Answer:
8 feet
Step-by-step explanation:
You would use the Pythagorean theorem to find it.
a^2 + b^2 = c^2
Therefore:
6^2 + b^2 = 10^2
36 + b^2 = 100
-36 -36
b^2 = 64
Square root both sides
b = 8
Area of Consuela's rectangular living room = 360 square feet
Let us assume the the length of the living room = x
Then
width of the living room = (5/8) * x
= (5x/8)
Then
Area of the rectangle = Length * Width
360 = x * (5x/8)
360 = 5x^2/8
2880 = 5x^2
x^2 = 2880/5
x^2 = 576
x^2 = (24)^2 inches
x = 24
Then
The length of the rectangle is = 24 inches
And
The Width of the rectangle is = 24 * (5/8) inches
= 3 * 5 inches
= 15 inches
Answer:
<em>x</em> = 3
<em>y</em> = -7
Step-by-step explanation:
<em>y</em> = -4<em>x </em>+ 5
<em>y </em>= 3<em>x </em>- 16
<u>Substitute </u><u><em>y</em></u><u> in the first equation with 3</u><u><em>x</em></u><u> - 16</u>
3<em>x</em> - 16 = -4<em>x </em>+ 5
+4<em>x </em>+4<em>x</em>
7<em>x</em> - 16 = 5
+16 +16
7<em>x</em> = 21
÷7 ÷7
<em>x</em> = 3
<u>Then, put </u><u><em>x</em></u><u> = 3 in </u><u><em>y</em></u><u> = -4</u><u><em>x</em></u><u> + 5</u>
<em>y</em> = -4(3) + 5
<em>y</em> = -12 + 5
<em>y</em> = -7
Answer:
b or d
Step-by-step explanation:
Answer: 40
Step-by-step explanation:
15 / 37.5 x 100 = 40