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
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Related Questions
Which of the following terms have a GCF of ? Select two options.
Answers
Answer:
hi please upload the photo so we can help :)
Answer:
A:12p^3r and D:54p^3
Step-by-step explanation:
how many pieces of jewelry could she buy?
A woman went to a departmental store's one-day sale. She bought five blouses for $30 each and a pair of shoes for $55. She also wanted to buy some jewelry. Each tom of jewelry was bargain priced at $11.50 each. If she brought $251 with her,
She could buy pieces of jewelry
Enter your answer in the answer box
Answers
11.50 x 4 = 46
205 + 46 =$251
She could buy 4 pieces of jewelry
Find the LCM of the polynomials.
x² - x - 42
x2 + x - 56
Answers
Answer:
x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)
Step-by-step explanation:
Factor each equation.
x^2-x-42= (x-7)(x+6)
x^2+x-56= (x-7)(x+8)
The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.
(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.
my baby sister was born 2 ½ ago . how many months old is she
Answers
Find the function value f(-8)
f(x)=6x-1
Answers
Step-by-step explanation:
-8=6x-1
You will move the-8 to the right hand side which will become +8 and then you move+6x to the right hand side which will become -6x
-6x=-1+8
-6x=7
You will divide both sides by-6
-6x/-6=7/-6
x=7/-6
what is the price of a mobile set whose marked priced is Rs.15000 and 13% vAT was levied after allowing 20%discount on it.
Answers
Answer:
Rs. 18080
Step-by-step explanation:
Given :
Marked price = Rs. 20000
Discount = 20%
Discounted price = (100-20)% * marked price
Discounted price = 80% * 20,000 = Rs. 16,000
The VAT = 13%
VAT charge = 13% * 16,000 = Rs. 2080
Final price = discounted price + VAT charge
Final price = 16000 + 2080 = Rs. 18080
help me pls pls pls plsss
Answers
B) angle DEB is a obtuse angle
C) mEM is a striagle angle
D) yBE is angle of vertex B
E) M is angle
G) MEx and xEW are adjacent angles
H) EBy and yBx are supplementary angles
One pair of parallel sides proves a quadrilateral to be a parallelogram
True
False
Answers
How would I figure this out?
Answers
Answer:
IGJ=90-38
=52
answer is option c
six subtracted from one-half a number is 12.
Answers
Answer:
Number is 36
Step-by-step explanation:
Let the number be x
one half of the number is [tex]\frac{1}{2} x[/tex]
6 subtracted from one half is 12, That is,
[tex]\frac{1}{2} x - 6 = 12\\\\\frac{1}{2}x = 12 +6 \\\\x = 18 \times 2 = 36[/tex]
This table shows information about the number of
days of holiday taken last year by the employees at a
company.
Calculate the mean number of holiday days taken.
Give your answer to 1 d.p.
Holiday days taken 25
26
27
28
29
30
Frequency
6 9 7 7 3 0
2
Answers
Answer:
Mean number of holidays taken =26.6
Step-by-step explanation:
To find the mean,
We use Σfx/Σf
Σfx =150+234+189+84+0+60
=717
Σf= 6+9+7+3+0+2
=27
Σfx/Σf= 717/27
26.6
the measure of an exterior angle of a triangle is greater than the measure of either of its remove interior angles
Answers
Answer:
what do u want exactly or it us a theorem
Answer
Step-by-step explanation:
Given r=3 and a center of (3,5)? Find the equation of the circle in standard and general form.
Answers
9514 1404 393
Answer:
(x -3)^2 +(y -5)^2 = 9x^2 +y^2 -6x -10y +25 = 0Step-by-step explanation:
The standard form equation for a circle of radius r and center (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
For radius 3 and center (3, 5), this is ...
