Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (3x -4) feet, (x-1) feet, and (2x-15) feet. What is the perimeter of the triangle if x = 4? O 16 feet O 40 feet O 76 feet O 80 feet.​

Answer:

113

Step-by-step explanation:

DQ= 180-112= 68

and sum of ang in quad add to 360 so

lets call what we have to find x

so x+ 68+56+123= 360

x+247=360

x= 113

Answer:

We have 5 equations where we want to find the value of k. To find the value of k first solve the term that is multiplicating k, and when we know the term, we can divide both sides to isolate k in one side of the equation.

1) 30 = k*(15/4)

To solve this, we can just multiply by (4/15) in both sides, so we get:

30*(4/15) = k*(15/4)*(4/15)

(30/15)*4 = k

2*4 = k

8 = k

2) 360 = k*√36

Here you need to remember that:

6*6 = 36

then √36 = 6

We could just replace that in the equation:

360 = k*6

now let's divide both sides by 6.

360/6 = k*6/6

60 = k

3) 64 = k*(4²)*(2²)

Here we need to remember that:

4² = 16

2² = 4

We can replace these in the equation to get:

64 = k*16*4

and 4*16 = 64

then:

64 = k*64

Now let's divide both sides by 64.

64/64 = k*64/64

1 = k

4) 100 = k*(25)*(4)

Here we know that 4*25 = 100

So replacing that in the equation we get a similar expression to the above one.

100 = k*100

Now let's divide both sides by 100

100/100 = k*100/100

1 = k

5) 6 = k*3

Here just divide both sides by 3.

6/3 = k*3/3

2 = k

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the indices,

After applying the log rules we get the equation as,

===> 3-x = 1/2

===> x = 5/2

Answer:x= 38.079

Step-by-step explanation:

Answer:

f(x) = 4x² + 48x + 149

Step-by-step explanation:

Given

f(x) = 4(x + 6)² + 5 ← expand the factor using FOIL

     = 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4

     = 4x² + 48x + 144 + 5 ← collect like terms

     = 4x² + 48x + 149 ← in standard form

Answer:

Have a great rest of your day ;)

Step-by-step explanation:

Answer:

Median

Step-by-step explanation:

74,83,87,90,92,93,94

Add them together then divide by how many are there to get the median. Then check the data.

Answer:

67

4*4*4=64

64+3=

67

Answer: .B.

Step-by-step explanation

Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

Answer:

(-2.5, 7.5)

Step-by-step explanation:

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Using the formula for calculating the mid point segment expressed as;

X = ax1+bx2/a+b

Y = ay1+by2/a+b

Given

x1 = -9, y1 = -1, x2 = 11, y2 = 9, a = 3 and b = 2

Substitute

X = 3(-9)+2(11)/2

X = -27+22/2

X = -5/2

X = -2.5

Similarly

Y = 3(-1)+2(9)/2

Y = -3+18/2

Y = 15/2

Y = 7.5

Hence the required coordinate point is (-2.5, 7.5)

Answer:  160 hours

============================================================

Explanation:

He earns $10.00 an hour. Let x be the number of hours worked in a month. So 10x represents how much he earns after working x hours.

If he spends $800 per month on fixed expenses, and wants this to be 50% of his total earnings, then this must mean that the other 50% is for other things (eg: spending on a vacation or putting it to savings). So his goal is to earn 800+800 = 1600 dollars per month.

Set 10x equal to this and solve for x

10x = 1600

x = 1600/10

x = 160

He needs to work 160 hours a month.

-------------------------------

Extra info:

Divide 160 over 4 (the approximate number of weeks in a month) and we see that he'll need to work 160/4 = 40 hours a week

If he only works Monday through Friday, that's 5 days of the week. So he'll put in 40/5 = 8 hours per day.

So his goal of working 160 hours per month is reasonable. Keep in mind that this doesn't include factors like him missing time from work due to being sick (unless he has paid sick leave).

Answer:

24 times

Step-by-step explanation:

Answer:24

Step-by-step explanation:

Answer:

[tex]\sqrt{88}[/tex]

Step-by-step explanation:

The geometric mean of 11 and 8 is equal to [tex]\sqrt{88}[/tex].

According to the question it is clear that we have to calculate the geometric mean of two positive numbers 11 and 8.

The geometric mean of two positive numbers a and c is the positive number b in such a way that it satisfies the condition

[tex]\frac{a}{b}=\frac{b}{c}[/tex]

The geometric mean of a and b is √ab if a and b are both positive numbers and it will be −√ab if a and b are negative numbers.

