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aleksley [76]
2 years ago
12

Work out the circumference amd area of tne circular peice of glass needed for the top of a display cabinet

Mathematics
1 answer:
GarryVolchara [31]2 years ago
8 0

Answer:

The area of a circle with radius 0.2865 is 0.2579

Step-by-step explanation:

Area of a circle in terms of radius:

Area = π·r2 = 3.14·0.292 = 0.26 square meters(*)

Area of a circle in terms of diameter:

Area = π·(d2)2 = 3.14·(0.572)2 = 3.14·(0.29)2 = 0.26 square meters(*)

Area of a circle in terms of circumference:

Area = C2

4π

= 1.82

4π

= 3.24

(4·3.14)

= 3.24

12.56

= 0.26 square meters(*)

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Why do whole numbers raised to an exponent get greater while fractions raised to an exponent get smaller
kolezko [41]
An exponent tells how many times a number is multiplied by it self . with whole numbers if you keep multiplying them they have to increase . taking a half of anythink  makes it smaller .
7 0
4 years ago
One light-year is equal to 9,460,600,000,000 kilometers. What is this distance represented in scientific notation​
Vsevolod [243]

Answer:

9.4606 × 10^12

Step-by-step explanation:

7 0
3 years ago
one angle of a linear pair is 10 more than two thirds the other angle. find the measure if both angles
BigorU [14]

Answer:

One Angle = 110°

Other Angle = 70°

Step-by-step explanation:

A linear pair means that two angles are in a straight line (or, a straight angle).

A straight line is 180 degrees.

THey are supplementary.

We can say one angle is "a" and another one is "b".

<em>One angle is 10 MORE THAN 2/3rds of the other, we can write:</em>

<em>a=\frac{2}{3}b+10</em>

<em />

<em>Also, since they are supplementary (add up to 180), we can write:</em>

<em>a + b = 180</em>

<em />

We can now substitute 1st equation in this one and find b:

a+b=180\\(\frac{2}{3}b+10)+b=180\\\frac{2}{3}b+b=180-10\\\frac{5}{3}b=170\\b=\frac{170}{\frac{5}{3}}\\b=170*\frac{3}{5}\\b=110

Since a + b = 180, we can write:

a + 110 = 180

so,

a = 180 - 110

a = 70

Thus,

One Angle = 110°

Other Angle = 70°

8 0
3 years ago
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UkoKoshka [18]
-9 + pi will be irrational becasue it contains pi
23.2 repeating + sqrt 16 is rational because repeating numbers are rational and sqrt 16 is rational.
4 0
2 years ago
Joe's annual income has been increasing in the same dollar amount. The first year his income was $15,200, and the 4th year his i
lidiya [134]

Answer:

Therefore 6th year his income was $19,700.

Step-by-step explanation:

Given, Joe's annual income has been increasing in some dollar amount . The first year his income was $15,200 and 4th  year his income was $17,900.

A=$17900, P= $15,200 and n = 3 year

A= P(1+\frac{r}{100} )^n

\Leftrightarrow 17900=15200(1+\frac{r}{100})^3

\Leftrightarrow (1+\frac{r}{100})^3=\frac{17900}{15200}

\Leftrightarrow (1+\frac{r}{100})=(\frac{17900}{15200})^{\frac{1}{3} }

\Leftrightarrow \frac{r}{100}=(\frac{17900}{15200})^{\frac{1}{3} }-1

\Leftrightarrow r=5.60

Let  t^{th} year Joe's income was $19,700.

\therefore 19700=15,200(1+\frac{5.60}{100} )^{t-1}

\Leftrightarrow 1.296= (1+0.056)^{t-1}

\Leftrightarrow 1.296= (1.056)^{t-1}

\Leftrightarrow  log(1.296)= (t-1)log(1.056)

\Leftrightarrow  \frac{log(1.296)}{log(1.056)}= (t-1)

\Leftrightarrow t-1= 4.75

\Leftrightarrow t= 4.75+1

\Leftrightarrow t = 5.75 ≈6

Therefore 6th year his income was $19,700.

8 0
3 years ago
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