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
hoa [83]
3 years ago
13

The ratio of the measures of the sides of a triangle is 8: 15: 17, and its perimeter is 480 in.. Find the measure of the shortes

t side of the triangle.
Mathematics
1 answer:
lubasha [3.4K]3 years ago
6 0

Answer:

96

Step-by-step explanation:

The ratio of the measure of sides of a triangle are 8:15:17

The perimeter is 480

8x + 15x + 17x= 480

40x= 480

x = 480/40

x = 12

Therefore the measure of the shortest side of the triangle can be calculated as follows

8x

8×12

= 96

You might be interested in
write the equation of the line, in standard form, that is perpendicular to y=3x-2 and passes through (-7,2)
34kurt

Answer:

x+3y=-1

Step-by-step explanation:

y=3x-2 so m=3 old slope

the new slope must be -1/3 (opposite reciprocal of the old slope).

y-y0=m*(x-x0)

y-2=-1/3*(x-(-7))

y-2=-1/3x-1/3*7

y-2=-1/3x-7/3

3y-6=-x-7

The standard form for linear equations in two variables is Ax+By=C.

x+3y=6-7

x+3y=-1

8 0
3 years ago
Which fractions are equivalent to 12/15
matrenka [14]

Answer:

4/5                24/30

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The temperature changes from 9°F to -5°F. Which of the following expressions model the distance on thermometer between 9°F and -
scoray [572]

Answer:

d = |- 5- 9|

Step-by-step explanation:

Given

Initial = 9^\circ F

Final = -5^\circ F

Required

Determine the difference

Represent this with d.

d is calculated using

d = |Final - Initial|

The equation becomes

d = |- 5- 9|

3 0
3 years ago
A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that
snow_tiger [21]

Answer:

12800 + 100x \le 24000

A maximum of 112 number of 100 - kilograms can be loaded in the container.

Step-by-step explanation:

Given that:

Weight of each crate = 100 kg

The greatest weight that can be loaded in the container = 24000 kg

Weight already loaded in the container = 12800 kg

To find:

The inequality to determine the value x i.e. number of 100 - kilograms that can be loaded in the shipping container?

Solution:

Weight already loaded = 12800 kg

Let the number of 100 - kilograms that can be loaded in the container = x

Weight of x = 100x kg

This combined weight nor be greater than the capacity of the container.

OR we can say, it must be lesser than or equal to greatest weight that can be loaded into the container.

12800 + 100x \le 24000

100x \le 24000 - 12800\\\Rightarrow 100x \le 11200\\\Rightarrow x \le 112

i.e. a maximum of <em>112</em> number of 100 - kilograms can be loaded in the container.

5 0
3 years ago
Consider 4 flips of an unfair coin where probability of heads is 0.40. Consider all tosses independent of each other. (a) Compar
romanna [79]

Answer:

a) 0.0256 = 2.56% probability of 4 heads.

0.1296 = 12.96% probability of 4 tails.

b) The probability is 0.0576 = 5.76%.

c) 6 outcomes given 2 heads in 4 tosses. 0.3456 = 34.56% probability of 2 heads in 4 tosses

Step-by-step explanation:

For each throw, we have these following probabilities:

0.4 = 40% probability of heads.

0.6 = 60% probability of tails.

(a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses.

4 heads:

4 throws, each with 0.4 probability of heads. So

(0.4)^4 = 0.0256

0.0256 = 2.56% probability of 4 heads.

4 tails:

4 throws, each with 0.6 probability of tails. So

(0.6)^4 = 0.1296

0.1296 = 12.96% probability of 4 tails.

(b) Determine the probability of H T H T in 4 tosses.

H = 0.4, T = 0.6. So

p = 0.4*0.6*0.4*0.6 = 0.0576

The probability is 0.0576 = 5.76%.

(c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)

Number of outcomes:

The possible outcomes are:

H - H - T - T

H - T - H - T

H - T - T - H

T - H - H - T

T - H - T - H

T - T - H - H

6 outcomes given 2 heads in 4 tosses.

Each with probability 0.0576, as found in b)

6*0.0576 = 0.3456

0.3456 = 34.56% probability of 2 heads in 4 tosses

8 0
3 years ago
Other questions:
  • Which irrational number can be added to pi to get a sum that is rational?
    11·2 answers
  • 50 ÷ (-5) =<br><br><br> Please simplify
    8·1 answer
  • Hayley is making loaves of banana bread. She needs two eggs for each loaf. She is going to make 10 loaves. Write a number senten
    7·1 answer
  • Determine the slope of the line through each pair of points (-4, 3) and (2, -3)
    10·2 answers
  • Which ordered pairs could describe the locations of vertex y and vertex z
    14·1 answer
  • PLEASE HELP ASAP
    6·2 answers
  • Find the discriminant.<br> 7z2–7z+1=0
    15·1 answer
  • HELP PLEASEEE ASAP ILL GIVE BRAINLIEST!!!
    11·1 answer
  • Line a passes through points
    9·1 answer
  • 3x + 3y = 9<br> -3x + 2y = 1
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!