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2 years ago

Find the area of the semi circle with Diameter of 4

Mathematics

1 answer:

daser333 [38]2 years ago

6 0

Answer:

Find the area of the semi circle with Diameter of 4

2π

6.3

Step-by-step explanation:

The area formula for semicircle is (πr^2)/2.

r=2 because radius is half of diameter.

(π(2)^2)/2, 2 squared= 4 and half of it is 2. = 2π

2π would round to the nearest tenths is 6.3.

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Find the equation of the line that is parallel to the given line and passes through the given point

Sati [7]

Answer:

$\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}$

Step-by-step explanation:

$\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}$

$\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}$

$x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1$

$\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4$

5 0

3 years ago

Please explain step by step why x=10.

Travka [436]

Because if X is ten then the equation is complete

7 0

2 years ago

It's 9 4/5 miles from Justin's house to the art museum the distance to the history museum is 9/10 this far

Leno4ka [110]

The history museum is less that 9 4/5 miles. 9/10 means that the 9 3/4 mile is broken up into 10 equal parts and the distance to the museum is only 9 of those parts. 9 3/4 (9.8) divided by 10 equals 98/100 (.98)
98/100 x 9 = 882/100 or 8.82

Justin's house is 8.82 miles from the museum.

6 0

3 years ago

Read 2 more answers

Miles earns a 6% commission on each vehicle

slamgirl [31]

The total amount of his commission for these vehicles is $ 1686

Solution:

Given that,

Miles earns a 6% commission on each vehicle he sells

Therefore,

Commission rate = 6 %

Today he sold a truck for $18,500 and a car for $9,600

Therefore,

Commission amount = 6 % of (18500 + 9600)

Commission amount = 6 % of 28100

Calculate the above equation

$Commission\ amount = 6 \% \times 28100\\\\Commission\ amount = \frac{6}{100} \times 28100\\\\Commission\ amount = 6 \times 281 = 1686$

Thus the total amount of his commission for these vehicles is $ 1686

3 0

3 years ago

Evaluate the expression for the given values. mx — y when m = 5, x = 3, and y =8

Serhud [2]

Mx - y
5 times 3 - 8
15 - 8
=
7

7 0

2 years ago