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3 years ago

3.25 repeating as a mixed number (25 repeats)

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

3 0

Answer:

3.25 = 3 1/4

Step-by-step explanation:

The decimal 3.25 would be written a couple of different ways as a fraction: 3.25 = 3 1/4 as a mixed number. 3.25 = 13/4 as an improper fraction.

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Romashka [77]

Answer:

x=7

Step-by-step explanation:

x+15=2x+8

x-x+15=2x-x+8

15=x+8

x=7

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3 years ago

I need help with this problem. Given: BC = 10 inches AC = √50 inches m∠CBD = 60° m∠CAD = 90° Calculate the exact area of the sha

Nikitich [7]

Answer:

Area of the shaded region = 23.33 in²

Step-by-step explanation:

Area of a sector = $\frac{\theta}{360}(\pi r^{2})$

Where θ = Central angle subtended by an arc

r = radius of the circle

Area of the sector BCD = $\frac{60}{360}(\pi) (10^{2})$

= 52.36 in²

Area of equilateral triangle BCD = $\frac{\sqrt{3} }{4}(\text{Side})^2$

= $\frac{\sqrt{3} }{4}(10)^2$

= $25\sqrt{3}$ in²

= 43.30 in²

Area of the shaded portion in ΔBCD = 52.36 - 43.3

= 9.06 in²

Area of sector CAD = $\frac{90}{360}(\pi)(\sqrt{50})^2$

= 39.27 in²

Area of right triangle CAD = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(\text{AC})(\text{AD})$

= $\frac{1}{2}(\sqrt{50})(\sqrt{50})$

= 25 in²

Area of the shaded part in the ΔACD = 39.27 - 25

= 14.27 in²

Area of the shaded part of the figure = 9.06 + 14.27

= 23.33 in²

8 0

3 years ago

Can anyone help me solve this

kumpel [21]

Answer:

The answer to your question is a = 40, b = 5/8

Step-by-step explanation:

Data

ab = 25

log₄a - log₄b = 3

Process

1.- Use the law log of a quotient

log₄ a/b = 3

2.- Convert the log to an exponent

a/b = 4³

a/b = 64 Equation l

ab = 25 Equation ll

3.- Solve equation l for a

a = 64b

4.- Substitute in equation ll

(64b)b = 25

-Simplify

64b² = 25

-Solve for b

b² = 25/64

b = 5/8

5.- Substitute the value of b to find a

a = 64(5/8)

-Simplification

a = 40

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