Answer:
The height of the totem tree is approximately 172.8ft
Step-by-step explanation:
Hello,
To find the height of the totem pole, we need to use our date to make a pictorial representation so that we can know if the pole and base makes a right angle triangle with the angle of elevation.
See attached document for better illustration.
Let T represent the height of the pole.
Using trigonometric ratio,
SOHCAHTOA, we can use tangent since we have our adjacent and we're to solve for the opposite.
Tanθ = opposite/ adjacent
Opposite = T
Adjacent = 20ft
θ = 83.4°
Tan83.4 = T / 20
T = 20Tan83.4
T = 20 × 8.64
T = 172.8ft
The height of the totem tree is approximately 172.8ft
Evaluate each expression for the given values of the variables: |a−b| − |c+d| , if a=−5; b=4; c=1; d=−3
Answer:
11
Step-by-step explanation:
|a−b| − |c+d|
Let = a=−5; b=4; c=1; d=−3
|-5−4| − |1+-3|
|-9| − |-2|
Absolute values means take the non-negative value
9 + 2
11
Answer:
7
Step-by-step explanation:
| a - b | - | c + d |
Plug in the values for the variables.
| -5 - 4 | - | 1 + -3 |
Evaluate.
| - 9 | - | -2 |
Apply rule : | -a | = a
9 - 2
Subtract the numbers.
= 7
A circular track is 1000 yards in circumference. Cyclists A, B, and C start at the same place and time, and race around the track at the following rates per minute: A at 700 yards, B at 800 yards, and C at 900 yards. What is the least number of minutes it mus take for all three to be together again?
Answer:
B gains 100 yards every minute. So, after 10 minutes, B has lapped A once.
C gains 100 yards on B every minute, so after 10 minutes C has lapped B.
Thus, after 10 minutes, A has gone 7 laps, B has gone 8 laps, C has gone 9 laps, and all are even again.
In one design being considered for the containers shaped like a rectangular prism, each
container will have a height of 114 inches and length of 74 inches. What will be the within
inches, of the container?
A.3
B.4
C.14
D.15
Answer:
your answer is A 3 inches
In ∠QRS, m∠R=65°, and m∠S=35°. Which side of ΔQRS is the longest?
Answer:
The longest side of the ΔQRS is Side RS.
Step-by-step explanation:
Given: m∠R=65°, m∠S=35° we don't know what m∠Q is in ΔQRS.
To find m∠Q , we first need to know that all triangles have a sum of 180°. Since we are already given two angle measurements ( m∠R and m∠S) we can add them both measurements up which gives us 100°. Then we subtract 100 from the triangle sum which is 180° (180°-100°) and we are left with 80°. Which mean that m∠Q got to be 80°.
Now we know the all the angles measurements we can immediately find out which side is the longest. To find the longest side its always lie opposite the largest angle which in this m∠Q (80°). Which mean that side RS is the longest side in the triangle.
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!! Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.
Answer:
A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand.
Step-by-step explanation:
Answer:
WHEN U GRAPH WITH A CALCULATOR IT IS MUCH MORE ACCURATE
ESPECIALLY IF THERE R FRACTIONS AND DECIMALS AND THE GRAPHING CALCULATOR GOES ON FOREVER WHERE AS THE GRAPHING PAPER ENDS
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Help me please
I’m having so much trouble
Answer:
Step-by-step explanation:
5 * 45 = 225
225+75=300
300/500=0.6
The tank will be 60% full.
If this helped, make sure to mark it as brainliest :D
Answer:
C.60%
Step-by-step explanation:
45 x 5 = 225 225 + 75 = 300
300 / 500 = 0.6 = 60%
what is the value of x? enter your answer in the box
Answer:
[tex]\boxed{x = 45\ degrees}[/tex]
Step-by-step explanation:
x = 180 - 80 - 55 (Interior angles of a triangle add up to 180 degrees so if we need to find any unknown angle, we'll subtract all the other angles from 180)
x = 45 degrees
Answer: 45
Step-by-step explanation:
The sum of a triangle's angles will always be 180 degrees. If we subtract 80 and 55 from 180, we will get the missing angle.
[tex]180-80-55=45[/tex]
Thus, the missing angle is 45 degrees.
11. How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from
yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer.
Manatee Springs
Elephant
House
3,500 yds
4,200 yds
Train Depot
2,000 yds
Bird Sanctuary
Main Gate
(SHOW WORK)
Answer:
6 km
Step-by-step explanation:
Let us assume the following items
the Point at Train depot = T
The Point at Main gate = M
The Point at Bird sanctuary = B
The Point at Elephant house = E
The Point at manatee Springs = S
As we can see that there are two triangles namely TMB and TSE.
