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Answer: 5

Step-by-step explanation: 180-175=5

Answer:

See Explanation

Step-by-step explanation:

Given

New function: [tex]y = 3 \cos(10 (x -\pi))[/tex]

We can assume the parent function to be:

[tex]y = \cos (x)[/tex]

The new function can be represented as:

[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex]

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex] to [tex]y = 3 \cos(10 (x -\pi))[/tex]

[tex]A = 3[/tex]

[tex]c = \pi[/tex]

[tex]\frac{2\pi}{B} = 10[/tex]

Solve for B

[tex]B = \frac{2\pi}{10}[/tex]

[tex]B = \frac{\pi}{5}[/tex]

Using the calculated values of [tex]A,\ B\ and\ c.[/tex] This implies that, the following transformations occur on the parent function:

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.

Answer:

Q5: S.A = 216 cm²

Q6: S.A = 254 cm²

Step-by-step explanation:

Q5:

Surface area of a cube = 6a²

a = 6 cm

Plug in the value of a

Surface area of the cube = 6(6²)

= 6(36)

S.A = 216 cm²

Q6:

Given:

Length (L) = 9 cm

Width (W) = 4 cm

Height (H) = 7 cm

Required:

Surface area

Solution:

Surface area of the rectangular prism = 2(LW + LH + HW)

Plug in the values

S.A = 2(9*4 + 9*7 + 7*4)

= 2(36 + 63 + 28)

= 2(127)

S.A = 254 cm²

Answer:

No

Step-by-step explanation:

y=7x

21=7(2)

21=14

It is not since the values are not equal.

Brainliest? :o

No, the pair of coordinates (2,21) is not a solution for the equation; y=7x

According to the question;

Hence, by testing the coordinates in the equation; y=7x, we have;

Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.

Read more on solution of an equation;

https://brainly.com/question/1397278

Answer:

The factored expression is 2(x² + 5)(x + 3).

Step-by-step explanation:

Hey there!

We can use a factoring technique referred to as "grouping" to solve this problem.

Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.

Grouping works in the following matter:

Let's apply these steps to the given equation.

As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.

Now, we use our GCFs to create another factor.

Finally, we'll need to simplify this one by taking another GCF, 2.

Now that we have this term, we need to understand that this could also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.

Therefore, we have our final factors: 2(x² + 5) and (x + 3).

However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).

Answer:

D.39

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2 (Where a and b are the legs of the triangle and c is the hypotenuse)

Using this:

(AB)^2+(AC)^2=(BC)^2 (Pythagorean theorem)

15^2+36^2=(BC)^2 (Substitution)

225+1296=(BC)^2

(BC)^2=1521

BC=39

Answer:

D. 39

Step-by-step explanation:

The three interior angles of a right triangle always have a sum of 180°, and right angles always equal 90°.

Adding the angles shown here,

36+15+90 = 141

And, 180 - 141 = 39°.

Therefore, the length of angle BC is 39°.

Answer:

V≈24429.02

Explanation:

V= [tex]\frac{4}{3}[/tex] π r³

Answer:

1

Step-by-step explanation:

→ Write down slope formula

[tex]\frac{y2-y1}{x2-x1}[/tex]

→ Identify the values

y₂ = 9, y₁ = 6, x₂ = 6 and x₁ = 3

→ Substitute in values into formula

[tex]\frac{9-6}{6-3}[/tex]

→ Simplify

1

Answer:

For number one it would be a closed circle poiting to the left because it is a negative number and it is not equal to or less than anything.

For number 2 a possible solution will be 2^2-2 which would equal 2 because 2^2=4 then 4-2=2

I hope this helps you!!

Answer:

C

Step-by-step explanation:

Considering the situation, the hypotheses set that would determine if the proportion of households that support starting school earlier has changed this year is given by:

[tex]H_0: p = 0.65, H_\alpha: p \neq 0.65[/tex]

At the null hypotheses, it is tested if there has been no change, that is, the proportion is still of 0.65 = 65%, hence:

[tex]H_0: p = 0.65[/tex]

At the alternative hypotheses, it is tested if there has been a change, that is, the proportion is not of 0.65 = 65% anymore, hence:

[tex]H_\alpha: p \neq 0.65[/tex]

More can be learned about an hypotheses test at https://brainly.com/question/26454209

Answer:

Hello! your answer would be, 4 HOURS

Step-by-step explanation:

38 - 10 = 28

28 / 7 = 4

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Answer:

22

Step-by-step explanation:

Answer:

so it should be a,c,e, and b

Step-by-step explanation:

49s square root is 7 and 7 is an integer so check.

7 is a whole number check

7 is rational check

and 7 is a real number check.

Answer:

-12a2 + 9a - 5

Step-by-step explanation:

the 2 should be small

Answer:

movie theatre = 20 hours

car wash = 10 hours

Step-by-step explanation:

this would be solved using simultaneous equation

let a = hours worked in theatre

b = hours spent wash cars

15a + 18b = 480 eqn 1

a + b = 30      eqn 2

multiply eqn 2 by 15

15a + 15b = 450 eqn 3

subtract 1 from 3

3b = 30

b = 10 hours

substitute for b in eqn 2

a + 10 = 30

a = 20 hours

Answer:

B

Step-by-step explanation:

Answer:

B. 0.8(9+w)

Step-by-step explanation:

By combining like terms you will get an equation of 7.2 + 0.8w. I noticed this could be simplified further by grouping and got answer B.

Answer:

X=37.6 because the 90 degree angle plus the 52.4 equals 142.4 the subtract that from 180 then ta da.

Answer:

the answer is f(2)= - 1

Step-by-step explanation:

i took the test i failed it but i get that right.

Answer:

f(2) = -1

Step-by-step explanation:

took the test

Answer:

I think we are missing part of the question.

But if it's looking for how many students rode the bus and van on the way to the museum when the ratio was 2:5, it's 16 students in the van and 40 students in the bus.

On the way home, it was 14 students in the van and 42 students in the bus,   the ratio changes to 1:3

Answer:

80

Step-by-step explanation:

Answer:

(x-1.3)^2 + (y+3.5)^2 = 37

In general, (x-c)^2 + (y-k)^2 = r^2 where (c,k) is the center and r is the radius.

So if the circle with radius 5 has center (3,-4) then it's equation is:

(x-3)^2 + (y+4)^2 = 25

Notice that the second term is (y+4)^2 because the y-coordinate is -4 and y-(-4) = y+4

Answer:

1rotation translation dilation

2dilation

3the relationship is the shapes are the same just dilated and in different spots. The shapes are in different spots and are different sizes ut they are the same shape making them related.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Answer:

2.99792458 × 10∧8 m/s

Step-by-step explanation:

If you want you can shorten the decimal number. m/s means meters per second.