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Sati [7]
3 years ago
15

Convert the units of weight.

Mathematics
1 answer:
Neko [114]3 years ago
6 0
The answer is B: 32.75
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The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
iogann1982 [59]

Answer:

Step 2: 4(2) + 4(3x)

Step-by-step explanation:

By definition, the area of a rectangle is given by:

Area = Length × Width

In this case, we know that:

Area = 8 + 12x

Width = 4

Therefore:

Step 1: 8 + 12x

Step 2: 4(2) + (4)(3x)

Step 3: 4(2 + 3x)

Therefore, the dimensions of the rectangle are 4 and 2 + 3x.

The mistake was made in STEP 2. Instead of 4(2) + 4(x2) it should be  4(2) + 4(3x). Which is the second option.

5 0
3 years ago
The main cables of a suspension bridge are ideally parabolic. the cables over a bridge that is 400 feet logn are attached to tow
Novay_Z [31]
Consider the diagram of the problem.

Let the vertex be on the y axis, exactly, at the point (0, 40)

Another point of this parabola is (200, 100), as can be checked from the figure.

The vertex form of the equation of a parabola is :

y=a(x-h)^{2}+k, where (h, k) is the vertex of the parabola, 

replacing (h, k) with (0, 40), we have:

y=ax^{2}+40

to find a, we substitute (x, y) with (200, 100):

100=a200^{2}+40

40,000a=60

a=60/40,000=3/(2,000)

So, the equation of the parabola is y= \frac{3}{2000} x^{2}+40

4 0
3 years ago
How can you use a right angle to decide how to name another angle
blondinia [14]
You can see if the other angles add up to 180 or 360 degrees (depending on shape) then add them to make it the number, for example, if a triangle has a right angle, then the other 2 angles are 45 degrees, knowing that EVERY triangle's angles add up to 180 degrees.
5 0
3 years ago
Marie has renters insurance that she must pay twice a year. If each payment is $96, how much money should she set aside each mon
Vlad [161]

Answer:

The answer is <u>B.) $16</u>

Step-by-step explanation:

Multiply 16$ by 6 which resembles half a year. You will get $96 from 16*6

4 0
2 years ago
Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of pape
Mashutka [201]

Answer:

Option C. is the correct option.

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of paper for each hat.

Cone with diameter six inches and slant height eight inches.

What is the correct amount of paper Aubrey will need per hat? Explain Aubrey’s mistake. Use 3.14 for π and round to the nearest inch.

A.  About 70 in2; Aubrey found the surface area of the cone, but did not include the base.

B.  About 70 in2; Aubrey used the diameter instead of the radius to find the surface area of a cone.

C.  About 75 in2; Aubrey found the surface area of the cone and included the base.

D.  About 75 in2; Aubrey found the volume of the cone instead of the surface area.

Lateral surface area of a cone = Paper required to for each hat

Lateral surface area = πrl

Here r = radius of the cone

l = lateral height of the cone

Lateral surface area = π(3)(8)

                                 = 75.36 square inches

                                 ≈ 75 square inches

Therefore, total paper required for each cap is about 75 square inches.

Total surface area of the cone (Lateral area + Area of the base)

= πr(r + l)

= 3.14(3)(3 + 8)

= 103.62

≈ 104 square inches.

Aubrey did a mistake by finding the total surface area (including base area) of the cone instead of lateral surface area.

Therefore, option C. is the correct option.

7 0
3 years ago
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