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poizon [28]
3 years ago
15

I can't quite figure out what ( 7- 4n ) x 6 is with distributive property.

Mathematics
1 answer:
Tema [17]3 years ago
7 0

Answer:

(42-24n)

Step-by-step explanation:

(7-4n)×6

take the 6 and multiply it to the integers in the paraenthesis.

so you take the ouside number which is 6 and multiply it with the first number which is 7 in the paraenthesis.

6×7=42

(42-4n)

then take the next number 4n and multiply by 6

4n × 6 = 24n

finally put it all together

(42-24n)

sorry if that didnt help

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Find the area of the shaded segment of the circle.
vredina [299]

Answer:

Around 5.5 square meters

Step-by-step explanation:

You can start by finding the area of the segment. Since the rest of the circle that is not in the segment is 240 degrees, the segment is 120 degrees or a third of the circle. You can therefore find the area of that segment with the formula \frac{1}{3} \pi r^2 =3\pi square meters. Now, you need to find the area of the triangle inside the sector. This is more difficult than last time, because it is not a 90 degree angle. However, you can solve this by dividing this triangle into two 30-60-90 triangles, which you know how to find the ratio of sides for. In a 30-60-90 triangle, the hypotenuse is twice the length of the smallest leg, and the larger leg is \sqrt{3} times larger than the smaller leg. In this case, these dimensions are a base of \frac{3}{2} for the smaller leg and \frac{3\sqrt{3}}{2} for the larger leg, or the base. Using the triangle area formula and multiplying by 2 (because remember, we divided the big triangle in half), you get \frac{9\sqrt{3}}{4} square meters. Subtracting this from the area of the segment, you get about 5.5 square meters. Hope this helps!

5 0
3 years ago
Which is an equation in point-slope form of the line that passes through the points (4,5) and (-3,-1)?
Annette [7]
(4,5),(-3,-1)
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now we sub...pay attention to ur signs
y - (-1) = 6/7(x - (-3) =
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6 0
3 years ago
Solving systems of equations by substitution -2x-3(6-11)=-7
Papessa [141]

Answer:

11

Step-by-step explanation:

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3 0
3 years ago
PQ is tangent to the circle at C. In the circle, m (The figure is not drawn to scale.)
Yuri [45]

Answer:

65°

Step-by-step explanation:

From the figure we can see a circle.

It is given that, measure of arc AD = 80°  therefore m<ACD = 80/2 = 40°

Also m<D = 75°

<u>To find the measure of <DCQ</u>

We know that, an angle made by a tangent and chord is equal to the angle made by the angle made by the chord on other side of the circle.

Here m<DCQ = m<CAD

By using angle sum property,

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Therefore m<DCQ = m< CAD = 65°

The correct answer is third option.

5 0
3 years ago
Mrs. Williams estimates that she will spend $65 on
galina1969 [7]

Answer:

Estimates: $65

Actually: $73

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= 0.9 (round to nearest tenth)  

I hope this helps, I may be wrong. Somebody can correct me if I am wrong. :)

7 0
3 years ago
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