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2 years ago

Which expression is equivalent to 8/6? •/14 •/48 •/96 •/384

Mathematics

1 answer:

mihalych1998 [28]2 years ago

5 0

Answer:

./48

Step-by-step explanation:

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What is the largest number that can be rounded to 2500 when rounded to the nearest ten

Nookie1986 [14]

2499.9999999... is your answer

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3 years ago

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Find the variation constant and an equation of variation where y varies directly as x and y=24 when x=3.

Kay [80]

Answer:

Step-by-step explanation:

y=x, y=kx, k is a constant, k/x=y/x, k=y/x, k=24/3, k=8

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3 years ago

You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

$2\theta = \cos^{-1}0$

$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

y: 1 -1 1 -1

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

6 0

3 years ago

Eighth grade > V.4 Area and circumference of circles CHV

kati45 [8]

Answer: $D=13.8$

Step-by-step explanation:

To fing the diameter of a circle when given the circumfrence we use the formula of

$D=\frac{c}{\pi }$

$D= \frac{43.332}{3.14}$

$D=13.8$

8 0

2 years ago

1. Find the area of the polygon

zhannawk [14.2K]

Answer:

1. A = 40 units²

2. A = 72 units²

3. B) 45

Step-by-step explanation:

1. This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 4(1/2 x 5 x 4)

= 40 units²

2. This shape comprises two pairs of congruent triangles.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)

= 72 units²

3. Count the number of shaded squares:

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²

7 0

2 years ago