A triangle has a base of 24 inches and an area of 260 square inches. Which equation can be used to find h, the height of the triangle?

Answer:
A: 9w-126=45

B: +126 +126, 9w=171

Step-by-step explanation:

Answer:

Sure, I'd be happy to help you with these problems!

Simplifying square root expressions:

√121 = 11

The square root of 121 is a rational number because it can be expressed as a ratio of two integers (11/1).

√48 = √(16*3) = √16 * √3 = 4√3

The square root of 48 is an irrational number because it cannot be expressed as a ratio of two integers.

Simplifying cube root expressions:

3√81 = 3√(3^4) = 33 = 9

The cube root of 81 is a rational number because it can be expressed as a ratio of two integers (9/1).

3√(-64) = 3√(-444) = 34√(-4) = 12i√2

The cube root of -64 is an irrational number because it cannot be expressed as a ratio of two integers. However, it can be expressed as a product of a rational number (4) and an imaginary number (i√2), where i is the imaginary unit (i.e., i^2 = -1). Therefore, the simplified form of this expression is an imaginary number.

1. √121:

To simplify this expression, we need to find the square root of 121. The square root of 121 is 11, since 11 * 11 = 121. Therefore, the simplified form of √121 is 11.

Since 11 is a whole number, it is considered a rational number.

2. √48:

To simplify this expression, we need to find the square root of 48. We can simplify it by factoring 48 into its prime factors: 48 = 2 * 2 * 2 * 2 * 3.

Taking out pairs of identical prime factors, we get √48 = √(2 * 2 * 2 * 2 * 3) = 2 * 2 * √3 = 4√3.

The simplified form of √48 is 4√3.

Since 4√3 cannot be expressed as a fraction, it is considered an irrational number.

Now let's simplify each cube root expression and describe the simplified form as rational or irrational.

3. 3√81:

To simplify this expression, we need to find the cube root of 81. The cube root of 81 is 4, since 4 * 4 * 4 = 81. Therefore, the simplified form of 3√81 is 4.

Since 4 is a whole number, it is considered a rational number.

4. 3√-64:

To simplify this expression, we need to find the cube root of -64. The cube root of -64 is -4, since -4 * -4 * -4 = -64. Therefore, the simplified form of 3√-64 is -4.

Since -4 is a whole number, it is considered a rational number.

In summary:

- √121 simplifies to 11, which is a rational number.

- √48 simplifies to 4√3, which is an irrational number.

- 3√81 simplifies to 4, which is a rational number.

- 3√-64 simplifies to -4, which is a rational number.

Answer: 576 square feet

Step-by-step explanation:

Answer: answer is 7

Step-by-step explanation: 7/4 x 4 = 7

Answer: 65 advance tickets

Step-by-step explanation:

Answer:

Advance tickets sold: 30

Same-day tickets sold: 25

Step-by-step explanation:

So, let's assume that the number of advance tickets is the variable [tex]x[/tex], and the number of same-day tickets is [tex]y[/tex].

Since the cost of advance tickets is $25 dollars, we can show that using [tex]25x[/tex], and the cost of same-day tickets is $35, we can show that with [tex]35y[/tex]. The total cost of the tickets is $1625 and the total number of tickets is 55.

Now, let's form a system of equations with this information.

[tex]25x+35y=1625\\x+y=55[/tex]

Step 1: Rearrange equation so that it solves for a variable

[tex]x+y=55[/tex] can be rewritten as [tex]y=-x+55[/tex]

Step 2: Substitute

[tex]y=-x+55[/tex], so, we can write this in the first equation as: [tex]25x+35(-x+55)=1625[/tex]

Step 3: Simplify

[tex]25x-35x+1925=1625\\-10x=-300\\x=30[/tex]

So the number of advance tickets sold are 30.

Now, let's solve for the number of same-day tickets sold.

Step 4: Solve for y

Using our equation from above ([tex]y=-x+55[/tex]), we can substitute the value that we solved for ([tex]x=30[/tex]) to solve for the variable y.

[tex]y=-30+55\\y=25[/tex]

The number of same-day tickets sold are 25.

Hope this helped ya :)

Answer:

1: x=21

2: x=18

3: x=40

4: x=-3

5:x=21

6: x=6

7: x=3

Step-by-step explanation:

Answer: The answer is -6.

Step-by-step explanation:

The first step in solving -X²= - 36 is to simplify the expression. Then, divide both sides by the same factor. You'll get X² - 36 = 0.

After that, you need to use the quadratic formula. Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. a=1, b=0, and c=-36.

Finally, you need to simplify the expression. First, evaluate the exponent. Then multiply the numbers. After that, Add the numbers and evaluate the square root. Add zero, and then multiply the numbers again. You get +12/2, which simplifies into X = 6. Add the negative, and you get X = -6.

I hope it helped! :)

Answer:

Q1=0.5 Q3=6

Step-by-step explanation:

To find the quartiles, we first need to put the data set in order from smallest to largest:

−8, −5, −1, 0, 0, 1, 2, 4, 4, 5, 5, 7, 9, 10

There are 14 data points, so the median is the average of the 7th and 8th numbers, which is (2+4)/2 = 3.

Now we divide the data set into two halves, the lower half and the upper half, not including the median.

Lower half: −8, −5, −1, 0, 0, 1, 2

Upper half: 4, 4, 5, 5, 7, 9, 10

To find the first quartile, we take the median of the lower half of the data set. There are 7 numbers in the lower half, so the median is the average of the 4th and 5th numbers, which is (0+1)/2 = 0.5.

To find the third quartile, we take the median of the upper half of the data set. There are 7 numbers in the upper half, so the median is the average of the 4th and 5th numbers, which is (5+7)/2 = 6.

Therefore, the first quartile is 0.5 and the third quartile is 6.

Answer:

I think D? sry if its wrong tho :/

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

180+90= 270

90x3=270

Answer:

15

Step-by-step explanation:

A=(a+b)/ 2 x h
A= (4+6)/ 2 x 3
A= 15

If I am wrong then please let me know

Answer:

48.3

Step-by-step explanation:

multiply 7by 2.3 then multiply the whole thing by3 and that’s your answer

Answer: 48.3

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Find the area of the above rectangle (10*6 = 60)

Find the area of the middle rectangle (4*3 = 12)

Find the area of the lower rectangle (2*6 = 12)

Add up the areas: 60 + 2(12) = 84

Answer:

48 = {1,2,3,6,8,48.}

Step-by-step explanation:

These are the factors if 48. if it's correct please let me know.

Answer: up to 120 pieces

Step-by-step explanation:

Answer:

1. c. 276ft

2.56ft

Step-by-step explanation:

1. I took the length and multiplied that by the width to get the area

2.

Answer:

1. C

2. D

Step-by-step explanation:

For question 1 you would multiply 23 by 12 because the area of a rectangle is base * height. To get 276 which is C.

For question 2 you would find the area by doing 1/2(b*h) or 1/2(7*4) which equals 14. To find the area of 4 triangles you would then do 14*4 which equals 96.

The value of x is:

Solution:

If two angles are supplementary, that means that the sum of their measures is 180°.

We're given 2 angles:

And since they're supplementary, the following holds true:

[tex]\sf{\angle m + \angle n = 180}[/tex]

Next, we know that [tex]\sf{\angle m=34}[/tex], so we plug that in

[tex]\sf{34+\angle n = 180}[/tex]

Then, ∠n = 2x:

[tex]\sf{34+2x=180}[/tex]

Which is the same as

[tex]\sf{2x+34=180}[/tex]

Subtract 34 from each side

[tex]\sf{2x=146}[/tex]

Divide each side by 2

[tex]\sf{x=73}[/tex]

Answer: x=2.519842

Step-by-step explanation:

Rewrite the equation as x3+2=18

Then subtract 2 from both sides

x3=16

Lastly take the cube root

X=(16) (1/3)

X=2.519842

Answer:x=29

Step-by-step explanation:

x+3+x-1+x+1=90

3x+3-1+1=90

3x+3=90

3x=90-3

3x=87

x=87/3

x=29

Answer: 18.5%

Step-by-step explanation: Last year, there were 56 boys and 135 girls on the honor roll, for a total of 191 students. This year, the number of boys on the honor roll increased by 25%, which means there are now 70 boys on the honor roll (56 * 1.25). The number of girls on the honor roll increased by 20%, which means there are now 162 girls on the honor roll (135 * 1.20).

The total number of students on the honor roll this year is therefore 70 + 162 = 232.

To find the percentage increase in the total number of students on the honor roll, we can use the formula:

percentage increase = (new value - old value) / old value * 100

Plugging in the numbers, we get:

percentage increase = (232 - 191) / 191 * 100 = 21.47%

Rounding to the nearest tenth, we get an increase of approximately 18.5%.

Hope this helps, and have a great day!

Answer:

X=-6 and X=0

Step-by-step explanation:

I will solve this by factoring.

Factor x(x+6)=0 into to equations: X=0 and x+6=0.

Move the 6 to the other side which will make it negative and their is nothing to do with x=0.

So the final answer is X=-6 and X=0.

Answer:

x = 0 , x = -6

Step-by-step explanation:

The equation x(x+6) = 0 can be solved using the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.

So we can set each factor ( "x" and "x+6") equal to 0 and solve for x

Factor #1

x = 0

Factor #2

x + 6 = 0

==> subtract 6 from both sides

x = -6

We can now substitute the values of x into the original equation to check our work

x(x+6) = 0

==> plug in x = 0

0(0+6) = 0

==> simplify addition within parenthesis

0(6) = 0

==> multiply 6 and 0

0 = 0

x(x+6) = 0

==> plug in x = -6

-6(-6 + 6) = 0

==> add -6 and 6

-6(0) = 0

==> multiply -6 and 0

0 = 0

Both values of x satisfy the equation therefore the values of x are indeed -6 and 0

Learn more about the zero product property here :

https://brainly.com/question/4893812

Answer:

The answer to your problem is, D. Yes, because 2 + 3 = 5.

Step-by-step explanation:

Refer to the converse of the pythagorean theorem. We need to have both sides equal to each other to have a right triangle.

So we need to have:

[tex]a^{2} + b^{2} = c^{2}[/tex]

We would need to fill out the problem and replace A, B, and C. Which leads to either being B or D

The longest side is the hypotenuse and the value of c.

Thus the answer to our problem is, D. Yes, because 2 + 3 = 5

they would become smaller and possibly more accurate or possibly less accurate - depends on what the definition is for outlier in this study.

Answer:

2167

Step-by-step explanation:

2166.8 is a 97% decrease of 72227.

Answer:

Bolded below

Step-by-step explanation:

0-1 mile: 50%

1-2 miles: 78% - 50% = 28%

2-3 miles: 0.1 = 10%

3+ miles: 100% - (50% + 28% + 10%) = 12%

Hope this helps!

Distance from School Percent of Students

Within 1 mile 50%

Between 1 and 2 miles 78%

Between 2 and 3 miles 0.1%

More than 3 miles 21.9%

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%". For example, 45% (read as "forty-five percent") is equal to 45⁄100, or 0.45. Percentage can be used to express how much of something there is compared to the whole.

The given data can be represented in a table to show the percent of students who are living at each distance from the school. The table shows that 50% of the students live within 1 mile from the school, 78% of the students live between 1 and 2 miles from the school, 0.1% of the students live between 2 and 3 miles from the school, and 21.9% of the students live more than 3 miles from the school. This is happening due to the fact that the majority of students live close to the school, hence the higher percentages of students living within the shorter distances and lower percentages of students living at the longer distances.

For more questions related to fraction

https://brainly.com/question/17220365

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