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3 years ago

5

Find the area of the shaded region. Leave the answer in terms of

title=" \pi " alt=" \pi " align="absmiddle" class="latex-formula"> and in simplest radical form

1 answer:

mash [69]3 years ago

6 0

16^2 - π8^2
256 - 64π

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A mechanic bought bolts of three sizes. The smallest bolts cost 15 cents each. The next largest sized bolts cost 20 cents each,

erica [24]

He spent the same amount on each bolt size...so we need to find the lowest common multiple of 0.15, 0.20, and 0.30....and that would be 0.60

so he spent 0.60 on each bolt

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3 years ago

A bundle of rope holds 12 feet of rope. how many meters of rope is in a bundle? (1 ft=0.31m)

irga5000 [103]

Answer:

C

Step-by-step explanation:

7 0

3 years ago

How many real solutions does this system of equations have? x² + y² = 25 and x-3y=15

olya-2409 [2.1K]

$x - 3y = 15 \\ x = 15 + 3y$

$(15 + 3y) {}^{2} + y {}^{2} = 25$

$225 + 90y + 9y {}^{2} + y {}^{2} = 25$

$10y {}^{2} + 90y + 200 = 0$

$y {}^{2} + 9y + 20 = 0$

$(y + 4)(y + 5) = 0$

$y = - 4 \: \: \: \: \: \: y = - 5$

$for \: y= - 4 \\ x = 15 + 3( - 4) = 15 - 12 = 3$

$for \: y = - 5 \\ x = 15 + 3( - 5) = 15 - 15 = 0$

3 0

2 years ago

valkas [14]

Answer:

$y = -\frac{5}{2}x + 6$

Step-by-step explanation:

Using a point (4, -4) and the slope of the line that passes through it, m = -⁵/2, we can generate an equation by using the point-slope form equation of a line given as y - b = m(x - a).

Where,

(a, b) = (4, -4)

m = -⁵/2

Plug in the values

y - (-4) = -⁵/2(x - 4)

y + 4 = (-5x + 20)/2

Multiply both sides by 2

2y + 8 = -5x + 20

Subtract both sides by 8

2y = -5x + 20 - 8

2y = -5x + 12

Divide both sides by 2

y = -⁵/2x + 12/2

$y = -\frac{5}{2}x + 6$ (equation in slope-intercept form)

3 0

3 years ago

Find the value of each variable. Write your answer in simplest radical form.

san4es73 [151]

Answer:

$y=4\sqrt{3}$

$x=2\sqrt{21}$

Step-by-step explanation:

The diagram is shown in the attachment.

By the altitude -leg rule :

$\frac{14-8}{y}=\frac{y}{8}$

This implies that:

$\frac{6}{y}=\frac{y}{8}$

By cross multiplication:

$y^2=6*8\\\implies y^2=16*3$

Take square root to get:

$y=\sqrt{16*3}$

$y=4\sqrt{3}$

Using the Pythagoras Theorem:

$x^2=6^2+(\sqrt{48})^2$

$x^2=36+48$

$x^2=84$

$x=2\sqrt{21}$

7 0

3 years ago