Answer:
arc ACD = 120°
Step-by-step explanation:
Angle ACD = 120°
From cyclic quadrilaterals, opposite angles are supplementary.
angle ABD + angle ACD = 180
120 + ACD = 180
ACD = 60
Let the centre be point O.
Then arc ACD is the same as the angle AOD
From chord properties,
angle ABD = angle AOD /2
or
AOD = 2 * ABD = 2*60 = 120°
help me with this too!
A microbiologist during a study on a culture of 250 bacteria noticed that he can model the number of bacteria after t number of days by
the equation B = 250 x 4^t In this equation what does 4^t represent?
A The number of bacteria increases by t after 4 days
B. The number of bacteria increases by a factor of teach day for 5 days.
C. The number of bacteria increases by a factor of 4 each day
D. The number of bacteria increases by 4 each day
i need help please!!
From the given equation, [tex]4^{t}[/tex] represent the number of bacteria increases by a factor of 4 each day.
What is an equation?An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
A microbiologist during a study on a culture of 250 bacteria noticed that he can model the number of bacteria after t number of days by the equation
[tex]B = 250 \times[/tex] [tex]4^{t}[/tex]
t stands for training days(Add one to the power of 4 every day)
Every day is four time more than the day before.
So, the number of bacteria increases by a factor of 4 each day.
So, this answer is Option C.
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The yearbook staff receive 75 submissions for yearbook articles. Paul will accept 2/5 of all submissions. Currently, Paul plans for the yearbook to have 156 pages.
Answer 813.8
Step-by-step explanation:
Well 813.8 is the answer. Why? Lets talk it out if there are 75 submissions and it says Paul will accept 2/5 of the submissions so we have to do is 75- 2/5 will be 74.6 and multiply by 13 because 13 pages is in a article so we got 969.8 and then minus 156 because it asking us how many "more" pages they need so 813.8 is the answer if you subtract 969.8 and 156.
If the can is full of paint with a radius of 5 and height of 14 inches, what is the total amount of paint in the can?
Answer:
1,099 cubic inch or 18.01 liter
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Radius (r) = 5 inches
Height (h) = 14 inches
So, Volume of can = π[tex]r^{2}[/tex]h
By putting the value in the formula, we get
= π [tex]5^{2}[/tex] × 14
= π 25 × 14
= 350π
= 350 × 3.14
= 1,099 cubic inch
As 1 liter = 61.02 cubic inch
So, 1,099 ÷ 61.02 = 18.01 liter
Heres another simple question!
The ordered pairs (t,36),(5,45) represent a proportional relationship. Find the value of t.
possibilities : 4,5,9,40
Answer:
4? ..... t = 4
5 × 9 = 45
4 × 9 = 36
16. The area of a rectangle is represented by x^2 + 12x+ 20. What is the missing side length of the rectangle?
Answer:
x = 1.43
Step-by-step explanation:
14x = 20
x = 20/14
x = 14.3
Answer:
Length = x + 2
Width = x +10
Step-by-step explanation:
[tex]Area = Length \times Width[/tex]
[tex]x^2 + 12x +20 = Length \times width\\\\x^2 + 2x + 10x + 20 = Length \times width\\\\x(x+2)+10(x+2) = Length \times width\\\\(x+2)(x+10) =Length \times width\\[/tex]
Length = x + 2
Width = x +10
Image attached down bellow
Answer:
d
Step-by-step explanation:
Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a radius of 12 feet and a height of 15 feet. Container B has a
radius of 8 feet and a height of 17 feet. Container A is full of water and the water is
pumped into Container B until Containter B is completely full.
To the nearest tenth, what is the percent of Container A that is full after the pumping
is complete?
play
play
A
Container B
Answer:
49.6% of container A is still full
Step-by-step explanation:
volume of a cylinder : pi×r²×h
Va = pi × 12² × 15 = pi×144×15 = 6785.84013... ft³
Vb = pi × 8² × 17 = pi×64×17 = 3418.05281... ft³
how much of A is still filled, when B has been completely filled ?
Va left = Va - Vb = 3367.78732... ft³
100% of Va = 6785.84013... ft³
1% of Va = 67.8584013... ft³
so, how often does 1% of Va fit into the remaining filing volume of A (Va left) ?
3367.78732... / 67.8584013... = 49.6(2962963...)%
these prisms are similar. find the volume of the larger prism in decimal form. a=5 v=300 a=6 v=[?]
Answer:
Step-by-step explanation:
When we divide congruent sides of similar solids or plane figures we get the linear scale factor.
The square of the linear scale factor gives the area scale factor while it's cube gives the volume scale factor.
In this question, the linear scale factor will be 6/5
since we are asked to find the volume we cube the linear scale factor.
(6/5)³=216/125
to get the volume of the larger prism we multiply the volume of the smaller by the V.S.L as shown
(216/125)×300in³= 518.4in³
Answer:
the answer is 518.4
Step-by-step explanation:
if was correct on acellus
Need Help NO LINKS please
Special Right Triangles (Radical Answers)
Answer:
x = [tex]2\sqrt{2}[/tex] (or [tex]\frac{2\sqrt{2} }{1}[/tex] if it needs to be represented as a rational denominator)
Step-by-step explanation:
We know that;
1.) This triangle is equilateral, and because of the line segment it's divided into 2 right triangles.
2.) The base of the whole triangle would be 4, and the base of the right triangle would be 2, since the base is cut in half with a mid point.
Therefore we can say;
A² + B² = C²
x² + 2² = 4²
x² + 4 = 16
x² = 16 - 4
x² = 8
x = [tex]\sqrt{8}[/tex]
Simplifying this further would be;
[tex]\sqrt{8}[/tex] = [tex]\sqrt{4} * \sqrt{2}[/tex]
[tex]\sqrt{8}[/tex] = [tex]2\sqrt{2}[/tex] (or [tex]\frac{2\sqrt{2} }{1}[/tex] if it needs to be represented as a rational denominator)
Hope this helps!
At Dunkin Donuts the corn muffins they make represent 40% of the total muffins they bake everyday. On Monday they make 20 corn muffins. How many total muffins did they bake?
Answer:
50 muffins
Step-by-step explanation:
20 : 40%
y : 100%
[tex]\frac{20}{y} :\frac{40}{100}[/tex]
y · 40 = 20 · 100
40y = 2000
40y ÷ 40 = 2000 ÷ 40
y = 50
Answer:
50
Step-by-step explanation:
first you must find out how many muffins are in 1%, that will be .5 muffins which also meens that every 2% there will be 1 muffin. so we do 100 dived by 2 and you will get 50 which is the amount of muffins that will be made
Which equation shows a line with the
slope of 5 that passes through point (2, -3)?
Answer:
y = 5x - 13
Step-by-step explanation:
point slope form: y - y1 = m (x - x1)
plug in: y1 = -3, x1 = 2, m = 5
y - (-3) = 5 (x - 2)
y + 3 = 5x - 10 <- simplify and expand
y = 5x - 13 <answer for slope intercept
equation: y = 5x - 13
I'm not sure what equation type you would like as well as your possible answer choices, but I hope this helps!
Can someone please help
Answer:
3) The value of k is 8. 5) The slope of the line y=-17x+47/3 is -17.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(k-5)/(2-1)
m=(k-5)/1
m=k-5
k-5=3
k=3+5
k=8
----------------------
5) y=mx+b where m=slope and b=y-intercept.
Somebody please explain this to me and help me!!!
Answer:
This question is so complex
Step-by-step explanation:
kfdsjbdsnmvn sdbvjhsbadjvm dashbnvdjnzcxshjd
Answer:
1) 3,3
2) 4,5
3) 6,1
4) 1/36
There are 36 possible outcomes when you roll a dice. Rolling two 3s is only one of the possible outcomes. Therefore, the fraction 1/36 can represent this probability.
hey you guys its your favorite gal, hopin in to ask a couple more questions for the better in me (im honestly just asking for points and for answers, thanks for being loyal as always )
Select the correct answer.
Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second?
A.
15 + d = 100
B.
100 + d = 15
C.
d × 15 = 100
D.
d × 100 = 15
Answer:
c
Step-by-step explanation:
We are dividind how 100 can fit in 15 seconds
which is 100 /15
therefore when C when u tak it to the other side it divides 100 in 15
d×15=100
d=100/15
Divide: 6 ÷ 1/2=12
To verify the answer with a model, you could show ? circles.
Each circle would be divided into ? equal parts.
? parts would be shaded.
Answer:
1=6
2=2
3=12
edge 2021 the 1st girl was right for the 2nd one but the rest was wrong..
Step-by-step explanation:
Answer:To verify the answer with a model, you could show
✔ 6
circles.
Each circle would be divided into
✔ 2
equal parts.
✔ 12
parts would be shaded.
Step-by-step explanation:am nice trust,
sam purchased 5 raffle tickets a total of 120 raffle tickets were sold what is the probability that one of sams tickets will be the winner
Answer:
1/24
Step-by-step explanation:
5/120 which simplifies to: 1/24
Indira buys 1250 square metres of land to build a hotel. Each square metre of land costs $12. Calculate the cost of the land. Answer(a) $ [1] (b) The cost of the land is 3% of the cost of the hotel. Calculate the cost of the hotel
Answer:
500000
Step-by-step explanation:
yeah boi
Which of the sequences is
an arithmetic sequence?
• A. 1, 6, 12, 18, 24, .
• B. -2, 6, -10, 14, -18, ...
) C. -2, -8, -14, -20, -26, ...
O D. -48, -24, -12, -6,-3, ...
Answer:
d
Step-by-step explanation:
What is an equation of the line that passes through the points (6, -3)and (−6,−5)?
Answer:
y = 1/6x -4
Step-by-step explanation:
First find the slope
m= ( y2-y1)/(x2-x1)
m=(-5 - -3)/( -6 -6)
= (-5+3)/ (-6-6)
= -2/-12
= 1/6
The slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 1/6 x +b
Substitute a point into the equation
-5 = 1/6(-6) +b
-5 = -1+b
Add 1 to each side
-4 = b
y = 1/6x -4
Answer:
y=1/6x-4
Step-by-step explanation:
An oil tank in the shape of a cylinder has a diameter of 40 feet and a height of 32 feet. Which expression can be used to find the volume of the oil tank? Recall the formula V = pi r squared h.
Answer:
40217.6 cubic feet
Step-by-step explanation:
Given data
Diameter= 40feet
Radius= 20feet
Height=32feet
The expression for the volume is given as
V= πr^2h
Substitute
V= 3.142*20^2*32
V= 3.142*400*32
V=40217.6 cubic feet
Hence the volume of the tank is 40217.6 cubic feet
What is the slope of the line
Answer:
I believe the slope would be -2
Step-by-step explanation:
The line goes down 2 boxes and over 1 box before it intersects with another point. Knowing slope = [tex]\frac{rise}{run}[/tex], we know that slope = [tex]\frac{-2}{1}[/tex] which is equal to -2.
Please help <3...........
Answer:
C
Step-by-step explanation:
4 squares and each square has 2 slots out of 3 filled in
4×2/3
I need to post a question
Yes, you can post it and I'll try to answer
The histogram shows the results of a survey asking students how many windows are in their homes. How many students have less than 10 windows in their homes. Enter your answer in the box. Help ASAP I will mark brainlest
Answer:
10
Step-by-step explanation: can u tell me if am right
Anna truncated the decimal expansion of x to find the best approximation. On a number line, the location of x is between 10.9 and 11.1. What is the BEST estimate of the value of x? A) 115 B) 118 C) 120 D) 125
Answer:
probably √125
Step-by-step explanation:
so x is between 10.9 and 11.1
What i did was added those to together and then divided them by 2 so that i could find the average between them:
10.9 + 11.1 = 22
22/2=11
so you have 11 as your average.
now what i did was find the value of each answer choice to see which one was closest to 11 and the square root of 125 is just that.
The best approximation of decimals 10.9 and 11.1 is 11.
What is a number line?In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
Given that, location of x in number line
x = 10.9 and x = 11.1
Now, to estimate the value we will round up both digits and find the average.
In 10.9 round up to 11 and 11.1 will round down to 11
Now average = (11 +11)/2 = 11
Therefore, the best approximation of decimals 10.9 and 11.1 is 11.
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Identify the horizontal asymptote of each graph
Answer:
Step-by-step explanation:
Your checkmarks are in the right places. So the answers are correct that you have chosen.
Answer:
y=0 y=-3
Step-by-step explanation:
Just trust me ;)
What is the volume, in cubic meters, of a rectangular prism with a height of 14
meters, a width of 12 meters, and a length of 2 meters?
Answer:
336 m³
Step-by-step explanation:
You just have to multiply the height × width × lenght:
12×14×2=336
help quick, please !!!
Let the third side be x
using Pythagoras theoram
x²+4²=7²
x²= 49-16
x²= 33
x=√33
Brian sent 9 more messages than salma and Chang sent 2 times more than Brian and they have 55 messages total how many messages do they have each
Answer:
See explanation
Step-by-step explanation:
Let
x = number of messages Salma sent
x + 9 = number of messages Brian sent
2(x + 9) = number of messages Chang sent
Total messages sent = 55
x + (x + 9) + 2(x + 9) = 55
x + x + 9 + 2x + 18 = 55
4x + 27 = 55
4x = 55 - 27
4x = 28
x = 28/4
x = 7
Number of messages Salma sent = x = 7 messages
Number of messages Brian sent = x + 9
= 7 + 9
= 16 messages
Number of messages Chang sent = 2(x + 9)
= 2(7 + 9)
= 2(16)
= 32 messages