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3 years ago

Which line represents the direct variation equation y = 1/2x?

Mathematics

2 answers:

Verdich [7]3 years ago

7 0

Answer:

Step-by-step explanation:

y = 1/ x must pass through the origin because when x = 0, y = 0.

So its either B or C.

A positive slope rises to the right ( 1/2 is positive), so its C.

You can also see that the slope of C is 1/2 because it passes through the points (0.0) and (2, 1).

babunello [35]3 years ago

6 0

Answer:

Line C

Step-by-step explanation:

the slope is 1/2 so change in y/ change in x which means 1 is the y and 2 is the x.

the y-intercept is 0.

So up 1 right 2 starting from the origin (0,0)

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enot [183]

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2 years ago

I need help lol. Find the lateral surface area of the figure to the nearest tenth.

Mekhanik [1.2K]

Answer:

101.9 sq ft

Step-by-step explanation:

The figure is missing: find it in attachment.

Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.

We have in total 5 faces:

- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is

$A_1=8.5 \cdot 3.3 =28.1 ft^2$

- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is

$A_2 = 3.3\cdot 5.1 =16.8 ft^2$

- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is

$A_3 = 6.8\cdot 3.3 =22.4 ft^2$

- Finally, we have 2 triangular faces (top and bottom), so their area is

$A_T=\frac{1}{2}bh$

where

b = 5.1 ft is the base

h = 6.8 ft is the height (because the triangle is a right triangle)

So the area of the triangle is

$A_T=\frac{1}{2}(5.1)(6.8)=17.3 ft^2$

So the total lateral surface area of the figure is:

$A=A_1+A_2+A_3+2A_T=28.1+16.8+22.4+2(17.3)=101.9 ft^2$

5 0

3 years ago

Mark is flying a kite and realizes that 300 feet of string is out. Mark anchored the kite to the ground. The angle of the string

Nadya [2.5K]

Answer:

The kite is 202.7 feet above the ground

Step-by-step explanation:

The scenario is depictedd in the picture attached

we have to find the height.

Trigonometric ratios will be used to find the height.

So,

$sin\ (42.5) = \frac{h}{300}\\ 0.6756=\frac{h}{300}\\0.6756*300=h\\202.68 = h$

The height is 202.68 feet

Rounding off to the nearest tenth

202.7 feet

Therefore, the kite is 202.7 feet above the ground ..

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3 years ago

A family get to Frankie and

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Answer:

the answer is 9:25 ............

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2 years ago

The sum of any two rational numbers is a rational number. True or false

yuradex [85]

The sum of any two rational numbers is a rational number, so it's true.

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3 years ago