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Vlada [557]
2 years ago
15

Angles of xyz are in the ratio 3:3:6. What are the measures of the angles

Mathematics
1 answer:
tankabanditka [31]2 years ago
4 0
Let
x = 3a (first angle)
y = 3a (second angle)
z = 6a (third angle)

The total angle of a triangle is ALWAYS 180.
3a + 3a + 6a = 180
12a = 180
a = 15

Therefore, x = 45, y = 45, z = 90
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Evaluate the expression. 6 to the third power + 5( 8 + 15)
olya-2409 [2.1K]

Answer:

5083

Step-by-step explanation:

6^3 + 5(8 + 15)

Simplify the bracket first

6 x 6 x 6 + 5 (23)

216 + 5 (23)

221 (23)

221 x 23 = 5083

6 0
2 years ago
Jim worked 40 hours last week, plus 8 overtime hours at the time-and-a-half rate. His gross pay was $884. A. What was his hourly
marishachu [46]

Answer:

Hourly rate: $17.

Hourly overtime rate: $25.5.

Step-by-step explanation:

Let x represent Jim's hourly pay.

We have been given that Jim worked 40 hours last week. So amount paid in 40 hours would be 40x.

We are also told that his over time pay is time-and-a-half rate that is 1.5x.

The amount earned for working 8 overtime hours would be 8\cdot 1.5x=12x.

Since Jim's gross pay was $884, so we will equate amount earned in 40 hours and 8 hours of overtime with 884 as:

40x+12x=884

52x=884

\frac{52x}{52}=\frac{884}{52}

x=17

Therefore, Jim's hourly rate is $17.

Overtime rate would be 1.5x\Rightarrow1.5(17)=25.5

Therefore, Jim's hourly overtime rate is $25.5.

7 0
3 years ago
How are the graphs of y = sin(x) and y = sin(x - 8) related? *
kvasek [131]

Answer:

There is a horizontal shift.

Step-by-step explanation:

Replacing  x  in a function formula with  x - 8  moves the graph 8 units to the <u>right</u>.

In the attached image, y = sin(x) is light green,  y = sin(x - 8) is dark green, and the arrows show how points on sin(x) get moved 8 units to the right.

5 0
2 years ago
What multiplies to get 14 and adds to get -9
____ [38]
Hi. I  begin by finding the positive factors of 14. They are: 1 x 14 and 2 x 7. None of those can be added to yield a negative number, so let's now instead consider their negatives: -1 x -14 and -2 x -7. Does either of these pairs, when added, yield -9? Yes: -2 and -7.

To be clear: -2 x -7 = 14; and -2 + -7 = -9.

So the answer is -2 and -7. 
7 0
3 years ago
What is the volume ?
lukranit [14]

Answer:

Amount of space occupied by a three-dimensional object is called its volume.

5 0
3 years ago
Read 2 more answers
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