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lys-0071 [83]
3 years ago
15

In 4 hours you hike 10 miles which unit rate describes your speed on the hike 5 miles per hour 2.5 miles per hr 4/10 miles per h

our or 10 miles per hour
Mathematics
1 answer:
Vikentia [17]3 years ago
4 0
2.5 miles per hour because you have to divide to know per hour.
10/4=2.5
Done :)
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Assuming the volume of a trigonal prism, who has a side of 10cm and a length of 20 cm, is 866cm^3, what is its surface area?
Leno4ka [110]

The surface area of the triangular prism is 686.6 cm².

Step-by-step explanation:

Step 1:

The volume of a triangular prism can be determined by multiplying its area of the triangular base with the length of the prism.

The base triangle has a base length of 10 cm and assume it has a height of h m.

The volume of the prism= \frac{1}{2} (b)(h) (length) = \frac{1}{2} (10)(h)(20) = 866.

h = \frac{866(2)}{10(20)} = 8.66.

The height of the triangle is 8.66 cm.

Step 2:

The surface area of the triangle is obtained by adding all the areas of the shapes in the prism. There are 2 triangles and 3 rectangles in a triangular prism.

The triangles have a base length of 10 cm and a height of 8.66 cm. A triangles area is half the product of its base length and height.

The rectangles all have a length of 20 cm and a width of 10 cm. The area of a rectangle is the product of its length and width.

The area of the 2 triangles = 2 [\frac{1}{2} (10)(8.66)] = 86.6.

The area of the 3 rectangle = 3[(20)(10)] = 600.

Step 3:

The surface area of the triangular prism = 86.6 + 600 = 686.6.

The surface area of the prism is 686.6 cm².

6 0
2 years ago
The equation A = p + prt is used to find the accumulated amount, A, of an investment with principal, P, a certain interest rate,
Whitepunk [10]

Answer:

  r equals start fraction cap a minus p over p t end fraction

Step-by-step explanation:

Subtract the term non containing r, then divide by the coefficient of r.

  A=p+prt\\\\A-p=prt\\\\\dfrac{A-p}{pt}=r

4 0
2 years ago
Write 3% two different ways. Explain how you know this.
Marysya12 [62]

Answer:

0.03

3/100

Step-by-step explanation:

because 3 percent of a hundred can be written as a fraction and 3 percent is three one hundreths which can be written as a decimal.

3 0
2 years ago
(a)
mamaluj [8]

Answer:

10=16[ by cost]

Step-by-step explanation: the cost of 10 chairs is x.

the cost 16 chairs is also x. 10x = 16x

4x is loss.

Profit or Gain = Selling price – Cost price. Loss = Cost price – Selling price. Profit Percentage = [Profit/C.P.]×100. Percentage Loss = [Loss/C.P.]×100.

In simple way, we can say that sp- cp[ when it is a gain], cp -sp[ when it is a loss]. here it is a loss as well as a gain. so do both according to the formula

3 0
3 years ago
Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When
Virty [35]

Answer:

Credit remaining after 21 minutes = $30.4

Step-by-step explanation:

Credit remaining on a phone card is a linear function of the total calling time.

When graphed, let the linear function representing the line is,

y = mx + b

Where 'm' = slope of the line

b = y-intercept

From the graph,

Slope of the line = -0.12

y = -0.12x + b

If this line passes through a point (33, 28.96),

28.96 = -0.12(33) + b

b = 28.96 + 3.96

b = 32.92

Therefore, the linear function is,

f(x) = -0.12x + 32.92

where x = calling time

Credit left in the card after 21 minutes,

f(21) = -0.12(21) + 32.92

      = -2.52 + 32.92

      = $30.4

6 0
3 years ago
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