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
mylen [45]
3 years ago
10

PLEASE HELP WITH THIS QUESTION

Mathematics
1 answer:
Maru [420]3 years ago
8 0
First we can recognize that angle OPQ shares a straight angle with angle QPR, meaning mQPR = 180 - 135 = 45 degrees. Given that angle PRQ is a right angle (90 degrees) and knowing that the interior angles of a triangle dum to 180, we can find that angle PQR (angle Q) is 180 - 90 - 45 = 45 degrees, and

tan(45) = 1
You might be interested in
A grasshopper jumps straight up from the ground with an initial vertical velocity of 8 feet per second. After how many seconds w
vlabodo [156]

Answer:

Problem 1 : After 0.25 s

Problem 2 : The squirrel doesn't reach the ground before the nut

Step-by-step explanation:

Problem 1

This is a standard physics problem

The equation that defines the movement of the grasshopper given the initial velocity, and the acceleration is the following

Distance =  Do + Vo*t + 0.5*a*t^2

Where

Do is the initial distance.

(Do = 0, because the grasshopper is on the ground and we choose the reference system there)

Vo is the initial velocity = 8 feet/sec

a is the acceleration that is exerted on the body (in this case a = g = -9.8 m/s^2 = - 32.174 feet per second per second.)

t is the time

We substitute in the equation, and solve for t (time)

Distance =  Do + Vo*t + 0.5*a*t^2

(1 foot)=  (0)+ (8 feet/s)*t + 0.5*(-32.174 feet/s^2)*t^2

Solving this equation, we get that

t = 0.25 s

Problem 2

This problem is similar to the previous one

We apply the same formula

D =  Do + Vo*t + 0.5*a*t^2

But in this case, we are going in the opposite direction, and we have an initial distance.

Do = 27 feet

Vo is the initial velocity of the nut = -6 feet/s

D = 0  (Ground)

We substitute in the equation, and solve for t (time)

(0) =  (27) + (-6 feet/s)*t + 0.5*(-32 feet/s^2)*t^2

t = 1.125 s  <  2s

The nut reaches ground in 1.125 s, so the squirrel doesn't reach the ground before the nut

4 0
3 years ago
Order of operations 5-2(5-27)+5
Artist 52 [7]

<em>The answer to your question would be 54</em>

<em />

<em>Work Shown:</em>

<em />

<em>5-2(5-27+5</em>

<em>Calculate with parenthesis (5-27): -22</em>

<em>5-2(-22)+5</em>

<em>Multiply and divide (left to right) 2(-22): -44</em>

<em>5-(-44)+5</em>

<em>Add and subtract (left to right) 5-(-44)+5</em>

<em>54</em>

3 0
2 years ago
A man bought a refrigerator, an air conditioner, a TV set and a gas cooker for $150.00, $400.00, $180.00 and $300.00 respectivel
MaRussiya [10]

Answer:

1184.5

Step-by-step explanation:

150+400+180+300=1030

1030 × 15% = 154.5

(15% is also 0.15)

1030 + 154.5 = 1184.5

I hope this helps you :)

4 0
3 years ago
What is the Scale Factor? (I need an actual answer this time so I can move on from my assignment I'm working on)​
steposvetlana [31]

Answer:

not sure which is the origional-

if the big one is the origiinal, then 1/2

if the small one is the origional- then 2-1

8 0
3 years ago
1.) The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. What is the approxi
const2013 [10]

Answer:

c .3.3

Step-by-step explanation:

pH is the negative log of the molar hydrogen ion concentration.The equation to calculate pH is;

pH = -log10[H+]

pH = -log10(5.0 x 10-4)

pH = 3.30

6 0
3 years ago
Read 2 more answers
Other questions:
  • Roderick has 7 boxes of 10 cards and 4 single cards.<br> How many cards does Roderick have?
    11·1 answer
  • You ate 2⁄3 of the pizza. How many twelfths is that?
    12·1 answer
  • Write an equivalent expression for 8(3+5•)+7•+4 if•
    11·1 answer
  • Evan and Sam were playing basketball. Evan made 2/3 of his shots. Sam made 2/4 of his shots. Who made more shots? Explain
    15·1 answer
  • A phone company charges a monthly rate of $12.95 and $0.25 a minute per call.
    14·1 answer
  • Please help me with this i’m stuck
    12·1 answer
  • I need help but I need to show work.​
    5·1 answer
  • Find the perimeter of the figure. Round to the nearest tenth.
    13·1 answer
  • Write and equality for an each situation .
    13·2 answers
  • Hi! It’d be really helpful if someone could explain he two questions below, thanks!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!