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
aliina [53]
3 years ago
13

PLEASE HELP ME WITH THIS MATH!!!!!!!!!. pLeAsE i ReAlLy NeEd SoMe HeLp

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0
Part 1) we know that
m∠5=44°    m∠11=86°
m∠2=m∠5------> by vertical angles
m∠2=44°
m∠13=m∠11------> by vertical angles
m∠13=86°
m∠12+m∠13=180°-----> supplementary angles
m∠12=180-86-----> m∠12=94°
m∠14=m∠12----> by vertical angles
m∠14=94°
m∠1=m∠11----> by corresponding angles
m∠1=86°
m∠4=m∠1----> by vertical angles
m∠4=86°
m∠2+m∠1+m∠6=180
m∠6=180-(86+44)----> 50°
m∠6=50°
m∠3=m∠6----> by vertical angles
m∠3=50°
m∠8=m∠3----> by corresponding angles
m∠8=50°
m∠8+m∠7=180°-----> supplementary angles
m∠7=180-50----> 130°
m∠7=130°
m∠10=m∠6----> by corresponding angles
m∠10=50°
m∠10+m∠9=180°-----> supplementary angles
m∠9=180-50-----> 130°
m∠9=130°

the answers Part 1) are
m∠1=86°
m∠2=44°
m∠3=50°
m∠4=86°
m∠5=44° 
m∠6=50°
m∠7=130°
m∠8=50°
m∠9=130°
m∠10=50°
m∠11=86°
m∠12=94°
m∠13=86°
m∠14=94°

Part 2) 
a) what is m∠TPR?
in the right triangle PTR 
m∠PTR+m∠TPR+m∠TRP=180° ( the sum of internal angles of triangle is equal to 180 degrees)
m∠PTR=30°
m∠TRP=90°
so
m∠TPR=180-(90+30)----> 60°

the answer Part 2a) is 
m∠TPR=60°

b) what is the length in inches of segment PR?
in the right triangle PTR 
sin 30=PR/TP-----> PR=TP*sin 30-----> PR=14*(1/2)----> 7 in

the answer Part 2b) is
PR=7 in

c)  what is the length in inches of segment TR?
in the right triangle PTR 
cos 30=TR/PT-----> TR=PT*cos 30-----> TR=14*(√3/2)---> TR=7√3 in

the answer Part 2c) is
TR=7√3 in

d)  what is the length in inches of segment PQ?
in the right triangle PQR
PR=7 in
RQ=PR-----> by angle 45°
so
RQ=7 in
applying the Pythagoras Theorem
PQ²=RQ²+PR²-----> 7²+7²-----> PQ²=98-----> PQ=√98 in---> PQ=7√2 in

the answer Part 2d) is
PQ=7√2 in

Part 3) Patrice buys a block of wax in the shape of a right rectangular prism. The dimensions of the block are 20 cm by 9 cm by 8 cm.
  <span><span>(a)   </span>What is the volume of the block?

volume of the prism=20*9*8-----> 1440 cm³

the answer Part 3 a) is
the volume of the block is 1440 cm³
<span>
Patrice melts the wax and creates a candle in the shape of a circular cylinder that has a diameter of 10 cm and a height of 15 cm.<span>(b)   </span>To the nearest centimeter, what is the volume of the candle?
</span></span>volume of a cylinder=pi*r²*h
diameter=10 cm
radius r=10/2----> 5 cm
h=15 cm
volume of a cylinder=pi*5²*15----> 1177.5 cm³-----> 1178 cm³

the answer Part 3b) is
the volume of the candle is 1178 cm³

<span>Patrice decides to use the remaining wax to create a candle in the shape of a cube.<span>(c)   </span>To the nearest centimeter, what is the length of the side of the cube?
</span>
the remaining wax=volume of the prism-volume of a cylinder
=1440-1178-----> 262 cm³

volume of a cube=b³
where b is the length side of the cube
262=b³-------b=∛262-----> b=6.40 cm-----> b=6 cm

the answer Part 3c) is
the length of the side of the cube is 6 cm
You might be interested in
Can someone answer this question please?
Effectus [21]

Answer:

5+9+-23

Step-by-step explanation:

7 0
2 years ago
A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen f
podryga [215]

There are 52 cards in the deck.

Picking a spade would be 13/52 which reduces to 1/4

After the first card is picked there are 51 cards left, picking a club would be 13/51

Picking both would be 1/4 x 13/51 = 13/204

The answer is C.

3 0
2 years ago
A plane descends 1000 ft while flying<br> 2.7 mi. What is the angle of descent?
Murrr4er [49]

Answer:

4.02°

Step-by-step explanation:

The angle of descent can be obtained using trigonometry ;

Since we have a right angled triangle ;

Let's use the relation:

Sin θ = opposite / hypotenus

Hypotenus = 2.7 miles

1 mile = 5280 feets

2.7 miles = (2.7 * 5280) = 14256 feets

Sin θ = 1000 / 14256

Sin θ = 0.0701459

θ = sin^-1(0.0701459)

θ = 4.0223674

3 0
3 years ago
A movie theatre has 26 rows of seats.There are 18 seats in each row.How many seats are there in all?
lawyer [7]
468 seats is the answer.

26 x 18

or

13 x 2 x 9 x 2

both equal 468
5 0
3 years ago
A researcher randomly surveyed two separate age groups to determine the number of hours teens spend on the Internet each week. T
Papessa [141]
The answer to this is A.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Janine inflated a ball to a radius of 18 cm and another ball to a radius of 12 cm.
    8·2 answers
  • There are 30 students in your class and 16 are boys, write each ratio
    14·2 answers
  • Solve for x.<br> -15x + 60 ≤ 105 AND 14x + 11 ≤ -31
    10·2 answers
  • If you roll a dice and flip a coin, what is the probability you will land on a number greater than 4 and a heads?
    9·1 answer
  • Which relation is a function?
    5·1 answer
  • HELP PLEASE WILL MARK BRANIEST IF RIGHT
    14·1 answer
  • Which of the following statements is NOT true?
    9·1 answer
  • Which one is bigger in 4:7 and 5:8?
    10·2 answers
  • A side of square B is four times the length of a side of square A. How many times greater is the area of square B than the area
    5·1 answer
  • If LM = 7 and LN 7 and LN = 18, what is MN?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!