Answers
Answer:
option 2
Step-by-step explanation:
Using trigonometric ratio:
[tex]Cos \ 60 = \frac{adjacent } {hypotenuse} \\\\\frac{1}{2} = \frac{4}{u}\\\\1 \times u = 2 \times 4 \\\\u = 8[/tex]
Now using Pythagoras theorem we will find v
[tex]8^2 = 4^2 + v^2\\\\64 = 16 + v^2\\\\v^2 = 64 - 16 \\\\v = \sqrt{48} = \sqrt{16 \times 3} = \sqrt{4^2 \times 3 } = 4\sqrt{3}[/tex]
By using trigonometric relations, we will see that v = 4*√3 and u = 8
How to get the missing lengths?
Here we have a right triangle, we can use trigonometric relations to find the missing sides.
We can see that v is the opposite cathetus of the 60° angle, then we can use the relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
Replacing what we know, we get:
tan(60°) = v/4
4*tan(60°) = v = 4*√3
To get the value of u, we use:
cos(a) = (adjacent cathetus)/(hypotenuse).
cos(60°) = 4/u
u = 4/cos(60°) = 2*4 = 8
Then we have:
v = 4*√3
u = 8
If you want to learn more about triangles, you can read:
https://brainly.com/question/17972372
Related Questions
i need help! plz (listing BRAINLIST and giving points) :D
Answers
Answer:
4
Step-by-step explanation:
these are two similar triangles, so to solve for x, we create two similar ratios!
x/2 = 7/3.5
cross multiply.
14=3.5x
divide 14 by 3.5
x=4
Find the 8th term of the geometric sequence 7, 28. 112, ... HELP PLSSSS
Answers
the sequence was multiplying by 4 each time so all u needed to do was multiply each answer by four starting from 7x4
7×4 = 28
28×4 = 112
112×4 = 448
448×4 = 1 792
1792×4 = 7168
7168×4 = 28,672
28,672×4 =114,688
Which of the following points lies on the graph of the function y = 3 Superscript x?
a. (1, 0)
c. (3, 1)
b. (2, 9)
d. (0, 3)
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
(2,9)
Step-by-step explanation:
I am assuming that you mean: [tex]y= 3^x[/tex]
I have graphed the function given along the points given. When they are graphed, only the point (2,9) lie on the line.
This means that Option B is the correct answer.
See graph below.
Hope this helps.
37% of what number is 72?
Answers
(72 x 100) / 37 = 194.59
Answer:
26.64
Step-by-step explanation:
37% of x = 72
0.37x = 72
isolate x
x = 72*0.37
x = 26.64
which expression has a value of 15 when n=7?
Answers
Answer:
19 - 28/n
n=7
19 - 28/7
19 - 4
=15
Which of the following is an example of a conditional statement?
Answers
Answer:
The correct answer is A, If I practice football, then I will improve.
Which of the following is the simplified form of? Jx/
xVx?
ox
x21
O 21 /
Points eamed on this question: 0
Answers
Use the following property below:
[tex] \large \boxed{ \sqrt[n]{a} \times \sqrt[n]{a} \times \sqrt[n]{a} = { (\sqrt[n]{a}) }^{3} }[/tex]
Therefore,
[tex] \large{ \sqrt[7]{x} \times \sqrt[7]{x} \times \sqrt[7]{x} = { (\sqrt[7]{x}) }^{3} }[/tex]
Then we use next property.
[tex] \large{ \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} } }[/tex]
Hence,
[tex] \large{ \sqrt[7]{ {x}^{3} } = {x}^{ \frac{3}{7} } }[/tex]
Answer
x^(3/7)A community shares a vegetable garden in a park each summer. Last year, it took Sapphire 88 hours to plant the garden by herself. The year before, it took Varsha 66 hours to plant the same garden by herself.
This year, if Sapphire and Varsha work together to plant the same vegetable garden, it would take ??? hours.
What is ???
Answers
Answer:
37.71 hours
Step-by-step explanation:
Saphire
1garden/88hours
Varsha
1garden/ 66 hours
Together
1/88 + 1/66 = x
use 264 as common denominator
3/264 + 4/264 = 7/264
Together they can do 7 gardens in 264 hours
264/7 = 37.71 hours for 1 garden
-----------------------------------
Sometimes Brainly double types numbers
If you meant 6 hours and 8 hours
1/6 + 1/8 = x
4/24 + 3/24 = 7/24
24/7 = 3.43 hours
PLEASE ANSWER!! Find EF using Pythagorean theorem. Express answer to one decimal place.
