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3 years ago

Write the following ratios Tennis balls to tennis rackets

Mathematics

1 answer:

mel-nik [20]3 years ago

8 0

There is no ratio of tennis balls or rackets lol

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Two corresponding sides of similar triangles are 2 cm and 5 cm. What is the area of the second triangle if the area of the first

Stella [2.4K]

Answer:

(1) Area of second triangle= 50 cm^2.

(2) Area of ΔABC=98 cm^2.

and Area of ΔDFG=175 cm^2.

Step-by-step explanation:

<em>" For two similar triangles the ratio of sides is equal to the ratio of square of their areas".</em>

i.e. if a,b are the corresponding sides of two similar triangles and let A and B denote the area of two triangles then we have the relation as:

$\dfrac{a^2}{b^2}=\dfrac{A}{B}$

(1)

for the first question:

we have a=2, b=5.

A=8 cm^2.

Hence,

$\dfrac{2^2}{5^2}=\dfrac{8}{B}\\\\\dfrac{4}{25}=\dfrac{8}{B}$

B=50 cm^2.

Hence, the area of second triangle is 50 cm^2.

(2)

In second option we have:

a=6 and b=5.

A-B=77 cm^2.

A=77+B

$\dfrac{6^2}{5^2}=\dfrac{A}{B}\\ \\\dfrac{36}{25}=\dfrac{77+B}{B}\\ \\36B=25\times77+25B\\\\36B-25B=25\times77\\\\11B=25\times77\\\\B=25\times7\\\\B=175$

Hence area of second triangle i.e. ΔDFG is 175 cm^2.

and area of first triangle i.e. ΔABC=175-77=98 cm^2.

8 0

2 years ago

PPLLEEAASSEE HHEELLPP

34kurt

We simply need to find a common denominator. The common denominator between the two (LCM/Least common multiple for denominator) is 24.

Now, we multiply the numerators also. We have our new numbers: 2 8/24 for October, 12/24 for November, and 3 9/24 for December. Now, we have to add them together. 2 8/24 + 12/24 = 2 20/24

Now, add the December value to the combined October/November values.

2 20/24 + 3 9/24 = 5 29/24

Now, we need to simplify the fraction.

6 9/24

Answer: 6 3/8 inches of rain occured in the three months.

8 0

3 years ago

A = {1, 2, 3, 4, 5 ,6 ,7} how many subsets of A INCLUDE {1, 3, 5} Write down all the sets ({})

jolli1 [7]

Answer:

total no of outcomes are '15'

outcomes are shown below.

Step-by-step explanation:

A = {1, 2, 3, 4, 5 ,6 ,7}

subsets which will include {1, 3, 5}

hence, the outcome are :

{1,2,3,5}, {1,3,4,5}, {1,3,5,6}, {1,3,5,7}, {1,2,3,5,6},{1,2,3,5,7},{1,2,3,4,5}, {1,3,4,5,6}, {1,3,4,5,7}, {1,2,3,5,7},{1,2,3,5,6}, {1,3,5,6,7},{1,2,3,4,5,6},{1,2,3,4,5,7}, {1,2,3,4,5,6,7}

so the total no of outcomes are '15'

5 0

3 years ago

What is the graph of y = x2 + 6x + 13 ?<br> What does the graph look like

ladessa [460]

Answer:

If I entered it in correctly it would look something like this,,