Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:
[tex]\tan{16^\circ} = \frac{1}{x_1}[/tex]
[tex]x_1 = \frac{1}{\tan{16^\circ}}[/tex]
[tex]x_1 = 3.5[/tex]
Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:
[tex]\tan{74^\circ} = \frac{1}{x_2}[/tex]
[tex]x_2 = \frac{1}{\tan{74^\circ}}[/tex]
[tex]x_2 = 0.3[/tex]
The distance is:
[tex]d = x_1 - x_2 = 3.5 - 0.3 = 3.2[/tex]
The shuttle traveled 3.2 miles while Marion was watching.
More can be learned about the slope concept at https://brainly.com/question/18090623
at a town fair it cost 9$ to enter and 1.50$ on each ride. represent this function in at least three ways
Answer:
1 2 3 ways for it to function
Step-by-step explanation:
The equation is C=35+4n.
If C= 500 what would N be? Please I really need the answer
Answer:
116.25 or [tex]\frac{465}{4}[/tex]
Step by Step Explanation;
500=35+4n
Subtract 35 from both sides
465=4n
[tex]\frac{465}{4}=n[/tex]
[tex]116.25=n[/tex]
Hope This Helps! :) Please Mark as Brainliest!
Alex wants to measure lengths of rope for a knot-tying activity at camp What is the best customary unit of measurement for Alex to use to measure the rope? Why?Help I'm stuck. thank u
Answer:
The best customary unit of measurement to measure the lengths of the rope for knot-tying would be:
Inches (in.)
Alex can also use feet, yards, and miles, but Inches are the best measurement to use in this situation.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Solve the math problem
Answer:
5
Step-by-step explanation:
slope: increase in y ÷ increase in x
slope: (45-15)÷(9-3)
slope: 30÷6
slope: 5
The baseball game started at 7:00 p.m. It ended at 9:15 p.m. How long did
the baseball game last?
For 7 points and brainliest to the best correct answer, find the missing measures. Question is in photo, thanks.
Answer:
X = 2
AB = 39
CB = 27
Step-by-step explanation:
Since it's a parallelogram (two pairs of parallel sides), we can set each opposite side equal to each other. We know the equation for two opposite sides, side AD and side CB, therefore:
[tex]AD=CB\\14x-1=9x+9\\5x=10\\x=2[/tex]
Now that we know x, we can solve the other equations:
[tex]12x+15=AB\\12*2+15=AB\\24+15=AB\\39=AB[/tex]
And:
[tex]9*2+9=CB\\18+9=CB\\27=CB[/tex]
Find the slope of the line containing the points (-2, -3) and (-4, 1).
Answer:
- 2
Step-by-step explanation:
Slope, m = (y1-y2)/(x1-x2)
= ( -3 -1)/(-2- -4) =
-4 / ( 2) = - 2
Sloep:-
m=1-(-3)/-4-(-2)m=1+3/-4+2m=4/-2m=-2Mr. warren has a bag of nails assorted lengths. he asks his sons paul and tim to sort them by length. paul pours 3/4 of the bag of nails out and sorts them. he makes a chart showing the number of nails of each length.
later, Tim sorts the rest of the nails approximately how many 1-inch nails can tim expect to find in the rest of the nails? 100 pts
Answer:
Step-by-step explanation:
he has 1/4 remaining as he has only used 3/4
Which of the following is equivalent to 24:72?
a. 1:3 b. 2:4 c. 2:3 d. 3:1
Answer: 1:3 A
Step-by-step explanation:
if you multiply 24 by 3 you get 72 it shows that 1:3 is equivalent! your welcome
Use the Distributive Property to expand 4(x+3)
Answer:
4x+12
Step-by-step explanation:
4(x+3)=4x+12.
You use the distributive property by multiplying both numbers in the parentheses by 4
Answer:
4x +12
Step-by-step explanation:
Distributive property: a*(b + c) = (a *b)+(a *c)
Here, a = 4 ; b = x and c = 3
4*(x + 3) = 4*x + 4*3
= 4x + 12
In order to be successful in taking math exams, what are some important test taking strategies?
Answer:
Hope this helps =)
Step-by-step explanation:
Read the questions carefullyBookmark questions you don't know or are unsure aboutStudy before the day of the testGet enough sleep the day before the testEat a good breakfast the day of the testRecheck problemsWork it outPlease help!! 40 Points!!!!!
