To solve this question, we need to calculate the area of each face of the composite figure and sum them all.
Let's analyze the faces of the figure:
· 2 triangles of base 12cm and height 5cm
· 1 rectangle of base 13cm and height 4cm (in the blue part)
· 1 rectangle of base 5cm and height 5cm (also in the blue part)
· 2 rectangles of base 12cm and height 3cm
· 2 rectangles of base 4cm and height 3cm
·1 rectangle of base 12cm and height 4cm
Now, we need to calculate the areas of those figures. The formula for the area of a triangle is:
\(A_{traingle}=\frac{base\cdot height}{2}\)The formula for the area of a rectangle is:
\(A_{rectangle}=base\cdot height\)Now we use the formulas and the lengths listed above to find each area:
· 2 triangles of base 12cm and height 5cm:
\(A_1=\frac{12\cdot5}{2}=30cm^2\)· 1 rectangle of base 13cm and height 4cm (in the blue part):
\(A_2=13\cdot4=52cm^2\)· 1 rectangle of base 4cm and height 5cm (also in the blue part)
\(A_3=4\cdot5=20cm^2\)· 2 rectangles of base 12cm and height 3cm:
\(A_4=12\cdot3=36cm^2\)· 2 rectangles of base 4cm and height 3cm:
\(A_5=4\cdot3=12cm^2\)·1 rectangle of base 12cm and height 4cm:
\(A_6=12\cdot4=48cm\)Now, we add all the areas, but we need to remember to multiply by 2 the repeated faces. The total surface area of the figure is:
\(A=2\cdot30+52+20+2\cdot36+2\cdot12+48=60+52+20+72+24+48=276cm^2\)Thus, the answer is:
\(SA=276cm^2\)
which of the following statements is true?
Answer:
second one
Step-by-step explanation:
100 points will mark brainliest
Answer:
A is the answer
Step-by-step explanation:
if its wrong than its C
please help me with this question
Answer:
\( \sqrt{8 + y} \)
what is the solution?
x=3 and y=4
x=5 and y=4
x=4 and y=3
x=3 and y=2
Answer:
give me more instructions so i can actually help
Step-by-step explanation:
6 x (12 - 7)
Thanks for answering!
Answer:
30
Step-by-step explanation:
since 12 - 7 is in the- um- whatever these- ( )- things are called (I forgot), you do it first. 12 - 7 is 5.
Next you do 6 x 5 which gives you your final answer of 30.
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Multiply -4x^-2y(2yx^3+6xy^3-3y^3x4)
Answer:
below here hopes it helps!
Step-by-step explanation:
A credit card company advertises an APR of 14.7 compounded daily. What is the effective interest rate.Round your answer to two decimal places
Answer:15.83
Step-by-step explanation:
15.83 cuz I did it
Solve 4cos(4x)=2
for the smallest three positive solutions.
Give your answers accurate to at least two decimal places, as a list separated by commas.
market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions
Answer:
0.8461
Step-by-step explanation:
The question didn't state any value, so I assumed some of my own.
You can check your notes, and change the values to that of your own, it's the same method.
Given that
The market research firm conducts survey with 40% historical response rate.
The total number of sample is used is 400
The total number of individuals expected to cooperate is 150
What is the probability that the sample proportion would be 150/400 or 0.375..
See attachment for calculation.
Help me
g + 3 + 4(9 + 2) =
Answer:
g+3 +36+8=
g+39+8=
g+47
You can't find an answer but this is how you would simplify it :)
Step-by-step explanation:
Two slices of Horace's Pizza have 240 Calories in total. How many Calories would you expect to be in 5 slices of the same pizza?
Maria score 70% on a spelling test if there are 40 total words how many did he get right?
Answer:
28 words Maria got right
Step-by-step explanation:
70% of total words Maria got right
Therefore:
\(\frac{70}{100} *40= 28\)
The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 26.50 mpg and a standard deviation of σ = 3.25 mpg.
(a) What is the standard error of X¯¯¯
, the mean from a random sample of 25 fill-ups by one driver? (Round your answer to 4 decimal places.)
The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.
A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:
Standard Error (SE) = σ / sqrt(n),
where σ is the standard deviation and n is the sample size.
In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.
Plugging in these values into the formula, we have:
SE = 3.25 / sqrt(25).
Calculating the square root of 25, we get:
SE = 3.25 / 5.
Performing the division, we find:
SE ≈ 0.65.
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solve the equation 2 b + 32 equal 8
a salesman earns 25% commission he sells amount to 2450 shillings after giving a buyers 2% discount . calculate his commission. Suppose all the goods were sold at marked price , what would be is earnings?
