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 meet the dog.
part a how long is the bridge, in feet?
part b how many feet did the dog swim?

Answers

Answer 1

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.

What is a right angle triangle?

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: https://brainly.com/question/22734914

Simon's Dog Jumped Into A Stream At A 68 Angle From The Corner Of A Bridge. Simon Crossed The Bridge

Related Questions

Joe drove 567 miles in 9 hours.
At the same rate, how many miles would he drive in 5 hours

Answers

Answer:

answer down below

Step-by-step explanation:

it would be 315

Answer:

13 hours

Step-by-step explanation:

567/9=63

she drives 63mph

it will take her 13 hours to drive

Find the 7th term of the geometric progession which begins 2, -6, 18

Answers

Answer:

The 7th term of this geometric progression is -486

What is the distance between B and C? The Graph Below.

Answers

Answer:

250cm

Step-by-step explanation:

Answer:

433.01m.

Step-by-step explanation:

SOHCAHTOA

cos60= a/500

500cos60=a

433.01m

You work in the mayor’s office and you are providing the mayor with a list of talking points for a speech. In your town, 13
1
3
of the residents live in rented dwellings. Of those who live in rented dwellings, 12
1
2
are in families with school-age children. On your list of talking points, what fraction of the residents should you list as living both in rented dwellings and in families with school-age children?

Answers

Answer:12/13

Step-by-step explanation:12/13

HELP PLEASE
Find the area of the irregular figure.
5 in.
4 in
A = [ ? ]in.?
5 in.
9 in.
12 in.
4 in
5 in.

Answers

Answer:

Area of a rectangle

A = lw

Solve the equation
8 - (x - 2) = 2x + (10 - 3x)

a. x= 10
b. x= -10
c. infinitely many solutions
d. no solution

Answers

Answer:

Step-by-step explanation:

8-(x-2)=2x+(10-3x)

We move all terms to the left:

8-(x-2)-(2x+(10-3x))=0

We add all the numbers together, and all the variables

-(x-2)-(2x+(-3x+10))+8=0

We get rid of parentheses

-x-(2x+(-3x+10))+2+8=0

We calculate terms in parentheses: -(2x+(-3x+10)), so:

2x+(-3x+10)

We get rid of parentheses

2x-3x+10

We add all the numbers together, and all the variables

-1x+10

Back to the equation:

-(-1x+10)

We add all the numbers together, and all the variables

-1x-(-1x+10)+10=0

We get rid of parentheses

-1x+1x-10+10=0

We add all the numbers together, and all the variables

=0

x=0/1

x=0

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8 - (x - 2) = 2x + (10 - 3x)}\\\mathsf{\rightarrow 8 - x - 2 = 2x + 10 - 3x}\\\mathsf{\rightarrow 6 - x = 5x + 10}\\\mathsf{\rightarrow 6 - 1x = 5x + 10}\\\mathsf{\rightarrow -x + 10 = -x + 10}\\\large\text{ADD the value of x to BOTH SIDES}\\\mathsf{\rightarrow -x + 10 + x = -x + 10 + x}\\\large\text{SIMPLIFY IT!}\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\mathsf{\rightarrow 10 - 10 = 10 - 10}\\\large\text{SIMPLIFY IT!}\\\mathsf{0 = 0}\\\huge\textsf{Answer: Option C. infinitely many solutions}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is the volume of this figure?

Enter your answer in the box.

yd³

Answers

Answer:

4095

Step-by-step explanation:

This Is for the 4.07 K-12 Quiz! <3

Answer:

4095 yd³ for K12

What is the area of a circle with a radius of 10.2 feet? 10.2 ​

Answers

Answer:

326.85 ft^2

Explanation:

The area of a circle is A=πr2
If we substitute the value of 10.2 feet into this formula we get 326.85 ft^2

Question 9 of 10
Find the solutions to x2 = 18.
O A. x= +3,12
O B. x= +2,/3
X
O C. X = +36
O D. x = +63
Х

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{} = \sqrt{ 18}[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \sqrt{2 \times {3}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 3 \sqrt{2} [/tex]

Therefore, the correct choice will be A

What is the area of the shaded region?
A. 16π
B. 8π
C. 4π
D. 2π

Answers

Area of a circle = pi x r^2

Area of the circle = 4^2 x pi = 16pi


3/4 of the circle is shaded


area of shaded portion = 3/4 x 16pi = 12pi


Answer 12 pi

Answer:

b

Step-by-step explanation:

4 of the nonshaded areas =a

Can someone help me? Image is down below

Answers

Answer:

0.3 ft  DISCLAIMER

Step-by-step explanation:

DISCLAIMER: I am not 100% sure if I am correct.  I think I am but there is a chance I am not.  I just thought ONE answer would be better than none.  Feel free to disregard this if you don't want to try.

