Answer:
A = 76
Step-by-step explanation:
Formula of the area of a triangle: [tex]A=\frac{h*b}{2}[/tex]
Formula of a rectangle: [tex]A=l*w[/tex]
So starting with the triangle...You know that the height of the triangle is 7, and the base of the triangle is 8 because the base of the rectangle is the same as the triangle's base...
Now using the formula of the triangle...
A = [tex]\frac{7*8}{2}[/tex]
= 28
Now find the area of the whole retangle...The length of the rectangle is 13 because 7+6=13; the width is 8
Now using the formula of the rectangle...
A = [tex]13*8[/tex]
= 108
Now that you have the areas of both the triangle and the retangle...Do subtraction to find the shaded area...
[tex]108 - 28 = 76[/tex]
Simplify (1-x-x^2)(1-x^3)
Answer:
x^ 5 + x ^4 − x^ 3 − x^ 2 − x + 1
Step-by-step explanation:
(* ̄3 ̄)╭
Answer:
Simplified: x^5 + x^4 - x^3 - x^2 - x +1
Step-by-step explanation:
. The London Eye is a popular tourist attraction in London, England and is one of the largest Ferris Wheels in the world. It has a diameter of 135 meters and makes one revolution (counterclockwise) every 30 minutes. It is constructed so that the lowest part of the Eye reaches ground level, enabling passengers to simply walk on to, and off of, the ride. Find a sinsuoid which models the height h of the passenger above the ground in meters t minutes after they board the Eye at ground level.
Answer:
[tex]y=-67.5[cos(\frac{\pi}{15}t)-1][/tex]
Step-by-step explanation:
We can start solving this problem by doing a drawing of London Eye. (See attached picture).
From the picture, we can see that the tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:
[tex]y=-Acos(\omega t)+b[/tex]
where:
A=amplitude
[tex]\omega[/tex] = angular speed.
t= time (in minutes)
b= vertical shift.
In this case:
A= radius = 67.5 m
[tex]\omega=2\pi f[/tex]
where the frequency is the number of revolutions it takes every minute, in this case:
[tex]f=\frac{1}{30} rev/min[/tex]
so:
[tex]\omega=2\pi (\frac{1}{30})[/tex]
[tex]\omega=\frac{\pi}{15} rad/min [/tex]
and
b= radius, so
b=A
b=67.5m
so we can now build our equation:
[tex]y=-67.5cos(\frac{\pi}{15} t)+67.5[/tex]
which can be factored to:
[tex]y=-67.5[cos(\frac{\pi}{15}t)-1][/tex]
You can see a graph of what the function looks like in the end on the attached picture.
The required sinusoidal equation is [tex]y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]
Given that,
It has a diameter of 135 meters and makes one revolution (counterclockwise) every 30 minutes.
It is constructed so that the lowest part of the Eye reaches ground level, enabling passengers to simply walk on to, and off of, the ride.
We have to find,
A sinusoidal which models the height h of the passenger above the ground in meters t minutes after they board the Eye at ground level.
According to the question,
The tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:
[tex]y = -Acos(wt) + b[/tex]
Where, A=amplitude , [tex]\omega[/tex] = angular speed, t= time (in minutes) , b= vertical shift.
Then,
[tex]Radius = \dfrac{diameter}{2}\\\\Radius = \dfrac{135}{2}\\\\Radius = 65.5m[/tex]
The frequency is the number of revolutions it takes every minute is determined by the formula is,
[tex]\omega = 2\pi f[/tex]
Where,
[tex]f = \dfrac{1}{30} revolution \ per \ minute[/tex]
Then,
[tex]\omega = 2\pi \times \dfrac{1}{30}\\\\\omega = \dfrac{\pi }{15}\ radian \ per\ minute[/tex]
Here, The sinusoidal equation can be written as;
[tex]y = -67.5cos\dfrac{\pi t}{15} + 67.5\\\\y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]
Hence, The required sinusoidal equation is [tex]y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]
To know more about Frequency click the link given below.
https://brainly.com/question/9661952
The original price and percent paid of a 20% discount and a $14.40 sale price.
An electronics store is having a 15% off sale. Suppose the sale price(p) of a laptop is $495. Which statement are true for this stuation
A. P+ 0.15p represents the sales price
B. P- 0.15p represent the sales price
C. 0.85p represents the sales price
D. The sale price is 420.75
E. The sale price is 569.25
Please just give me the answer choices by the letter and not a photo i will give 15 points
Answer:
B, C, and D are true. 0.15price is 15% subtracted, 0.85 is with 15% subtracted, 420.75 is the sale price calculated.
How do u solve this?
Answer:
? = 2 Full Answer: 1/2
Step-by-step explanation:
A regular die has only 6 numbers: 1, 2, 3, 4, 5, & 6.
In those numbers, there are 3 odd numbers, and 3 even numbers. This would mean that the probability of getting an odd number would be 3/6.
But to simplify it, 3/6 ALSO equals 1/2
Answer:
1/2 is the answer
Step-by-step explanation:
A die has 6 possible outcomes: 1, 2, 3, 4, 5, 6
Out of these numbers 3 are odd numbers.
P(Event) = Number of favourable outcomes/ Total number of outcomes
P(odd) = 3/6
= 1/2
In ΔFGH, f = 35 inches, g = 20 inches and h=30 inches. Find the measure of ∠H to the nearest degree.
9514 1404 393
Answer:
59°
Step-by-step explanation:
The law of cosines tells you ...
h² = f² +g² -2fg·cos(H)
Solving for angle H gives ...
H = arccos((f² +g² -h²)/(2fg)) = arccos(725/1400) ≈ 58.811°
∠H ≈ 59°
Answer:
100
Step-by-step explanation:
it just is
List all multiples of 10 up to 100.
Write an equation or inequality
1.) eight less than twice a number is more than 18.
Answer:
8 - 2n > 18
Step-by-step explanation:
8 less than 2 * a number so represent it with a variable 8 - 2*n
then more than so > 18
plzzz zhelpppp plzzz
Answer: true
Step-by-step explanation:
Answer: true
Step-by-step explanation:
Please help me, I don’t understand!
Answer:
y=9x+7
Step-by-step explanation:
the number in front of x is always the slope and the number after it is the Y intercept where the line first crosses the Y axis
5x-y=-6
y=-7x+6
find y and x and show work
Answer:
5x-y=-6.............1
y=-7x+6...........2
substituting value of y in equation 1
5x-(-7x+6)=-6
5x+7x-6=-6
12x=0
x=0/12=0
substituting value of x in equation 1
5×0-y=-6
y=6
An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the plane
take off in order to avoid crashing into the building?
Answer:
16.69°
Step-by-step explanation:
Given that,
Height of the building, h = 60 foot
Distance from the base of the building, b = 60 foot
We need to find the angle of elevation must the plane takes off in order to avoid crashing into the building. So,
[tex]\tan\theta=\dfrac{60}{200}\\\\\theta=\tan^{-1}\dfrac{60}{200}\\\\=16.69^{\circ}[/tex]
So, the required angle is 16.69°.
In ΔTUV, t = 560 inches, v = 400 inches and ∠V=19°. Find all possible values of ∠T, to the nearest degree
Answer:
27 and 153 degrees
Step-by-step explanation:
Delta math
Si un conductor llena su tanque con $600 y recorre 250 kilómetros, ¿Cuántos kilómetros podrá recorrer con $350 de combustible? (Explica cómo llegaste a tu respuesta)6666
Answer:
145.83 kilómetros.
Step-by-step explanation:
Si un conductor llena su tanque con $600 y recorre 250 kilómetros, para determinar cuántos kilómetros podrá recorrer con $350 de combustible se debe realizar el siguiente cálculo:
600 = 250
350 = X
350 x 250 / 600 = X
87,500 / 600 = X
145.83 = X
Así, con $350 de combustible se podrán recorrer 145.83 kilómetros.
Can someone help me out with this one I will give 20 points
Answer:
8(4k-12)
Step-by-step explanation:
you can really only check and guess here and it happens to be the second choice 8(4k-12)
8(4k-12)
32k -96
please help me i have to find a table but I don't know how to
Answer:
it is one of the bottom 2 I think:)
find the cost of painting square board of size 36 CM at the rate of $4 per square centimetre
Please help me out!!
Answer:
294cm²
Step-by-step explanation:
Given the formula for surface area expressed as 6L^2
TSA = 6L²
Given that L = 7cm
Substitute
TSA = 6(7)²
TSA = 6 * 49
TSA = 294cm²
Hence the total surface area is 294cm²
Solve |3x – 2| = |x + 1| Question 12 options: A) x = 3∕2 or x = 1∕4 B) No solutions C) x = 3 or x = –4 D) x = 1∕4
Answer:
x = 3/2
Step-by-step explanation:
Step (1) :
We should put like term togther:
3x - x = 2 +1
2x = 3
Step (2) :
Divide bothe side by 2:
2x/2 = 3/2
x = 3/2
Nixon receives an annual salary of $55,770. He receives 26 equal paychecks during the year. How much does he receive in each paycheck?
Answer:
2145
Step-by-step explanation: 55,770/26=2145
Answer:
answer = 2145 per paycheck
Step-by-step explanation:
please hurry up and answer
Answer:
y = 2x + 8
Hope this helps
Please show all work(open the question to see the image)
9514 1404 393
Answer:
20
Step-by-step explanation:
The two angles shown are complementary. The corner angles in a rectangle are right angles: 90°.
(4x -12) +(x +2) = 90
5x = 100 . . . . . . collect terms, add 10
x = 20 . . . . . . . . divide by 5
If someone could help it would mean a lot..
Based on the graph, how much did Lydia charge for each ounce of pumpkin seeds?
A $0.50
B $1.00
C $2.00
D $12.00
Please answer the question and don’t put weird stuff
Answer:
the answer is c 2 dollars
The work of a student trying to solve the equation 2(2x − 3) = 6 + 2x + 4 is shown below:
Step 1: 2(2x − 3) = 6 + 2x + 4
Step 2: 4x − 3 = 10 + 2x
Step 3: 4x − 2x = 10 + 3
Step 4: 2x = 13
Step 5: x = 6.5
In which step did the student first make an error and what is the correct step? (4 points)
Group of answer choices
Step 3: 4x + 2x = 10 + 3
Step 2: 4x − 3 = 2 + 2x
Step 3: 4x − 2x = 10 - 3
Step 2: 4x − 6 = 10 + 2x
Answer:
Step 2: 4x - 6 = 10 + 2x
Step-by-step explanation:
2 needs to be distributed to all terms inside the parentheses.
Answer:
Step 2 is wrong, and the right step 2 is 4x − 6 = 10 + 2x
Step-by-step explanation:
The student didn't multiply 2(3) in step 2
Parents of students at a middle school
were randomly selected to participate
in a survey. Forty-two out of 60 parents
who were surveyed support a proposal to
buy new computers. There are a total of
456 parents with students at the middle
school. Which is the best estimate of the
number of those parents likely to support
the new proposal?
A. 182
B. 319
C. 365
D. 438
Answer:
(B). 319
Step-by-step explanation:
[tex]\frac{42}{60}[/tex] = [tex]\frac{x}{456}[/tex]
[tex]\frac{7}{10}[/tex] = [tex]\frac{x}{456}[/tex]
x = [tex]\frac{7*456}{10}[/tex] ≈ 319
The best estimate of the number of those parents likely to support the new proposal is 319. So the option is (B) 319.
What is constant of proportionality?Firstly, there is proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called constant of proportionality.
Parents of students at a middle school were randomly selected to participate in a survey.
42 out of 60 parents who were surveyed support a proposal to buy new computers.
There are a total of 456 parents with students at the middle-school.
[tex]\dfrac{42}{60} = \dfrac{x}{456} \\\\\\x = \dfrac{42}{60} \times 456\\\\x = \dfrac{7}{10} \times 456\\\\x = 319[/tex]
Therefore, the best estimate of the number of those parents likely to support the new proposal is 319.
Learn more about directly inversely proportional relationship variable here:
https://brainly.com/question/13082482
#SPJ2
26.) Using x as the unknown number, write the statement below as an equation.
The sum of twice a number and 7 is equal to the sum of the number and 6
Answer:
true
Step-by-step explanation:
The points in the table lie on a line. Find the slope of the line. Then draw its
graph.
3.
4.
0
-3
3
х
6
-2
х
-1
0
1
3
y
2
1
-7
0
y
1
-3
5
y
o
0
I need help on number 3 and 4
Answer: I need a better picture to solve the problem
Step-by-step explanation:
Kristl has saved 30%
of her tuition for
dance class. She
needs to have $600
save. How much has
she saved so far?
Answer:
$180
Step-by-step explanation:
Which fraction is less then 1/3 or 1/5
Answer:
1/12
Step-by-step explanation:
it is correct i know it is
Answer: 1/5 is
Step-by-step explanation:
1/5 = 0.2
1/3 = 0.333
Which equation has the greatest positive rate of change?
O y = x - 2
O y = 4x + 4
O y = 2x - 4
O y = 0
Answer:
y=4x+4
Step-by-step explanation:
It has the biggest slope of the equations of 4, and increases the most.