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hoa [83]
3 years ago
9

The height of a triangle is six times the base write an expression for the area of the triangle and let x be the base

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
4 0

Answer:

<h2>A = 3x²</h2>

Step-by-step explanation:

The formula fo an area of a triangle:

A=\dfrac{bh}{2}

b - base

h - height

We have

x - base

6x - height

Substitute:

A=\dfrac{(x)(6x)}{2}=\dfrac{6x^2}{2}=3x^2

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.3 is greater than .03
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What is the measure of the angle x?
NISA [10]

Answer:

40

Step-by-step explanation:

angle AOB= 2x=80

x=80/2

x=40

5 0
2 years ago
What are the surface area and volume ratios of a cylinder change if the radius and height are multiplied by 5/4 ?
victus00 [196]

Answer:

The ratio of the surface areas and volume is 8((5y+5x) /25xy)

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes.

Let us assume that the radius =x

Radius r=5x/4

And the height =y

Height h= 5y/4

We know that the total surface area of a cylinder is

A total = 2πrh+2πr²

We can factor out 2πr

A total = 2πr(h+r)

The volume of a cylinder is given as

v= πr²h

The surface area and volume ratios

Can be expressed as

2πr(h+r)/πr²h= 2(h+r)/rh

= (2h+2r)/rh= 2h/rh + 2r/rh

= 2/r + 2/h

= 2(1/r + 1/h)

Substituting our value of x and y

For radius and height we have

= 2(1/5x/4 + 1/5y/4)

=2(4/5x + 4/5y)

=2*4(1/5x + 1/5y)

= 8 (5y+5x/25xy)

6 0
3 years ago
Read 2 more answers
The total cost, y, for Leah and x friends to go to an amusement park can be modeled by a
Katarina [22]

Answer:

Range of the function is:

{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}

Step-by-step explanation:

Given that:

Seating capacity of the car = 6

Entrance fee per person = $45.25

Parking fee per car = $10

Leah is accompanied by x friends.

So, the total cost can be modeled as the following linear function:

y=45.25x+10

Now, the value of x i.e. number of friends going with Leah can be any of the following:

0, 1, 2, 3, 4 or 5 (because maximum capacity of the car is 6).

Leah is also going.

So, total number of people can be 1, 2, 3, 4, 5 or 6.

Therefore, the table of x, y can be:

\begin{center}\begin{tabular}{ c c}x & y \\ 1 & 55.25  \\  2 & 100.50  \\   3 & 145.75  \\ 4 & 191  \\ 5 & 236.5   \\ 6 & 281.50   \\\end{tabular}\end{center}

Here, the value of y is nothing but the range of the function.

Therefore, the range of the linear function is:

{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}

7 0
3 years ago
6) It takes a biker 1/3 hour to ride 8/3 miles. What is
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I think the answer is B
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