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3 years ago

Find the missing measures of the following rectangle

Mathematics

1 answer:

Allushta [10]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

In a rectangle

• All angles are right angles

• the diagonals are congruent

In Δ WXV the sum of the 3 angles = 180°

∠ WXZ = ∠ XWY = $\frac{180-64}{2}$ = $\frac{116}{2}$ = 58°

∠ YXZ = 90° - 58° = 32°

∠ WVZ = 180° - 64° = 116° ( adjacent angles are supplementary )

∠ XWZ = 90° ( by definition of rectangle )

∠ XZY = ∠ WXZ = 58° ( corresponding angles )

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melisa1 [442]

Answer:

B = 781.347

Step-by-step explanation:

Since we already have an equation just plug in terms where needed.

$B=17(243)^{\frac{4}{5}}$

First, start by multiplying to get rid of the parentheses.

$B=4131^{\frac{4}{5}}$

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Hope this helps with the problem.

5 0

3 years ago

One month the store sold 12 electric guitars.If that Was 60% of their sales for the month how many guitars did they sell that mo

Roman55 [17]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

Read 2 more answers

1. Find sinθ if cosθ=1/2 and θ terminates in Quadrant IV.

Neko [114]

Answer:-(√3)/2, (√2)/2, -√3, and undefined

Step-by-step explanation:

There are two ways you can solve this. One is with the Pythagorean identity:

sin²θ + cos²θ = 1

The other way is by knowing your unit circle.

1. From the unit circle, we know that cos θ = 1/2 at θ = π/3 and θ = 5π/3. Since θ is in Quadrant IV, then θ = 5π/3. sin (5π/3) = -(√3)/2.

We can check our answer using the Pythagorean identity:

sin²θ + cos²θ = 1

sin²θ + (1/2)² = 1

sin²θ + 1/4 = 1

sin²θ = 3/4

sin θ = ±(√3)/2

Since sine is negative in Quadrant IV, sin θ = -(√3)/2.

We can repeat these steps for the other questions.

2. sin θ = (√2)/2 at θ = π/4 and θ = 3π/4. Since θ is in Quadrant I, θ = π/4. Therefore, cos θ = (√2)/2.

3. cos θ = -1/2 at θ = 2π/3 and θ = 4π/3. Since θ is in Quadrant II, θ = 2π/3. Therefore, sin θ = (√3)/2, and tan θ = sin θ / cos θ = -√3.

4. sin θ = -1 at θ = 3π/2. Therefore, cos θ = 0. tan θ = sin θ / cos θ, so tan θ is undefined.

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3 years ago

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erik [133]

Answer: 54:150

Step-by-step explanation:

The ratio of bass to catfish in a pond can be written as 54:150

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3 years ago

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alexgriva [62]

Answer:

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Step-by-step explanation:

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