Answer:
2√30 + 30√2
Step-by-step explanation:
(4√3 − 2√5)(3√10 + 5√6) simplify
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- (4√3 − 2√5)(3√10 + 5√6)=
- 12√30 + 20√18 - 6√50 - 10√30=
- 2√30 + 20*3√2 - 6*5√2=
- 2√30 + 30√2
Answer:
=8 oats to 1 flaxseed
= 4 oats to 1 quinoa
= 3 oats to 1 soy protein
Step-by-step explanation:
given
2 cups of oats
1/4 cup of flaxseed
1/2 cup of quinoa
2/3cup of soy protein
the ratios for the amount of oats to the amount of each of other grain =
2 cups of oats : 1/4 cup of flaxseed
=2 : 1/4
=2 / 0.25
=8 : 1
= 8 oats to 1 flaxseed
2 cups of oats : 1/2 cup of quinoa
= 2 : 1/2
= 2 : 0.5
= 4 : 1
= 4 oats to 1 quinoa
2 cups of oats : 2/3cup of soy protein
= 2 : 2/3
= 2 : 0.667
= 3 : 1
= 3 oats to 1 soy protein
Answer:
56.7°
Step-by-step explanation:
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
We solve this question using the Trigonometric function of Sine
From the question, we are told that:
A rectangle is 5.1 cm wide
and each diagonal is 9.3 cm long.
Since we have a diagonal, this means the shape is transformed to a triangle.
The width of the rectangle = Adjacent side of a triangle = 5.1cm
The diagonal of the rectangle = Hypotenuse = 9.3cm
Hence,
cosθ = Adjacent/Hypotenuse
cosθ = 5.1/9.3
cosθ = 0.5483870968
θ = arccos(0.5483870968)
θ = 56.743568714°
Approximately = 56.7°
The measure of the angle is 56.7°
Answer:
y + 4 = -3(x + 1)
Step-by-step explanation:
point-slope form : y - y2 = m (x - x2)
In this case m = -3 and x2 = -1, y2 = -4
So
The equation in point-slope form
y + 4 = -3(x + 1)
Answer:
Use the associative property to move the parentheses, and the expression becomes (d + 8d) + 1 + 7. Combine like terms, and the expression becomes 9d +8. Use the commutative property to change the order of the terms, and the expression becomes 8 + 9d.
Step-by-step explanation:
