The volume of the composite solid shown in the diagram is: 80 ft.³.
<h3>What is the Volume of Composite Solid?</h3>
Volume of the composite solid = volume of triangular prism + volume of triangular pyramid.
Volume = 0.5 × base of triangle × height of triangle × length of prism + 1/3 × Base area × Height = 0.5 × 8 × 5 × 3 + 1/3 × 0.5 × 8 × 5 × 3
Volume = 60 + 20
Volume of the composite solid = 80 ft.³.
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We assume that jamie is a boy or whatever
his sibbling is sibbling x
together, ages are 35
either jamie is 4 times sibbling x or sibbling x is 4 times jamie
anyway
lets say jamie=y and sibbling x=x
if we solve for jamie is 4 times as old as x then we can switch them if we are wrong
jamie is 4 times sibbling x age
x=4y
together it is 35
x+y=35
sub 4y for x
4y+y=35
5y=35
divide both sides by 5
y=7
sub back
x=4y
x=4(7)
x=28
either it is
jamie is 28 and sibbling is 7 or
sibbling is 28 and jamie is 7
depends but you didn't say who is older and who is 4 times of who
Answer:
Dilation(Reduction)
Step-by-step explanation:
Answer:
![\large\boxed{\dfrac{6}{5x^{10}}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B6%7D%7B5x%5E%7B10%7D%7D%7D)
Step-by-step explanation:
![\sqrt{\dfrac{72x^{16}}{50x^{36}}}\qquad\text{simplify}\\\\=\sqrt{\dfrac{36x^{16}}{25x{^{20+16}}}}\qquad\text{use}\ (a^n)(a^m)=a^{n+m}\\\\=\sqrt{\dfrac{36x^{16}}{25x^{20}x^{16}}}\qquad\text{cancel}\ x^{16}\\\\=\sqrt{\dfrac{36}{25x^{20}}}\qquad\text{use}\ \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}}\ \text{and}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\dfrac{\sqrt{36}}{\sqrt{25}\cdot\sqrt{x^{10\cdot2}}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\dfrac{6}{5\sqrt{(x^{10})^2}}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=\dfrac{6}{5x^{10}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cdfrac%7B72x%5E%7B16%7D%7D%7B50x%5E%7B36%7D%7D%7D%5Cqquad%5Ctext%7Bsimplify%7D%5C%5C%5C%5C%3D%5Csqrt%7B%5Cdfrac%7B36x%5E%7B16%7D%7D%7B25x%7B%5E%7B20%2B16%7D%7D%7D%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%28a%5En%29%28a%5Em%29%3Da%5E%7Bn%2Bm%7D%5C%5C%5C%5C%3D%5Csqrt%7B%5Cdfrac%7B36x%5E%7B16%7D%7D%7B25x%5E%7B20%7Dx%5E%7B16%7D%7D%7D%5Cqquad%5Ctext%7Bcancel%7D%5C%20x%5E%7B16%7D%5C%5C%5C%5C%3D%5Csqrt%7B%5Cdfrac%7B36%7D%7B25x%5E%7B20%7D%7D%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Csqrt%7B%5Cdfrac%7Ba%7D%7Bb%7D%7D%3D%5Cdfrac%7B%5Csqrt%7Ba%7D%7D%7B%5Csqrt%7Bb%7D%7D%5C%20%5Ctext%7Band%7D%5C%20%5Csqrt%7Bab%7D%3D%5Csqrt%7Ba%7D%5Ccdot%5Csqrt%7Bb%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5Csqrt%7B36%7D%7D%7B%5Csqrt%7B25%7D%5Ccdot%5Csqrt%7Bx%5E%7B10%5Ccdot2%7D%7D%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%5C%5C%5C%3D%5Cdfrac%7B6%7D%7B5%5Csqrt%7B%28x%5E%7B10%7D%29%5E2%7D%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Csqrt%7Ba%5E2%7D%3Da%5C%20%5Ctext%7Bfor%7D%5C%20a%5Cgeq0%5C%5C%5C%5C%3D%5Cdfrac%7B6%7D%7B5x%5E%7B10%7D%7D)
Answer: (see explanation)
Step-by-step explanation:
terms: 7, 2x, x4
leading coefficient: 7
constant term: 7
I'm sorry I'm unsure how to solve the last question.