Four times the sum of a number and 15 is at least 120
Let ‘x’ represent the number.
"The sum of a number and 15"
This can be written mathematically as x + 15
Given that 4 times this sum is at least 120,
This means that 4 times the sum is greater than or equal to 120
This can be written mathematically as 4(x + 15) >= 120
Solving for x
4(x + 15) >= 120
4x + 60 >= 120
4x >= 120 – 60
4x >= 60
x >= 60/4
x >= 15
x is greater than or equal to 15
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Step-by-step explanation:
we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
a, b, c being the sides, A, B, C being the opposing angles of the sides.
and remember, the sum of all angles in a triangle is 180°.
so,
JL/sin(90) = KL/sin(72)
JL/1 = KL/sin(72)
KL = JL × sin(72) = 10 × 0.951056516... =
= 9.51056516... ≈ 10
JK/sin(L) = JL/sin(90) = JL
JK = JL × sin(L)
angle L = 180 - 90 - 72 = 18°
JK = JL × sin(18) = 10 × 0.309016994... =
= 3.09016994... ≈ 3
Answer:
Step-by-step explanation:
-Let x be the sample size and n the population size
-The conditions for a one-sample proportion z-test are:
-The sample is randomly selected from the population.
-The sample size is greater than or equal to ten times the population size:
-The expectation np is greater than or equal to 10:
Answer:
30
Step-by-step explanation:
The measure of an arc is the size of the corresponding central angle, so angle 1 for AB,
