Answer:
Angle A = 41, Arc CE = 42, Angle C = 41, Angle D = 40, Angle ABE = 61
Step-by-step explanation:
Angle A = Arc BD/2 (Inscribed Angle)
Angle A = 82/2
Angle A = 41
Arc CE = 2 x Angle CEB (Inscribed Angle)
Arc CE = 2 x 21
Arc CE = 42
Angle C = Arc BD/2 (Inscribed Angle)
Angle C = 82/2
Angle C = 41
Angle D = Arc AC/2 (Inscribed Angle)
Angle D = 80/2
Angle D = 40
Angle ABE = Arc AE/2
Angle ABE = Arc AC + Arc CE/2
Angle ABE = 122/2
Angle ABE = 61
m < A = [tex]39^{0}[/tex] , mCE = [tex]40^{0}[/tex], m < c = [tex]39^{0}[/tex], m < D = [tex]37^{0}[/tex] m < ABE = [tex]57^{0}[/tex]
What are angles in a circle ?A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around.
a. m < A = [tex]\frac{1}{2}[/tex] mBD
= [tex]\frac{1}{2}[/tex] × [tex]78^{0}[/tex]
= [tex]39^{0}[/tex]
b. mCE = 2m < CBE
= 2 × [tex]20^{0}[/tex]
= [tex]40^{0}[/tex]
c. m < c = m < A = [tex]39^{0}[/tex]
d. m < D = [tex]\frac{1}{2}[/tex] mAC
= [tex]\frac{1}{2}[/tex] × [tex]74^{0}[/tex]
= [tex]37^{0}[/tex]
e. m < ABE = [tex]\frac{1}{2}[/tex] mAC + [tex]\frac{1}{2}[/tex] mCE
= [tex]37^{0}[/tex] + [tex]20^{0}[/tex]
= [tex]57^{0}[/tex]
Hence, m < A = [tex]39^{0}[/tex] , mCE = [tex]40^{0}[/tex], m < c = [tex]39^{0}[/tex], m < D = [tex]37^{0}[/tex] m < ABE = [tex]57^{0}[/tex]
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A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32t + 6. Describe in detail (using formulas and/or specific steps needed) TWO ways to find the maximum height reached by the ball.
Answer:
1) Using properties of the quadratic equation:
Here the height equation is:
h(t) = -16t^2 + 32t + 6
We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.
Then, the vertex of the quadratic equation will be the maximum.
Remember that for a general quadratic equation:
a*x^2 + b*x + c = y
the x-value of the vertex is:
x = -b/2a
Then in our case, the vertex is at:
t = -32/(2*-16) = 1
The maximum height will be the height equation evaluated in this time:
h(1) = -16*1^2 + 32*1 + 6 = 22
The maximum height is 22ft
2) Second method, using physics.
We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).
If the height equation is:
h(t) = -16*t^2 + 32*t + 6
the velocity equation is the first derivation of h(t)
Remember that for a function f(x) = a*x^n
we have that:
df(x)/dx = n*a*x^(n-1)
Then:
v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0
v(t) = -32*t + 32
Now we need to find the value of t such that the velocity is equal to zero:
v(t) = 0 = -32*t + 32
32*t = 32
t = 32/32 = 1
So the maximum height is at t = 1
(same as before)
Now we just need to evaluate the height equation in t = 1:
h(1) = -16*1^2 + 32*1 + 6 = 22
The maximum height is 22ft
Help please me please please need explanation
9514 1404 393
Answer:
a) see attached
b) 1/3
Step-by-step explanation:
Your grid doesn't come with any coordinate axes, so you will need to draw those and label them. You will also need to determine the number of grid squares for each unit. (I suggest 2 grid squares per unit to give you a little more distance between the points you plot. The attachment shows 5 small squares per unit. You may not have this much space on your graph.)
Plot the points. Once you do this, you can see that their horizontal difference is 3 units and their vertical difference is 1 unit. The right point is above the left point, so the slope is positive:
m = (rise)/(run) = 1/3 . . . slope of the line
Math question please show work due today last day to submit Assignments or I fail please help
Answer:
The polygons are similar.
Step-by-step explanation:
By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.
Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.
The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is [tex]\frac{3}{3.75}[/tex].
The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is [tex]\frac{5}{6.25}[/tex].
If these polygons are similar, these proportions must be equal.
[tex]\frac{3}{3.75}=\frac{5}{6.25},\\0.8=0.8\:\checkmark[/tex]
Checking, we see that these proportions are equal, and therefore the polygons are similar.
James is using cement to make a new sidewalk and new steps.
Part A
He will make a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick.
What is the volume, in cubic feet, of the cement used to make the sidewalk? Show or explain all of the steps you used to determine your answer.
Part B
This diagram shows James’s design for the steps. The height of each step will be 6 inches. All angles in the diagram are right angles.
I need it now please!
The volume, of the cement used to make the sidewalk is 8 ft³
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given that, James is using cement to make a new sidewalk and new steps,
He will make a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick.
Volume = length x width x height
Volume = 8 x 4 x 0.25 = 8 ft³
Hence, the volume, of the cement used to make the sidewalk is 8 ft³
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Match each expression with its sum or difference
Answer:
1-4=-3
-1-4=-5
-1+4=3
1-|-4|=5
Answer:
[tex]1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5[/tex]
Step-by-step explanation:
The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.
Tao uses elimination to solve the following system of linear equations.
Given:
The system of equation is:
[tex]-2x+4y=16[/tex]
[tex]2x+2y=8[/tex]
To find:
The solution of the given system of equations.
Solution:
We have,
[tex]-2x+4y=16[/tex] ...(i)
[tex]2x+2y=8[/tex] ...(ii)
Add (i) and (ii) to eliminate the variable x.
[tex]6y=24[/tex]
[tex]y=\dfrac{24}{6}[/tex]
[tex]y=4[/tex]
Putting [tex]y=4[/tex] in (ii), we get
[tex]2x+2(4)=8[/tex]
[tex]2x+8=8[/tex]
[tex]2x=8-8[/tex]
[tex]2x=0[/tex]
Divide both sides by 2.
[tex]x=0[/tex]
Therefore, the solution of given system of equations is (0,4). Hence, the correct option is A.
Answer:
(0,4) or A
Step-by-step explanation:
Edge 2021
What is the value of the product (3 - 2i)(3 + 2i)
Answer:
13
Step-by-step explanation:
(3 - 2i)(3 + 2i)
FOIL
first 3*3 = 9
outer 3*2i = 6i
inner -2i*3 = -6i
last -2i * 2i = -4i^2 = -4(-1) =4
Add together
9+6i-6i+4 = 13
30 pts 5 stars thanks and brainliest please- this question is really hard...
Answer:
From least to greatest
C
B
A
Step-by-step explanation:
Function A is the only one with a positive y-intercept
so it's the greatest
Function B has a y-intercept of -1 as read of the graph
it is the middle one
Function C has a y-intercept of -9/4 as given in point (0, -9/4)
this is the least
-----------------
From least to greatest
C
B
A
−n+(−4)−(−4n)+6 find equivalent expressions PLZ
Answer:
3n+2
Step-by-step explanation:
−n+(−4)−(−4n)+6
Combine like terms
−n−(−4n)+6+(−4)
A negative negative is like adding
−n+(4n)+6+(-4)
3n+2
3
33%
A fair dice has six sides, numbered 1 to 6
After it is rolled, five of the numbers can be seen.
ws
a) Write down the probability that one of these five numbers is 3
(1)
b) Work out the least possible sum of the five numbers.
(2)
Answer:
a) 5/6 probability that one of the five numbers is 3
b) the least possible sum of the five numbers will be 15
as the least will come from the lowest 5 numbers
you have at most $20.25 to spend at a store. Shirts cost $11.50 each, and pants cost $16 each. Let s be numbers of shirts and p be number of pants. Write an inequality that represents the numbers of shirts and pants you can afford. DO NOT INCLUDE THE DOLLAR SIGN IN YOU INEQUALITY. An inequality is______
is this an algebra class? if so it just
11.50x + 16y = 20.25
Solve for. . Write your answer as “x=__”
Answer:
x=50
Step-by-step explanation:
Since it's a straight line, 3x-20+x=180. 4x=200, x=50
A particle is moving with acceleration a ( t ) = 18 t + 16 . Its position at time t = 0 is s ( 0 ) = 10 and its velocity at time t = 0 is v ( 0 ) = 16 . What is its position at time t = 8 ?
Answer:
[tex]s(8)=2186[/tex]
Step-by-step explanation:
A particle is moving with acceleration modeled by the function:
[tex]a(t)=18t+16[/tex]
We are given that its position s(t) at t = 0 is 10 and that its velocity v(t) at t = 0 is 16.
And we want to find its position at t = 8.
Velocity is the integral of the acceleration. Hence:
[tex]\displaystyle v(t)=\int a(t)\, dt=\int 18t+16\, dt[/tex]
Find the velocity. Remember the constant of integration!
[tex]v(t)=9t^2+16t+C[/tex]
Since v(t) is 16 when t = 0:
[tex](16)=9(0)^2+16(0)+C\Rightarrow C=16[/tex]
Hence, our velocity is given by:
[tex]v(t)=9t^2+16t+16[/tex]
Position is the integral of the velocity. Hence:
[tex]\displaystyle s(t)=\int v(t)\, dt=\int 9t^2+16t+16\, dt[/tex]
Integrate:
[tex]\displaystyle s(t)=3t^3+8t^2+16t+C[/tex]
s(t) is 10 when t = 10. Hence:
[tex]C=10[/tex]
So, our position function is:
[tex]s(t)=3t^3+8t^2+16t+10[/tex]
The position at t = 8 will be:
[tex]s(8)=3(8)^3+8(8)^2+16(8)+10=2186[/tex]
any method that uses formulas, figures, or proportions to measure an object Is a(n) ______?
Answer:
Indirect measurement
Step-by-step explanation:
Maria's house is due south of Boise and due east of marching. Mamas house is 12 miles from Boise and 20 miles are marching. How far apart are Boise in marching as the crow flies? Round your answer to the nearest 10th
Answer:
23.32 Miles
Step-by-step explanation:
According to the Question,
Given, Maria's house is due south of Boise and due east of marching & Maria's house is 12 miles from Boise and 20 miles From marching .(For Diagram Please Find in Attachment)
In Triangle ABC , Apply Pythagoras Theorem, We get
AC²=AB² + BC²
AC² = 12² + 20²
AC² = 544 ⇒ √544 ⇔ 23.32 miles
??!?!?!?!?!!?!?!?!!?!!!?!!!!?
Answer:
The third option, a rational number
like 1/5 + 2.5 is still rational (but neither irrational nor whole/an integer)
it would be 0.2 + 2.5 = 2.7 btw
or
1/5 + 5/2
= 2/10 + 25/10
= 27/10
Uadrilateral ABCD is dilated at center (0,0) with scale factor 1/2 to form quadrilateral A'B'C'D'. What is the length of A'B'?
Answer:
i think isA
Step-by-step explanation:
Need help finding the cost! ASAP!
Answer:
Apple Cost: $1.10
Orange Cost: $1.05
Three oranges and two apples cost: $5.35
Step-by-step explanation:
What number makes the expression a perfect square? X squared -12x +
Answer:
36
Step-by-step explanation:
x²-12x+36 = (x-6)(x-6)
2 of 8
Given that y = 8 cm and 0 = 44", work out a rounded to 1 DP.
Oo
The diagram is not drawn accurately.
2=
cm
PLEASE HELP
Answer:
x ≈ 5.6 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin44° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex] = [tex]\frac{x}{8}[/tex] ( multiply both sides by 8 )
8 × sin44° = x , then
x ≈ 5.6 cm ( to 1 dec. place )
IMA In a certain Algebra 2 class of 23 students, 7 of them play basketball and 12 of them play baseball. There are 9 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball
Answer:
19/28 or about 68%
Step-by-step explanation:
7 + 12 + 9 = 28
7 + 12/28
19/28
Which choice is equivalent to the product below when x is greater than 0?
I think that's ur answer
Help ASAP !!!
What is the angle of 1
Answer:
100°
Step-by-step explanation:
m L 1 = (180-100) + 20 = 80+20 = 100°
Find m∠1 and m∠2. Tell which theorem can be used.
Answer:
1 = 117 ( vertically opposite angles are equal )
2 = 117 ( corresponding angles are always equal )
Step-by-step explanation:
Answer:
angle one=122 because it is using the alternate interior angle theorem
angle 2=58 because it is using the consecutive interior angle theorem
hope this helps
have a good day :)
Step-by-step explanation:
remember consecutive=same sine 122 is on the same side of angle 2 just substract 180-122=58
since 122 is on the opposite side of angle 1 it's going to be alternate something so since it's on the inside its going to be alternate interior angle
-4.3 + x equals 0 selected place on the number line to positive value of x
Answer:
x is equal to 4.3
Step-by-step explanation:
since it's -4.3 + x is equal to 0
you take -4.3 to the other side of the equal sign which makes it positive and x is equal to 4.3
Kendra spent ⅓ of her allowance on a book and ⅖ on a snack. If she had four dollars remaining after purchasing a book and snack, what was the total amount of her allowance?
Answer: 15$
Step-by-step explanation:
Given
Kendra spent one-third of allowance on a book and two-fifth on snack.
If she had four dollar remaining after purchase
Suppose x is the original amount
[tex]\therefore x-\dfrac{x}{3}-\dfrac{2x}{5}=4\\\\\Rightarrow \dfrac{15x-5x-6x}{15}=4\\\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]
Thus, 15$ was her total allowance.
857,963 five has a value of
Answer: 5 has a value of 50 000 2.
18/27=1/3 9/15<4/4 3/4<2/3 5/6>11/12 which is a true statement?
Answer:
The correct answer us 9/15<4/4
Can I please have a brainliest? I want to rank up :)
I NEED HELP WITH THIS ASAP PLEASEEEE :(
Answer:
[tex]\sqrt{1}[/tex]
Step-by-step explanation:
Anything to the zeroth power becomes 1, and anything to the negative power can be turned into the root of it. For example, 1 to the -2 power = [tex]\sqrt{1\\}[/tex]
Hope this helps!!
Please mark me Brainliest
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Find the value of x:
77.5% of x is 49
77.5/100=49/x
77.5x= 4900
x= 4900/77.5
x= 63.22 (two decimal places)
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