If you multiply the starting height (4.5 ft.) by .73 (73%) then you would get the second bounce.  I just did that until I got to the 10th bounce and rounded it to the nearest tenth which ended up being 0.3

In the equation "y = mx + b" which of the following statements is true?

Group of answer choices

y is the output, x is the input, m is the slope and b is the y-intercept

x is the output, y is the input, m is the slope and b is the y-intercept

y is the output, x is the input, b is the slope and m is the y-intercept

y is the output, b is the input, x is the slope and m is the y-intercept

Answers

Answer:

Its the first one, y is always the output and y =mx+b, b is always the y-intercept and m is always the slope

Step-by-step explanation:

Answer:

A. y is the output, x is the input, m is the slope and b is the y-intercept

Step-by-step explanation:

In an equation y = mx + b, we know that:

x is the input

y is the output

m is the slope

b is the y-intercept

Looking for an answer that matches these criteria, we can say that the answer is A.

A rectangle has an area of 73.5m2 one of the sides are 1.5m in length work out the perimeter of the rectangle

Answers

Answer:

101m

Step-by-step explanation:

area of a rectangle is given by length × width

73.5÷1.5 gives us the other side=49

49+1.5=50.5×2=101

5 pounds=. Ounces



I need Helpppp

Answers

5 ounces!!!! I studied the gallon hour

Answer:

80 ounces

Step-by-step explanation:

1 pound is 16 ounces

5 pounds is x ounces.

[tex]\frac{1}{16}=\frac{5}{x}[/tex]

Cross multiply.

[tex]\frac{16*5}{1}=80[/tex]

The radius of a circle with area A is approximately √A/3. The area of a circular mouse pad is 51 square inches. Estimate its radius to the nearest integer.

Answers

Answer:

23 square meter from Nthabiseng Selina Tsolo

What are the roots of the polynomial equation x superscript 4 baseline x squared = 4 x cubed minus 12 x 12? use a graphing calculator and a system of equations. round noninteger roots to the nearest hundredth. –12, 20 –2.73, 2, 2.73 –1.73, 1.73, 2 –20, 12

Answers

The roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.

What is a factor of polynomial?

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.\

To find the roots of a polynomial, equate these factors of a polynomial to zero.

The given polynomial equation is,

[tex]x^4+x^2=4x^3-12x+12[/tex]

Take all the terms left side of the equation,

[tex]x^4+x^2-4x^3+12x-12=0\\x^4-4x^3+x^2+12x-12=0[/tex]

The factor form of the polynomial on solving the above equation, we get,

[tex](x-2)(x-2)(x-1.73)(x+1.73)=0[/tex]

Equate all the factors to zero, to find the roots. The roots we get are,

[tex]2,2,1.73,-1.73[/tex]

Hence, the roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.

Learn more about factor of polynomial here;

https://brainly.com/question/24380382

Answer:

–1.73, 1.73, 2

Step-by-step explanation:

Evaluate 2-(-4) + (-g) where y= 7.

Answers

Answer:

-1

Step-by-step explanation:

2 - (-4) + (-y)

Substitute y = 7 to the expression:

2 - (-4) + (-7) = 2 + 4 - 7 = 6 - 7 = -1

There are 224 boys and 168 girls in the seventh grade. In which class is the ratio of boys and girls equivalent to the ratio in the seventh grade? Class Boys Girls A 12 8 B 18 10 C 15 9 D 16 12​

Answers

Answer:

C

Step-by-step explanation:

Because 3 goes into both 15 and 9 and make 3:3

No other numbers make an equivalent ratio

C Because no other number would make it equivalent.

Solve using area model. 53x95

Answers

53x95 = 5035!


hopes this helps! ^^

Answer:

5605

Step-by-step explanation:

Which system of equations

Answers

Answer:

The answer is J.

Step-by-step explanation:

Because y= 2x-3 as shown on the graph and on the chart it shows y=-x+3

(-2)-(3)+(+5)


por favor e pra hj,amanha vou ter aula cedo

Answers

Answer:

0

Step-by-step explanation:

-2-3+5

-5+5

0

How can you reduce the variability of a statistic?

Answers

Answer:

How can you reduce the variability of a statistic? By taking a larger sample. Larger samples give smaller spread. Also by better design, such as stratified sampling. What effect does the size of the population have on the variability (spread) of a statistic?

Step-by-step explanation:

Need help asap please!!!

