12 boys. 7 * 3 is 21. 21 girls. 4*3 is 12. 12 boys 21 girls
3(x)-5=x+5
3x=-5+5+x
3x=x
0=x
because 3x=x is basically would make each part into 0 which would end up the same.
Answer:
179/180
Step-by-step explanation:
<em><u>Step One</u></em>
Find the prime factors of 18 and 20
18:3*3*2
20: 2 * 2 * 5
<em><u>Step Two</u></em>
You need two 2s two 3s and one 5 for the common denominator
The common denominator is 2 * 2 * 3 * 3 * 5 = 180
<em><u>Step Three</u></em>
Put the two fractions over 180
179/180
Answer:
1.) 471.24
2.) 1231.5
3.) 113.1
Step-by-step explanation: A = pi x r^2 + pi x r x ^2
1.) a = 3.14 x (5)^2 + 3.14 x 5 x ^2
a = 3.14 x 25 + 3.14 x 5 x 25
a = 78.54 + 392.70
a ≈ 471.24
2.) A = 3.14 (7)^2 + 3.14 x (7) x ^2
a = 3.14 x 49 + 3.14 x 7 x 49
a = 153.93 + 1077.57
a ≈ 1231.5
3.) a = 3.14 (3)^2 + 3.14 x 3 x ^2
a = 3.14 x 9 + 3.14 x 3 x 9
a = 28.27 + 84.82
a ≈ 113.1
Answer:
tan ∅ = 24 / 7
Step-by-step explanation:
cos ∅ = 7 / 25
sin^2 ∅ + cos^2 ∅ = 1
sin^2 ∅ + (7 / 25)^2 = 1
sin^2 ∅ = 1 - 49 / 625
sin^2 ∅ = 625 - 49 / 625
sin^2 ∅ = 576 / 625
sin ∅ = root 576 / 625
sin ∅ = 24 / 25
tan ∅ = sin ∅ / cos ∅
tan ∅ = 24/25 / 7/25
Therefore, tan ∅ = 24 / 7
OPTION 4. 24 / 7
