Justin was asked to write six different equations based on the triangle below.
600
10
Four of the six equations that Justin wrote are correct. Select FOUR equations that are correct.
tan (60) = 73
tan ( 30 ) =
A
B.
c.
cos ( 30") =
D.
sin ( 60 ) = ?
E. F
cos (60) =
sin ( 30 ) = 3
Answers
Answer:
ADEF
Step-by-step explanation:
Four of the six equations that Justin wrote are correct which are Trigonometric functions as sin 60° =√3/2, cos 60° = 1/2, tan 60° = √3, and cot 60° = 1 /√3.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
Given that ΔABC
∠A = 60° and ∠B = 90° which is given in the figure
⇒ sin 60° = perpendiculer /hypotenuse
⇒ √3/2 = BC/10
⇒ BC = √3/2 × 10
⇒ BC = 5√3
⇒ tan 60° = perpendiculer /base
⇒ √3 = 5√3/AB
⇒ AB = 5√3/√3
⇒ AB = 5
⇒ sin 60° = 5√3/10 = √3/2
⇒ cos 60° = base / hypotenuse
⇒ cos 60° = 5/10 = 1/2
⇒ tan 60° = perpendiculer /base
⇒ tan 60° = 5√3/5 = √3
⇒ cot 60° = 1 /√3
Hence, four of the six equations that Justin wrote are correct which are Trigonometric functions as sin 60° =√3/2, cos 60° = 1/2, tan 60° = √3, and cot 60° = 1 /√3.
Learn more about the Trigonometric functions here:
brainly.com/question/6904750
#SPJ2
Related Questions
Simplify.
[tex]\sqrt{44}[/tex]
Answers
hope this helps :)
What is the answer to this fast smart people
Answers
Answer:
m<R = 106°
Step-by-step explanation:
Given,
m<R = (6x+10)°
m<S = (2x+5)°
m<T = (3x-11)°
Now,
6x+10°+2x+5°+3x-11° = 180°{the sum of angles of triangle is 180°}
or, 11x+4° = 180°
or, 11x = 180°-4
or, x = 176°/11
or, x = 16°
therefore, x = 16°
m<R = (6x+10)°
= 6×16°+10°
= 96°+10°
= 106°
need this asap!!! will give brainliest and a thanks! :))
Answers
Answer:
The answer is A
Step-by-step explanation:
I am smart
Anthony is shopping at a discount store. He really wants to buy a jacket that costs $129.99. The jacket is on sale for 25% off. Anthony also has a coupon for 35% off any item in the store. If the sales tax is 7.2% after discounts, what is the final sale price of the jacket?
Take the discounts off one at a time in the order listed, and then add on the tax. Round to the nearest cent.
Price after the first discount:
Price after both discounts:
Price after adding tax:
Answers
Answer:
dats alot
Step-by-step explanation:
What is the answer to this equation? 2x+2x+2=4x+2
Answers
Answer:
0
Step-by-step explanation:
You start off with 2x + 2x + 2 = 4x + 2.
You would then add like terms, as shown below.
4x + 2 = 4x + 2
Now, you would subtract 4x from both sides, and that would leave you with:
2 = 2
You would now subtract 2 from both sides, which would now leave you with 0.
Which one is true? Select all that apply.
A. The slope of AC is equal to the slope of BC.
B. The slope of AC is equal to the slope of BD.
C. The slope of AC is equal to the slope of line t.
D. The slope of line t is equal to EC/AE
E. the slope of line t is equal to FB/FD
F. The slope of line t is equal to AE/FD
Answers
Answer:
Options (A), (B), (C) and (E).
Step-by-step explanation:
Option (A).
Slope of AC is equal to the slope of BC.
Since, points A, B and C are collinear points,
Slopes of AC and BC will be equal.
True.
Option (B).
Since, points A, B, C and D are collinear points, slope of AC and BD will be equal.
True.
Option (C).
Points A and C are lying on line 't'.
Therefore, slope of line 't' and line AC will be equal.
True.
Option (D).
Slope of 't' = slope of line AC
= [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{AE}{EC}[/tex]
False.
Option (E).
Slope of line 't' = slope of line BD
= [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{FB}{FD}[/tex]
True.
Option (F).
