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Alexus [3.1K]
3 years ago
15

Mateo built the skateboard ramp below and filled it with pebbles to make it more stable.

Mathematics
2 answers:
sashaice [31]3 years ago
7 0

Answer:

the answer is A and D

Step-by-step explanation:

bagirrra123 [75]3 years ago
5 0

Answer:

The shape can be broken into a rectangular prism and a triangular prism.

The volume of the ramp is 24 feet cubed.

Step-by-step explanation:

The ramp has a rectangular prism and triangular prism. The combined shape makes the ramp.

The volume of a rectangular prism = Bh

where

B = base area

B = length × width

h = height

volume = 1.5 × 4.8 × 2 = 14.4  ft³

The volume of a triangular prism = base area + slant height

volume = 1/2 b × h × l

where

b = base of the triangle

h = height of the triangle

l = slant height of the prism

volume = 1/2 × 2 × 2 × 4.8 = 19.2/2 = 9.6  ft³

The volume of the ramp = 14.4 + 9.6 = 24 ft³

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The answer is c objects
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3 years ago
What are the values of f(x) = 9^x when x= -2? <br><br> a) 1/81<br> b) 81<br> c) 1/18<br> d) 18
Novosadov [1.4K]

Answer:

(a)

Step-by-step explanation:

using the rule of exponents

• a^{-m} ⇔ \frac{1}{a^{m} }, hence

9^{-2} = \frac{1}{9^{2} } = \frac{1}{81} → (a)


4 0
3 years ago
Read 2 more answers
(9x+2)(4x^2+35x-9)=0
pychu [463]
(9x+2)*(4x^2+35x-9)=0

we can make this...

9x+2=0

and

4x^2+35x-9=0

then...

9x+2=0

\boxed{x=-\frac{2}{9}}


4x^2+35x-9=0

x=\frac{-b\pm\sqrt{b^2-4*a*c}}{2*a}

x=\frac{-35\pm\sqrt{35^2-4*4*(-9)}}{2*4}

x=\frac{-35\pm\sqrt{1369}}{8}

x=\frac{-35\pm37}{8}

x_1=\frac{-35+37}{8}=\frac{1}{4}

x_2=\frac{-35-37}{8}=-9

\boxed{\boxed{S=\{\frac{1}{4},-\frac{2}{9},-9\}}}

I'm sure about my answer, don't matter the order...
4 0
3 years ago
Read 2 more answers
Which factor do 64x^2 + 48x + 9 and 64x^2 - 9 have in common?
Ber [7]
Start with the second expression.  That factors easily into (8x-3)(8x+3).
Since 64x^2 + 48x + 9 has no negative signs, I'd bet that the common factor is (8x+3).  Divide  <span>64x^2 + 48x + 9  by that to verify.

</span>
8 0
3 years ago
Directions:Solve this equation
avanturin [10]

Answer:

-3.21538461538

Step-by-step explanation:

\mathrm{Equation\;Given:}\; 5+5x=\frac{12x-\frac{12}{5}\cdot \:7}{5}

\mathrm{Multiply\;both\;sides\;by\;5}:   5\cdot \:5+5x\cdot \:5=\frac{12x-\frac{12}{5}\cdot \:7}{5}\cdot \:5

\mathrm{Now\;we\;have\;}:  25+25x=12x-\frac{84}{5}

\mathrm{Subtract\;by\;sides\;by\;25}:   25+25x-25=12x-\frac{84}{5}-25

\mathrm{Thus\;we\;have}:  25x=12x-\frac{209}{5}

\mathrm{Subtracting\;12x\;from\;both\;sides}:  25x-12x=12x-\frac{209}{5}-12x

\mathrm{So\;then\;we\;have:} 13x=-\frac{209}{5}

\mathrm{Now\;divide\;both\;sides\;by\;13}:  \frac{13x}{13}=\frac{-\frac{209}{5}}{13}

\mathrm{Hence\;we\;have}:\;\;x=-\frac{209}{65}

\mathrm{Decimal\;form}:-3.21538461538

<u><em>Kavinsky</em></u>

7 0
2 years ago
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