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
IrinaK [193]
3 years ago
5

Pleaseeeeeeeeeee help.

Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer:

The total distance Remy will swim is approximately 236 meters

Step-by-step explanation:

From the given diagram, of triangle ΔCAB, we have that the path Remy is to swim are;

1) Length of segment C to A

2) Length of segment A to B

3) Length of segment B to C

The length of the perpendicular at point D on segment AB to C = 60 meters

Therefore, DC = 60 m

By trigonometric ratios, we have;

tan (\theta) = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}

cos(\theta) = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}

We are given the values of the trigonometric ratios of the following angles;

tan(27°) = 0.51

tan(43°) = 0.93

cos(27°) = 0.89

cos(43°) = 0.73

∴ tan(43°) = AD/DC = 0.93

Where the lengths of AC, AD, DB, DC and BC

AD = DC × tan(43°)

∴ AD = 60 × 0.93 ≈ 55.8

Similarly, we have;

tan(27°) = DB/DC

∴ DB = DC × tan(27°)

DB = 60 × 0.51 ≈ 30.6

From cos(\theta) = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}, we have;

cos(43°) = DC/AC

AC = DC/(cos(43°))

∴ AC = 60/0.73 ≈ 82.2

Similarly, we have;

cos(27°) = DC/BC

BC = DC/(cos(27°))

∴ BC = 60/0.89 ≈ 67.4

The total distance Remy will swim = AC + AD + DB + BC

∴ The total distance Remy will swim = 82.2 + 55.8 + 30.6 + 67.4 = 236

The total distance Remy will swim = 236 meters

You might be interested in
PLEASE ANSWER AND EXPLAIN | 98 POINTS
DIA [1.3K]

Answer:

Step-by-step explanation:

R-value can range from -1 to 1 with correlation being strongest at -1 and 1 and weakest at 0.

So the answer is D. -0.9.

3 0
3 years ago
Read 2 more answers
Subtract 2x^2+6x-5from7x^2+3x+4
Gnom [1K]
-5^2+9x-9 (need more space to answer)
5 0
3 years ago
What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?
s344n2d4d5 [400]

Answer:

2 units

Step-by-step explanation:

The given equation of the circle is:

x^{2} + y^{2}+8x-6y+21=0

The general equation of the circle is:

x^{2} + y^{2}+2gx+2fy+c=0

Comparing the given equation with the general equation we can say:

g = 4

f = -3

c = 21

The formula for radius of the circle is:

radius=\sqrt{g^{2} +f^{2} -c }

Using these values of the given circle, we get:

radius=\sqrt{(4)^{2}+(-3)^{2}-21}\\\\radius=\sqrt{4}\\\\radius=2

Therefore, the length of radius of the given circle is 2.

3 0
3 years ago
Use the diagram to find the height of statue.round to the nearest tenth
jeyben [28]

Answer:

7.3 ft

Step-by-step explanation:

The information given represents a right angle triangle with the following:

reference angle = 52°

Adjacent side length = 5.7 ft.

Opposite side length = height of the statue = h

Applying the trigonometric ratio formula, we would have:

tan(52) = \frac{h}{5.7}

Multiply both sides by 5.7

tan(52) \times 5.7 = \frac{h}{5.7} \times 5.7

tan(52) \times 5.7 = h

h = 7.3 ft (nearest tenth)

6 0
2 years ago
Given f(x)=10-2x, find f(7)
mylen [45]

Answer:

f(7)=10-14=-4

Answer=-4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • A student says that the algebraic expression 5 x 7 can also be written as 5 7x. is the student correct? explain.
    14·1 answer
  • angle 1 and angle 2 are complementary angles. given the following information, find measures of both angles
    15·1 answer
  • Which function has an inverse that is also a function
    10·1 answer
  • 3.simplifyyyyyyyyyyyyyyyyyyy
    10·2 answers
  • Amber drove to her uncle's house. The graph shows the distance she travelled over time.
    8·1 answer
  • find the points of D(-3,-1), E(-1,2), F(4,-2) after a rotation 180° about the origin ASAP PLEASE ILL GIVE BRAINLIEST
    14·1 answer
  • Johnny picked 3 pounds of strawberries. That afternoon, Johnny's sister ate 2/3 of the strawberries. How many pounds of strawber
    12·2 answers
  • ANSWER ASAP GIVING BRAINLIEST AND STUFF!
    15·2 answers
  • Evaluate the expression for the given values.
    7·2 answers
  • What is the domain of the function showing in the graph below? part 1
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!