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2 years ago

Find the product of-10/5 x (-15/5)

Mathematics

2 answers:

taurus [48]2 years ago

7 0

Answer:

Step-by-step explanation:

Equation: $-\frac{10}{5}\cdot -\frac{15}{5}$

1). Apply $-a(-b)-ab$ : $-\frac{10}{5}(-\frac{15}{5}=\frac{10}{5}\cdot \frac{15}{5}$

2). $\frac{10}{5}$ simplfies to 2, so $2\cdot \frac{15}{5}$

3). $2\cdot 3$

ikadub [295]2 years ago

6 0

Answer:

Step-by-step explanation:use math- way it will help you in future

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3 years ago

What is the approximate area of a sector given O= 56 degrees with a diameter of 12m?

jeyben [28]

Area of sector is 17.584 meters

Solution:

Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m

Diameter = 12 m

Radius = Diameter / 2 = 6 m

An angle of 56 degrees is the fraction $\frac{56}{360}$ of the whole rotation

A sector of a circle with a sector angle of 56 degrees is therefore also the fraction $\frac{56}{360}$ of the circle

The area of the sector will therefore also be $\frac{56}{360}$ of the area

$\text{ sector area } = \frac{56}{360} \times \pi r^2\\\\\text{ sector area } = \frac{56}{360} \times 3.14 \times 6^2\\\\\text{ sector area } = 17.584$

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3 years ago

The diagram shows two nested triangles that share a vertex.Find a center and a scale factor for a dilation that would move the l

nasty-shy [4]

Transformation that changes the size of a shape is referred to as dilation.

The scale factor that moves the large triangle to the small one is 1/5
The center of dilation is: (-1,1)

The center of dilation

From the diagram (see attachment), the triangles share a common vertex at (-1,1)

This means that, the center of dilation is (-1,1)

The scale factor of dilation

To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.

From the attached image:

$\mathbf{Base\ of\ small\ triangle = 1}$

$\mathbf{Base\ of\ large\ triangle = 5}$

So, the scale factor (k) from large to small is:

$\mathbf{k = \frac{Base\ of\ small\ triangle}{Base\ of\ large\ triangle} }$

$\mathbf{k = \frac{1}{5} }$