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kicyunya [14]
2 years ago
10

A bag contains 39 colored marbles. There are 6 blue marbles, 14 red marbles, 8 yellow marbles, and 11 clear marbles. What is the

ratio of blue marbles to red marbles?
Mathematics
1 answer:
balu736 [363]2 years ago
3 0

Answer:

6:14=3:7

Step-by-step explanation:

There are 6 blue marbles and 14 red marbles, so the ratio of blue marbles to red marbles =6:14=3:7

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A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he
Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

\theta = \frac{360\°}{16}=22.5\°

Where all sectors have equal area.

Now, the area of the whole circle is 12.25 \pi \ cm^{2}, if we use the formula of its area, we'll find the radius of the circle

A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx  3.5

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43

Therefore, the height is 3.43 centimeters, approximately.

6 0
3 years ago
Use the x-intercept method to find all real solutions of the equation.<br> x^3-10x^2+29x-20=0
stiks02 [169]

Answer:

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Step-by-step explanation:

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julia-pushkina [17]

Answer:

slope = \frac{5}{2}

Step-by-step explanation:

Calculate the slope m using the slope formula

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