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
dlinn [17]
3 years ago
15

In ∆PQR, ∠P = 90degrees , PQ= 12 cm, PR=16cm. Find ∠Q

Mathematics
1 answer:
siniylev [52]3 years ago
5 0

Answer:

∠Q  = 53.13 degrees

Step-by-step explanation:

Given that ∆PQR, ∠P = 90degrees , this means that the triangle is a right angled triangle

Hence using the notation

SOH CAH TOA

where S is sine, C is cosine, T is tangent and O, A and H represents the size of the opposite, adjacent and hypotenuse sides

Considering  ∠Q and the given sides

PR=16cm is the opposite side,

PQ= 12 cm is the adjacent side hence we use TOA

Tan Q = 16/12 =

Q = Arc tan 16/12

= 53.13 degrees

You might be interested in
Help these are superrrrr hardd
sertanlavr [38]

Answer:

1.) 0

2.) b = -0.8333333333

3.) -x-22

Step-by-step explanation:

Pull out like factors :    -3x - 2  =   -1 • (3x + 2)

(-5 • (3x + 2) -  (x - 3)) -  (-16x - 7)  = 0

Pull out: -16x-7

After pulling out, we are left with:  (-16x-7) • ( 1 +( (-1) ))

Pull out like factors: -16x - 7  =   -1 • (16x + 7)  

0 = 0

____________________________________________

Simplifying

2(a + -3) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

2(-3 + a) + 4b + -2(a + -1b + -3) + 5 = 0

(-3 * 2 + a * 2) + 4b + -2(a + -1b + -3) + 5 = 0

(-6 + 2a) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

-6 + 2a + 4b + -2(-3 + a + -1b) + 5 = 0

-6 + 2a + 4b + (-3 * -2 + a * -2 + -1b * -2) + 5 = 0

-6 + 2a + 4b + (6 + -2a + 2b) + 5 = 0

Reorder the terms:

-6 + 6 + 5 + 2a + -2a + 4b + 2b = 0

Combine like terms: -6 + 6 = 0

0 + 5 + 2a + -2a + 4b + 2b = 0

5 + 2a + -2a + 4b + 2b = 0

Combine like terms: 2a + -2a = 0

5 + 0 + 4b + 2b = 0

5 + 4b + 2b = 0

Combine like terms: 4b + 2b = 6b

5 + 6b = 0

Solving

5 + 6b = 0

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 6b = 0 + -5

Combine like terms: 5 + -5 = 0

0 + 6b = 0 + -5

6b = 0 + -5

Combine like terms: 0 + -5 = -5

6b = -5

Divide each side by '6'.

b = -0.8333333333

Simplifying

b = -0.8333333333

_______________________________________

|x - 2| - 4*|-6|

=|x - 2| - 4* 6

=|x - 2| - 24

x-2>=0 then x>= 2 and = x-2-24  = x-26

x-2<0 then  x<2 and = 2-x-24 =-x-22

so , If x>=2 then the expression will equal   x-26

&

If  x<2 then the expression will equal    -x-22

_________________________________________

❂✨Answered By Tokyo ✨❂

❉ Brainliest Would Be Appreciated❉

✯If You Have Questions Ask In the Chat Box✯

4 0
3 years ago
A laptop is 30% off the regular price of 920$ If a 6% sales tax is added to the cost what is total cost of the laptop
Lunna [17]

Answer

If we had a sale price of 30% off of $1,050then the sale price is 70% of $1,050 or 0.7(1050) Then we add 7% sales tax to that making thefinal price paid 107% of [0.7(1050)] ... 1.07[0.7(1050)] = $786.45

7 0
2 years ago
Suppose h(t) = -4t^2+ 11t + 3 is the height of a diver above the water in
nadezda [96]

Answer:

11/4 seconds

Step-by-step explanation:

We can see from the given equation that the height at the diving board is h = 3.

This is because the h(t) equation has that +3 at the end, which denotes the initial height of the diver, the height when he is standing on the board before jumping.

To find where h(t) = 3 is true, we need to set h(t) equal to 3 and solve for t.

h(t) = 3

h(t) = -4t^2 + 11t + 3 = 3

-4t^2 + 11t + 3 - 3 = 0

-4t^2 + 11t = 0

t*(-4t + 11) = 0

so h(t) = 3 when t = 0 and when t = 11/4 sec

we already know that at t = 0 the height is 3, it is the initial height given from the equation, so we want to use the other solution for t.

the diver is back at the height of the diving board at t = 11/4 sec

6 0
2 years ago
Read 2 more answers
Need help asap <br> Question 6
marta [7]

Answer:

AC=30

BD=30

BE=15

AB=27

6 0
3 years ago
Read 2 more answers
Does anyone play Fortnite mobile
inn [45]

Answer:

No

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • If 168 chocolate chips weigh 5 1 4 ounces. How many chocolate chips are in an ounce?
    12·1 answer
  • Why is it important to have high<br> quality audio files
    6·2 answers
  • Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha
    10·1 answer
  • Chad drove 168 miles in 3 hours <br><br> How many miles per hour did Chad drive?
    7·1 answer
  • Pls helpp will give brainliest
    15·1 answer
  • Out of 2000 students in high school
    11·1 answer
  • A home improvement store sold wind chimes for $30 each.A costumer signed up for a free membership card and recieved a 5% discoun
    15·1 answer
  • At a school carnival, 51 out of 68 tickets sold were early-admission tickets. What percentage of the tickets were early-admissio
    15·1 answer
  • What is the expanded form of 14.702
    5·1 answer
  • here is the histogram of a data distribution. all class widths are 1. which of the following is the closest to the mean of this
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!