Two similar triangles have a scale factor of 5:3. The perimeter of the larger triangle is 75 sq inches. What is the perimeter of the smaller triangle measured in inches?

Answers

Answer 1

Answer:

45 inches

Step-by-step explanation:

Create a proportion where x is the perimeter of the smaller triangle:

[tex]\frac{5}{3}[/tex] = [tex]\frac{75}{x}[/tex]

Cross multiply and solve for x:

5x = 225

x = 45

So, the perimeter of the smaller triangle is 45 inches


Related Questions

(x+4)+(x-3)+(2x+2)+(x^2+3x+1)

Answers

Answer:

X^2+7x+4

Step-by-step explanation:

A+b=25
What is the value of 2a + 2b + 4

Answers

54 is your answer. Good luck

Answer:

THE ANSWER IS 54

Step-by-step explanation:

What expression is equivalent to (5z^2+3z+2)^2
?

Answers

Answer:

[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]

( Answer Honestly Please )
B. Translate the following English phrases to mathematical statements:
6. 3 times a number (x) is greater than 10
7. A number (x) added by 4 is less than or equal to 7
8. 6 is less than a number (x) divided by 6
9. The ratio of 10 and a number (x) is greater than or equal to 5
10.The sum of x and 7 is less than 4

Answers

Answer:

See below.

Step-by-step explanation:

6. 3 times a number (x) is greater than 10

     3x > 10

7. A number (x) added by 4 is less than or equal to 7

    x+4[tex]\leq[/tex]7

8. 6 is less than a number (x) divided by 6

   6 < x/6

9. The ratio of 10 and a number (x) is greater than or equal to 5

      (10/x) [tex]\geq[/tex] 5

10.The sum of x and 7 is less than 4

     x + 7 < 4

Eliza says, “Every member of the population is equally likely to be selected for the sample”. Which type of sample is Eliza describing?

a
a random sample

b
a biased sample

c
a stratified sample

d
a quota sample

Answers

Answer: A. A random sample

Step-by-step explanation:

Since everyone is equally as likely yo be selected for this sample, is has to be random because there won't be any interference to the probability of your chances of being selected in the population

I hope this helps!

3/4 part of a rope is 150m. find the length of 7/10 part of the rope
Please help ASAP with step by step explanation.

Answers

Answer:

140m

Step-by-step explanation:

3/4 = .75

x/.7 = 150/.75

multiply both sides by .7

x = 150/.75 * .7

x = 140m

Simplify the following surd expressions
a) 7V3 - 2V3 + V3 - 3V3
b) 5V7 +4V7 – 8V7

Answers

Step-by-step explanation:

[tex]a) \: 7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]

[Taking sq.root 3 common]

[tex] = (7 - 2 + 1 - 3) \sqrt{3} [/tex]

[tex] = (8 - 5) \sqrt{3} [/tex]

[tex] = 3 \sqrt{3} (ans)[/tex]

[tex]b) \: 5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]

[Taking sq.root 7 common]

[tex] = (5 + 4 - 8) \sqrt{7} [/tex]

[tex] = (9 - 8)\sqrt{7} [/tex]

[tex] = 1 \sqrt{7} [/tex]

[tex] = \sqrt{7} (ans)[/tex]

Evaluate e^4 to one decimal place

Answers

Answer:

The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6

what is the value of x in a circle​

Answers

Answer:

30°

Step-by-step explanation:

x = 180° -60°-90° = 30°

what is the equation of the following graph in vertex form?

Answers

Answer:

y = (x + 1)²

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 1, 0) , then

y = a(x + 1)² + 0

To find a substitute (0, 1), the y- intercept into the equation

1 = a(0 + 1)² = a

y = (x + 1)²

The area A of a circle is given by the formula: A = pie r ² If the radius of the circle is 7 inches, find the area of the circle​

Answers

The answer is about 153.938

Answer:

49 pi in^2 or approximately 153.86 in^2

Step-by-step explanation:

A = pi r ²

Let r = 7

A = pi 7 ²

A = 49 pi

If we approximate pi by 3.14

A is approximately 153.86 in^2

What is the maximum value of the objective function, P, with the given constraints? P=25x+45y 4x+y≤16 x+y≤10 x≥0 y≥0

Answers

Answer:

the maximum is 450 and the minimum is 0.

