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Rama09 [41]
3 years ago
10

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0

Answer:

The measure of angle θ is 7π/6. The measure of its reference angle is  <u>210°</u>

and sin θ is​ <u>-1/2</u>.

Step-by-step explanation:

The correct question is:

<em>The measure of angle θ is 7π/6. The measure of its reference angle is  ___</em>

<em>and sin θ is​ ___</em>

180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:

180° / π radians = x° / (7π/6 radians)

x = (180/π) * (7π/6 radians)

x = 210°

And sin(210°) = -1/2

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A painter spends 3 hours working on a painting. A sculptor spends 23 as long working on a sculpture. How long does the sculptor
Volgvan

Answer:

69 hours

Step-by-step explanation:

The painter spends 3 hours working on a painting.

The sculptor spends 23 times as long as the painter.

The amount of time the sculptor spent is:

23 * 3 = 69 hours

The sculptor works for 69 hours.

6 0
3 years ago
-7x + 2y = 18<br> 6x+6y=0
tia_tia [17]

Answer:

{25/2,-25/2}

Step-by-step explanation:

4 0
3 years ago
A triangle with two vertices located at (5, −8) and (5, 4) has an area of 48 square units. Determine one possible location of th
RoseWind [281]

Answer:x=1.5

Step-by-step explanation:

Given

Two points co-ordinates are given

A=(5,-8)

B=(5,4)

let other point be C =(x,y)

Area of triangle is given by

A=\begin{vmatrix}5& -8&1\\5& 4&1\\x& y&1\end{vmatrix}

A=5\left ( 4-y\right )+8\left ( 5-x\right )+1\left ( 5y-4x\right )

A=20-5y+40-8x+5y-4x

A=60-8x

and A=48 square unit

48=60-8x

x=1.5

As area is independent of y therefore at x=1.5 any value of y will give area of 48 square unit

7 0
3 years ago
What is the value of x in the equation 3(2x+8)=0
maxonik [38]

Answer:

x = -4

Step-by-step explanation:

3(2x+8)=0

Divide each side by 3

3/3(2x+8)=0/3

2x+8 = 0

Subtract 8 from each side

2x+8-8=0-8

2x = -8

Divide by 2

2x/2 = -8/2

x = -4

7 0
4 years ago
Estimate 55+3<br> to the hundred the<br> place,
pentagon [3]

Answer:

100

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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