Answers

Answer:

Bottom Right = (2 x 10^-3) x (4 x 10^4) = 8 x 10^1

Step-by-step explanation:

Help!! This is iready will get brainiest!! Please answer!!

Answers

Answer:

C the number of toothbrushes :)

Step-by-step explanation:

You can show how many were given away each month on a dot plot :)

The others would not make sense with the dot plot :)

Haeva great day!

Please rate and mark brainliest!

what is the area of this figure?

Answers

Answer:

  234 square millimeters

Step-by-step explanation:

You want the area of the irregular polygon shown.

Composition

There are always several ways you can find the area of a figure like this. In the attachment we have shown extensions of the vertical and horizontal lines that will divide the figure into a triangle and two rectangles.

Triangle area

The triangle has a base of 12 mm and a height of 13 mm. Its area is ...

  A = 1/2bh

  A = 1/2(12 mm)(13 mm) = 78 mm²

Rectangle area

The upper rectangle has a width of 8 mm and a length of 14 mm. Its area is ...

  A = LW

  A = (14 mm)(8 mm) = 112 mm²

The lower rectangle has a width of 4 mm and a length of 11 mm. Its area is ...

  A = (4 mm)(11 mm) = 44 mm²

Total area

The area of the figure is the sum of the areas of its parts:

  total area = triangle area + upper rectangle + lower rectangle

  total area = 78 mm² + 112 mm² + 44 mm² = 234 mm²

The area of the figure is 234 square millimeters.

<95141404393>

Solve the system by substitution.
8x +y = 4
-23 – 8= y

Answers

Answer:

(2,-12)

Step-by-step explanation:

Correct equations:

  8x+y=4

 -2x-8=y

------------------

Rearrange the first equation:

8x+y=4

y=4-8x

Now use this value of y in the second equation:

-2x-8=y

-2x-8=4-8x

6x = 12

x = 2

When x = 2:

y=4-8x

y=4-8(2)

y = -12

(2,-12)

--

One can also graph the two equations and find the point they intersect.  See the attached graph.

what is the gradiant of the graph

Answers

Answer:

gradient = 2

Step-by-step explanation:

calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 3) ← 2 points on the line

m = [tex]\frac{3-(-1)}{2-0}[/tex] = [tex]\frac{3+1}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2

PLSSSSSS HELPPP Assemble the proof by dragging the tiles to the Statements and Reasons columns.

Answers

Answer:

Hope this helps

Step-by-step explanation:

Similar Triangles... Yes

QR similar to SR

ang. QRP = ang. SRT

ang. p = ang. t

=> similar

Which algebraic expressions are binomials? Check all that apply.

xyStartRoot 8 EndRoot

x2y – 3x

6y2 – y

y2 + StartRoot y EndRoot

4xy – two-fifths

x2 + StartFraction 3 Over x EndFraction

Answers

The algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5

What are polynomials?

Polynomials are algebraic expressions having only addition, subtraction, multiplication and exponentiation (non-negative) of variables involved in it.

What are terms in polynomials?

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example:

[tex]x^3 + 3x +5[/tex]

is a polynomial consisting 3 terms as

[tex]x^3[/tex], 3x and 5

If there is one term, the polynomial will be called monomial.If there are two terms, the polynomial will be called binomialIf there are three terms, the polynomial will be called trinomial

Checking all the options:

Option 1: [tex]xy\sqrt{8}[/tex]

It has only one term, so its not a binomial.

Option 2: [tex]x^2y - 3x[/tex]

It has two terms, and there is only integer powers of variables and variables are in multiplication in forming terms, so its a polynomial.  And because of two terms and being polynomial, it is binomial.

Option 3: [tex]y^2 + \sqrt{y}[/tex]

Because of square root over variable 'y', the variable 'y' got non-integer power 1/2 as square root is also written as exponentiation by 1/2.

Thus, its not a polynomial.

Option 4: [tex]4xy - 2/5\\[/tex]

Its a polynomial as there are constants only and variables with multiplication. And because of two terms and being polynomial, it is binomial.

Option 5: [tex]x^2 + \dfrac{3}{x}[/tex]

we can write the second term as:

[tex]\dfrac{3}{x} = 3x^{-1}[/tex]

Thus, the variable x has negative power. Thus, its not a polynomial. Or simply, since the variable is in division in simplified form, therefore, its not a polynomial.

Thus, the algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5

Learn more about binomials here:

https://brainly.com/question/10451213

How can you use tables, graphs, and equations to compare functions in everyday life?

Answers

You can use them in real life by keeping notes if things like a graph if you are presenting something to your boss like how the business has grown a table to separate things and equations to help you know how to much you’ll need to pay the cashier without overpaying
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