Answer:
First take 0.23 as 0.23/1
Then Multiply the numerator and denominator by any number, Let us say 100
So it becomes,
0.23 x 100/100
=> 23/100
The relationship is that the 4 in the hundredths place is 10 times greater than the 4 in the thousandths place.
Complementary angles add up to 90°
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Ratio
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7 : 3
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Find total parts :
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Total parts = 7 + 3 = 10
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Find 10 parts :
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10 parts = 90
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Find 1 part :
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1 part = 90 ÷ 10 = 9
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Find 7 parts :
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7 parts = 9 x 7 = 63
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Find 3 parts :
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3 parts = 9 x 3 = 27
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Answer: The ratio of the two angles are 63:27
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Answer:
5a. ΔGKM ~ ΔSPM by SAS
b. ΔABC is not similar to ΔDEF
6. The missing side is 2![\sqrt{11}](https://tex.z-dn.net/?f=%5Csqrt%7B11%7D)
Step-by-step explanation:
5a. Yes, the triangles are similar.
<KMG ≅ <PMS (vertically opposite angles)
ΔGKM ~ ΔSPM by SAS
Ratio: GM:SM OR KM:PM
3:6 OR 2:4
1:2 OR 1:2
Ratio: 1:2
b. No, the triangles are not similar
ΔABC is not similar to ΔDEF
Ratio: AC:DF OR AB:DE
4:6 OR 2:4.5
1:1.5 ≠ 1:2.25
Ratio: not similar
6. let the missing side of the triangle be represented by x. Since the triangle is a right angled triangle, then applying the Pythagoras theorem we have;
=
+ ![/adj2/^{2}](https://tex.z-dn.net/?f=%2Fadj2%2F%5E%7B2%7D)
=
+ ![/10/^{2}](https://tex.z-dn.net/?f=%2F10%2F%5E%7B2%7D)
144 =
+ 100
= 144 - 100
= 44
x = ![\sqrt{44}](https://tex.z-dn.net/?f=%5Csqrt%7B44%7D)
= ![\sqrt{4 *11}](https://tex.z-dn.net/?f=%5Csqrt%7B4%20%2A11%7D)
= 2![\sqrt{11}](https://tex.z-dn.net/?f=%5Csqrt%7B11%7D)
x = 2![\sqrt{11}](https://tex.z-dn.net/?f=%5Csqrt%7B11%7D)
The missing side is 2
.
Destiny has 4*.49 = 1.96 L of acid. In order for the 1.96 L of acid to be 14% of the solution, there must be 1.96/.14 = 14 L of solution.
Destiny must add 14 L -4 L = 10 L of water to make the desired solution.