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Blababa [14]
2 years ago
10

Solve using equivalent ratios.

Mathematics
1 answer:
jeyben [28]2 years ago
5 0

Answer:

10

Step-by-step explanation:

3 x 5 = 15 so 2 x 5 = 10

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Consider the trapezoid with given dimensions. Suppose it is dilated by a scale factor of
koban [17]

Answer: 1 & 4

Step-by-step explanation:

Just did it

6 0
3 years ago
Give the degree and classify the polynomial by the number of terms.
cestrela7 [59]

Answer:

degree 3, binomial

Step-by-step explanation:

the highest exponent is the degree, it's two terms so bi meaning 2 makes it a binomial

5 0
2 years ago
A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular
Tcecarenko [31]

If we draw the diagonals of the octagonal gazebo, the 4 diagonals divide the octagon into 8 triangles.

Note that each triangle is an isosceles triangle whose equal sides are x, the radius of the circle.

The top angle of each triangle is obtained by dividing the full angle by 8.

So, each top angle = \frac{360}{8}

= 45°

Now, in fig., consider one of the triangles Δ OAB. Draw an altitude OC from O to the opposite side AB.

This altitude OC bisects the top angle 45°.

Therefore, ∠ AOC = 22.5°.

Now, in Δ AOC,

sin 22.5=\frac{AC}{OA}

=\frac{AC}{x}

So, AC = x sin 22.5°

Note that, AB = 2 AC.

Therefore, AB = 2x sin 22.5°.

Also, cos 22.5=\frac{OC}{OA}

=\frac{OC}{x}

So, OC = x cos 22.5°.

Area of Δ AOB = \frac{1}{2}(AB)(OC)

= \frac{1}{2} × (2x sin 22.5°) × (x cos 22.5°)

= \frac{1}{2} x^{2} (2 sin 22.5° cos 22.5°)

= \frac{1}{2} x^{2} sin 45°

= x^{2} / 2\sqrt{2}

Area of the octagonal gazebo = 8 × one triangular area

= 8 × (x^{2} / 2\sqrt{2})

=2\sqrt{2} x^{2}

=2.828x^{2}

Area required for mulch = circular area - area of the gazebo

=3.14x^{2} -2.828x^{2}

=0.312x^{2}

Now, cost per unit area = $1.50.

Hence, total cost g(m) = area × cost per unit area

Total cost g(m) = 0.312x^{2} × 1.5

=0.468x^{2}

Hence, total cost g(m) = 0.468x^{2}.

4 0
3 years ago
Explain why 7* x/7=x 7 times x over seven. why is it x?
Nikolay [14]
It is 1 because if you divided 7over 7 it 1 so x=1
5 0
2 years ago
A farmer sells 7.8 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. Ho
tangare [24]

Answer:

He sold 1.95 kilograms of apples.

Step-by-step explanation:

First we find out what 3/4 of 7.8 is.

3/4 of 7.8 = 5.85

Next we subtract 7.8 by 5.85

7.8 - 5.85 = 1.95

So, the answer is 1.95

Hope this helps! :)

4 0
2 years ago
Read 2 more answers
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