Answers
Answer:
115.5 cm
Step-by-step explanation:
A^2 + B^2 = C^2
41^2 + 108^2 = C^2
C^2 = 13345
C = 115.5 cm
Classify the triangle by its angles and sides.
acute isosceles
acute scalene
equiangular equilateral
obtuse isosceles
Answers
Answer:
equiangular equilateral
all sides are equal
What is the slope of a line parallel to
a)-1/2
b)-2
c)1/2
d)2
Answers
Answer:
parallel lines has equal gradient
answer
c ,1/2
explanation would really help
Answers
Answer:
35
Step-by-step explanation:
the whole line is 49 and line DB is 30.
minus 16 from 30 so 30-16=14
then you minus line CB from EB so 49-14=35
that makes line EC 35
Please help x – 6 ≥ –7?
Answers
Answer:
x ≥ -1
Step-by-step explanation:
just add 6 to both sides.
Answer:
Inequality Form: x≥−1
Step-by-step explanation:
In the school chorus,
5/25 of the students are fourth-graders.
In simplest form, what fraction of the students in the school chorus are fourth graders?
Answers
Answer:
1/5 of the students are 4th graders
Based on the family the graph below belongs to, which equation could represent the graph?
Answers
where is the graph????
Step-by-step explanation:
area of a trapezium.
Answers
Answer:
Step-by-step explanation:
A= (a + b) * h/2
Answer:
what they said
Step-by-step explanation:
yeah what they said
What is the surface area of the solid that this net can form?
8 mm
25 mm
8 mm
5 mm
5 mm
8 mm
8 mm
5 mm
5 mm
8 mm
8 mm
25 mm
O 730 square millimeters
O 875 square millimeters
O 1,000 square millimeters
O 1,444 square millimeters
Answers
Answer:
730
Step-by-step explanation:
separate each rectangle
use the formula to calculate the area of each rectangle.
1st rectangle
area = length ×breadth
length =5, breadth =8+25+8=41
A1=5×41=205
2nd rectangle
A2=8×25=200
....
A3=5×25=125
A4=8×25=200
Add all As and you have your ans 730
4. Temperature graphs from two cities on July 1 are shown below. Which statement is true?
O A. City A experienced a bigger temperature change than City B.
O B. City B experienced a bigger temperature change than City A.
O C. The low temperature in City B was lower than the low temperature in City A.
O D. Both B and C are true.
Answers
Answer:
City B experienced a bigger temperature change than City A.
Step-by-step explanation:
From the graph of the temperature given, using visual inspection, we can see how the graph of both cuties change, for city A, the change in temperature, very low as the highest temperature is about 80 and the lowest temperature value is about 76 ;
However. For city B, the highest temperature value is about 100 and the lowest is about 76
Hence, City B experienced a bigger temperature change than A.
For low temperature, the low temperature in city A and B are the same with a value of about 76°
Please help asap!!! Will give brainleist for the right answer
Answers
Answer:
I think the answer is 1,032 pounds
Step-by-step explanation:
You would have to multiply the dimensions of the table first:
8*3*1=24.
Then you would multiply that by 43.
24*43=1,032.
I THINK this is the answer.
There were 436 tickets purchased for a major league baseball game. The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00. How many of each kind of ticket were purchased?
How many general admission tickets were purchased? ____
How many upper reserved tickets we purchased? ___
Answers
Answer:
136 general admission tickets were purchased, and 300 upper reserved tickets were purchased.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of general admission tickets purchased.
y is the number of reserved tickets purchased.
There were 436 tickets purchased for a major league baseball game.
This means that [tex]x + y = 436[/tex], or also, [tex]x = 436-y[/tex]
The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00.
This means that [tex]6.5x + 8y = 3284[/tex]. Since [tex]x = 436-y[/tex]
[tex]6.5(436-y) + 8y = 3284[/tex]
[tex]1.5y = 450[/tex]
[tex]y = \frac{450}{1.5}[/tex]
[tex]y = 300[/tex]
And:
[tex]x = 436 - y = 436 - 300 = 136[/tex]
136 general admission tickets were purchased, and 300 upper reserved tickets were purchased.
which of these expressions is equivalent to to 7(x+3)
Answers
On expanding the expression, we get - 7x + 21.
We have the following expression -
f(x) = 7(x + 3)
We have to write its equivalent expression.
Expand : f(x) = [tex]$\pi (\sqrt{x} + 5)[/tex]Expanding we get -
f(x) = [tex]$\pi \sqrt{x} + 5\pi[/tex]
According to the question, we have -
7(x + 3)
On expanding, we get -
7(x + 3) = 7x + 21
Hence, on expanding the expression, we get - 7x + 21.
To solve more questions on expanding expressions, visit the link below -
https://brainly.com/question/12308727
#SPJ2
How does a pedometer help people reach their fitness goals?
A.
It measures calories burned throughout the day
B.
It usually doubles as an MP3 player and keeps people motivated.
C.
They help people reach their goals by counting the number of steps taken.
D.
They measure the number of lifts done during each exercise performed.
Answers
Answer:
C
Step-by-step explanation:
pedometers are devices that count the steps you take throughout the day. Seeing your daily step count can give you an idea of how active you are in a given day and give motivating feedback to help you achieve a daily step goal.
Answer:c i just took the test
Step-by-step explanation:
HELP!!! PLEASE!!!!!!!!!!
Answers
Can someone please help me with this problem?
Answers
Answer:
C 6
Step-by-step explanation:
Pythagoras
c² = a² + b²
117 = x² + (x+3)² = x² + x² + 6x + 9 = 2x² + 6x + 9
=>
108 = 2x² + 6x
54 = x² + 3x
0 = x² + 3x - 54 = (x-6)(x+9)
just think by what numbers can we divide 54 without any remainder (so that when multiplying we get 54) ? and which pair of these have a difference of 3 (so that with +/- combination we get "3x" in the multiplication)?
the solutions for x are the 2 numbers that would make one of the bracket expressions 0, as this turns the whole expression to 0.
x = 6 and x = -9
a negative number does not make any sense for a side length.
so, the only possible solution is x = 6
There is a Chick-fil-a exactly 6 miles due east of Berkmar Middle School. There is also a Wal-Mart 6 miles due north of Berkmar Middle School. How far is the Chick-fil-a from the Wal-Mart? Leave your answer in its simplest radical form.
Answers
Answer:
6√2 miles
Step-by-step explanation:
Using the solution diagram drawn :
We have a right angled triangle, the distance between Walmart mad chick-FIL is a measure of the hypotenus of the right angled triangle ;
The hypotenus, = √(opposite² + adjacent²)
Hypotenus = √6² + 6²
Hypotenus = √(36 + 36)
Hypotenus = √72
Hypotenus = √36 * 2 = √36 * √2 = 6√2 miles
A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the after-tax total was $2,033.00, and the tax rate in the area is 7%, what was the pre-tax subtotal?
Answers
Answer:
i believe the pre-tax subtotal would be 1890.69
Step-by-step explanation:
the 2,033 represents 100%. to remove that 7% you would do
.93 • 2,033 which gives you 1890.69
Question 14 of 14
Which expression gives the distance between the points
(1,-2) and (2, 4)?
O A. (1+23° +(2-47
O B. (1-2)*+(-2-4)
O c. 111-23 +4:32-47
O D. Hit+2y +(2-479
Answers
Answer:
c
Step-by-step explanation:
please help i suck at math and i really need help i do anything just help
Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.
1) Write an equation describing the relationship between:
a) The number of plain coasters bought and the cost of the coasters.
b) The number of coasters with a logo bought and the price of the coasters.
c) Is either coaster relationship proportional? Explain in writing how you know.
d) Explain what the unit rate of the line described by each equation means in the context of the coasters.
2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.
a) Write the equation describing this relationship.
b) Indicate whether or not it is a proportional relationship and explain why?
c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.
Answers
Answer:
a
Step-by-step explanation:
find the value of x. round to the nearest tenth. 9,4, x
Answers
Answer:
Not sure what you mean here, is this a table? If so, you need to provide the y value or a screenshot!
Answer:
24.6° (nearest tenth) .
Adriana sold 50 shares of a company’s stock through a broker. The price per share on that day was $22.98. The broker charged her a 0.75% commission. What was Adriana’s real return after deducting the broker’s commission?
A.
$8.62
B.
$229.80
C.
$1,140.38
D.
$1,149.00
Answers
C $1,140.38
Step-by-step explanation:
We are given that Adriana sold 50 shares and that the price per share was $22.98
This means that:
Total value = 50 * 22.98 = $1149
Now, we know that the broker charged 0.75% commission on the total value
This means that:
Broker's charge = 0.75% * 1149 = 0.0075 * 1149 = $8.6175
Therefore,
Adriana's return = Total value - broker's charge
Adriana's return = 1149 – 8.6175 = $1,140.38
