At a local baseball game there are 3 hot dog vendors. collectively the vendors sold 1,700 hot dogs. if vendor a sold 456, vendor b sold 607, and vendor c sold 637, what percentage of the total did each vendor sell? (round to the nearest percent.) a) 26 percent, 40 percent, 44 percent b) 45 percent, 37 percent, 18 percent c) 27 percent, 36 percent, 37 percent d) 30 percent, 35 percent, 35 percent
A child is standing at point c and flying a kite located at point a, 25 ft above the ground. as the child lets out more string, the kite rises to a point b, directly above point
a. if the angle of elevation changes from 50º to 65º, how much higher to the nearest foot, is the kite than it was initially?
Final answer:
To calculate the height increase of the kite, we can use trigonometry and the formula tan(angle) = h / distance. By plugging in the values, we find that the kite is approximately 25 * tan(65º) ft higher than it was initially.
Explanation:
To find how much higher the kite is than it was initially, we need to determine the difference in height between points a and b. Since point b is directly above point a, the difference in height can be calculated using trigonometry.
We can use the tangent of the angle of elevation to find the height increase. The tangent of an angle is equal to the opposite side divided by the adjacent side.
In this case, the opposite side is the height increase (h) and the adjacent side is the distance between points a and c. We can use the formula tan(angle) = h / distance to solve for h.
Given that the angle changes from 50º to 65º, we can calculate the height increase as follows:
tan(65º) = h / distance
Solving for h:
h = tan(65º) * distance
Plugging in the values:
h = tan(65º) * distance
h ≈ tan(65º) * 25 ft
Rounding to the nearest foot, the kite is approximately 25 * tan(65º) ft higher than it was initially.
find the surface area of each figure. Round your answer to the nearest tenth, if necessary
Find the missing term of the geometric sequence. 45 ___ 1620
The missing term in the geometric sequence 45, ___, 1620 is 270.
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
Given the geometric sequence: 45, ___, 1620, we need to find the missing term.
Let's denote the missing term as a2 and the common ratio as r. The terms of the geometric sequence are determined by the formula:
an = a1 * rn-1
For our sequence:
The first term, a1, is 45.The third term, a3, is 1620.We express the third term in terms of the first term and common ratio:
1620 = 45 * r2
Solving for r2:
r2 = 1620 / 45
r2 = 36
r = 6
Since the common ratio, r, is 6, we can find the missing second term, a2:
a2 = a1 * r
a2 = 45 * 6 = 270
Thus, the complete sequence is 45, 270, 1620.
The total price of an article is $7.02, including tax. If the tax rate is 8%, what is the retail price of the article?
6.50
Hope this helps.
Will give brainliest! How many distinct triangles can be made? I think I have to first find the measure of length b and then compare measure a with b and h to find the answer. Please help me out on how to find measure length b
What happened to the cat who swallowed a ball of yarn?
Please help me with this
Write the equation of the perpendicular bisector of RS. Point R is located at (–1, 3), and point S is located at (3, 1).
The line graphed below passes through the points (-2, 0) and (0, -3). Use the slope formula to calculate the slope between the given points. Verify the slope by counting the rise over the run on the graph.
Answer:
The answer is -4/5
Step-by-step explanation:
It just is. The test said so.
Which transformation of Figure A results in Figure A'?
a reflection across the y-axis
a reflection across the x-axis
a clockwise rotation of 90° about the origin
a translation 12 units right and 2 units down.
Answer:
A translation 12 units right and 2 units down.
Step-by-step explanation:
Given : Figure A and figure A'.
To find : Which transformation of Figure A results in Figure A'.
Solution : We have given that
Parent Triangle A with coordinates ( -6 ,-3) ; ( -4 ,-5) ; ( -8 , - 4)
Transformed triangle with coordinates ( 6 ,-5) ; ( 8 ,-7) ; ( 4 , - 6)
We can see from the coordinates
( -6 +12 ,-3-2) = ( 6 ,-5)
( -4+ 12 ,-5 -2) = ( 8 ,-7)
( -8 + 12 , - 4 -2) = ( 4 , - 6).
Therefore, A translation 12 units right and 2 units down.
A spinner is divided into 5 equal sections numbered 1 to 5. The theoretical probability of the spinner stopping on 3 is 20%. Which of the following is most likely the number of 3's spun in 10,000 spins?
A. 3358
B. 1243
C. 2589
D. 2067
Bart can paint one house in 3 hours. ann can paint one house in 5 hours. how long would it take bart & ann to paint one house if they worked together?
Find d: ??? Ft. Plz help idk this question
Simon invested $1,550 at 6.5% simple interest. He earned $302.25 in interest after t years. What is the value of t?
Answer:
Marco deposited $500 in a savings account earning 4% simple interest over 5 years.
What was the total amount of interest earned at the end of 5 years?
$40
$50
$100
$200
Step-by-step explanation:
What is the value of x?
Mark made a business trip of 250250 miles. he averaged 50mph50mph for the first part of the trip and 60mph60mph for the second part. if the trip took 4.54.5 hours, how long did he travel at each rate?
List the following stocks and bonds in order from lowest default risk to highest default risk.
A. foreign government bond, common stock, preferred stock
B. foreign government bond, preferred stock, common stock
C. common stock, preferred stock, foreign government bond
D. preferred stock, common stock, foreign government bond
Lynh manages a small company with 12 employees. He offers profit sharing where 5% of profits at end of year is distributed evenly to the employees. Each employee earned $2,300 in profit sharing in 2013. What was the total profit?
We need to find the total profit of Lynh Mangoes. It is given that the 5 % of profit to be distributed equally between 12 employees.
Profit received by each employee = $ 2,300
Total profit received by 12 employees = $ 2,300 × Profit received by each employee
Total profit received by 12 employees = $ 27,600
It is given that 5 % to be distributed.
Thus, 5 % of total profit = $ 27,600
Total profit = $ 27,600 ÷ 5 %
Total profit = $ 552,000
5 out of 8 bags of m&ms had exactly 32 pieces in them. How many bags out of 40 should have exactly 32 pieces
Have you found a positive o negative correlation between the independent and dependent variables
Share out £80 between Tom and jerry in the ratio 3:2
Trains on the line reached an average speed of 125 miles per hour. Approximately, what is this speed in kilometers per hour?
What is the exact value of cos 30° ?
Consider a ΔABC in which ∠ C = 90°, ∠A = 60° and ∠ B = 30°.
Side AB will be the hypotenuse.
cos 60° = AC / AB -------[ cos 60° = 1/2]
So, AB = 2 AC -------------------------------(1)
Apply Pythagorean Theorem to find BC
AB² = BC² + AC²
4 AC² = BC² + AC²
So, BC = √3 AC ------------------------(2)
Now, we shall find the value of cos 30°
cos 30° = CB / AB
or, = √3 AC / 2 AC -------using equations (1) and (2)
So, cos 30° = √3 / 2
Hence, the exact value of
Since ∠A = 2∠B. So, cos 30° will be √3 / 2
The answer is √3 / 2
What is the surface area of the right cone Below
WILL MARK BRAINIEST !!
Answer:
Option C
Step-by-step explanation:
Given in the picture is a right circular cone with base radius = 3 units and length = 15 units.
We have to find the surface area of the cone.
The total surface area of the cone is the sum of base area + lateral surface area
Base area = area of a circle = [tex]\pi r^2[/tex]
Lateral area of cone = [tex]\pi rl[/tex] where l = length of the cone.
Hence total surface area
= [tex]\pi r (r+l)\\=\pi (3)(3+15)\\=54\pi[/tex] square units
Option C is the answer.
At the local grocer, the prices for apples are the following: 9 ounces for $1.89 or 1 pound for $2.49. How much will you save per pound, by buying the least expensive? Round to the nearest cent.
A.) $0.87
B.) $0.10
C.) $0.60
D.) $0.21
Answer: Option 'A' is correct.
Explanation:
Cost of 9 ounces of apples = $1.89
Cost of 1 ounce of apple is given by
[tex]\frac{1.89}{9}=\$0.21[/tex]
Now, if he bought 1 pound of apple,
Cost of 1 pound of apple = $2.49
Cost of 16 ounces = $2.49
(∵ 1 pound = 16 ounces)
Cost of 1 ounce of apple is given by
[tex]\frac{2.49}{16}=\$0.156[/tex]
So, Second option is the least expensive if he bought 1 pound of apple for $2.49
Then, he will save which is given by
[tex]0.21-0.156=0.054\times 16=$0.87\ per pound[/tex]
Hence, option 'A' is correct.
Final answer:
You will save $0.87 per pound by purchasing apples at the price per pound rate ($2.49) compared to the 9-ounce rate ($1.89 for 9 ounces), with the savings calculated by converting the 9-ounce price to a per pound rate and comparing it to the given per pound price.
Explanation:
To determine how much you will save per pound by buying the least expensive option for apples, first convert the price for 9 ounces into the equivalent price per pound. Since there are 16 ounces in a pound, you need to calculate the price per ounce and then multiply by 16 for the pound equivalence. The price per ounce for the first option is $1.89/9 ounces = $0.21 per ounce. Hence, the price per pound would be $0.21 per ounce × 16 ounces/pound = $3.36 per pound.
Now compare the price per pound of both options. The specified price per pound is $2.49, and the calculated price per pound for the 9-ounce option is $3.36. The savings per pound when buying the least expensive option ($2.49 per pound) would be $3.36 - $2.49 = $0.87 per pound, rounded to the nearest cent.
Therefore, the correct answer is (A) $0.87.
If the area is 72 and the perimeter is 34, what are it's dimensions
What phrase can you use to represent m-4? M less then 4/ 4 less then m/ m plus 4 or 4 less m
The phrase 'm less 4' or '4 less than m' can be used to represent the expression 'm-4'. The other phrases mentioned do not accurately represent the mathematical expression 'm-4'.
Explanation:The phrase that you can use to represent the expression m-4 is 'm less 4' or '4 less than m'. The phrase suggests that we are subtracting 4 from variable m. The phrase 'm plus 4' would be used to represent m+4 and does not apply here. So, in expressing the concept of subtraction in a phrase, we often say things like '4 less than m' which clearly conveys that 4 is being subtracted from m.
Learn more about Mathematical Phrasing here:
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This is a "water tank" calculus problem that I've been working on and I would really appreciate it if someone could look at my work and tell me if I did it properly! Thank you.
Is quadrilateral JKLM the result of a dilation of quadrilateral ABCD by a scale factor of 2? Why or why not? Yes, because sides JK and ML are twice as long as sides AB and DC. Yes, because both figures are parallelograms, so corresponding sides are parallel. No, because sides JK and ML are not twice as long as sides AB and DC. No, because sides JM and KL have different slopes from sides AD and BC.
Answer:
(d) No, because sides JM and KL have different slopes from sides AD and BC
Step-by-step explanation:
You want to know if quadrilateral JKLM is a dilation of ABCD by a factor of 2, and why or why not.
DilationDilation multiplies the distance of each point on the figure from the center of dilation by the scale factor. Dilation by a scale factor of 2 will move JKLM twice as far from the origin as ABCD. This preserves slopes and angles, but changes lengths by the scale factor.
In the given figure, ABCD is 2 units wide and 2 units high. If JKLM is a dilation by a factor of 2, it will be 4 units wide and 4 units high.
JKLM is 5 units high, so is not a dilation. JK and ML are twice as long as AB and DC, so choice C is not an appropriate explanation.
Sides JM and KL have different slopes from sides AD and BC, choice D.
__
Additional comment
The slopes of JM and KL are 5/2. The slopes of AD and BC are 2/1, a different value.
Answer: D
Step-by-step explanation: