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
kari74 [83]
3 years ago
13

IB QUESTIONS:

Mathematics
1 answer:
enyata [817]3 years ago
4 0

Step-by-step explanation:

Using SOHCAHTOA

\tan =  \frac{opposite}{adjacent}  \\  \tan {31}^{0} =  \frac{450}{x}  \\  \tan {31}^{0} = 0.6009 \\ 0.6009 = \frac{450}{x} \\ cross \: multiply \\ 0.6009x = 450 \\ divide \: both \: sides \: by \: 0.6009 \\ x =  \frac{450}{0.6009}x \\  = 748.9

Second Question Explanation:

a. The base angles of an isosceles triangle are equal so angle ABC is also 32°

but the sum of angles in a triangle = 180° therefore

let angle CAB be x

{32}^{0}  +  {32}^{0} +  {x}^{0} =  {180}^{0}  \\ 64 + x =  180 \\  {x}^{0}  = 180 - 64 \\  {x}^{0}  =  {116}^{0}

b. If you share a triangle in half you get 2 right angles so I'll use SOHCAHTOA to find the length AB

First the base of the right angled triangle will be 20/2 = 10

\cos =  \frac{adjacent}{hypotenuse} \\  \cos {32}^{0} =  \frac{10}{ab} \\  \cos32 = 0.8480 \\ 0.8480 =  \frac{10}{ab}  \\ ab =  \frac{10}{0.8480}  \\ line \: ab = 11.8

c. To find the are we'll need to get the height first

using the right angled triangle With base 10cm and hypotenuse 11. 8 to find the height we'll use the Pythagorean theorem

{(11.8)}^{2}  =  {x}^{2} +  {10}^{2}  \\ 1324.24 =  {x}^{2}  + 100 \\  {x}^{2}  = 139.24 - 100 \\  {x}^{2}  = 39.24  \\  \sqrt{ {x}^{2} }  =  \sqrt{39.24}  \\ x =  \sqrt{39.24 }  \\ x = 6.3

now to find the area

area \: of \: triangle =  \frac{1}{2}  \times base \times height \\   =  \frac{1}{2}  \times 20 \times 6.3 \\  \frac{20 \times 6.3}{2}  \\  = \frac{126}{2}  \\ 63 {cm}^{2}

You might be interested in
Jovita Alvarez obtained a personal loan of $3000 at 14% for 24 months. The monthly payment is $144 the balance of the loan after
xxTIMURxx [149]
Ooo this is hard, I got a little confused
4 0
3 years ago
2n +5)=2<br> Help me please
Kobotan [32]

Answer:

-1.5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Order the equations from least to greatest based on the number of solutions to each equation.
aleksandrvk [35]

In order it  goes like this

- 4^ x - 1 = 3^ (-x) - 2

- 3 x + 6 = 2^ x + 1

3^ x - 3 = 2 x - 2

so the question is the answer

3 0
3 years ago
Which value is a part of the domain? <br> -2.7<br> -2.2<br> -1.9
ozzi

Answer:

hmm, i think is -2.2 if am correct.

Step-by-step explanation:

7 0
3 years ago
Use substitution to determine which of the following points is a solution to the standard form equation below. 2y = 5
sashaice [31]
The question is incomplete.

This is the complete question as I found in internet:

<span>Use substitution to determine which of the following points is a solution to the standard form equation below 5x-2y = 10

these are the points:
</span>
-1,5

1,5

0,-5

0,5

Answer: (0, -5)

Explanation:


point          x           y        5x - 2y = 10 ?


-1,5         -1           5         5(-1) - 2(5) = - 5 - 10 = - 15 ≠ 10 ⇒ not a solution

1,5            1          5         5(1) - 2(5) = 5 - 10 = 5 ≠ 10 ⇒ not a solution
 
0,-5           0        -5           0 -2(-5) = 10 ⇒ a solution

0,5             0         5          0 - 2(5) = - 10 ≠ 10 ⇒ not a solution

7 0
3 years ago
Other questions:
  • GEOMETRIC PROBABILITY URGENT?
    8·1 answer
  • Can someone help me finger out my homework please
    9·2 answers
  • Simplify 4(n+5) for me
    14·2 answers
  • Three(two squared minus9)
    6·1 answer
  • What is the value of x in the parallelogram below?
    12·1 answer
  • A = 23 − 32 + 4(5 + 1) and B = 72 − 2(3 + 1)2, what is the value of A − B?
    11·2 answers
  • Given m
    14·2 answers
  • What one is going slower​
    10·2 answers
  • An inlet pipe on a swimming pool can be used to fill the pool in 15 hours. The drain pipe can be used to empty the pool in 20 ho
    5·2 answers
  • !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!