Answer:
C) 41 square units
Step-by-step explanation:
I am unable to provide my work at the moment. I hope the answer is enough for you. D:
Answer:
512ft³
Step-by-step explanation:
A rectangular prism is made up of 32 cubes, each measuring 1 /4 of a foot per side. What is the volume of the rectangular prism?
Since we have 32 cubes with each side = 1/4 foot
= 32 × 1/4 foot
= 8
Hence, the volume of the rectangular prism = 8 × 8 × 8
= 512ft³
Answer:
The value x in the equation 50=14+x+7+2x-1 is 10
Step-by-step explanation:
Given that the length of one side of a triangle is 14 inches
Let a be the length of one side
Therefore a=14 inches
The length of second side in x+7 inches
Let b be the length of second side
b=x+7 inches.
The length of third side is 2x-1 inches
Let c be the length of third side
c=2x-1 inches
And perimeter of the triangle =50 inches
Perimeter of a triangle =a+b+c
Equation can be written as
50=14+x+7+2x-1
50=20+3x ( adding the like terms )
Rewritting as below
3x+20=50
3x+20-50=50-50
3x-30=0
3x-30+30=0+30
3x=30
![x=\frac{30}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B30%7D%7B3%7D)
Therefore x=10
The value of x is 10
As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.
The distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.
<h3>What is right angle triangle?</h3>
A right angle triangle is a triangle in which, one of the angle measures equals to the 9 degrees.
Given information
The angle of depression from top of the slide to the pool is 31. 66°.
The height of the slide is 46 feet.
Image is attached below for the given problem.
As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.
Thus,
![\sin(31.6^o)=\dfrac{x}{46} \\x=46\times \sin (31.6^o)\\x=46\times 0.5249\\x=24.145](https://tex.z-dn.net/?f=%5Csin%2831.6%5Eo%29%3D%5Cdfrac%7Bx%7D%7B46%7D%20%5C%5Cx%3D46%5Ctimes%20%5Csin%20%2831.6%5Eo%29%5C%5Cx%3D46%5Ctimes%200.5249%5C%5Cx%3D24.145)
Hence the distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.
Learn more about the right angle triangle here;
brainly.com/question/2028228