(x -3)^2 +(y -5)^2 = 9 . . . . standard form equation
Expanding this and subtracting the constant on the right gives ...
x^2 -6x +9 +y^2 -10y +25 -9 = 0
x^2 +y^2 -6x -10y +25 = 0 . . . . general form equation
How many solutions does this linear system have?
y=-1/2x+4
x + 2y = 8
one solution: (8,0)
one solution: (0,8)
no solution
O infinite number of solutions
Answers
Answer:
no solution
Step-by-step explanation:
__________
There are ''infinite number of solutions'' does this linear system have.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Linear systems are,
⇒ y = -1/2x + 4 ... (i)
⇒ x + 2y = 8 .. (ii)
Now, From equation (ii);
⇒ x + 2y = 8
⇒ 2y = - x + 8
⇒ y = - 1/2x + 4
Which is same as equation (i).
Hence, There are infinite number of solutions does this linear system have.
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PLEASE HELP!! WILL GIVE BRAINLEIST FOR AN ACTUAL Answer
Answers
72/360 = x/10pi
1/5 = x/10pi
x = 2pi
6.3 cm
Quantitative - Column chart
Quantitative - Line chart
Qualitative - Histogram
Qualitative - Pie chart
Answers
Answer:
A. Qualitative - Column chart
Step-by-step explanation:
Data could either be qualitative or quantitative. Quantitative data are usually given in a definite number, i.e it can be counted. While qualitative deals with characteristics, i.e it can be collected either by the use of questionnaires, or any similar method.
Therefore for the given question, the data survey is qualitative. And since the result would be presented as a graph showing the percentage users for each application, a column chart would be appropriate.
Thus for the data and its presentation, the answer is A. Quantitative - Column chart
Find the value of x.
Answers
Answer:
Hello! answer: 84
Step-by-step explanation:
This is 360 degrees therefore 84 is the answer
84 + 84 + 96 + 96 = 360 degrees
A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice the y y -coordinate of P P . What is the equation of the curve
Answers
Answer:
The equation for the curve is:
[tex]f(x) = 7*e^{2*x}[/tex]
Step-by-step explanation:
We know that for a curve defined as:
y = f(x)
The slope of the curve at the point x is:
y = f'(x)
where f'(x) = df(x)/dx
Here we know that we have a function that passes through the point (0, 7)
We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))
Then we have two equations:
f(0) = 7
f'(x) = 2*f(x)
From the shape of the equation, we can assume than this is an exponential equation like:
[tex]f(x) = A*e^{k*x}[/tex]
Replacing that in the second equation, we get:
[tex]k*A*e^{k*x} = 2*A*e^{k*x}[/tex]
From that equation, we can conclude that k = 2
Then:
[tex]f(x) = A*e^{2*x}[/tex]
Now we can use the first equation:
f(0) = 7
With this, we can find the value of A.
[tex]f(0) = 7 = A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A[/tex]
Then we can conclude that the equation for the curve is:
[tex]f(x) = 7*e^{2*x}[/tex]
Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a true-false examination consisting of 26 questions.
Answers
Answer:
2^26
Step-by-step explanation:
For a true - false examination ; number of options or possible outcomes = 2
Number of questions = 26
Using the counting principle ; the number of elements in the sample space ;
(2 * 2 * 2 *... * 2) for the entire 26 questions
This is equivalent to : 2^26
2^26 = 67108864
The following data represent weights (pounds) of a random sample of professional football players on the following teams. san francisco 49ers and green bay packers
X1 = weights of players for the Dallas Cowboys
X2 = weights of players for the Green Bay Packers
X3 = weights of players for the Denver Broncos
X4 = weights of players for the Miami Dolphins
X5 = weights of players for the San Francisco Forty Niners
You join a Fantasy Football league and you are wondering if weight is a factor in winning Football games. At a 5% level of Significant, determine if the weights of football players on each of these teams is same or different?
Answers
Answer:
The answer is "272.02 ".
Step-by-step explanation:
Please find the complete solution in the attached file.
you spin the spinner once
What is P(5)?
Answers
0-10
A spinner is split into 11 different pieces so you are less likely to land on five than the other numbers.
The probability of getting 5 on spinner is 0.25.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, on the spinner there are four numbers {3, 4, 5, 6}.
Number of favorable outcomes = 1
Total number of outcomes = 4
So, P(5) = 1/4
= 0.25
Therefore, the probability of getting 5 on spinner is 0.25.
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NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.
Let u= (5,-12) and c= -3.What is ||cu||?
A: 21
B: 51
C: 39
D: -39
Answers
Answer:
CU=-3(5,-12)
CU=36-15
CU=21
The answer is A=21
Answer:
[tex]=21[/tex]
Correct option is A
Step-by-step explanation:
[tex]-3\left(5-12\right)\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:within\:parentheses}\:\left(5-12\right)\::\quad -7\\5-12=-7\\=-3\left(-7\right)\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-3\left(-7\right)\::\quad 21\\-3\left(-7\right)\\\mathrm{Apply\:rule\:}-a\cdot \left(-b\right)\:=\:a\cdot \:b\\-3\left(-7\right)=3\cdot \:7=21\\=21[/tex]
Tommy is putting a wooden frame around his living room stained glass window shown below. Before he can build the frame,
he needs to find the perimeter of the window.
7 feet
4 feet
If the rectangular window is 7 feet long by 4 feet wide, what is the perimeter of the window?
OA.
14 feet
ОВ.
28 feet
OC.
11 feet
OD
22 feet
Answers
The perimeter of window is 28 feet
Find the area of each triangle
8 yd
8 yd
Answers
Answer:
Area of triangles 1 = 18 ft²
Area of triangles 2 = 16 in²
Area of triangles 3 = 90 yd²
Step-by-step explanation:
Given:
1] Height of triangle = 4 ft
Base of triangle = 9 ft
2] Height of triangle = 4 in
Base of triangle = 8 in
3] Height of triangle = 12 yd
Base of triangle = 15 yd
Find:
Area of triangles
Computation:
Area of triangles = (1/2)(Base)(Height)
Area of triangles 1 = (1/2)(4)(9)
Area of triangles 1 = 18 ft²
Area of triangles 2 = (1/2)(4)(8)
Area of triangles 2 = 16 in²
Area of triangles 3 = (1/2)(12)(15)
Area of triangles 3 = 90 yd²
I’m so horrible at math, please help
Answers
=21 ÷(14-11)+2⁴
=21 ÷3+16
=7+16
=23
Explanation: Use PEMDAS to simplify the expression. Parentheses, exponents, multiply, divide, add, and subtract.
P - Parenthesis ( )
E - Exponents ²
M - Multiplication ×
D - Division ÷
A - Addition +
S - Subtraction -
Question : 21 ÷ (14 - 11) + 2⁴
1st step : Subtract the two numbers inside the Parenthesis
⇒ 21 ÷ 3 + 2⁴
2nd step : Calculate the value of 2⁴ which is related to Exponents
⇒ 21 ÷ 3 + 16
3rd step : Perform Division
⇒ 7 + 16
4th step : Perform Addition
⇒ 23
Answer: 23
Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
Answers
Answer:
28 + 12xStep-by-step explanation:
Given,
Sides of a square is = 7 + 3x
Therefore,
Perimeter of a square = 4 × side
= 4 × (7 + 3x )
= 28 + 12x (Ans)
In a petri dish, a certain type of bacterium doubles in number every 20
minutes
There were originally 8, or 23 bacteria in the dish. After 140 minutes, the
number of bacteria has doubled 7 times, multiplying by 27.
Now the population of bacteria is 23.27. Expressed as a power, how many
bacteria are in the petri dish after 140 minutes?
O A. 210
B. 410
C. 27
D. 221
SUBMIT
Answers
Yep
The expression 1/2 bh gives the area of a triangle where
bis the base of the triangle and
H is the height of the triangle.
Answers
Answer:
yes that's correct
Step-by-step explanation:
let's say a question was given with the base of a triangle as 5cm and the height triangle as 8cm.
you will go by
solution
area = 1/2 * b * h
area = 1/2 (5 * 8)
area = 1/2 (40)
area = 20cm²
hope this helps
HELP !!!!
A circular pizza has been cut into five equal size pieces … how many degrees is the angle from one piece?
Answers
Answer:
72°
Step-by-step explanation:
360/5 = 72
There are four pairs of different types of shoes in a bag: a pair of boots a pair of sandals a pair of sneakers a pair of flip-flops If you pick shoes from that bag (in the darkness), what is the minimum number of shoes you should pick to be certain that you will have a pair of matching shoes
Answers
Answer:
5
Step-by-step explanation: