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ANTONII [103]
3 years ago
9

The cross-sectional areas of a right pyramid and a right cylinder are congruent. The pyramid has a height of five units, and a r

ight triangle has a height of three units. Which conclusion could be made from the given information
Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

Answer:

the volume of the right cylinder is 1.8 times the volume of the pyramid

Step-by-step explanation:

The volume of a pyramid is

V = \dfrac{1}{3} \times B\times H

where the height of the pyramid is 5

V = \dfrac{1}{3} \times B\times 5

V = \dfrac{5}{3} B \ units ^3

On the other hand, the volume of a right cylinder is

V = BH

where the height of the right cylinder = 3 units

V = 3 B units³

Since we know that the cross-sectional areas are congruent, comparing the two-volume, we have the ratio of their volumes to be:

\dfrac{V_p}{V_c}= \dfrac{\dfrac{5}{3}B}{3B}

\dfrac{V_p}{V_c}= \dfrac{5}{9}

9 V_p = 5 V_c

V_c = 1.8 \ V_p

Hence, the volume of the right cylinder is 1.8 times the volume of the pyramid

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Bill spent 70 on fertilizer and weed killer for his lawn .Each pound of fertilizer cost 50 cents and each once of weed killer co
meriva

An equation that correctly represent this relationship if x represents the number of pounds of fertilizer and y the number of ounces of weed killer is  0.5x + 3.5y = 70

<u>Solution:</u>

Given that, Bill spent 70 on fertilizer and weed killer for his lawn

Each pound of fertilizer cost 50 cents and each once of weed killer cost 3.50

We have to write an equation, if x represents the number of pounds of fertilizer and y the number of ounces of weed killer.

Now,<em> total amount = amount for fertilizers + amount for weed killers.</em>

Total amount = number of pounds of fertilizers x cost per pound + number of ounces of weed killer x cost per ounce.

\begin{array}{l}{\rightarrow 70=x \times 0.50+y \times 3.50} \\\\ {\rightarrow 0.5 x+3.5 y=70}\end{array}

Hence, the equation is 0.5x + 3.5y = 70

5 0
3 years ago
on a piece of paper, graph y&lt;-3/4x+2. Then determine which answer choice matches the graph you drew.
exis [7]

Answer:

  D.  Graph D

Step-by-step explanation:

The  "y <" tells you two things: (1) shading will be below the line, where y-values are less than those on the line, and (2) the line will be dashed, because the "equal to" case is not included.

Only one graph has a dashed line with shading below: Graph D.

7 0
3 years ago
Whoever gets this correct first gets brainlest !!
scoray [572]

Answer:

41.8

Step-by-step explanation:

The rectangles are similar by a factor of 10, so simply divide the measure by 10 to get the length of the smaller one.

7 0
3 years ago
PLZ HELP...
Valentin [98]
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7 0
2 years ago
Plzzz help plzzzzzzzzzzzzzz
mezya [45]

Given:

The figure of two quadrilaterals.

In ABCD,AB=18,BC=20,CD=22,AD=24

In EFGH,EF=27,FG=30,GH=34, EH=36

To find:

Whether the figures are congruent, similar or neither.

Solution:

Ratio of corresponding sides are:

\dfrac{AB}{EF}=\dfrac{18}{27}

\dfrac{AB}{EF}=\dfrac{2}{3}

Similarly,

\dfrac{BC}{FG}=\dfrac{20}{30}

\dfrac{BC}{FG}=\dfrac{2}{3}

\dfrac{CD}{GH}=\dfrac{22}{34}

\dfrac{CD}{GH}=\dfrac{11}{17}

And,

\dfrac{AD}{EH}=\dfrac{24}{36}

\dfrac{AD}{EH}=\dfrac{2}{3}

Clearly, \dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{AD}{EH}\neq \dfrac{CD}{GH}.

All corresponding sides are not proportional.

Therefore, the figures are neither similar nor congruent. Hence, third option is correct.

7 0
3 years ago
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