Answer:
see explanation
Step-by-step explanation:
A
when 2 equal bases are being multiplied together their exponents are added together, that is
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
B
[tex]12^{5x}[/tex] × [tex]12^{-7}[/tex] = [tex]12^{5x-7}[/tex]
C
[tex]x^{4}[/tex][tex]y^{6k+2}[/tex] × x²[tex]y^{-1}[/tex]
= [tex]x^{4}[/tex] × x² × [tex]y^{6k+2}[/tex] × [tex]y^{-1}[/tex]
= [tex]x^{(4+2)}[/tex] × [tex]y^{(6k+2-1)}[/tex]
= [tex]x^{6}[/tex][tex]y^{6k+1}[/tex]
#A
a^b+a^c=a^b+c#B
12^5x×12^-712^5x-7#C
x⁴y^6k+2×x²y^-1x⁶y^6k+2-1x⁶y^6k+1find a area of a circumference that is 13 ft for 3.14 π
Answer:
4.14x3.14=12.9996
Step-by-step explanation:
This is the closest to 13 ft via circumference
Here is a few equations a dn formulas to remind you.
Area=3.14xRxR or Pi*rr
This is Pi times the radius times the radius.
The radius is half of the circle or half of the Diameter.
Area(semi-circle)=1/2x3.14xrxr
Circumfrence=3.14xDor 3.14xdiameter
If this answer helped pls give brainlest.
in need help in this
Answer:
Vertex form is
[tex]a(x - h) {}^{2} + k = y[/tex]
where (h,k) is the vertex
So our vertex form is
[tex]a(x - 3) {}^{2} + 5 = y[/tex]
It passes through (6,0) so we have
[tex]a(6 - 3) {}^{2} + 5 = 0[/tex]
Solve for a.
[tex]a(3) {}^{2} + 5 = 0[/tex]
[tex]a(9) = - 5[/tex]
[tex]a = \frac{ - 5}{9} [/tex]
So our equation is
[tex] - \frac{5}{9} (x - 3) {}^{2} + 5[/tex]
Coach Morton is going on vacation! He drives 7.5 hours at an average speed of 35mph. How many miles did he travel?
Answer:
4.7m
Step-by-step explanation:
35/7.5
=4.7m
Am sure am correct
Yo I need to bring up my grade bad so
2x=5+y
(please show it graphed already :D)
Answer:
Step-by-step explanation:
The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8in. of the actual side length.
Answer:
And the answer may be 3/8 and 11/8 (among an infinite amount of different rational numbers less than 188 of the actual side length), as shwon below.
Explanation:
1) Calculate the side length of the bulletin board in the shape of a square:
The area of a square is equal to the square of length of the sides
A = x²
Substitute A = 150 unit²
150 = x²
Extract square root of both sides:
2) Find two rational numbers that are within, this is they are less than, 1/8 of the actual side length:
Since, 12² = 144 and 13² = 169, the square root of 150 is between 12 and 13.
Then, you can pick any two whole numbers less than 13 and multiple them by 1/8.
Remember that multiplying by 1/8 is the same that dividing by 8.
Choose 12 and 11, for instance, and two rational numbers that are less than 1/8 of the actual side length are 12/8 and 11/8.
12/8 can be simplified to 3/2 and 11/8 is in its simplest form.
Thus, two rational numbers that are within 1/8 of the actual side length of the bulletin board are 3/2 and 11/8.
Step-by-step explanation:
hope this helps if does mark brainllest pls! :)
Area:-150sq units
Side be aNow
a²=150a=√150a=√2×3×5×5a=5√6Now
Scale factor=1/8So
new side length:-
1/8(5√6)5/8√6Select the correct answer. Which graph represents this equation? y − 4 = -3(x + 5) A. B. C. D.
Find the gradient of the line segment between the points (1,2) and (3,-8)?
Answer:
-5
Step-by-step explanation:
[tex]gradient=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
=[tex]=\frac{-8-2 }{3-1}[/tex]
=-5
Hope it helps:)
[tex]\textsf{The gradient of a line passing through two}[/tex][tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]
[tex]\green{ \underline { \boxed{ \sf{ Gradient =\frac{y_2-y_1}{x_2-x_1}}}}} [/tex]
Here,
[tex]\sf{x_1= 1}[/tex][tex]\sf{y_1=2}[/tex][tex]\sf{x_2=3}[/tex][tex]\sf{y_2= -8}[/tex]
Putting Values:-
[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf Gradient =\frac{-8-2}{3-1} \\\end{gathered} \end{gathered} [/tex]
[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{\cancel{-10}}{\cancel{2}} \\\end{gathered} \end{gathered} [/tex]
[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf -5 \\\end{gathered} \end{gathered} [/tex]
>>The gradient of the line segment is -5
What do we do to both sides of this equation to solve?
x+3=5
Question 1 options:
Subtract 3 from both sides
Add 3 to both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
Subtract 3 from both sides.
