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alexandr1967 [171]
3 years ago
15

What is the surface area of this triangular prism rounded to the nearest tenth?

Mathematics
2 answers:
Paladinen [302]3 years ago
7 0

Answer:

B. 145.3 ft2

Step-by-step explanations:

finlep [7]3 years ago
5 0

Answer:

The surface area of the triangular prism is 145.3  ft^2

Step-by-step explanation:

Step 1:  Finding the two area of two triangles

Area of the triangle  =  \frac{1}{2} (base \times height})

Area of the triangle  = \frac{1}{2} (9.8\times  5.33})

Area of the triangle  = 26.117

Area of 2 triangles  =  52.234

Step 2: Finding the area of the side rectangles

Area of the rectangle  = length  \times breadth

Area of the rectangle  1 = 6.2 \times 3.8  = 23.56 ft^2

Area of the rectangle  2  = 8.5 \times 3.8 = 32.3 ft^2

Area of the rectangle  3  = 9.8 \times 3.8 = 37.24 ft^2

Step 3: surface area of the triangular prism.

Surface area of the triangular prism =  52.234 + 23.56 + 32.3 + 37.24

Surface area of the triangular prism = 145.334 ft^2

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Answer:

The balloon will not reach 2,500 feet after 4 minutes.

Step-by-step explanation:

The equation of the line in the point-slope form is

y-y_1=m(x-x_1)

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is

m=120

After x_1=1.5 minutes, the balloon is at an altitude of y_1=2,150 feet. This means, the line passes through the point (1.5, 2,150).

Substitute the slope and point coordinates into the equation:

y-2,150=120(x-1.5)

We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:

2,330-2,150=180\\ \\120(3-1.5)=120\cdot 1.5=180\\ \\2,330-2,150=120(3-1.5)

Now, find the height after 4 minutes:

y-2,150=120(4-1.5)\\ \\y=120\cdot 2.5+2,150=300+2,150=2,450

Thus, the balloon will reach only 2,450 feet after 4 minutes.

4 0
3 years ago
NEED ANSWERS!!!!!!!!!!
ch4aika [34]

Answer:

<em>(1,0) and (3,0)</em>

Step-by-step explanation:

The roots are always shown where the parabola crosses the x-axis.

In this particular graph, the parabola crosses at (1, 0) and (3, 0). Which means the roots are:

<em>x = 1 and x = 3</em>

6 0
3 years ago
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project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability dis
Mashutka [201]
The set given by the project grade is {1, 2, 3, 4, 5}. If the random variable, X, is the project grade, the mean of the probability distribution is determined by:

Sum = 1 + 2 + 3 + 4 +5 
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3 years ago
At the market, Ms. Winn bought 3/4 lb of grapes and 5/8 lb of cherries.
wolverine [178]

Answer:

Part a) Ms. Winn bought 12 oz of grapes

Part b) Ms. Winn bought 10 oz of cherries

Part c) Ms. Winn bought 2 oz more of grapes than cherries

Part d) Mr. Phillips bought 6 more ounces of fruit than Ms. Winn

Step-by-step explanation:

Part a) How many ounces of grapes did Ms. Winn buy?

Remember that

1\ lb=16\ oz

To convert lb to oz multiply by 16

we know that

Ms. Winn bought 3/4 lb of grapes

Convert lb to oz

Multiply by 16

\frac{3}{4}\ lb= \frac{3}{4}(16)=12\ oz

therefore

Ms. Winn bought 12 oz of grapes

Part b) How many ounces of cherries did Ms. Winn buy?

Remember that

1\ lb=16\ oz

To convert lb to oz multiply by 16

we know that

Ms. Winn bought 5/8 lb of cherries

Convert lb to oz

Multiply by 16

\frac{5}{8}\ lb= \frac{5}{8}(16)=10\ oz

therefore

Ms. Winn bought 10 oz of cherries

Part c) How many more ounces of grapes than cherries did Ms. Winn buy?

Subtract the ounces of cherries from the ounces of grapes

so

12\ oz-10\ oz=2\ oz

therefore

Ms. Winn bought 2 oz more of grapes than cherries

Part d) If Mr. Phillips bought 1 3/4 pounds of raspberries, who bought more fruit, Ms. Winn or Mr. Phillips? How many ounces more?

Remember that

1\ lb=16\ oz

To convert lb to oz multiply by 16

we know that

Mr. Phillips bought 1 3/4 pounds of raspberries

Convert mixed number to an improper fraction

1\frac{3}{4}\ lb=\frac{1*4+3}{4}=\frac{7}{4}\ lb

Convert lb to oz

Multiply by 16

\frac{7}{4}\ lb= \frac{7}{4}(16)=28\ oz

Remember that

Ms. Winn bought 12 oz of grapes and 10 oz of cherries

In total Ms. Winn bought

12 oz+10 oz=22 oz -----> total ounces of fruit

so

Mr. Phillips bought 28 oz of fruit

Ms. Winn bought 22 oz of fruit

28\ oz > 22\ oz

Find the difference

(28\ oz-22\ oz)=6\ oz

therefore

Mr. Phillips bought 6 more ounces of fruit than Ms. Winn

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umka21 [38]

Answer:

The number 4 is the first term of the sequence

Step-by-step explanation:

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Is also know as 1 less

In this problem the sequence of counting backwards from 5 is equal to

4,3,2,1,0

therefore

The number 4 is the first term of the sequence

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