Answer:
70
Step-by-step explanation:
just trust me i had this question and i had a 100
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.
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A school group is raising money for a trip. The group needs $450 for travel and $325 for food. They have 6 weeks to raise money selling $1 candy bars.
What is the least number of candy bars the group needs to sell each week to afford the trip?
Answer:
Step-In total, the amount of money they will need to raise is:
= 450 + 325
= $775
by-step explanation:
They have 6 weeks to raise this money so the amount they have to raise per week is at least:
= 775/6
= $130
The candy bars cost $1 each. They will therefore have to sell a minimum of 130 candy bars each week to afford the trip.
pls help me plsssssssssss
Answer:
Step-by-step explanation:
How to solve: 1/3 x 23,26 x 7
Answer:
54.27333333
Step-by-step explanation:
just put them all into a calculator and multiply them
1/3*23.26*7=54.27333333
Answer:
around 54.27
Step-by-step explanation:
Just multiply the numbers or change them to decimals (1/3 = 0.333 , 23.26, and 7 = 7.0)
1/3 * 23.26 * 7 = 54.273 (repeating)
Find the volume of a cone with a height of 12m and a base diameter of 10m. Use the value 3.14 for π, and do not do any rounding. Be sure to include the correct unit in your answer.
314
Yes Yes Pog Pog Pog Pog Pog Pog
i dont understand this
Which could a dilation result in? Select all that apply.
a figure getting smaller
a figure moving to the left
a figure flipping upside down
a figure getting larger
a figure turning about a point
Answer: a figure getting smaller, and a figure getting larger because its changing its size of the shape.
Hope it helps :)
Answer:
first and second to last one on 2021 edge :)
Step-by-step explanation:
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.
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.
A 50,000 investment earns 18 percent annually. If b represents the balance and t represents the number of years
Answer: B = 50,000 * 1.18^t
Step-by-step explanation:
This requires the use of the Future Value formula.
Future value = Amount invested + ( 1 + rate) ^ number of years invested
Future value = B in this scenario.
t = number of years.
When putting in figures therefore, the formula becomes:
B = 50,000 * ( 1 + 18%) ^ t
B = 50,000 * 1.18^t
I need help with this questions
Answer:
Picture 1
Your choice C is correct
(x - (-2))² + (y - 9)² = 5² ⇒ (x + 2)² + (y - 9)² = 25Picture 2
(x + 5)² + (y - 6)² = 36(x - (-5))² + (y - 6)² = 6²r = 6, (h, k) = (-5, 6)Correct choice is C
Picture 3
(x + 5)² + (y + 2)² = 81(x - (-5))² + (y - (-2))² = 9²r = 9, (h, k) = (-5, -2)Correct choice is C
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 + 9Find mean of the following data.
X 5 10 15 20
F 3 6 3 4
25
4
Answer:
14.1
Step-by-step explanation:
Mean = sum of the items/ no. of items = ∑fx÷∑f = 705÷ 50 = 14.1
60 cars to 24 cars what is the decrease percentage
Answer:
It decreased 60%
Step-by-step explanation:
TO figure this out we must first find 1% of 60
60/100 = .6
Now we find the difference between 60 and 24
60 - 24 = 36
Now that we know how much it decreased we must now find out what percent 36 is of 60.
.6 x 60 = 36
So 36 out of 60 is 60%
So it decreased 60%
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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.
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Determine if the 2 triangles are congruent.
A) AAS
B) Not enough information
C) SAS
D) HL
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
7/20X5/5 equals? Any help
?
help i dont what to do
Answer:
area=breadth* height
2*9
Plz Help Me
Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza
24% of the students like hamburgers
58% of the students like chicken
8% of the students like all three
12% of the students like pizza and hamburgers
22% of the students like pizza and chicken
8% of the students like only hamburgers
What percent of the students did not like pizza, hamburgers or chicken?
Answer:
0%
Step-by-step explanation:
They all liked one type of food.
The percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza24% of the students like hamburgers58% of the students like chicken8% of the students like all three12% of the students like pizza and hamburgers22% of the students like pizza and chickenonly 8% of the students like hamburgersThe vann diagram which represent this result is attached below. 8% of the students like all three, so 4% like chicken and hamburger and 4% pizza and hamburger.
14% of the students like pizza and chicken. Thus, the percent of the students did not like pizza, hamburgers or chicken is,
[tex]100-(32+14+8+4+4+8+8)=22\%[/tex]
Thus, the percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
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Calcular la velocidad de propagación de una onda que tiene una frecuencia de 60Hz y una longitud de onda de 0.2 m
Respuesta:
12 m / s
Explicación paso a paso:
Dado :
Frecuencia de onda = 60 Hz
Longitud de onda = 0,2 m
La velocidad de propagación de la onda viene dada por:
Velocidad = frecuencia * longitud de onda
Velocidad de propagación de la onda = 60 * 0,2
Velocidad de propagación de la onda = 12 m / s
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!
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Mary bought a desk on sale for 88.40. This price was 74% less than the original price.
What was the original price?
Answer:
p = $340
Step-by-step explanation:
Let p represent the original price. Then the amount Mary paid was (100% - 74%) of the original price: 0.26p = $88.40.
Solving for p: p = $340
Check: what is 74% of $340? $251.60. Subtracting this from $340, we get $88.40. This agrees with the problem statement.
Paulina is going to give away some
stickers to her friends. She can
give an equal number of stickers
to 2, 3, or 5 people. Which number
of stickers could Paulina have?
A. 55
B. 60
C. 66
D. 70
Jada’s lawn mowing service charges $28 an hour plus a $20 fee to cover gas for the mower. Mai’slawn service charges $16 an hour, but a $44 fee. For how many hours will Jada’s service be cheaper than Mai’s?
I need the answer pretty quick plsss
Answer:
Jadas for 4 hours
Step-by-step explanation:
28+20=48
16+44=60
60 x 4 = ?
48 x 4 = ?
Overall Jada's plan is cheaper!!!!!1
Have a great day! Hope this helps!!!!!!!!!!
Task 4 Task 다. Given: m
Answer:
where the choices?
Step-by-step explanation:
Beyunka has six baseballs that she keeps at her grandparents’ house. That number represents 20% of the baseballs that come in a case. The relationship is shown in the tape diagram below. What is the total number of baseballs that come in a case?
Help
Answer:
30 is the total number of baseballs that come in a case
How many students chose snap?
Answer:
Well 40% of 120 is 48 so 48 students
Step-by-step explanation:
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
In 1978, the amount of earnings required to earn one Social Security credit was $250. Thirty-eight years later, in 2016, the amount was $1260. What was the percent increase in the amount required to earn a credit over this 38-year span?
Answer:
404%
Step-by-step explanation:
To find the percentage difference do the following: (FV - SV)/|SV| * 100
(1260 - 250)/|250| * 100 {Subtract 250 from 1260 to get 1010. The absolute value of 250 is 250.}
1010/250 * 100 {Divide 1010 by 250 to get 4.04, or 101/25.}
101/25 * 100/1 {CROSS CANCELLATION}
101 * 4 {Multiply 4 by 101 to get 404.}
404%
The percent increase in the amount required to earn a credit over 38 years is 404%.