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lana66690 [7]
3 years ago
13

4 thank you so much!!!

Mathematics
1 answer:
Margaret [11]3 years ago
7 0

Answer:

(1,-2)

Step-by-step explanation:

all steps shown and pictured

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The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?
Aleksandr [31]

Answer:

The new pyramid has a volume that is half the volume of the original pyramid.

Step-by-step explanation:

The volume of a pyramid is given by the following equation:

V = \frac{h*l*w}{3}

In which h is the height, l is the length and w is the width.

Modified volume:

height doubled, length and width cut in half. So

h = 2h, l = 0.5l, w = 0.5w

V_{M} = \frac{2h*0.5l*0.5l}{3} = \frac{0.5*h*l*w}{3} = 0.5\frac{h*l*w}{3} = 0.5V[/tex]

That is

The new pyramid has a volume that is half the volume of the original pyramid.

6 0
3 years ago
Is 3/8 greater than 1/2
KatRina [158]
No, cause for it to be bigger it'd have to be 5/8, 4/8 would = 1/2 so no, it's not
3 0
3 years ago
Read 2 more answers
The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra
ivanzaharov [21]
The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by \frac{1}{5}
From term 2 to term 3, there's a decrease also by \frac{1}{5}

The rule to find the n^{th} term in a sequence is 
n^{th}=a r^{n-1}, where a is the first term in the sequence and r is the ratio

So, the formula for the sequence in question is
n_{th} term = 1000( \frac{1}{5} ^{n-1} )

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
S_{∞} = \frac{a}{1-r} for -1<r<1 
Substituting a=1000 and r= \frac{1}{5} we have 
S_{∞} = \frac{1000}{1- \frac{1}{5} } = 1250

Hence, the correct option is option number 1

6 0
3 years ago
A highway engineer specifies that a certain section of roadway covering a horizontal distance of 2km should have a downgrade of
Zigmanuir [339]

Answer:

0.16km

Step-by-step explanation:

A highway engineer wants to compute  the change in elevation of a section of road. The horizontal distance of this section of road is 2km and downgrade is 8%

The slope formula is given by

m=\frac{rise}{run}=\frac{x}{y}

m = 8% = 8/100

run = y = 2km

m =\frac{x}{y}

\frac{8}{100} =\frac{x}{2}

\frac{2*8}{100} =x

x=\frac{16}{100} =0.16km

Verification:

m=\frac{0.16}{2}= 0.08=8%%

3 0
3 years ago
Read 2 more answers
At the beach this weekend, the ratio of sandcastles to kites was 3 to 5. If there were 15 kites spotted, how many items were see
Gelneren [198K]

Answer: 24

Step-by-step explanation:

The ratio of sandcastles to kites was 3 to 5 so if 15 kites were spotted that meant that the 5 was multiplied by 3 so then we multiply the 3 by 3. Now there are 9 sandcastles and 15 kites so now we add 9 to 15 to figure out how many items were seen in all. Nine added to 15 equals 24 which means that 24 items were seen in total.

6 0
3 years ago
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