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Oksi-84 [34.3K]
3 years ago
7

A company logo is shaped like an equilateral triangle with 6-inch long sides. What is the height of the logo? Round to the neare

st tenth.
Mathematics
1 answer:
blondinia [14]3 years ago
6 0

Answer:

5.2 in

Step-by-step explanation:

An equilateral triangle is a triangle with 3 equal sides

Divide the equilateral triangle into two congruent triangles and use Pythagoras theorem to find the height

The Pythagoras theorem : a² + b² = c²

where a =  height

b = base = 6 in / 2 = 3 in  

c =  hypotenuse = 6 in

6² = 3² + h²

h = 36 - 9 = 27

√27 = 5.196 inch

to the nearest tenth = 5.2 in

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

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4 years ago
I need help<br><br><br><br>30% of _____ is 60​
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Answer:

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Step-by-step explanation:

keep in mind 3*2=6

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5 0
4 years ago
A positive real number is 2 more than another. If the sum of the squares of the two numbers is 42, find the numbers.
Brilliant_brown [7]

Answer:

Step-by-step explanation:

From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that \\ (x+2)^{2}+y^{2}=42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y=\sqrt{42}. Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y=\sqrt{42}+2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+\sqrt{42}+2. now we know what X is equal to. Now we plug in x for \\ (x+2)^{2}+y^{2}=42, which gives us          (-y+\sqrt42}+2+2)^{2}+y^{2}=42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+\sqrt{42}+4+y=\sqrt{42}. I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.

6 0
3 years ago
A water tank hols 540 galloms but is leaking at a rate of 4 gallons per week a second water tank holds 720 gallons but is leakin
Murrr4er [49]
Let after n week both tanks have same quantity of water .

for first tank
=============
tank hold 540 gallon of water ,
leaking of water 4 gallon /week
so, in n week water leak from the tank =4× n = 4n

now, after n week quantity of water in the tank = 540 -4n

for second tank
==============
quantity of water in the tank =720 gallon
leaking of water at the rate = 7gallon/week
so, after n week water leak from the tank = 7× n =7n

after n week quantity of water rest in the tank = 720 -7n

now ,
according to question ,

water in first tank = water in second tank
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7n -4n = 720 -540

3n = 180

n = 60

hence , after 60 week both tank have same quantity of water.
4 0
4 years ago
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