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laila [671]
3 years ago
7

Ratio 3:4 boy/girls 245 total how many are boys

Mathematics
2 answers:
Softa [21]3 years ago
7 0
There are about 184 boys. 183.75 to be exact
il63 [147K]3 years ago
6 0
245/4=61.25
Cant be 61 and 1/4 kids so just say 61
61.25x3=183.75
There cant be 183 and 75/100 kids so its 183
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Am I right?? <br> * Show examples &amp; details if I am wrong!! *
baherus [9]

Yes, you are correct.

From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.

All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).

We can gather the following information from the given information.

  • The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
  • The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9

We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:

12/x = x/9

Using the cross product property gives us:

x² = 9 × 12

x² = 108

Taking the square root of both sides gives us:

x = √108

= 6 √3

Thus, your answer is correct. Great job!

Let me know if you need any clarifications, thanks!

8 0
3 years ago
What is 7/9dividing1/3 a fraction is
Mkey [24]

Answer:

7/9 ÷ 1/3 = 21/9 as simplified as 7/3 in fraction form. 7/9 ÷ 1/3 = 2.3333 in decimal form.

4 0
2 years ago
Select all that applies!
Serhud [2]

Answer:

C.

Step-by-step explanation:

Because there is constant term 4 in the question, but there is no any such constant term in the given options.

7 0
3 years ago
Suppose you inherited $277117 and invested it at 8.25% per year. Accordingly, how much could you withdraw at the beginning of ea
Wewaii [24]
According to my calculations the answer is 69
7 0
2 years ago
What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)?
attashe74 [19]
D(7,3) \\&#10;E(8,1) \\&#10;F(4,-1)

The lengths of the sides of the triangle:
\overline{DE}=\sqrt{(8-7)^2+(1-3)^2}=\sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt{5} \\ \\&#10;\overline{DF}=\sqrt{(4-7)^2+(-1-3)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5 \\ \\&#10;\overline{EF}=\sqrt{(4-8)^2+(-1-1)^2}=\sqrt{(-4)^2+(-2)^2}=\sqrt{16+4}=\sqrt{20}= \\&#10;=\sqrt{4 \times 5}=2\sqrt{5}

No sides are equal to each other, so it's a scalene triangle.

Check if the sides satisfy the Pythagorean theorem:
(\sqrt{5})^2 + (2\sqrt{5})^2=5^2 \\&#10;5+20=25 \\&#10;25=25 \\&#10;true
They do, so it's a right triangle.

The triangle is a right scalene triangle.
7 0
3 years ago
Read 2 more answers
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