Answer:
41.0 cm^2 to nearest tenth.
Step-by-step explanation:
Required area = Area of the semicircle - area of the clear triangle
Area semicircle = 0.5πr^2
= 0.5π *6^2
= 18π.
Finding Altitude h of the triangle :
cos 60 = h / 6
h = 6 cos 60 = 6 * 1/2
= 3.
Finding Base b of the triangle:
sin 60 = 0.5b / 6
0.5b = 6 * sin 60
= 5.196.
So area of the triangle = h * 0.5b
= 3 * 5.196
Area of shaded region
= 18π - 3 * 5.196
= 40.96 cm^2
Answer:
38.52 cm²
Step-by-step explanation:
Take the shaded area to be found into 2 parts :
Left sectorTop area subtended by the chordArea of left sector
As the area subtended by the chord takes up an angle of 120°, the remaining angle of the semicircle is :180° - 120° = 60°Area = πr² x (angle of sector)/360°Area = 3.14 x (6)² x 60/360Area = 3.14 x 36 x 1/6Area = 3.14 x 6Area = 18.84 cm²Area subtended by top chord
Area (120° sector) - Area (triangle)Area = πr² x θ/360 - 1/2bhArea = 3.14 x 36 x 120/360 - 1/2 x 6 x 6Area = 3.14 x 12 - 18Area = 37.68 - 18Area = 19.68 cm²Area (shaded)
Area (left sector) + Area (subtended by chord)18.84 + 19.6838.52 cm²The following pattern has been formed from a circle with a diameter of 6cm that has been broken up into five congruent sectors. Calculate the perimeter of the pattern to four decimal places
The perimeter of this following pattern is
30.8496cm
2x² - 2/3 = 5 13
-
Help please
Answer:
i think the answer is x = 3
or x = -3 or
Step-by-step explanation:
On an eight-day hiking trek, Sam utilized six loaves of elf bread. If he consumes the same quantity of bread every day, he wants to know how many loaves of elf bread (b) he should bring on a 12-day hiking trip.
For a 12-day trip, how many loaves of elf bread should Sam bring?
Answer:
9
Step-by-step explanation:
So you would make use of the rules of direct proportion. When A increases B would also increase vice versa, in this case, A would represent the number of days and B would represent the amount of Elf Bread consumed. Let's say that the unknown value would be D. If we place this into a table it would say:
[tex]\left[\begin{array}{ccc}Days&8&12\\Number of loaves&6&D\end{array}\right][/tex]
Next, you'll make use of the cross-multiplication rule.
So 8 X D = 12 X 6
8D = 72
You'll then divide each side by 8.
[tex]\frac{8D}{8}[/tex] = [tex]\frac{72}{8}[/tex]
D = 9
Sam would consume 9 loaves of day for a 12-day trip.
Hope that I've explained this well enough
What is the value of the product (3 – 2i)(3 2i)? 5 9 4i 9 – 4i 13
Answer:
[tex]\left( 3-2i\right) \left( 3+2i\right) =13[/tex]
Step-by-step explanation:
Note :
i² = −1
(a - b)(a + b) = a² - b²
________________
[tex]\left( 3-2i\right) \left( 3+2i\right) =3^{2} - (2i)^2[/tex]
[tex]=9 - (2)^2\times i^2[/tex]
[tex]=9 - 4(i)^2[/tex]
[tex]=9-4\times(-1)[/tex]
[tex]=9+4[/tex]
[tex]=13[/tex]
Answer: (3 – 2i)(3 2i)=13
Step-by-step explanation:
edge2020
subtract (3√3+4√5) from (3√5-4√3) can someone please help me with this ASAP
Answer: [tex]\bold{-\sqrt{5}-7\sqrt{3}}}[/tex]
Step-by-step explanation:
[tex]\left(3\sqrt{5}-4\sqrt{3}\right)-\left(3\sqrt{3}+4\sqrt{5}\right)[/tex]
[tex]=3\sqrt{5}-4\sqrt{3}-3\sqrt{3}-4\sqrt{5}[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:3\sqrt{5}-4\sqrt{5}=-\sqrt{5}[/tex]
[tex]=-\sqrt{5}-4\sqrt{3}-3\sqrt{3}[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:-4\sqrt{3}-3\sqrt{3}=-7\sqrt{3}[/tex]
[tex]{=-\sqrt{5}-7\sqrt{3}}[/tex]
The yearbook committee polled 80 randomly selected students from a class of 320 ninth graders to see if they would be willing to pay more for a yearbook if their names were printed on the front. of the students who were surveyed, 26 of them said they would be willing to pay extra.
with a desired confidence interval of 90%, which has a z*-score of 1.645, what is the margin of error of this survey?
