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Amiraneli [1.4K]
3 years ago
8

Tell if the measures 10, 12, and 16 can be the side lengths of a triangle. If so, classify the triangle as acute, obtuse, or rig

ht.
Mathematics
1 answer:
Daniel [21]3 years ago
3 0

Answer:

Yes, acute

Step-by-step explanation:

Because 10 and 12 add up to more than 16, it is possible to construct an acute triangle with these side lengths.  Since 10^2 + 12^2 ≠ 16^2, we know that any triangle so constructed will not be a right triangle.

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The diameter of the attic is 18ft and its height is 18ft. What's is the volume of the space in the attic
Svet_ta [14]
I attached an image with the complete question.

Answer:
volume of attic = 1526.04 ft³

Explanation:
Volume of cone can be calculated using the following rule:
Volume = \frac{1}{3} * area of base * height
Volume = \frac{1}{3} * π * radius² * height
We are given that:
π = 3.14
radius = 18/2 = 9 ft
height = 18 ft

Substitute in the equation to get the volume as follows:
Volume = \frac{1}{3} * 3.14 * (9)^2 * (18) = 1526.04 ft³

Hope this helps :)

5 0
3 years ago
20+20+20+20+20+10+5+5
Vaselesa [24]

the answer to this equation is 120

4 0
3 years ago
Read 2 more answers
ABCD is a rhombus. If m<1=122, then what is the measure of <2 and <3
Svetach [21]
M < 2 will be 180 - 122 =  58 degrees

< 3 is opposite < 1 so it will be = 122 degrees
4 0
3 years ago
What is the equation of a line that passes through (-2,1) and is parallel to y=3x-4
Rama09 [41]
If a line is parallel to another, the slopes of both lines are the same. So for this problem, you can infer that the slope of the line you're trying to find is 3.

To find the actual equation of the line, you can use the given coordinates and plug them into the point slope form:

y - y1 = m(x - x1)

plug the given y coordinate into y1 and the given x coordinate into x1. m is the slope, so plug in 3 for m.

y - 1 = 3(x +2) Use distributive property for right side of equation

y - 1 = 3x + 6 add 1 to both sides to cancel -1 on left side of equation and isolate y

Equation of line: y = 3x + 7


3 0
3 years ago
2. Four less than six times a number is 32. Write and solve an equation.
zhenek [66]

Answer:

6x - 4 = 32. The variable (times a number) is equal to 6.

Step-by-step explanation:

So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.

Four less than 6 times a number: 6x - 4 _ __.

Now we can add the equal sign and the 32: 6x - 4 = 32.

We can now solve. Add 4 to both sides of the equation to cancel out the -4:

6x - 4 = 32

    <u>+4   + 4</u>

6x  =    36

Now we divide 6 into both sides of the equation to single out the x.

<u>6x = 36</u>

6      6

36/6 = 6, so:

x = 6

I hope that this helps.

8 0
2 years ago
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