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
The length of the bridge and the length the dog swam are 12.12 feet and 32.36 feet respectively
The problem forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.
Therefore, the length of the bridge and the length the dog swam can be calculated as follows:
tan 68° = opposite / adjacent
tan 68° = 30 / x
cross multiply
x = 30 / tan 68
x = 12.12 ft
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
Related Questions
How is the sentence "9 less than x is –1" written as an equation?
Answers
Answer:
Must not have more than ONE "=" sign in an equation like this one.
9 is less than x is -1
I will take the liberty of deleting the first "is" and then write out the expression:
9 less than x is -1, or x-9 = -1
Add 9 to both sides to determine the value of x: x = 8 (answer)
Step-by-step explanation:
Answer: x-9=-1
(they deleted my answer 4 some reason : /)
Step-by-step explanation:
When you use a (___________________ ), the money you spend is deducted
A credit card
B debit card
C deposit
D credit score
Answers
Answer:
B Debit Card
Step-by-step explanation:
When you use a debit card money comes out of your checking account
Answer:
a credit card
Step-by-step explanation:
because I think it makes sense
Find the area of each kite. write your answer as an integer or a simplified radical
Answers
The area of the kite is the amount of space it occupies
The area of the assumed kite is 25 square units
How to determine the area of the kite?The question is incomplete, as the dimensions of the kites are not given.
So, I will provide a general explanation
The area of a kite is:
Area = 0.5pq
Where p and q are the lengths of the diagonals of the kite.
Assume that p = 5 and q = 10, for a kite.
The equation becomes
Area = 0.5 * 5 * 10
Evaluate
Area = 25
Hence, the area of the assumed kite is 25 square units
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HELLP HURRY I WILL GIVE BRAINLIEST
Use the graph.
Answers
Answer:
A
Step-by-step explanation:
From inspection of the graph:
a = 3 unitsb = 6 unitsc = 2 unitsd = 4 units[tex]\dfrac{a}{b}=\dfrac36=\dfrac12[/tex]
[tex]\dfrac{c}{d}=\dfrac24=\dfrac12[/tex]
[tex]\dfrac{d}{c}=\dfrac42=2[/tex]
[tex]ab=3 \cdot 6 = 18[/tex]
[tex]cd=2 \cdot 4 = 8[/tex]
[tex]a+b=3+6=9[/tex]
[tex]c+d=2+4=6[/tex]
Therefore, the only expressions that are equal are:
[tex]\implies \dfrac{a}{b}=\dfrac{c}{d}[/tex]
A plane travels a distance of 3,300 miles at a rate of 550 mph. How long will it take
the plane to reach its destination?
Answers
Answer:
6 hours
Step-by-step explanation:
Divide 3300 by 550, so it's 6.
Josiaanswer this is it josia the question
Answers
Answer:
6? i am soooo confused
Step-by-step explanation:
PLEASE HELP!!!
An athletic banquet charges a fixed fee of $500 plus $25 per person for the food. There are up to 50 guests, how much would the banquet cost for 45 and 90 guests? What is the rate of change?
Answers
Answer:
45 guests = $1,625
90 guests = $2,750
Step-by-step explanation:
(25*45)+500= 1,625
(25*90)+500=2,750
Write the following expressions without using absolute value.
|y-x|, if y>x
Answers
Answer:
y-x
Step-by-step explanation:
as y>X so y-x is positive
hence the required expression is y-x
Ravi buys some hats to sell at a school fete. He buys 56 hats for a total £120
Ravi sells 3/7 of these hats at £3.50 each.
He reduces the selling price of the remaining hats to £3 each.
He sells half of the remaining hats at this selling price.
Work out the profit Ravi makes.
Answers
Answer:
$12
Step-by-step explanation:
3/7 of 56 = 24 hats
24 x $3.5 = $84
The remaining hats 56-24 =32 hats
HALF of 32 =16hats
16x$3 =$48
$84 + $48 = $132
But he spent $120
The profit Ravi made = 132-120 = $12
Question 6 of 10
Which of the following are solutions to the equation below?
Check all that apply
x2 – 3x + 27 = 6x + 7
A. 3
B. 6
C.-4
D. 5
E. 4
Answers
Answer:
4 and 5
Step-by-step explanation:
its right
y+2x=2 find the slope of every line perpendicular to the graph of the equation
Answers
Answer:
[tex]m_{perpendicular}[/tex] = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
y + 2x = 2 ( subtract 2x from both sides )
y = - 2x + 2 ← in slope- intercept form
with slope m = - 2
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
There are 14 white cabbages and x purple cabbages in a box.
A cabbage is selected at random.
The probability of taking a white cabbage from the box is 0.56.
Find the value of x.
