Answer:
2
Step-by-step explanation:
First you must use distributive property on the numberator. You multiply 4 with 8, then 4 with 2. It will look like this: 32-8. Then you solve, it equals 24. Then add the denominator, which equals 12. Lastly, divide 24 by 12, which gets you 2.
Answer:
2
Step-by-step explanation:
4(8-2)/3+9
First subtract 8 by 2
8-2=6
4(6)/3+9
Now multiply 4 and 6
4(6)=24
24/3+9
now add 3 and 9
3+9=12
24/12
now divide the top by the bottom
24/12=2
Hope This Helps :)
Answer:
-120/119
Step-by-step explanation:
cos α = -5/13 = adj/hyp
using Pythagoras theorem
hypotenuse ² = opposite² + adjacent ²
13² =opp²+ (-5)²
169 = opp² + 25
169-25 = 144 = opp²
opp = √144 = 12
sinα = opp/hyp = -12/13
sin β = -12/13
tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ)
cos α = -5/13
sinα = 12/13
tanα= sinα/cosα = 12/13 / -5/13 = 12/-5 = -12/5
sin β = -12/13
cos β = 5/13
tan β = sinβ/cosβ = -12/13 / 5/13 = -12/5
tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ)
tanα = -12/5
tanβ= -12/5
tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ) = (-12/5+(-12/5))/(1-(-12/5)(-12/5))
(-12/5+(-12/5)) = -12-12/5 = -24/5
(1-(-12/5)(-12/5)) = 1-(144/25) = (25-144)/25 = 119/25
tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ) = (-12/5+(-12/5))/(1-(-12/5)(-12/5)) =-24/5/119/25 = -24/5 x 25/119 = -24x5/119 = -120/119
cartas con reemplazo. ¿Cuál es la probabilidad de que sean de
corazones?
The equivalent ratios of the cups of sugar to cups of flour are shown in table B.
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that for a recipe, Paul uses 3 cups of sugar for every 4 cups of flour. Check the table number B for the ratios of the cups of sugar to cups of flour,
Cups of sugar Cups of flour ratio
3 4 3 / 4 = 0.75
6 8 6 / 8 = 0.75
9 12 9 / 12 = 0.75
12 16 12 / 16 = 0.75
Hence, the table which shows the equivalent ratio is B
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Answer:
B
Step-by-step explanation:
In the chart for b it shows the use of 3 cups of sugar per 4 cups of flour which is what the question wants you to find.
The surface area of the cube with a side length of 2 units is 24 units squared
The side length of the cube is given as:
l = 2
The surface area is calculated as:
Surface area = 6l^2
This gives
Surface area = 6 *2^2
Evaluate
Surface area = 24
Hence, the surface area of the cube is 24 unit squared
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17.5
35
70
60
Multiply by 2 to get that the measure of arc CB is 70.
Answer:
measure of arc CB is 70°
Step-by-step explanation:
Draw segment FC.
Measure of arc CB = ∠CFB
∠CFB is complementary to ∠CFA
∠CFB = 180° - ∠CFA
Δ CFA is isosceles
∠ FAC = ∠ FCA = 35°
∠CFA +∠ FAC + ∠ FCA = 180°
∠CFA = 180° - 70°
∠CFB = 180° - (180° - 70°) = 70°
∴ Measure of arc CB is 70°