P. АUse the basic proportionto solve the following problem for the unknown quantity. Round your answer to100 Bthe nearest hundredth, if necessary.55 % of 90 is

Answer:

21.9mm

Step-by-step explanation:

6.2+ 15.7 = 21.9

hope this helps....

The required value of y for the given segment AB is given as y = 16, -8.

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

here,
A(0, 4), B(5, y), and AB = 13.

Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]

Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12

y = 16, -8

Thus, the required value of y for the given segment AB is given as y = 16, -8.

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The value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

To perform the calculation and express the answer in standard form, follow these steps:

Multiply 0.045 by 2.05:

0.045 × 2.05 = 0.09225

Divide the result by 0.0025:

0.09225 / 0.0025

= 36.9

Convert the answer to standard form by writing it as a decimal multiplied by a power of 10:

36.9 = 3.69 × 10

Therefore, the value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

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Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

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Answer:

At a real estate agency, an agent sold a house for $339,000. The commission rate is 6.5% for the real estate agency and the commission rate for the agent is 25% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?

commission = commission rate x sales

Step-by-step explanation:

your question is worng

Answer:

Your answer is

Agency= 22,035$

Agent= 5,508.75$

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The y-intercept of the equation is 100

For this problema the y-intercep is equal to the one-time fee

The rate of change of the function h(x) = 2x on the interval 2 ≤ x ≤ 4 is 6.

Step-by-step explanation:

I believe it's 16 1/2. I just used MathPapa lol.

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

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The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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Answer: X=45

Step-by-step explanation:

Angle L's in the triangle LMN is,

⇒ L = 72.54°

We have to given that;

A triangle LMN is shown in figure.

And, The sides are,

Since, We know that;

A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.

Since, We know that;

⇒ sin L = Opposite / Hypotenuse

And, cos L = Base / Hypotenuse

Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.

Now, We can use trigonometry formula to find the value of angle l we get;

⇒ sin L = Opposite / Hypotenuse

⇒ sin L = LM / LN

⇒ sin L = 18/60

Taking arc sin both side, we get;

⇒ L = 72.54°

Therefore, The value of measure of angle L is triangle LMN is,

⇒ L = 72.54°

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Answer:

0.2613

Step-by-step explanation:

Use binomial probability.

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

P = ₇C₂ (0.6)⁵ (0.4)²

P = 0.2613

The variables are as follows:

x = 4

y = 4.8

The lengths of the sides of the kites are 4.5 and 6.8 units.

A kite is a quadrilateral with 2 pairs of consecutive congruent sides. The diagonals are perpendicular in a kite.

The non vertex angles are congruent.

Therefore,

x + 0.5 = 2x - 3.5

2x - x = 0.5 + 3.5

x = 4

y + 2 = 2y - 2.8

2y - y = 2 + 2.8

y = 4.8

Hence,

length of one pair = 4 + 0.5 = 4.5 units

length of the other pair = 4.8 + 2 = 6.8 units

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The line slants downward from left to right, indicating that as x increases, y decreases.

The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1

Dividing both sides by 2:y = (-1/2)x - 1/2

The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).

Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.

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The angles marked x in each of the polygons are 128° and 82° respectively.

Concave polygons are closed two dimensional figures whose at least one of the interior angle is more than 180 degrees.

The given polygons are named as ABCDEFGH and PQRSTU as shown below.

1) An interior angle and a corresponding exterior angles are supplementary.

Interior angle ∠B = 180° - 42° = 138°

Similarly,

Interior angle, ∠E = 180° - 34° = 146°

Also, angle around a point = 360°

Interior angle at G = 360° - 141° = 219°

Sum of the angles of a polygon = (n - 2) 180°, where n is the number of sides.

Here, number of sides, n = 8

x + 138° + 107° + 145° + 146° + 126° + 219° + 71° = (8 - 2) 180°

x + 952° = 1080

x = 1080 - 952

x = 128°

2) The dotted line implies that the shape is symmetrical.

∠Q = ∠U and ∠R = ∠T

∠Q = ∠U = 34°

Exterior angle at T = 87°

Interior angle at T = 360° - 87° = 273°

So ∠R = ∠T = 273°

Again number of sides, n = 6

x + 34 + 273 + 24 + 273 + 34 = (6 - 2) 180

x + 638 = 720

x = 720 - 638 = 82°

Hence the angle are 128° and 82°.

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Answer:

0.125

Step-by-step explanation:

1/8 is the same as 1 ÷ 8

1 ÷ 8 = 0.125

I hope this helped!

Answer:

0.125

Step-by-step explanation:

how i do it it to multiply 125 by 8 that equals 1000.  now, every 125 is 1/8 so there is your answer

Step-by-step explanation:

Distance word problems are a common type of algebra word problems. They involve a scenario in which you need to figure out how fast, how far, or how long one or more objects have traveled. These are often called train problems because one of the most famous types of distance problems involves finding out when two trains heading toward each other cross paths.

In this lesson, you'll learn how to solve train problems and a few other common types of distance problems. But first, let's look at some basic principles that apply to any distance problem.

The basics of distance problems

There are three basic aspects to movement and travel: distance, rate, and time. To understand the difference among these, think about the last time you drove somewhere.

The distance is how far you traveled. The rate is how fast you traveled. The time is how long the trip took.

The relationship among these things can be described by this formula:

distance = rate x time

d = rt

In other words, the distance you drove is equal to the rate at which you drove times the amount of time you drove. For an example of how this would work in real life, just imagine your last trip was like this:

You drove 25 miles—that's the distance.

You drove an average of 50 mph—that's the rate.

The drive took you 30 minutes, or 0.5 hours—that's the time.

According to the formula, if we multiply the rate and time, the product should be our distance.

And it is! We drove 50 mph for 0.5 hours—and 50 ⋅ 0.5 equals 25, which is our distance.

What if we drove 60 mph instead of 50? How far could we drive in 30 minutes? We could use the same formula to figure this out.

60 ⋅ 0.5 is 30, so our distance would be 30 miles.

Solving distance problems

When you solve any distance problem, you'll have to do what we just did—use the formula to find distance, rate, or time. Let's try another simple problem.

Answer:5x

3

+2x

2

+9x+2?×(x

2

+2)

2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"

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Step-by-step explanation:

(a)

g(x) = d/dx [2/√π ∫₀ˣ e^(-t²) dt]

g(x) = 2/√π e^(-x²)

g(-x) = 2/√π e^(-(-x)²) = 2/√π e^(-x²)

g(-x) = g(x)

Therefore, g(x) is even.

(b)

erf(x) = 2/√π ∫₀ˣ e^(-t²) dt

erf(x) = ∫₀ˣ g(t) dt

erf(-x) = ∫₀⁻ˣ g(t) dt

erf(-x) = -∫₋ₓ⁰ g(t) dt

Since g(t) is even, it is symmetrical about x=0.

erf(-x) = -∫₀ˣ g(t) dt

erf(-x) = -erf(x)

Answer:

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Step-by-step explanation:

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The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.

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Check the picture below.

ANSWER

EXPLANATION

We are given that Tyler had 13 plastic animals and each month he collects 4 more.

Let the number of animals be F and the number of months be m.

This means the number of farm animals after m months is:

To find the number of farm animals after 5 months, find the value of F when m is 5

That is the answer.

Answer: kari makes 33 and 51 all together

Step-by-step explanation:

Answer:

16/25

Step-by-step explanation:

64 /4 = 16

100/4 =25