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
wolverine [178]
3 years ago
12

Show Workings.Question is in attached image.​

Mathematics
2 answers:
Anna35 [415]3 years ago
6 0

Answer:

<h3>Question 1</h3>

a)

d = 40 cm ⇒ r = 20 cm

Let the perpendicular distance is x.

Connecting the center with  the chord we obtain a right triangle with hypotenuse of r and leg x with adjacent angle of 70/2 = 35°.

<u>From the given we get:</u>

  • x/20 = cos 35°
  • x = 20 cos 35°
  • x = 16.383 cm (rounded)

b)

The minor arc is 70° and r = 20

<u>The length of the arc is:</u>

  • s = 2πr*70/360° = 2*3.142*20*7/36 = 24.437 cm (rounded)
<h3 /><h3>Question 2</h3>

Since XZ is diameter, the opposite angle is the right angle, so the triangle XYZ is a right triangle.

  • r = 15/2 cm ⇒ XZ = d = 2r = 2*15/2 = 15 cm

<u>Find the missing side, using Pythagorean:</u>

  • YZ = \sqrt{XZ^2 - XY^2} = \sqrt{15^2-12^2} = \sqrt{81} = 9

<u>The area of the triangle:</u>

  • A = 1/2*XY*YZ = 1/2*12*9 = 54 cm²

Mashutka [201]3 years ago
3 0

Answer:

A.]A chord of a circle of diameter 40 cm subtends an angle of 70° at the centre of the circle.

Solution given;

diameter [d]=40cm

centre angle [C]=70°

(a) Find the perpendicular distance be tween the chord and the centre of the circle.

Answer:

we have

the perpendicular distance be tween the chord and the centre of the circle=[P]let

we have

P=d Sin (C/2)

=40*sin (70/2)

=22.9cm

<u>the</u><u> </u><u>perpendicular distance be tween the chord and the centre of the </u><u>circle</u><u> </u><u>is</u><u> </u><u>2</u><u>2</u><u>.</u><u>9</u><u>c</u><u>m</u><u>.</u>

(b) Using = 3.142, find the length of the minor arc.

Solution given;

minor arc=\frac{70}{360}*πd=\frac{7}{36}*3.142*40

=<u>2</u><u>4</u><u>.</u><u>4</u><u>4</u><u>c</u><u>m</u>

<u>the length of the minor arc.</u><u> </u><u>is</u><u> </u><u>2</u><u>4</u><u>.</u><u>4</u><u>4</u><u>cm</u><u>.</u>

B.]In the diagram, XZ is a diameter of the cir cle XYZW, with centre O and radius 15/2 cm.

If XY = 12 cm, find the area of triangle XYZ.

Solution given:

XY=12cm

XO=15/2cm

XZ=2*15/2=15cm

Now

In right angled triangle XOY [inscribed angle on a diameter is 90°]

By using Pythagoras law

h²=p²+b²

XZ²=XY²+YZ²

15²=12²+YZ²

YZ²=15²-12²

YZ=\sqrt{81}=9cm

:.

base=9cm

perpendicular=12cm

Now

Area of triangle XYZ=½*perpendicular*base

=½*12*9=54cm²

the area of triangle XYZ is <u>5</u><u>4</u><u>c</u><u>m</u><u>²</u><u>.</u>

You might be interested in
Find the measure of the indicated angle to the nearest degree
Alisiya [41]

Answer:

The answer to your question is below

Step-by-step explanation:

14) sin Ф = 32/33

    sin Ф = 0.9697

        Ф = 75.86°

15) sin Ф = 16/36

     sin Ф = 0.444

          Ф = 26.39°

16) sin Ф = 29/36

     sin Ф = 0.806

          Ф = 53.66°

17) cos Ф = 11/34

    cos Ф = 0.324

          Ф = 71.12°

18) sin Ф = 21/40

     sin Ф = 0.525

           Ф = 31.67°

19) cos Ф = 6/14

     cos Ф = 0.429

          Ф = 64.62°

20) cos Ф = 38/39

      cos Ф = 0.974

            Ф = 13°

3 0
3 years ago
Please Help I Have No Idea What They Talking Bout
Black_prince [1.1K]
Macroeconomics focuses on C) government level. 
Macroeconomics is a branch of economics dealing with the performance, structure, behavior, and decision-making of an economy as a whole rather than individual markets. 
8 0
3 years ago
What is the standar form i dont understand
Bond [772]
The answer should be C
8 0
3 years ago
Find the domain and range of the exponential function h(x) = 125x.
Yanka [14]
H would decrease either way because h is a variable for a certain number. that number would usually be divided from both sides. you would be eliminating x from the equation. 125x/h. by dividing you are creating a smaller number. by dividing you are decreasing. you're welcome. :)
8 0
3 years ago
leonardo recorded his speed while skateboarding and determined he was traveling 18 feet per second. how many feet could he trave
Effectus [21]

All you need to do is multiply 18*60 = 1080  feet per minute, which is really fast.

7 0
3 years ago
Other questions:
  • What is the value of y?
    11·2 answers
  • -3 and 12 find the midpoint?​
    15·1 answer
  • The volume of a rectangular prism is given by the formula V=lwh, where I is the length of the prism, w is the width, and h is th
    15·2 answers
  • If K is the midpoint of JL , JK = 6x + 11 and KL = 16x +1, find JL.<br> Pls I need help
    9·1 answer
  • the density of pure gold 1,204 pounds per cubic foot? how many cubic feet is 481.6lbs of pure gold?
    11·1 answer
  • Name the congruent angles.
    12·1 answer
  • a real estate agent earns a commission of 4% of the selling price for each house he sells. How expensive of a house does he have
    5·1 answer
  • Y - 7 = 21 Your answer should be the value for the variable y.
    11·1 answer
  • Which is an example of an expression?<br> O 3,2 – 4.<br> O a = 144<br> 0 10 = 2.5<br> O 2 &lt; 52
    7·1 answer
  • Please answer this question for me. I’ll mark you as the brainliest.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!