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melomori [17]
3 years ago
9

Evaluate the expression 12^2-(9-7)^3+6

Mathematics
1 answer:
Bad White [126]3 years ago
8 0

Answer:142

Step-by-step explanation:

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Instructions: The polygons in each pair are similar. Find the<br> missing side length.
loris [4]

Answer:

missing side length is 12

Step-by-step explanation:

similar means that all correlating pairs of sides have the same ratio (old side length) / (new side length).

so, when we know the ratio of one pair, we can apply it to any other side to calculate the correlating side.

we see, when we go from small to large, that we have the ratio 32/40 = 4/5.

so, multiplying the larger side by this, we get the shorter side.

15 × 4/5 = 3 × 4 = 12

the proportion part in your picture is a bit confusing :

yes,

x/15 = 32/40 = 32/40

I don't know, why this last expression was repeated.

x/15 = 32/40

x = 15×32/40 = 15×4/5 = 3×4 = 12

as you see we get of course the same result doing it that way.

3 0
3 years ago
Can somebody please help me with question number 1
inysia [295]

Answer:

1a: 6.283

b: 51.313

c: 285.1

Step-by-step explanation:

Area of a sector = (angle/360)πr²

1a

Area=(45/360)π(4²)=6.283

b

Area=(120/360)π(7²)=51.313

c

Area=(270/360)π(11²)=285.1

6 0
3 years ago
Any help would be appreciated. Thank you!
trapecia [35]

Answer:

Area =62.5\sqrt{6} square units

AB=5\sqrt{15} units

BC=5\sqrt{10} units

Step-by-step explanation:

In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.

So,

BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units

a. The area of the triangle ABC is

A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units

5 0
4 years ago
What is the measure of angle X ?
Rus_ich [418]

Answer:

65 deg

Step-by-step explanation:

Recall that interior angles of a triangle must add up to 180 deg.

hence

x + 68 + 47 = 180

x = 180 - 68 - 47 = 65 deg

6 0
4 years ago
!! PLEASE HELP!! WILL GIVE U BRAINLYEST!! Write an example of a real world situation using either the diameter of a circle, the
Alborosie

Answer:

Calculation of the distance of a wheel passed.

Step-by-step explanation:

8 0
3 years ago
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