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3 years ago

Please help me I'm stumped on this

Mathematics

1 answer:

Sladkaya [172]3 years ago

8 0

Answer: 1300 cm^3, 850 cm^2

Step-by-step explanation:

With a triangular prism, you need to calculate the surface area of the triangle first and then the length. Here's how to solve for the volume (A):

Triangles is b*h/2, plug in the equation

10*13/2

130/2

Now use the length of the rest of the shape, which is 20 cm.

65*20=1300

the volume is 1300 cm^3.

for B, finding the surface area requires you to analyze each individual part of the shape.

Each part colored in represents a different shape:

Red:

10*20=200

Blue:

13*10/2=65

65*2=130 (Two triangles)

Green:

13*20=260

260*2=520 (Two rectangles)

Add them all up together.

200+130+520= 850 cm^2

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I need to know if it’s A B C OR D

Liula [17]

SOLUTION

Consider the property, opposite angle of a cyclic quadrilateral are supplementary

hence

$\angle NMP+\angle NOP=180^0$

Recall that

$\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}$

Hnece, we have that

$\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}$

Then

$\begin{gathered} 8x-24+4x=180 \\ 8x+4x-24=180 \\ 12x-24=180 \\ \text{Add 24 t o both sides } \\ 12x-24+24=180+24 \\ 12x=204 \\ \text{divide both sides by 12} \\ \frac{12x}{12}=\frac{204}{12} \\ \text{Then} \\ x=17 \end{gathered}$

Hence

x=17

Since

$\begin{gathered} \angle NOP=(4x)^0 \\ \text{substitute the value of x, we have } \\ \angle NOP=4\times17=68^0 \\ \text{Hence } \\ \angle NOP=68^0 \end{gathered}$

Therefore

The measure of angle NOP is 68⁰

Answer; 68⁰ (The fourth Option )

5 0

1 year ago

Joe has 80 stamps. 1/4 of the stamps are state stamps. How many state stamps does he have

Hitman42 [59]

Answer:

80/4

Step-by-step explanation:

You do $\frac{80}{1} =\frac{1}{4}$ which is 80/4

8 0

2 years ago

Determine 2 numbers such that their sum divided by 4 is equal to 14. The greater number increased by 24 equals three times the s

Leona [35]

Answer:

the big number=36 the small number=20

Step-by-step explanation:

14x4=56

56+24=80

80/4=20

80-20=60

60-24=36

20+36=56

56/4=14

3 0

3 years ago

Find the difference: square root of 20 - square root of 80

Mamont248 [21]

Answer:

$-2\sqrt{5}$

Step-by-step explanation:

$\sqrt{20} = \sqrt{10*2} = \sqrt{5 * 2 *2} = \sqrt{2^2 * 5} = 2\sqrt{5} \\\\\sqrt{80} = \sqrt{20*4} = \sqrt{5*4 *4} = \sqrt{4^2 * 5} = 4\sqrt{5} \\\\2\sqrt{5} - 4\sqrt{5} = -2\sqrt{5}$

8 0

3 years ago

Read 2 more answers

What is the value of x in the equation 4x + 8y =40, when y=0.8

Naily [24]

Answer:

x= 8.4

Step-by-step explanation:

y=0.8

4x + 8y =40

4x + ( 8 x 0.8) = 40

4x + (6.4) =40

4x = 40 - 6.4

4x = 33.6

x = 8.4

3 0

3 years ago

Please help me I'm stumped on this​

Please help me I'm stumped on this