Sue is upholstering a rectangular ottoman that measures 21 centimeters by 18 centimeters by 15 centimeters. What will be the total square centimeters of fabric that Sue must use to cover all faces of the ottoman?
Answer:
1926cm²
Step-by-step explanation:
Given
Dimension = 21cm by 18cn by 15cm
The illustration in this question is to determine the surface area of the fabric and this is calculated using the surface area of a cuboid as follows:
[tex]Surface\ Area =2(LB + LH + BH)[/tex]
Where L, B and H are the dimensions.
So,
[tex]Surface\ Area = 2(21 * 18 + 21 * 15 + 18 * 15)[/tex]
[tex]Surface\ Area = 2(378 + 315 + 270)[/tex]
[tex]Surface\ Area = 2(963)[/tex]
[tex]Surface\ Area = 2 * 963[/tex]
[tex]Surface\ Area = 1926cm\²[/tex]
Hence, 1926 cm² of fabrics are needed to cover all surfaces.
Find the temperature indicated on this thermometer.
Answer:
55 degrees
Step-by-step explanation:
always the middle of the thermometer is 15,25,35,45,55,65,75,85,95 etc.
I just need number 1
b is the awnser
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
There are 96 squares in total. Yard is 3 feet, so you would divide the total by 3.
Use the sliders to change the values of a, b, c, and d in the cosine function. Which equation has a maximum at (0, –1) and a minimum at ((StartFraction pi Over 3, negative 5)).
Answer:
If you have to do the sliders problem the answeres in order are, set a to -3, set b to 2 and keep c at 0.
Step-by-step explanation:
the correct answer is y=-3 sin(2x) and the equation from the sliders should match the answer.
y=-3 sin(2x) is the equation has a maximum at (0, –1) and a minimum at ( pi Over 3, negative 5)
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
We need to use the sliders to change the values of a, b, c, and d in the cosine function.
We need to find the equation which has maximum at (0, –1) and a minimum at (pi Over 3, negative 5)).
While doing slider problems we have to set the values as set a to -3, set b to 2 and keep c at 0.
y=-3 sin(2x) is the answer and the equation from the sliders should match the answer.
Hence y=-3 sin(2x) is the equation has a maximum at (0, –1) and a minimum at ( pi Over 3, negative 5)
To learn more on trigonometry click:
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HELP! ASAP!
Select all the expressions with a value of less than one.
Answer: all but the first one because anything to the power of 0 is one and -1 is lower than 1
Answer:
B, C, D, E
Step-by-step explanation:
5% of items in a large batch of items produced at a local foundry' are defective. If 50 of these items are selected at random, what is the probability that exactly 2 of the items will be defective? Round to four decimal places.
Answer:
0.2611
Step-by-step explanation:
We have x to be binomially distributed random variable which denotes the items number that are defective
We have been given n = 59 as our sample size
Probability of 5% = probability of success
1-5% = 0.95
We solve using this formula
nCxP^xq^n-x
= 50C2(0.05)²(0.95)^50-2
= 0.2611
This is the probability that exactly 2 would be defective
There is 1/3 of a pizza left to split between 3 of your friends. If you split the pizza equally what fraction of the pizza will each s get
Answer:
1/9
Step-by-step explanation:
RSTU is a parallelogram. Solve for x. Please help!
Write the slope-intercept form of the equation of the line.
slope = 0, y - int=1
Answer:
y= 1
Step-by-step explanation:
This is because there will be no increase or decrease of x since we have no slope to take us there so it will remain constant at the y value
Hope This Helps :)
Answer:
The answer is there. Look it up.
Step-by-step explanation:
solve 58×29 using a area model
Answer:
1,682
Step-by-step explanation:
Answer:
1,682
Step-by-step explanation:
In a circle, what is the ratio of the circumference to its diameter?
area
radius
volume
PI
Answer:
D. pi
Step-by-step explanation:
Circumference of a circle = [tex] \pi d [/tex]
Diameter = d
Therefore, ratio of circumference of a circle to its diameter would be:
[tex] \pi d : d [/tex]
[tex] = \frac{\pi d}{d} = \pi [/tex] => (d cancels d)
Therefore, the ratio of the circumference of a circle to its diameter is [tex] \pi [/tex]
Solve the equation for x do not include "x=" in your answer -2+/3x-2=6
Answer:
x=1=2y
Step-by-step explanation:
which integer represents each situation
deposit of $15
Answer: +15
Step-by-step explanation: A deposit of $15 is an increase,
which means that it's positive.
So it can be written as +15.
A transportation agency has one 38-seater bus and some 13-seater buses. They have enough seats to board no more than 417 passengers on
their buses. Which inequality represents the possible number of 18-seater buses they have.
Ov12
Answer:
24
Step-by-step explanation:
4. An isosceles triangle has sides that measure 7cm and 15cm. Find the third side of the
triangle, then find the perimeter.
Answer:
Third side is 15cm. Perimeter is 37cm.
Step-by-step explanation:
In a triangle sum of two sides is always greater than third side. Two sides of a isosceles triangle are equal.
So if the third side is 7cm
7+7=14cm which is less than 15 cm.
hence third side is 15 cm as
15+15=30cm which is greater than 7cm
15+7=22cm which is greater than 12cm
then
perimeter=15+7+15=37cm
2.x2-9x + 18
А. x-2
В. Х-3
С. x+2
D. x+ 3
Solve the
equation:
-22 + x = 11
Answer:
[tex]x=33[/tex]
Step-by-step explanation:
Add 22 to both sides of the equation.
[tex]x=11+22[/tex]
Add 11 and 22.
[tex]x=33[/tex]
Answer:
x=33
Step-by-step explanation
Regroup terms.
x−22=11
Add 22 to both sides.
x=11+22
Simplify 11+22 to 33
ANDDDD the answer isss
x=33
N+3(n-1) i need helpppp
Answer:
4n - 3
Step-by-step explanation:
N + 3 (n - 1)
N + 3n - 3
4n - 3 is the final answer
hope that helps :))
Devaughn is 7 years older than Sydney. The sum of their ages is 89. What is Sydney's age?
Answer: 82
Step-by-step explanation:
if you drink two 12 ounces soda a day, how much soda do you drink per week?
Answer:
168
Step-by-step explanation
12+12=24 so 24x7=168
Write the slope-intercept form of the equation of the line.
slope = -5, y - int = -3
Answer:
y= -5x-3
Step-by-step explanation: Hope this helped!!!
btw can i have brainliest?
What is the area of the right triangle below?
Answer: The answer is a 25 square units
Step-by-step explanation:
They were 64 dogs and cats at the pet store. If 25% were cats, how many cats were at the pet store?
Answer:
16 are cats
Step-by-step explanation:
64 x 25%
64 x .25
16
Answer:
there are 16
Step-by-step explanation:
beacuse 25% of 64 is 16 like duh
7. Write the slope-intercept form of the equation of the line.
slope = -5 , y - int = -1
Answer:
Y=-1/5x-1
Step-by-step explanation:
Combine the slope then the slope intercept.
What is −15 ÷ 3/5?
−25
−9
−19
−125
Answer:
-25, or a
Step-by-step explanation:
Beth deposited $ 4,000 in a collage fund earning 3.5 % simple interest.
what was the total interest earned at the end of 12 years.
Answer:
140 total interest
Step-by-step explanation:
I need help. Thanks in advance
Answer:
6u²−3uv²−4u⁴+5uv
Step-by-step explanation:
i had a test with this and got it right
If Pam has 30 dollars in her account, how much money does her brother have in his account if the total is $100? Use a tape diagram to support your answer.
A rectangular building with a square front is to be constructed of materials that costs 11 dollars per ft2 for the flat roof, 14 dollars per ft2 for the sides and the back, and 15 dollars per ft2 for the glass front. We will ignore the bottom of the building. If the volume of the building is 5,600 ft3, what dimensions will minimize the cost of materials? (Round your answers to the nearest hundreth such that the dimensions increase from the smallest to the largest.)
Answer:
y = 23.14 ft
x = 15.56 ft
so the dimensions of the building will be = 15.56 ft x 15.56 ft x 23.14 ft
Step-by-step explanation:
the area of the roof = xy
cost of the roof = 11xy
the area of the sides and back = 2xy + x²
cost of the sides and back = 14(2xy + x²) = 28xy + 14x²
area of the glass front = x²
cost of the glass front = 15x²
minimize:
total cost = 11xy + 28xy + 14x² + 15x² = 39xy + 29x²
total volume = x²y = 5600 ⇒ constraint
39y + 58x = 2λxy
39x = λx2
x²y = 5600
λx = 39 which we replace into the first equation
39y + 58x = 78y
58x = 39y
(58x)²y = 58² · 5600
now we replace 58x by 39y
(39y)²y = 58² · 5600
39² · y³ = 58² · 5600
y³ = (58² · 5600) / 39² = 12,385.53583
y = ∛12,385.53583 = 23.14 ft
x² = 5600/ 23.14 = 242.04
x = 15.56 ft
Each side of a square is increasing at a rate of 6 cmys. At what rate is the area of the square increasing when the area of the square is 16 cm2?
Answer:
k I think it is 16v cm 4
Step-by-step explanation: