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Eva8 [605]
3 years ago
11

Solve the following multi-step equation: 2(z + 5) + 4 = -12 What does z equal?

Mathematics
1 answer:
irina1246 [14]3 years ago
3 0

Answer: the answer is z= -13

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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
A large pizza has 16 slices. You eat 4 pieces and 7 chicken wings. What proportion of the pizza did you eat?
ddd [48]

Answer:

4/16

Step-by-step explanation:

You ate 4 slice of the 16 slice pizza

3 0
3 years ago
Check please :D <br> 12345678901234567890
bagirrra123 [75]

Answer: All but one was right

1. 0 (correct)

2. 34 (correct)

3. 398 (correct)

4. -350 (correct)

5. 20 (correct)

6. 200 (wrong)

7. 48 (correct)

8. -1000(correct)

9. 150 (correct)

10. -55 (correct)

Step-by-step explanation:

(2x5)x(9÷3)+4=10x3+4=30+4=34

4(25x8÷2)+3-5=4(200÷2)+3-5=4x100+3-5=400+3-5=403-5=398

-10x20-30(5)=-200-150=-350

5x10-30=50-30=20

4(50-20÷4)+20=4(50-5)+20=4x45+20=180+20=200

3x4(20÷5)=12x4=48

-20(50x2)+5(200)=-20x100+5x200= -2000+1000=-1000

20x5+70-20=100+70-20=170-20=150

-5+10x(-5)==5+-50=-55

6 0
2 years ago
Read 2 more answers
Use the quadratic formula to find the solutions to the quadratic equation
777dan777 [17]

Answer:

It will have complex and different roots.

Step-by-step explanation:

The solution is attached in the image below:

4 0
4 years ago
Read 2 more answers
One number is seven more than twice another . If their sum is decreased my ten the result is twelve. Find the numbers
Rainbow [258]

Answer:

5, 17

Step-by-step explanation:

For this problem, you need to create a system of equations.

We can name one number x and the other y.

First equation: 2x + 7 = y

Second equation: x + y - 10 = 12, or x + y = 22.

We know y = 2x + 7, so we can substitute that into the second equation.

x + 2x + 7 = 22.

3x = 15

x = 5.

Plug x back into the first equation:

2 · 5 + 7 = y.

y = 10 + 7

y = 17.

3 0
3 years ago
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