Answer:
150 units
Step-by-step explanation:
2(2x)+2(x+12)=4x+2x+(x+3)
4x+2x+24=4x+2x+x+3
24-3=4x+2x+x-4x-2x
21=x
2(21)+(21)+12+2(21)+(21)+12
42+21+12+42+21+12
150
Answer:
The answer is 71.4
Step-by-step explanation:
357 / 5 = 71.4
We need 30 glass spheres whose TOTAL volume = 3,392.92 cubic inches.
Therefore each of the 30 spheres must have a volume of 3,392.92 / 30 =
<span>
<span>
<span>
113.0973333333
</span>
</span>
</span>
cubic inches
Sphere Volume = <span> 4/3 • <span>π <span>• r³
radius^3 = </span></span></span>Sphere Volume / <span>(4/3 • <span>π)
</span></span>radius^3 = 113.0973333333 /
<span>
<span>
<span>
4.1887902048
</span>
</span>
</span>
radius^3 =
<span>
<span>
<span>
26.9999994758
</span>
</span>
</span>
radius = 3 inches
diameter = 6 inches
Answer:
Step-by-step explanation:
Here, we want to get the value of angle DEF
we have this as ;
Angle DEF = 1/2 * DOF
1/2 * 150 = 75
This is because angle at the center is twice the angle at the circumference
Answer:
1. Use the Adjacent and opposite side (Ignore the Hypotenuse)
Or use HERO'S FORMULA based on the information given
2. Area = 216cm^2
Step-by-step explanation:
There are three to four ways we can go about finding the area of a triangle. And a these would be dependent on the information given about the triangle.
From the question, you said the three side lengths are given. In such case, we employ the HERO FORMULA.
HERO FORMULA:
Area = √ s(s-a)(s-b)(s-c)
where s = 1/2(a + b + c)
a, b, c are the three sides
But since the question insisted that we use 1/2* base * height. Let's use our know of right angle to dissolve that.
A right angle triangle has three sides. The longest is always the Hypotenuse.
Let's take it this way.
Hypotenuse = 30cm
Opposite= 18cm
Adjacent = 24cm
Area = 1/2 * base * height
Area = 1/2 * 18 * 24
Area = 1/2 * 432
Area = 216cm^2
We ignored the longest side, (the Hypotenuse)
