Answer:
Step-by-step explanation:To convert part-to-part ratios to fractions:
Use the total number as the denominator: 6 + 8 = 14.
Use each of the ratio terms as the numerator in a fraction: ...
Reduce each fraction to lowest terms: ...
The part-to-part ratio 6 : 8 converts into the fractions:
The formula of a perimeter of rectangle:
P = 2(w + l)
We have l = 12 in and P = 56 in.
Substitute:
2(w + 12) = 56 <em>use distributive property</em>
(2)(w) + (2)(12) = 56
2w + 24 = 56 <em>subtract 24 from both sides</em>
2w = 32 <em>divide both sides by 2</em>
w = 16
<h3>Answer: D. 16 in.</h3>
Answer: 22 meters
<u>Step-by-step explanation:</u>
Draw a picture of a right triangle and label the height as 30 meters and the hypotenuse as 37 meters. Use the Pythagorean Theorem to find the base (the length of the shadow).
a² + b² = c²
x² + 30² = 37²
x² = 37² - 30²
x² = 1369 - 900
x² = 469
√x² = √469
x = 21.656
x ≈ 22
(2 x 2) + (4 x 4 x 4) x (4 x 4 x 4) =
4 + 64 x 64 =
4 + 4096 =
4100
Answer:
< x = 120°
Step-by-step explanation:
Step 1:
According to angle sum property,
y + 50 + 70 = 180
Step 2:
x and y are linear pairs, forming a supplementary angle.
Therefore,
x + y = 180
Step 3:
Since they are both equal to 180, equate the values
y + 50 + 70 = x + y
x = 70 + 50
x = 120