Using the z-distribution, as we are working with a proportion, it is found that the margin of error for the 90% confidence interval is of 0.0524 = 5.24%.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, the critical value is given as z = 1.645, and since 26 out of 80 students said they would be willing to pay extra:
[tex]n = 80, \pi = \frac{26}{80} = 0.325[/tex]
Then, the margin of error is of:
[tex]M = 1.645\sqrt{\frac{0.325(0.675)}{80}} = 0.0524[/tex]
More can be learned about the z-distribution at https://brainly.com/question/25890103
Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Find the probability of randomly choosing a penny from the jar, and then choosing a dime from the jar after the first coin is replaced.
Write the probability as a fraction in simplest form
11\44 for the dime, and 12\44 for the penny.
Step-by-step explanation:
11 dimes + 21 nickels + 12 pennies = 44 coins. 12\44 probability of randomly choosing a penny from the jar. And 11\44 probability of randomly choosing a dime AFTER the penny is replaced.
Does the graph represent a function? Why or why not?
Leah flips a coin and then she spins the spinner with 3 equal sections colored red green and blue what is the probility that the coin flips heads and the spinner lands on wither red or blue enter youanwser a percentage to the nearest percent
Answer:
33%
Step-by-step explanation:
Prob(heads) = 1/2
Prob(either red or blue) = 2/3
So Prob( heads and red/blue) = 1/2 * 2/3
= 2/6
= 1/3 which is 33%.
When an object is projected into the air, it follows the path of a parabola. The equation always has the
same form, but the numbers change based on the data for the projectile:
If a cannonball is launched from a height of 29.4 m above the ground with an initial velocity of 24.5 m/s,
then the equation that models its path would be h(t) =
-4.9+7 + 24.5t + 29.4. This graph shows its
path: What is the height of the cannonball before it is launched,
at t=0? Remember to include units
Answer:
29.4 m
Step-by-step explanation:
From the graph
You can clearly infer from the graph that the initial height of the cannon ball, before it is launched is 29.4 mJust find t = 0, and see where the line of the graph intersects the y-axis, which represents height of the cannon ball w.r.t time.From the equation
An even simpler method is substitute t = 0 into the equation for the motion of the cannon ballh(0) = -4.9(0)² + 24.5(0) + 29.4h(0) = 29.4 mNeed help with this math question
Answer:
SAS
Step-by-step explanation:
The sides are equal on the same side
the angles are also equal
and the other sides too
The athlete usually hits the target with a probability of 0.86. How many times would he hit the target if he did 50 shots?
Write equations for the horizontal and vertical lines passing through the point (3,9)
Horizontal line:
Vertical line:
Answer:
Horizontal: y = 9
Vertical: x = 3
Step-by-step explanation:
Any point is given in the form (x,y). The first number is the x and the second number is the y.
Horizontal lines (a left-right line like the horizon) have an equation in the form "y = anumber" This works because a horizontal line has ZERO slope. So there is no x in the equation because--
y = 0x + b
y = b (a number, use the y-number from the point)
A vertical line has undefined slope so you can't even pretend to use a slope equation. A vertical line (up and down) has an equation in the form
"x = anumber" Use the x from the point.
Horizontal line through (3,9) is y=9.
Vertical line through (3,9) is x=3
(co
Write a cosine function that has an amplitude of 2, a midline of 5 and a period of 8.
Answer:
y=2 cos (π/4x-π/4)
Step-by-step explanation:
Given
A cosine function has an amplitude of 2, a midline of 5 and a period of 8.
To find:
A cosine function.
Explanation:
Let the function be,
[tex]y=Acos(ws+p)[/tex]
Since amplitude is 2.
Then,
[tex]A=2[/tex]
Also, since the period is 8.
Then,
[tex]w=\frac{2\pi }{8}[/tex]
[tex]w=\frac{\pi }{4}[/tex]
And, since midline is 5.
Hence, the cosine function is,
y=2 cos ([tex]\frac{\pi }{4}[/tex]x-[tex]\frac{\pi }{4}[/tex]
1. What is the 90th percentile if the sample size is 11?
2. What is the simple size if the degree of freedom is 30?
A. 29
B. 31
C. 28
D. 30
3. What is the t-value if the sample size is 16 and area is 0.10?
4. In the t-distribution, what is the degree of freedom if n = 19?
I NEED IT NOW PLSS
Everly's age is 2 years more than 3 times Gage's age .If Everly is 23 years old, which equation represents how to find Gage's age ?
A 2e + 3 =23
B 2 e - 3 = 23
C 3e + 2 =23
D 3 e -2 = 23
need help please .
Answer:
Solution: C
Equation to find Gage's age: 3g + 2 = 23 (where g is Gage's age)
Step-by-step explanation:
Let e = Everly's age
Let g = Gage's age
Given:
Everly's age is 2 years more than 3 times Gage's age:⇒ e = 3g + 2
Given
Everly is 23 years old⇒ e = 23
Combine the equations to create an equation to find Gage's age:
⇒ 3g + 2 = 23
To find Gage's age, solve the equation for g:
⇒ 3g + 2 = 23
⇒ 3g = 21
⇒ g = 7
Therefore, Gage is 7 years old
solve the system of equations 25-x=-4y and 3x-2y=30
Answer:
the system of equations 25-x=-4y and 3x-2y=30
Step-by-step explanation:
the system of equations 25-x=-4y and 3x-2y=30
Answer:
(7, -9/2)
x=7
y=-9/2
Step-by-step explanation:
1. x=25+4y
2. 3x-2y=30
substitute 1 in 2
3. 75+12y-2y=30
simplify
10y=-45
y=-9/2
substitute y in to the second equation 3x-2y=30
3x+9=30
3x=21
x=7
Find the area of each.
Answer:
Hope the pictures will help you..
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
okay so i think the length of CD is 16cm
is y= x/2+6 linear or non-linear
What is pi with 400 numbers.
the first 400 digits of pi
3.1415926535897932384626433832795028841971
6939937510582097494459230781640628620899
8628034825342117067982148086513282306647
0938446095505822317253594081284811174502
8410270193852110555964462294895493038196
4428810975665933446128475648233786783165
2712019091456485669234603486104543266482
1339360726024914127372458700660631558817
4881520920962829254091715364367892590360
0113305305488204665213841469519415116094
Select all the correct triangles.
Which triangles in the coordinate plane are congruent to triangle A because they can be mapped onto it by a sequence of rigid transformations?
Answer:
triangle D and F
Step-by-step explanation:
triangle D and F are the same as A, just angled differently.
God bless! hope i helped someone, somehow.
Answer:
D,F
Step-by-step explanation:
????!!!!??!!?!!?!!?!!?!!!!?!!!!
Answer:
A.Step-by-step explanation:
if both increases the volume also increase as the same i.e.
twice length and twice radius = twice the volume of wax
MARK ME AS BRAINLISTGiven sinx=0.3, what is cosx? enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.
The value of the cox will be equal to Cosx=[tex]\pm[/tex]0.95
What is the value of cosx?It is given that
The value of Sinx=0.3
Now we know that
[tex]Sin^2x+Cos^2x=1\\\\0.3^2+Cos^2=1\\\\Cos^2=1-0.3^2\\\\Cos^2x=1-0.9\\\\Cos^x=0.91\\\\Cos=\sqrt{0.91}\\\\Cosx=\pm 0.95[/tex]
Hence the value of Cosx=[tex]\pm[/tex]0.95
To know more about trigonometry identities follow
https://brainly.com/question/24496175
Please help me
Solve for JL
Which inequality does the graph represent (pls I’m HORRIBLE at number lines so please answer both if possible, Ty)
Answer:
For #11 it is X≥-2. For #12 it is X<-1 I think
Step-by-step explanation:
I hope this helps you and please mark me as brainliest
please help with the question
Answer: (A) 11,-2/5
Step-by-step explanation:
when we solve the equation we get x=10 -5/2y and 3 x- 10 y = 37
then we substitute the value of "x" 3 (10-5/2y)- 10y=37
then we substitute the value oh "y" y= -2/5
solution
(x,y) = (11, -2/5)
What are the zeros of the following function?
Answer:
-4 and 2
Step-by-step explanation:
the graph intersects the x-axis only at the points (-4,0) and (2,0) so the only zeroes of the graph are going to be -2 and 2
Pythagorean theorem. Show your work!
Please help in really stuck!!
Answer:
[tex]\sqrt{29[/tex]
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2 = c^2. "a" and "b" represent the side lengths QR and PR, while "c" represents the hypotenuse PQ.
Let's plug in these values:
2^2 + 5^2 = c^2
4 + 25 = c^2
29 = c^2
sqrt 29 = c
Therefore "c" is the square root of 29.
Answer:
My answers is basically 29^2 or [tex]\sqrt{29}[/tex]
Step-by-step explanation:
Josiah scored 22 points in his basketball game, including x 2-point baskets; y 3-point baskets, and z free throws, worth 1 point each. He made a total of 13 baskets, with three times as many 2-point baskets as 3-point baskets. Which system of equations represents this situation?
Answer:
X+y=23 (x and y added equal the number of baskets made)
2x+3y=53 (since each basket is worth a certain amount of points, x and y must be multiplied by their amount of baskets and added together to get the total number of points)
Hope this helps!