Answer:
total surface area = 298.45105 m2
lateral surface area = 141.37155 m2
top surface area = 78.53975 m2
bottom surface area = 78.53975 m2
Step-by-step explanation:
Joanna will need approximately 298.3 square inches of frosting to cover the entire cake.
To calculate the amount of frosting Joanna will need for the entire cake, we first need to find the surface area of the cylindrical cake.
The formula for the surface area of a cylinder is given by:
Surface Area = 2πr² + 2πrh
Where r is the radius of the base and h is the height of the cylinder.
Given that the diameter of the cake is 10 inches, we can find the radius by dividing it by 2: r = 10/2 = 5 inches.
Plugging in the values, we have:
Surface Area = 2π(5)² + 2π(5)(4.5)
Simplifying the equation:
Surface Area = 2π(25) + 2π(22.5)
Surface Area = 50π + 45π
Surface Area = 95π
To find the actual numerical value, we can approximate π as 3.14:
Surface Area ≈ 95 * 3.14
Surface Area ≈ 298.3 square inches
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What is the shaded area of the figure?
Answer:
Step-by-step explanation:
The idea here is to find the area of the circle and then subtract from it the area of the triangle. That will give you the area of what's left in the circle (the shaded part). The area of a circle is:
[tex]A_c=\pi r^2[/tex] so
[tex]A_c=(3.14)(12.4)^2[/tex] where 12.4 is the radius.
[tex]A_c=482.81[/tex] rounded to the nearest tenth. I used 3.14 for pi.
Now for the area of the triangle. The formula is
[tex]A_t=\frac{1}{2}bh[/tex] where h is the height of 12.4 and the base is the diameter which is 12.4 * 2 = 24.8
[tex]A_t=\frac{1}{2}(24.8)(12.4)[/tex] so
[tex]A_t=153.76[/tex]
Now subtract the triangle's area from the circle's area:
482.81 - 153.76 = 329.05 mm²
Identifying linear pairs and vertical angles
Answer:
(a) <7 and <8
(b) <3 and <8
(c) <6 and <1
Step-by-step explanation:
There are multiple different answers for each of the questions but these are the ones I chose.
(a) A linear pair is two adjacent angles that intersect and form a straight or 180-degree angle. This means that the angles are supplementary. Since angles 7 and 8 make a straight line on line n, they must be a linear pair.
(b) Vertical angles are two angles opposite of each other that share a vertex. Angles 3 and 8 are opposite of each other, made of the same lines, and share a vertex. This makes them vertical angles and congruent.
(c) As aforementioned, vertical angles are congruent. So, any vertical angles listed could answer this question. For example, angles 6 and 1 are vertical angles, and therefore congruent.
PLS HELP. write as an expression. thank you:)
Answer:
[tex]x^{\frac{3}{2} } p^{6}[/tex]
Step-by-step explanation:
PLZ HELP ME I NEED TO GET THIS RIGHT 20 POINTS
1.) the table shows the weight in kilograms of 10 players on a college basketball team.
Weight (kg)
[54, 52, 65, 63, 62, 60, 58, 53, 51, 50]
Which statement is NOT true about this data?
A.) the median is one of the values listed in the table
B.) the mode of the data is 60
C.) the mean is less than the median
D.) the data set had no matter
2.) This table shows the amount of money in dollars that a group of seventh grade students spend on food each day.
Carol=2
Anna=3
Sophie=11
Tom=3
Jackie=1
Which measure of central tendency is most affected by the amount of money that Sophie spends?
A.) the median only
B.) the mean only
C.) the mode only
D.) the mean and the median
3.) This table shows the results of a survey that asked a group of people what time of day their favorite tv show aired.
5:00=3
6:00=5
7:00=10
8:00=21
9:00=25
10:00=15
11:00=12
What time corresponds to the mode of this set of data?
A.) 8:00 pm
B.) 9:00 pm
C.) 10:00 pm
D.) 11:00 pm
Answer:
A, B, B
Step-by-step explanation:
what is the y coordinate of the solution
Answer:
Y = -5
Step-by-step explanation:
2x - 3x+ 26 = 19
X = 7
Y = -5
4. Which expression is a simplified form of -5(8x)?
a. 40x
b. -40%
C. 3x
d. -40x?
Answer:
Option d
Step-by-step explanation:
-5(8x)
= -5×8×x
= -40x
Answered by GAUTHMATH
Your patient weighs 15 kg and is scheduled for to have an abdominal exploratory. You are instructed to provide 0.9% sodium chloride IV at a rate of 30ml/kg/hr. What will be the fluid rate be for your IV pump?
