Answer:
Step-by-step explanation:
Maggie made the following quilt from 64 square pieces of fabric, what is the side length of each square piece
A drop of oil makes a circular ring in a water puddle. The radius of the oil ring expands at 1.5 cm per second. If r(t)=1.5t and a(r)=лr^2, what composition of function describes the area of the oil ring in terms of time?
Answer:
[tex]a(t) =n(0.25t^2)[/tex]
Step-by-step explanation:
Given
[tex]r(t) = 0.5t[/tex]
[tex]a(r) = nr^2[/tex]
Required
Determine the area in terms of time
From the question, we have:
[tex]r(t) = 0.5t[/tex] -> radius per time
and
[tex]a(r) = nr^2[/tex] --> area from radius
The interpretation of the question is to find the composite function: a(t)
If [tex]a(r) = nr^2[/tex], and [tex]r(t) = 0.5t[/tex], the
Substitute 0.5t for r
[tex]a(t) =n(0.5t)^2[/tex]
[tex]a(t) =n*0.25t^2[/tex]
[tex]a(t) =n(0.25t^2)[/tex]
differences and similarities between obtuse angle and right angles
9) A 5 inch by 7 inch picture has a frame surrounding
it on all four sides of width w. The total area of the
picture frame and picture is 80 square inches.
a) Using the diagram and information, write an
expression for the total length, including the
frame, and with an expression for the total
width, including the frame.
Length expression:
Width expression:
b) Using the expressions for total length and width, write an equation for the total
area of the rectangular picture and frame (Hint: Area = l × w).
c) Using your knowledge of factoring, solve the equation from (b) for the width of
the frame surrounding the picture.
Answer:
w = 3/2
Step-by-step explanation:
Area of a Rectangle
The 5-inch by 7-inch picture has a frame of width w surrounding all four sides.
a)
The total length of the framed picture is 7 + 2w
The total width of the framed picture is 5 + 2w
b)
The total area of the framed picture is:
At = (7 + 2w)(5 + 2w)
c) We know the total area is 80 square inches, thus:
(7 + 2w)(5 + 2w) = 80
Operating:
[tex]35 + 14w + 10w + 4w^2=80[/tex]
Simplifying:
[tex]4w^2 + 24w -45 =0[/tex]
We now write:
[tex]4w^2 + 30w - 6w -45 =0[/tex]
Factor out 2w from the first two terms and -3 from the last two terms:
[tex]2w(2w + 15) - 3(2w + 15) =0[/tex]
Factor out 2w+15
(2w + 15)(2w - 3)=0
The solutions are:
w = -15/2
w = 3/2
The only feasible solution is the positive value, thus
w = 3/2
During National Recycling Month, Mr. Yardley's class spent 4 weeks collecting empty cans
to recycle. During Week 2, the class collected 1,256 more cans than they did during
Week. Find the total number of cans Mr. Yardley's class collected in 4 weeks.
Answer:
don't know but hope you have a good new year
Answer:
- or +
Step-by-step explanation:
i don't know
add on number line10 +(-3)
Median,mode,mean of 1,4,6,7,2,3,8,2,3,57,7,3,1
Answer:
Median: 3.5 Mode: 3, 7 Mean: 4.2
Step-by-step explanation:
hope this helps :)
Write an question to represent:
one less than the quotient of four and a number x
Answer:
4/x-1
Step-by-step explanation:
so divide by x
so 4/x
less 1
4/x-1
tangles)
What is the missing term?
-1
?
-3
5x 25x2 | 15x
5x
+3
Write the phase as an expression. Then evaluate x=5. The sun of number x and 4, all divided by 3
Help Plz Special Right Triangles Help!!!!
Answer:
c
Step-by-step explanation:
in upper triangle:
Tan60=p/b
√3=a/6
∴a=6√3
again, sin60=p/h
√3 /2=6√3 /b
∴b=12
now, taking down triangle:
cos45=h/b
1/√2 =12/c
∴c=6√2
Betty and Sally are 28 miles apart on a path when they start moving toward each other. Betty runs at a constant speed of 6 miles per hour, and Sally walks at a constant speed of 2 miles per hour. How long does it take until they meet?
Answer:
3.5 hours
Step-by-step explanation:
if you multiply 6 and 2 by 3.5, then add them you get 28
Please help I need this answer soon
Kiara buys a meal from a food truck that costs $12. There is an additional 8.5% tax added to her total. If she pays for the meal with a $20 bill, then which of the following represents the
change she is due?
1) $5.74
2) $6.02
3) $6.52
4) $6.98
Answer:
Your answer is Option 4) $6.98
Step-by-step explanation:
let's see
kiran buys a meal that costs= $12
an additional amount has been added = 8.5%
= $12+8.5%= $13.02 or $13.2
so $13.2 - $20= $6.98
hope it helps please do give me brainliest :D
What fractions are equivalent to terminating decimals?
Option B since -7/15 equals -0.4666...
Hope it helps!
⚠️A machine used 48% of its oil. What fraction of its oil did the machine
use?⚠️
Need answer ASAP please and thank you
Answer:
12/25
Step-by-step explanation:
48/100 simplifies to 24/50. 24/50 simplififes to 12/25.
Simplify (x - 4)(3x^2- 6x + 2).
Answer:
3x³ - 18x² + 26x - 8
Step-by-step explanation:
(x - 4)(3x²- 6x + 2) =
= x*3x² + x*(- 6x) + x*2 + (-4)*3x² + (-4)*(-6x) + (-4)*2
= 3x³ - 6x² + 2x - 12x² + 24x - 8
= 3x³ - 18x² + 26x - 8
From a cylinder of height of 24cm and base diameter 14cm, a cone having equal radius and height is hollowed out. Find the volume of the remaining solid of the cylinder.
Answer:
2463 cm^3
Step-by-step explanation:
Given that a cylinder of height of 24cm and base diameter 14cm, a cone having equal radius and height is hollowed out. Find the volume of the remaining solid of the cylinder.
Let first calculate the volume of the cylinder
V = πr^2h
Where the radius = 7 cm
V = π × 7^2 × 24
V = 3694.5 cm^3
Let's calculate the volume of a cone
V = 1/3πr^2h
V = 1/3 × π × 7^2 × 24
V = 1/3 × 3694.5
V = 1231.5 cm^3
To Find the volume of the remaining solid of the cylinder, minus the volume of a cone from the volume of a cylinder
Remaining volume V = 3694.5 - 1231.5
V = 2462.99 cm^3
V = 2463 cm^3 approximately
please help asap no trolls!
Answer:
Yes
Using SAS congruent property
Step-by-step explanation:
During a certain24 -hour period, the temperature at time t (measured in hours from the start of the period) was T(t)=50+6t-1/3t^2
degrees. What was the average temperature during that period?
Answer:
The value of average temperature during that period=[tex]58^{\circ}[/tex]
Step-by-step explanation:
We are given that
Temperature at time t is given by
[tex]T(t)=50+6t-\frac{1}{3}t^2[/tex]
We have to find the average temperature during a certain 24-hour period.
We know that
Average value of function
[tex]f_{av}=\frac{1}{b-a}\int_{a}^{b}f(x)dx[/tex]
Using the formula
Average temperature during the period
[tex]=\frac{1}{24-0}\int_{0}^{24}(50+6t-\frac{1}{3}t^2)dt[/tex]
[tex]=\frac{1}{24}[50t+3t^2-\frac{1}{9}t^3]^{24}_{0}[/tex]
[tex]=\frac{1}{24}(50\times 24+3(24)^2-\frac{1}{9}(24)^3)[/tex]
[tex]=58^{\circ}[/tex]
Hence, the value of average temperature during that period=[tex]58^{\circ}[/tex]
IF YOU HELP ILL GIVE 100 POINTS AND BRAINLIEST! PLEASE HELP!!Which expression is equivalent to 4(23)?
4(2+13)
4(20+30)
4(2+3)
4(20+3)
Answer:
4(20+3)
Step-by-step explanation:
4(2+13) = 4(15)
4(20+30) = 4(50)
4(2+3) = 4(5)
4(20+3) = 4(23)
Therefore, 4(20+3) is the answer since it's equivalent to 4(23).
Answer:
............................................4(20+3)
find the value of X in the triangle
Two sides of the triangle are the same length, so the two angles of the long side are identical.
The three inside angles total 180, so the sum of the 2 identical angles would equal: 180-70 = 110
x is one of those angles. X = 110/2 = 55 degrees.
X = 55
(6-8)(9-10)-(4+2)(6+3)
Simplify the expression.
− 52
Answer:
Solution in photo
Step-by-step explanation:
pls help asap no trolls!
Answer:
HI
Step-by-step explanation:
In a triangle, the length size of each side corresponds to the size of the degree of the angle opposite it.
This means, the biggest angle would be opposite the side with the longest length, while the angle with the least degree will be opposite the side that is the smallest.
In ∆HIJ, the least angle measure is <J (54°).
Side length opposite to <J is HI.
Therefore the smallest side of ∆HIJ is HI
HELP ME IF YOU KNOW ;((
Answer:
1.5
Step-by-step explanation:
Your answer is 1.5 have a good day
Help, BRAINLIEST to CORRECT answer!
Potential energy is the energy of motion.
Group of answer choices
True
False
Answer:
False
Step-by-step explanation:
Energy stored in an object is potential energy but energy in motion is kinetic energy
Select all polynomials that have (x – 2) as a factor.
Choose all answers that apply:
A(x) = x^3 + x^2 + 4
B(x) = x^3 – x– 6
C(x) = x^4- 3x - 10
D(x) = x^4 – 2x^3 – 2
Answer:
only b
Step-by-step explanation:
2 Cassie has a family photograph that measures 5-inches wide and 7-inches long. She wants to enlarge the photograph and hang it on the wall. If the length of the enlarged photograph is 87.5 inches, what is the width of the enlarged photograph?
Answer:
62.5 inches
Step-by-step explanation:
We would solve this using ratio
Width : Length = Width/Length
For the Original photo
5 inches : 7 inches = 5/7
For the enlarged phots
x : 87.5 inches = x/87.5
Equating both ratios together, we have:
5/7 = x /87.5
Cross Multiply
7x = 5 × 87.5
7x = 437.5
x = 437.5/7
x = 62.5 inches
Hence, the width of the enlarged photo is 62.5 inches
The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) You watch a roulette wheel spin 7 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin
Answer:
9 / 19
Step-by-step explanation:
Given that:
Number of slots on roulette wheel = 38
Number of red on wheel = 18
Number of black on wheel = 18
Number of green = 2
The probability that ball will land on red slot :
Recall: probability of event (A) = P(A)
P(A) = (number of required outcome / number of total possible outcomes)
Hence,
P(ball lands on red) = (Number of red slots / total number of slots)
P(ball lands on red) = 18 / 38
P(ball lands on red) = 9/ 19
5-x=3
Work out the value of 3x^2
Answer:
12
Step-by-step explanation:
[tex]5 - x = 3 \\ \\ 5 - 3 = x \\ \\ 2 = x \\ \\ x = 2 \\ \\ 3 {x}^{2} = 3 {(2)}^{2} = 3 \times 4 = 12[/tex]
can some one plz help me with this sienice qustion (will give brainlest)
Answer:
A
Step-by-step explanation:
Sabrina has 54 ballon to arrange in bunches. She want to put the same numberof ballon on each bunch .list all the different ways can sabrina arrange the ballon
Answer:
54 groups of 1, 27 groups of 2, 18 groups of 3, 9 groups of 6, and repeat vice versa (6 groups of 9, etc).
Step-by-step explanation:
Total number of ways are 8 to arrange the balloon,
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,
Given that,
Total number of balloon Sabrina has = 54,
The number of ways Sabrina can arrange the balloon are:
1 group of 54 balloons,
2 groups of 27 balloons,
3 groups of 18 balloons,
6 groups of 9 balloons,
9 groups of 6 balloons,
18 groups of 3 balloons,
27 groups of 2 balloons,
54 groups of 1 balloon,
There are total 8 different ways Sabrina can arrange the balloons.
To know more about Permutation and Combination on:
https://brainly.com/question/13387529
#SPJ2