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2 years ago

Please help ! no links please

Mathematics

1 answer:

vodka [1.7K]2 years ago

5 0

All triangles must have angles that add up to the same amount of degrees, so if the two triangles share one exact point, it is assumed that those angles would be the same. Basically just use the fact that the sides are the same and marked by dashes, and the missing line can be proven with the use of the angles that are in between the point that both share.

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Find three consecutive integers whose sum is 51

Elina [12.6K]

X+x+1+x+2=51

3x+3=51
Use inverse operations to solve

subtract 3 from both sides

3x=48

Divide by 3 on both sides

x=16

16, 17, 18

4 0

2 years ago

What is the surface area of the cone? Express your answer in terms of π.b

weeeeeb [17]

Given:

Radius of the cone = 5 ft

Slant height of the cone = 21 ft

To find:

The surface area of the cone

Solution:

Surface area of cone formula:

$SA=\pi r^{2}+\pi r l$

where r is the radius and l is the slant height.

$SA=\pi \times 5^{2}+\pi \times 5 \times 21$

$SA=\pi \times 25+\pi \times 105$

$SA=25 \pi+ 105 \pi$

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The surface area of the cone is 130π square feet.

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3 years ago

Find the equation of the exponential function represented by the table below:

IgorC [24]

Answer:

$y=2^{1-x}$

Step-by-step explanation:

<u>Exponential Function</u>

When we need to express the exponential relation between two variables, we use the equation

$y=Cr^{x}$

where C, r are constants to be determined by using the given points from the table

For x=0, y=2, thus

$2=C.r^{0}=C$

We find that C=2

The equation is now

$y=2r^{x}$

Now we use the point x=1, y=1

$1=2r$

We find that

$\displaystyle r=\frac{1}{2}$

Thus, the equation is

$\displaystyle y=2\left(\frac{1}{2}\right)^{x}$

Rearranging

$y=2(2)^{-x}=2^{1-x}$

The required equation is

$y=2^{1-x}$

We can easily verify the last two points are also obtained by using the equation

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Pani-rosa [81]

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3 years ago

Which number line shows that A is greater than B, and B is greater than C?

kupik [55]

The answer would be b

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2 years ago