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crimeas [40]
3 years ago
6

What is the measure of angle B? Give answer in degrees, round to nearest tenth.

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
6 0

Answer: 48.6 degrees

Step-by-step explanation:

Here we use the sin(-1) which is opp/ hypt. We get the ratio of 3/4 and put in our calculator .75 sin(-1) and get the output 48.59, which is rounded to 48.6.

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The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.
erastovalidia [21]

Answer:

<h3>The option B) is correct</h3><h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3>

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

<h3>To Find the coordinates of point B:</h3>
  • Let the coordinate of A be (x_1,y_1) is (2,7) respectively
  • Let the coordinate of B be (x_2,y_2)
  • And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
  • The mid-point formula is
<h3>M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})</h3>
  • Now substitute the coordinates int he above formula we get
  • (4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})
  • Now equating we get

4=\frac{2+x_2}{2}                    2=\frac{7+y_2}{2}

Multiply by 2 we get                             Multiply by 2 we get  

4(2)=2+x_2                                           2(2)=7+y_2

8=2+x_2                                                4=7+y_2

Subtracting 2 on both

the sides                                    Subtracting 7 on both the sides

8-2=2+x_2-2                                4-7=7+y_2-7

6=x_2                                                       -3=y_2

Rewritting the above equation      Rewritting the equation

x_2=6                                                      y_2=-3

<h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>

7 0
3 years ago
Just the middles question pls
Anvisha [2.4K]
The answer to this question is metaphor
3 0
3 years ago
Read 2 more answers
Question 14. A carousel makes one complete revolution every 75 seconds. Levi sits on the carousel 4 feet from its center. If the
garik1379 [7]

Answer:

The correct option is;

H. 32·π

Step-by-step explanation:

The given information are;

The time duration for one complete revolution = 75 seconds

The distance from the center of the carousel where Levi sits = 4 feet

The time length of a carousel ride = 5 minutes

Therefore, the number of complete revolutions, n, in a carousel ride of 5 minutes is given by n = (The time length of a carousel ride)/(The time duration for one complete revolution)

n = (5 minutes)/(75 seconds) = (5×60 seconds/minute)/(75 seconds)

n = (300 s)/(75 s) = 4  

The number of complete revolutions - 4

The distance of 4 complete turns from where Levi seats = 4 ×circumference of circle of Levi's motion

∴ The distance of 4 complete turns from where Levi seats = 4 × 2 × π × 4 = 32·π.

3 0
3 years ago
The coordinates of the verticies of triangle ABC are A(2,5), B(6,-1), and C(-4,-2). Fint the perimeter of triangle ABC, to the n
deff fn [24]

Answer:

24.4 Units

Step-by-step explanation:

For this, we will use the distance formula to find the distance between each vertex

\sqrt({x_{1}-x_{2} })^{2} +(y_{1} -y_{2})^{2}

So we do this for each side of the triangle to get AB = \sqrt{52}, BC = \sqrt{109}, and AC = \sqrt{45}

We add these all up to get 24.4 (rounded)

8 0
3 years ago
6 ten thousands 4 hundreds × 10
Katyanochek1 [597]

Answer:

604,000

Step-by-step explanation:

60,400 x 10

add one zero onto the end and replace the comma.

604,000

8 0
3 years ago
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