Answer:
Step-by-step explanation:
A) Commission = 2450 shillings * 25 % = 2450 shillings * (25/100) = 2450 shillings * (0.25) = 612.50 shillings
Commission = 612.50 shillings
B) If the total sale is 2,450.00 shillings, after the seller gives buyers a 2% discount. We must re-enter the discount:
2,450.00 shillings = X - X * 2% = X - 0.02 X --->
------> 0.98 X = 2,450.00 shillings
------>X= 2,450.00 / 0.98
------> X = 2,500.00 shillings
NEW COMMISSION = 2,500.00 shillings * 25 % = 2,500.00 shillings *(25/100) =2,500.00 shillings * (0.25) = 625 shillings
NEW COMMISSION = 625 shillings
I buy 4 5/8 blue fabric and 2 1/8 green fabric how much blue than green did i buy
Answer:
2.5
Step-by-step explanation:
We Know
You buy 4 5/8 blue fabric and 2 1/8 green fabric .
4 5/8 = 37/8 = 4.625 blue fabric
2 1/8 = 17/8 = 2.125 green fabric
How much blue than green did you buy?
We Take
4.625 - 2.125 = 2.5
So, you buy 2.5 blue more than green.
the three data sets show the number of text messages sent by jada, and diego, and lin over 6 days. one of the data sets has a mean of 4, one has a mean of 5, and one has a mean of 6.
1. which data set has which mean? what does this tell you about the text messages sent by the three students?
2. which data set has the greatest variabillity? Explain
1. Jada's data set has a mean of 5, Diego's data set has a mean of 6, and Lin's data set has a mean of 4.
2. The data set that has the greatest variability is Lin's data set because it has the highest standard deviation of 3.6.
How to calculate the mean for the set of data?In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:
Mean = [F(x)]/n
Question 1.
In this scenario and exercise, we would determine the mean of the three data sets based on the number of text messages sent by Jada, and Diego, and Lin over 6 days as follows;
Mean number of text for Jada = (4 + 4 + 4 + 6 + 6 + 6)/6
Mean number of text for Jada = 30/6
Mean number of text for Jada = 5.
Mean number of text for Diego = (4 + 5 + 5 + 6 + 8 + 8)/6
Mean number of text for Diego = 36/6
Mean number of text for Diego = 6.
Mean number of text for Lin = (1 + 1 + 2 + 2 + 9 + 9)/6
Mean number of text for Lin = 24/6
Mean number of text for Lin = 4.
Question 2.
In Statistics, variability is a measure of the spread of a data set. Also, we would use standard deviation to determine the variability in each data set as follows;
Standard deviation = √(1/n × ∑(xi - u₁)²)
Standard deviation for Jada = √(1/6 × [(4 - 5)² + (4 - 5)² + (4 - 5)² + (6 - 5)² + (6 - 5)² + (6 - 5)²]
Standard deviation for Jada = √(6/6) = 1
Standard deviation for Diego = √(1/6 × [(4 - 6)² + (5 - 6)² + (5 - 6)² + (6 - 6)² + (8 - 6)² + (8 - 6)²]
Standard deviation for Diego = √(14/6) = 1.53
Standard deviation for Lin = √(1/6 × [(1 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (9 - 4)² + (9 - 4)²]
Standard deviation for Lin = √(76/6) = 3.6
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
PR and SU are parallel lines. Which angles are alternate interior angles
Answer:
RQT AND STQ
Step-by-step explanation:
I'm not sure but that's what I think it is
9514 1404 393
Answer:
(d) ∠RQT and ∠STQ
Step-by-step explanation:
Alternate interior angles are on opposite sides of the transversal, and between the parallel lines. Of the answer choices, the only one that fits is ...
∠RQT and ∠STQ
__
In the attached, pairs of alternate interior angles are identified in the same color (red or blue).
please help me on this im confused please ty
The domain of the graph of the exponential function is (d) all real numbers
Calculating the domain of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph of the exponential function
The rule of an exponential function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is always greater than the constant term
From the graph, the constant term is 0
So, the range is y > 0
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Gianna drives 5 miles in 10 minutes. If she drove three hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Gianna drive in total?
Gianna is 90 miles far away in 3 hours of driving.
She drove in total of 180 minutes.
What is speed?The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Given,
Gianna drives 5 miles in 10 minutes
Speed per minute = 5/10 = 0.5 miles/minute
Gianna drove in total for 3 hours
1 hour = 60 minutes
3 hours = 60 × 3 = 180 minutes
Distance Gianna drove in 180 minutes = speed per minute × time
= 0.5 × 180
= 90 miles
Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.
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You are having a pizza-making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (including yourself, the host). Once you have a total count of guests, you buy exactly the needed amount of all the ingredients. The dough and sauce that you buy weigh 130 ounces all together.
