Answer:
30cm x 72 cm
Step-by-step explanation:
The perimeter is the measurements of all sides added together. Let's start by dividing the perimeter by 2, so we have the sum of the length and width. This gives us 102cm. Let's call the width x, and the length y. We know y is x times 2 plus 12. (2x + 12) So, we know [x + y = x + (2x + 12)]. So let's solve.
x + y = x + (2x + 12)
102 = x + (2x + 12)
102 = 3x + 12
102 - 12 = 3x + 12 - 12
90 = 3x
90/3 = 3x/3
30 = x
The width is 30cm.
pls help me on this i don't know what to do
Answer:
A.
Step-by-step explanation:
Factor out x^2-3x-40. Know that the zeroes of a function multiply to be equal to the constant (-40) and add up to the coefficient of the x term (-3). The two numbers that do that are -5 and 8. Recall that to be zeroes, at least one of the x-values must make the equation equal 0. So if x=-5, (x+5) is the term that would be 0.
You could also multiply the factored forms that are given to find the correct one.
**PLEASE HELP**
Given: f(x) = 3x - 5, and g(x) = x² - 4x, find g(f(3))
Answer and Step-by-step explanation:
Plug 3 in for f(x), then plug the result of f(x) into g(x).
f(3) = 3(3) - 5
f(3) = 9 - 5
f(3) = 4
g(4) = [tex](4)^2 - 4(4)[/tex]
g(4) = 16 - 16
g(4) = 0
So, g(f(3)) = 0
#teamtrees #PAW (Plant And Water)
Answer:
0 is the final answer
Step-by-step explanation:
Substitute given values for x accordingly
Whats the measure of
Answer:
C. 80°
Step-by-step explanation:
Recall: SOH CAH TOA
Reference Angle = J
Opposite = 60
Adjacent = 11
Hypotenuse = 61
Apply trigonometric function, SOH, which is:
Sin J = Opp/Hyp
Sin J = 60/61
[tex] J = sin^{-}(\frac{60}{61}) [/tex]
J = 79.6111422°
J = 80° (nearest degree)
Find the balance in an account at the end of 12 years if $4000 is invested at an interest rate of 9% that is compounded continuously
Answer:
7250.66
Step-by-step explanation:
Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating.
20% tip on a bill of $945.41
Answer: 189.082
189.082 is 20% of 945.41
Step-by-step explanation:
What is 20% of 945.41?
Y is 20% of 945.41
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 20% * 945.41
Converting percent to decimal:
p = 20%/100 = 0.2
Y = 0.2 * 945.41
Y = 189.082
What is the inequality for this verbal description?
The value of y is greater than or equal to the sum of five times the value of x
and negative three.
Answer:
y >= 5x - 3
Step-by-step explanation:
since the verbal description mentions "sum", we need to have at least two things to add together.
for this reason we cannot misinterpret the -3 as an element to be included in the "5 times" term, because otherwise we would not have a second thing to build a sum.
My little sister need help!
Which equaiton reprsents a line that passes through the two points in the table? A.y+1=5/4(x+1) B.y+6=4/5(x+5) C.y-6=4/5(x-5) D.y-1=5/4(x-1)
Answer:
C
Step-by-step explanation:
It’s c
The expression 6 x 2gives the surface area of a cube, and the expression x 3gives the volume of a cube, where x is the length of one side of the cube. Find the surface area and the volume of a cube with a side length of 2 meters
Answer Expert Verified
3.1/5
18
Surface of a cube=S(x)
S(x)=6x²
S(2 m)=6(2 m)²=6(4 m²)=24 m²
The surface of this cube is 24 m².
Volume of a cube=V(x)
V(x)=x³
V(2 m)=(2 m)³=8 m³
Answer:
18
Step-by-step explanation:
hank is studying a population of bacteria and notices that the bacteria population increases by 5% each hour. the function that represents that populations of bacteria has a constant percent of change. true or false
Answer:
True
Step-by-step explanation:
The population always grows by 5%, even though more bacteria are added with each hour. Each hour, due to exponential growth, the population size rises by 5%.
Tell me what is wrong with this.
_____
/ \
| |
|______|
| | | |
| | | |
Answer:
among us lm*o na everything
Step-by-step explanation:
A hot air balloon holds 4,328 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? (5 points)
Question 7 options:
1)
3,747.9 kg
2)
3,875.3 kg
3)
772.5 kg
4)
4,383.2 kg
Answer: 3) 772.5 kg
Step-by-step explanation: That's what I got and I'm 100% sure that's the answer
Answer:
The answer 772.5
Step-by-step explanation:
You would use the density formula to figure out the mass.
Density = mass/volume
We have the density of helium (0.1785) and the volume of how much the hot air balloon can hold (4,328).
0.1785 = x / 4,318
0.1785 * 4,318 = x
772.548 = x
Then rounded to the nearest tenth would be 772.5, the third option.
x/6 + 12 = 6
Please help me
Answer:
[tex]x=-36[/tex]
Step-by-step explanation:
[tex]\frac{x}{6} +12=6[/tex]
[tex]\frac{-36}{6} +12=6[/tex]
[tex]-6+12=6[/tex]
Hence, x = -36
Answer:
X = -36
Step-by-step explanation:
x/6 + 12 = 6
-12 = -12
x/6 = -6
(6) = (6)
x = -36
What’s the value of this expression?
Answer:
ans is 0
Step-by-step explanation:
(3/5)0×-2
(3/5)^0
so the answer Is 0
7. Find the volume of space consumed by the toilet paper without the center cylinder.
4cm
SHOW YOUR WORK!
*
14cm
12 cm
I
Volume
Answer:
7. 1583.36 cm³
8. 13,627.18 m³
Step-by-step explanation:
Volume of space consumed by the paper = volume of outer cylinder - volume of center cylinder
✔️Volume of Outer Cylinder:
Volume = πr²h
r = ½(12) = 6 cm
h = 14 cm
Volume = π*6²*14
Volume = 1583.36 cm³
✔️Volume of center cylinder:
Volume = πr²h
r = ½(4) = 2 cm
h = 14 cm
Volume = π*2²*14
Volume = 175.93 cm³
✅Volume of space of the toilet paper = 1583.36 - 175.93 = 1583.36 cm³
8. Volume of the solid = volume of the cone + volume of the cylinder
✔️Volume of the cone = ⅓πr²h:
r = 13 m
h = 14 m
V = ⅓*π*13²*14
V = 2,477.67 m³
✔️Volume of the cylinder = πr²h
r = 13 m
h = 21 m
V = π*13²*21
V = 11,149.51 m³
✅Volume of the solid = 2,477.67 + 11,149.51 = 13,627.18 m³
Which could be the graph of f(x) = |x -h| + k if h and k are both positive?
Step-by-step explanation:
The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down). Answer: correct choice is A.
Answer:
A
Step-by-step explanation:
Just did it
help me with my last question for 30 to 100 points if correct
Answer
Ok i will help
Step-by-step explanation:
Yay!
A king rules a small mountain kingdom which is in the form of a square of length 4 kilometers. The square is described by the coordinate system0≤≤4,0≤≤4. The king has four adult children, each of which has a luxury palace located at the points (1,1),(3,1),(1,3),(3,3). Each child owns all the land that is nearer their palace than any other palace.
Sketch a Voronoi diagram to represent this information.
Answer:
i can not get the answer
B.) What fraction of the cost is spent on food and entertainment? Food- 17%. Entertainment- 24 they have 3000 for vacation
Answer:
Amount spent on food = 510
Amount spent on entertainment = 720
Step-by-step explanation:
They have 3000 for vacation.
Amount spent on food = 17% of 3000
or 17/100*3000
17*30= 510
Amount spent on entertainment = 24% of 3000
or 24/100*3000
24*30= 720
URGENT PLS!!
consider the system: 5x+3y = 12 , x-7y=10
using elimination method, what is the value of 38y?
Answer:
5x+3y=12
x-7y=10
first you want to make the x the same to 5 since you want to make the x = 0 so you can cancel out the x to find y
5x+3y=12
5x-35y=10
_________
38y = -38
y = -1
to find the x value substitute to any equations it can be the 1st or 2nd
5x+3(-1)=12
x = 3
Using the triangle diagram below in the rules for special right triangles, discover the four missing links and choose them from the available choices:
Answer:
The solution for the system of right triangles are, respectively: [tex]a = 2\sqrt{6}[/tex], [tex]b = 4\sqrt{3}[/tex], [tex]c = 4\sqrt{6}[/tex], [tex]d = 6\sqrt{2}[/tex]
Step-by-step explanation:
By Geometry, we get the following equivalencies:
[tex]a = 2\sqrt{6}[/tex] (45 - 45 - 90 Theorem)
[tex]b = \sqrt{2}\cdot (2\sqrt{6})[/tex] (45 - 45 - 90 Theorem)
[tex]b = 4\sqrt{3}[/tex]
[tex]c = \frac{2\sqrt{6}}{\frac{1}{2} }[/tex] (30 - 60 - 90 Theorem)
[tex]c = 4\sqrt{6}[/tex]
[tex]d = \frac{2\sqrt{6}}{\frac{\sqrt{3}}{3} }[/tex] (30 - 60 - 90 Theorem)
[tex]d = 6\sqrt{2}[/tex]
HELP ME PLAESE ASAPP
Pls help me with this
Answer:
12
Step-by-step explanation:
f(-7) = 5-(-7)=5+7=12
48 POINTS!! ANSWER QUICK AND ASAP PLEASE!! EVERYBODY IT'S A IMPORTANT TEST.
There are four sixth graders and seven seventh graders in Elsa's chess club. Two members of the club will be chosen at random to attend a tournament with several other chess clubs. Elsa is using simulation to determine the experimental probability of randomly selecting two sixth graders. So, she places four red discs (to represent the sixth graders) and seven blue discs (to represent the seventh graders) in a bag. She randomly selects one disc from the bag, records the color, keeps the disc out, selects another disc and records it, and then returns both discs to the bag. Elsa does this twenty-five times. Her results are shown in the table below.
b, b b, r b, r b, b r, b
b, r b, b b, r b, r r, b
r, b r, r b, r r, b b, r
b, b r, r b, r r, r r, b
b, b r, r b, b r, r b, r
Based on the results of Elsa's simulation, the experimental probability of randomly selecting two sixth graders is [ INSERT AN ANSWER HERE ]
the theoretical probability of randomly selecting two sixth graders.
A. equal to
B. greater than
C. less than
Answer:
A.equal to
Step-by-step explanation:
thats the answer correct me if you want
Social studies Geometry P.11 Similarity and altitudes in right triangles CEZ You have priz If SU = 28 and UV = 6, what is TU? T s V U Write your answer as a whole number or as a decimal rounded to the nearest hundredth. TU = Submit JUN E
Answer:
TU ≈ 12.96
Step-by-step explanation:
Using the Altitude on Hypotenuse theorem
(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)
TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )
TU = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )
Which of the following graphs represents the equation below?:y=−9x−2
Answer:
C
Step-by-step explanation:
y intercept of the graph is -2
-9x is a very steep gradient
a cylindrical container has a radius of 14 cm and I 20m high .it's curved surface is completely covered with a label . what is the area of the label in cm2 .take pie to be 22/7)
Answer:
The area of the label is 176,000 cm²
Step-by-step explanation:
The given parameters are;
The radius of the cylindrical container, r = 14 cm
The height of the cylinder, h = 20 m
The area covered with the label = The curved surface of the cylinder, A
The curved surface area of a cylinder, A = 2 × π × r × h
π = 22/7
∴ The curved surface area of the cylinder = A = 2 × 22/7 × 14 × 2000 = 176,000
A = 176,000 cm²
∴ The area of the label = The curved surface area of the cylinder = 176,000 cm².
The Tower of Pisa is well known worldwide for how it leans,
Sami visits the tower and wants to investigate how much it is leaning. He draws a diagram
showing a non-right triangle ABC.
On the diagram the angle ACB is 55º. The horizontal displacement of the tower BX = 5m.
The length of BC is 45m.
1) find the length of tower AB
Answer:
The tower is approximately 57.34 meters long
Step-by-step explanation:
The given parameters are;
The type of triangle formed by ΔABC = Non-right triangle
The measure of ∠ACB = 55°
The horizontal displacement of the tower, BX = 5 m
The length of BC = 45 m
Therefore, we have;
Triangle ΔABC type = Right triangle
By the tangent to an acute angle, θ, in a right triangle, we have;
[tex]Tan(\theta) = \dfrac{Opposite \, side \ length}{Adjacent\, side \ length}[/tex]
Where θ is the 55°, we have angle, we have;
[tex]Tan(55^{\circ}) = \dfrac{XA}{XC}[/tex]
BC = BX + XC
∴ XC = BC - BX
XC = 45 m - 5 m = 40 m
[tex]\therefore Tan(55^{\circ}) = \dfrac{XA}{40}[/tex]
XA = 40 × tan(55°) ≈ 57.126
The type of triangle formed by ΔABX = Right triangle
According to Pythagoras theorem, AB² = XA² + BX²
∴ AB = √((40 × tan(55°))² + 5²) ≈ 57.34
The length of the tower, AB ≈ 57.34 m
74 + -28 =[find the difference and put the sign of big number]
Answer:
It should be 74+(-28) as 2 signs can bit be put together.
74+(-28)
=74-28 (sign only changes when there is (minus) before it
=48
We are not putting a minius (-) as 74 is digger that 28 and it has plus (+) before it.
I HOPE IT HELPS
HAVE A GREAT DAY
[tex]#Liliflim✌[/tex]
need help with this problem
Answer:
2
Step-by-step explanation:
20%---4
20%---4
20%---4
15%---3
15%---3
10%---2
4-2=2
Answer:
2 scoops
Step-by-step explanation:
Hi there!
What the question tells us:
There were 20 sales in totalWe need to solve for the number of chocolate ice cream sales and the number of strawberry ice cream salesWe need to subtract: [# chocolate ice cream sales] - [# strawberry ice cream sales] = ?1) Determine the number of chocolate ice cream sales
The circle graph tells us that 20% of the scoops were for chocolate. To find the number of chocolate scoops, determine 20% of 20, which is the total number of scoops.
20 × 20%
Change 20% into a decimal
= 20 × 0.2
= 4
Therefore, the ice cream shop sold 4 scoops of chocolate ice cream.
2) Determine the number of strawberry ice cream sales
The circle graph also tells us that 10% of the scoops were for strawberry. To find the number of strawberry scoops, determine 10% of 20.
20 × 10%
Change 10% into a decimal
= 20 × 0.1
= 2
Therefore, the ice cream shop sold 2 scoops of strawberry ice cream.
3) How many more of these scoops were chocolate than strawberry?
[# chocolate ice cream sales] - [# strawberry ice cream sales] = ?
4 - 2 = ?
4 - 2 = 2
Therefore, 2 more of these scoops were chocolate than strawberry.
I hope this helps!
