answer.
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
Mrac [35]
1 year ago
7

. A cyclist pedals his bike 6.5 km up a mountain road, which has a steady incline. By the time he has reached the top of the mou

ntain, he has climbed 1.1 km vertically. Calculate the angle of elevation of the road.
Mathematics
1 answer:
Elan Coil [88]1 year ago
5 0

Answer:

9.72°

Step-by-step explanation:

Step one

Given data

let the hypotenuse be the distance the cyclist traveled = 6.5km

and let the opposite be the height of the mountain = 1.1 km

Step two:

<u>Applying SOH CAH TOA</u>

sin ∅= opp/hyp

∅= sin-1 opp/hyp

∅= sin-1 1.1/6.5

∅= sin-1 0.169

∅= sin-1 0.169

∅=9.72°

You might be interested in
What is the missing reason in step 5? Statements Reasons 1. ABCD is a kite 1. given 2. AB ≅ BC, BP ⊥ AC 2. definition of kite 3.
Dominik [7]
Which of the following is a step that occurs within an inflammatory response?
8 0
2 years ago
Read 2 more answers
Use the graphing calculator to locate the solutions of this system of equations:
777dan777 [17]
Hello,

y=(x-2)²-15
y=5x-1

==> 5x-1=x²-4x+4-15
==> x²-9x-10=0
Δ=9²+4*10=11²
x=(9+11)/2 or x=(9-11)/2
==>(x=10 and y=5*10-1=49) or (x=-1 and y=5*(-1)-1=-6)

1) A (-1,-6)
2) C (10,49)

7 0
2 years ago
Read 2 more answers
Maria's Grocery Store buys grapefruit at a cost
Amanda [17]

Answer: 25 grapefruits

Step-by-step explanation:

They buy grapefruit at a price of 5 per dollar. This means that the price per grapefruit is:

= 1 / 5

= $0.20 per grapefruit.

They then sell at a price of 5 per $3. The selling price per grapefruit is:

= 3 / 5

= $0.60

The profit per grapefruit is:

= 0.60 - 0.20

= $0.40

In order to make a profit of $10, they should sell:

= 10 / 0.4

= 25 grapefruits

4 0
2 years ago
Grace invested $5,200 in an account paying an interest rate of 4.6% compounded daily. Assuming no deposits or withdrawals are ma
nlexa [21]

Answer:

Step-by-step explanation:

Use this formula for when compounding is either not continuous or is not annually:

A(t)=P(1+\frac{r}{n})^{(n)(t)} where P is the initial investment, r is the interest rate in decimal form, n is the number of times the compounding occurs per year, and t is the time in years.  For us:

P = 5200,

r = .046,

n = 365, and

t = 11

A(t)=5200(1+\frac{.046}{365})^{(365)(11)} and

A(t)=5200(1+.000126)^{4015} and

A(t)=5200(1.000126)^{4015} and

A(t) = 5200(1.658408042) so

A(t) = $8623.72

8 0
2 years ago
Supervisor: "You did a great job last month. You made $75.00 an hour with your commission pay.” Employee: "This month I want to
nasty-shy [4]
I'd say you make 90$ an hour.

   $75.00 + (20% x 75)

Rewritten 20% as .2 

 75 + ( .2 x 75 )
 
75 + 15 =

  90



 OR

75 x 1.2

  
4 0
2 years ago
Other questions:
  • The resultant force r is related to two concurrent forces,x and y acting at right angles to one another by the formula r^2=x^2+y
    5·2 answers
  • 300-297+294-291+288-285+...+6-3
    15·2 answers
  • If 2 and 4 each divide q without remainder which of the following must q divide without remainder
    5·2 answers
  • after five years of earning interest at an annual rate of 4% and investment has earned $1,200 in interest determine the amount o
    14·1 answer
  • Laura owes $18,000 on her student loans. The interest rate on the bank loan is 2.5% and the interest rate on the federal loan is
    11·1 answer
  • In a class of 30 students, 19 are studying French (F), 12 are studying Spanish (S) and 7 are studying both French and Spanish. H
    5·1 answer
  • Which shows two expressions that are equivalent to (Negative 8) (negative 12) (2)?
    8·2 answers
  • students at river view middle school are allowed to wear two different colors of uniform shirts. A survey of students at the sch
    11·1 answer
  • Dr. Miriam Johnson has been teaching accounting for over 20 years. From her experience, she knows that 60% of her students do ho
    10·1 answer
  • A cosine function has been reflected over the x-axis and horizontally compressed by a factor of One-third
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!