1. Find the exact value of sin and cos of 195 degrees.
Answer:
Sin195* = -[tex]\frac{\sqrt{6}-\sqrt{2} }{4 }[/tex]
Cos195* = - [tex]\frac{\sqrt{6} +\sqrt{2} }{4}[/tex]
Step-by-step explanation:
The diagram shows a square ABCD
M is the midpoint of AB
N is the midpoint of AD
The area of the shaded triangle AMN is 8cm^2
Work out the area of triangle MCN
The area of the triangle, Δ AMN is 8 cm², so the area of the triangle, ΔMCN is 24 cm².
A triangle is one of the most basic geometric figures with 3 sides, 3 angles, and 3 vertices.
The area of a triangle is half of the product of the base and height.
Given that
ABCD is square and M and N are mid-points of lines AB and AD respectively.
Area of triangle, ΔAMN = 8 cm²
[tex]\dfrac{1}{2} \times AN \times AM = 8\\AN \times AM = 8 \times 2\\AN \times AM = 16[/tex] ...(i)
Since ABCD is square, therefore AB = AD.
Also, as M and N are mid-points of lines AB and AD, so
AN = AM.
Substitute AN = AM in equation (i),
[tex]AN \times AN = 16\\AN^2 = 16\\AN = \sqrt{16}\\AN = 4\ cm[/tex]
So,
AD = 2 × AN
= 2 × 4
= 8 cm
As ABCD is square,
AB = BC = CD = AD = 8 cm.
Area of the square ABCD = 8² = 64.
Since CD = BC, ND = MB, ∠D = ∠B.
Therefore by SAS property of similarity,
ΔCDN ≅ ΔCBM
Area of the triangle, ΔCDN = Area of the triangle, ΔCBM.
[tex]= \dfrac{1}{2} \times CB \times BM\\= \dfrac{1}{2} \times 8 \times 4\\\\= 16\ cm^2[/tex]
Area of the triangle, ΔCMN = Area of ABCD - Area of ΔAMN - Area of ΔCDN - Area of ΔCBM
Area of the triangle, ΔCMN = 64 - 8 - 16 - 16
= 24 cm²
Therefore, the area of ΔCMN is 24 cm².
Learn more about Triangles here:
https://brainly.com/question/2773823
#SPJ4
Please answer #12 and 15 ... proportions?
Answer:
12) z = 64
15) q = 75
Step-by-step explanation:
12) 40/65 = z/10⁴
Cross Multiply
65 × z = 40 × 104
65z = 4160
z = 4160 / 65
z = 64
15)32.5/25 = 97.5/q
Cross Multiply
25 × 97.5 = 32.5× q
q = 25 × 97.5/32.5
q = 2437.5 /32.5
q = 75
Tickets to the movies cost $9.50 for adults and $6.50 for kids. A large group bought 12 tickets and spent a total of $87. How many kid's tickets did the group purchase?
Please include an equation.
Answer:
12 ticketsStep-by-step explanation:
please brainleist please tysm☺️☺️☺️☺️☺️
Answer:
9 kid's ticketsStep-by-step explanation:
Given
Kid's tickets = k, one ticket costs $6.5, total cost 6.5kAdult tickets = a, one ticket costs $9.5, total cost 9.5aEquations:
a + k = 129.5a + 6.5k = 87Substitute a into second equation a = 12 - k and solve for k:
9.5(12 - k) + 6.5k = 87114 - 9.5k + 6.5k = 873k = 114 - 873k = 27k = 9
7/20X5/5 equals? Any help
?
WILL MARK BRAINLYEST! 1567584+3121350393X59=
Answer:184161240771
Step-by-step explanation:
Calculator
Answer:
184,161,240,771
Step-by-step explanation:
have a nice day!
₊˚ ‧꒰ mei ꒱ ‧₊˚
i need help with this one
Answer:
1 ounce
Step-by-step explanation:
You gotta get 1/4 to match 5/8 and that would get you 2/8. Add that together gets you 7/8 and 1 ounce remaining.
brainliest?
Choose the greatest-.03; .3; .291; or.34
Answer:
The greatest number would therefore be 291
Answer:
.34
Step-by-step explanation:
It's literally the biggest out of the four.
