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Leona [35]
3 years ago
11

Which of the following best describes the total area of the exterior surface of a solid figure?

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
7 0
The answer is D, Surface area
aksik [14]3 years ago
6 0

Answer: D.Surface area

Step-by-step explanation:

  • Slant height is the distance along the lateral surface of a sold figure.
  • Base area is the area of the base of the solid figure.
  • Lateral surface area is the area of faces of a solid which does not include the area of the base or bases.
  • The total area of the exterior surface which is know as surface area of a solid figure is the sum of the lateral surface area and the base area of that figure.

i.e. \text{Surface Area=Lateral Area + Base Area}

Therefore, term which best describes the total area of the exterior surface of a solid figure is "Surface area" .

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A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed
irakobra [83]

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

  • B = boat's speed
  • R = river's speed.

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R  = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

If you want to learn more, you can read:

brainly.com/question/12895249

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2 years ago
Michael has finished 25% of an art project that has taken
Nostrana [21]
It will take him 16 hours. Hope it helps
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3 years ago
Solve for x (please help i dont know how to this one ;-;)
Orlov [11]
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8 0
2 years ago
cert 22.2 U To 3. Draw an area diagram to find (0.36) (0.53). Label and organize your work so that it can be followed by others.
Masteriza [31]

The result of the product of (0.36) and (0.53) is 0.1908

<h3>How to determine the product</h3>

The product expression is given as:

(0.36) * (0.53)

Rewrite the product as follows:

(0.36) * (0.53) = (0.3 + 0.06) * (0.5 + 0.03)

Expand the product

(0.36) * (0.53) = 0.3 * (0.5 + 0.03)+ 0.06 * (0.5 + 0.03)

Expand

(0.36) * (0.53) = 0.15 + 0.009+ 0.03+ 0.0018

Evaluate the sum

(0.36) * (0.53) = 0.1908

See attachment for the area diagram of the product

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1 year ago
Find the center and radius of the circle whose equation is x 2 + y 2 + 10x − 1
Margaret [11]

we conclude that the center of the circle is the point (-5, 0).

<h3>How to find the center of the circle equation?</h3>

The equation of a circle with a center (a, b) and a radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we are given the equation:

x^2 + y^2 + 10x - 1 = 0

Completing squares, we get:

x^2 + 10x + y^2 = 1

Now we can add and subtract 25 to get:

x^2 + 10x + 25 - 25 + y^2 = 1\\\\(x + 5)^2 -25 + y^2 = 1\\\\(x + 5)^2 + (y - 0)^2 = 26

Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).

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2 years ago
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