Answer:
3 2/3
Step-by-step explanation:
If the mean is 11 and there are 5 numbers then their sum is 5 × 11 = 55 We have the ratio of parts being a : b : c : d : e → 1 : 2 : 3 : 4 : 5 so the total count of parts is 1 + 2 + 3 + 4 + 5 = 15. a-1/15x55=55 divided by 5/ 15 divided by 5=11/3=3 2/3
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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If the angles are represented in degrees, find both angles sin(x+76)=cos(3x+2)
Step-by-step explanation:
[tex]x + 76 + 3x + 2 = 90[/tex]
[tex]4x + 78 = 90[/tex]
[tex]4x = 12[/tex]
[tex]x = 3[/tex]
Angle 1 is 79
Angle 2 is 11.
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
Why did my mom leave my dad.
Answer:
uh im sorry
Step-by-step explanation:
uh
Answer:
because she found me
Step-by-step explanation:
quite simple.
Mrs. Crawford is making sugar cookies. She had thirteen already made, and each batch can make eleven more cookies. How many batches does she need to make if she needs a total of 167 cookies?
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.
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
pls help meeeeeeeeeeeeee
Answer:
the right answer is:
(A) [tex]2+\frac{1}{2}a[/tex]Step-by-step explanation:
You take the equations that the exercise give you:
x + y = 4x - y = aNow you clear the "y" variable in any equation you want, in this case, I'm gonna use the second equation:
x - y = a-y = a - x3. y = x - a
And now, you'll replace this third equation in the equation you didn't take (the first in this case).
x + y = 4x + (x - a) = 4x + x - a = 4Add the x variables:
2x - a = 42x = 4 + ax = (4 + a) / 2That's the answer of the exercise, but you can represent this in this form:
x = (4 + a) / 2 ↔ [tex]x = \frac{4}{2} + \frac{1}{2} a[/tex]x = (4 + a) / 2 ↔ [tex]x = 2+ \frac{1}{2} a[/tex]By this reason, the right answer is [tex]x = 2+ \frac{1}{2} a[/tex].
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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Where is the mistake in the following problem?
1) 3/12
2)9/12
3)3/4
4)1/3
CAN SOMEONE PLEASE HELP ME IM STUCK ON THIS QUESTION AND ITS ONLY QUESTION 1!!
Answer:
D) -1 < x < 4
Task 4 Task 다. Given: m
Answer:
where the choices?
Step-by-step explanation:
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%
(っ◔◡◔)っ ♥ Hope It Helps ♥
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If a cube has a volume of 343 cubic yards, what is its surface area?
hope this helps-------------
Find the surface area of the rectangular prism
Answer:
430 cm squared
Step-by-step explanation:
SA= 2(Length x Base, Base x Height, Height x Length)
15cm x 5cm +
15cm x 7xm +
7cm x 15cm =
215cm
215cm x 2 = 430 cm squared.
(it's perimeter of a 3D object so it must be squared, then volume would be cubed)
I hope this helps <3
5÷
2
1
plz, help!!!!!!!!!!!!!!!
Answer:
5÷ 21 = 0.23809523809
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 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.
Find 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
Which is greater, -9/20 or -0.5?
Answer and Step-by-step explanation:
If we put [tex]-\frac{9}{20}[/tex] into decimal form, we get -0.45.
-0.45 is greater than -0.5, so,
[tex]-\frac{9}{20}[/tex] is greater than -0.5.
#teamtrees #PAW (Plant And Water)
I need help with question 18. The answer is53√3 ft^2. But how do I get there?
Answer:
Hope it helps....
Step-by-step explanation:
Answer:
52√3 ft²
Step-by-step explanation:
sin 60° = (√3) / 2 = h/8
h = 8 x (√3) / 2 = 4√3
cos 60° = 1/2 = a/8
a = 4 b = 15-4 = 11
area = left triangle + right rectangle
area = (4*4√3) / 2 + 11*4√3
= 8√3 + 44√3
= 52√3
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)
Roberto bought snacks to take to his soccer ball practice. He bought a bag of oranges that were $5.65 and a 12 pack of water bottles. The total cost was $12.13 before tax was added. Which equation could be used to find the cost of each water bottle,b?
A. 12(b+5.65)=12.13
B. 5.65(12+b)=12.13
C. 5.65b+12+12.13
D. 12b+5.65=12.13
whoever answers correctly and first will get a brainly
Answer:
d
Step-by-step explanation:
A diamond ring increases in value at a rate of 5% per year. If the ring was purchased for $1200, which equation would calculate how much will it be worth in 30 years?
Would it be
A - y = 1200(1+.05)^30
B - y = 30(1+.05)^1200
C - y = .05(1+1200)^30
Answer:
A - y = 1200(1+.05)^30
Step-by-step explanation:
In this case, you need to calculate the future value and the formula to calculate that is:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
The present value would be the price of the ring which is $1200. The rate is 5% per year and the number of periods of time is 30 years since you need to find the ring's worth in 30 years. Now, you can replace the values on the formula:
FV=1200*(1+0.05)^30
According to this, the answer is that the equation to calculate how much will it be worth in 30 years is: y = 1200(1+.05)^30.
3k^2-11k-4=0 solve with quadratic formula
7/20X5/5 equals? Any help
?
please help !! :)))
The distance from Kim's house to NYC is 100 miles more than the distance from her house to LA. If the sum of the distances is 3,000 miles, how far is it from Kim's house to New York City?
Please help and show how you solved it!!
Answer:
1550miles
Step-by-step explanation:
assume her house to LA has x miles, therefore her house to NYC is x+100miles
x+x+100=3000
2x=2900
x=1450
x+100=1550miles
Select the number that is a solution to the inequality t > 6.
A 2
B 6
C 5.2
D 6.01
E 0.6
Answer:
D. 6.01
Step-by-step explanation:
6.01 is greater than six.
Answer: D
Step-by-step explanation:
“>” means greater than. So, T has to be bigger than 6. 6.01 is bigger.
A suitcase is a rectangular prism whose dimensions are 1 1/4 feet by 1 1/2 feet by 2 1/4 feet.Find the volume of the suitcase.
Answer:
The answer is "[tex]\bold{\frac{135}{32}}[/tex]".
Step-by-step explanation:
[tex]Volume= length \times width \times height\\\\\to 1\frac{1}{4}= \frac{5}{4}\\\\\to 1\frac{1}{2}=\frac{3}{2}\\\\\to 2\frac{1}{4}=\frac{9}{4}\\\\\to Volume= \frac{5}{4} \times \frac{3}{2}\times \frac{9}{4} = \frac{135}{32}[/tex]