Answer:
1. B>-7 2. M is > or = to 8.8 3. Y < 1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello There!
For this problem we want to split the irregular 3d figure into two regular 3d figures
Two rectangular prisms with the following dimensions
rectangular prism 1
length - 5 feet
width - 12 feet
height - 5 feet
rectangular prism 2
length - 5 feet
width - 5 feet
height - 10 feet (was found by subtract height of rectangular prism 1 (5 feet) from the total height of the irregular figure (15-5=10 so the height of rectangular prism 2 is 10 feet)
Now to find the volume of each individual prism...
So remember the formula for volume of a rectangular prism is
volume = length x width x height
so having the dimensions of each rectangular prism we plug in each value to the formula ( remember we're doing this for each individual rectangular prism)
For rectangular prism 1
V = 12 x 5 x 5
12x5x5=300 so the volume of rectangular prism is 300 cubic feet
For rectangular prism 2
V = 10 x 5 x 5
10x5x5=250 so the volume of rectangular prism is 250 cubic feet
our final step is to add the two volumes together
250 + 300 = 550
so we can conclude that the volume of the rooftop is 550
Answer:
577
Step-by-step explanation:
Angle values in fraction form
- A = 220/3
- B = 100/3
- C = 200/3
Angle values in decimal form
- A = 73.333
- B = 33.333
- C = 73.333
For each decimal value, the '3's go on forever.
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Work Shown:
Check out the diagram below. Since AD bisects angle BAC, this means the two smaller pieces (angle DAB and angle DAC) are equal to one another. Let's call those smaller pieces x for now. They combine to 2x which is the measure of angle BAC.
Angle BCA is 2x since this is the other base angle, and the two base angles are congruent.
Let y be the measure of angle ADC. It's supplementary to the 110 degree angle.
y+110 = 180
y = 180-110
y = 70
Now focus on triangle ACD. All three angles of a triangle add to 180
A+D+C = 180
x+y+2x = 180
3x+y = 180
3x+70 = 180
3x = 180-70
3x = 110
x = 110/3
This means each base angle is
2x = 2*(110/3) = 220/3
So we know that A = 220/3 and C = 220/3 are the two base angles of triangle ABC.
The last step is to find the vertex angle B
A+B+C = 180
220/3 + B + 220/3 = 180
B+440/3 = 180
B = 180 - 440/3
B = 180*(3/3) - 440/3
B = 540/3 - 440/3
B = 100/3
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So in summary we have
- A = 220/3
- B = 100/3
- C = 220/3
as the three angles for triangle ABC. Those are the exact fractional values.
The approximate decimal values are
- A = 73.333
- B = 33.333
- C = 73.333
Answer:
individual is the correct answer
Step-by-step explanation: