Answer:
3x=15
Step-by-step explanation:
Here's what I found on google about the distributive property-
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Now for the math-
3(x+5)
distribute the numbers- 3(x)+3(5)
solve- 3*5=15
3x+15
Answer: a) BC = 1386.8 ft
b) CD = 565.8 ft
Step-by-step explanation:
Looking at the triangle,
AD = BD + 7600
BD = AD - 7600
Considering triangle BCD, we would apply the the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 24 = CD/BD = CD/(AD - 700)
0.445 = CD/(AD - 700)
CD = 0.445(AD - 700)
CD = 0.445AD - 311.5 - - - - - - - -1
Considering triangle ADC,
Tan 16 = CD/AD
CD = ADtan16 = 0.287AD
Substituting CD = 0.287AD into equation 1, it becomes
CD = 0.445AD - 311.5
0.287AD = 0.445AD - 311.5
0.445AD - 0.287AD = 311.5
0.158AD = 311.5
AD = 311.5/0.158
AD = 1971.52
CD = 0.287AD = 0.287 × 1971.52
CD = 565.8 ft
To determine BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin 24 = CD/BC
BC = CD/Sin24 = 565.8/0.408
BC = 1386.8 ft
35 =
(3.14)(r²)(2.4)
35 =
(7.536)(r²)
35 = <span>2.512 r</span>²
35 ÷ 2.512 = 14
2.512 ÷ 2.512 = 1
14 ≈ r²
√14 ≈ √r²
3.74165 ≈ r
I'd say A would be the answer!
<u>Answer:</u>
- Prob (Marta winning) < Prob (Elena winning) : Case 1st, 3rd & 5th
- Prob (Marta winning) = Prob (Elena winning) : Case 2nd
- Prob (Marta winning) > Prob (Elena winning) : Case 4th
<u>Step-by-step explanation:</u>
Elena outcomes of winning, first even no. & second no. = 3 : (2,1) , (2,2) , (4,1) , (4,2) , (6,1) , (6,2). So, Probability (Elena willing) = favourable outcomes / total outcomes = 6 / 36
- Margie dice sum '7' outcomes = (2,5) , (5,2) , (3,4) , (4,3). So, Prob = 4/36
- Margie dice sum '6' outcomes = (1,5) , (5,1) , (2,4) , (4,2) , (3,3). So, Prob = 6/36
- Margie dice sum '2' or '9' outcomes = (1,1) , (3,6) , (6,3) , (4,5) , (5,4). Prob = 5/36
- Margie dice sum '>9' outcomes = (3,6) , (6,3) , (4,5) , (5,4) , (4,6) , (6,4) , (5,5) , (5,6) , (6,5) , (6,6). Prob = 10/36
- Margie dice sum '>2,<5' outcomes = (1,2) , (2,1) , (2,2) , (1,3) , (3,1) = 4/ 36
Answer:
Step-by-step explanation:
Use Pythagoras theorem
a = √ 8² + 5² = 9.4
b = √ 17² - 12² = 12.0
