

3 0
3 years ago
If the average of b and c is 8, and d=3b-4, what is the average of c and d in terms of b?
Olegator [25]

Answer:

b+6

Problem:

If the average of b and c is 8, and d=3b-4, what is the average of c and d in terms of b?

Step-by-step explanation:

We are given (b+c)/2=8 and d=3b-4.

We are asked to find (c+d)/2 in terms of variable, b.

We need to first solve (b+c)/2=8 for c.

Multiply both sides by 2: b+c=16.

Subtract b on both sides: c=16-b

Now let's plug in c=16-b and d=3b-4 into (c+d)/2:

([16-b]+[3b-4])/2

Combine like terms:

(12+2b)/2

Divide top and bottom by 2:

(6+1b)/1

Multiplicative identity property applied:

(6+b)/1

Anything divided by 1 is that anything:

(6+b)

6+b

b+6

3 0
3 years ago
Read 2 more answers
2.Solve the following quadratic equations<br> i. 9x^2 - 1/16<br> ii. 2h^2 - 3h - 27
Juli2301 [7.4K]
i)~9x^2-\dfrac{1}{16}=0\iff9x^2=\dfrac{1}{16}\iff x^2=\dfrac{1}{9\cdot16}\iff \\\\x^2=\dfrac{1}{144}\iff x=\pm\sqrt{\dfrac{1}{144}}=\pm\dfrac{1}{12}\Longrightarrow\boxed{x=\pm\dfrac{1}{12}}


ii)~2h^2-3h-27=0\\\\\Delta=b^2-4ac\to \Delta=(-3)^2-4\cdot2\cdot(-27)\to\Delta=9+216=225\\\\&#10;\Longrightarrow h=\dfrac{-b\pm\sqrt{\Delta}}{2a}=\dfrac{-(-3)\pm\sqrt{225}}{2\cdot2}=\dfrac{3\pm15}{4}\\\\\begin{cases}h_1=\dfrac{3+15}{4}=\dfrac{18}{4}\iff \boxed{h_1=\dfrac{9}{2}}\\h_2=\dfrac{3-15}{4}=\dfrac{-12}{4}\iff\boxed{h_2=-3}\end{cases}

4 0
3 years ago
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
sergey [27]

Step 1) Divide the figure into separate shapes

Long rectangle: 27 x 5

Triangle: 3 x 4

Middle rectangle: 15 x 7

Small rectangle: 6 x 3

Step 2) Find the area of each shape

Long rectangle: A = 27 x 5 = 135

Triangle: A = 1/2 x 3 x 4 = 6

Middle rectangle: A = 15 x 7 = 105

Small rectangle: 6 x 3 = 18

Step 3) Add all of the areas together

A = 135 + 6 + 105 + 18 = 264 square feet

Hope this helps! :)

8 0
3 years ago
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