-3/5x + 1/5 > 7/20
-3x + 1/5 > 7/20 join the denominators
-3x + 1 > 7/20 * 5 multiply both sides by 5
-3x + 1 > 35/20
-3x + 1 > 7/4
-3x > 7/4 - 1
-3x > 3/4
x < -3/4 ÷ 3
x < -1/4
hope that helps, God bless!
Answer:
I'm thinking it's 9
Step-by-step explanation:
Graph B.
Because y< so shade underneath the line
And because it is less then not less than or equal to then the line is dashed.
Answer:
see step-by-step
Step-by-step explanation:
It's not clear from your notation, so I will provide 2 answers.
3√(47x) = 24√(47)
3√(47)√x = 24√(47)
Divide both sides by √(47): 3√x = 24
Divide both sides by 3: √x = 8
Square both sides: x = 64
3√(47)x = 24√(47)
Divide both sides by √(47): 3x = 24
Divide both sides by 3: x = 8
Answer:
m∠B ≈ 51.5°
Step-by-step explanation:
A triangle solver can find this answer simply by entering the data. If you do this "by hand," you need to first find length BC using the Law of Cosines. Then angle B can be found using the Law of Sines.
<h3>Length BC</h3>
The Law of Cosines tells us ...
a² = b² +c² -2bc·cos(A)
a² = 21² +13² -2(21)(13)cos(91°) ≈ 619.529
a ≈ 24.8903
<h3>Angle B</h3>
The Law of Sines tells us ...
sin(B)/b = sin(A)/a
B = arcsin(sin(A)×b/a) = arcsin(sin(91°)×21/24.8903)
B ≈ 57.519°
The measure of angle B is about 57.5°.