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Kisachek [45]
3 years ago
7

Jada is using 84 one-centimeter cubes to build a rectangular prism. She wants the height of the rectangular prism to be 4 centim

eters. She also wants the width to be shorter than the length. How many rectangular prisms with different dimensions could Jada build
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

One rectangular prism is possible with 7cm × 3cm × 4cm.

Step-by-step explanation:

Jada used number of cubes = 84

Side of one small cube = 1 cm

Volume of one small cube = 1 cm³

Volume of 84 small cubes = 84 cm³

She wants to build a rectangular prism with height = 4 cm

Let the length of the prism = x cm

and the width of the prism = y cm

and x > y

Volume of the prism = length × width × height

                                  = (x)(y)(4)

                                  = 4xy cm³

If the volume of prism = volume of 84 small cubes

Then 4xy = 84

xy = 21

Possible values of x = 3, 7

and y = 7, 3

But x > y

So x = 7 and y = 3 will be the answer.

Therefore, only one rectangular prism is possible with dimensions

length = 7 cm, width = 3 cm, height = 4 cm.

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beks73 [17]

Answer:

Null Hypothesis, H_0 : \mu = 200 clicks a day

Alternate Hypothesis, H_A : \mu\neq 200 clicks a day

Step-by-step explanation:

We are given that a website developer wished to analyze the clicks per day on their newly updated website.

The website developer wants to know if the number of clicks per day is different than 200 clicks a day, on average.

Let \mu = <u><em>mean number of clicks per day.</em></u>

So, Null Hypothesis, H_0 : \mu = 200 clicks a day

Alternate Hypothesis, H_A : \mu\neq 200 clicks a day

Here, the null hypothesis states that the mean number of clicks per day is 200 clicks a day.

On the other hand, the alternate hypothesis states that the mean number of clicks per day is different than 200 clicks a day.

Hence, this is the correct null and alternative hypotheses.

4 0
3 years ago
Read 2 more answers
ABCD- parallelogram, If the perimeter of Triangle CPQ is 15cm, Find the perimeter of triangle BAQ. Find the perimeter of triangl
melamori03 [73]

Answer:

The answer is below

Step-by-step explanation:

A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.

Given parallelogram ABCD:

AB = CD = 18 cm; BC = AD = 8 cm

∠P = ∠P, ∠PDA = ∠PCQ (corresponding angles are equal).

Hence ΔPCQ and ΔPDA are similar by angle-angle similarity theorem. For similar triangles, the ratio of their corresponding sides equal. Therefore:

\frac{CD}{PC}= \frac{AD}{CQ}\\\\\frac{18}{6}=\frac{8}{x}  \\\\x=\frac{6*8}{18}=\frac{8}{3}\ cm

Perimeter of CPQ = CP + CQ + PQ

15 = 6 + 8/3 + PQ

PQ = 15 - (6 + 8/3)

PQ = 6.33

∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).

Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem

\frac{AQ}{QP}=\frac{AB}{CP}  \\\\\frac{AQ}{6.33} =\frac{18}{6} \\\\AQ=\frac{18}{6}*6.33\\\\AQ = 19

\frac{BQ}{CQ}=\frac{AB}{CP}  \\\\\frac{BQ}{8/3} =\frac{18}{6} \\\\BQ=\frac{18}{6}*\frac{8}{3} \\\\BQ =8

Perimeter of BAQ = AB + BQ + AQ = 18 + 8 + 19 = 45cm

PA = AQ + PQ = 19 + 6.33 = 25.33

PD = CD + DP = 18 + 6 = 24

Perimeter of PDA = PA + PD + AD = 24 + 25.33 + 8 = 57.33 cm

7 0
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PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
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Answer:

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Step-by-step explanation:

3 0
2 years ago
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guapka [62]

Answer:

6 miles

Step-by-step explanation:

The distance formula is expressed as;

D = √(x2-x1)²+(y2-y1)²

D = √(2-4)²+(8-2)²

D = √(-2)²+(6)²

D = √4 + 36

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Hence the approximate distance between the library  and the mall is 6 miles

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Mashcka [7]

Answer:

90

Step-by-step explanation:

Its 630/7

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