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maxonik [38]
2 years ago
6

Which expression is equivalent ​

Mathematics
1 answer:
babunello [35]2 years ago
6 0

Answer:i think its the second choice sorry if im wrong

Step-by-step explanation:

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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

8 0
2 years ago
A pentagon with one interior angle that measures 200 degrees is a ___________ polygon.
Vikentia [17]
A.concave. Any shape with an angle more than 180 is called concave.

4 0
3 years ago
Read 2 more answers
Find real or imaginary solutions of x^4-10x^2=-9
malfutka [58]
This resembles a quadratic and we can factor it using that pattern.

(x^2)^2-(10x^2)+9=0

(x^2-9)(x^2-1)

(x+3)(x-3)(x+1)(x-1)=0
6 0
3 years ago
Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x<br><br> h(g(f(x)))
alexgriva [62]
Hello here is a solution :
<span>h(g(f(x))) ?

</span>g(f(x))= g(2x+5)=(2x+5)²=(2x)²+2(2x)(5)+5² = 4x²+20x+25
h(g(f(x)))(x) = h(4x²+20x+25) = -2(4x²+20x+25) 
h(g(f(x)))(x) = -8x²-40x-50
8 0
3 years ago
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What is 5x + 8y =16 in slope intercept form
zepelin [54]

ABOUT SLOPE INTERCEPT FORM:

  • y = mx + b
  • m represents the slope
  • b represents the y-intercept

You have to get y by itself:

5x + 8y = 16

-5x          -5x

<u>8y = -5x + 15</u>

8             8

y = -5/8x + 15/8

OR

I you wants to simplify 15/8, it's this:

y = -5/8x +1.875

HI!!! Really really sorry if I'm incorrect...



7 0
3 years ago
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