The geometric mean is the positive square root of the product of two numbers.

For a square the geometric mean of two numbers a and b, is the length of one side of a square whose area is equal to the area of a rectangle with the sides of a and b lengths.

If we talk about the n numbers then the geometric mean is the nth root of the product of n numbers. If n positive values are given then the geometric mean is the nth positive root of the product of that n numbers.

So, the geometric mean is equal to [tex]\sqrt{a.b}[/tex]

Here, a = 11 and b = 8

The geometric mean of this is equal to = [tex]\sqrt{11.8}[/tex] = [tex]\sqrt{88}[/tex]

Learn more about geometric mean at:

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Answer:

6.148

Step-by-step explanation:

Answer:

25/10

Step-by-step explanation:

Make the fractions improper by multiplying the whole number by the denominator and then adding the numerator (if this makes sense).

This makes 5x10=50+3=53/10

Do the same for the second fraction. 2x5=10+4=14/5

Then make the denominators the same, and in this case all you need to do is multiply both sides of 14/5 by 2, so that makes 28/10.

Now, just take it away.

53/10-28/10=25/10, which can be then simplified into 2 1/2 or 5/2.

Answer:

hello! :) have a good day!

8x³ + 5x² − 8x + 10

Answer: 293 Seconds

Step-by-step explanation:

Answer:

293 seconds

Step-by-step explanation:

one minute = 60 seconds

4 x 60 = 240 seconds   -------> use the equation above to multiply per min

240 + 53 = 293 seconds  -------> add the remaining seconds to find total

Answer:

Step-by-step explanation:

AC=[tex]\sqrt{13^{2} -5^{2} }[/tex]

    =12

Answer:

For the first one you could do 1 and 3/5 for the second one you ca  do 2/5 3/5 and 3/5 again to get the answer

Step-by-step explanation:

1 + 3/5 = 1 3/5

2/5 + 3/5 + 3/5 = 1 3/5

Answer:

C. 32

Explanation:

The square-cube law states that "When an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier." This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

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Works Cited:

https://en.wikipedia.org/wiki/Square%E2%80%93cube_law#:~:text=The%20square%E2%80%93cube%20law%20can,the%20cube%20of%20the%20multiplier.

The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

The square-cube law states that "When an object undergoes a proportional increase in size,

its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.

" This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

Hence, The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

To learn more on scale factor click:

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Answer:

8

Step-by-step explanation:

Answer:

The answer are

CX=10/3

ML=76

Step-by-step explanation:

NUMBER 4

We know that the averages are divided 1 to 2 by the base

[tex]then \: \\ xc = \frac{1}{3} xf \\ = \frac{1}{3} \times 1 0 = \frac{10}{3} [/tex]

NUMBER 5

[tex]ml = \frac{2}{3} mr \\ then \\ 10x - 4 = \frac{2}{3} (12x + 18) \\ 30x - 12 = 24x + 36 \\ 6x = 48 \\ x = 8 \\ then \\ ml = 10 \times 8 - 4 = 76[/tex]

Answer:

He should have said that his small brother had 100 small building bricks, but lost 5 in total now.

Answer:

x=9 option C

Step-by-step explanation:

explanation above

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Answer:

Katie drinks 56 cups (3.5 gallons) of water in one week.

Step-by-step explanation:

16 - 0.5 (1/2) = 0.5 (1/2)

16 - 1/2 = 8

8 x 7 days (1 week)

= 56 cups

Katie drinks 56 cups (3.5 gallons) of water in one week.

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Slopes and gradient.

slope, m = y2-y1/ x2-x1

hence, m = 1-0/ 6-0

m = 1/6

hence slope = 0.166

Answer:

B

Step-by-step explanation:

1^2+8^2=[tex]\sqrt 65\\[/tex]

Answer:

the correct answer is C the system of equations has no solution.

Answer:

x = 7

Step-by-step explanation:

2(3x-9)=2x+10

6x - 18 = 2x + 10

4x = 28

x = 7

Answer:

x = 7

Step-by-step explanation:

In order to find the value of x, isolate it in the equation.

1) First, distribute the 2 to the terms inside the set of parentheses.

[tex]2 (3x - 9) = 2x + 10 \\6x - 18 = 2x + 10 \\[/tex]

2) Next, move all the x terms to one side and all the other terms to the other side. Subtract both sides by 2x and add both sides by 18.

[tex]6x - 18 = 2x + 10 \\4x = 28[/tex]

2) Divide both sides by 4 to finally isolate x.

[tex]4x = 28 \\x = 7[/tex]

Thus, x = 7.