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
kvv77 [185]
3 years ago
6

Unit 6 Practice Test: Arc Length and Sectors and Inscribed Angles

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer: (1) Angle A measures 98° (∠A = 98°)

(2)

(3) 51.59 degrees

(4) 180.86 m

(5) 47.1 square ft

(6) 181.42 square mm

Step-by-step explanation: (1) In the quadrilateral ABCD, angle C is opposite angle A and angle C measures 82 degrees, therefore angle A equals;

Angle A = 180 - angle C (Opposite angles in a cyclic quadrilateral sum up to 180)

Angle A = 180 - 82

Angle A = 98°

(3) If the radius of a circle is 8 cm and the length of the intercepted arc is 7.2 cm, the central angle can be calculated as follows;

Length of an arc = (∅/360) x 2πr

(Length of arc x 360)/2πr = ∅

(7.2 x 360)/2 x 3.14 x 8 = ∅

2592/50.24 = ∅

51.59

The central angle measures 51.59° (to the nearest hundredth)

(4) In a circle with radius 36 m and central angle of 288 degrees, the length of the arc is measured as,

Length of an arc = (∅/360) x 2πr

Length of arc = (288/360) x 2 x 3.14 x 36

Length of arc = 0.8 x 2 x 3.14 x 36

Length of arc = 180.864

The length of the arc is 180.86 m (to the nearest hundredth)

(5) Where the sector of a circle has a radius of 6 ft and a central angle of 150 degrees, the area of the sector is give as follows;

Area of a sector = (∅/360) x πr²

Area of sector = (150/360) x 3.14 x 6²

Area of sector = (5/12) x 3.14 x 36

Area of sector = 5 x 3.14 x 3

Area of sector = 47.1

Therefore the area of the sector is 47.1 square feet.

(6) If a circle has a central angle of 52 degrees and a diameter of 40 mm (radius equals 40/2 which is 20 mm) then the area of the sector would be derived as follows;

Area of a sector = (∅/360) x πr²

Area of a sector = (52/360) x 3.14 x 20²

Area of a sector = (13/90) x 3.14 x 400

Area of a sector = (13 x 3.14 x 40)/9

Area of a sector = 1632.8/9

Area of a sector = 181.422

Therefore the area of the sector is 181.42 square mm (to the nearest hundredth)

You might be interested in
Identify this conic section.
BaLLatris [955]
Solve for x or y or 1
solving for y
divide both sides by x
y=25/x
not a line because x has t ohave exponent of 1, this one is y=25x^-1

ok, solve for something else
solve for 1
xy/25=1
this doesn't fit into the standard forms of any of the conic sections
if we were to subsitute points we would see it is a hyperbola that is diagonal with the x and y axises as assemtots

it is a hyperbola
5 0
3 years ago
Phil has to put the greatest number of apples and oranges in each of box so each box have the same number of apples and oranges
Andrews [41]
Least common multiple
4 0
3 years ago
Find the area of the triangle (but identify which formula to use). Please help!
GalinKa [24]
A.) A= (1/2)absinC
b.) sinA/a, sinB/b, sinC/c
sin100/42, sin25/b, sinC/c
use these two fractions.
sin100/42= sin25/b
cross multiply next
b×sin100= 42×sin25
then divide on both sides by sin100
b=18
c.)measurementofA+measurementofB+measurementofC=180
100+25+C=180
125+C=180
-125 -125
The measurement of angle C is 55 degrees.
d.)A=(1/2)42×18×sin55
= 21×18×sin55
A =309.6 units squared

7 0
3 years ago
Can someone answer this??
Yuri [45]

Answer:

B. -0.4 ÷ 0.25

I hope it helps..

8 0
3 years ago
On a coordinate plane the vertices of a triangle are A(-1, 4), B(-3,2), and C(0, -1). Find the coordinates of the
Llana [10]

Answer:

B) (-2,3)

Step-by-step explanation:

Graph all your points. No count the distance from point A to B. divide in half .

5 0
3 years ago
Other questions:
  • Determine the equation for a line perpendicular to y=1/3+4 and has an x-intercept of 2.
    7·2 answers
  • A rhombus has coordinates A(-6, 3), B(-4, 4), C(-2, 3), and D(-4, 2). What are the coordinates of rhombus A′B′C′D′ after a 90° c
    13·2 answers
  • one satellite radio station service charges $10 per month plus an activation fee of $20. A second service charges $11 per month
    10·1 answer
  • Solve the system of linear equations using elimination. −2x − y = 3 −9x − y = 17
    7·2 answers
  • 10 = - 1/4x +12 <br><br> Answer pls
    11·2 answers
  • Help me now ASAP!!! The question is on the picture!!!!
    8·1 answer
  • The pattern for the kite calls for 169 square inches of fabric. What is the
    5·1 answer
  • Can someone help me with my homework
    9·2 answers
  • A baker is weighing her ingredients to make cheese bread. She has 710 grams of flour, 225 grams of sugar, and 400 grams of chees
    7·1 answer
  • Can someone plz help with this?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!