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Grace [21]
2 years ago
13

The intersection of two planes contains at least two points

Mathematics
1 answer:
MArishka [77]2 years ago
7 0

Answer:

False

Step-by-step explanation:

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Solve x in 2|x+ 6| + 9 = 19
xenn [34]
Answer: x=-1

Step by step:

2|x+6|+9=19

Subtract 9 from both sides.

2|x+6|=10

Divide both sides by 2

|x+6|=5

Use the definition of absolute value.

x+6=5

Subtract 6 on both sides

x=-1

Hope this helped! :)
5 0
2 years ago
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Divide. Write your answer in simplest form. 1/9 divided 5/4?
timofeeve [1]

Answer: 4/45

Step-by-step explanation:

5 0
3 years ago
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Two angles are complementary. One of the angles is twice the other.
sergiy2304 [10]
Two complementary angles must add to 90 degrees, and if you divide 90 into thirds (two parts for the larger angle, one for the smaller), then you get 30 degrees.

If the smaller angle is 30 degrees, then the larger is two times that, which is 60. 60 + 30 = 90, so the larger angle is equal to 60 degrees.
5 0
3 years ago
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Please help ASAP! Thanks! For the figures below, assume they are made of semicircles, quarter circles and squares. For each shap
bazaltina [42]

Answer:

Part 1) A=36(\pi-2)\ cm^2

Part 2) P=6(\pi+2\sqrt{2})\ cm

Step-by-step explanation:

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)

we have that the base and the height of triangle is equal to the radius of the circle

r=12\ cm\\b=12\ cm\\h=12\ cm

substitute

A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)

A=(36\pi-72)\ cm^2

simplify

Factor 36

A=36(\pi-2)\ cm^2

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

<em>The circumference of a quarter of circle is equal to</em>

C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r

substitute the given values

C=\frac{1}{2}\pi (12)

C=6\pi\ cm

The hypotenuse of right triangle is equal to (applying the Pythagorean Theorem)

AC=\sqrt{12^2+12^2}

AC=\sqrt{288}\ cm

simplify

AC=12\sqrt{2}\ cm

Find the perimeter

P=(6\pi+12\sqrt{2})\ cm

simplify

Factor 6

P=6(\pi+2\sqrt{2})\ cm

6 0
3 years ago
The largest taco contained approximately 1 kg of onion for every 6.8 kg grilled steak. The total weight of these two ingredients
erastovalidia [21]

Answer: Onion = 79.17 kg

Grilled steak = 538.356 kg

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

1 k + 6.8 k = 617.6  

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.6

k = 617.6 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.8 (79.17) = 538.356 kg

Feel free to ask for more if needed or if you did not understand something.

6 0
3 years ago
Read 2 more answers
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