find value of a and b in the triangle. (please help)

Answer:

4x - 12

Step-by-step explanation:

Distribute the 4 to the x and -3.

4 × x = 4x

4 × -3 = -12

4x - 12

Answer:

6

Step-by-step explanation:

10^3 = 1000

1000 x 0.006 = 6

Answer:

60 people

Step-by-step explanation:

27/.45=60

Answer:

452.39 feet³

Step-by-step explanation:

In the attached file

Answer:

452.4

Step-by-step explanation

π·r²·h

π·3²·16

π·9·16

π·144

452.38

round that up to the tenths place it's 452.4

Answer: 0.00108154877

Step-by-step explanation:

The division [tex]\frac{5}{4623}[/tex] results in the simple decimal 0.001081603. This expression is already reduced to the most basic fraction form of itself.

The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.

The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.

Given the expression [tex]\frac{5}{4623}[/tex] ,

[tex]\frac{5}{4623}[/tex] = 5 [tex]\div[/tex] 4623 = 0.001081603.

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Hey There!

The answer you are looking for is:

False, they are not equivalent.

Explanation / Work

First convert 2/5 into the same 'value' as 8/15

2/5 -> 4/10 -> 6/15.

As you can see, 6/15 is not the same as 8/15.

Meaning they are not equivalent.

Hope I helped! Please rate 5 stars and brainliest!

To construct a histogram, you must decide on your interval size by dividing the data range by your desired number of intervals. Then, sketch the graph with scaled axes and intervals consistently to accurately represent the data.

To construct a histogram, you need to determine the interval size for your bins. The interval size depends on the range of your data and the number of intervals you want to use. For instance, if you have data ranging from 32.5 to 100.5 and you want to create five intervals, you subtract the smallest value from the largest and then divide by the number of intervals. So it would be (100.5 - 32.5) ÷ 5, which equals 13.6. This means each interval would be 13.6 units wide.

When constructing the actual histogram, the x-axis would cover from 32.5 to 100.5 and the y-axis would cover the frequency of the data within each interval. An interval's endpoints can be determined successively by adding the interval width to the previous endpoint, starting with 32.5. Moreover, for data with a small range like 1 to 6, you could create six intervals ranging from 0.5 to 6.5 to ensure all data points are included, with a 1 unit interval size for clarity.

Sketch the graph using a ruler and pencil, and carefully scale the axes to accurately reflect the range and intervals for the data you're representing. Consistency in interval size is key when placing data values into each bin.

Final answer:

A histogram is constructed by determining the number of intervals, with a common range being five to 15 intervals. Calculate the interval width by dividing the total range of data by the chosen number of bins. Use a ruler and pencil for a scaled and precise histogram representation.

Explanation:

To construct a histogram, you need to decide on the number of intervals, also known as classes or bins. In this case, the data provided suggests we need to create five to six intervals. The x-axis for our histogram might range from 32.5 to 100.5, representing the data values, and the y-axis records the frequency of the data points.

To calculate the width of each interval, take the range of the data (100.5 - 32.5 = 68) and divide it by the number of intervals (5). This gives us an interval width of 13.6. When scaling the axes, use a ruler and pencil for precision.

For example, if your data set ranges from a smallest value of 1 to a largest value of 6, you might set your bins to start at 0.5 and end at 6.5 to ensure that all values are included. With this range of 6 (6.5 - 0.5), and deciding on six bins, the bin size or interval size would be 1. This is explained in Solution 2.10.

Remember to consistently apply the same method when placing data values within intervals to enable comparability and clarity in your histogram.

Answer:

87.92 in²

Step-by-step explanation:

pi × (R² - r²) = area

Where R is the radius of the outer circle and r of the inner circle.

Since C = 2pi×r

37.68 = 2×3.14×r

r = 6 in

R = 6 + 2 = 8 in

Therefore,

pi × (R² - r²) = area

Area = 3.14 (8² - 6²)

= 87.92 in²

Answer:

24.800.000=100000

Step-by-step explanation:

gooogglleeeee PeRiOd

The cost of the car is $31824

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: Price of the car =$24,800 down payment % =18 and monthly installment of $760

Thus Total cost= $24,80×0.18+36×760

                         = $31824

Hence, The cost of the car is $31824

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Answer:

-7, -2, 1, 6

Step-by-step explanation:

The points that are on the number line are:  -7, -2, 1, 6

Answer: -7, -2, 1, 6

Answer:

-7, -2, 1, 6

Step-by-step explanation:

Answer:

the height is 3

the with is also 3 because

1.5+1.5=3

The chances of winning the grand prize in this game are approximately 0.089, whereas the chances of winning the consolation prize are 0.01.

