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2 years ago

The area of a triangle is 45.5 cm2 and the base is 10 cm. What is the height of the triangle?

Mathematics

2 answers:

Sophie [7]2 years ago

7 0

AREA OF A TRIANGLE:
A=1/2(B)H
45.5=1/2(10)H
45.5=5H
________
5 5
9.1=H

THE HEIGHT IS 9.1 CM.

Rainbow [258]2 years ago

3 0

Triangle Area Formula:
0.5 * Base * Height

SO,
0.5 * 10 * Height = 45.5
5 * Height = 45.5
Height = 9.1

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A circle with radius 3 has a sector with a central angle of 1/9 pi radians

marissa [1.9K]

Complete question:

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

what is the area of the sector?

Answer:

The area of the sector = $\frac{\pi}{2}$ square units

Step-by-step explanation:

To find the area of the sector of a circle, let's use the formula:

$A = \frac{1}{2} r^2 \theta$

Where, A = area

r = radius = 3

$\theta = \frac{1}{9}\pi$

Substituting values in the formula, we have:

$A = \frac{1}{2}*3^2* \frac{1}{9}\pi$

$A = \frac{1}{2}*9* \frac{1}{9}\pi$

$A = 4.5 * \frac{1}{9}\pi$

$A = \frac{\pi}{2}$

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3 years ago

Find the value of x.

allsm [11]

Answer:

$3 \sqrt{5}$

Step-by-step explanation:

x is the center of the circle.

the chord of length 12 can be splitted into two parts of 6 length each.

since the radius does not change when it touches another end of the circle, we can safely calculate our radius to be the hypotenuse of the triangle formed by the length of the chord and 3.

The explanation is given in the picture

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2 years ago

If x = -12, y = -3; find xy?

wolverine [178]

Given that :- 

x = -12
y = -3

To Find :- 

Value of xy

Solution :- 

☆ When a negative digit is multiplied with negative digit then the result comes as positive digit .

→ x × y = (-12)(-3)

→ x.y = 36

So the answer is 36.

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2 years ago

Read 2 more answers

F(x) = x+ + 3 g(x) = 4x - 3 Given the functions below find (f*g)(-1)

Mashutka [201]

(f×g)(-1) is -14.

Step-by-step explanation:

Step 1: Calculate (f×g)(x) by using the formula (f×g)(x) = f(x) × g(x)

⇒ (f×g)(x) = (x + 3)(4x - 3)

⇒ (f×g)(x) = 4x² - 3x + 12x - 9

⇒ (f×g)(x) = 4x² + 9x - 9

Step 2: Find (f×g)(-1) by substituting -1 in the place of x

⇒ (f×g)(-1) = 4(-1)² + 9(-1) - 9

⇒ (f×g)(-1) = 4 - 9 - 9 =-14

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3 years ago

The mid point of ST is M=(-2,3). One end point is S=(4,-2). Find the coordinates of the other endpoint. T

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