Answers
Answer:
x = 11
Step-by-step explanation:
Given:
14 = number of white cabbagesx = number of purple cabbagesP(W) = 0.56⇒ total number of cabbages = 14 + x
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
[tex]\sf \implies P(W)=\dfrac{number \ of \ white \ cabbages}{total \ number \ of \ cabbages}[/tex]
[tex]\sf \implies 0.56=\dfrac{14}{14+x}[/tex]
[tex]\sf \implies 0.56(14+x)=14[/tex]
[tex]\sf \implies 7.84+0.56x=14[/tex]
[tex]\sf \implies 0.56x=6.16[/tex]
[tex]\sf \implies x=11[/tex]
Explain the advantages and disadvantages of a non-linear rate structure.
Please, help!
Answers
Answer:
advantage: it uses memory very efficiently than linear data structures
disadvantages: Non - linear data structures are quite hard to understand and implement than linear data structures
can 133.97 be an answer to a cone with a radius of 4 inches and a height of 8 inches
Answers
Answer:
no
Step-by-step explanation:
the answer is 134.04
what is the inequality shown
Answers
Answer:
-2 ≤ x < 8
Step-by-step explanation:
Shaded in circle above the number means greater/less than or equal to.
In this instance, -2
Non-shaded in circle above the number means greater/less than.
In this instance, 8
The line between the two circles is where any number (x) could be.
Between -2 and 8, so -2 ≤ x < 8
Ann's car can go 288 miles on 8 gallons of gas. During a drive last weekend, ann used 5 gallons of gas. How far did she drive?
Answers
Answer:
180 miles
Step-by-step explanation:
Ann's car can go 288 miles on 8 gallonsBase rate
= No. of miles / No. of gallons= 288 / 8⇒ 36 miles per gallon [Important to rememeber!]5 gallons
Distance for 5 gallons = base rate x 5Distance = 36 x 5Distance = 180 milesAnswer:
180
Step-by-step explanation:
288:8=36 means with 1 gallon can drive 36 km
5 gallon used last week so 5*36 =180 km
Three boys, Adam, Kyle, and Ty, and two girls, Anne and Kate, have volunteered to help plan the school dance. One student will be randomly selected to plan and host the event, while another will be randomly selected to manage all the scheduled activities. The remaining volunteers will help decorate the gym for the dance. What is the probability that a girl will host the event and Anne will manage the event?
Answers
Answer:
2:4
Step-by-step explanation: Subtract 1 from total amount then find the number of girls I think sorry
Which graph represents the function y-3 =3/2 (x-4)?
Answers
Answer:
Below.
Step-by-step explanation:
You haven't sent the graphs.
y - 3 = 3/2(x - 4)
y - 3 = 3/2x - 6
y = 3/2x - 3
- this is the slope intercept form of the graph.
It will be a straight line which rises to the right and passes through the y axis where y = -3. Also it has a slope of 3/2.
Wne y = 0 x = 2 so it passes through the x-axis at x = 2.
Answer:
The correct representation to the given function is graph A
7. Assume this policy has a deductible of $1,000 and a coverage limit of
$15,000. If tirere are personal property losses of $7,000 for a covered
event, which best describes how much both parties pay?*
Answers
Answer:
Insured person pays $1,000; insurance company pays $6,000
Step-by-step explanation:
Both parties pay $9000.
What is PEDMAS rule?PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.
Policy has a deductible of $1,000 and a coverage limit of $15,000.
Tirere are personal property losses of $7,000 for a covered event
Based on the given conditions, formulate
= 1000 + 15000 - 7000
= 16000 - 7000
= 9000
Both parties pay $9000.
Find out more information about the PEDMAS rule here:
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What is the midpoint of this interval? 50 < x ≤ 60
Answers
Add the two ends together and divide by 2:
50 + 60 = 110
110/2 = 55
The midpoint is 55
Answer:
55
Step-by-step explanation:
To find the midpoint, add the two endpoints and divide by 2
(50+60)/2
110/2
55
The midpoint is 55
What is the answer will rate you 5 stars
Answers
The format of the equation is in 'slope-intercept form'
--> y = mx + b
m: the slopeb: the value of the y-interceptIn this case, the line is missing its y-intercept
--> the y-intercept is where the x value of any coordinate is equal to '0'
--> in that case b = 5
Hope that helps!
Answer:5
Step-by-step explanation:
Plugging in (5) will solve all relations.
0 + (5) = 5
1+(5) = 6
2+(5) = 7
3+(5) = 8
4+(5) = 9
5+(5) = 10
6+(5) = 11
Suppose you carry out a significance test of H0: μ = 7 versus Ha: μ ≠ 7 based on sample size n = 28 and obtain t = 1.45. Find the p-value for this test. What conclusion can you draw at the 5% significance level? Explain.
Answers
Considering the given test, the p-value is of 0.1586, and the null hypothesis is not rejected at the 5% significance level.
What is the relation between the p-value and the decision?It depends it is less or greater than the critical value.
