Answer:
a) 8.8 square centimetres
b) 31.8 square centimetres
c) (3a + 12) square centimetres
d) Area = (2b + 2c + 4) square centimetres
Step-by-step explanation:
a) We have to split the diagram into three separate rectangles as shown below.
The area of A:
Area = 5.3 * 1 = 5.3 square centimetres
The area of B:
Area = 3.3 * 1 = 3.3 square centimetres
The area of C:
Area = 2 * 1 = 2 square centimetres
The area of the shape is the sum of the areas of the three shapes:
Area = 5.3 + 3.3 + 2 = 8.8 square centimetres
b) We have to split the diagram into two separate rectangles as shown below.
Note:(The diagram has conflicting values for 2.6 and 2.1 but I went with 2.6 as it seems more feasible in the diagram)
The area of A:
Area = 3 * 2.6 = 7.8 square centimetres
The area of B:
Area = 6 * 4 = 24 square centimetres
The area of the shape is the sum of the areas of the two shapes:
Area = 7.8 + 24 = 31.8 square centimetres
c) The shape is a rectangle and so its area is:
Area = 3 * (a + 4) = (3a + 12) square centimetres
d) The shape is a trapezium and so its area is:
Area = 0.5(A + B)H
where A = c cm
B = b + 2 cm
H = 4 cm
The area of the shape is therefore:
Area = 0.5 * (c + b + 2) * 4
Area = 2 * (b + c + 2)
Area = (2b + 2c + 4) square centimetres
i need help i will give brainlyest to who ever just tells me the answers with a small explanations
Answer:
1. 180 - 55 = 125
2. 180 - 125 = 55
3. 180 - 55 = 125
4. 180 - 70 = 110
5. 180 - 110 = 70
6. 180 - 70 = 110
7. 180 - 110 = 70
8. 180 - 141 = 39
These are all the right answers, can I please have brainliest I need 1 more.
Answer:
1. 125º
2. 55º
3. 125º
4. 110º
5. 70º
6. 110º
7. 70º
8. 39º
Step-by-step explanation:
Hey there!
1.
XVR and WVX are supplementary angles meaning we can do,
180-55 = 125º
2.
Find RVS,
180 - 125 = 55º
3.
WVS,
180 - 55 = 125º
4.
RST,
We need RSV,
55 + 55 = 110
180 - 110 = 70
180 - 70 = 110º
5.
RSV = 70º
stated in A.4
6. VSU
110º
It is across from RST meaning it is 110.
7. UST
70º
Across from RSV
8. TUS
180 - 141
= 39º
Hope this helps :)
The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units. An isosceles triangle is rotated about line k on one side. The opposite side has a length of 24 units. Which best describes the resulting three-dimensional shape? a cone with a base radius of 17 units a cone with a base radius of 34 units a cylinder with a base radius of 17 units a cylinder with a base radius of 34 units
Answer:
a cone with a base radius of 17 units
Step-by-step explanation:
The computation of three-dimensional shape is shown below:-
Data provided
Perimeter of Triangle = 58 units
One non equal side = 24 units
We will assume two equal side = x units
x + x + 24 = 58
2 x = 58 - 24
2 x = 34
[tex]x = \frac{34}{2}[/tex]
x = 17
As we can see that the triangle is rotated about line k
This will give in a cone as it is a dimensional shape of three
So, the shape which is new will be of cone having radius 17 units
slant height 24
height k units
Answer:
A
Step-by-step explanation:
I will make u brainliest n give u five stars if u answer this right Pls find the area oh H in mm squared
Answer:
[tex]24200 mm^{2}[/tex]
Step-by-step explanation:
200*50+200*50+70*60
=24200 mm^{2}
In 1833 a ship arrived inCalcutta with 120 tons remaining of its cargo of ice. One third of the original cargo was lost because it had melted on the voyage. How many tons of ice was the ship carrying when it set sail? A.40 B.80 C.120 D.150 E.180
Answer: 180
Step-by-step explanation:
Let the tons of ice the ship was carrying when it set sail be y.
We are told that one third of the original cargo was lost because it had melted on the voyage and that it arrived in Calcutta with 120 tons remaining of its cargo of ice.
