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Karolina [17]
3 years ago
13

Please help me w/ iready

Mathematics
1 answer:
kirill [66]3 years ago
8 0

Answer:

45 = 45

or

just 45.

Step-by-step explanation:

a = 6 , b = 2

3(6) + 4(2)^3 - 5 = 3(6) + 4(2)^3 - 5 (Given)

18 + 32 - 5 = 18 + 32 - 5 (Solve parenthesis)

45 = 45 (combine like terms)

45 does equal 45 so there is the solution. There is infinite many solutions.

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Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tent
nalin [4]

Answer:

The last one (x=11.3, y=8).

Step-by-step explanation:

1) There are three trigonometric ratios for right-angled triangles.

sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}

In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.

2) In this case, we are given a length and an angle to find x and y.

Let's find x first. To find x we need to use sin()=\frac{opposite}{hypotenuse}.

sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31

Find y.

Notice that, we can use the Pythagorean Theorem (c^2=a^2+b^2) to find y.

c^2=a^2+b^2

11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99

3) Round them off to the nearest tenth.

x=11.31\\x=11.3

y=7.99\\y=8

Therefore, the correct choice is the last one (x=11.3, y=8).

4 0
3 years ago
Prove the divisibility of the following numbers: 5^23−5^21 by 24
vodka [1.7K]
5^23 - 5^21 = 5^(21+2) - 5^21
5^23 - 5^21 = 5^21*5^2 - 5^21*1
5^23 - 5^21 = 5^21*(5^2 - 1)
5^23 - 5^21 = 5^21*(25 - 1)
5^23 - 5^21 = 5^21*24
5^23 - 5^21 = 24*5^21
5^23 - 5^21 = 24*k

The original number is in the form 24k where k = 5^21, so this proves that the original number is a multiple of 24

6 0
4 years ago
Read 2 more answers
Here is a less obvious example of a linear function. Imagine putting a rope around the Earth. Make it nice and snug. Now add 33
cluponka [151]

Answer:

A person who has height less than 5.2521 m can walk under the rope without hitting his/her head.

Step-by-step explanation:

Radius of earth = R

Length of rope around Earth = Circumference of Earth = 2πR

Now add 33 m to the length of the rope that means to increase the circumference

C = 2πR+33

Now,

C = 2πR'

⇒2πR' = 2πR+33

In order to find the height we need to find difference of the radii

⇒2πR'-2πR = 33

\\\Rightarrow R'-R=\frac{33}{2\pi}\\\Rightarrow R'-R=5.2521\ m

So, a person who has height less than 5.2521 m can walk under the rope without hitting his/her head.

8 0
3 years ago
Ari’s chickens eat their pellets at a constant rate throughout each day.
oksano4ka [1.4K]
If we make the days and ounces be in the ordered pair, the points are: (2, 39), (4, 33), (6, 27), and (8, 21). We may use linear regression from the calculator using the equation,
                                   y = Ax + B
where A is the slope. The value of A from the linear regression is equal to -3. 
4 0
3 years ago
A line passes through the points (4,-4) and (8,12). What is the y-intercept of the line ?
fredd [130]
\frac{y2-y1}{x2-x1}= \frac{y-y1}{x-x1} = \frac{12-(-4)}{8-4}= \frac{y-(-4)}{x-4}
\frac{16}{4}= \frac{y-(-4)}{x-4 }  
= 4(x-4)=(y+4)
4x-16=y+4

4x=y+4+16
4x=y+20
y=4x-20


3 0
3 years ago
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