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3 years ago

In the following figure, EM is tangent to circle A at point C.

Mathematics

1 answer:

Sphinxa [80]3 years ago

6 0

Answer:

A must be true

Step-by-step explanation:

Since ABE and angle ACE are right angles the rest of the 2 angles are right angles either therefore EC = AB

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Mr. Robison is charged 25w - 8 dollars to mow his lawn each month, where w is the number of weeks in the month. How much will Mr

Anika [276]

Answer:

B:117

Step-by-step explanation:

Substitute w for 5

25*5=125

125-8=?

117

4 0

2 years ago

Write (8a^-3)^-2/3 in a simplest form.

MrRa [10]

For this case we have the following expression:

$(8a^{-3})^{-\frac{2}{3}}$

For power properties we have:

$(8^{-\frac{2}{3}} a^{-3*-\frac{2}{3}})$

Rewriting the exponents of the expression we have:

$(8^{-\frac{2}{3}} a^{3*\frac{2}{3}})$

$(8^{-\frac{2}{3}} a^2)$

$(\frac{1}{8^{\frac{2}{3}}} a^2)$

Using the cubic root we have:

$(\frac{1}{\sqrt[3]{8^2}} a^2)$

$(\frac{1}{\sqrt[3]{64}} a^2)$

$(\frac{1}{\sqrt[3]{4^3}} a^2)$

Simplifying the expression we have:

$(\frac{1}{4} a^2)$

Answer:

The equivalent expression is given by:

$(\frac{1}{4} a^2)$

8 0

2 years ago

Read 2 more answers

What is 963 divided by 3

kolbaska11 [484]

963/3 = 321 Recheck = 321 * 3 = 963 Answer = 321

8 0

2 years ago

Read 2 more answers

How do you write the inequality -<br> "sixteen is less than a number"

marshall27 [118]

Answer:

16<a number

Step-by-step explanation:

This is the less than symbol: <

16 is less than ( < ) a number

Lets put "a number" as x

16<x

8 0

3 years ago

Read 2 more answers

One side of a triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate of 2 cm/s. if the area of the

LenKa [72]

Use the attached figure to guide yourself through the explanation. In the figure:
$a=21cm, b=36cm, \widehat{C}=\frac{\pi}{6}$ .
We know that:
$\frac{da}{dt}=9,\frac{db}{dt}=-2$
Also remmeber that the area of a triangle is:
$A=\frac{Base\times Height}{2}$
The hegiht is shown in the figure in red, the base is just the b side.
Using the angle C the area of the triangle is:
$A=\frac{1}{2}ab\cos(\widehat{C})\implies2A=ab\cos(\widehat{C})$
Now taking the derivative of the area 2A with respect to t we have:
$2\frac{dA}{dt}=b\cos(\widehat{C})\frac{da}{dt}+a\cos(\widehat{C})\frac{db}{dt}-ab\sin(\widehat{C})\frac{d\widehat{C}}{dt}$

Replacing with the right values:
$\frac{dA}{dt}=0\\
\\
\cos({\widehat{C}})=\frac{\sqrt{3}}{2}\\ \\
\sin({\widehat{C}})=\frac{1}{2}\\ \\

$
yields:
$0=36\frac{\sqrt{3}}{2}.9-21\frac{\sqrt{3}}{2}.2-\frac{1}{2}.21.36.\frac{d\widehat{C}}{dt}\implies \frac{d\widehat{C}}{dt}=\frac{141}{378}\sqrt{3}$

5 0

3 years ago