Answer:
The pieces are 55 inches, 55 inches and 46 inches long
Step-by-step explanation:
A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.
Let us first convert the length of the board to inches:
1 ft = 12 inches
13 ft = 12 * 13 = 156 inches
Let the length of each of the other two pieces be x.
Therefore, the length of the third piece is (x - 9)
Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:
x + x + (x - 9) = 156
x + x + x - 9 = 156
=> 3x = 156 + 9
3x = 165
x = 165 / 3 = 55 inches
Each of the first two pieces are 55 inches long.
The length of the third piece will be:
55 - 9 = 46 inches
The pieces are 55 inches, 55 inches and 46 inches long.
Answer:1/5
if u do the work in ur head by adding and divide then multiplying the fractions and then divided it by 2.231 u get 1/5 on a calculator
Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{25 \: units}}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%5Cboxed%7B%20%5Csf%7B25%20%5C%3A%20units%7D%7D%7D%7D%7D)
Step-by-step explanation:
Let M ( 9 , -5 ) be ( x₁ , y₁ ) and N ( - 11 , 10 ) be ( x₂ , y₂ )
<u>Finding</u><u> </u><u>the </u><u>distance </u><u>between</u><u> </u><u>these</u><u> </u><u>points</u>
![\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7Bdistance%20%3D%20%20%5Csqrt%7B%20%7B%28x2%20-%20x1%29%7D%5E%7B2%7D%20%2B%20%20%7B%28y2%20-%20y1%29%7D%5E%7B2%7D%20%20%7D%20%7D%7D)
![\longrightarrow{ \sf{ \sqrt{ {( - 11 - 9)}^{2} + {(10 - ( - 5))}^{2} } }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Csqrt%7B%20%7B%28%20-%2011%20-%209%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%2810%20-%20%28%20-%205%29%29%7D%5E%7B2%7D%20%7D%20%7D%7D)
![\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(10 + 5)}^{2} } }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Csqrt%7B%20%7B%28%20-%2020%29%7D%5E%7B2%7D%20%2B%20%20%7B%2810%20%2B%205%29%7D%5E%7B2%7D%20%20%7D%20%7D%7D)
![\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(15)}^{2} } }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Csqrt%7B%20%7B%28%20-%2020%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%2815%29%7D%5E%7B2%7D%20%7D%20%7D%7D)
![\longrightarrow{ \sf{ \sqrt{400 + 225}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Csqrt%7B400%20%2B%20225%7D%7D%7D%20)
![\longrightarrow{ \sf{ \sqrt{625}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Csqrt%7B625%7D%7D%7D%20)
![\longrightarrow{ \sf{ \sqrt{ {(25)}^{2} } }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Csqrt%7B%20%7B%2825%29%7D%5E%7B2%7D%20%7D%20%7D%7D)
![\longrightarrow{ \sf{25 \: units}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B25%20%5C%3A%20units%7D%7D)
Hope I helped!
Best regards! :D
Answer:
angle 5 and angle 4.
Step-by-step explanation:
complementary angles are the sum of two angles that equal 90 degrees
Answer:
<u>Marcelino will have $7.50: his costs are more than his profits. </u>
Step-by-step explanation:
22.50 + 7.50 + 15.00
In total Marcelino spent $45 to make these balloons.
He wants to sell each balloon for $1.25.
If he sells the 30 balloons he bought for $1.25 he will make:
30 * 1.25 = $37.50... okay he made some money, BUT he spent $45 dollars for the items.
45 - 37.50 = $7.50, Marcelino made no profit... he still needs to make $7.50 to pay off his own costs.