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3 years ago

If the height of a triangle

Mathematics

1 answer:

Dvinal [7]3 years ago

5 0

Answer:

75 cm

Step-by-step explanation:

To find the area of a traingle you use the following equation

b*h*.5

We know that the height of the triange is three times the base and that the area is 937.5

This means that

b*3b*.5=937.5

We can combine this and get 1.5b^2=937.5

We can then divide by 1.5 to get b by itself

b^2=625

Then take the square root for our answer and get b=25 (while be also can be -25 it doesn't make sense to have a negative answer in the context of this problem)

So we know that b=25 and that h=3b which means that the height is 75 cm

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The n number of homeruns hit during the regular season by a certain baseball player can be modeled by the function n(x) =3/4x, w

sukhopar [10]

Answer:

The average rate of change is equal to $\frac{3}{4}\frac{homeruns}{game}$

Step-by-step explanation:

we have

$n(x)=\frac{3}{4}x$ -----> this is a linear direct variation

we know that

The rate of change of a linear variation is a constant

The rate of change of a linear variation is equal to the slope of the line

In this problem the slope of the line is equal to $m=\frac{3}{4}\frac{homeruns}{game}$

therefore

The average rate of change is equal to $\frac{3}{4}\frac{homeruns}{game}$

<u>Verify</u>

the average rate of change is equal to

$\frac{n(b)-n(a)}{b-a}$

In this problem we have

$n(a)=n(12)=\frac{3}{4}(12)=9\ homeruns$

$n(b)=n(60)=\frac{3}{4}(60)=45\ homeruns$

$a=12\ games$

$b=60\ games$

Substitute

$\frac{45-9}{60-12}=\frac{3}{4}\frac{homeruns}{game}$

4 0

3 years ago

Use the scale factor 1:15 to find the missing dimension.

mestny [16]

Answer:

20 cm

Step-by-step explanation:

$3 m*\frac{1}{15} *\frac{100 cm}{1 m}$

1. Multiply the actual depth my the scale factor of 1/15.

2. Multiply the resulting depth after multiply by the scale factor by the conversion factor of meters to centimeters.

6 0

3 years ago

there are 24 marbles in a bag: 2/16 of the marbles are red, 1/8 of the marbles are blue, 1/4 of the marbles are yellow, 1/3 of t

Roman55 [17]

Answer: 3 red marbles, 3 blue marbles, 6 yellow marbles, 8 black marbles, 4 silver marbles

Step-by-step explanation:

I know these are the correct number of marbles because I set up these numbers as fractions and solved for x.

For examples, 2/16 of the marbles are red. 2/16=x/24

You would do this because we are trying to find the number of marbles that are red out of the 24 marbles.

Next, we would do 24 divided by 16= 1.5 Then 1.5 times 2=3

You would follow this rule for each fraction of marbles in order to find the true number of marbles out of 24.

4 0

2 years ago

3x-4=13 solve inequality plz show work !

dimulka [17.4K]

3x-4=13
First you want all your x's on one side, and all your ordinary numbers on the other.
Add four to both sides to get rid of the "-4" part on the left.
Your new equation is 3x = 17
Divide each side by 3 to find X.
x= 17/3 or 5 2/3

7 0

3 years ago

Read 2 more answers

Solve the following system of equations.<br> 5x+2y =-6<br> 3x-2y = 22

katen-ka-za [31]

Answer:

5x+2y =-6 ........1

3x-2y = 22 ........2

Add both Equations

we get

8x = 16

Divide both sides by 8

x = 2

Substitute x = 2 into any of the equations

3(2) - 2y = 22

-2y = 22 - 6

- 2y = 18

Divide both sides by -2

y = - 9

x = 2 y = - 9

Hope this helps

6 0

3 years ago