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2 years ago

Quadrilateral CDEF is a rhombus. What is ECF?

Mathematics

1 answer:

romanna [79]2 years ago

4 0

Answer:

Step-by-step explanation:

∠ECF=\frac{1}{2}(180-114)=\frac{1}{2}(66)=33°

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What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi

Sphinxa [80]

Answer:

$15,000\:\mathrm{mm^3}$

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by $V=s^2\cdot h$ , where $s$ is the base length and $h$ is the height. Substituting given values, we have: $V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}$

The volume of a trapezoidal prism is given by $V=\frac{b_1+b_2}{2}\cdot l\cdot h$ , where $b_1$ and $b_2$ are bases of the trapezoid, $l$ is the length of the height of the trapezoid and $h$ is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases ( $\frac{b_1+b_2}{2}$ ) multiplied by the trapezoid's height ( $l$ ).

Substituting given values, we get:

$V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}$

Therefore, the total volume of the composite figure is $5,880+9,120=\boxed{15,000\:\mathrm{mm^3}}$ (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

$V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark$

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2 years ago

What is a .5 radius Circle

Liula [17]

The diameter is 10.

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Express the following as a pecentage:16 out of 40

Irina-Kira [14]

the answer is 40 percent

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Korolek [52]

To find the slope in the graph you need to find two perfect points on the line then count how many times you went up which is the y over how many times you go right which is the x its called the rise/run. To find the slope in the equation use the formula y2-y1/x2-x1.

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2 years ago

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Multiply the polynomial 3x2+4x+4)(2x-4)

Lorico [155]

Answer:

$\large \boxed{6x^{3} - 4x^{2} - 8x -16}$