∠R = 100° , ∠S = 40° and ∠T = 40°
<u>Step-by-step explanation:</u>
In a triangle, sum of all the angles in a triangle is equal to 180 degrees.
In Δ RST,
∠R + ∠S + ∠T = 180°
It is given that,
∠S = ∠T
∠R = 2∠S + 20
So plugin these values in the above equation, we will get,
2∠S + 20 + ∠S+ ∠S = 180
4∠S = 180 - 20
∠S = 160/ 4 = 40
∠R = 2× 40 + 20 = 80 + 20 = 100°
∠S = ∠T = 40°
<u></u>
Scott: 8,748 x 30% = 2,624.40 his share for health insurance.
2,624.40 / 52 weeks = 50.47
50.47 x 2 = 100.94 (biweekly pay) CHOICE D.
Jarvis: 41 y.o male ; 115,000 for 20 years.
115,000 / 1,000 = 115
115 x 13.68 = 1,573.20 annual premium
1,573.20 / 52 weeks = 30.25 weekly deduction CHOICE D.
I think the initial investment is 3,000 to have an answer among the given choices.
Marco: 3,000 (1.0425)^17 = 3,000 x 2.029 = 6,087 CHOICE D. about 17 years.
Stephen: 8,000 x 6.75% p.a. = 540 / 2 (semi annual) = 270 CHOICE A.
Skye: 36,192 annual salary / 52 weeks = 696 weekly salary
696 x 4% deduction = 27.84 skye's share
696 x 3% deduction = 20.88 employer's share
27.84 + 20.88 = 48.72 nearest to CHOICE D.
Ruth problem needs additional data.
Chanel:
1175 x 1.45% x 4 yrs = 68.15 Choice A.
The number of 11-inch softball is 70 and the number of 12-inch softball is 50.
<u>Step-by-step explanation</u>:
<u>Given that,</u>
- The cost of 11-inch softball = $2.50
- The cost of 12-inch softball = $3.50
<u>Let us assume,</u>
- The number of 11-inch softball be 'x'.
- The number of 12-inch softball be 'y'.
<u>Forming the equation to solve x and y values :</u>
- The total number of softball ordered = 120
- The total cost for 120 softballs = $350
x + y = 120 -------(1)
2.5x + 3.5y = 350 --------(2)
<u>Multiply eq(1) by 2.5 and subtract eq(2) from eq(1)</u>,
2.5x +2.5y = 300
-<u>(2.5x +3.5y = 350)</u>
<u> -1y = -50</u>
Therefore the value of y = 50.
The number of 12-inch softball is 50.
<u>Substitute y=50 in eq(1),</u>
x+50 = 120
x = 120-50
x = 70
The number of 11-inch softball is 70.
Divide 3 by 5 and then multiply by 100 to get percentage.
3/5 = 0.60 x 100 = 60%
Answer: 60%
Answer:
As a fraction, the answer is exactly 86/969
In decimal form, the answer is approximately 0.08875
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Work Shown:
The assumption is that no replacements are made for each selection.
5 red, 6 blue, 8 green
5+6+8 = 19 total
A = P(3 red) = (5/19)*(4/18)*(3/17) = 10/969
B = P(3 blue) = (6/19)*(5/18)*(4/17) = 20/969
C = P(3 green) = (8/19)*(7/18)*(6/17) = 56/969
D = P(3 all same color)
D = A+B+C
D = 10/969 + 20/969 + 56/969
D = (10+20+56)/969
D = 86/969
D = 0.08875