use the figure to the right to find the value of PT

ANSWER

Ratio of A to B = 2.99 (to 2 decimal places)

Ratio of B to A = 0.33 (to 2 decimal places)

A is 299% of B (to nearest integer)

STEP BY STEP EXPLANATION

for ratio of A to B:

for ratio of B to A:

A is x % of B:

Hence, the ratio of A to B = 2.99 (to 2 decimal places), B to A = 0.33 (to 2 decimal places) and A is 299% of B (to nearest integer).

Solution

- In order to solve the question, we need to understand the rules guiding the translation of graphs. This rule is given below:

- The question given to us has h = 8. This means that h is positive, therefore, the graph of f(x) must be shifted to the left by 8 units

Final Answer

The answer is "Shifted Left" (OPTION B)

In general, a quadratic equation can be written in terms of its solutions:

Now, notice that:

when x= -1/2, and it is equivalent to:

Therefore, you can write the quadratic equation as:

Computing the above multiplication, you get:

Simplifying the above equation you get:

Let

x -----> the missing number

we know that

80%=80/100=0.80

so

0.80x=20

solve the linear equation for x

Divide by 0.80 both sides

x=20/0.80

x=25

the answer is 25

Use the formula for the area of a circle:

First, we need to find the radius r. Since the radius is half the diameter, then:

Substitute the value for r in the formula for the area of the circle:

Therefore, the area of a circle of diameter 10.5 in is approximately 86.6 squared inches.

If you're marking the fish tank up by 20%, it means you're looking to sell it at 120% of its original value.

Now, let's use a rule of three to calculate such percentage:

Thereby,

The selling price would be $42

Answer:

Step-by-step explanation:

If each value of x only has one corresponding value of y, it is a function. You can test this just by eye or by graphing and doing the vertical line test by rolling a pencil or other straight object across to make sure only one point is on the line at a time

It is given that the boy owns 6 pairs of pants, 8 shirts, 2 ties, and 3 jackets.

It is also given that he must wear one of each item.

Recall the Fundamental Counting Principle:

The same is valid for any number of events following after each other.

Hence, the number of different outfits he can wear by the counting principle is:

Evaluate the product:

The number of different outfits he can wear is 288.

The below formula is used to find the circumference of a circle;

But we know that the diameter of a circle is expressed as;

Let's replace 2r with d in the 1st equation, we'll then have;

We've been told that the diameter of the circle is 20inches, if we substitute this value into our equation, we'll have;

Solve x:

Answer:

4w+8

Step-by-step explanation:

x = 3, y = 2

The equations are:

x + y = 5......................(1)

y - 2x = -4...................(2)

Make x the subject of the the formula

x = 5 - y...............(3)

Substitute equation (3) into equation (2)

y - 2(5 - y) = -4

y - 10 + 2y = -4

3y = -4 + 10

3y = 6

y = 6 / 3

y = 2

Substitute the value of y into equation (3)

x = 5 - 2

x = 3

Let 175% of 48 be y.

This implies that

To evaluate y,

Hence, 175% of 48 is 84.

First, we graph the trapezoid and the line

If we reflect the figure across the line y = 1, then we get the following figure

As you can observe in the graph, the vertices would be J'(-4,-1), K'(-2,-5), L'(2,-5), and M'(3,-1).

Solution:

Let the total field to plow be 100 %

According to the question,

The field plowed before lunch is shown below:

15 acres field = 30%

30 % field = 15 acres

1 % field = 15/30 acres

The field plow after lunch is 70%.

Final Answer:

Therefore, the field to plow after lunch in order to finish the field is 35 acres.

All the x-values that satisfy the function - Domain

Translating the sine or cosine curve up or down - Vertical shift

How long a given function takes to repeat itself - Period.

A horizontal shift of a sine or cosine function- Phase shift

All the y-values that satisfy the function- Range

Distance from the horizontal axis or midline to the maximum and minimum points - Amplitude

Answer:

All the points given (-2,7) (-2,1) (-2,-5) have the x-coordinate of -2, then those points lie in the x=-2, so it matches the table.

1) The best way to tackle questions like this is to locate the x-intercepts. Since according to the options the leading coefficient is 1, we just need to locate the zeroes and plug them into the quadratic equation form, in its factored form.

2) So now, let's write out the factored form and plug the zeroes into them:

1. slope= 2

2. slope=2

3. slope= 1/3

4. slope indefinite, vertical line

Explanation

Step 1

the equation is given in slope(m) - intercept(b)

Step 2

when you have two points of a line, P1 and P2 the slope is given by:

Let

P1(-2,-4) P2(-1,-2)

replace

Step 3

similar to the #1. ,the equation is given in slope(m) - intercept(b)

Step 4

let

Sara spent 15 minutes longer than (the difference is 15 min) Mia in her homework.

According to the question,

We have the following information:

Sara spent 35 minutes on math homework and 20 minutes on reading homework. Mia spent a total of 40 minutes on reading and math homework.

So, it means that the total time spent by Sara in her homework is:

35+20 minutes

55 minutes

So, the differences between their time spent in her homework (will give us the more time taken by Sara) is:

Time spent by Sara in her homework-time spent by Mia in her homework

(55-40) minutes

15 minutes

Hence, Sara spent 15 more minutes than Mia.

To know more about difference here

https://brainly.com/question/13082243

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Apply the angles sum property in the triangle ABC,

Similarly, apply the angles sum property in triangle BCD,

From triangle ABC,

From triangle BDC,

Now, consider that,

So the triangle BDE is also a right triangle, and the trigonometric ratios are applicable.

Solve for 'x' as,

Thus, the value of the angle 'x' is 57.3 degrees approximately.ang

• We are given that Faith paid $132 for 24 months.

So; 132 * 24 = $3168

• Since we know that Faith initially borrowed $2250

Interest paid = $3168 - $2250

= $918

• Option C is the correct choice.

Given that;

To get f(19), let's substitute 19 for x in the function f(x);

Therefore, the value of f(19) is;

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

A(t) = 800e^(-0.86t)

Step 02:

Rate of change

t1 = 0

A(t) = 800e^(-0.86t)

A(t) = 800e^(-0.86*0)

A(0) = 800

t2 = 5

A(t) = 800e^(-0.86t)

A(t) = 800e^(-0.86*5)

A (t) = 800e^(-4.3)

A(5) = 10.85

Step 03:

Okay, here we have a Combination Problem, we need just multiply to get the answer, of this mode:

She can wear 315 outfits.

Solution:

Remember that the Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. According to this, the correct answer is:

C.

To solve this problem we have a formula at hand: the mean (m) number of credits cards is

Then,