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2 years ago

What is the area of the shaded region?

Mathematics

2 answers:

serg [7]2 years ago

7 0

Answer:

(25\pi\ -24)\ cm^{2} C

Step-by-step explanation:

on e2020

azamat2 years ago

5 0

Answer:

$(25\pi\ -24)\ cm^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of the two isosceles triangles

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

where r is the radius of the circle

In this problem we have

$r=5\ cm$

substitute

$A=\pi (5)^{2}$

$A1=25\pi\ cm^{2}$

Find the area of the two triangles

The area of the two isosceles triangles is equal to

$A=2[\frac{1}{2}bh]=bh$

we have

$b=6\ cm$

$h=5-1=4\ cm$

substitute

$A2=6*4=24\ cm^{2}$

Find the area of the shaded region

$A1-A2=(25\pi\ -24)\ cm^{2}$

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1<br>What are numbers when Rs 880 is divided in to the ratio of 1/5:1/6

Scrat [10]

Answer:

733.3

Step-by-step explanation:

The number is

880÷1/5:1/6

880÷(1/5×6)

880÷6/5

880×5/6

440×5/3

2200/3

733.3

8 0

2 years ago

A telephone company in germany charges 0.12 euro per minute to call the US after a connection fee of 1.50 euro what is the total

Nana76 [90]

Answer:

Total minutes = 47 Minutes

Step-by-step explanation:

A telephone company in germany charges 0.12 euro per minute to call the US after a connection fee of 1.50 euro

Expressing the statement in mathematical terms;

Cost = 0.12x + 1.5 where x represens minutes

if the cost of the call was 7.14 euro, total minutes = ?

7.14 = 0.12x + 1.5

7.14 - 1.5 = 0.12x

5.64 = 0.12x

x = 5.64 / 0.12 = 47

Total minutes = 47 Minutes

8 0

2 years ago

There was a sample of 650 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 7.8% eac

Nimfa-mama [501]

Answer:

y = 650·0.922^t

Step-by-step explanation:

At the end of each year, 92.2% of the amount at the beginning of the year remains. That is, the beginning amount is multiplied by 0.922. The exponent t in 0.922^t tells how many times (years) that multiplication has taken place. At the end of t years, the amount remaining in milligrams (y) is ...

y = 650·0.922^t

5 0

3 years ago

1. The prism-shaped roof has equilateral triangular bases. Create an equation that models the height of one of the roof's triang

Mandarinka [93]

1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythegorean theorem, as shown in the picture, the height is $\frac{ \sqrt{3} }{2} a$

2. if a a=25 ft, then the height is $\frac{ \sqrt{3} }{2} a=\frac{ \sqrt{3} }{2} *25= \frac{1.732}{2}*25= 21. 7$ (ft)

3. consider picture 2. Let the length of the roof be l feet.

one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l
the lateral Area of the roof is 3a*l

the area of the equilateral surfaces is $2*( \frac{1}{2} *a* \frac{ \sqrt{3} }{2}a )=\frac{ \sqrt{3} }{2} a^{2}$

so the total area of the roof is $\frac{ \sqrt{3} }{2} a^{2} +3al$

4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.
So the total area found previously will be decreased by al

5. so the area now is $\frac{ \sqrt{3} }{2} a^{2} +2al$

6. now a=25 and l=2a=50

Area= $\frac{ \sqrt{3} }{2} a^{2} +2al=\frac{ \sqrt{3} }{2} * 25^{2}+2*25*50=25 ^{2} (\frac{ \sqrt{3} }{2} +4)=625*4.866$

=3041.3 (ft squared)

7 0

3 years ago

Read 2 more answers

Your mother takes you to your grandparents’ house for dinner. She drives 60 minutes at a constant speed of 40 miles per hour. Sh

Tomtit [17]

Answer:

a) 75 miles

b) 90 minutes

c) His constant speed was higher for a longer period of time

Step-by-step explanation:

a) 70 / 2 = 35

40 + 35 = 75

b) 60 + 30 = 90

4 0

2 years ago