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miss Akunina [59]
3 years ago
10

What is the volume of a square base with an edge length of 5 cm. The height of the pyramid is 7 cm.

Mathematics
1 answer:
Murrr4er [49]3 years ago
7 0
<span>Volume = (1/3)</span>a^{2}<span>h where a is the side length
</span>V = 58.33333 cm^{3}
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HALP PLEASE DO 6 AND 7 PLEASEEE
Harman [31]

Answer:

Step-by-step explanation:

6) Convert mixed fraction to improper fraction and then plugin the values in the formula.

l= 3\frac{1}{3} yard=\frac{10}{3}\\\\w = 1\frac{5}{9} yard=\frac{14}{9}\\\\h =2\frac{1}{4} yard=\frac{9}{4}\\\\Volume of wood shed = l * w *h\\\\= \frac{10}{3}*\frac{14}{9}*\frac{9}{4}\\\\= \frac{5}{3}*\frac{7}{1}*\frac{1}{1}\\\\=\frac{5*7}{3}\\\\=\frac{35}{3}\\\\=11\frac{2}{3} cubic yard

b) 10 cubic yard is less than 11 2/3 cubic yard. So, it will fit in the wood shed.

7) Right side rectangular prism:

l = 16 in

w = 5 in

h =  20 - 14 = 6 in

Volume 1 = 16 * 5 * 6 = 480 cubic inches

Left side rectangular prism:

l = 9 in

w = 5 in

h =14 in

Volume 2 = 9 * 5 * 14 = 630 cubic in

Volume of composite solid = 480 + 630 = 1110 cubic inches

7 0
3 years ago
Mike hiked to a lake in 4.5 hours at an average rate of 2
aleksandrvk [35]

Answer:

It took Pedro  <em>3.81 hours</em> to reach the lake.

Step-by-step explanation:

Time taken by Mike to hike a lake = 4.5 hours

Average rate of Mike while hiking the lake = 2\frac{1}{5}\ miles/hr

Formula for distance can be seen as:

Distance = Speed\times Time

Distance traveled by Mike = 4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles

Rate of Pedro while hiking the same distance = 2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr

Given that, Pedro also travels the same distance.

And we have to find the Time.

Time = \dfrac{Distance}{Speed}

Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}

It took Pedro  <em>3.81 hours</em> to reach the lake.

6 0
3 years ago
(3c to the 5th power d 1/2)3
Alik [6]
To simplify the expression it would be \frac{27c15d3}{8}
5 0
3 years ago
Which of the following expressions is equivalent to the expression x - (-3) ?
ziro4ka [17]
D.
X+3
I attached a picture

6 0
3 years ago
A parabola intersects the xxx-axis at x=3x=3x, equals, 3 and x=9x=9x, equals, 9.
vekshin1

Answer:

x^2-12x+27 =0

Step-by-step explanation:

Given a Parabola that intersects the x-axis at x=3 and x=9.

I presume you want to determine the equation of the parabola.

You can use this form:

Given roots of a parabola, the equation of the parabola is derived using the formula:

x^2-($Sum of Roots)x+Product of Roots =0\\Since roots are 3 and 9, the equation becomes:\\x^2-(3+9)x+(3X9) =0\\x^2-12x+27 =0

The equation of the parabola is:

x^2-12x+27 =0

8 0
3 years ago
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