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Marina86 [1]
4 years ago
9

Which could be the area of the base of a triangular prism?

Mathematics
1 answer:
11Alexandr11 [23.1K]4 years ago
5 0

Option A:

The area of the base of the triangular prism is 6 ft².

Solution:

The base of the triangular prism is triangle.

Base of the triangle is 4 ft.

Height of the triangle is 3 ft.

Area of the base of the prism = Area of the triangle

                                                 = \frac{1}{2} bh

                                                 $=\frac{1}{2}\times 4 \times 3

Area of the base of the prism = 6 ft²

The area of the base of the triangular prism is 6 ft².

Hence option A is the correct answer.

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Someone solve this please like NOW 4(5x-7)+12=16x+24
Bingel [31]

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20x-16=16x+24 (added -28 & 12)

4x=40 (Subtracted 16x from both sides and added 16 to both sides)

(divide by 4 on both sides)

x=10

7 0
4 years ago
Pooja's plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died. At its tallest, the plant
r-ruslan [8.4K]

Solution:

Total number of Days that Pooja's plant survived= 2 + 98 = 100 Days=(t)

Longest Height obtained by plant = 30 cm= h

As the two , i.e number of Days lived by plant and it's longest height obtained are directly proportional.

We will solve it by unitary method.

100 Days = 30 cm

1 cm =  Days

If height of the plant is h cm ,and  amount of time taken is t days, then

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7 0
3 years ago
Read 2 more answers
The heights (in cm) and arm spans (in cm) of 31 students were measured. The association between x(height) and y(arm span) is sho
abruzzese [7]

Answer:

27.385 cm longer would we expect Mike's arm span to be than George's.

Step-by-step explanation:

We have to find how many centimeters longer would we expect Mike's arm span to be than George's using the equation:

y= 4.5x + 0.977 x

where y= arm span

and x= height

Given:

Mike's height=x = 175 cm

so Mike's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (175) + 0.977* (175)

                                    = 787.5 + 170.975

                                    = 958.475 cm

George's height = x = 170 cm

so George's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (170) + 0.977* (170)

                                    = 765 + 166.09

                                    = 931.09 cm

Mike's arm span longer than George's = Mike's arm span - George's arm span

                                                                 = 958.475 - 931.09

                                                                 = 27.385 cm.

8 0
3 years ago
Help with 21 would be much appreciated.
umka2103 [35]

Answer:

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Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

\dfrac{AD}{CD}=\dfrac{CD}{DB}

We have

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Substitute:

\dfrac{6}{y}=\dfrac{y}{8}         <em>cross multiply</em>

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y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}

For x use the Pythagorean theorem:

x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}

3 0
3 years ago
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mel-nik [20]
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