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OLga [1]
3 years ago
9

Write an algebraic expression for 3 times x 2 times x minus 4 times x

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Answer:

(3+2)x - 4x

Step-by-step explanation:

I just converted the words, turned them to operations and that's it!

Hope this helps! :D

- Anna

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In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of t
Zepler [3.9K]

Answer:

<em>Approximate length of the side adjacent to ∠C is </em><em>7.66 inches.</em>

Step-by-step explanation:

*The appropriate triangle is attached below.

From the diagram, the right triangle ABC has

  1. Hypotenuse = \overline{AC}=10\ inch
  2. m\angle C=40^{\circ}

The side adjacent to angle C is BC. We can get the length of BC by applying trigonometric operations.

We know that,

\cos \theta =\dfrac{b}{h}

Putting the values,

\Rightarrow \cos 40 =\dfrac{BC}{10}

\Rightarrow BC=\cos 40 \times {10}

\Rightarrow BC=7.66\ in

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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.

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3 years ago
How can we predict the sign of the product or quotient of sign numbers?
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Two positives make a positive
two negatives make a positive
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