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fenix001 [56]
3 years ago
6

A company makes traffic signs.One of their signs can be modeled by an equilateral triangle with a perimeter of 144 inches. The c

ompany makes a similar sign with perimeter that is 1.25 times the one shown. What is the height in inches of the larger sign?
Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0

Answer:

The perimeter of the larger sign : 144*1,25= 180 inches

Side of the triangle= 180/3= 60 inches

square of the height= 60^(2) - 30^(2)= 2700 ( Pythagoras' theorem)

height= square root ( 2700)= 51,96

Step-by-step explanation:


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The slope of the line whose equation is 3x - 2y = 4 is 2/3 3/2 -2
7nadin3 [17]

Answer:

3/2

Step-by-step explanation:

The equation 3x-2y=4 can be written in the form of y=mx+c where m is the slope and c is the y intercept.

Therefore

2y=3x-4 and dividing both sides by 2 to have y at the LHS

y=3/2x-2

Therefore, 3/2 represents the gradient/slope

6 0
3 years ago
In the figure p || q...​
liberstina [14]
Answer: d. 102

Why
If 6 is 78 then 5 is 102 and since 1,3,5,and 7 are equal 3 is 102. [180-78=120(180 is the straight line)]
8 0
3 years ago
The Greek mathematician Eratosthenes (ca. 276-195 BC) measured the circumference of the earthfrom the following observations. He
denpristay [2]

Answer:

Radius of the Earth is 3978.8 Miles

Circumference of the Earth is 25000 Miles

Step-by-step explanation:

The angle of the sun shone at an angle of 7.2° to the zenith

This means that the angle of the sector of the circle is 7.2° (θ)

S = Length of the sector of the circle = 500 miles

r = radius of earth

Converting 7.2° to radians

\theta =7.2\frac{\pi}{180}

S=r\theta\\\Rightarrow r=\frac{S}{\theta}\\\Rightarrow r=\frac{500}{7.2\frac{\pi}{180}}\\\Rightarrow r=3978.8\ Miles

∴ Radius of the Earth is 3978.8 Miles

C=2\pi r\\\Rightarrow C=2\times \pi \frac{500}{7.2\frac{\pi}{180}}\\\Rightarrow C=25000\ Miles

∴ Circumference of the Earth is 25000 Miles

5 0
3 years ago
The half-life of strontium -90 is approximately 29 Year’s . How much of a 150 g sample of strontium-90 will remain after 116 yea
marin [14]
The half-life is 29 years.
116 : 29 = 4
So we will have 4 periods of half-life:
( 1/2 )^4 = 1/16
150 g * 1/16 = 9.375 g
Answer:
9.375 g of strontium -90 will remain after 116 years.
3 0
3 years ago
Haven't unpaid credit card balance is $2103.23 his APR is 14.4% what is his new balance if you made one new transaction for $390
Effectus [21]
New balance
2,103.23+(2,103.23×0.144)+390
=2,796.095
3 0
3 years ago
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