This means that (1 - 1/3 = 2/3) remained which was the 120 tons remaining. This implies that:
2/3 × y = 120
2y/3 = 120
2y = 120 × 3
2y = 360
y = 360/2
y = 180
The ship was carrying 180 tons of ice when it set sail
the figure is cut into 8 equal pieces shade 3/4 of the figure
Answer:
You have to shade 6 pieces.
Step-by-step explanation:
Hope it helps!
V
The
to prove A
triangle congruency theorem can be used
2 AONP.
M
N
o
Р
Answer:
The SAS(Side-Angle-Side) triangle congruency theorem can be used to prove Triangle MNL is congruent to ONP.
Step-by-step explanation:
We would use the side-angle-side theorem because the two triangles both have two equal sides and one angle. For instance, side MN has two lines and so does side ON has two lines. Same goes with sides NL and NP.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
See below
Step-by-step explanation:
The SAS triangle congruency theorem can be used to prove ΔMNL ≅ ΔONP.
The SAS (Side-Angle-Side) postulate will be used because two sides and one angle are congruent.
They are the following:
=> NM ≅ NO (Given)
=> NP ≅ NL (Given)
=> ∠LNM ≅ ∠PNO (Vertical Angles)
In the figure ABCD is a parallelogram. P, Q, R and S are the midpoint of the sides of the parallelogram. Prove that PQ = RS and QR = PS.
Answer:
ΔRCQ = ΔAPS
QR = PS (CPCTC)
ΔSRD ≅ ΔQPB
PQ = RS (CPCTC)
Step-by-step explanation:
Given that ABCD is a parallelogram, we have;
AD = BC, and DC = AB (Definition of a parallelogram)
AD = AS + SD Given S is midpoint of AD
Similarly,
DC = DR + RC
BC = BQ + QC
AB = AP + PB
RC = DR = AP = PB
BQ = QC = QC = BQ segments on either sides of midpoint
∠BCA = ∠DAB (opposite interior angles of a parallelogram)
ΔRQC ≅ ΔSPA
ΔRCQ = ΔAPS (Side Angle Side SAS rule of congruency)
Therefore, segment QR = segment PS (QR = PS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC)
Similarly we have;
∠CDA = ∠CBA (opposite interior angles of a parallelogram)
ΔSRD ≅ ΔQPB (opposite interior angles of a parallelogram)
Therefore, segment PQ = segment RS (PQ = RS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC).
What are the points
Answer:
Step-by-step explanation:
x-y=6
(0,-6),(6,0)
4x+y=4
(0,4),(1,0)
point of intersection:
Answer:
for first eq
three points are (7,-1) (6,0) and (5,1)
for second eq
three points are (1,0) (0,4) and (-1,8)
point of intersecton is (2,-4)
Step-by-step explanation:
check by substituting if u want
hope i helped
pls give brainliest
im trying to level up
Water drips from a faucet at a rate of 41 drops/minute. Assuming there are 15,000 drops in a gallon, how many minutes would it take for the dripping faucet to fill a 1‑gallon bucket? Round your answer to the nearest whole number. will give brainliest
Answer:
366 minute
Step-by-step explanation:
first divide 15000 by 41 since there are 41 drops per minute and you get 365.85 so then you round it and get 366
Pls help I can't understand
Answer:
A
Step-by-step explanation:
This shape is a trapezoid. We can divide into two parts: a triangle and a rectangle.
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let A' be the area of the triangle.
● A'= (b*h)/2
b is the base and h is teh heigth.
b= 26-20 = 6 mm
● A'= (6*14)/2 = 42 mm^2
●●●●●●●●●●●●●●●●●●●●●●●●
Let A" be the area of the rectangle.
A"= L*w
L is the length and w is the width.
A"= 14*20
A"= 280 mm^2
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let A be the area of the trapezoid.
A= A'+A"
A= 42+280
A= 322 mm^2
Solve the equation. \dfrac5{13}=t-\dfrac{6}{13} 13 5 =t− 13 6 start fraction, 5, divided by, 13, end fraction, equals, t, minus, start fraction, 6, divided by, 13, end fraction t=t=t, equals
Answer:
11 /13 = t
Step-by-step explanation:
5/13 = t -6/13
Add 6/13 to each side
5/13 + 6/13 = t -6/13+ 6/13
11 /13 = t
Answer:
[tex]t=\frac{11}{13}[/tex]
Step-by-step explanation:
[tex]\frac{5}{13} = t -\frac{6}{13}[/tex]
Add [tex]\frac{6}{13}[/tex] to both sides.
