1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tankabanditka [31]
2 years ago
7

Genuinely confused, how would you solve this? (will mark for brainliest!!)

Mathematics
1 answer:
Yanka [14]2 years ago
3 0

Answer:

Length of the bold sector: 40.3ft

Area of the bold sector: 282.08

Step-by-step explanation:

Finding the sector length: Assuming that pi=3.14, the diameter is 87.92 ft. The ratio of the bold section to the whole circumference is 165 to 360. So you need to multiply the circumference by the ratio. (87.92 x 165)/360=40.3

Finding the sector area: Assuming that pi=3.14, the area of the circle is 615.44 sq. ft. The ratio of the sector area to the area of the whole circle is 165:360. (615.44 x 165)/360=282.08, rounded to the nearest 100th.

You might be interested in
Find each difference. If you get stuck, consider drawing a number line diagram.
lara [203]
1)5
2)-5
3) 13
4)-5
5)-13
6)13
7)5
8)-13
8 0
2 years ago
A rectangular piece of stained glass has the dimensions shown in the diagram. What is the probability that a random leaf that la
weeeeeb [17]

Answer:

The correct option is D) \frac{2}{3}

Step-by-step explanation:

Consider the provided figure.  

We need to find the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid.

For this first find the total area as shown:

The given figure is a rectangle.

The area of rectangle is l\times b

Where, l = 6 cm + 3 cm = 9 cm and b = 5cm

Therefore the area of the rectangle is;

Area of rectangle = 9cm\times 5cm=45cm

Now find the area of trapezoid.

The area of trapezoid is: \frac{a+b}{2}h

Where h is the height and a and b are the parallel sides.

Area of trapezoid = \frac{9+3}{2}\times 5=30

Thus, the area of trapezoid is 30 cm.

Therefore, the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid is:

Probability=\frac{\text{Area of trapezoid}}{\text{Area of rectangle}}

Probability=\frac{30}{45}=\frac{2}{3}

Hence, the correct option is D) \frac{2}{3}

3 0
3 years ago
In the figure below, Ray BD bisects angle ABC
viva [34]

Answer: 65 and 130

Step-by-step explanation:

4 0
3 years ago
Determine the range
irina [24]

Answer:

-4, 2 i don't really know what to do

Step-by-step explanation:

7 0
2 years ago
If (3-4i) (x+yi) = 1 + 0i. The value of x and y is
Black_prince [1.1K]

Step-by-step explanation:

\textsf{\large{\underline{Solution}:}}

<h3><u>Given That:</u></h3>

\rm: \longmapsto (3 - 4i)(x + iy) = 1 + 0i

\rm: \longmapsto 3(x + iy)  - 4i(x + iy)= 1 + 0i

\rm: \longmapsto 3x + 3iy - 4ix +4y= 1 + 0i

<u>On rearranging the terms, we get:</u>

\rm: \longmapsto (3x  + 4y)+ (3y - 4x)i =  1 + 0i

<u>Comparing both sides, we get:</u>

\rm: \longmapsto 3x  + 4y = 1 --- (i)

\rm: \longmapsto 3y - 4x = 0 --- (ii)

<u>Multiplying (i) by 4, we get:</u>

\rm: \longmapsto 12x  + 16y = 4--- (iii)

<u>Multiplying (ii) by 3, we get:</u>

\rm: \longmapsto 9y - 12x = 0 --- (iv)

<u>Adding equations (iii) and (iv), we get:</u>

\rm: \longmapsto25y = 4

\rm: \longmapsto y =\dfrac{4}{25}

<u>From (ii), we get:</u>

\rm: \longmapsto 3y - 4x = 0

\rm: \longmapsto 3y  = 4x

\rm: \longmapsto x =  \dfrac{3}{4} y

\rm: \longmapsto x =  \dfrac{3}{4}  \times  \dfrac{4}{25}

\rm: \longmapsto x =  \dfrac{3}{25}

<u>Therefore:</u>

\rm: \longmapsto (x,y)= \bigg(  \dfrac{3}{25}, \dfrac{4}{25} \bigg)

★ <u>Which is our required answer.</u>

\textsf{\large{\underline{More To Know}:}}

\rm1.\  i^{4n} = 1

\rm2. \ i^{4n+1} = i

\rm3.\  i^{4n+2} = -1

\rm4.\ i^{4n+3} = -i

4 0
2 years ago
Other questions:
  • Which of the following is not a valid conversion factor?
    14·2 answers
  • hey guys i need help i don't understand what a reciprocal means i know i am in middle school but i learned this in 4th grade i a
    12·1 answer
  • Proportions in Triangles (5)
    11·1 answer
  • josh's web site had 805,289 visitors. Diego's site had 784,976 visitors. How many more visitors did josh's sit have than Diego's
    10·1 answer
  • A construction crew can dig a pit at a rate of 1914 meters per hour. How deep can they dig in 6 hours?
    8·1 answer
  • Using Different Representations
    15·1 answer
  • Question below in image
    15·1 answer
  • HELPPP!!!!<br><br> Complete the​ two-column proof by filling in the blanks.
    9·1 answer
  • Find the median for 8, 11, 6, 14, x, 13, and 11
    12·1 answer
  • Will is buying a house for $185,000. He is financing $165,000 and obtained a 30-year, fixed-rate mortgage with a 6.725% interest
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!