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3 years ago

The quotient of 4 and 1/5 will be greater than 4.

2 answers:

8 0

First, we will need to compute the quotient of 4 and 1/5
When we divide a number by a fraction, we convert the division to multiplication and then flip this fraction.
Therefore, in the given:
4 / (1/5) we will convert the division into multiplication and flip the 1/5 to 5
This will result is the following:
4 / (1/5) = 4*5 = 20

Comparing this quotient to 4, we will find that the quotient is greater than 4

Therefore, the given statement is: True

Ahat [919]3 years ago

3 0

The quotient will actually be less because you are dividing the number and the fraction and when you divide you break it down so the answer won't be more than the greatest number.

If this helps please mark Brainliest.

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BRAINLIESTTT ASAP! PLEASE HELP ME :)

Gre4nikov [31]

Answer:

θ = 0.896 and 2.246.

Step-by-step explanation:

We will use the identity

sin²θ + cos²θ = 1

and the double angle formula

cos2θ = cos²θ - sin²θ = (1 - sin²θ) - sin²θ = 1 - 2sin²θ

1. Convert the equation to a more solvable form.

$\begin{array}{rcll}\sin\theta + 1 & = & \cos2\theta &\\\sin\theta + 1& = & 1-2\sin^{2}\theta & \text{Used the double angle formula}\\f(\theta) = 2\sin^{2}\theta + \sin\theta -2 & = & 0 & \text{Moved terms to left-hand side}\\2u^2 + u - 2 & = & 0 & \text{Substituted u for }\sin\theta\\\end{array}$

2. Solve the quadratic

a = 2; b = 1; c = -2

(a) Set up the equation.

$u =\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\=\dfrac{-1\pm\sqrt{(1^2 - 4\times 2 \times (-2)}}{2\times2}\\\\=\dfrac{-1\pm\sqrt{1 + 16}}{4}\\\\=\dfrac{-1\pm\sqrt{17}}{4}\\$

(b) Evaluate the roots

$\begin{array}{rcl}u = \dfrac{-1 - 4.123}{4} & \qquad & u = \dfrac{-1 + 4.123}{4}\\\\u = -\dfrac{5.123}{4} & \qquad & u =\dfrac{3.123}{4}\\\\u = -1.281& \qquad & u =0.7808\\\end{array}$

3. Solve for θ

(a) The negative root

u = sinθ = -1.281

sinθ cannot be less than -1. No solution.

(b) The positive root

If sin(x) = a, then

x = arcsin(x) + 2πn and

x = π - arcsin(a) + 2πn

(i) Case 1

u = sinθ = 0.7808

θ = arcsin(0.7808) + 2πn

θ = 0.8959 ± 2πn

If n = 0,

θ = 0.8959

(ii) Case 2

θ = π - 0.8959 + 2πn

If n = 0,

θ = π - 0.8959 = 2.246

The solutions are θ = 0.8959 and θ = 2.246

The diagram below shows the graph of f(θ) with its roots at 0.896 and 2.246.

5 0

3 years ago

Find the area and round to the nearest tenth: Diameter equals 5 1/2 yards

sammy [17]

The formula for area of a circle is A=rsquared*3.14. Divide 5.5/2 to get 2.75. Mulitply 2.75 times 2.75 to get approximately 7.56. Then, multiply that times 3.14 to get approximately 23.74.

Answer=23.74 yards

3 0

3 years ago

-(2)negative negative two quotation to the zero power equals

MakcuM [25]

Answer:

Step-by-step explanation:

While I am not 100% sure what you are putting (I'm assuming it's -2^0), anything to the power of 0 will equal a positive 1 as your answer.

5 0

3 years ago

Miguel’s teacher asked him to color 4/8 of his grid. He must use 3 colors: red, blue, and green. There must be more green sectio

wolverine [178]

Color 2/8 of grid in green, 1/8 grid in red and 1/8 grid in blue