Step-by-step explanation:

We know that:

P(x, y) = 25*x + 45*y

First, is easy to see that as x and y increase, also does the value of P(x, y)

So we just need to find the largest and smallest possible values of these variables. We also can notice that the variable y is being multiplicated by a larger coefficient than x, so we prioritize larger values of y when we can.

We know that:

4x+y ≤ 16

x + y ≤10

x≥0

y≥0

Let's start with the second inequality, let's solve this for y:

y ≤ 10 - x

and from the first one we get:

y ≤ 16 - 4*x

Just to show that maximizing x does not work, let's do it:

from the second one, knowing that the minimum value of y is y = 0

we have that:

0 ≤ 16 - 4*x

Here the maximum value that y can take is x = 1

0 ≤ 16 - 4*1 = 0

So we can have the combination y = 0 and x = 1, when we maximize x (here we can see that we should not maximize x)

in this case we get:

P(1, 0) = 25*1 + 47*0 = 25

let's write again our inequalities:

y ≤ 10 - x

y ≤ 16 - 4*x

If now we take the minimum value of x, x = 0, we get:

y ≤ 10

y ≤ 16

Because the first one is more restrictive, we know that the maximum value that y can take (when x = 0) is y = 10

in this case we get:

P(0, 10) = 25*0 + 45*10 = 450

As expected, here is the actual maximum for the given restrictions.

For the minimum, we just need to take the two lowest possible values of x and y, which are the two given by the equalities on:

x≥0

y≥0

The smallest values are:

x = 0

y = 0

Replacing that in the equation we get:

P(0, 0) = 25*0 + 47*0 = 0

So the maximum is 450 and the minimum is 0. (with the given restrictions)

The base of an open rectangular box is of length (2x + 5) cm and width x cm.
The area of this base is 58 cm
The height of the open box is (x - 2) cm.
a) Show that 2x + 5x -58 = 0
) Solve the equation 2x + 5x -58 = 0, giving your answers correct
to 2 decimal places
D) Hence calculate the volume of the box, stating the units of your answer.

Answers

Answer:

a) x = 8.29 cm

D) V = 1125.27 cm³

Step-by-step explanation:

a) We can solve the equation as follows:

[tex] 2x + 5x - 58 = 0 [/tex]

[tex] 2x + 5x = 58 [/tex]

[tex] x = \frac{58}{7} = 8.29 [/tex]

D) The volume of the box is given by:

[tex] V = l*w*h [/tex]

Where:

l: is the length

w: is the width

h: is the height

The length of the rectangular box is:

[tex] l = (2x + 5) cm = (2*8.29 + 5) cm = 21.58 cm [/tex]

The width is x = 8.29 cm.

And the height is:

[tex] h = (x - 2) cm = (8.29 - 2) cm = 6.29 cm [/tex]

Hence, the volume is:

[tex] V = l*w*h = (21.58*8.29*6.29) cm^{3} = 1125.27 cm^{3} [/tex]

I hope it helps you!        

what is the 1QR 14,11,8,1,23,20,17,5,19,10,12,22

Answers

Answer:

Step 1: Put the numbers in order.

1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 2: Find the median.

1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 3: Place parentheses around the numbers above and below the median.

Not necessary statistically, but it makes Q1 and Q3 easier to spot.

(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).

Step 4: Find Q1 and Q3

Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.

(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.

Step 5: Subtract Q1 from Q3 to find the interquartile range.

18 – 5 = 13.

Step-by-step explanation:

14: A popular retailer offered 20% off their store for the entire weekend. Which of the following is the fraction equivalent of 20%?

Answers

Answer:

1/5

Step-by-step explanation:

20/100 or 1/5

Sal knows the volume of a cylinder is 500 cubic units. He wants to create a cylinder with twice the volume. Which variation of the original cylinder will have a volume of exactly 1,000 cubic units?

Answers

You can double the height

What is m angle A? Enter your answer in the box.​

Answers

Answer:

ANSWER: 22

Step-by-step explanation:

hope it helps thankks

Answer:

I agree with the person above

Find the length of "b" to the nearest tenth.