Mentioned that
MTB = ∠STE
∠TMB = ∠TSE
∠TBM = ∠TES.
According to the Angle-angle-angle (AAA similarity)
So, the triangles TMB and TSE are the same.
[tex]\frac{TM}{TS} = \frac{TB}{TE} \\\\ \frac{TM}{4,200} = \frac{2,000}{3,500}[/tex]
So, the TM is 2400 yds
Now the Distance between Main gate M and manatee Spring S is
MS = MT + TS
= 2,400 + 4200
= 6600 yds
Now the MS is
= 6600 × 0.0009144 km
= 6.035 km
≅ 6 km
What is 1x1+5 hehe lol
(Please help ) Find the value of x in the isosceles triangle shown below
Answer:
x=2
Step-by-step explanation:
Using the formula, a squared plus b squared equals c squared, we can see that 4 squared=16, so x=2.
To check our work, let's use the formula. 4 squared+2 squared=16+4=20.
The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probability that the next failure will not occur before 30 months have elapsed
Answer:
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Step-by-step explanation:
Using Poisson distribution where
t= number of units of time
x= number of occurrences in t units of time
λ= average number of occurrences per unit of time
P(x;λt) = e raise to power (-λt) multiplied by λtˣ divided by x!
here λt = 25
x= 30
P(x= 30) = 25³⁰e⁻²⁵/ 30!
P (x= 30) = 8.67 E41 * 1.3887 E-11/30! (where E= exponent)
P (x=30) = 1.204 E31/30!
Solving it with a statistical calculator would give
P (x=30) = 0.0454
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Henry rented a truck for one day. There was a base fee of 15.99 , and there was an additional charge of 79 cents for each mile driven. Henry had to pay 115.58 when he returned the truck. For how many miles did he drive the truck?
Subtract base fee from total then divide by price per mile:
115.58 - 15.99 = 99.59
99.59 / 0.79 = 126.063 miles
Round the answer as needed.
Find the values of k so that the area of the triangle with vertices (1, -1), (-4,2k) and (-k, – 5) is 24 sq. units
Step-by-step explanation:
We need to find the value of k so that the triangle with vertices (1, -1), (-4,2k) and (-k, – 5) is 24 sq. units.
The area of triangle is given by :
[tex]A=\dfrac{1}{2}\times [x_1(y_2-y_3)-x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]
Here,
x₁ = 1, y₁ = -1, x₂ = -4, y₂ = 2k, x₃ = -k and y₃ = -5
So,
[tex]24=\dfrac{1}{2}\times [1(2k-(-5))-(-4)((-5)-(-1))+(-k)((-1)-(2k))][/tex]
We need to solve the above equation,
[tex]48=[1(2k-(-5))-(-4)((-5)-(-1))+(-k)((-1)-(2k))][/tex]
On solving the above equation we get the value of k as :
k = 4.7
Please give me the correct answer
Answer:
e=9.14
Step-by-step explanation:
e²=a²+b²-2abcosФ
e²=36+25-2(30)cos112
e=√36+25-2(30)cos112
e=9.14
Dale is in a ski rental shop trying to decide which equipment to rent for the day. The shop offers 4 kinds of skis and 3 kinds of poles. A helmet is always a good idea, and the shop has 8 different helmets available. How many different sets of ski equipment can Dale rent? sets
Answer:
96
Step-by-step explanation:
Simply multiply all the numbers together.
4 * 3 = 12
12 * 8 = 96
There are 96 possible combinations.
If this helped, please mark brainliest :D
Answer: 12 poles and 16 helmets
Step-by-step explanation:
3+4 =8
-4= -4
1.7
There were 56 females and 84 males present at the high school pep rally. Find the ratio of males to the total number of people present. Express as a simplified ratio.
Answer:
3:5 or 3/5
Step-by-step explanation:
We know that there are -->
56 Females
84 Males
We need to find the total amt. of ppl
56 + 84 = 140
Males/140 --> Plug 84 in => 84/140
Since it wants simplified, divide both by 7 as 7 is a factor of both -->
12/20 --> Divide by 4
3/5 => This is the most simplified we can get and -->
thus, our answer is 3:5 or 3/5
Hope this helps!
George spent $40.80 on 3 identical files and 2 identical pencil cases. Each file cost $5.40 less than a pencil case. How much did George pay for each file?
Answer:
He spent $6 on each file
Step-by-step explanation:
Hello,
To solve this question, we need to bring out our variables from the equation.
He spent $40.80 for 3 files and 2 pencil cases
Let x represent the file
Let y represent the pencil case
But the file is $5.40 less than each pencil case
x = y - 5.40.....equation (i)
40.80 = 3x + 2y .......equation (ii)
Substitute equation (i) into equation (ii)
40.80 = 3(y - 5.40) + 2y
40.80 = 3y - 16.20 + 2y
Collect like terms
40.80 + 16.20 = 3y + 2y
57 = 5y
Solve for y
y = 57 / 5
y = 11.4
The pencil case costs $11.4 each.
Put y = 11.4 into equation (i)
x = 11.4 - 5.40
x = 6.0
The file costs $6 each
The vertex of this parabola at (-5,-2). When the c - value is -4 the y-value is 2 what is the coefficient of the squared expression in the parabolas equation. ( to answer gets brainliest )
Answer:
4
Step-by-step explanation:
The vertex formula of a quadratic equation is:
●y= a(x-h)^2 +k
(h,k) are the coordinates of the vertex
Here: h = -5 and k= -2
y is 2 and x is -4
● 2 = a (-4-(-5))^2 + (-2)
● 2 = a (-4+5)^2 -2
● 2 = a *1^2 -2
● 2 = a -2
● 4 = a
Q7-8 PLEASE HELP ME
Answer:
(-4,-7)
Step-by-step explanation:
Use the online graphing calculator called Desmos. That's what I did. Just input the two equations and it'll show you the completed graph. I hope this help you:)
Which describes how square S could be transformed to square S prime in two steps? Assume that the center of dilation is the origin. A.) a dilation by a scale factor of Two-fifths and then a translation of 3 units up B.) a dilation by a scale factor of Two-fifths and then a reflection across the x-axis C.) a dilation by a scale factor of Five-halves and then a translation of 3 units up D.) a dilation by a scale factor of Five-halves and then a reflection across the x-axis
Answer:
The correct option is;
A.) A dilation by a scale factor of two-fifths and then a translation of 3 units up
Step-by-step explanation:
The given information are;
Square S undergoes transformation into square S'
From the figure, the dimension of S' = 2/5 dimension of S
Therefore, the scale factor of the dilation is two-fifths
The center of dilation = The origin
Therefore, given that the top right edge of S is at the center of dilation, the initial location of the dilated figure will be (0, 0), (2, 0), (2, -2), and (0, -2)
Given that the lowermost coordinates of S' are (0, 1) and (2, 1), and the lowermost coordinates of the initial dilation are (0, -2) and (2, -2), we have that the translation to S' from the initial dilation is T (0 - 0, 1 - (-2)) = T(0, 3) which is 3 units up.
Answer:
A
Step-by-step explanation:
let [tex]p=x^{2}+6[/tex]
Which equation is equivalent to [tex](x^{2}+6)^{2}-21=4x^{2}+24[/tex] in terms of [tex]p[/tex]?
Answer:
Hello There. ☆~---~--___●♡●__~--☆ Since p = x² - 7, you can substitute/plug in p for x² - 7
So:
(x² - 7)² - 4x² + 28 = 5
(p)² - 4x² + 28 = 5 You can factor out -4 from (-4x² + 28)
p² - 4(x² - 7) = 5 Plug in p
p² - 4p = 5 Subtract 5
p² - 4p - 5 = 0 And, your correct answer is C.
Hope It Helps!~
ItsNobody~ ☆
Many websites have ads whose appearance is based onprobability. Advertisers pay the website based on the number of timesthe ad appears.a. The probability that an ad appears when a particular website isloaded is 0.2. The website gets 2000 hits a day. About how manytimes does the ad appear?b. The probability that an ad appears when a particular website isloaded is 0.05. About how many hits must the website have for thead to appear 1000 times?
Answer:
A. How many times the ad appear:
= 400 times
B. How many hits the website must have for thread to appear 1000 times with 0.05 probability that an ad appears when the website is loaded.
= 20,000 hits
Step-by-step explanation:
A. The probability that an ad appears when a particular website is loaded = 0.2
When the website gets 2,000 hits a day, the ad appears
= 2,000 x 0.2
= 400 times
B. When the probability that an ad appears when the website is loaded is 0.05.
Therefore, the website must have 20,000 hits for thread to appear 1,000 times
= 1,000/0.05
= 20,000 times
The probability of an ad appearing when a website is loaded is the chance that the event happens (i.e. the ad appears) from the many events that can happen.
Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold
10 senior citizen tickets and 8 child tickets for a total of $170. The school took in $185 on the
second day by selling 10 senior citizen tickets and 11 child tickets. Find the price of a senior
citizen ticket and the price of a child ticket.
A) senior citizen ticket: $13, child ticket: $5 B) senior citizen ticket: $12, child ticket: $7
C) senior citizen ticket: $5, child ticket: $13 D) senior citizen ticket: $21, child ticket: $6
Answer:
A
Step-by-step explanation:
If you play around with each of the answers, you'll find that 13*10=130 (where $13 is the cost of each of 10 senior tickets) plus 5*8=40 (where $5 is the cost of each of 8 child tickets) equals $170.
Hope this helps!! <3
The price of a senior citizen and child ticket is required.
The correct option is A) senior citizen ticket: $13, child ticket: $5
System of linear equationsLet [tex]x[/tex] be the price of senior citizen ticket
[tex]y[/tex] be the price of child ticket
The equations will be
[tex]10x+8y=170[/tex]
[tex]10x+11y=185[/tex]
Subtracting the equations
[tex]-3y=-15\\\Rightarrow y=\dfrac{-15}{-3}\\\Rightarrow y=5[/tex]
Finding [tex]x[/tex]
[tex]10x+8y=170\\\Rightarrow x=\dfrac{170-8y}{10}=\dfrac{170-8\times 5}{10}\\\Rightarrow x=13[/tex]
Learn more about system of linear equations:
https://brainly.com/question/14323743
What is the least common denominator of the rational expressions below?
Answer:
x(x-3) ( x+4)
Step-by-step explanation:
2 5
---------- + ------------
x^2 -3x x^2 + x - 12
Factor the denominator
2 5
---------- + ------------
x(x -3) (x-3) (x+4)
The common denominator is
x(x-3) ( x+4)
Explain how you would decide whether to use a dot plot or a box plot to display a data set. Give some strengths and weaknesses of each type of display to support your explanation.
Answer:
A box plot should be used in a situation when you need the median and quartiles. A dot plot should be used when you need exact numbers. The strengths of a box plot is that it shows a big data sets into a rounded form. The strengths of a data set is that you can show the exact numbers but it would work best with small numbers.
Hope this helped?
need help asap use the screen shot
Answer:
7 and 37
Step-by-step explanation:
Imagine our 3rd side becoming smaller and smaller. In the ultimate case the triangle will be a flat line, and the two other lines overlap. The third line will have to be 7, to get from 15 to 22 (22-15=7).
Likewise, if the line increases and increases, again you'll endup with a flat line, but now the two otherlines will span the entire third line, so its length is the sum, i.e., 15+22 = 37
Please answer question now
Answer:
The answer is 11.
by using cosine rule we can easily get the answer of this question.
I hope it will help u....
Suppose xy > 0. Describe the points whose coordinates are solutions to the inequality. please answer in detail
Answer
so,if x*y> than zero, we know that neither x nor y can be zero, because anything multiplied by zero is equal to zero. now , we also know, that a negative times a negative is positive, and a positive times a positive times a positive is a positive
Step-by-step explanation:
Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $52 and then they charge her $8 per hour. She has $144 Available to spend on a car rental. What is the greatest number of hours for which she can rent the car?
Answer:
11 hours
Step-by-step explanation:
First, you have to subtract 144-52= 92. After the initial fee, she has 92 dollars to spend on the car. Then, you divide 92 by 8 because it costs 8 dollars an hour. And this gets you 11.5 which you would have round down because she can't pay for the extra hour. She does not have enough money.
The Greenpoint factory produced two-fifths of the Consolidated Brick Company’s bricks in 1991. If the Greenpoint factory produced 1,400 tons of bricks in 1991, what was the Consolidated Brick Company’s total output that year, in tons?
Answer:
3500 tons
Step-by-step explanation:
The Greenpoint factory produced 2/5 of the bricks that the Consolidate Brick Company produced in 1991.
Let the amount of bricks produced by the Greenpoint factory be g and the amount of bricks produced by the Consolidated brick company be c.
Therefore:
g = 2/5 * c = 2c/5
That year, the Greenpoint factory produced 1400 tons of bricks. This implies that:
1400 = 2c/5
To find the amount that the Consolidated Brick Company produced, solve for c:
1400 = 2c/5
1400 * 5 = 2c
7000 = 2c
c = 7000 / 2 = 3500 tons
The Consolidated Brick Company had a total production output of 3500 tons in 1991.