An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 9 more than three times the length of the bottom of the triangle. The last side is 9 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle. What is the expression for the perimeter of the triangle?​

Answer:

x=29.4

Step-by-step explanation:

To help find the sides of a triangle, I use SOHCAHTOA.

SOH - CAH - TOA

S=O/H ([tex]Sine=\frac{opposite}{hypotenuse}[/tex] )

C=A/H ([tex]Cosine=\frac{adjacent}{hypotenuse}[/tex] )

T=O/A ([tex]Tangent =\frac{opposite}{adjacent}[/tex] )

Let's find x first. We know 2 parts of the triangle: the adjacent leg, and the angle that is opposite of that.

So it would be tangent (tan).

opposite = 17

adjacent = 30°

Plug these numbers into the calculator and you should get your answer.

[tex]\frac{17}{tan(30)} = 29.44486372...[/tex]

x=29.4

Try to do y on your own and let me know if you have any questions!

Also correct me if I'm wrong on anything.

Hope this information helps!

Answer:

180 is the answer

Step-by-step explanation:

Step-by-step explanation:

To find out areas of rectangles, you have to count the left side of the rectangle which is (12) and then count the bottom of the rectangle which is (15)

Then multiply 12 times 15 to find out the area

15 x 12= 180

what do you mean CDEF

and can I get brainliest?

Answer:

540

Step-by-step explanation:

The multiples of 45 are 9,3,3,1

The multiples of 60 are 12,4,2,1

The multiples of 135 are 27,9,9,9,3

Therefore the LCM can be calculated as follows

= 5×3×2×2×3×3

= 540

Hence the LCM is 540

Answer:$5.00

Step-by-step explanation:

Let c = the cost of each candy bar

3 + 8c = 43

8c = 40

c = $5.00

Answer:

each candy bar costs 5 dollars

Step-by-step explanation:

43-3=50 and 40÷8=5

Answer:

Because the sum of the interior angles of a triangle is 180,

X=180-(65+35)

X=180-100=80

0.16÷0.3220=0.49689440993

Answer:

Width is 41 inches

Step-by-step explanation:

Subtract 12 since there are two sides with lengths of 6, then divide that by to get the width of one of the sides

Answer:

Imao 5

Step-by-step explanation:

just divide

Answer:

5 cups.

Step-by-step explanation:

The egg to flour ratio is 7:35

If you narrow it down, it is 1:5

You have to divide it.

Answer:

24

Step-by-step explanation:

24x3=72

24x5=120

Answer:

The area of triangle VZX is 210 cm^2

Step-by-step explanation:

Here, we want to get the measure of the area of triangle VZX

From the given diagram, we have two explicit triangles making up triangle VWX

These are triangles VWZ and VZX

By adding the areas of both triangles, we can get the area of VWX

Mathematically, the area of VZX is the difference between the area of VWX and VZW

To get the area of VZW, we can use the formula for the area of a triangle

We have this as 1/2 * base * height

base = 35 cm and height = 28 cm

The area of VWZ is 1/2 * 35 * 28 = 490 cm^2

The area of triangle VZX is thus;

700 cm^2 - 490 cm^2 = 210 cm^2

Answer:

I don't see any answer choices to choose from

Answer:

there is not options to answer

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

About 25% of gyms in Shanesville have fewer than 56 gym members.

The correct answer is option (2).

"Interquartile range = Q3 - Q1"

"It is a number or ratio that can be expressed as a fraction of 100."

For this example,

Q1 = 56

Q2 (median) = 64

Q3 = 70

So, the interquartile range is,

⇒ 70 - 56 = 14

Let 'x' be the number of gyms in Shanesville have fewer than 56 gym members.

so, the percent of gyms in Shanesville have fewer than 56 gym members would be,

⇒ 14 / x = 56

⇒ x = 14 / 56

⇒ x = 1/4

⇒ x =  0.25

The percentage of 'x' would be,

⇒ 100 × 0.25 = 25 %

Therefore, about 25% of gyms in Shanesville have fewer than 56 gym members.

The correct answer is option (2).

Learn more about Interquartile range here: https://brainly.com/question/12963561

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Answer:

how many cups of what were sold

Step-by-step explanation:

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Answer:

d

Step-by-step explanation:

d

Equation: 60.75p + 974.5 = 1946.5

Answer: p = 16

Answer:

r = 1/2n + 3

Step-by-step explanation:

Are there answer choices to choose from?  

This is how you would isolate the r:

4r = 2n + 6 + 6 so 4r = 2n + 12

Solve for r by dividing both sides by 4  so r = 1/2n + 3

Answer:

-2=2n+6

2n=2-6

2n=-4

n=-2

The equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x

There are many different ways to define an equation. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

Various kinds of equations: Algebraic math equations include the following.

Equation with Lines;

More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.

A third-order equation is this one. At least one of the variables in cubic equations needs to be increased to exponent 2

Given ,

tank 1 = 120 - 1/2x

tank 2 =100 - 1/4x

Therefore 120-1/2x = 100-1/4x

So we can conclude that  the equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x

The complete question is: A tank has 120 gallons of water and is being drained at a rate of 12 gallon each second. Another tank has 100 gallons of water and is being drained at a rate of 14 gallon each second. Which equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water? Multiple choice question.

120x + 1/2 = 100x + 1/4

120 + 1/2x = 100 + 1/4x

120x - 1/2 = 100x - 1/4

120 - 1/2x = 100 - 1/4x

To learn more about equation refer to:

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[[[Content deleted]]]                          

Step-by-step explanation:

Answer:

2 [tex]\frac{1}{20}[/tex]

Step-by-step explanation:

for question a)

It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)

to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.

E.g.

7 [tex]\frac{1}{4}[/tex] = 7x4 + 1 = 29

Thus, improper fraction would be [tex]\frac{29}{4}[/tex]

do same thing  for other one

thus , [tex]\frac{26}{5}[/tex]

now,

[tex]\frac{29}{4}[/tex] - [tex]\frac{26}{5}[/tex]

however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)

[tex]\frac{145}{20} -\frac{104}{20}[/tex] = [tex]\frac{41}{20}[/tex]

convert back to mixed number

2 [tex]\frac{1}{20}[/tex]

Answer:

Step-by-step explanation:

a) Step1 : write in improper form

Step 2 : Find least common denominator

Step 3: Find equivalent fractions and then subtract

[tex]7\frac{1}{4}-5\frac{1}{5} = \frac{29}{4}-\frac{26}{5}\\[/tex]

            [tex]= \frac{29*5}{4*5}-\frac{26*4}{5*4}\\\\=\frac{145}{20}-\frac{104}{20}\\\\=\frac{145-104}{20}\\\\=\frac{41}{20}\\\\=2\frac{1}{20}[/tex]

b) Keep Change Flip method

[tex]4\frac{1}{4}[/tex] ÷ [tex]2\frac{1}{5} = \frac{17}{4}[/tex] ÷ [tex]\frac{11}{5}[/tex]

            [tex]=\frac{17}{4}*\frac{5}{11}\\\\=\frac{85}{44}\\\\=1\frac{41}{44}[/tex]

Answer:

95 0r 91

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

trust me

Answer:

Its A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

IM doing the test

Answer:

f(x) = 12x³ - 19x² + 17x - 17

Step-by-step explanation:

We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.

We're given a denominator of 4x - 5

a quotient of 3x² - x + 3

and a remainder of -2

so the original numerator is:

(4x - 5)(3x² - x + 3) - 2

= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2

= 12x³ - 19x² + 17x - 17

Let's test that by dividing it by 4x -5 with long division:

[tex]\ \ \ \ \ \ \ \ \ \ 3x^2 - x + 3\\4x - 5\overline{)12x^3 - 19x^2 + 17x - 17}\\.\ \ \ \ \ \ \ \ \ \underline{2x^3 - 15x^2}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ -4x^2 + 17x\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-4x^2 + 5x} \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12x - 17\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{12x - 15}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2R[/tex]

That matches, so we know our answer's right, and:

f(x) = 12x³ - 19x² + 17x - 17

Answer:

[tex] {5 }^{2} [/tex]

that is an exponent

Step-by-step explanation:

an exponent is a number at the top right corner of a bigger (physichally) number. Exponents can also be said "to the power". for example 5 to the second power, or power of 2. this just means that instead of multiplying 5 x2 you are multiply 5 x itself the amount of times the exponent tells tou for example 5 x 5 (since my exponent is 2) is 25. so 5 to the second power is 25. and if it said 5 to the power of rhree i would have done 5x5x5 =125

Answer:

160

Step-by-step explanation:

total = 100%

we know,

55 % of total = 88

or, 55/100 * total = 88

so total = 160