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soldi70 [24.7K]
3 years ago
14

What is the area of the figure?

Mathematics
2 answers:
Andreyy893 years ago
7 0
850.12385966 cm^3 maybe need to round
wel3 years ago
6 0

Answer: 448

Step-by-step explanation:

You might be interested in
Nathaniel participated in an 18-mile race. He ran 1 2 mile in 1 6 hour. If he ran the entire race at the same pace, how long, in
Softa [21]

Answer:

24 hours

Step-by-step explanation:

set up a ratio:

12 miles = 16 hours

-------------    ------------

18 miles =   x hours

cross multiply

12m * x = 16h * 18 m

solve for x

x=16h * 18m / 12m = 24 hours

3 0
3 years ago
Solve for x. <br> 2(x-2)= 6x + 2 -2(-2x - 4)
Lena [83]

Answer:-7/4

Step-by-step explanation:

2(x-2)=6x+2-2(-2x-4)

Open brackets

2x-4=6x+2+4x+8

Collect like terms

-4-2-8=6x+4x-2x

-14=8x

Divide both sides by 8

-14/8=8x/8

-7/4=x

x=-7/4

4 0
3 years ago
Find a ⋅ b. a = &lt;5, 2&gt;, b = &lt;4, 5&gt;
cestrela7 [59]

Answer:

  30

Step-by-step explanation:

For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...

  a·b = (xa)(xb) + (ya)(yb)

Substituting the given information, you have ...

  a·b = 5·4 + 2·5 = 20 + 10

  a·b = 30

_____

Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.

6 0
3 years ago
A young sumo wrestler decided to go on a diet to gain weight rapidly. He gained weight at a rate of 5.5kg a month. After 11 mont
kondaur [170]

Answer:

W(t)=5.5t+79.5.

Step-by-step explanation:

Please consider the complete question.

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.5 kilograms per month. After 11 months, he weighed 140 kilograms. Let W(t) denote the sumo wrestler's weight W(measured in kilograms) as a function of time t (measured in months).  

Since wrestler gained weight at a rate of 5.5 kilograms per month, so slope of line be 5.5.

Now, we will use point-slope form of equation as:

y-y_1=m(x-x_1), where,

m = Slope

(x_1,y_1) = Given point on the line.

Upon substituting coordinates of point (11,140) in above formula, we will get:

y-140=5.5(x-11)

y-140=5.5x-60.5

y-140+140=5.5x-60.5+140

y=5.5x+79.5

Therefore, our required function would be W(t)=5.5t+79.5.

3 0
3 years ago
A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?
Pie

Answer:

(D) is the right answer

Step-by-step explanation:

The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.

A triangular pyramid has four faces.  So, to form four straight lines and therefore a quadrilateral, the intersecting plane must intersect all four faces.

A. In this case the plane will only intersect one side of the pyramid so four sided polygon can't be formed.

B. It will only intersect the two sides of the pyramid but the cross section will not be a quadrilateral.

C. In this case the plane will intersect three sides of the pyramid so the cross section will be a triangle not a quadrilateral.

D. In this case the plane intersects all the four faces forming a closed polygon of 4 straight lines so the cross section will be a quadrilateral.

So, the Correct Option is (D) : When the plane intersects the base and all three lateral faces of the pyramid, the cross section of the triangular pyramid will be a quadrilateral.


8 0
3 years ago
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