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Nana76 [90]
2 years ago
8

Write 18.4 as a fraction in lowest terms

Mathematics
2 answers:
Lapatulllka [165]2 years ago
5 0

Answer:

Divide each side of 18/4 by 2 to get <u>9/2.</u>

Elanso [62]2 years ago
4 0

Answer:

184/10

Step-by-step explanation:

You have to delete the comma (,) so, by doing ×10 you have 18,4 -> 184. By doing ÷10 you have a fraction: 184/10 that is equal to 18.4

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Can someone help me with this question on Prodigy? ​
lions [1.4K]

Answer:

  8 +(3/8)√53 in² ≈ 10.73 in²

Step-by-step explanation:

Given the net of a triangular pyramid with some of the dimensions filled in, you want to find the total surface area.

<h3>Triangle base</h3>

The triangle bases identified by dashed lines will have a length equal to the hypotenuse of the right triangles with legs shown as solid lines. The legs of each of those right triangles are ...

  a = (3 in)/2 = 1.5 in

  b = 2 in . . . . . . shown as the altitude of the triangle

Then the hypotenuse is found using the Pythagorean theorem:

  c² = a² +b²

  c² = 1.5² +2² = 2.25 +4 = 6.25

  c = √6.25 = 2.5

The dashed lines are 2.5 inches long.

<h3>Triangle altitude</h3>

The altitude from the solid horizontal line to the vertex at the bottom of the figure can be found using the fact that all of the outside edge lengths of the net are the same length. That edge length is found as the length of the hypotenuse of the right triangles in the left- and right-sides of the upper portion of the net. Each of those has a leg that is (2.5 in)/2 = 1.25 in and a leg marked as 2 in.

  c² = a² +b²

  c² = 1.25² +2² = 1.5625 +4 = 5.5625

  c = (√89)/4 ≈ 2.358 . . . in

The unmarked altitude of the bottom triangle is then ...

  b² = c² -a²

  b² = 89/16 -1.5² = 53/16

  b = (√53)/4 ≈ 1.820 . . . in

<h3>Surface area</h3>

The surface area of the figure is the sum of the areas of the four triangles that make up the net. Each triangle has an area given by the formula ...

  A = 1/2bh

The left and right triangles have b=2.5, h=2, so they each have an area of ...

  A = 1/2(2.5)(2) = 2.5 . . . . in²

The center triangle has dimensions of b=3, h=2, so an area of ...

  A = 1/2(3)(2) = 3 . . . . in²

The bottom triangle has dimensions of b=3, h=(√53)/4, so an area of ...

  A = 1/2(3)(√53/4) = (3/8)√53 ≈ 2.730 . . . . in²

The total surface area is the sum of the areas of these triangles, so is ...

  A = 2.5 in² +2.5 in² +3 in² +2.73 in² = 10.73 in²

The surface area of the triangular pyramid is (64+3√53)/8 ≈ 10.73 in².

__

<em>Additional comment</em>

Often we work with pyramids that are rotationally symmetrical about a vertical line through the peak. This one is not. The altitude of the bottom triangle in the net is less than the altitude of the other triangles. This short face of the pyramid will tend to be more vertical than the other two lateral faces.

4 0
1 year ago
The _______ of any statistical test represents the probability that the results were obtained by chance alone.
Levart [38]
ρ-Value, Probability Value, or <span>Observed Level of Significance
is the definition of </span><span>any statistical test represents the probability that the results were obtained by chance alone.</span>
6 0
2 years ago
PLEASE HELP! The sum of Louise’s age and Todd’s age is 34 years. Five years ago, the sum of twice Louise’s age and three times T
Hoochie [10]

Answer:

Louise is 16

Todd is 18

Step-by-step explanation:

8 0
3 years ago
Carter has 37 coins, all nickels and dimes in his piggy bank. The value of the coins is $3.10. How many dimes does Carter have?
Arisa [49]
The answer is 
n = 37 - d
0.05n + 0.10d = 3.10
He has 25 dimes.

n - the number of nickles
d - the number of dimes

n = $0.05
d = $0.10

<span>Carter has 37 coins: n + d = 37
</span><span>The value of the coins is $3.10: 0.05n + 0.10d = 3.10


</span>n + d = 37
0.05n + 0.10d = 3.10
_____
n = 37 - d
0.05n + 0.10d = 3.10
_____
0.05(37 - d) + 0.10d = 3.10
1.85 - 0.05d + 0.10d = 3.10
1.85 + 0.05d = 3.10
0.05d = 3.10 - 1.85
0.05d = 1.25
d = 1.25 : 0.05
d = 25
3 0
3 years ago
I WILL GIVE BRAINIEST!! What is 5x+2y=24 in slope intercept form?
iogann1982 [59]

Answer:

I'm not sure what you mean but I will solve for everything

2y = 24 - 5x

y = -(5/2)x + 12

y int. = 12

slope is -5/2

x int = 24/5

I get it now

slope int. form is y = mx + b where m is -5/2 and b is 12

5 0
3 years ago
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