Task 4 Task 다. Given: m
Answer:
where the choices?
Step-by-step explanation:
In the data set below, what is the median
What is the surface area?
5 mm
4 mm
5 mm
6 mm
7 mm
square millimeters
Answer:
136 square millimeters
Step-by-step explanation:
Please help me!!
3. Determine whether or not AB is tangent to circle O. Show your work.
Answer:
not tangent
Step-by-step explanation:
two reasons, first
Triangle AOB is not a right triangle
line AB intersects the circle O at two points.
The line AB touching the circle at point B in the considered diagram is not tangent to the circle O.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
How are radius and tangent to a circle related?There is a theorem in mathematics that:
If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to the line L.
So, if AB is a tangent, then ∠ABO = 90° and therefore satisfies Pythagoras theorem.
Assuming AB is tangent, then ABO is right angled we should get:
[tex]H^2 = P^2 + B^2\\30^2 = 16^2 + 12^2\\900 = 256 + 144\\900= 500[/tex]
This statement is false, and therefore, so as our assumption is false that AB is tangent to circle O. Thus, AB is not tangent to circle O.
(so it might be that even if AB looks like touching at one point the circle O, but AB might be intersecting the circle at two points, or not touching it at all)
Thus, the line AB touching the circle at point B in the considered diagram is not tangent to the circle O.
Learn more about tangent to a circle here:
https://brainly.com/question/7942024
Beth is a real estate agent. She earns 6.5% commission on each sale she makes. Last month she sold a house for
$225,000 and another for $195,000. What did Beth earn in commissions for the month?
Answer:
Beth earned $27,300 in commissions
Step-by-step explanation:
225,000 * 6.5% = 14,625
195,000 * 6.5% = 12,675
12,675 + 14,625 = 27,300
So, the answer is 27,300
Hope this helps! :)
What is the domain of the graph?
Answer:
B
Step-by-step explanation:
x is greater than or equal to 2 and x is less than or equal to 5
Using the markings below, determine which of the following is the measure of angle 2
Answer:
4. 132°Step-by-step explanation:
Both the triangles on the left and right are isosceles
The top angle of the triangle on the left:
180° - 2*69° = 42°The top angle of the triangle on the right:
90° - 42° = 48°This is the same angle as supplementary with angle 2:
∠2 = 180° - 48° = 132°Correct choice is 4
Determine if the 2 triangles are congruent.
A) AAS
B) Not enough information
C) SAS
D) HL
find the volume of an construction cone if it has a radius of 9 in and a height of 18 in
Answer:
1526.04 cubic inches
Step-by-step explanation:
V=π r 2 h
3
= pi x r(r) x (height/3)
= 3.14 x 9(9) x (18/3)
= 3.14 x 81 x 6 = 1526.04 cubic inches
I've tried to get the answer for this 13 times now (not joking), plzzz help: write a formula that represents the number of people in the nth row (pre-calc problem, I only need the formula)
I will report if sent a link
Answer:
2820 seatsaₙ = 3n + 9Step-by-step explanation:
This is an AP with:
The first term a₁ = 12Common difference d = 3Number of terms n = 40Number of the seats:
Sₙ = 1/2*n(a₁ + aₙ) = 1/2n(2a₁ + (n - 1)d)S₄₀ = 1/2*40(12*2 + 39*3) = 2820 seatsFormula of nth term:
aₙ = a₁ + (n - 1)daₙ = 12 + (n - 1)*3 = 12 + 3n - 3 = 3n + 9aₙ = 3n + 9Explain the differences and similarities between 8 + (−5) and 8 − 5.
Answer:
The use different equations but both equal 3
Step-by-step explanation:
A ball is thrown into the air from the top of a building. The height, h (t), of the ball
above the ground t seconds after it is thrown can be modeled by the function
h (t) = -16t+64t + 80. Explain the meaning of h (0) = 80 in the context of
the problem.
Answer:
See below
Step-by-step explanation:
h(0) is the height of the ball when it is thrown. h(0) = 80 ft. The top of the building is 80 ft. above ground.
I didnt answer the question but if it looks like i did i did by accident but still help me
Answer:
15% because it's 15 out of 100
Seven buddies got together to eat chicken wings. There were total of 133 chicken wings. If each of the buddies ate the same number of chicken wings, how many did each person eat?
A 19
B. 13
C. 15
D. 17
Answer:
133÷7=19
19 is the answer
WILL GIVE BRAINLIEST IF CORRECT!!!!Carlos Rivera purchased a car three years ago at a price of $21,950. Today 1 point
the car's estimated worth is $15,110. The Complete Car Cost Guide states
the annual variable cost of the car to be $1,150 with insurance costing
$1,259. Rivera paid $140 for license and registration fees and he drove the
car about 17,000 miles. After computing the car's depreciation and its total
annual cost, find the cost per mile.*
a$0.26
b$0.28
c$0.30
d$0.32
Answer:
It would be B
Step-by-step explanation:
I did this question not to long ago
7. Marcy is taking part in a summer movie club. She will
earn 3 points for each movie she attends throughout the
summer. Which equation represents the relationship
between y, the total points, and x the number of movies?
A y=3x
B. y = 3+x
C. x= 3y
D. x=y+3
Answer:
The equation that represents the relationship between 'y' the total points, and 'x' the number of movies is option A;
A y = 3·x
Step-by-step explanation:
The information required in the question is an equation that represents the the relationship between the number of movie attended and the total number of points Marcy has given that she earns a fixed amount of points for attending each movie
The number of points she will earn for attending each movie = 3 points
The total number of points she will earn 'y' when she attends 'x' number of movies is given as follows;
y = 3 + 3 + 3 + ... + 3, 'x' number of times, and we can write
[tex]y = \sum\limits_{i =1}^x 3 = 3 \times x[/tex]
Therefore the equation that represents the relationship between 'y' the total points, and 'x' the number of movies is y = 3·x.
At the library, Herb spent hour looking for a book, 1 hour
reading, and į hour doing research on the computer. How many
hours did Herb spend at the library?
Answer:
3 hours obviously
Step-by-step explanation:
1 hour looking for a book, 1 hour reading it, and one hour doing research on the book = 3 hours
PLEASE HELP!! I WILL GIVE POINTS AND BRAINEST!
Answer:
Yes. They are similar because they have the same shape and one is just flipped and smaller.
Answer: Yes
Step-by-step explanation: For a quadrilateral to be similar, the angles must be congruent. This is true since the angle measures are the same since it flipped and dilated.
12 is what percentige of 48
Answer:
25%
Step-by-step explanation:
100% = 48
1% = 48 ÷ 100 = 0.48
12 ÷ 0.48 = 25%
Answer:
25%
Step-by-step explanation:
12/48 is simplified to 1/4 or .25 and to get a percent just move the decimal over to the right twice then you'll get 25%
simplify the expression below (3³-3²)+2³=
Answer:
1^1+2^3 I believe
Step-by-step explanation:
=3³-²+2³
=3¹ + 2³
= 3+ 8
=11
PLZ HELP ASAP BRANILIEST!!!! Seven hundred people are gathered in a trapezoidal park with bases measuring 50 yards and 90 yards and a height of 50 yards.
Find the population density of the park.
The population density of the park is ______ people per square yard.
Find the population density if the bases and height are halved.
The population density of the park if the bases and height are halved is
________people per square yard.
Answer:
0.2, 0.8
Step-by-step explanation:
The area of the park is 0.5h(b1 + b2), where h is the height, b1 is the first base, and b2 is the other base.
Plug the values in:
Area = 0.5(50)(50+90) = 0.5(50)(140) = (50)(70) = 3500
Since 700 people are in the park, there is 700/3500 = 0.2 people per square yard.
If the bases and height are halved, the new area is:
Area = 0.5(25)(25+45) = (35)(25) = 875
The new population density is 700/875 = 0.8 people per square yard.
A concrete mixing tub contains 34 liters of water and 22 liters of sand. Starting at the same time, water is added to the tub at a rate of 5 liters per minute,
while sand is also added to the tub at a rate of 7 liters per minute.
Part A
In how many minutes will the tub contain equal amounts of water and sand?
2 minutes
6 minutes
12 minutes
24 minutes
Answer:
6 minutes
6
6 minutes
6 minutes