Slope of line 't' = [tex]\frac{AE}{FD}[/tex]
False.
Find the interest on an investment of $45,000
compound annually at 5.25% for 6 years
A = P(1 + r)t
Answers
Answer:
The interest on the investment is $16,170.93811
Step-by-step explanation:
The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the new valueP is the initial valuer is the rate in decimaln is the number of periods in timet is the time∵ The investment is $45,000
∴ P = 45,000
∵ The interest on the investment is compounded annually at 5.25%
∴ r = 5.25% = 5.25 ÷ 100
∴ r = 0.0525
∴ n = 1 ⇒ compound annually
∵ It is for 6 years
∴ t = 6
→ Substitute them in the rule above
∵ [tex]A=45,000(1+\frac{0.0525}{1})^{1(6)}[/tex]
∴ [tex]A=45,000(1.0525)^{6}[/tex]
∴ A = 61,170.93811
∵ I = A - P, where I is the interest
∴ I = 61,170.93811 - 45,000
∴ I = 16,170.93811
∴ The interest on the investment is $16,170.93811
Given f (x) = 2x² +1evaluate f (-1).
Answers
Answer:
3
Step-by-step explanation:
f(x) = 2x^2 + 1
f(-1) means that wherever you see an x on the right hand side, you substitute -1.
f(-1) = 2(-1)^2 + 1 = 2 + 1 = 3
What is the y-intercept of y=
-3x
Answers
Marta is buying 7 tickets from Ticket Buy at $13.79 each. If the broker charges $2.50 handling per ticket and $9.00 shipping, how
much is her total cost?
A)$123 03
B)$96.53
C)$177.03
D)$159.53
Answers
Answer:
123.03
Step-by-step explanation:
96.53+17.5+9=
Complete each statement with a number that makes the statement true.
Column A
Column
1.
17 degrees
8. 8 degrees C
2
<-3 degrees
b. 16 degrees C
3.
>-4 degrees
64 degrees
4
-10 degrees C>
d. 5 degrees C
Answers
Answer:
Step-by-step explanation:
1). (d). 5°C < 7°C
2). (a). - 8°C < - 3°C
3). (c). 4°C > - 4°C
4). (b). - 10°C > - 16°C
Ed wants to buy a basketball for $5, but
his bank account only contains $3. If Ed
purchasos tho baskotball, how much
money will his bank account show?
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The question is in the image! Please help if u can its due really soon
Answers
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
If a = -9 and b = 4, what is the value of a + b ?
A. -5
B. 5
C. -13
D. 13
Answers
Answer:
A. -5
Step-by-step explanation:
-9 + 4 = -5
hope this helps
A pelican flies to 40 feet above sea level. It then drops down 40 feet to catch a fish. Where is the pelican now? Use the number line below to help you.
Answers
Answer:
Step-by-step explanation:
40 ft - 40 ft = 0
On sea level
how to change percentage to degree
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Answer:
A full circle has 360 degrees, which means that 100% of the circle is 360 degrees. First convert the percentage into a decimal. If you multiply 360 by 0.90, you get the degree measure that corresponds to the percentage, which is 324.
Step-by-step explanation:
HELP IDK WHAT TO DOOO
Answers
Answer:
yes shes correct
Step-by-step explanation:
she is correct because 4 and 4 equal 8 which means each tree coat 10 each which is 80$
Answer:
hint find the diference
Step-by-step explanation:
The height, h in feet, of a rocket is given by h=-16t^2+64t+190, where t is time in seconds. Find the maximum height of the rocket and find the time the rocket was in the air.
Answers
Step-by-step explanation:
The height, h in feet, of a rocket is given by, where t is time in seconds.
[tex]h=-16t^2+64t+190[/tex] ...(1)
We need to find the maximum height of the rocket and find the time the rocket was in the air. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d(-16t^2+64t+190)}{dt}=0\\\\-32t+64=0\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]
So, it will reach its maximum height in 2 seconds.
Now put t = 2 in equation (1) as follows :
[tex]h(2)=-16(2)^2+64(2)+190\\\\=254\ \text{feet}[/tex]
So, the maximum height of the rocket and find the time the rocket was in the air is 254 feet and 2 seconds respectively.
