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3 years ago

In a classroom of 3333 students, the ratio of boys to girls is 3:83:8. How many boys are in the class?

Mathematics

1 answer:

Paladinen [302]3 years ago

6 0

3x+8x=3333
11x=3333
X= 303
Boys 3x,so 3*303=909

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C. 100 °C is the answer

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3 years ago

Over the weekend, Kari drank 5/6 of a bottle of soda and Aisha drank 1/6 of a bottle.

Rina8888 [55]

Answer:

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Step-by-step explanation:

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2 years ago

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In the figure above, square ABCD and triangle EFG have the same areas. If AB =6 and EG =8, what is the height o triangle EFG?

lawyer [7]

Answer:

The height of triangle EFG is 9 units

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of a square ABCD

The area of a square is equal to

$A=b^2$

where

b is the length side of the square

we have

$b=AB=6\ units$

substitute

$A=6^2=36\ units^2$

step 2

Find the height of triangle EFG

The area of triangle EFG is equal to

$A=\frac{1}{2}(b)(h)$

where

b is the base of triangle

h is the height of triangle

we have

$b=EG=8\ units$

$A=36\ units^2$ ---> area of triangle EFG is the same that the area of square ABCD

substitute the given values in the formula

$36=\frac{1}{2}(8)(h)$

solve for h

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The height of triangle EFG is 9 units

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3 years ago

Consider a triangle with angles 30o-60o-90o, with hypotenuse of length 2. Calculate the lengths of the other 2 sides and store t

kumpel [21]

Answer:

1.00 and 1.73

Step-by-step explanation:

1) Calculating the 1st and the 2nd leg using trigonometric function sine:

$sin (30^{0})=\frac{c}{2}\Rightarrow \frac{1}{2}=\frac{c}{2}\Rightarrow 2*\frac{1}{2}=2*\frac{c}{2}\Rightarrow c=1\\sin(60^0)=\frac{b}{2}\Rightarrow \frac{\sqrt{3}}{2}=\frac{b}{2}\Rightarrow b=\sqrt{3}\Rightarrow\: b\approx \:1.73$

Once one leg is found there is another way to find the other leg, using Pythagorean Theorem too.

$a^{2}=b^{2}+c^{2}\Rightarrow 2^{2}=b^{2}+1^{2}\Rightarrow 4-1=b^{2}\Rightarrow b=\sqrt{3} b\approx 1.73$

Sides

a hypotenuse: 2.00

-------------------------------

b leg: 1.73

--------------------------------

c leg: 1.00

--------------------------------

4 0

3 years ago