The subject of this question is Probability, which is a branch of Mathematics. To calculate the probability, we'll need to determine the total number of outcomes and the count of the favorable outcomes.

a) To win the grand prize, all three balloons popped have to have 'Winner' slips. The probability of each dart hitting such a balloon will decrease as the total number of balloons decreases. First dart probability would be 5/8 (5 'Winner' balloons out of 8 total), the second one 4/7 (as one 'Winner' balloon is already popped), and 3/6 for the third. Multiply these probabilities together to get the overall probability: (5/8) * (4/7) * (3/6) = 0.089 (rounded to the third digit).

b) Similarly, for the consolation prize, we would have to hit all three balloons with blank slips. The process is equivalent, resulting in a probability of (3/8) * (2/7) * (1/6) = 0.01 (rounded to the third digit).

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The length and width of square is 8 inches.

Step-by-step explanation:

Given,

Perimeter of square = 32 inches

We know that all sides of square are equal, therefore,

Length = width = s

Perimeter of square = 4s

[tex]32=4s\\4s=32[/tex]

Dividing both sides by 4

[tex]\frac{4s}{4}=\frac{32}{4}\\s=8[/tex]

Therefore,

The length and width of square is 8 inches.

Final answer:

The length and width of the square are each 8 inches, calculated by dividing the given perimeter of 32 inches by the number of sides of a square, which is 4.

Explanation:

To find the length and width of a square given its perimeter, we need to recall that all four sides of a square are of equal length. Since the perimeter of the square is 32 inches, we divide this number by 4 to find the length of one side. So, the length and width of the square are:

32 inches ÷ 4 = 8 inches.

Therefore, each side of the square is 8 inches long.

Answer:

4

Step-by-step explanation:

we add them then divide 2

(11/2+2 1/2)/2

An answer is an option (D)  for all of these.

"Know your audience" and Why is it important to know your audience?

Knowing your audience helps you figure out what content and messages people care about.

To "know your audience," you should identify what are ?

a. Need to know

c. Are interested in

b. Want to know

d. all of these

hence the answer is all of these.

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Answer:

$50

Step-by-step explanation:

$125 - $75 = $50!

Answer: k = -17

Step-by-step explanation:

K -7= -24

k= -24 + 7

k = -17

Answer:

b = 5

Step-by-step explanation:

to get b, you see that is multiplied by 7. to get rid of the 7, you have to divide both sides by 7. this is because 7/7 = 1, so you would just have b. then, 35/7 equals 5, and it is on the other side of the equal sign, so you would have b = 5.

Answer:

[tex]b = 5[/tex]

Step-by-step explanation:

[tex]7b = 35 \\ \frac{7b}{7} = \frac{35}{7} \\ b = 5[/tex]

Here you are: B and E

Hey there!

[tex]3x^2 + x -5 = 0[/tex]

This equation is in standard form, which is [tex]ax^2+bx+c=0[/tex].

We are going to solve this with the quadratic equation, so we need to find the values for a, b, and c in the given equation. We can just look at it and identify the variables.

a = 3, b = 1, c = -5

Let's plug these values into the quadratic equation:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-1\pm\sqrt{1^2-4(3)(-5)} }{2(3)}[/tex]

Multiply 4(3)(-5) together and multiply 2(3). Square 1.

[tex]x=\frac{-1\pm\sqrt{1+60} }{6}[/tex]

Add 1 and 60.

[tex]x=\frac{-1\pm\sqrt{61} }{6}[/tex]

This is our answer in exact form. If you need this as an approximate value, let me know and I will do that for you.

Hope this helps!

Expressions a, b, and d are equivalent to 5^3. They all follow the laws of exponents, resulting in the same value of 5^3, or 125.

The question is asking which expressions are equivalent to 5^3. Let's break down each option:

So, options a, b, and d are equivalent to 5^3.

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Step-by-step explanation:

Look at the picture.

Hmm.... If the angle θ is correctly marked on your photo, then your solution is incorrect.

You write the function values ​​but for the angle 180° - θ.

