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
sasho [114]
3 years ago
6

Simon's dog jumped into a stream at a 68° angle from the corner of a bridge. simon crossed the bridge and walked downstream to m

eet the dog.
part a how long is the bridge, in feet?
part b how many feet did the dog swim?
Mathematics
1 answer:
artcher [175]3 years ago
7 0

The length of the bridge is 12.12 feet.

The length the dog swam is 32.36 feet.

The situation forms a right angle triangle.

<h3>What is a right angle triangle?</h3>

A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.

The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.

Therefore,

Let's find the length of the bridge as follows:

tan 68° = opposite / adjacent

tan 68° = 30 / l

cross multiply

l = 30 / tan 68

l = 12.1212121212

length of the bridge = 12.12 ft

The length the dog swim is as follows:

sin 68°= opposite / hypotenuse

sin 68° = 30 / h

h = 30 / sin 68

h = 32.3561767942

The distance the dog swimmed = 32.36 ft

learn more on right triangle here: brainly.com/question/22734914

You might be interested in
Translate this sentence into an equation.<br> 108 is the product of Carlo's age and 6.
NeTakaya

Answer:

Step-by-step explanation:

Let Carlo's age =  x

Equation: 6*x = 108

               6x = 108

Solution:

6x = 108

x = 108/6

x = 18

Carlo's age = 18 years

8 0
3 years ago
Read 2 more answers
Use the system of equations to answer the questions. 2x + 3y = 3 y = 8 – 3x The value of y from the second equation is substitut
AysviL [449]

Answer:

  • 2x +3(8 -3x) = 3
  • x = 3
  • y = -1

Step-by-step explanation:

The second equation tells you ...

  y = 8 -3x

Using this expression in the first equation gives you ...

  2x +3(8 -3x) = 3

  2x +24 -9x = 3 . . . . . eliminate parentheses

  21 = 7x . . . . . . . . . . .  add 7x -3

  3 = x . . . . . . . . . . . . . . divide by 7

  y = 8 -3×3 = -1 . . . . . . use the second equation to find y

The solution is (x, y) = (3, -1).

8 0
4 years ago
Read 2 more answers
Finding second Derivatives In Exercise,find the second derivate.<br> f(x) = (3 + 2x)e - 3x
Talja [164]

Answer:

the question is incomplete, the complete question is "Finding second Derivatives In Exercise,find the second derivate.

f(x)=(3+2x)e^{-3x}"

answer:\frac{df(x)^{2}}{dx^{2}}=(15+18x)e^{-3x}\\,

Step-by-step explanation:

To determine the second derivative, we differentiate twice.

for the first differentiation, we use the product rule approach. i.e

f(x)=u(x)v(x)\\\frac{df(x)}{dx}=u(x)\frac{dv(x)}{dx}+ v(x)\frac{du(x)}{dx}\\

from f(x)=(3+2x)e^{-3x} if w assign

u(x)=(3+2x)  and the derivative, \frac{du(x)}{dx}=2

also v(x)=e^{-3x} and the derivative  \frac{dv(x)}{dx}=-3e^{-3x}.

If we substitute values we arrive at

\frac{df(x)}{dx}=(3+2x)(-3e^{-3x})+2e^{-3x}\\\frac{df(x)}{dx}=(-9-6x)e^{-3x}+2e^{-3x}\\\frac{df(x)}{dx}=(-9-6x+2)e^{-3x}\\\frac{df(x)}{dx}=-(7+6x)e^{-3x}\\,

Now to determine the second derivative we use the product rule again

this time, u(x)=(7+6x)  and the derivative, \frac{du(x)}{dx}=6

also v(x)=e^{-3x} and the derivative  \frac{dv(x)}{dx}=-3e^{-3x}.

If we substitute values we arrive at

\frac{df(x)^{2}}{dx^{2}}=-((7+6x)(-3e^{-3x})+6e^{-3x})\\\frac{df(x)^{2}}{dx^{2}}=-((-21-18x)e^{-3x}+6e^{-3x})\\\frac{df(x)^{2}}{dx^{2}}=-((-21-18x+6)e^{-3x})\\\frac{df(x)^{2}}{dx^{2}}=(15+18x)e^{-3x}\\,

7 0
3 years ago
True or False: Every line has exactly one midpoint.
beks73 [17]
True at some point every line has a middle
6 0
3 years ago
Bella started her own business. One weekend she sold 3 regular and 9 fluffy slimes for $84. The next weekend she sold 4 regular
BARSIC [14]

Answer:

$5.85 = cost for fluffy slime

4r + 2(5.85) = 53.5

Step-by-step explanation:

Let r = cost of regular

     f = cost of fluffy

(1)    3r + 9f = 84              (2)    4r + 2f = 53.5

4 x (1)      12r + 36f =  336

-3 x (2) <u> -12r - 6f =  -160.5</u>

                     30f = 175.5

                         f = $5.85 = cost for fluffy slime

4r + 2(5.85) = 53.5

4r + 11.7 = 53.5

4r = 41.8

r = $10.45 = cost for regular

3 0
3 years ago
Other questions:
  • The question is “Mike purchased 3 DVDs and 14 video games for $203. Nick went to the same store and bought 11 DVDs and 11 video
    13·1 answer
  • Which of the following is not an acceptable form of proof?
    6·2 answers
  • Please help me i’m stupid
    10·2 answers
  • Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts
    10·1 answer
  • I need help with Law of Sines; I posted pictures but I need help ASAPP
    10·1 answer
  • HELP ME ASAP PLEASE!
    15·1 answer
  • How do I solve this equation? I don’t understand it
    12·2 answers
  • Students are planting a flower bed for science class. The flower bed can be 4.5 ft wide and will be divided into 2 sections for
    7·1 answer
  • AREA OF FIGURES. URGENT.
    5·1 answer
  • Mallory is training for a marathon. She ran for 15 minutes on the 1* day, 19
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!