Utilizando propiedades de triángulos rectángulos, veremos que la altura h es igual a 4.28m
Lo primero que debemos notar es que tenemos un triangulo rectángulo. En el podemos ver un ángulo de 55°.
El cateto adyacente tiene una longitud de 3m, y queremos obtener la longitud del cateto opuesto.
Podemos usar la relación trigonométrica:
Tan(θ) = (cateto opuesto)/(cateto adyacente)
Reemplazando los valores que conocemos, obtendremos:
Tan(55°) = h/3m
Tan(55°)*3m = h = 4.28m
La altura h del velero es 4.28m
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A grain trader buys the following amounts from three suppliers: 3,200 pounds,7,200 ponds and 600 pounds. What is the total weight of hid purchase?
Answer: just simply add them and you get 11000
Help me with question 9
Answer:
a) 5.25m^2
b) 1 can
Step-by-step explanation:
a)
area of a triangle = bh/2
=(4.2 x 4.5)/2
=18.9/2
=9.45m^2
area of a rectangle = 2(l+w)
=2 x (0.6 + 1.5)
=4.2m^2
9.45-4.2 = 5.25m^2
b) 1 can, you can't have a partial can of paint
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per hour. The eastbound train travels at 85 miles per hour. How long will it take for the two trains to be 468 miles apart?
Step-by-step explanation:
x = traveled hours
when multiplying miles/hour by hours, this gives
hours × miles / hours
so, the dimension hours is eliminated on top and bottom of that fraction (or ratio) leaving only miles.
therefore,
468 = 95x + 85x = 180x
x = 468/180 = 2.6 hours or 2 6/10 hours = 2 hours and 6×6 minutes = 2 hours and 36 minutes
remember,
1 hour = 60 minutes
1/10 hour = 60/10 = 6 minutes
Answer:
Step-by-step explanation:
2.6 h
According to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. The Venn diagram displays the coffee preferences of the customers.
Answer:
0.08
Step-by-step explanation:
the orange circle is all people who like iced coffee, since we want the probability of liking only iced coffee, we need to look at the part of the orange circle not overlapping with the blue circle. this is 0.08
6 short questions 50 POINTS
Answer:
KN be better
sons of if his
In San Francisco, the tax on a property assessed at $920,000 is $19,320. If tax rates are proportional in this city, how much would the tax be on a property assessed at $740,000?
Answer:
$15540 is 2.1% of 740,000 which is the same percent as the 920,000 which was 2.1 percent so your answer is $15540
Step-by-step explanation:
A single card is drawn at random from a standard 52 card deck. Work out the following probabilities in their simplest form: P(4)= P(not 4)=
Answer:
Step-by-step explanation:
Total Number of possible outcomes = 52
Getting a jack from a deck of 52 cards for a certain event (A) = 4
The Probability (A) = 4/ 52
= 1 / 13 = 0.07
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Match the equation to the type of solution.
3=3 A. One solution
x=0. B. No solution
4=-2. C. Infinite many solutions
Which of the following statements best describes why the given expression is not simplified?
3x^2–2x+1 - 4x - 6
Answer:
3x²–6x–5
Step-by-step explanation:
3x²–2x+1–4x–6
collect like terms
3x²–2x–4x–6+1
3x²–6x–5
A campus survey states that 40% of students ride the bus if there are 300 students how many ride the bus?
Answer: 180 students
Step-by-step explanation:
My number has 3 digits. The sum of the digits is 15. The digits are all different odd numbers. If divided by 0.25 the answer is a whole number. The number is greater than 3 and less than 4.
Answer:
3.75
Step-by-step explanation:
trust me
An oddly-shaped water bottle holds 30.5 L of water. If the water bottle is 2/3 full, how many L are in the water
bottle?
Answer: 2/3 of 30.5 is 20.3333333333
Which of the following Venn diagram represents two sets with no common elements?
The Venn Diagram B, C and D, all represents two sets with common elements.
In B, the circle F is inside the circle G, so F share all of its elements with G. It is like a baby inside the belly of her mother :)
In C, F and G circles intersect and the intersection is their common space, and
the D is like the B.
But A reprents two sets F and G with no common elements. So the answer is A.
Good Luck
720 is what percent of $800?
the answer is 90 hope this help.
Allison is buying two birthday cards for $5.78. Sales tax on the two cards is $0.38. Including sales tax, what is the cost of each card?
1. $2.89
2. $3.27
3. $3.80
4. $3.08
Answer:
1.$2.89
Step-by-step explanation:
1/3 off $ 0.38 $ 0.25
2 for 1 at $ 5.78 $ 2.89
Help show work please.
Answer:
X = 7/3y - 10/3
Step-by-step explanation:
Add - 7y to both sides = -3x + 7y = 10 - 7y
= -3x = 10 - 7y
Divide both sides by -3
-3x/-3 = 10/-3 - 7y/-3
x = 7/3y - 10/3
22 divided by 2,737 include the remainder
Answer:
124.409
Step-by-step explanation:
sana makatulong sa inyong lahat
The graph below represents the function f(x) and the translated function g(x).
AVA
2x
/g(x)
a
If f(x) = x, which of the following functions could be an algebraic representation of g(x)?
Answer:
letter A.g(x)=x2+b that's the answer cause g(x) is in the positive
In a group of 84 kids, three-sevenths bought their lunches.Of those who bought their lunches got a slice of pizza? Write your fraction in simplest form
Answer:
There's not enough information to answer the question.
Step-by-step explanation:
The question says that out of 84 kids, 3/7 bought their lunches. Then it asks how many of the 3/7 got pizza without providing a number of those who bought a different food. And so, there's not enough information to solve this question.
The American customer satisfaction index scores of McDonalds restaurants grew from 61 in 2002 to 71 in the year 2014. Find the average rate of change for the data. Show work.
Answer:
[tex]\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex]
Step-by-step explanation:
Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:
In order to solve for the average rate of change, we could simply use the average rate of change formula:
Average rate of change = Change in output/Change in input
[tex]\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (61, 2002)
(x₂, y₂) = (71, 2014)
Substitute these values into the average rate of change formula:
[tex]\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}[/tex]
[tex]\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex].
Suppose that $50,000 is invested at 9% interest. Find the amount of money in the account after 8 years if the interest is compounded annually.
Answer:
50,000(1+0.09)^8
50000(1.99256)
A=99,628.13
My Kotwica is baking a few cakes for the bake sale for her school. Each cake requires 2
cups of sugar. How many cakes cun she bake if she has 7 1/3 cups of sugar?
Solve the following system of equations graphically and check
3x - y = 3
Y=2x-7
Answer:
x = -4 and y = -15
Hope This Helps!!!
A set of stickers contains 4 shamrocks for every 6 rainbows. Which choice contains an equivalent ratio of shamrocks to rainbows?
shamrocks : rainbows
1. 2 : 4
2. 6 : 9
3. 1 : 3
4. 8 : 18
This image shows that when a football is kicked, the nearest defensive player is 6 feet from the kicker’s foot. The height of the punted football, f(x), in feet, can be modeled by the equation. Round all answers to 2 decimals. ()=−0.0152 +1.25+2 a. (2 points) What is the maximum height of the punt?
Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.
The height of the punt, after x seconds, is given by:
[tex]f(x) = -0.0152x^2 + 1.25x + 2[/tex]
It is a quadratic equation with coefficients [tex]a = -0.0152, b = 1.25, c = 2[/tex].
The maximum value is the value of the function at the vertex, hence:
[tex]f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
Applying the coefficients:
[tex]f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7[/tex]
The maximum height of the punt is of 27.7 feet.
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1.What is the formula for the volume of a cylinder
2.Sarah is running in a 42 miles marathon.How far is.it in ft?
Step-by-step explanation:
Volume of cylinder = πr²h
42mi = 221760 ft .
Please help pleasee right now
Ms. Mary spent $192 less than Ms.Mona on supplies for their class. Together they spent a total of $988. How much did each person spend?
Answer:
Mary:604
Mona:796
Step-by-step explanation:
Answer:
Ms. Mary spend $302
Ms. Mona spend $ 686
Step-by-step explanation: We know that Ms. Mary spend $192 less than Ms. Mona.
So we are to divide $988 by 2 which is 494
now both have $494 each but Ms. Mona spend 192 so we are to add 192 + 494 to get the right sum of how much money Ms. Mona have and take away 494-192 to get the right sum of how much money Ms. Mary spend.
192 + 494 = 686
494 - 192 = 302
Find the slope of the line that passes through:
(-3,-4) and (76)
Answer:
Point slope form: y − 7 = 3 4 ( x − 3 ) Slope intercept form: y = 3 4 x + 19 4 or y = 3 4 x + 4 3 4
Step-by-step explanation:
hope this helps, have a nice day/night! :D
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Answer:
Slope = 1
Step-by-step explanation:
Slope = change in y / change in x
Slope = 6 - (-4)/7 - (-3)
Slope = 10/10
Slope = 1
-Chetan K
Plsss helppppppp tyyyysmmmm
Answer:
Step-by-step explanation:
x = 180 - 117 = 63°
y = 360 - 63 - 86 - 98 = 113°
Sum of angles along a line about a point on the line is 180°
Sum of internal angles on a quadrilateral is 360°
Proportional Relationships Homework
1. A nutrition company is marketing a low-caloric snack brownie. A serving size of the snack is 3 brownies
and has a total of 50 calories.
(c) Determine how many calories 14 brownies
would have. Round to the nearest calorie.
(d) If c represents the number of calories and b
represents the number of brownies, write a
proportional relationship involving c and b and
solve it for c.
Proportional relationships are used to represent direct variation
The number of calories in 14 brownies is 233, and the proportional relationship is [tex]\mathbf{c = \frac{50b}{3}}[/tex]
Let b represents brownies and c represents calories.
So, the relationship is given as:
b : c = 3 : 50
Express as fractions
[tex]\mathbf{\frac bc = \frac{3}{50}}[/tex]
Multiply both sides by c
[tex]\mathbf{b = \frac{3}{50}c}[/tex]
When the number of brownies is 14, we have:
[tex]\mathbf{14 = \frac{3}{50}c}[/tex]
Multiply both sides by 50/3
[tex]\mathbf{14 \times \frac{50}{3} = c}[/tex]
[tex]\mathbf{233 = c}[/tex]
Rewrite as:
[tex]\mathbf{c = 233 }[/tex]
Make c the subject in [tex]\mathbf{b = \frac{3}{50}c}[/tex]
[tex]\mathbf{c = \frac{50b}{3}}[/tex]
Hence, the number of calories in 14 brownies is 233, and the proportional relationship is [tex]\mathbf{c = \frac{50b}{3}}[/tex]
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