Answer:
2<x/2
x/2 means 50 percent of x
What is the value of y? Triangle A B C has right angle C with hypotenuse labeled 6. Angle A is 60 degrees and its opposite side B C is labeled y. Enter your answer, as an exact value, in the box. y =
Answer:
[tex]y=6\sqrt{3}[/tex].
Step-by-step explanation:
It is given that,
Hypotenuse : AB=6 units.
Perpendicular : BC=y units.
[tex]\angle BAC=30^{\circ}[/tex]
We know that, in a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
In triangle ABC,
[tex]\tan A=\dfrac{BC}{AB}[/tex]
[tex]\tan (60^\circ)=\dfrac{y}{6}[/tex]
[tex]\sqrt{3}=\dfrac{y}{6}[/tex] [tex][\because \tan (60^\circ)=\sqrt{3}][/tex]
Multiply both sides by 6.
[tex]6\sqrt{3}=y[/tex]
Therefore, [tex]y=6\sqrt{3}[/tex].
Answer:
3
Step-by-step explanation:
you can solve this 2 different ways:
You can use the sine ratio or, since the triangle is a 30 60 90,you can solve it that way.
1:
sine 30 = opposite/hypotenuse
sin 30 = y/6
(sin 30)6 = (y/6)6
sin 30 (6) = y
y = 0.5 (6)
y = 3
2:
Since triangle ABC is a 30 60 90 triangle, the hypotenuse will always be 2 times the shorter leg:
hypotenuse = 2(shorter leg)
6 = 2y
6/2 = 2y/2
3 = y
y = 3
simplify this please 41 =12d-741=12d−7
Answer:
Simplifying
41 = 12d + -7
Reorder the terms:
41 = -7 + 12d
Solving
41 = -7 + 12d
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-12d' to each side of the equation.
41 + -12d = -7 + 12d + -12d
Combine like terms: 12d + -12d = 0
41 + -12d = -7 + 0
41 + -12d = -7
Add '-41' to each side of the equation.
41 + -41 + -12d = -7 + -41
Combine like terms: 41 + -41 = 0
0 + -12d = -7 + -41
-12d = -7 + -41
Combine like terms: -7 + -41 = -48
-12d = -48
Divide each side by '-12'.
d = 4
Simplifying
d = 4
Chicken is normally $2.15/ib.but if you purchase 26 pounds for $41.34,how much do you save per pound
Answer:
$0.56/lb
Step-by-step explanation:
Given
Cost of a chicken = $2.15 per pound
26 pound of a chicken = $41.34
Required
Calculate how much saved.
The first step is to calculate the unit price of a chicken when 26 pound of chicken was bought.
Unit Price = Price ÷ Weight
Unit Price = $41.34 ÷ 26lb
Unit Price = $1.59/lb
The next step is to calculate the difference between these two prices
Difference = |$1.59/lb - $2.15/lb|
Difference = |-$0.56/lb|
Difference = $0.56/lb
The calculated difference is the amount saved per pound of chicken when I bought 26 pound of chicken.
At a grocery store, bulk almonds sell for $3.80 per pound. The cost, y, in dollars, of x pounds of almonds is shown in the table. x (pounds) y ($) 0.5 1.90 1 3.80 1.5 5.70 2 7.60 Select the correct answer from each drop-down menu. The relation described in the table is . The domain of the relation is . The range of the relation is
Answer:
Step-by-step explanation:
The relation describe in the table Continuous .
The domain of the relation is X- values greater than or equal to 0 .
The range of the. Relation is Y- values greater than or equal to 0
Answer:
The relation described in the table is continuous
The domain of the relation is x-values greater than or equal to 0
The range of the relation is y-values greater than or equal to 0
Step-by-step explanation:
Any number of pounds of almonds can be purchased, including partial amounts, so the relation described in the table is continuous.
Because x can be any positive number of pounds, the domain of the relation is x ≥ 0, or x-values greater than or equal to 0.
Because y can be any positive dollar amount, the range of the relation is y ≥ 0, or y-values greater than or equal to 0.
A frame shop owner is working with her apprentice, who takes four times as long as
she does to frame a poster. Together they can frame 40 posters in an eight-hour
day.
How long does it take the apprentice to frame one poster?
