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Naya [18.7K]
3 years ago
15

Find the area of the triangle below. Show as much work as possible. Label your answer appropriately.

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Answer:

Area=\frac{5}{12}x^2

Step-by-step explanation:

The area of a triangle is given by:

Area=\frac{1}{2}*base*height

From the diagram base=\frac{5}{6}x,and,height=x

We substitute into the formula to get:

Area=\frac{1}{2}*\frac{5}{6}x*x

This implies that:

Area=\frac{5}{12}x^2

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Increase #500 in the ratio 16:10
Oxana [17]

Answer:

Answer is <em>900</em>.

Step-by-step explanation:

To find:

Increase #500 in the ratio 16:10

Solution:

<em>New Number: Old Number = 16:10</em>

We are given the old number as 500.

Let the new number after increase = x

Now, using the above ratio:

<em />x<em>: </em>500<em> = </em>16:10

\dfrac{x}{500} = \dfrac{16}{10}\\\Rightarrow x = 500 \times \dfrac{16}{10}\\\Rightarrow x = 50 \times 16\\\Rightarrow x = 900

Therefore, the increased value of 500 in the ration 16:10 is <em>900</em>.

3 0
3 years ago
Which solids can have vertical cross sections that are circles? Check all that apply
blsea [12.9K]

cones

cylinders

spheres

Step-by-step explanation:

The question was worded incorrectly and instead of giving the options it gave you the answers

5 0
3 years ago
Round 6.487 and 2.049 to the hundredths place.<br><br> What is the sum of the rounded numbers?
sergey [27]

Hello there! 6.487 rounded to the nearest hundredths place is 6.49 and 2.049 rounded to the hundredths place is 2.05. The sum of these numbers is 8.54.

Remember: If the number value after the value you are rounding is equal to or greater than 5, round up. If it is less than 5, round down.

With this in mind, let's round the numbers:

First: 6.487 rounded to the hundredths place would be 6.49, since 7 is greater than 5.

Second: 2.049 rounded to the hundredths place would be 2.05, since 9 is greater than 5.

Next, we will add the numbers together

2.05 + 6.49 = 8.54.

So, this is our final answer. I hope this answers your question & have a great day! :)

3 0
3 years ago
Six different people each brought four dishes to a gathering. Find the total number of dishes.
Digiron [165]
The answer is 24 dishes 6x4
6 0
2 years ago
Naomi is riding her bicycle at a constant rate of 0.3 miles per minute. Vivian is riding her bicycle at a constant rate of 0.5 m
makkiz [27]
N=.3t, v=.5t-1, when they are riding next to each other n=v so:

.5t-1=.3t

.2t-1=0

.2t=1

t=5

So Vivian catches up to Naomi in 5 minutes....
4 0
3 years ago
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