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2 years ago

the ratio of the height of a triangle to its base is 2:3. If the height of the triangle is 18cm, what is the length of the base

Mathematics

1 answer:

Mice21 [21]2 years ago

7 0

Answer:

27 cm

Step-by-step explanation:

Hi there!

Let b be equal to the length of the base.

Form a proportion:

$\displaystyle \frac{2}{3} =\frac{18}{b}$

Cross multiply:

$3*18=2b\\54=2b\\b=27$

Therefore, the length of the base is 27 cm.

I hope this helps!

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alfredo bought a fishing pole for 60 off it's original price of $97 if the tax was 4% how much did alfredo pay for the fishing p

Agata [3.3K]

Answer:

$40.4

Step-by-step explanation:

The regular price of the fishing rod is $97

There is a 60% discount from that price.

The discount is equal to 60% of $97 which is equal to .60 * $97 which is equal to $58.2

Discount is like a markdown, so subtract $58.2 from the price of the item before the change to get $97 - $58.2 = $38.8

This is the price of the item before tax is applied.

Now you apply the sales tax of 4%.

4% of $38.8 is equal to .04 * $38.8 which is equal to $1.552

Tax is like a markup, so add $1.552 to the price of the item before tax was applied to get a selling price of $38.8 + $1.552 which is equal to $40.352

Round it up and the answer is $40.4

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3 years ago

For a circle with a radius of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a lengt

lesantik [10]

I hope this helps you

Arc length = central angle/360.2pi.r

7/3pi=?/360.2pi.6

?=7.10

?=70

8 0

3 years ago

Read 2 more answers

Find the distance between the pair of points given on the graph

seraphim [82]

The right answer is √74 units.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

7 0

3 years ago

1. Find the volume of both right cylinders.

sergey [27]

1.) 1205.76
2.)653.12

6 0

3 years ago

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Question 6 Multiple Choice Worth 5 points)

Citrus2011 [14]

Answer:

The equation of the graph is;

y = 4·x

Step-by-step explanation:

The coordinates of two points, (x₁, y₁), and (x₂, y₂) respectively on the straight line graph are;

(-3, 12), and (2, 8)

The slope, m, of the straight line graph is given as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Therefore, by substitution of the values, we have;

$Slope, \, m =\dfrac{8-(-12)}{2-(-3)} = \dfrac{8 + 12}{2 + 3} =\dfrac{20}{5} = 4$

The equation of the graph in point slope form is therefore;

(y - 8) = 4×(x - 2)

y = 4·x - 8 + 8 = 4·x

y = 4·x.

4 0

3 years ago