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3 years ago

Someone help me out please

Mathematics

1 answer:

Levart [38]3 years ago

3 0

Answer:

33 ft.

Step-by-step explanation:

First, you would put the x at the opposite side, because that's what the problem is asking for, the distance between the ground and the top of the ladder. Then, because it is opposite and adjacent, you use tangent to solve the problem. Equation: tan(70)=x/12, tan=opp/adj. Then, cross multiply and get x=12(tan(70)), and then multiply to get 32.97 and round up to 33 ft.

(hope this helps!!)

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Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7$

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

2 10

4 20

6 30

8 40

Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5$

The rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

5 0

3 years ago

Verify sin^4 x - sin^2 x = cos^4 x - cos^2 x is an identity

Citrus2011 [14]

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2

sin(x)^2 = 1 - cos(x)^2:

sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2

-(1 - cos(x)^2) = cos(x)^2 - 1:

cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2

sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:

-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2

(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:

-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2

-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:

cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2

The left hand side and right hand side are identical:

Answer: (identity has been verified)

3 0

3 years ago

Describe the transformation that takes f(x)=x+1 to g(x) = -x+4. Will Mark Brainliest.

lions [1.4K]

Answer:

Reflection across y axis

Translate up by 3 units

Step-by-step explanation:

Given

$f(x) = x + 1$

$g(x) = -x + 4$

Required

Describe the transformation from f(x) to g(x)

First, take a reflection of f(x) across the y axis.

So f(x) becomes f(-x)

$f(x) = x + 1$ when reflected

$f(-x) = -x +1$

Next, translate f(-x) up by 3 units to give g(x)

$g(x) = f(-x) + k$

Where

$k = 3$

$f(-x) = -x +1$

$g(x) = -x + 1 + 3$

$g(x) = -x + 4$

Hence, the transformation from f(x) to g(x) includes:

Reflection across y axis

Translate up by 3 units

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3 years ago

Your elevation is 2/5 of the fishes new elevation what is your elevation

Ray Of Light [21]

I need more detail like what the elevation of the fishes are

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3 years ago

The price of a new home is $126,000. The value of the home appreciates 2% each

adelina 88 [10]

A(10) =126,000 (1.02)^10 = $153,593.30

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3 years ago