[tex]\frac{5}{13} + \frac{6}{13} = t -\frac{6}{13} + \frac{6}{13}[/tex]
[tex]\frac{11}{13} =t[/tex]
7
A section of a rectangle is shaded.
The area of the shaded section is 63 square units. What
is the value of x?
7
х
9 units
11 units
O 18 units
21 units
This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.
Answer:
11 units
Step-by-step explanation:
The shaded portion of the rectangle forms the shape of a trapezium
The area of a trapezium = 1/2(a + b)h
From the diagram, we can see than x = b
a = 7 units
b = 7 units
Area of the trapezium = Area of the shaded portion = 63 square units
A = 1/2(a + b)h
63 = 1/2(7 + b)7
63 = 1/2(49 + 7b)
63 × 2 = 49 + 7b
126 - 49 = 7b
7b = 77
b = 77/7
b = 11 units
Since x = b, x = 11 units
The value of x is 11
Start by calculating the area (A) of the trapezoid using
[tex]A= 0.5 * (a + b)h[/tex]
Using the parameters from the complete question, we have:
[tex]63 = 0.5 * (7 + x) * 7[/tex]
Multiply both sides by 2
[tex]126 = (7 + x) * 7[/tex]
Divide both sides by 7
[tex]18 = 7 + x[/tex]
Subtract 7 from both sides
[tex]x = 11[/tex]
Hence, the value of x is 11
Read more about shaded areas at:
https://brainly.com/question/24579466
YO PLZ HELP!! MARKING BRAINIEST!!
Answer:
x = 26, 16
Step-by-step explanation:
( x-21) ^2 = 25
Take the square root of each side
sqrt(( x-21) ^2) = ±sqrt(25)
x-21 = ±5
Add 21 to each side
x-21+21 = 21±5
x = 21±5
x = 21+5 and x = 21-5
x = 26, 16
Please answer please this in two minutes
Answer:
s= 14
Step-by-step explanation:
The missing side is s
sin 30° = 7/s switch s and sin 30°
s = 7/sin 30°
sin 30° is 0.5
so :
s = 7/0.5s= 14What is 3.41 (where the .41 is repeating) written as a fraction?
Please help!!
Answer:
41/99
Step-by-step explanation:
There are two types of non terminating decimals. These are: Simple and Mixed
The one that you wrote up here is Simple, Since 41 is the only number that goes on repeating itself.
And mixed non terminating decimal is like 0.352 whereas 52 keeps repeating itself.
So when you change a non terminating decimal the denominator is always 9. But it depends on the decimal whether it is simple or mixed.
Since the decimal you wrote is simple and 2 digits keep on repeating themselves the denominator will be 99.
And the numerator will be the decimal number that keeps repeating itself without the repeating bar.
Therefore, the answer is 41/99.
Hope it helps ;) ❤❤❤
a) A and B are the subsets of a universal set U in which there are n (U) = 54,
n (A) = 32, n (B) = 22 and n (
AB) = 9.
(i) Draw a Venn-diagram to illustrate the above information.
(ii) Find the value of n (AUB).
Step-by-step explanation:
I DON'T KNOW WHICH ANSWER IS CORRECT .
BUT MY ANSWER CAME THIS .
I HOPE IT WILL HELP YOU.
HAVE A NICE DAY.....
Factoriza e indica la cantidad de factores primos: P(m) = a(m+1) + b(m+1) –c(m+1)
A) 2
B) 3
C) 5
D) 1
E) 4
Answer:
Step-by-step explanation:
P (m) = a (m + 1) + b (m + 1) - c (m + 1)
P (m) = (a + b - c) (m + 1)
There are 2 prime factors
A box contains 6 red, 3 white, 2 green, and 1 black (total 12) identical balls. What is the least number of balls necessary to take out randomly (without looking) to be sure of getting at least two white balls?
Answer:
10
Step-by-step explanation:
12 total and 3 whites
there is 10 11 and 12.
Ruth left her home at 9 am and walked to the library. She got to the library at 10 30 am. Ruth walked at a speed of 4 mph. (a) Work out the distance Ruth walked.
Answer:
she walked 6 miles.
Step-by-step explanation:
We know that Ruth walks at a speed of 4 mph and it took her 1.5 hours to walk from her home to the library (from 9 to 10.30).
We can solve this using a rule of three:
If she walks 4 miles in 1 hour, how many hours did she walk in 1.5 hours?
1 hour 4 miles
1.5 hours x miles
Solving for x we get:
[tex]x=\frac{1.5(4)}{1} =6[/tex] miles
Thus, she walked a distance of 6 miles
The distance between her home and the library is the number of meters between them.
The distance walked is 6 m
The speed is given as:
[tex]\mathbf{Speed = 4mph}[/tex]
The time spent walking is calculated as:
[tex]\mathbf{Time = 10:30am - 9:00am}[/tex]
[tex]\mathbf{Time = 1.5\ hrs}[/tex]
So, the distance is calculated as:
[tex]\mathbf{Distance = Speed \times Time}[/tex]
Substitute known values
[tex]\mathbf{Distance = 4mph \times 1.5hrs}[/tex]
[tex]\mathbf{Distance = 6m}[/tex]
Hence, the distance walked is 6 m
Read more about distance at:
https://brainly.com/question/9150462
I REALLY NEED HELP PLZZZ. I WILL MARK YOU AS THE BRAINLIEST ANSWER IF U GIVE A GOOD RESPONSE TO THE QUESTIONS!!!!
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
It looks lilke one of those old'n day Juice makers
2, 3 , and 4 would be the part im talking about.
You can write : I seleted the story called Old In Day Juice Makers
( I don't know about the paragraph, sorry)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Find f. f '''(x) = cos(x), f(0) = 8, f '(0) = 4, f ''(0) = 9 f(x) =
======================================================
Work Shown:
f ''' (x) = cos(x) .... third derivative
f '' (x) = sin(x)+C ... integrate both sides to get second derivative. Don't forget the +C at the end
We are given f '' (0) = 9, so we'll make use of this to find C
f '' (x) = sin(x)+C
f '' (0) = sin(0)+C
9 = sin(0) + C
9 = 0 + C
9 = C
C = 9
Therefore, f '' (x) = sin(x)+C turns into f '' (x) = sin(x)+9
------------
Integrate both sides of the second derivative to get the first derivative function
f '' (x) = sin(x)+9
f ' (x) = -cos(x)+9x+D ... D is some constant
Make use of f ' (0) = 4 to find D
f ' (x) = -cos(x)+9x+D
f ' (0) = -cos(0)+9(0)+D
4 = -1 + 0 + D
D = 5
So we have f ' (x) = -cos(x)+9x+D turn into f ' (x) = -cos(x)+9x+5
------------
Lastly, apply another round of integrals and substitutions to find the f(x) function. We'll use f(0) = 8.
f ' (x) = -cos(x)+9x+5
f(x) = -sin(x) + (9/2)x^2 + 5x + E .... E is some constant
f(0) = -sin(0) + (9/2)(0)^2 + 5(0) + E
8 = 0 + 0 + 0 = E
E = 8
------------
We have
f(x) = -sin(x) + (9/2)x^2 + 5x + E
turn into
f(x) = -sin(x) + (9/2)x^2 + 5x + 8
An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time a) What is population of interest? b) What is the sample? c) Was this a representative sample? Explain. d) How should the company determine the percentage of their flights that are on time?
a) The population is all of the flights belonging to the particular airline. It's not all flights in general because the airline does not have control over a rival company's flight schedule.
------------------
b) The sample is the 5 airlines the company selected. Ideally the sample should represent the population as much as possible. The larger the sample, the more representative the sample is.
------------------
c) No, the sample is likely not representative because one day of flight does not represent the entire lifetime of all flights done so far for that company. This particular day could have been a very good day with good weather, which may explain why the 5 flights were all on time.
------------------
d) It would be better for the company to select the days at random and sample all of the flights for those particular days chosen. This is a cluster sample. Each cluster is a day. Also, I think more flights should be sampled. Five flights does not seem like enough.
Please HELP me with this question! I am really struggling with this...
A) 22°
Step-by-step explanation:∡DBG = (360° - BD - BG)/2
= (360° - 170° - 146°)/2
= 44°/2
= 22°
Help mee! Deadliest question.. Asap!!
Answer:
134 136 138 139 141 142 144 146 147 149 155 165
Step-by-step explanation:
You just had to put least to greatest
The dimensions of a closed rectangular box are measured as 90 centimeters, 50centimeters, and 90 centimeters, respectively, with the error in each measurement at most .2.2 centimeters. Use differentials to estimate the maximum error in calculating the surface area of the box.
Answer:
184 cm²
Step-by-step explanation:
Surface area of the rectangular box is expressed as S = 2(LW+LH+WH)
L is the length of the box = 90 cm
W is the width of the box = 50 cm
H is the height of the box= 90 cm
If there are error of at most 0.2 cm in each measurement, then the total surface area using differential estimate will be expressed as shown;
S = 2{(LdW+WdL) + (LdH+HdL) + (WdH+HdW)
Note that dL = dW = dH = 0.2 cm
Substituting the given values into the formula to estimate the maximum error in calculating the surface area of the box
S = 2{(90(0.2)+50(0.2)) + (90(0.2)+90(0.2)) + (50(0.2)+90(0.2))
S = 2{18+10+18+18+10+18}
S = 2(92)
S = 184 cm²
Hence, the maximum error in calculating the surface area of the box is 184cm²
Solve the following question
The difference of two numbers is 12 and their sum is 20 find the numbers
Answer:
they are 16 and 4
Step-by-step explanation:
We can call the numbers x and y and we can write:
x - y = 12
x + y = 20
Adding these equations gives us 2x = 32 which means x = 16 and substituting this value into the first equation gives us y = 4.
Answer:
The numbers are 16 and 4
Step-by-step explanation:
Let the two numbers be x and y
x-y = 12
x+y = 20
Add the two equations together
x-y = 12
x+y = 20
-------------------
2x = 32
Divide by 2
2x/2 =32/2
x = 16
Now find y
x+y =20
16+y =20
Subtract 16
y = 20-16
y = 4
By moving point G, how many triangles is it possible to draw, keeping the measure of just one angle constant (in this case, m∠FDE)? In how many instances are all three angle measures of ∆DEF equal to those of the original triangle, ∆ABC?
Step-by-step explanation:
Keeping, one angle FDE, many triangles are possible since length of no segment is fixed and only one angle is fixed.
At many instances, triangle ABC and DEF have same angle measurements. Referring to the image attached here.
As point G moved on the ray EF, many triangles with same angle measurements as of ABC can be formed.
Answer:
Since no segment length is fixed and only one angle is fixed, multiple triangles are possible while maintaining one angle FDE. Triangles ABC and DEF frequently have the same measured angles. referring to the picture that is attached. Numerous triangles with the same angle measurements as ABC can be constructed when point G moves along ray EF.
Step-by-step explanation:
HELP PLZZZ
If f(x)=3x+2, what is f(5)?
Answer:
[tex]f(5)=17[/tex]
Step-by-step explanation:
[tex]f(x)=3x+2[/tex]
[tex]f(5)=3(5)+2[/tex]
[tex]f(5)=15+2[/tex]
[tex]f(5)=17[/tex]
Answer:
17
Step-by-step explanation:
f(x) = 3x + 2
f(5) = 3(5)+ 2
f(5) = 15 + 2
f(5) = 17
ASAP!!! PLEASE help me with this question!
Answer:
C. 16π
Step-by-step explanation:
Well we need to find the area of the top circle which has a radius of 4cm.
π(4)^2
16π in terms of pi
Thus,
the answer is C. 16π.
Hope this helps :)
Point A (−3,4) and point C is at (2,−6). Find the coordinates of point B on AC such that the ratio of AB to AC is 4:5.
Answer:
(-7/9, -4/9)
Step-by-step explanation:
i used this formula \left(\frac{m\cdot x_{2}+n\cdot x_{1}}{m+n},\frac{m\cdot y_{2}+n\cdot y_{1}}{m+n}\right) in the desmos calculator and this is the answer i got GL
Hope do will on what you are doing :)
If you want you can give me brainliest, it helps me a lot
have a good day :)
Answer:
I got (1,-4) on my Khan
Step-by-step explanation: