Answer:
1. 172 cm²
2. 226.56 cm²
3. 336 cm²
4. 284 cm²
Step-by-step explanation:
which one ? all ?
a surface area of an object is always the sum of the individual shapes areas on its surface.
1. 6 rectangles (length×width)
2 rectangles of 2×8 = 16 cm²
32 cm²
2 rectangles of 2×7 = 14 cm²
28 cm²
2 rectangles of 7×8 = 56 cm²
112 cm²
total : 32+28+112 = 172 cm²
2. 2 triangles and 3 rectangles
2 triangles (baseline × height / 2) = 7.2×4.8/2 = 17.28 cm²
34.56 cm²
2 rectangles 10×6 = 60 cm²
120 cm²
1 rectangle 10×7.2 = 72 cm²
72 cm²
total : 34.56+120+72 = 226.56 cm²
3. 2 triangles (right-angled) and 3 rectangles
2 triangles (a×b/2) = 8×6/2 = 24 cm²
48 cm²
1 rectangle 6×12 = 72 cm²
72 cm²
1 rectangle 8×12 = 96 cm²
96 cm²
1 rectangle 10×12 = 120 cm²
120 cm²
total : 48+72+96+120 = 336 cm²
4. 6 rectangles
2 rectangles of 3×10 = 30 cm²
60 cm²
2 rectangles of 3×9 = 27 cm²
54 cm²
2 rectangles of 10×9 = 90 cm²
180 cm²
total : 60+54+180 = 294 cm²
A ______ is a graph of data based on quartiles showing a rectangle with lines extending from both its ends.
Another alternative answer is "box-and-whisker plot"
The box portion consists of data between Q1 and Q3, with the median somewhere in between. The whiskers represent stuff below Q1 and above Q3. The tip of each whisker represents the min and max, assuming there are no outliers. If there are outliers, then you'll have island points disconnected from the main boxplot.
What is filtration??
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex]\pmb{\qquad{\qquad{\qquad{\underline{\purple{\underline{\sf{Filtration}}}}}}}}[/tex]
Filtration is a physical or chemical separation process that separates solid matter and flu.id from a mixture using a filter medium that has a complex structure through which only the flu.id can pa.ss.
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Có ba kiện hàng, mỗi kiện có 20 sp. Số sp loại I trong 3 kiện lần lượt là 14, 15, 16. Chọn ngẫu nhiên 1 kiện và từ kiện đó chọn ngẫu nhiên 3 sp.
a. Tính xác suất để 3 sp được chọn là sp loại I.
b. Giả sử đã chọn được 3 sp loại I. Tính xác suất để 3 sp loại I này thuộc kiện thứ nhất.
show ur solving please
Write the trigonometric ratio as a fraction. Find the missing angles.
sin D = cosF=m
Answer/Step-by-step explanation:
Recall: SOH CAH TOA
✔️Sin D = Opp/Hyp
Opposite = 7
Hypotenuse = 25
Substitute:
Sin D = 7/25
[tex] D = sin^{-1}(\frac{7}{25}) [/tex]
m<D = 16.3°
✔️Cos F = Adj/Hyp
Adjacent = 7
Hypotenuse = 25
Substitute:
Cos F = 7/25
[tex] F = cos^{-1}(\frac{7}{25}) [/tex]
m<D = 73.7°
Solve the separable differential equation. (Use C for any needed constant.)
du/dt = (1 + u)(7 + t)
Answer:
[tex]ln( |1 + u| ) = 7t + \frac{ {t}^{2} }{2} + c[/tex]
Step-by-step explanation:
[tex]integral( \frac{1}{1 + u} )du = \\ integral(7 + t)dt[/tex]
[tex] ln( |1 + u| ) = 7t + \frac{ {t}^{2} }{2} + c[/tex]
Cardiovascular disease is a major cause of death and illness worldwide, with high blood pressure and high LDL cholesterol both being established risk factors. Because most cardiovascular events occur in persons with average risk factors. Because most cardiovascular events occur in persons with average risk and no previous cardiovascular disease history, the present research examined the simultaneous use of both blood pressure reducing drugs and cholesterol reducing drugs on this population, rather than focusing on only those on only those at high risk. Subjects included men at least 5 years old and women at least 6565 years old without cardiovascular disease who had at least one additional risk factor besides age, such as recent or current smoking, hypertension, or family history of premature coronary heart disease. Those with current cardiovascular disease were excluded from the study. Subjects were randomly assigned to the treatment (cholesterol and blood pressure reducing drugs) or a placebo, and the number suffering the primary outcome of a fatal cardiovascular event, a nonfatal myocardial infarction or a nonfatal stroke, were observed. Provided are the results for the two groups over the course of the study:
Group Sample size Number experiencing primary outcome
Treatment 3180 113
Placebo 3168 157
Let p1 be the proportion experiencing the primary outcome with the treatment and p2 the proportion without the treatment. Select the correct pair of hypotheses.
