1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mkey [24]
3 years ago
5

If the perimeter of an equilateral triangle is 36 inches what is the perimeter of it’s image under a dilation with a scale facto

r of 4
Mathematics
1 answer:
alexdok [17]3 years ago
6 0

Answer:

The perimeter of the image is 144 inches

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

so

The perimeter of the image is equal to the perimeter of the pre-image multiplied by the scale factor

36(4)=144\ inches

You might be interested in
Find the tenth term of the geometric sequence, given the first term and common ratio.
Natalija [7]

Answer:

a_{10}=\dfrac{1}{128}

Step-by-step explanation:

In the geometric series:

a_1=4\\ \\r=\dfrac{1}{2}

The nth term of the geometric sequence can be calculated using formula

a_n=a_1\cdot r^{n-1}

In your case, n = 10, then

a_{10}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^{10-1}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^9\\ \\=2^2\cdot \dfrac{1}{2^9}\\ \\=\dfrac{1}{2^{9-2}}\\ \\=\dfrac{1}{2^7}\\ \\=\dfrac{1}{128}

8 0
3 years ago
Suppose a triangle has sides 3, 4, and 6. Which of the following must be true? A: The triangle in question is not a right triang
Talja [164]

Answer:

A: The triangle in question is not a right triangle.

Step-by-step explanation:

If the triangle is a right triangle, then the Pythagorean theorem would hold

a^2 + b^2 = c^2

3^2 + 4^2 = 6^2

9+16 = 36

25 = 36

This is not true so this is not a right triangle

7 0
3 years ago
Read 2 more answers
You want to find out how sleep deprivation affects motor performance. To study this, you have sleep-deprived subjects (such as p
marysya [2.9K]

Answer:

179.5 - 180.5

Step-by-step explanation:

Time is a continuous variable. The minimum sleep time per night per subject here, is given as 1 minute.

Larger sleep times could be 1.08 minutes, 2.99 minutes, and other continuous/infinite values. Remember there are 60seconds in a minute and in-between seconds, there are milliseconds. So time is a continuous variable.

In this case though, our measurement of time is given in whole number units (integers). Our precision of measurement is 1 unit. We have an observed value of 180 minutes (the first subject's sleep time). The real limits of this value are 179.5 to 180.5

7 0
3 years ago
A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the t
Rashid [163]

Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\cdot (n-k)!}

Compute the number of ways to select 37 people from 101 as follows:

{101\choose 37}=\frac{101!}{37!\cdot (101-37)!}

        =\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

5 0
2 years ago
Can someone help me with this problem [-64x(-5)-2x(3)]
galina1969 [7]
The answer is 314
(^o^)
5 0
3 years ago
Read 2 more answers
Other questions:
  • Explain two ways to find the sale price of an item marked 30% off
    13·2 answers
  • What is the solution to the system of equations?<br><br> (7, 9)<br> (9, 7)<br> (–5, 11)<br> (11, –5)
    15·2 answers
  • "The standard form of a linear equation is Ax+By=C. For each set of values given, tell if the linear equation represents a horiz
    10·1 answer
  • Where is Bosnia located
    12·2 answers
  • What is the value of 3x^2– 7x + 9 when x = 4?
    5·1 answer
  • Kim drew a map of the Mississippi River. The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi
    15·1 answer
  • Evaluate the expression x^3 - (3 + x)^2 for =4x
    7·1 answer
  • 22. Choose ALL the expressions that are equal to 18m+36*
    5·2 answers
  • HELP PLZ! This is something I'm not very good at (that means exponents).
    9·1 answer
  • HELP !!!! when will someone -
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!