Answers

Answer:

11.2

Step-by-step explanation:

(AB) ^2 - (BC) ^2 = b^2 (Pythogoras Theorem)

(15)^2 - (10)^2 = (b) ^2

b^2=225-100

b^2=125

b=root (125)

b=11.18

b=11.2

2x to the power of -2
the answer is apparently 2 over x squared
explain this

Answers

Answer:

See Below

Step-by-step explanation:

When you have a negative exponent, you divide by the exponent hence the flipping. Here is an example to make it easier to explain.  Below are some power of ten:

[tex]10^3=1000\\10^2=100\\10^1=10\\10^0 =1\\10^{-1}=\frac{1}{10} =\frac{1}{10^1} \\10^{-2}=\frac{1}{100} =\frac{1}{10^2}[/tex]

When you go from an exponent to the one below it, you divide by the base. For example, to go from [tex]10^3[/tex] to [tex]10^2[/tex], you divide by ten. This is the same principle used to find the values of negative exponents. [tex]10^0[/tex] is [tex]10^1[/tex] divided by 10, so [tex]10^{-1}[/tex] should be [tex]10^0[/tex] divided by ten. [tex]10^0[/tex] is 1, making the value of [tex]10^{-1}[/tex] as [tex]\frac{1}{10}[/tex]. When you divide by ten, you multiply by [tex]\frac{1}{10}[/tex], this effect makes the exponent stack on the bottom and correspond to the magnitude of the power.

For this specific example, we can write:

[tex]2x^{-2}[/tex]

We are raising x to the power of negative 2, so we can say it is the same as [tex]\frac{1}{x^2}[/tex]. We are also multiplying by 2, so that's how we get [tex]\frac{2}{x^2}[/tex]

If you need more of a visual, here are the powers of x:

[tex]x^2\\x^1=\frac{x^2}{x} \\x^0=\frac{x^1}{x}=1 \\x^{-1}=\frac{1}{x} \\x^{-2}=\frac{x^{-1}}{x}=\frac{1}{x*x}=\frac{1}{x^2}[/tex]

And we just multiply 2 times the value of [tex]x^{-2}[/tex].

Hope this helps.

PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate​

Answers

Answer:

(0.5, -3.5)

Step-by-step explanation:

(x1 + x2/2,   y1 + y2/2)

(-2 + 3 / 2,   -5 - 2 / 2)

(1/2, -7/2)

I have a bag of coins.In it, one third is gold, one fifth of them are silver, two seventh are bronze the rest are copper. My bag can only fit 200 coins how many coins do i have in my bag?

Answers

Answer:

Copper = x= 36.19

Step-by-step explanation:

The number of copper is unknown

Gold = 1/3

Silver = 1/5

Bronze =2/7

Copper = x

Total coins = 200

Gold = 1/3 of 200

= 1/3 × 200

= 200/3

= 66.67

Silver = 1/5 × 200

= 200/5

= 40

Bronze = 2/7 × 200

= 400/7

= 57.14

Total = gold + silver + bronze + copper

200 = 66.67 + 40 + 57.14 + x

200 = 163.81 + x

200 - 163.81 = x

x = 36.19

Copper = x= 36.19

what is the mass of an object that has a density of 0.7g/cm^3 and a volume of 8cm^3? (The density of an object has the equation d= m/v)

Answers

Mass=5.6
Find this by plugging your values into the density formula and solving for M.

which information could he have used to determine this?

Answers

Answer:

c

Step-by-step explanation:

If it equals the double of one angle that means it is bisected in to 2 equal parts

What is the circumference of a circle with a diameter of 12 feet? (use 3.14 for pi)

36 ft.
37.68 ft.
36.26 ft.
38 ft.