If it is less, the null hypothesis is rejected.If it is more, the null hypothesis is not rejected.In this problem, we use a t-distribution calculator, with t = 1.45, 27 df and a two-tailed test, as we are testing if the mean is different of a value. Doing it, the p-value is of 0.1586.
Since it is greater than 0.05, the null hypothesis is not rejected at the 5% significance level.
More can be learned about p-values at https://brainly.com/question/26454209
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answers
Answer: x>38
Step-by-step explanation:
By the exterior angle theorem, x=39+38=77.
Matt walked 1 mile in 15 minutes. At this rate, how many miles would he walk in 2 hours?
Answers
Answer:
8 miles
Step-by-step explanation:
In an hour there is 60 minutes. 15 minutes x 4 = 60 minutes
So multiply 1 mile for 4 to get 4 miles
Matt would walk 4 miles in 1 hour
Mutiply 4 by 2 to get the distance Matt would walk in 2 hours which would be 8 miles.
Answer:
Matt would walk 8 miles in to hours.
Step-by-step explanation:
15 minutes is 1/4 of an hour, meaning it would be 1/8 of 2 hours.
1 mile times 8 = 8 miles
Hope that helps!
The equivalent ratios are 6 : 3,
Answers
Answer:
2:1
Step-by-step explanation:
divide 6 by 3 to get 2 and divide 3 by 3 to get 1 making the awnser 2:1
Chloe has 4 sundaes for her friends. She has 12 8/9 ounces of sprinkles to put equally on the sundaes. How many ounces of sprinkles will be on each sundae?
Answers
Answer:
3(2/9) ounces of sprinkles each sundae (3.222222.....)
Step-by-step explanation:
12 divided into 4 = 3 ounces
(8/9)/4 is the same as (8/9) x(1/4) = 8/36 = 2/9
3 ounces and 2/9 ounces
Each sundae will have 3 2/9 ounces of sprinkles on it.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
Chloe has 12 8/9 ounces of sprinkles and 4 sundaes, so she will put 12 8/9 / 4 = 3 2/9 ounces of sprinkles on each sundae.
To break this down, 12 8/9 can be simplified to 12 + 8/9 = 12 + 8/9 = 12 + 4/9 = 12 4/9.
When we divide 12 4/9 by 4, we get 3 2/9.
So each sundae will have 3 2/9 ounces of sprinkles on it.
Learn more about the fraction here:
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what is c² + 6c - 6 if c = 4?
Answers
Answer:
34
Step-by-step explanation:
In order to solve this problem, you would have to plug-in 4 in letter c.
So the equation would go from:
c² + 6c - 6 to
(4)² + 6(4) - 6
4 to the square power is 16
6 times 4 is 24
So you would write this equation next
16 + 24 - 6
after adding and subtracting you should get 34 as your final answer.
Hope this helps!
SIDE NOTE: REMEMBER TO FOLLOW THE RULES OF PEMDAS WHEN ANSWERING THESE PROBLEMS!
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
34
Step-by-step explanation:
In order to solve the equation, all you would have to do is substitute your answer by the number given. It would look something like this:
(4)^2+6(4)-6
Remember to follow PEMDAS when solving it.
(4)^2 --> 4*4=16
6(4)=24
16+24-6=34
So, your final answer would be 34.
Plan 1 costs $35 per month + $5 per gigabyte of extra data used
Plan 2 costs $50 per month + $2 per gigabyte of extra data used
Answers
The computation of the equation shows that the extra data that will be used to have the same amount will be 5 gigabytes.
How to compute equation?Let the amount of extra data used be represented by x.
Plan 1 = 35 + (5 × x) = 35 + 5x
Plan 2 = 50 + (2 × x) = 50 + 2x
35 + 5x = 50 + 2x
Collect like terms
5x - 2x = 50 - 35
3x = 15
x = 15/3 = 5
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convert 0.001 * km ^ 3 into m ^ 3
Answers
Answer:
[tex]1,000,000 \: {m}^{3} [/tex]
Step-by-step explanation:
[tex]0.001 \: {km}^{3} \\ \\ = 0.001 \times {(1000)}^{3} \\ \\ = 0.001 \times 1,000,000,000 \\ \\ = 1,000,000 \: {m}^{3} [/tex]
Natalie can hop 24 times in 8 minutes at a constant rate. How many times can she hop in 7 minutes?
Answers
Answer:
in 7 mins she can hop 21 times
Step-by-step explanation:
24 divided by 8 = 3
24-3=21
Answer:
Natalie can hop 21 times in 7 minutes
Step-by-step explanation:
To figure out how many times she can hop in 7 minutes you need to find the average hop each minute.
First, you write 24/8. You simply that to 3/1.
So Natalie can jump 3 times in 1 minute.
If you want 7 minutes, you multiply 1 by 7, and 3 by 7, which gets you 21 hops for 7 minutes.
-I hope this helps!