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3 years ago

A triangle has a height of 15 in. and a area of 120 in. What is the length of it's base?

Mathematics

1 answer:

jek_recluse [69]3 years ago

7 0

Answer:

b=16

Step-by-step explanation:

Formula~ 1/2*b*h

1/2*15*b=120

7.5b=120

b=120/7.5

b=16

(you can substitute the value to check-i've done it below)

1/2*16*15=?

if you work it out, the ans will be 120, therefore the ans is correct!

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Work out 1/5 of 80 =

Reil [10]

Answer:

Step-by-step explanation: your welcome

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2 years ago

At the beginning of a walk, roberto and juanita are 7.77.7 miles apart. if they leave at the same time and walk in the same di

dem82 [27]

Roberto overtakes Juanita at the rate of (7.7 mi)/(11 h) = 0.7 mi/h. This is the difference in their speeds. The sum of their speeds is (7.7 mi)/1 h) = 7.7 mi/h.

Roberto walks at the rate (7.7 + 0.7)/2 = 4.2 mi/h.
Juanita walks at the rate 4.2 - 0.7 = 3.5 mi/h.

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In a "sum and diference" problem, one solution is half the total of the sum and difference. If we let R and J be the respective speeds of Roberto and Juanita, we have
R + J = total speed
R - J = difference speed
Adding these two equations, we have
2R = (total speed + difference speed)
R = (total speed + difference speed)2 . . . . . as computed above

4 0

3 years ago

Determine whether each function is an example of exponential growth or decay. Then, find the y -intercept. y=25/7(7/5) x

Olenka [21]

y = 25x / 5 is each function is an example of exponential growth or decay.

What does exponential growth look like in math?

A typical illustration of exponential expansion is population increase. Take a population of bacteria as an example. It seems sense that the rate of population increase would be inversely correlated with the population's size.
After all, the number of bacteria grows more quickly the more there are for them to reproduce.

y= 25/7(7/5) x

y = 25/5 x

y = 25x / 5

Learn more about exponential growth

brainly.com/question/11487261

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7 0

1 year ago

A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Soloha48 [4]

Answer:

72 cubic inches

Step-by-step explanation:

Volume of cone = $\frac{1}{3}\pi r^{2} h$ --1

Volume of cylinder = $\pi r^{2} h$ --2

We are given that a cylinder should fit exactly inside the cone

On comparing 1 and 2 we can see:

$\text{Volume of cone}= \frac{1}{3} \text{Volume of cylinder}$

Since we are given the volume of cone is 24 cubic inches .

So, $24= \frac{1}{3} \text{Volume of cylinder}$

$24 \times 3= \text{Volume of cylinder}$

$72= \text{Volume of cylinder}$

Hence the volume of cylinder is 72 cubic inches

Option D is correct.

3 0

3 years ago

Read 2 more answers

The number of stamps that Kaye and Alberto had were in the ration of 5:3 respecctively. After Kaye gave Alberto 10 of her stamps

masha68 [24]

Answer: The correct option is

(D) 60.

Step-by-step explanation: Given that the number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively.

After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 7:5.

We are to find the number of stamps that Kaye had more than Alberto.

Let the number of stamps Kaye and Alberto has are 5x and 3x respectively.

Then, according to the given information, we have

$(5x-10):(3x+10)=7:5\\\\\Rightarrow \dfrac{5x-10}{3x+10}=\dfrac{7}{5}\\\\\Rightarrow 25x-50=21x+70\\\\\Rightarrow4x=120\\\\\Rightarrow x=\dfrac{120}{4}\\\\\Rightarrow x=30.$

So, the number of stamps that Kaye had = 5 × 30 = 150

and

the number of stamps that Alberto had = 3 × 30 = 90.

Therefore, the number of stamps that Kaye had more than Alberto is

$150-90=60.$

Thus, Kaye had 60 stamps more than Alberto.

Option (D) is CORRECT.

7 0

3 years ago