Answers

Answer:

37.68ft

Step-by-step explanation:

Answer:

37.68 ft

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d  where d is the diameter

C = 3.14 * 12

C =37.68 ft

10. What are the coordinates of point on the directed segment from A(2,-3) to B(8,-6) that
partitions the segment such that AC:CB is 4:2?
(1) (6,-5)
(3) (2,0)
(2) (-2, 2)
(4) (1, 1)

Answers

Answer:

(4, -4)

Step-by-step explanation:

Using the midpoint formula;

M(X,Y) = {(ax1+bx2)/a+b, (ay1+by2)/a+b}

X = (ax1+bx2)/a+b

Y = (ay1+by2)/a+b

Substitute

X = 4(2)+2(8)/4+2

X = 8+16/6

X = 24/6

X = 4

Also

Y = 4(-3)+2(-6)/6

Y = -12-12/6

Y = -24/6

Y = -4

Hence the required partition is (4, -4)

PR and SU are parallel lines.


Which angles are alternate interior angles?

Answers

Answer:

Alternate interior angles are on opposite sides of the transversal, and between the parallel lines

Step-by-step explanation:

Simplify the expressions. 3p+-q-7r--8p-q+2r

Answers

Answer:

=11p-5r

Step-by-step explanation:

3p+(-q)-7r-(-8p)-q+2r=

3p-q-7r+8p-q+2r=

3p+8p-q-q-7r+2r=

11p-5r=

Find the size of the angle below

Answers

Answer:

i wish i could tell you

Step-by-step explanation:

The plastic straws were placed under the wooden block to

Answers

Answer:

What? Your not even done.

Step-by-step explanation:

By writing each number correct to 1 significant figure, estimate the value of
37.8 x 13.2
28,5 + 22.1
You must show all your working.​

Answers

Answer:

37.8 x 13.2 =4988.6

28,5 + 22.1 = 50.6

Other Questions
why is Mr Birling hate eva 13. Supporters of Madison's view about the inclinations of members of Congress could point to which of the follow ing actions ? (A) Members of Congress voting to authorize increased military spending (B ) Members of Congress using earmarks to direct federal money to local projects Members of Congress requiring federal oversight for cleanup of toxic waste sites ( ) Congress authorizing the use of states " National Guard units to patrol the country's borders PLEASE HELP ME WILL MARK YPU IF YOU HELP ME What is the South African law that is unjust 15 points please explain it to me add the answer and the work since Im so confused on when to subtract missing lengths where and when Nikki bought a patio set on sale for $480. The original price was $850. What was the rate of discount?Round your answer to the the nearest tenth of a percent How did William the Conqueror and King Henry II of England expand the monarchys power? Use the cause-effect graphic organizer to organize your ideas. On each line, describe an effect of the (sorry for incomplete question its what was written) Which list of numbers can be described by the following rule?A. 33,49,67B.65,49,33C.33,49,65D.65,48,33 Determine the equation of the circle shown in the graph. can someone please help 5 x 10 - 2 = ??HALP MOIIIIIIIIIIIIIIIIIIIIII Use algebra to solve 3x+4 = 1/xThe exact solutions are x= You bought 6 bars of home made soap from eBay, and weighed them on an electronic scale. They weighed 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces. What is the average weight of the bars? *DON'T ROUND*1. 4.010 ounces.2. 4.007 ounces.3. 24.042 ounces. what can scientists learn from radiometric dating? A- how long ago a plant or animal livedB- how much time it took a fossil to formC- where a plant or animal livedD- whether a fossil has modern relatives what is the evaluation 7w -14 for w = 9 A graph titled Population of Ohio has years on the x-axis and population (millions) on the y-axis. Points are at (1930, 7), (1950, 8), (1970, 10.5), (1990, 10.8), (2010, 11.8). What is the purpose of using a scatterplot? Check all that apply. to organize bivariate data to plot points to connect a line to plot points for two sets of data to compare dependent and independent variables to visualize relationships between data to find the slope between two variables What are the non-lawmaking functions of Congress, and how can they influence the politics of race and ethnicity? Why is Bastille Day a symbol of French national pride? It marks the day when King Louis XIV and Marie Antoinette were executed. It shows how effective peaceful demonstrations can be. It shows that the three Estates of 18th century France were able to agree. It celebrates a day when the French masses rose up against oppression. In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 23 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm3. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x=8.16 cm3 and s=0.7 cm3. Conduct the appropriate test at the =0.01 level of significance. What did the wind ask the leaves to do