1. 1 hour
2. 8/25 hour
3. 1/4 hour
4. 4 hours
Answer:
1 hour
Step-by-step explanation:
25min=1 poster for the shop owner
25×4=100
100×8=800
800÷25=32 posters in 8hrs for the shop owner
1hr×8=8 posters for the apprentice
thus 40 in total
Karl set out to Alaska on his truck.
The amount of fuel remaining in the truck's tank (in liters) as a function of distance driven (in kilometers) is
graphed.
How much fuel did the truck consume every 100 kilometers
Answer:
the amount of fuel consumed every 100 kilometers is 62.5 litres.
Step-by-step explanation:
To determine the amount of fuel consumed every 100 kilometers.
Note: since the graph is a straight line graph (linear graph) the amount of fuel consumed every 100 kilometers is constant (i.e the same for every 100 kilometers). So, we only need to derive the amount of fuel consumed any 100 kilometers on the graph.
From the graph, the amount of fuel consumed for the first 100 kilometers is;
[tex]F = F_0 - F_{100} .........................1[/tex]
[tex]F_0 = 500\\F_{100} \simeq 437.5\\[/tex]
substituting into equation 1.
[tex]F = F_0 - F_{100} \\F = 500 - 437.5\\ F = 62.5 litres\\[/tex]
Therefore, the amount of fuel consumed every 100 kilometers is 62.5 litres.
Answer:500
Step-by-step explanation:got it on Kahn
Helpppppppppppppp !!!
Answer:
a) 8
b) 2 1/4 hours
c) 4 7/8 hours
d) 4 1/8 hours
Step-by-step explanation:
a) LCD to be used to solve this problem is calculated as the Lowest common denominator of the above mixed fractions.
We have 1 1/2 hours and 1 1/8 hours
The lowest common denominator is the denominator calculated by
Multiplying the two denominators together and dividing by the common factor of the two denominators
Hence , we have
2 × 8 = 16
The common factor of 2 and 8 = 2
LCD = 16/2 = 8
b) How long did Matt drive?
We are told that Matt drove twice as long as John
John drove for 1 1/8 hours
Hence, the number of hours that Matt drove for =2 × 1 1/8
= 2 × 9/8 = 9/4 hours = 2 1/4 hours
c) How long the Sam, John and Matt drive ?
We are told in the question that
Sam drove for 1 1/2 hours
John drove for 1 1/8 hours
Matt drove for 2 1/4 hours
We would sum up the number of hours that each of them drove.
1 1/2 + 1 1/8 + 2 1/4
The Lowest common multiple of denominators is 8
= (1 + 1 + 2)( 4 + 1 +2/8)
= 4(7/8)
= 4 7/8 hours
d) How many hours is left for Bob to drive
We are told that the entire journey = 9 hours
The number of hours Sam, John and Matt drove for has been calculated in question c as 4 7/8 hours
The number of hours Bob will drive for is calculated as
9 hours - 4 7/8 hours
= 4 1/8 hours
In a circle graph, what percent would be represented by a 25° angle? (round to nearest whole number if needed)
A. 7%
B. 6%
C. 9%
D. 8%
Answer:
A) 7%
Step-by-step explanation:
There are 360 degrees in a circle. Thus, a 25 degree sector would make up 25/360 of the circle. 25/360 can be simplified to .06944444. This rounds to .07, which is 7%.
Answer:
A. 7%
Step-by-step explanation:
A percent can be found by dividing the part by the whole and multiplying by 100.
(part/whole) *100
There are a total of 360 degrees in a circle. This is the whole.
We want to find what percent a 25 degree angle will take up. This is the part.
(25/360) * 100
First, divide 25 by 360.
0.0694444444 * 100
Now, multiply the numbers together
6.94444444 %
Round to the nearest whole number. The 9 in the tenth place tells us to round the 6 to a 7.
7 %
Therefore, the answer is A. 7%
*LAST QUESTION , PLEASE ANSWER TY* (: Quadrilateral ABCD is inscribed in a circle. If angle A measures (3x – 10)° and angle C measures (2x)°, find x.
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Quadrilaterals.
Basically we know that, the sum of opposite angles of a quadrilateral inscribed in a circle is always 180°.
so applying this law here, we get as,
2X + (3X-10) = 180°
=> 5X - 10° = 180°
=> 5X = 190°
=> X = 190°/5
=> X = 38°
thus the angle X= 38°.
