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
nicholas has $5000 to invest for retirement. his goal is to have at least $40000 in 30 years. if he finds an account with contin
MakcuM [25]
40000=5000e^30r
40000/5000=e^30r
R=(log(40000/5000)/log(e))/30)*100
R=6.93%
4 0
3 years ago
To find the quotient of 3 divided by one-sixth, multiply 3 by what
Reptile [31]
You have to multiply 3 x 6.

7 0
2 years ago
Read 2 more answers
Which graph correctly shows a population that has reached its carrying capacity?
Alexandra [31]

Answer:

D.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is 10.1x-1.6+44=-7
Annette [7]
Answer x=-9/2. It’s period is times?? I might wrong

5 0
3 years ago
What is the midpoint of RS with endpoints R (-8, 3) and S (9, – 7)?
lubasha [3.4K]

Answer:

Midpoint coordinates are (x,y) = (\frac{1}{2} , -2)

Step-by-step explanation:

The Coordinates of R = (-8,3)

The Coordinates of S = (9, -7)

Let M be the mid point of M and its coordinates by (x,y)

Now, by mid point formula,

(x,y) = (\frac{x_1  + x_2}{2} ,\frac{y_1 + y_2}{2} )

⇒(x,y) = (\frac{1}{2} ,\frac{-4}{2} ) = (\frac{1}{2} , -2)

So, the midpoint coordinates are (x,y) = (\frac{1}{2} , -2)

8 0
3 years ago
Other questions:
  • Elsie and her friends plan to drive 1048 miles during their road trip. How many gallons of gas will they need for this trip?
    15·1 answer
  • What is 27/45 to to the simplest form
    8·2 answers
  • Is my answer right can you check my answer We have to use dividend, divisor, equation, fraction, and quotient
    12·2 answers
  • If the diameter of a circle is 25 inches, what is the radius of the circle?
    8·1 answer
  • verizon charges $35 flat fee for unlimited calling plus $0.30 per text message. Dennis was charged $78.80 in February. How many
    5·2 answers
  • Answer the following question<br> 11+3p-7=6p+5-3p
    12·1 answer
  • Maya roll of wrapping paper the area of the paper on the role is 850 in.² My aunt needs to wrap a gift box that is 12 inches lon
    13·1 answer
  • #10 Please answer the question
    11·1 answer
  • PLEASE HELP !! <br>c = 49 cm, a = 41°. Find B in degrees. Round to 2 decimal places.​
    8·1 answer
  • A forestry researcher wants to estimate the average height of trees in a forest near Atlanta, Georgia. She takes a random sample
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!