Answer:
The distance to the top of the balloon is approximately 33.977 meters
Step-by-step explanation:
The (horizontal) distance from the hot air balloon from the observer, l = 30 m
The angle of elevation to the top of the balloon, θ = 28°
With the balloon standing upright, the distance to the top of the balloon, d, the height of the balloon, h and the horizontal distance to the balloon, l, form a right triangle, where;
d = The hypotenuse side
l = The leg adjacent to the reference (given) angle,
h = The leg opposite to the given angle, θ
By trigonometric ratios, we have;
[tex]cos\angle X = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]
From which we get;
[tex]cos\angle \theta = \dfrac{l}{d}[/tex]
[tex]cos(28^{\circ}) = \dfrac{30 \ m}{d}[/tex]
[tex]d = \dfrac{30 \ m}{cos(28^{\circ}) } \approx 33.977 \, m[/tex]
The distance to the top of the balloon, d ≈ 33.977 m
what does the challenges do?
Answer:
question that must be answered in a given time for a lot of points
Answer:
so if you do them the percentages will increase and you will get points so gou can ask questions i did one and spent all 100 just for someone to translate im s-t-u-p-i-d and then i commented no youre not
help jekrjrifirnrifjrnrifn
Answer:
c
I hope it's the right answer
Customers can pick their own cherries at cherry hill. they pay $4 to enter the farm and $3.50 per pound for the cherries they pick. write an equation to model the total cost, y, for x pounds of cherries
Answer:
The Equation would be $4 + $3.50x = y
Step-by-step explanation:
Monique borrows $5000 for 3 years at 8% per annum simple interest.
How much interest is she charged?
What total amount must she repay?
Answer:
1200 dollars for interest, she must pay 6200
Step-by-step explanation:
8 percent of 5000 is 400 times 3 (years) is 1200
Answers:
a) $1200 in interest is charged.b) $6200 must be paid back in total.=============================================
Work Shown:
a)
i = P*r*t
i = 5000*0.08*3
i = 1200 is charged in simple interest
---------------------------
b)
She must pay back the amount borrowed ($5000) which is the principal as well as the interest calculated in part a) earlier.
The total amount she must pay back is 5000+1200 = 6200 dollars
Two circles have a scale factor of 3:2. What is the ratio of the circumferences of these circles?
A. 12:26
B. 13:12
C. 9:4
D. 3:2
Answer:
3:2
Step-by-step explanation:
The circumference is a distance. The ratio of the distance is the same as the scale factor. The ratio of the areas is the ratio of the scale factor squared and the volume is the scale factor cubed.
A die has 6 faces numbered 1 to 6.On a single roll of die,find the probability of not getting the number 6
Step-by-step explanation:
probability of not getting six=5/6
is your answer
HELP ASAP PLEASEE
I WILL MARK BRAINLIST
8.
Find the slope of the in line containing the ordered pairs. (7 marks)
a. A(2,-5), B(-2,6)
Answer:
= -11/4
Step-by-step explanation:
To find the slope given two points
m = ( y2-y1)/(x2-x1)
= (6 - -5)/(-2 -2)
= (6+5)/(-2-2)
= 11/-4
= -11/4
Answer:
-2.75 (-2 3/4)
Step-by-step explanation:
you can do rise of a run whenever you have two points so you have 6-(-5)/-2-2 and solve so -11/4 and that equals -2.75.
What is the product of (3a)(-6b)(-4)?
Which of
below equations has a graph that passes
through the points (2, 3) and (0,-1) ?
Answer:
D
Step-by-step explanation:
Point slope formula y-y1=m(x-x1)
slope formula y1-y2/x1-x2
Points provided (2, 3) and (0,-1)
Let's find the slope. To find slope we need to plug in our numbers in the slope formula (y1-y2/x1-x2)
3-(-1)/2-0
4/2
=2
so slope (m) is 2
Now let's plug this in our point-slope formula (y-y1=m(x-x1)) with one pair of points (2,3)
y-3=2(x-2)
so, therefore, our answer is D!
HURRYYYY. which linear inequality is represented by the graph?
Answer:
C
Step-by-step explanation:
i did this in 6th grade too man i gotchu
Please help, giving Brainliest and 50 points!
Answer:
5^8
Step-by-step explanation:
Hey,
Know out exponent division propety knowledge. We can solve.
5^12/5^4 = 5^12-4=5^8
Hope this helped,
Joe Louis2
Answer:
5^8
Step-by-step explanation:
We know that a^b ÷ a^ c = a^ ( b-c)
5^12 ÷ 5^4 = 5^ (12-4) = 5^8
Carly is buying deli meat for her lunches this week. Turkey is on sale for $5.80 per pound. If Carly buys 1.25 pounds of turkey, how much money does she spend?
Answer:
Carly will have to spend $7.25
Step-by-step explanation:
We know that:
1 pound of turkey = $5.80
To find how much 1.25 pounds of turkey will cost, multiply:
5.80 x 1.25 = 7.25
Therefore, 1.25 pounds of turkey will cost $7.25
I really hope this helps!
-SpaceMarsh
Solving right triangles
Answer:
i can see the actual question, what is it?
In right triangles one of the angles will always be 90 degrees.
So if you had a right triangle with one right angle, a number, and a number, they always have to add up to 90 degrees as well, because a triangle is always 180 degrees
so
side a = 90side b = xside c = yx + y = 90x + y + 90 = 180Layla and Bobby are making potholders with their grandmother. They have a total of 1.5 yards of fabric they can use, and it takes one-eighth of a yard to make each potholder. What is the maximum number of potholders they can make?
may I please have help from anyone thank you so much !
What is the nth term rule of the linear sequence below?
22,18,14,10,6.....
Answer:
it goes down by 4 every time
Which number on the number line should be plotted?
Review this code snippet: var time = 15; var greeting; if ( time < 12 ) { greeting = “good morning”; } else if ( time < 18 ) { greeting = “good afternoon”; } else { greeting = “good evening”; } console.log(greeting); What is the message that gets printed to the console?
Explanation:
We're given that time = 15
From this, we see that time < 12 evaluates to false, because 15 is not smaller than 12. Put another way, 15 < 12 is false.
But time < 18 is true since 15 < 18 is true. So we execute the second block of code and have the greeting variable be set to the string "good afternoon". This is what's displayed to the console without any quotes of course.
12% of 4 meters ( in cm)
Answer:
48 cm
Step-by-step explanation:
percent x meters x centimeters in meters
.12 x 4 x 100
Answer:
48 cm
Step-by-step explanation:
12/100 * 4 = 48 meters
1 meter = 100 cm
0.48 m = x Cross Multiply
1*x = 0.48 * 100
x = 48 cm
please answer and explain the link below
Answer:
See explanation.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FunctionsFunction NotationCalculus
Limits
Right-Side Limit: [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]Left-Side Limit: [tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle f(x) = \left \{ {{\sqrt{x + 1}, \ x < 3} \atop {5 - x, \ x \geq 3}} \right.[/tex]
Step 2: Find Right Limit
Substitute in variables [Right-Side Limit]: [tex]\displaystyle \lim_{x \to 3^+} 5 - x[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 3^+} 5 - x = 5 - 3[/tex]Subtract: [tex]\displaystyle \lim_{x \to 3^+} 5 - x = 2[/tex]∴ the right-side limit equals 2.
Step 3: Find Left Limit
Substitute in variables [Left-Side Limit]: [tex]\displaystyle \lim_{x \to 3^-} \sqrt{x + 1}[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 3^-} \sqrt{x + 1} = \sqrt{3 + 1}[/tex][√Radical] Add: [tex]\displaystyle \lim_{x \to 3^-} \sqrt{x + 1} = \sqrt{4}[/tex][√Radical] Evaluate: [tex]\displaystyle \lim_{x \to 3^-} \sqrt{x + 1} = 2[/tex]∴ the left-side limit equals 2.
Step 4: Find Limit
The right and left-side limits are equal.
∴ [tex]\displaystyle \lim_{x \to 3} f(x) = 2[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
Joe has eaten 2/5 of a pizza. Jane has eaten 1/9 of a pizza.
How many times more pizza has Joe eaten than Jane?
3
A rectangle is 20 cm long and 8 cm wide find the perimeter
(1 Point)
56 cm
28 cm
110 cm
52 cm
Guys I need your help , what is - 16t2 + 64+ + 3?
Answer:
the answer is -32t + 67
Step-by-step explanation:
-16t2 +64 + 3
= -16t x 2 +64 +3
= -32t +67
Answer:
−16[tex]t^{2}[/tex]+67Step-by-step explanation:
sometimes we can determine the number of solutions that a system of equations has by simply observing and drawing conclusions from the equations. this is called
Answer:
observations and quadratic formula
It took Aiden 6 hours to plant 8 trees. How many hours would it take for him to plant 20 trees? 24, 18, 23, 15
================================================
Work Shown:
(6 hours)/(8 trees) = (x hours)/(20 trees)
6/8 = x/20
6*20 = 8*x ... cross multiply
120 = 8x
8x = 120
x = 120/8
x = 15
It takes him 15 hours to plant 20 trees.
What is the solution to the system of equation?
Answer:
x = 0
y = 3
Step-by-step explanation:
-x - 2y = - 6
0 - 2(3) = -6
6 = 6
-3x + 2y = 6
-3(0) + 2(3) = 6
0 + 6 = 6
which number is represented by the number line
Answer: B
Step-by-step explanation: The number line has tally marks up to 3, so 3 has to be divided by something, meaning A and C do not work. There are 9 total tally marks circled, so the equation equals 9, leaving B as the only possible answer. Also, there are three tally marks per whole number, so each tally is 1/3, which is equal to 2/6, further proving it is B.
please show steps on how to do this
which of the following are equivalent to the expression below? sqrt -16
A. 4i
B. -4
C. -4i
D. 4
Answer:
A and C
Step-by-step explanation:
Using the fact that [tex]\sqrt{-1}[/tex] = i , then
[tex]\sqrt{-16}[/tex]
= [tex]\sqrt{16(-1)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{-1}[/tex]
= ± 4 × i
= 4i → A
= - 4i → C