[tex]\sin(180^o-\theta)=\sin\theta\\\cos(180^o-\theta)=-\cos\theta\\\tan(180^o-\theta)=-\tan\theta\\\cot(180^o-\theta)=-\cot\theta[/tex]

Therefore

for

[tex]x=-7,\ y=24,\ r=\sqrt{(-7)^2+24^2}=\sqrt{49+576}=\sqrt{625}=25[/tex]

Let θ be this angle in your picture.

[tex]\sin\theta=\dfrac{24}{25}\\\\\cos\theta=-\dfrac{-7}{25}=\dfrac{7}{25}\\\\\tan\theta=-\dfrac{24}{-7}=\dfrac{24}{7}\\\\\cot\theta=-\dfrac{-7}{24}=\dfrac{7}{24}\\\\\sec\theta=\dfrac{1}{\cos\theta}=\dfrac{1}{\frac{7}{25}}=\dfrac{25}{7}\\\\\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{24}{25}}=\dfrac{25}{24}[/tex]

The equation [tex]y=2x+2[/tex] is a function

Explanation:

Given that the graph contains the coordinates [tex](-1,0)[/tex], [tex](0,2)[/tex] , [tex](1,4)[/tex] and [tex](2,6)[/tex]

We need to determine whether the equation [tex]y=2x+2[/tex] is a function.

To determine the equation is a function, let us substitute the coordinates in the equation and check whether it satisfies the equation.

Let us substitute the coordinate [tex](-1,0)[/tex] in the equation [tex]y=2x+2[/tex]

Thus, we have,

[tex]0=2(-1)+2[/tex]

[tex]0=-2+2[/tex]

[tex]0=0[/tex]

Thus, the coordinate [tex](-1,0)[/tex] satisfies the equation [tex]y=2x+2[/tex]

Substituting the coordinate [tex](0,2)[/tex] in the equation, we have,

[tex]2=2(0)+2[/tex]

[tex]2=2[/tex]

Thus, the coordinate [tex](0,2)[/tex] satisfies the equation [tex]y=2x+2[/tex]

Substituting the coordinate [tex](1,4)[/tex] in the equation [tex]y=2x+2[/tex]

[tex]4=2(1)+2[/tex]

[tex]4=4[/tex]

Thus, the coordinate [tex](1,4)[/tex] satisfies the equation [tex]y=2x+2[/tex]

Substituting the coordinate [tex](2,6)[/tex] in the equation, we get,

[tex]6=2(2)+2[/tex]

[tex]6=6[/tex]

Thus, the coordinate [tex](2,6)[/tex] satisfies the equation [tex]y=2x+2[/tex]

Hence, the coordinates [tex](-1,0)[/tex], [tex](0,2)[/tex] , [tex](1,4)[/tex] and [tex](2,6)[/tex] satisfies the equation [tex]y=2x+2[/tex]

Thus, the equation [tex]y=2x+2[/tex] is a function.

Answer:

The ratio is the same as the ratio of the angle of that sector to the angle for the whole circle (2π).

Step-by-step explanation:

In the context of geometry, vertical angles are always congruent, which means they have the same measure. If one of the vertical angles measures 68°, the measure of the other angle is also 68°. Therefore, the correct answer is B. 68°.

The question is asking for the measure of the second angle, given that two angles are vertical angles and one of them measures 68°. In terms of geometry, vertical angles are the angles that are opposite each other when two lines intersect. An important property of vertical angles is that they are always congruent, which means they have the same measure. So, if one of the vertical angles is 68°, the other angle is also 68°. Hence, the correct answer is B. 68°.

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Since vertical angles are always congruent, the measure of the other angle is also 68°.

The question involves identifying the measure of the other angle when two angles are vertical angles. Vertical angles are angles that are opposite each other when two lines intersect. They are always equal to each other in measure.

Given that one angle measures 68°, the other angle, being a vertical angle, will also measure 68°.

Therefore, the correct answer is: B. 68°

Answer:

8.68?

Step-by-step explanation:

adding them together just like that she buys cat food 6.75+ 1.89 for cat treats wouldn't thw be right? unless your needing tax as well and that's typically 10cents to ever dollar you spend

Answer:

The answer is 8.64

Step-by-step explanation:

It is decimals not actually cash so there is no tax, Plus I took the K-12 test and got it right!

Answer:

C

Step-by-step explanation:

Subtraction Property

10x - 30 = 7x

Subtract 7x from both sides.

3x - 30 = 0