a. H0:p1=p2 versus Ha:p1â p2 .
b. H0:p1=p2 versus Ha:p1>p2 .
c. H0:p1=p2 versus Ha:p1
d. None of the options are correct.
Answer:
H0: p1=p2 versus Ha:p1≠p2
Step-by-step explanation:
Let p1 be the proportion experiencing the primary outcome with the treatment and p2 the proportion without the treatment.
We want to determine whether the proportion of persons having the treatment suffering the primary outcome of a fatal cardiovascular event is equal to the proportion of people without the treatment suffering the primary outcome of a fatal cardiovascular event.
The hypothesis is based on the study under observation. The claim is set as the alternate hypothesis.
The null and alternate hypotheses are
H0: p1=p2 versus Ha:p1≠p2
Both proportion ( with and without treatment ) are same
against the claim
Both proportion ( with and without treatment ) are not the same .
Option which gives the answer
H0: p1=p2 versus Ha:p1≠p2
is the best option.
Jessica has 3 cards in a bag, each marked with a letter. The letters are X, Y , and
Z. Without looking, she reaches into the bag, pulls out a card, and then puts the card
back in the bag. If Jessica does this 3 times, what is the probability she pulls out the
X card first, then the Y card, and then the Z card?
1/27
Step-by-step explanation:
get one card is 1/3 so you do 1/3x1/3x1/3
How many solutions exist for the system of equations graphed below?
none
one
two
infinitely many
Answer:
no solutions
Step-by-step explanation:
The lines are parallel and never intersect. The solutions occur when the lines intersect, so there are no solutions
The system of equations which is graphed have no solution.
What is system of linear equations?A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
A system of linear equation has only one solution when the graphs intersect at a point.A system of linear equation has no solution when the graph are parallel.A system of linear equation has infinite solutions when the graph are the exact same.According to the given question.
We have a graph.
In the given graph the two lines are drawn, which are parallel to each other. So, they don't have a common point.
Therefore, the system of equations which is graphed have no solution.
Find out more information about system of equations here:
https://brainly.com/question/12895249
#SPJ2
Sqrt 15(3+5) = Sqrt3+ sqrt 5
Answer:
False
Step-by-step explanation:
Assuming a and b are 2 different terms,
Sqrt a + Sqrt b is not equal to Sqrt (a * b).
The only way to obtain Sqrt (a * b) is by doing the following:
Sqrt (a * b) = Sqrt (a) * Sqrt (b)
In your own words, explain why the ratios 3:2, 6:4 and 9:6 are all equivalent
ratios.
Answer:
because in lowest term it's ratio is same
Step-by-step explanation:
hope you understand
Answer:
The ratios of 3:2, 6:4, and 9:6 are all equivalent because when you divide the numerator over the denominator, you get the same result for all of them. This means that if we took 3/2 and got 1.5, and took 6/4 and got 1.5 as an answer, and took 9/6 and got 1.5 as an answer as well, we would have the same answer for all of them. This is why (in my own words) the ratios are all equivalent.
Divide. Write the quotient in the lowest terms.
Answer:
[tex]12/1\frac{1}{5}[/tex] [tex]= 10[/tex]
Answer:
10
Step-by-step explanation:
a) What is l01% of 57 and what is 10% of the answer?
b) What is 3% of 50 and then add it to 300% of 50.
Please show workings for points.
Answer:
Part A)
57.57 ; 5.757
Part B)
3% of 50 is 1.5.
300% of 50 is 150.
Together, they add to 151.5.
Step-by-step explanation:
To find something "of" something, we can multiply the two values.
A)
To find 101% of 57, we will multiply the two values. Hence:
[tex]101\%(57)=1.01(57)=57.57[/tex]
And 10% of that will be:
[tex]10\%(57.57)=0.1(57.57)=5.757[/tex]
B)
First, find 3% of 50:
[tex]3\%(50)=0.03(50)=1.5[/tex]
Next, we can find 300% of 50:
[tex]300\%(50) = 3(50)=150[/tex]
Finally, add:
[tex]\Rightarrow 1.5+150=151.5[/tex]
A regular hexagon of side 8 cm is given. the hexagon is devided into 6 congruent triangles . calculate the area of the hexagonal
Answer:
96√3 cm^2
Step-by-step explanation:
half base = 4 cm
height of each triangle = 4√3 cm
Area of each triangle
(8 * 4√3)/2 = 16√3 cm^2
area of the hexagonal = 16√3 * 6 = 96√3 cm^2
How much dog food would fit in a into a can with a height of 15.5 cm and a diameter of 10 cm?
Answer:
depends on the size of the food
Step-by-step explanation:
In a clothing store, 65% of the customers buy a shirt, 30% of the customers
buy a pair of pants, and 20% of the customers buy both a shirt and a pair of
pants.
If a customer is chosen at random, what is the probability that he or she buys
a shirt or a pair of pants?
Answer:
75%
Step-by-step explanation:
List out known probabilities
[tex]\Pr(shirt) = 0.65 = \frac{65}{100} = \frac{13}{20}\\ \Pr(pants) = 0.40 = \frac{30}{100} = \frac{6}{20}\\\Pr(shirt \cap pants) = 0.20 = \frac{20}{100}=\frac{1}{5}[/tex]
recall equation
[tex]\Pr(A \cup B)=\Pr(A)+\Pr(B)-\Pr(A \cap B)[/tex]
Plug in values
[tex]\Pr(shirt \cup pants)=\frac{13}{20}+\frac{6}{20}-\frac{1}{5}\\\\therefore \Pr(shirt \cup pants) = \frac{15}{20} =\frac{3}{4} = 75\%[/tex]
Please help guys for these 2 questions
Answer:
question 11 ans = $2.2
question 12 ans = 4
please please pleaseee help asapppp
Answer:
Step-by-step explanation:
volume of a cylinder=πr^2h
=π*5^2*15
=π*25*15
=375π cm^3
Volume of a cylinder = πr^2h
→ π × 5^2 × 15
→ π × 25 × 15
→ 375π cm^3
What is the result of subtracting the second equation from the first?
-4x-2y=-2
x-2y=9
Please tell me if I should answer with the point (10, 5) or some way else.
Please help asap
I might give brainliest
Answer:
5x = 11.
Step-by-step explanation:
-4x - 2y = -2
x - 2y = 9
Subtracting:
-4x - x - 2y - (-2y) = -2 - 9
-5x - 2y + 2y = -11
-5x = -11
5x = 11.
14x^2y+4x-7xy-2=(2x-1)
Answer:
(2x -1) (7xy+2)
Step-by-step explanation:
Rewrite the equation as follows:
(14x^2y - 7xy) + (4x -2)
Factor 7xy from the first term and 2 from the second term:
7xy(2x -1 ) + 2 ( 2x -1)
Factor (2x-1) from each term to get
(2x -1) ( 7xy + 2)
You can multiply this out to verify the answer.
The 18 students in Ms. Sara's class picked 660 strawberries at a strawberry patch during their field trip. If they share them equally, how many whole strawberries can each student have
Answer:
36
Step-by-step explanation:
Since there are 18 students in the class and they picked 660 strawberries, you divided 660 by 18, giving you a quotient of 36.6666667. Since the question asks for how many whole strawberries each student can have, the answer is 36.
Answer:
36
Step-by-step explanation:
What is the value of x
Answer:
Step-by-step explanation:
115+94+107+2x=360 degree(sum of interior angles of four angles is always 360 degree)
316+2x=360
2x=360-316
x=44/2
x=22 degree
Think of 5 positive integers that have a mode of 4, a median of 8, a mean of 9 and a range of 12 what are the 5 integers
Answer:
{4, 4, 8, 13, 16}
Step-by-step explanation:
If we have a set of N numbers in order:
{x₁, x₂, ..., xₙ}
The median is the middle number of the set.