Step-by-step explanation:
x + 3 = 5
x = 5 - 3
x = 2
I know I`m late sorry, still wanted to answer
. _ .
Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?
The total amount paid for the mortgage will be $123750 and the cost of the mortgage is $178750.
How to calculate the mortgage?From the information, Kerri takes out a mortgage for $55,000 at 9% for 25 years. The total amount paid will be:
= ($55,000 × 9% × 25)
= $123750
The cost of the mortgage will be:
= $55000 + $123750
= $178750
The monthly payment will be:
= ($55000 + $123750) / 25 years
= $178750/(25 × 12)
= $178750/300
= $595
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PLEASE HELP WILL GIVE BRAINLIST HURRY PLS
Answer:
we know the trapezoids are similar, so that means all sides are at a ratio, thus
that means from the model to actual, the scale is 1:12, so the large side is 12 times as large.
so for the large trapezoid
EF = 6 * 12 =... 72
EH = 4 * 12 =.. 48
HG = 3 * 12 = ..36
GF = 3 * 12 =...36
72+48+36+36 = 192.
Step-by-step explanation:
Can someone help me with these I really don’t understand no matter what I try
Answer:
Step-by-step explanation:
This are 3 triangles
One big one, that is divided into 2
Of the 2 triangles one is smaller than the other
So
inside the big trangle we have:
Small triange (Small side = 8/ Median side = y /large side =12
Median triangle(small side = y/ Median side = x/ Large side = z
And then the 2 triangles make a big triangle:
Large triangle (small side=12/ Median side= z/ Large side = 8+x
Which expression is equivalent to sin7π/6?
Answer:
-6
Step-by-step explanation:
The answer is: 7π6=−π6
π= 3.14 or 22/7
so 7x3.14= 21.98
than divide by 6
How many times greater is 7,000,000( 7 million ) than 700,000(700 thousand)?
Answer:
6300000
Step-by-step explanation:
7,000,000-700,000=6300000
Answer:
10 times greater
Step-by-step explanation:
Which equation can be used to find the area of the parallelogram 4cm and 6cm and 10cm
what value of w makes the following equation true?
w+4 1 over 5 = 13 19 over 20
Answer:
13.15
Step-by-step explanation:
URGENT!!! HELP!!!
You spend a $20 per turn on a fair game to win $50 for each win. You lose the first round but win the next two rounds.
What was the net payoff?
$100
-$60
-$30
$40
The net payoff obtained during the game is $40. Option D is the correct answer.
What is net payoff?The term "net payoff" describes the profit or loss realised from a transaction or operation after deducting all costs, charges, and taxes. It is determined by deducting the total cost of the activity or investment from the total income received. A gain is shown by a positive net reward, whereas a loss is indicated by a negative net payoff.
Given that, each round cost $20, and each win gives $50.
Now, for 3 rounds the total cost is:
$20 x 3 = $60
After winning the two round the win amount is:
$50 x 2 = $100
Now, the net payoff is:
$100 - $60 = $40.
Hence, the net payoff obtained during the game is $40. Option D is the correct answer.
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Answer number 14. It’s very difficult for me and i need some help.
Answer:
1201.2 in (100.1ft)
Step-by-step explanation:
A scale model represents a ratio. All sides must be shrunk or increased based on a constant value. In this case the ratio of the model is 1/13 the size of the original giving us a 1:13 ratio. So each side of your scale model must be multiplied by 13 to find the real value of the side.
First convert all units to inches then divide the width of the real windmill by the width of the scale model (both in inches) you will see the answer is 13. Multiply the inch values of all sides of your model by 13 and this gives you the proportional value of each side of the real windmill in relation to the scale model.
A small organic food store makes two types of fruit smoothies: tropical and sport. Each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. Each sport smoothie uses 3 oz of orange juice and 3 oz of milk. The store buys the orange juice in a 210-oz container and milk in a 150-oz container. The store sells the tropical smoothies for $4 and sells the sport smoothie for $3. What is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk?
A) $100
B) $110
C) $150
D) $280
Please show steps and explain
Answer: $150
the sports drink is only 25% smaller in the price compared to the tropical
but is 2-3 times fewer supplies than the low pretty convenient but the most you get from the tropical is $92
the most you can stink out of this sum is $150
Step-by-step explanation:
Answer:$150
Step-by-step explanation:
the sport drink is only 25% less in the price compared to the tropical...
but is 2-3 times less supplies than the tropical... pretty convenient but the most you get from the tropical is $92
the most you can suck out of this total is $150
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