Your answer is L = 11 cm.
If the volumes of both shapes are the same, then we can set them equal to each other and solve for L to find the answer.
The volume of a rectangular prism is base × height × depth, which comes to 5 × 6 × L = 30L
The volume of the trapezoid prism (the shape on the left) would be the area of the trapezoid on the front, multiplied by the depth. This gives you:
× 6 × 10 = 5.5 × 6 × 10 = 330
So now we get:
330 = 30L
÷ 30
L = 11
I hope this helps!
You just lost the tens place on the left and all the ones place that is with the tens place beside it in the leaf section. The answer is attached
Answer:
1
Step-by-step explanation:
Subtract the y values and put them in the numerator (top of fraction). 9-4=5.
Subtract the x values and put them in the denominator (bottom) 5-0=5.
Put the numbers in the fraction and simplify. 5/5 = 1.
The ladder creates a right triangle with the building and the ground. The horizontal leg is 8.2 ft, the hypotenuse is 15.5 ft, and we need to find the vertical leg.
To do this, we use the Pythagorean Theorem:
First, we solve for c without adding numbers:
We square both sides, then subtract b^2 from both sides. Then we square root both sides to find c.
Now we plug in the numbers:
We plug in for a and b, then simplify. C, the distance from the ground to where the ladder rests against the wall, is about 13.2 ft.