The mode is the value that is repeated more times in the set
The mean is computed as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the range is the difference between the largest value and the smallest value.
Here we want 5 positive integers, so we have something like:
{x₁, x₂, x₃, x₄, x₅}
We know that the median is 8.
Then the middle value, x₃, is equal to 8.
We also know that the mode is 4, then we can have the number 4 repeated two times, and because 4 is smaller than 8 and this must be in order, then we can have:
x₁ = x₂ = 4
Replacing these in the set we have:
{4, 4, 8, x₄, x₅}
Now we know that the range is 12, and this was the difference between the largest and smallest value.
We know that the smallest value is 4, and the largest value is x₅, then we will have:
x₅ - 4 = 12
x₅ = 12 + 4 = 16
Then our set is:
{4, 4, 8, x₄, 16}
Finally, we know that the mean is 9.
Remember that the equation for the mean is:
[tex]M = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]
Then we need to solve:
[tex]9 = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]
[tex]9*5 = 4 + 4 + 8 + x_4 + 16}[/tex]
[tex]45 = 32 + x_4[/tex]
[tex]45 - 32 = x_4 = 13[/tex]
Then the set of five positive integers is:
{4, 4, 8, 13, 16}
Alex and Thomas share 52 sweets. They divide them in the ratio 7:6. How many sweets does
Thomas have?
Answer:
24
Step-by-step explanation:
[tex]52 \times (6 \div (6 + 7)) = 4 \times 6 = 24[/tex]
Step-by-step explanation:
you first add the ratios 6+7= 13 then you divide the number of sweets by the total number of the ratio 52÷13=4 then you multiply the first ratio by the 4 you found 7×4=28 for Alex then by the second ratio 6×4=24
Please answer ai i pray toyou ai brainly 5+5f-6=7
Answer:
f = 1.6
Step-by-step explanation:
Answer:
f = 8/5
Step-by-step explanation:
[tex]5 + 5f - 6 = 7\\5f - 1 = 7\\5f = 7 + 1 \\5f = 8\\\\f = \frac{8}{5}[/tex]
Math Lab Review Work
1. Macy's is having their family and friends' sale. They are having 80% off everything. Janyla says
that she can find the sale price of an item that has a regular price of p by evaluating the
expression 0:20p. Nalia says that she can find the sale price for the same item by evaluating the
expression p-0.80p. Who is correct? (Hint: Substitute a value for p. Use the same number for
both expressions to see if you get the same answer
1 Pt
A) Neither
B) Both
C) Janyla
D) Nalia
A
B
0
D
E
Answer:
I think it C because I know that Nalia isn't correct so it's not D or B.
X-9=13 what should be done to solve the following equation
Answer:
X=22
Step-by-step explanation:
add 9 to both sides
X-9+9=13+9
X=22
why 13/4hr and 4hr are equal ?
Answer:
they are not equal
Step-by-step explanation:
13/4 hour is 3hour and 15 minutes
4x+y>9 Select all the correct answers. (1, 6) (2, 2) (3, −4) (5, 0) (−1, 13)
Answer: 1,6 2,2 5,0 These are the correct answers.
Step-by-step explanation:
the profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the profit
4 pairs
5 pairs
6 pairs
7 pairs
Answer:
A
Step-by-step explanation:
The profit for selling x pairs of shoes is given by:
[tex]P(x)=-4x^2+32x-39[/tex]
And we want to determine the number of pairs that needs to be sold in order to maximize profit.
Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex point. The x-coordinate of the vertex of a quadratic is given by:
[tex]\displaystyle x=-\frac{b}{2a}[/tex]
In this case, a = -4, b = 32, and c = -39. Substitute and evaluate:
[tex]\displaystyle x=-\frac{(32)}{2(-4)}=\frac{32}{8}=4[/tex]
So, in order to maximize profit, only four pairs of sohoes should be sold.
Our answer is A.
Answer:
A
Step-by-step explanation: