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3 years ago

Bethany added a decorative border across the top of each wall of her kitchen. A diagram of her kitchen is shown below.

Mathematics

2 answers:

mario62 [17]3 years ago

8 0

The answer is your mom. Nah it’s B)10

Fittoniya [83]3 years ago

5 0

For this case we have that the perimeter of the figure is given by the sum of its sides, they tell us that the perimeter is 62 feet.

So:

Let "x" be the variable that represents the length of the unlabeled wall, so the perimeter is:

$x + 8 + 5 + 13 + 18 + 8 = 62$

We find the value of "x":

$x = 62-8-5-13-18-8\\x = 10$

Thus, the length of the unlabeled wall is 10 feet.

Answer:

Option B

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If θ is an angle in standard position and its terminal side passes through the point (-7,-5), find the exact value of cot ⁡ θ co

tresset_1 [31]

Plot the point (-7, -5). We are in quadrant 3.

We also know that tan θ = opp/adj.

Cot θ = adj/opp.

Let us use a^2 + b^2 = r^2 to show you how to find r, the radius aka hypotenuse.

Look: (-7)^2 + (-5)^2 = r^2

If you should ever need to find r, do this:

(-7)^2 + (-5)^2 = r^2

(49) + 25) = r^2

74 = r^2

Take the square root on both sides of the equation to find r.

sqrt{74} = sqrt{r^2}

sqrt{74} = r

It is ok to simplify the sqrt{74} but not needed.

We now have the three sides of the triangle that is form in quadrant 3.

We can now read cot θ from the triangle itself.

So, cot θ = adj/opp = (-7)/(-5) or 7/5.

No need to find r but I simply wanted to show you how it's done in case you are given a question where r must be found.

4 0

3 years ago

A pair of parallel lines is cut by a transversal What are the measures of the two marked angles?

krok68 [10]

Answer:

A 40 and 40

Step-by-step explanation: if two of the angles were cut by a transversal you would get A as an answer i think....

8 0

3 years ago

Help me please!! i wasn’t at school the day so help meee

drek231 [11]

Answer:

g is right its 66 cents

Step-by-step explanation:

you would divide 82.49 by 125 and then round to the nearest hundredth

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3 years ago

Read 2 more answers

Please help me with this question. Algebra 2 is hard!!

trapecia [35]

Answer:

domain: {x ∈ ℝ : x ≤ 5}
range: {y ∈ ℝ : y ≤ -1}

Step-by-step explanation:

Domain

The domain of a function is the set of x values for which the function is defined. Here, the domain is limited by the values of x that make the square root defined. That is, the expression under the radical cannot be negative:

-3x +15 ≥ 0

15 ≥ 3x . . . . . . add 3x

5 ≥ x . . . . . . . . divide by 3

x ≤ 5 . . . . . . . . put x on the left (swap sides)

The rest of the notation in the domain expression simply says x is a real number.

domain: {x ∈ ℝ : x ≤ 5} . . . . . . matches the first choice

Range

The range of a function is the set of values that f(x) can have. We know the square root can be zero or any positive number. When it is zero, f(x) = -1.

When it is a positive number, that value is multiplied by -4 and added to -1, so f(x) is a number more negative than -1. Then the range of the function is all numbers -1 and below:

range: {y ∈ ℝ : y ≤ -1} . . . . . . matches the last choice

_____

Comment on domain/range problems

When working domain and range problems, it works well to have a good understanding of the domain and range limitations of the functions we usually work with: polynomials, square root, logarithm, trig functions, exponential functions. Domain and range problems generally involve combinations of these or ratios of combinations of these.

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3 years ago

Verify the identity: cos(a+B)/cos a sin B = cot B -tan a

alexgriva [62]

Cos( A + B ) = cosAcosB - sinAsinB ;
cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;

5 0

3 years ago