If f(x) = x and g(x) = X + 2, which statement about the graphs of the functions is true?
A. g is a translation of f 2 units down.
B. g is a translation of f 2 units to the right.
C. g is a translation of f 2 units to the left and 2 units down.
D. g is a translation of f 2 units up.
PLEASE HELP ME DUE IN 10 minutes!!!
Answers
Answer: D
Step-by-step explanation: +2 would be an upwards translation
Which of the following expressions is not equivalent to (-2)(8 +6+-3)?
(-2)(8 + 6) + (-2)(-3)
(-2)(8 + 6) + (-3)
(-2)(8) + (-2)(6) + (-2)(-3)
(-2)(8) + (-2)(6 +-3)
NEXT QUESTION
о
ASK FOR HELP
594
Answers
Answer:
[tex]b.)31\neq -22[/tex]
Step-by-step explanation:
Simplify each equation using PEMDAS:
Parentheses (x)
Exponents x²
Multiplication and Division, left to right × ÷
Addition and Subtraction, left to right - +
It is also important to follow PEMDAS when working within grouping symbols like parentheses.
Also, remember that two negatives make a positive, and when a negative and positive are multiplied, the result is always negative.
[tex](-2)(8+6+-3)\\\\-2*(8+6-3)\\\\-2*(14-3)\\\\-2*11\\\\-22[/tex]
Find which answer is not equal to -22.
a.) [tex](-2)(8+6)+(-2)(-3)\\\\-2*(8+6)-2*-3\\\\-2*14-2*-3\\\\-28-2*-3\\\\-28+6\\\\-22[/tex]
---------------------------------------------------
b.) [tex](-2)*(8+6)+(-3)\\\\-2*(8+6)-3\\\\-2*14-3\\\\-28-3\\\\-31[/tex]
---------------------------------------------------
c.) [tex](-2)(8)+(-2)(6)+(-2)(-3)\\\\-2*8-2*6-2*-3\\\\-16-2*6-2*-3\\\\-16-12-2*-3\\\\-16-12+6\\\\-28+6\\\\-22[/tex]
---------------------------------------------------
d.) [tex](-2)(8)+(-2)(6+-3)\\\\-2*8-2*(6-3)\\\\-2*8-2*3\\\\-16-2*3\\\\-16-6\\\\-22[/tex]
---------------------------------------------------
Option b is not equal to -22.
:Done
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy???
Answers
Answer: 4 and a half
Step-by-step explanation:
Solve the equation -x-3<0 for x
Answers
Q
H.
The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:
Step
Statements
Reasons
1
UV || WZ
Given
2
Points S. Q, R, and T all lie on the same line.
Given
3
mZSQT = 180°
Definition of a Straight Angle
Angle Addition Postulate
4
m2SQV + m2VQT = m_SQT
5
Substitution Property of Equality
6
m2VQT + mZZRS = 180°
Same-Side Interior Angles Theorem
Substitution Property of Equality
7
m2SQV+mZVQT = m2VQT + mZZRS
Answers
Answer:
i can't understnd it at all i mean you organized it but what does those mean??
Step-by-step explanation:
The equation y-2/3=(x-1/4) is written in point-slope from what equation in slope-intercept from
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Answer:
y=x+5/12
good luck...
Math is the only place where is not questionable as to why someone has 83.
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Answer:
true
Step-by-step explanation:
Evaluate each value expression for the given valueof x: 20-3x, x=5
Answers
Answer:
= 5
Step-by-step explanation:
20 - 3(5)
20 - 15
= 5
can someone help plz
Answers
Use two points and then do y-y/x-x
Answer:
6. a) 7/3
7. b) Y=20/3(x)
a number with a negative exponent can always be written using positive exponents in fraction form. the numerator will always be ___
please finish the sentence
Answers
Answer:
1
Step-by-step explanation:
i did this in 8th grade so last year. trust me
can i get brainlest
What is the slope of the line?
Answers
Answer:
2
Step-by-step explanation: the rise is 2 and the run is 1 and its rise over run so 2/1 and that equals 2
Answer:
the slope is 2
Step-by-step explanation:
(2,1), (0,-3)
m=2
Y'all please help me! Basically just match up the points with an equation.
write an equation of the line that passes through the given points.
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Answers
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