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3 years ago

Plzz help and give steps

Mathematics

2 answers:

algol [13]3 years ago

6 0

Answer D is cause of the rate and the answer will be D cause of the graph

LuckyWell [14K]3 years ago

5 0

Answer:

D, because his ratw of change ia going up quicker then the othera. will you ease attempt to help me out on my most previous question? its for a test, and i have no idea what im doing.

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How Much Weight Does An Average 17 Year Old Bench

maxonik [38]

It should be 185 pounds. Have a GREAT day!!!!! :)

8 0

3 years ago

) f) 1 + cot²a = cosec²a

notsponge [240]

Answer:

It is an identity, proved below.

Step-by-step explanation:

I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.

First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).

$\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}$

csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.

$\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}$

Another identity is:

$\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}$

Therefore:

$\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}$

Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.

$\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}$

Another identity:

$\displaystyle \large{\sin^2x+\cos^2x=1}$

Therefore:

$\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}$

Hence proved, this is proof by using identity helping to find the specific identity.

6 0

3 years ago

In the diagram below what is the relationship between the number of rectangles in the perimeter of the figure they form?

Wewaii [24]

Answer:

the correct answer is the third one. (1, 16), (2, 20), (3, 24)

Step-by-step explanation:

A perimeter is a path that surrounds a two-dimensional shape.

In the first case, 1 rectangle, the perimeter is the sum of all the sides:

Perimeter = 6 + 2 + 6 + 2 = 16

In the second case, 2 rectangles, the perimeter is the sum of all external sides:

Perimeter = 6 + 2 + 2 + 6 + 2 + 2 = 20

In the third case, three rectangles, the perimeter is the sum of all external sides:

Perimeter = 6 + 2 + 2 + 2 + 6 + 2 + 2 + 2 = 24

In none of the cases, you take into consideration the interal sides. Just the external sides, so the correct answer is the third one.

8 0

4 years ago

The volume of a rectangular prism is 75 cubic inches. The height is 3 inches.

mylen [45]

Answer:

A) 5 in. long and 5 in. wide

Step-by-step explanation:

Given:

Volume of a rectangular prism = 75 cubic inches

Height of prism = 3 inches

Volume of a rectangular prism is given by = $l\times w\times h$

where $l$ representslength of base, $w$ represents width of base and $h$ represents height of the prism.

We will check the choices given by finding the volume for the given dimensions of length and width while height remains the same and see if it matches with the given volume of the prism.

A) $l=5\ in$ $w=5\ in$

Volume of prism = $5\times 5\times 3=75\ in^3$

B) $l=10\ in$ $w=2\ in$

Volume of prism = $10\times 2\times 3=60\ in^3$

C) $l=5\ in$ $w=4\ in$

Volume of prism = $5\times 4\times 3=60\ in^3$

D) $l=15\ in$ $w=5\ in$

Volume of prism = $15\times 5\times 3=225\ in^3$

So, we see that the dimensions given in option A would give the volume of prism = 75 cubic inches.

4 0

4 years ago

Acuve

emmasim [6.3K]

Answer:

choice C

Step-by-step explanation:

First, you need to know that this is the Fibonacci Sequence, a series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... where the next number is found by adding up the two numbers before it.

So, if we want to find the next 3 terms...

5+8=13

8+13=21

13+21=34.

So, your answer is choice C

8 0

4 years ago