Answer:
[tex]V_f=450ml/hr[/tex]
Step-by-step explanation:
From the question we are told that:
Mass [tex]m=15kg[/tex]
Amount of NaCl IV [tex]n=0.9\%[/tex]
Rate [tex]R=30ml/kg/hr[/tex]
Generally the equation for fluid rate be for your IV pump is mathematically given by
[tex]V_f=mR[/tex]
Since
Rate is
30ml/kg/hr at 1kg patient Weight
Therefore
[tex]V_f=15*30[/tex]
[tex]V_f=450ml/hr[/tex]
What is the recursive rule for this geometric sequence? 7, 21, 63, 189,…
1. a1 = 7;an = 3 • an - 1
2. a1 = 7;an = 1/3 • an - 1
3. a1 = 3;an = 7 • an - 1
4. a1 = 21;an = 7 • an - 1
Answer:
The top choice is the answer. a1=7; an= 3*a_(n-1)
Step-by-step explanation:
Begin by finding out what the terms are multiplied by. It is a geometric sequence so multiplication is involved.
Take the 3rd term (63) and divide it by the second term.
63/21 = 3
What this means is that each term in the sequence is multiplied by 3 to get to the next term.
The first term is 7
So the answer is an = 3* a_n-1
The answer must be the top one. See if it works.
a2 = 3*a_(2 -1 )
a2 = 3 * a1
a2 = 3 * 7
a2 = 21 which it does.
16. Sandra is choosing an Internet service provider.
• Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used.
• Communication Plus costs $2.50 for every hour of Internet used.
a. Create an equation to represent the cost of using the internet with each company. (2 marks) Let C represent the cost of using internet in any month.
Let t represent the number of hours used.
Answer: See explanation
Step-by-step explanation:
Since Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used, the equation to represent the cost of using the internet with them will be:
C = 12 + 0.5t
Since Communication Plus costs $2.50 for every hour of Internet used, the equation to represent the cost of using the internet with them will be:
C = 2.5t
Find the area of the quadrilateral.
Answer:
12cm^2
Step-by-step explanation:
The first thing we want to do is find out what type of quadrilateral is shown so we can identify a formula we can use to solve for the area
The quadrilateral shown is a trapezoid
It's a trapezoid because it has four sides and one pair of parallel sides ( side AD and side BC are both formed vertically making them parallel as they can be extended an infinite length and will never intersect. ) This being the properties of a trapezoid
Now that we have identified the type of quadrilateral that the figure is, let's find the area.
Area of a trapezoid formula:
A = (a+b/2)h
Where a and b = bases and h = height
* Identify variable of quadrilateral shown*
( Note that each unit = 1cm )
The bases have lengths of 4 units (4cm) and 2 units (2cm)
The height can be represented by an imaginary line from a to c
From a to c is 4 units (4cm)
Now that we have identified the variables let's plug them into the formula
A = (a+b/2)h
a = 4
b = 2
h = 4
* Plug the variables into the formula *
A = (4+2)/(2)4
If you plug this into a calculator you get that the area is 12
If you need the work for evaluation here it is:
Evaluate using PEMDAS
Parenthesis
Exponents
Multiplication and Division ( left to right)
Addition and Subtraction ( left to right )
(4+2)/2 * 4
First step is to evaluate the operations inside of the parenthesis (4+2)
6/2 * 4
The next step is to evaluate exponents
There are no exponents so we move on to multiplication and division evaluate whatever come first going left to right
First comes division
3 * 4
Then multiplication
A = 12.
The area under the standard normal curve to the right of z = -0.51 is 0.6950. What is the area to the left of z = 0.51?
Answer:
0.305
Step-by-step explanation:
We are told that area under the standard normal curve to the right of z = -0.51 is 0.6950
Thus, to get the area to the left, we just subtract 0.6950 from 1.
Thus;
area to the left of z = 0.51 is;
P( z < 0.51) = 1 - 0.6950 = 0.305
What is the media and explain why.
Answer:
26
Step-by-step explanation:
Set N: 6, 7 , 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
The median of set N is 14
Since the median of Set N is the lowest number of set L, it would look like this
Set: L: 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38
The median of Set L is 26
I don’t know if this is enough but please help me
Answer:
1 A
2c
3B
4f
do not use the last one f(X)=x
Step-by-step explanation:
please help!!!! i need it in this instant!!!
Answer: 14
Step-by-step explanation:
If they hit the ball 4/8 times, that equals 1/2, so we just multiply 1/2 (or 0.5) by 28 and you get 14 :)
Pepe and Leo deposit money into their savings accounts at the end of each
month. The table shows the account balances.
If their patterns of saving continue, and neither earns interest nor withdraws
any of the money, how will the balances compare after a very long time?
Pepe's balance will be greater as it is increasing exponentially while Leo's is increasing linearly
(see graph, where red is Pepe and blue is Leo)
Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]
where a is a constant and a>1
We have:
Pepe and Leo deposit money into their savings accounts at the end of each month.
From the table, we can plot a graph on a coordinate plane.
As we can see in the graph:
Because Pepe's balance is growing exponentially and Leo's is growing linearly, it will be bigger.
Thus, Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.
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Somebody can help me please
Find the value of x.
Answer:
x = 110°
Step-by-step explanation:
The Outside Angle Theorem states that the measure of the angle formed by two secants or a secant and tangent from a point outside of a circle is half the difference between the two arcs.
This means that ½ (210 – x) = 50.
½ ( 210 – x ) × 2 = 50 × 2
210 – x = 100.
210 – x + x = 100 + x.
210 = 100 + x.
100 + x = 210.
100 + x – 100 = 210 – 100.
x = 110.
This value must be true because:
½ ( 210 – 110 ) = 50.
½ ( 100 ) = 50.
50 = 50.
plz answer quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]144\pi[/tex]cm
multiple 24 pi with 6 on a scientific calculator.
Answer:
4pi
Step-by-step explanation:
that is the procedure above
Select all that apply to the following statement. There is a LOW correlation between cheating and final grades in Math256. Group of answer choices Correlation requires both variables to be either qualitative or quantitative. The correlation has no unit of measurement; it is just a number. The correlation must specify which is the explanatory variable and which is the response variable Correlation requires both variables to be quantitative
Answer:
The correlation has no unit of measurement; it is just a number.
Correlation requires both variables to be quantitative.
Step-by-step explanation:
Correlation refers to the measure of the relationship between two variables. The correlation between two variables is measured using the correlation Coefficient which may take any value between - 1 and 1 ; the closer the correlation Coefficient is to either 1 or - 1, the greater the relationship with negative depicting a negative association and positive depicting a positive relationship between the variables. The correlation Coefficient requires that both variables are numeric (quantitative). The correlation Coefficient has no unit of measurement.
Find the slope of the line that passes through (7, 2) and (9, 9).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
the slope is m=7/2
Step-by-step explanation:
Answer:
7/2
Step-by-step explanation:
The value of a two digit number whose units digit is u and the sum of the digits is 7
write an algebraic expression
Answer:
The expression is 70 - 9 u .
Step-by-step explanation:
Digit at ones place = u
Let the digit at tens place is y.
Sum of the digits is 7.
y + u = 7
y = 7 - u
So, the number is
10 y + u
= 10 (7 - u) + u
= 70 - 10 u + u
= 70 - 9 u
if x^2=y^2+z^2
what does x equal?
Answer:
[tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertyAlgebra i
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle x^2 = y^2 + z^2[/tex]
Step 2: Solve for x
[Equality Property] Square root both sides: [tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.
Find the common difference. Give only the exact value as your answer.
Answer:
d = 4
Step-by-step explanation:
a7 = -9
a19 = 39
We know the formula for an arithmetic sequence is
an = a1+d(n-1)
Using the givens:
a7 = -9 = a1 +d(7-1)
a19 = 39 =a1 +d(19-1)
Subtracting these equations
-9 = a1 +d(6)
39 =a1 +d(18)
------------------------
-48 = 0 -12 d
Divide by -12
4 =d
Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee.
Which inequalities can represent this situation if m is the number of songs he can buy? Select two options.
1 + 1.5 m less-than-or-equal-to 25
Answer:
A, E or 1, 5
Step-by-step explanation:
Its not A, D
Please answer before 2:30!!!
There are 189 apples in a basket. How many children can share them equally?
List all numbers that apply.
For the equal distribution each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple.
What is equal distribution?
The distribution of a something in a way that each will get same amount.
How 189 can be divided equally?
If the distribution is equally then each child should take, either 1 or 2 or 3 an so on means same amount.
For this we will check that 189 is divisible by which numbers.
Now we can see that 189 is divisible by 1, 3, 7, 9, 21, 27, 63, 189. It is clear that each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple then the distribution will be equal means every child will have same amount of apple.
Therefore, the correct answer is 1, 3, 7, 9, 21, 27, 63, 189.
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One angle of a triangle is 22^0. What is the measurement (in degrees) of the corresponding angle in a similar triangle?
Answer:
22 degrees
Step-by-step explanation:
Corresponding angles in similar triangles are equal
So the corresponding angle would be 22 degrees
A ski rental service charges a $12.50 initial
flat rate and then an additional $1.00 per
hour. In this situation, what is the value of
the slope?
Answer:
1
Step-by-step explanation:
In this situation, the slope is 1.
This is because the ski rental service charges $1 per hour.
The $12.50 initial flat rate represents the y intercept, while the hourly charge is the slope.
So, the value of the slope is 1.
I need this question
The sum of two numbers is nine. Using x to represent the larger of the two numbers, translate "the difference between one more than the larger number and twice the smaller number" then simplify.
Answer:
We have that the sum of two numbers is 9
this can be written as:
x + y = 9
where x is the larger number.
Now we want to write:
"the difference between one more than the larger number and twice the smaller number"
First, remember that the difference between A and B is:
A - B
Then "the difference between one more than the larger number and twice the smaller number"
is:
"one more than the larger number" = ( x + 1)
"twice the smaller number" = 2*y
the difference between these is:
(x + 1) - 2*y
Now we can simplify:
We know that:
x + y = 9
then:
y = 9 - x
replacing that in the equation:
(x + 1) - 2*y
we would get:
x + 1 - 2*(9 - x)
x + 1 -18 + 2x
(x + 2x) + (1 - 18)
3x - 17
This means that we can write:
"the difference between one more than the larger number and twice the smaller number"
as: 3x - 17
Can someone help me on this
Answer:
d
Step-by-step explanation:
