Solve for a.
ab +c= d.

Answer:

  B)  15/17

Step-by-step explanation:

You want the sine of acute angle A in the right triangle shown.

The sine of the angle is the ratio ...

  Sin = Opposite/Hypotenuse

We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)

The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.

The value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.

Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.

The sine of angle A is 15/17.

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Carey's graph will be a straight line with a slope of -1 and a y-intercept of 3.

Carey correctly graphs a linear function with a slope of -1 and a y-intercept of 3. A linear function is represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is -1, which means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1 unit. The y-intercept is 3, indicating that the graph intersects the y-axis at the point (0, 3).

To plot the graph, Carey starts by marking the point (0, 3) on the graph. Then, for every unit increase in the x-coordinate, Carey moves one unit downward. Similarly, for every unit decrease in the x-coordinate, Carey moves one unit upward. These steps ensure the correct slope of -1.

After connecting the points, Carey will obtain a line that starts at the y-intercept (0, 3) and slants downward, with a slope of -1. The resulting graph will be a straight line extending to both sides of the coordinate plane.

In conclusion, it is represented by the equation y = -x + 3.

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The measure of the variable 'b' from the line is 11

Collinear points are points that lies on the same straight line. From the given diagram:

XY = YZ  (since Y is the midpoint of XZ)

where:

XY = 2b + 7

YZ = 3b - 4

Substitute the given parameters to have:

2b + 7 = 3b - 4

2b - 3b = -4 - 7

-b = -11

b = 11

Hence the measure of the value of b from the line is 11

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141.6891

hope this is right

The product of 418 and 53 is 22,154

Given the expression 418 x 53. Using the partial product, this can be simplified as:

418 x 53 = (400 + 18)(50 + 3)

Expand using the distributive law:

418 x 53 = = 400(50) + 400(3) + 18(50) + 18(3)

418 x 53 = 20000 + 1200 + 900 + 54

418 x 53 = = 22,154

Hence the product of 418 and 53 is 22,154

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The price of the item now is $8 after an 80% reduction. To find the price of the item after the 80% reduction, you can follow these steps:

1. Calculate the amount of the reduction: 80% of $40.

2. Subtract the reduction amount from the original price to get the final price.

Step 1: Calculate the amount of the reduction:

80% of $40 = 0.80 * $40 = $32

Step 2: Subtract the reduction amount from the original price:

Original Price - Reduction Amount = $40 - $32 = $8

So, the price of the item now is $8 after an 80% reduction.

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Answer:

The answer is 12 I believe

Step-by-step explanation:

You just want to add all the numbers you already have and subtract that with your perimeter to get 12. So 7+15+16=38; 50-38=12.

Answer:

3619.11 or 3619.1

Step-by-step explanation:

i don't really know how to explain but that's what i got

Answer:

3,619.1 cm^3

Step-by-step explanation:

\(V=\pi r^{2}\frac{h}{3} \\V=\pi 12^{2} \frac{24}{3} \\V=3,619.115\)

Answer:

3/4 is your answer.

I HOPE IT WILL HELP YOU.

I HOPE You Will Have a great day ahead.

Answer:

ZYW = 17.

Step-by-step explanation:

ZYW = XYW = 180 - 133 + 30(sum of angles in a triangle) = 17.

The measure of angle ZYW is 17.

Given that,

Based on the above information, the calculation is as follows:

= 180 - 133 - 30

= 17

Also ZYW = XYW

Therefore we can conclude that the measure of angle ZYW is 17.

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The correct option regarding the mean of X + Y is given as follows:

a. MX+MY.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

Hence, when two variables are added, we can add their means, as we add all the observations and divide by the number of observations, considering the two variables.

This means that the correct option is given by option A.

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Answer:

1:2.5

Step-by-step explanation:

Divide both side by 12 and you would get 1:2.5

The ratio of 12:13 in the form 1:n is  1:2.5.

We have given that the ratio

12:30

We have to write the given ratio in the form of 1:n.

The two quantities, normally expressed as the quotient of one divided by the other.

That means numerator should be one,

So,divide both side by 12

Therefore we get,

\(\frac{\frac{12}{12} }{\frac{30}{12} } =\frac{1}{2.5}\)

Therefore 1/2.5 can be written as 1:2.5.

Therefore we get the ratio of 12:13 in the form 1:n is  1:2.5.

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EXPLANATION

In order to turn 8x -4y = 20 into slope-intercept form, first we need to consider that the generic slope-intercept is given as follow:

y = mx + b

Where m is the slope and b is the y-intercept

Since our equation is 8x -4y = 20, we must subtract 8x from both sides:

8x - 8x -4y = 20 - 8x

Adding similar terms:

-4y = 20 - 8x

Dividing both sides by -4:

y= 20/-4 -(8/-4)x

Simplifying:

y = -5 +2x

Rearranging terms:

y = 2x -5

Answer: the slope-intercept form is y= 2x -5

Answer:

C. 141 degrees

the sum of all angles is 360

390 - 90 - 53 - 76 = 141

Step-by-step explanation:

Answer:

I am not completely sure, but I know that it is more than 90 degrees if that helps.

Step-by-step explanation:

1.25

Given expression:

\(-1.25+2.5\)

A few changes were made to the expression.

Those were the following:

Subtract using column subtraction method:

             \(4\)

______________

      \(2 \ \ . \ \ 5 \ \ \ \ \ 0\)        

\(- \ \ \ 1 \ \ . \ \ 2 \ \ \ \ \ 5\)

______________

      \(\ \ \ 1 \ \ . \ \ 2 \ \ \ \ \ 5\)

Thus, the sum of −1.25 and 2.5 is 1.25.

In this case, the first addend is the digit in the front of the expression.

⇒ a + b

⇒ a is the first addend

Thus, the first addend is -1.25.

The sum is the addition of two or more digits.

⇒ a + b = c

⇒ c is the sum

Thus, the sum is 1.25, which we calculated above.

Finally, let's plot the sum and the first addend on the number line.

Let's see

Answer:

D?

Step-by-step explanation:

I'm not completely sure, but there are 2 different 180 degree lines that y falls on. On one line (y+70=180) it is for sure 110 degrees

When measured on the other line it is (y+70+x=180) I'm not too familiar with this??

Answer:

x = 177/19 or ≈9.32

Step-by-step explanation:

To solve for x, first solve the exterior angle. Straight angles always equal 180° so in order to solve the exterior angle, add [(19x + 3) -180] to 19x+3

[(19x + 3) -180] + (19x+3) = 180 simplify by adding like terms

(19x - 177) + (19x + 3) =180

38x - 177 + 3 = 180

38x - 174 = 180 now solve for x, add 174 to 180

38x = 354 now divide 38 by 354

x = 177/19  or ≈ 9.32

To check x = 177/19, put it back into the equation [(19x + 3) -180] + (19x+3) = 180 {[19(177/19) + 3] -180} + [19(177/19)+3] = 180

It does equal 177/19

To solve for each angle, you would substitute x for 177/19

The bottom right angle: 6 (177/19) + 15 = 70 17/19 or ≈ 70.89

The top angle: 9 (177/19) + 16 = 99 16/19 or ≈ 99.84

To solve for the bottom left angle, you would add the other angles, then subtract the sum from 180 because all triangles equal 180°. This is the method I will use.

You could also substitute x for 177/19 in the equation 19x + 3, then subtract the product from 180.

The bottom left angle: (1347/19 + 1897/19) - 180 = 9 5/19 or ≈ 9.26

I hope this helps you, have a nice day

The given series is convergent and the first term is 4 and the common ratio is -0.5 and the sum of the series is 8/3 .

The given series is 4 - 4/2+ 4/4 - 4/8 +...

We can see that the first term of the geometric series is 4

Hence a = 4

The second term is  -4/2 and the third term is 4/4

Hence r = 4 ÷ (-4/2) = -4/2 ÷ 4/4 = - 1/2 or -0.5

Since the common ratio is less than 1 we can say that the series is convergent.

Now for a convergent series we know that the sum of the terms of the series is equal to

S = a / (1-r)

or, S = 4 / (1-(-0.5))

or, S = 4 / 1.5

or, S = 8/3

Hence the sum of the convergent series is 8/3 .

Both the ratio test and the root test are based on a comparison with a geometric series and hence function in comparable scenarios.

In fact, if the ratio test works (that is, if the limit exists and is not equal to 1), then so does the root test; the contrary is not true. The root test is thus more broad, although in practise, determining the limit for regularly encountered kinds of series is frequently challenging.

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GIVEN:

We are told that a school wants to estimate the number of students who drive to school.

Required:

To determine which survey would best represent the entire student population..

Step-by-sep solution;

Taking a sample of 11th graders would not correctly represent the entire student population. The result from this survey would at best represent the preference of 11th grade students and not other grades. The same thing applies to a survey of the science club. The science club cannot accurately represent all students (including other clubs).

However, a survey of 25 students from the school would best represent the entire student population since there is a probability of every category of student being represented.

Therefore,

25 students are randomly selected from the school; 4 drive to school.

Part (B):

There are 1750 students at Lincoln High. Use the answer above to estimate the number of students who drive to school.

If the sample of 25 students has 4 students who drive to school, then to estimate the entire population based on this;

Therefore, we now have;

ANSWER:

Answer:

i never knew tommy innit needed help with his homework

Step-by-step explanation:

Answer:

Photosynthesis takes place in the chloroplast of plants. Plants use light energy, also known as radiant energy, to change carbon dioxide and water into something new. Radiant energy is changed into chemical energy. Glucose and oxygene (???)

Step-by-step explanation:

I think I did something wrong here.

Good luck <3

Answer:

(a) There are 20 ways to  select both a council president and a vice president.

(b) There are 60 ways to  select both a president, a vice president, and a secretary.

(c) There are 10 ways to select two members for the President’s Council.

Step-by-step explanation:

All the five engineering majors have one student representative at the Student Engineers Council at a California university.

(a)

Compute the number of ways to select both a council president and a vice president as follows:

As order of selection is important, the number of ways to select both a council president and a vice president is:

\(^{5}P_{2}=\frac{5!}{(5-2)!}=20\)

Thus, there are 20 ways to  select both a council president and a vice president.

(b)

Compute the number of ways to select president, a vice president, and a secretary as follows:

Again as the order of selection is important, the number of ways to select both a president, a vice president, and a secretary is:

\(^{5}P_{3}=\frac{5!}{(5-3)!}=60\)

Thus, there are 60 ways to  select both a president, a vice president, and a secretary.

(c)

Now for two members for the President's Council are to be selected.

As the order of selection is not important, two members can be selected in:

\({5\choose 2}=\frac{5!}{(5-2)!\cdot\ 2!}=\frac{5!}{3!\ \times\ 2!}=10\)

Thus, there are 10 ways to select two members for the President’s Council.

Answer:

39.4°

Step-by-step explanation:

complementary angles add up to 90

therefore, the complementary angle to 50.6 is:

90 - 50.6 = 39.4

Answer:

Y(0,13)

X(13,0)

Answer:

Step-by-step explanation:

The points are plotted and the figure is a parallelogram with base and height both of 3 units long.

The area is:

Answer:

4/13

Step-by-step explanation:

There are 13 diamonds in a deck and 3 fours that aren't diamond

13+3=16

16/52 = 4/13

ANSWER

EXPLANATION

I believe the question means:

This is called the Inverse function.

To do this, first we replace f(x) with y:

Now, we replace every y with x and vice versa:

Now, make y subject of formula:

That is the inverse function

Answer: The answer to your question is C. Brainliest?

Step-by-step explanation:

For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:

2/12 = (2 x 5) / (12 x 5) = 10/60

For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:

2/15 = (2 x 4) / (15 x 4) = 8/60

Now, we can add the two fractions:

10/60 + 8/60 = 18/60

Simplifying this fraction by dividing both numerator and denominator by 6, we get:

18/60 = 3/10

Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.

The answer is C. 0.3.

To the nearest percentage point, Lupita's retirement funds increased by 44% from June to July.

A percentage is a term used in mathematics to describe a value or ratio that may be expressed as a fraction of 100. If we need to calculate a percentage of a number, we should first divide it by 100 before multiplying it by the remainder. Consequently, the percentage refers to a portion per hundred.

Given that Lupita had $115 in her bank account at the beginning of June

The amount Lupita had set aside climbed to $165 in July.

We are expected to calculate the percentage growth in money.

% increase

\(= {(165 - 115) / 115 } × 100 = 43.48%. ≈ 44%\)

To the nearest percentage point, Lupita's retirement funds increased by 44% from June to July.

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