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Snowcat [4.5K]
3 years ago
5

A street sign company is making street signs in the shape of equilateral triangles. The side length of each sign is 22 inches. W

hat is the exact altitude length so that the company will be able to know what size box to ship them in?​

Mathematics
1 answer:
Damm [24]3 years ago
6 0

Answer:

11sqrt3

Step-by-step explanation:

For a equilateral triangle with side s, the altitude is (sqrt3 /2)s

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Solve the system of equations.<br> 3x + y = 3 <br> x + y = 2
qwelly [4]
When solving system equations, we can use substitution method or elimination. Today I'm using substitution method.

First name the 2 equations.
3x + y = 3 (1)
x + y = 2 (2)

Now pick one equation and express one algebra in forms of the other.
From (2),
x = 2 - y (3)

Now substitute (3) into (1),
3(2-y) + y = 3
6 - 3y + y = 3
6 - 2y = 3
6 - 3 = 2y
y = 1.5

Now substitute y = 1.5 into (2)
x + 1. 5 = 2
x = 2 - 1.5
x = 0.5

Therefore the answer is x = 0.5 and y = 1.5
5 0
3 years ago
A cube has a length, width and height of 6 feet. What is the volume in cubic INCHES?
rodikova [14]

Volume of cube = ( side)^3

Side = 6 feet = 6×12 = 72 inches ( 1ft =12 inch)

Vol. = (72)^3 = 72×72×72= 373248 cubic inches

6 0
3 years ago
How many L of an 85% alcohol solution must be mixed with 6 L of a 55% alcohol solution to make a 65% solution?
zepelin [54]

Answer:

3 Liters of the 85% Solution

Step-by-step explanation:

You have to draw your buckets. I can't on computer so imagine the fraction bar is the bottom of the buckets.

\frac{85}{x}+\frac{55}{6}=\frac{65}{x+6}

Then we multiply the top of the buckets with the bottom:

85x+330=65x+390

Now we simplify and solve

20x=60

x=3

You need 3 liters of the 85% solution!

4 0
3 years ago
At the fabric store, Marisela spends $9.00 on 1 1/8 yards of fabric. How much does one yard of fabric cost?
Margaret [11]

Answer:

8 dollars

Step-by-step explanation:

First, convert the yards to decimals, 1/8 is equivalent to .125, therefore 1 1/8 yards is 1.125

Next, since we know that 1 1/8 yards of fabric is $9, we can divide 9 by 1.125 in order to find the cost of one yard of fabric

9/1.125=8, therefore your final answer is $8

Don't forget to put units if this is a test question (or practically in any case), the unit in this case is $(dollars)

8 0
4 years ago
The function (t) = 300,000t represents the distance (in kilometers) that light travels in t seconds
Anika [276]

Answer:

The answer is: 4,500,000 kilometers or in scientific notation: 4.5 x 10^6 kilometers.

Step-by-step explanation:

Multiply to get the answer:

300,000 * 15 =

4,500,000 km

In scientific notation: 4.5 x 10^6

4 0
3 years ago
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