The points The points
A (3, 8),
B (6, 8),
C (6, 3),
D (5, 3)
need to be transformed to points
A'' (–3, 1),
B'' (–6, 1),
C'' (–6, –4),
D'' (–5, –4).
What transformations are made to make Building 4?
Answer:
Reflect the points across the y-axis and then translate them 7 units down.
Step-by-step explanation:
Let's look at Points A and A''. We notice that to transform A into A'', we need to reflect the point across the y-axis and then translate it down 7 units. We know this because 3 and -3 are opposite numbers are 8 - 7 = 1.
Answer:
D
Step-by-step explanation:
The points The points
A (3, 8),
B (6, 8),
C (6, 3),
D (5, 3)
need to be transformed to points
A'' (–3, 1),
B'' (–6, 1),
C'' (–6, –4),
D'' (–5, –4).
What transformations are made to make Building 4?
Alex, Toby and Samuel are playing a game together.
At the end of the game, they will make a classification with one of them in First
place, one of them in Second place and one of them in Third place.
Work out how many possible outcomes there could be at the end of their game.
The number of possible outcomes there could be at the end of their game is 6 outcomes
This is a permutation problem since it required arrangement
If Alex, Toby, and Samuel are playing a game together and at the end, they will make a classification with one of them in first place, one of them in Second place and one of them in Third place, this can be done in 3! ways
Since n! = n(n-1)(n-2)!
Hence 3! = 3(3-1)(3-2)
3! = 3 * 2 * 1
3! = 6 ways
Hence the number of possible outcomes there could be at the end of their game is 6 outcomes
Learn more here: https://brainly.com/question/24115376
Construct perpendiculars image below
Answer: draw a straight line trough point B, same thing with the second one,for the third you must draw a straight line from the angle across to the segment. (make sure all of the intersections are 90 degrees
Attachment Below, please help, I'm not timed
Answer:
Step-by-step explanation:
x + 2x + 4x = 49
7x = 49
x = 7
2(7)= 14 hours he worked on Wednesday
ABCD is a parallelogram.
Given that,
DC = CE
prove that,
area of the ADE triangle is equal to the area of the parallelogram.
need explanation
plzz help!!
will give the brainliest!!
Drop a perpendicular from [tex]\overline{AK}[/tex] to $\overline {DE}$.
Let $l(AK)=h$ and $l(AB)=l(DC)=L$
$h$ is the height of the parallelogram and the triangle.
$L$ is the length of the base of the triangle and one of the sides of parallelogram.
We have area of parallelogram $=A_{para}=hL$
And the area of triangle is:
$A_{tria}=\frac{1}{2} h\times (L+L)=hL$
Thus we can see that they are equal.
Answer:
See below
Step-by-step explanation:
Given:
ABCD is a parallelogram
DC = CE
To Prove:
area of the ADE triangle is equal to the area of the parallelogram.
Proof:
Let The Point between B and C be F
To prove that area of the ADE triangle is equal to the area of the parallelogram, we'll first prove that ΔADF ≅ ΔECF
Statements | Reason
DC ≅ CE | Given
But, CD ≅ AB | Opposite sides of a ║gm
So, CE ≅ AB | Transitive Property of Equality
∵ ΔABF ↔ ΔECF |
CE ≅ AB | Already Proved
∠CFE ≅ ∠ BFE | Vertical Angles
∠ECF ≅ ∠ABF | Alternate Angles
So, ΔABF ≅ ΔECF | S.A.A. Postulate
Now, |
Area of ║gm = Area of |
quad ADCF + ΔABF |
But, ΔABF ≅ ΔECF | Already Proved
So, |
Area of ║gm = Area of |
quad ABCF + ΔECF |
But Area of ΔADE = Area of |
quad ABCF + ΔECF |
So, |
Area of ║gm = Area of ΔADE | Hence Proved
The numbers 1 through 10 are written on a board. You can erase any two numbers and replace them with their difference. Is it possible to repeat this process until the only number on the board is 0?
Answer:
That's right in the end we will get only zeros.
Step-by-step explanation:
We can do a test:
-We choose two numbers for example 2 and 7; making the difference or subtraction would give a value of 5; Now when you start to make differences between two following numbers, it will give a value that will be repeated in double position, which will determine that at some point you will start to make differences in which the only value on the board is zero. .
1-2-3-4-5-6-7-8-9-10. We subtract and replace the value obtained in two positions.(7-2)=5;
Now we get:
1-5-3-4-5-6-5-8-9-10;
If we subtract 5 minus 5 we will obtain zero, and so we proceed to do the same with two following numbers, we replace the obtained value and then we make the difference between them.
Use the function below to find F(3)
Answer:
Theanswer is 4/27.
Step-by-step explanation:
given that, F(x) = 4×(1/3)^x
now , F(3)= 4×(1/3)^3 ( putting value of x)
or, F(3) = 4×(1/27)
therefore, F(3)= 4/27... ans
hope it helps..
Please Help!! I will give brainliest to correct answer
A carpool service has 2,000 daily riders. A one-way ticket costs $5.00. The service estimates that for each $1.00 increase to the one-way fare, 100 passengers will find other means of transportation. Let x represent the number of $1.00 increases in ticket price.
Choose the inequality to represent the values of x that would allow the carpool service to have revenue of at least $12,000. Then, use the inequality to select all the correct statements.
options:-
The price of a one-way ticket that will maximize revenue is $7.50.
The price of a one-way ticket that will maximize revenue is $12.50.
-100x^2 + 1,500x + 10,000 >/= 12,000
The maximum profit the company can make is $4,125.00.
The maximum profit the company can make is $15,625.00.
100x^2 - 1,500x - 10,000 >/= 12,000
100x^2 + 1,500x - 10,000 = 12,000
(There can be more than one correct answers)
Answer.
Step-by-step explanation:
Please could I have some help :)
Answer:
a) x = 128 degrees
b) Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
Step-by-step explanation:
Given:
attached diagram
ABC is a straight line
Solution:
a) Find x
ABC is a straight line
angle ABD = supplement of CBD = 180-CBD = 180-116 = 64 degrees.
x is the central angle of the arc APD
so angle ABD is the inscribed angle which equals half of the arc angle =>
angle ABD = x/2 = 64 degrees
Solve for x
x/2 = 64
x = 2*64
x = 128 degrees
b.
Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
Which graph represents a function.
Answer:
a
Step-by-step explanation:
its straight
Answer:
Hello I am from India.
Step-by-step explanation:
Can you pls chat with me
I am requesting you a lot
pls dear
Please help i will mark brainliest for correct answers!
Answer:
i would say the answer is C) simple random sampling
Step-by-step explanation:
this is because an example of a simple random sample would be the names of 25 employees being chosen out of a hat from a company of 250 employees. In this case, the population is all 250 employees, and the sample is random because each employee has an equal chance of being chosen. This is similar to your question where it chooses 100 random people.
hope this helps ;)
What is the standard form of 7 + 3i / 2 - 5i
A. -29/21 + 4/21i
B. -29/21 - 4/21i
C. 1/29 - 41/29i
D. -1/29 + 41/29i
Answer:
Step-by-step explanation:
7 + 3i / 2 - 5i would be clearer if written as (7 + 3i) / (2 - 5i). We must remove the symbol i from the denominator, and that can be accomplished by multiplying both 7 + 3i and 2 - 5i by the conjugate 2 + 5i:
(2 + 5i)(7 + 3i)
--------------------
4 + 29
which simplifies to 14 + 6i + 35i - 15 over 33, or
-1 + 41i
------------
33
PLEASE HELP! WILL MARK BRAINLIEST! 30 POINTS! ONLY DUE TOMORROW!
1. How many palindromes of length 5 can you form using letters with the following properties: they start with a consonant, and the consonants and vowels alternate; no letter appears more than twice. (Note: assume letters "a", "e", "i", "o", and "u" are the vowels of the English alphabet).
2. How many different words can be formed with the letters AAAABBCCD (not necessarily meaningful words)?
3. How many six-digit numbers have all their digits of equal parity (all odd or all even)?
4. You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?
5. In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.
THANK YOU SO MUCH!
Answer:
Step-by-step explanation:
5. cut the five fruits into 3 equal parts....
5x3=15 pieces
15/3(bowls)=5 pieces in each bowl
cut the fruits in multiples of 5 divisible by 3....that many ways possible
(similarly 4th qstion can be done)!!