How many ounces of dough did you buy?
Answer:
how many people are there, does it say?
Step-by-step explanation:
Answer: 78 ounces of dough
Step-by-step explanation:
You bought 78 ounces of dough and 52 ounces of sauce
Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
The taxi ride was 7 miles
How to calculate the number of miles ?Mia took a taxi from her house to the airport
The taxi charged a pick up fee of $1.30
They also charged $4.25 per mile
The total fare was $31.05
The number of miles can be calculated as follows
31.05 - 1.30 = 4.25x
29.75= 4.25x
Divide both sides by the coefficient of x which is 4.25
29.75/4.25= 4.25x/4.25
x= 7
Hence the taxi ride was 7 miles
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Isabel bought 36 pieces of fruit for her soccer team.
There are 16 apples, 12 bananas, and the rest are
pears. How many pieces of fruit are pears?
Answer:
There are 16 Apples , and 12 bananas and altogether it had 36 pieces of fruit so they say the rest is pears 8 pears
someone sells a product for 10 cents and he sells 1000 products, how much money did he earn
Answer:
$100
Step-by-step explanation:
10¢ × 1,000 = 10,000¢To convert to dollars: Cents ÷ cents in 1 dollarTo convert to dollars: 10,000¢ ÷ 100¢ = $100I hope this helps!
Write an equation of the circle with center (-6, 2) and diameter 10.
Solution:
We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where h is the x coordinate, k is the y-coordinate, r is the radius of circle, and the center of circle is (-6,2).
Finding the radius of the circle.
Diameter: 10 unitsRadius: 10/2 units = 5 unitsCreating the equation:
(x – h)² + (y – k)² = r²=> (x + 6)² + (y – 2)² = 5²The equation is (x + 6)² + (y – 2)² = 5².
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Rivet holes are punched in steel beams. To ensure that the rivets will fit and that the joint will have adequate strength, it is necessary to control the standard deviation o the diameter, and measurements are made periodically. Ten measurements are made of nominally 1-inch-diameter holes, and the standard deviation is found to be 0.002 inches. What is the 95% confidence interval on the standard deviation? Required – confidence interval in the standard deviation → Chi-squared distribution. S = 0,002 in., n = 10, = n – 1 = 9. 95% confidence level: = 1-0.95 = 0.05.
Answer:
The 95% confidence interval for the standard deviation of the diameter is (0.0014; 0.0036).
Step-by-step explanation:
We have to calculate a confidence interval for the standard deviation.
The confidence level is 95%.
The size of the sample is n=10.
The sample standard deviation is s=0.002.
The lower limit is calculated as:
\(LL=s\sqrt{\dfrac{n-1}{\chi_{(1-\alpha)/2;n-1}}}\\\\\\LL=0.002\sqrt{\dfrac{10-1}{19.02}}=0.002\sqrt{0.473}=0.002*0.688=0.0014\)
\(UL=s\sqrt{\dfrac{n-1}{\chi_{\alpha/2;n-1}}}\\\\\\UL=0.002\sqrt{\dfrac{9}{2.7}}=0.002\sqrt{3.33}=0.002*1.826=0.0036\)
The 95% confidence interval for the standard deviation of the diameter is (0.0014; 0.0036).
A price floor of $25 per unit will result in a ?
Answer:
HI INEED HELP TOO
Step-by-step explanation:
\(\int\limits^5_1 {x^2+2x-tanx} \, dx\)
The definite integral for this problem has the result given as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)
How to solve the definite integral?The definite integral for this problem is defined as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx\)
We have an integral of the sum, hence we can integrate each term, and then add them.
For the first two terms, applying the power rule, the integrals are given as follows:
Integral of x² = x³/3.Integral of 2x = 2x²/2 = x².The integral of the tangent is given as follows:
ln|sec(x)|
Then the integral is given as follows:
I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.
Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:
I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)
I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 212 - ln|sec(5)| + ln|sec(1)|.
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What is four fifths divided by two thirds?
Answer:6/5 or 1.2
Step-by-step explanation:
4/5 divided by 2/3
=4/5 *3/2
=12/10
=6/5
=1.2
The perimeter of Marisa's garden is 32 feet. The width is 6 feet. What is the length of
Marisa's garden?
The length of Marisa's garden is 10
What is the length of Marisa's garden?The given parameters are:
Perimeter = 32 feet
Width = 6 feet
The perimeter is calculated as:'
Perimeter = 2 * (Length + width)
So, we have
2 * (Length + 6) = 32
Divide by 2
Length + 6 = 16
Subtract
Length = 10
Hence, the length of Marisa's garden is 10
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