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professor190 [17]
3 years ago
10

Below is a square which had a rectangle measuring 4 by 3 cm removed find the area of the shaded part

Mathematics
1 answer:
posledela3 years ago
7 0
What is the area of a circle with radius 7.5
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Find the limit, if it exists. (If an answer does not exist, enter DNE.)
lys-0071 [83]

let's change some the 0.1 to say 1/10, just the fraction version of it.

\bf \lim\limits_{x\to \left( \frac{1}{10} \right)^-}~\cfrac{10x-1}{|10x^3-x^2|}\implies \lim\limits_{x\to \left( \frac{1}{10} \right)^-}~\cfrac{10(-x)-1}{10(-x)^3-(-x)^2}

\bf \cfrac{-10x-1}{-10x^3-x^2}\implies \cfrac{-10\left( \frac{1}{10} \right)-1}{-10\left( \frac{1}{10} \right)^3-\left( \frac{1}{10} \right)^2}\implies \cfrac{-1-1}{-\frac{1}{100}-\frac{1}{100}}\implies \cfrac{-2}{\frac{-2}{100}} \\\\\\ \cfrac{~~\begin{matrix} -2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\cdot \cfrac{100}{~~\begin{matrix} -2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 100

when checking an absolute value expression, we do the one-sided limits, since an absolute value expression is in effect a piecewise function with ± versions, so for the limit from the left we check the negative version.

8 0
3 years ago
1. Two segments from P are tangent to circle o. If angle P = 60 and the radius of circle o is
GaryK [48]

Answer:

20.7 ft each

Step-by-step explanation:

See the diagram attached below which describes and represents the information given to us.

The tangents are PA and PB.

Tangents form right angle with the radius of a circle, therefore:

<OBP = <OAP = 90°

Therefore ∆OBP is a right triangle.

m<APO = m<BPO = ½(60) = 30°

Thus, in ∆OBP,

Reference angle = 30°

Side length opposite to reference angle = 12 ft

Adjacent length = length of tangent PB

Apply trigonometric function TOA, to find PB:

Tan 30 = Opp/Adj

Tan 30 = 12/PB

PB × Tan 30 = 12

PB = 12/Tan 30

PB = 20.7846097 ≈ 20.7 ft (nearest tenth)

Length of each segment = 20.7 ft

3 0
3 years ago
10*5+8= what I know the answer but people need points
valentina_108 [34]

Answer:

58

Step-by-step explanation:

lol

use pemdas

50 + 8

58

3 0
4 years ago
Read 2 more answers
I need to come up with a Multi Step Equation for a project in my math class. I only have 3 more days to work on it
Lyrx [107]

You do not say anything about the project.

Here is a multi-step equation for your unknown project:

3x - 5 = 40 + 2x

7 0
3 years ago
In the triangles, BC 2DE and AC FE.
ValentinkaMS [17]
The same as the second answer as the word congruent means to be identical so using this we can infer it’s the same as e I think
3 0
3 years ago
Read 2 more answers
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