Find the missing segment in the attached image
Answer:
The length of the missing segment is 36
Step-by-step explanation:
Given
The figure above
Required
Determine the missing segment
Let the missing segment be represented with x
Given that, there exist parallel lines between the two triangles;
The relationship between the sides of the triangles is as follows;
[tex]\frac{20}{24} = \frac{30+20}{24+x}[/tex]
[tex]\frac{20}{24} = \frac{50}{24+x}[/tex]
Cross Multiply
[tex]20 * (24 + x) = 24 * 50[/tex]
[tex]20 * (24 + x) = 1200[/tex]
Divide both sides by 20
[tex]\frac{20 * (24 + x)}{20} = \frac{1200}{20}[/tex]
[tex](24 + x)= \frac{1200}{20}[/tex]
[tex]24 + x= 60[/tex]
Subtract 24 from both sides
[tex]24 - 24 + x = 60 - 24[/tex]
[tex]x = 60 - 24[/tex]
[tex]x = 36[/tex]
Hence, the length of the missing segment is 36
8. Evelyn flips three coins simultaneously. The theoretical probability that only two of the coins will turn up heads is. If Evelyn flips the three coins simultaneously 200 times, how many times can
she expect only two heads to turn up?
Answer:
134 will be heads.
Step-by-step explanation:
200÷3 = 66.66
Round that of to the nearest whole number = 67
67 x 2 = 134
Answer:
75
Step-by-step explanation:
i took the semester exam
Points E, F, and D are on circle C, and angle G
measures 60°. The measure of arc EF equals the
measure of arc FD.
Which statements about the arcs and angles are
true? Select three options,
O ZEFD - ZEGD
E
O ZEGD ZECD
ED FD
С
G60°
mEF = 60
OmFD = 120
Mark this and return
Save and Exit
Next
Submit
Answer:
The correct statements are:
1: mEFD = mEGD
3: mED = mFD
5: mFD = 120°
Step-by-step explanation:
Let's analyse each statement:
1: mEFD = mEGD
Let's find the value of the angle ECD, using the sum of the internal angles of a quadrilateral:
[tex]60 + 90 + 90 + mECD = 360[/tex]
[tex]mECD = 120\°[/tex]
The angle ECD is a central angle, related to the arc ED, so the arc ED also has 120°.
The angle EFD inscribes the arc ED, so we have:
[tex]mEFD = mED/2[/tex]
[tex]mEFD = 120/2 = 60\°[/tex]
So the angles mEFD and mEGD are equal. The statement is TRUE.
2. mEGD = mECD
This statement is FALSE, because mEGD = 60° and mECD = 120°
3. mED = mFD
If mED is 120° and mEF = mFD, we have:
[tex]mED + mEF + mFD = 360[/tex]
[tex]2*mFD = 360 - 120[/tex]
[tex]mFD = 120\°[/tex]
So the statement is TRUE, both arcs have 120°.
4. mEF = 60°
This statement is FALSE, because we calculated before that mEF = mFD = 120°
5. mFD = 120°
This statemente is TRUE, because we calculated before that mFD = 120°.
So the correct statements are 1, 3 and 5
The true statements are: [tex]\angle EFD =\angle EGD[/tex], [tex]\overset{\huge\frown}{FD} = \overset{\huge\frown}{ED}[/tex] and [tex]\overset{\huge\frown}{FD} =120[/tex]
Start by calculating the measure of angle ECD.
We have:
[tex]\angle ECD = 2 * \angle EGD[/tex]
So, we have:
[tex]\angle ECD = 2 * 60[/tex]
[tex]\angle ECD = 120[/tex]
The above means that:
[tex]\overset{\huge\frown}{ED} = 120[/tex]
So, the measure of angle EFD is:
[tex]\angle EFD = 0.5 * \overset{\huge\frown}{ED}[/tex]
[tex]\angle EFD = 0.5 * 120[/tex]
[tex]\angle EFD = 60[/tex]
From the question, we have:
[tex]\angle EGD = 60[/tex]
So, it is true that:
[tex]\angle EFD =\angle EGD[/tex]
To calculate the measure of arc FD, we have:
[tex]\overset{\huge\frown}{FD} + \overset{\huge\frown}{DE} + \overset{\huge\frown}{EF} =360[/tex]
Lengths EF and DE are congruent.
So, we have:
[tex]2\overset{\huge\frown}{FD} + \overset{\huge\frown}{DE} =360[/tex]
[tex]\overset{\huge\frown}{DE} = \overset{\huge\frown}{ED} = 120[/tex]
So, we have:
[tex]2\overset{\huge\frown}{FD} + 120 =360[/tex]
Divide through by 2
[tex]\overset{\huge\frown}{FD} + 60 =180[/tex]
Subtract 60 from both sides
[tex]\overset{\huge\frown}{FD} =120[/tex]
This means that:
[tex]\overset{\huge\frown}{FD} = \overset{\huge\frown}{ED}[/tex] and [tex]\overset{\huge\frown}{FD} =120[/tex] are true
Hence, the true statements are: [tex]\angle EFD =\angle EGD[/tex], [tex]\overset{\huge\frown}{FD} = \overset{\huge\frown}{ED}[/tex] and [tex]\overset{\huge\frown}{FD} =120[/tex]
Read more about cyclic theorems at:
https://brainly.com/question/26168678
There are blue, red and green pencils in the box—20 pencils total. There are 6 times more green pencils than blue pencils. There are fewer red pencils than green pencils. How many pencils do you need to take out of the box in order to get at least one red pencil among them?
Answer:
15
Step-by-step explanation:
Try 1, 2, 3, or 4 blue pencils. Then green is 6 times as many. Red must be the rest to make up 20 total.
No. of blue No. of green No. of red
1 6 13
2 12 6
3 18 -1
You can't have 3 blue pencils because 3 blue + 18 green = 21 pencils, and there are only 20.
If you have 1 blue and 6 green, then there must be 13 red, but red must be less than green, and 13 is not less than 6.
The only possibility is
2 blue, 12 green, 6 red
If you start taking out pencils, when you take out the first 14 they may be all blues or green, so only when you take out the 15th pencil do you know for sure there must be 1 green pencil.
The sales tax rate for the state of Washington was 7%.
What is the state sales tax on a $3,800 car in Washington?
$
What is the final cost of the car, including tax?
Answer:
Total cost of the car including tax=$4,066
Step-by-step explanation:
Sales tax rate=7%
Price of the car=$3800
Sales tax=7% of 3800
=7/100×3800
=$266
Total cost of the car=price of the car+ sales tax
=$3800+$266
=$4,066
Find the missing length indicated.
Answer:
Step-by-step explanation:
x=✓64*36=✓8^2*6^2
x=8*6
x=48
Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized
Answer:
[tex]m = 5 \sqrt{3}[/tex]
[tex]n = 5[/tex]
Step-by-step explanation:
Given
The triangle above
Required
Find the missing lengths
The missing lengths can be calculated by applying trigonometry ratios
From the triangle above,
the Hypotenuse is 10
Angle = 60
Calculating m
The relationship between m, the Hypotenuse and angle 60 is defined as follows;
[tex]sin \theta = \frac{Opp}{Hyp}[/tex]
Where [tex]\theta = 60[/tex]
[tex]Opp = m[/tex]
[tex]Hyp = 10[/tex]
The above formula becomes
[tex]sin60= \frac{m}{10}[/tex]
Multiply both sides by 10
[tex]10 * sin60= \frac{m}{10} * 10[/tex]
[tex]10 * sin60= m[/tex]
In radical from, [tex]sin60 = \frac{\sqrt{3}}{2}[/tex]
[tex]10 * sin60= m[/tex] becomes
[tex]10 * \frac{\sqrt{3}}{2}= m[/tex]
[tex]\frac{10* \sqrt{3}}{2}= m[/tex]
[tex]5 \sqrt{3}= m[/tex]
[tex]m = 5 \sqrt{3}[/tex]
Calculating n
The relationship between n, the Hypotenuse and angle 60 is defined as follows;
[tex]cos\theta = \frac{Adj}{Hyp}[/tex]
Where [tex]\theta = 60[/tex]
[tex]Adj = n[/tex]
[tex]Hyp = 10[/tex]
The above formula becomes
[tex]cos60= \frac{n}{10}[/tex]
Multiply both sides by 10
[tex]10 * cos60= \frac{n}{10} * 10[/tex]
[tex]10 * cos60= n[/tex]
In radical from, [tex]cos60= \frac{1}{2}[/tex]
[tex]10 * cos60= n[/tex] becomes
[tex]10 * \frac{1}{2}= n[/tex]
[tex]\frac{10*1}{2}= n[/tex]
[tex]5 = n[/tex]
[tex]n = 5[/tex]
MATH— Please help me answer this question. Hopefully you can see the picture