The surface area of the triangular prism is 193.05 cm².
We have,
The figure is a triangular prism.
Now,
There are 4 triangular surfaces.
Each surface area is the same except the base surface.
So,
3 surface area.
= 3 x (1/2 x 9 x 11.3)
= 3 x 50.85
= 152.55 cm²
And,
Base surface area.
= 1/2 x 9 x 9
= 40.5 cm²
Now,
The surface area of the triangular prism.
= 152.55 + 40.5
= 193.05 cm²
Thus,
The surface area of the triangular prism is 193.05 cm².
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Out of 20 cookies, 4/ 5 are chocolate chip. How many cookies are chocolate chip?
Answer:
16 cookies. Try your best.
Answer: 16
Step-by-step explanation:
We can solve this by using the equation: 4/5 x 20 = y
(y is the answer)
Now we can solve it. You can just solve 4/5 x 20, or if you like using decimals you can change it to 0.8 x 20, becaues 4/5 is equivalent to 0.8.
0.8 x 20 = 16.
Therefore, out of the 20 cookies, 16 are chocolate chip.
(easy math questions please help) find the value of x
Answer:
Look below
Step-by-step explanation:
1: 19
2: 34
3: 63
4: 8
5: 52
6: 81
7: 4
8: 39
9: 18
Hope this helped :)
6x + 9 = -12. What is the value of x?
(Six x plus nine, equals negative twelve)
Answer:
The answer is x=-7/2
Step-by-step explanation:
hope this helps
6x + 9 = -12
6x+9-9=-12-9
6x=-21
To find the x divide both side by 6.
6x/6=-21/6
x= -7/2
the answer to this question is = (- 7/2)
Question 2 (3 points)
Find the perimeter of the trapezoid.
Hint: you will need to use the Pythagorean
formula to find the missing side. Then find the
perimeter.
162.68
176.68
182.51
175.26
16
56
80
14
21.26
The perimeter of the trapezoid is given as follows:
44 cm.
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
The missing side is a side of a right triangle, in which the other side is of 18 - 10 = 8 cm, while the hypotenuse is of 10 cm, hence:
8² + h² = 10²
64 + h² = 100
h² = 36
h = 6.
Hence the perimeter is given as follows:
P = 18 + 10 + 10 + 6 = 44 cm.
Missing InformationThe trapezoid is given by the image presented at the end of the answer.
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PLEASE HELP ME PLEASE
Answer:
1. c
2. b
3. a
4. d
5. e
6. f
Step-by-step explanation:
The temperature dropped 12 degrees in 3 hours.How many degrees dropped per hour?
Answer:
4 degrees
Step-by-step explanation: First find the unit rate by dividing 12/3=4 so the temperature drop 4 degrees every hour
what is the raito 40 to 18
Answer:
20:9
Step-by-step explanation:
Here we will simplify the ratio to 40:18 for you and show you how we did it.
To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.
The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:
20:9
Caroline packs 12 jars of jam in a box . She has 50 boxes. She has 665 jars of jam. How many jars of jam will she have left when all the boxes are full?
Answer:
62 is the answer
Step-by-step explanation:
Hope that helps!
Cellular phone usage grew about 22% each year from 1995 (about 34 million) to 2003. Write a function to model cellular phone usage over that time period. What is the cellular usage in 2003?
Answer:
Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:
`y = a * b^(x - h) + k`
where:
- `y` is the quantity you're interested in (cell phone usage),
- `a` is the initial quantity (34 million in 1995),
- `b` is the growth factor (1.22, representing 22% growth per year),
- `x` is the time (the year),
- `h` is the time at which the initial quantity `a` is given (1995), and
- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).
So, our specific model becomes:
`y = 34 * 1.22^(x - 1995)`
To find the cellular usage in 2003, we plug 2003 in for x:
`y = 34 * 1.22^(2003 - 1995)`
Calculating this out will give us the cellular usage in 2003.
Let's calculate this:
`y = 34 * 1.22^(2003 - 1995)`
So,
`y = 34 * 1.22^8`
Calculating the above expression gives us:
`y ≈ 97.97` million.
So, the cellular phone usage in 2003, according to this model, is approximately 98 million.
QUESTIONS IN PICTURE/ATTACHMENT:
The domain of the question is expressed as; 0 ≤ x ≤ 4
The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36
How to find the domain and range of the graph?
The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.
Now, we are told that the insect population increases by 20% each month from May 1 to September 1.
The function that represents the insect population after x months is;
f(x) = 100(1.2)ˣ
Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4
f(0) = 100(1.2)⁰
f(0) = 100
f(4) = 100(1.2)⁴
f(4) = 207.36
100 ≤ f(x) ≤ 207.36
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Question 18 of 25The table shows how many children and adults prefer each of two differentfruits. How would you find the joint relative frequency of being a child whoprefers watermelon?WatermelonGrapesTotalChild13285217Adult111117228Total243202445OA. Divide 243 by 445.B. Divide 132 by 243.C. Divide 132 by 445.OD. Divide 132 by 217.
Gven:
Total number of children = 217
Number of children who prefer watermelon = 132
Number of people who prefer watermelon = 243
From the given table, let's determine how you would find the relative frequency of being a child who prefers watermelon.
To find the relative frequency of being a child who prefers watermelon, apply the formula:
\(r=\frac{number\text{ of children who prefer watermelon}}{total\text{ number of children}}\)Hence, we have:
\(r=\frac{132}{217}\)Therefore, we are to divide 132 by 217.
ANSWER:
D. Divide 132 by 217
Help with this question
When solving for the lengths of the sides of a right triangle, we can make use of the acronym SOH-CAH-TOA. In this problem, because x is adjacent to the 52-degree angle and we are also given the length of the hypotenuse, we can use the "CAH" part, which stands for cosine x = adjacent/hypotenuse.
\(\begin{gathered} \cos\theta=\frac{adjacent}{hypotenuse} \\ \\ \cos52=\frac{x}{18} \\ \\ 18\cos52=x \\ \\ 11.08=x \end{gathered}\)So the answer is x = 11.08.
You have 2 different savings accounts. For Account A, the simple interest earned after 9 months is $2.55. For Account B, the simple interest earned after 30 months is $30.00. If the interest rate is 3.4% for Account A and 2.4% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Principal amοunt οf A is 100 and B is 50.
Yοu received the mοst interest in Accοunt B thrοughοut the first mοnth.
What is interest ?Amοunts paid by a bοrrοwer tο a lender οr investοr in additiοn tο repaying the amοunt bοrrοwed are knοwn as interest. As an illustratiοn, a bοrrοwer might take οut a lοan fοr $20,000 and agree tο pay an additiοnal $200 in interest. The sum οf interest paid οr interest earned οver a given periοd is knοwn as an interest rate.
Fοr instance, the interest rate is 10% if the priοr bοrrοwer prοmises tο settle the balance οwed within a year. Interest can be cοmpοunded (calculated as the interest amοunt οn the past-due principle plus the interest accrued) οr simple (calculated as the interest amοunt οn the past-due principal οnce). Cοmpοunded interest can alsο be calculated οn a daily, weekly, mοnthly, semi-annual, quarterly, οr even annual basis.
I = PRT/100 is hοw simple interest is calculated.
P is the principal, οr the amοunt οf mοney that was initially invested.
R = interest rate
T = time
I = $2.55 R = 3.4% T = 9 mοnths = 9/12 = 0.75 years fοr accοunt A.
I= PTR/100
Or, 2.55 =(P×3.4×0.75) /100
Or, p=100
Using the equatiοn:
In the case οf Accοunt B, I = $30.00 R = 2.4% T = 30 mοnths = 30/12 = 2.5 years.
I=PTR/100
Or, 30.00 =(P×2.4×2.5)/100
P= 50
Applying the fοrmula: We divide the interest by the number οf mοnths tο determine which accοunt earned greater interest in the first mοnth.
$2.55/9 = $0.2833
$30.00/18 = $1.666
Because $00.2833 is greater than $01.666 in the first mοnth, Accοunt B gave yοu the highest interest.
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Given the relation shown in the table below :
Answer:
domain: -7, -1, 0, 1
Range: -1, 0, 1, 2, 7
Step-by-step explanation:
I don't know the drop-down menu choices so I can't answer that one for you sorry :(
But I hope this helps :)
How -15 + 8 gives me 7 ????????
Answer:
It gives you -7
Step-by-step explanation:
Think of the problem as 8 - 15, because 8 is a smaller number and 15 is bigger, you'll get a negative number.
The next step is use the rule**a-b = -(b-a)**which is - (15 - 8)
Then when you simplify it, it will be - (15 - 8)= - 7**(which is the answer)
Hope this helps:)
The table shows locations on a map.
Place
park
farmers market
Location
•(-2,2)
(-2,3)
(2, 2)
(6,-3)
post office
bus stop
Which places on the map are 4 units apart?
the park and the farmer's market
O the farmers market and the bus stop
O the post office and the park
O the post office and the bus stop
Answer:
The table shows locations on a map.
Place
parkfarmers marketpost officebus stopLocation
(-2,2)(-2,3)(2, 2)(6,-3)Which places on the map are 4 units apart?
O the park and the farmer's market
O the farmers market and the bus stop
✓ the post office and the park
O the post office and the bus stop
Step-by-step explanation:
Distance :---
\(→ \sqrt{ {(2 - ( -2 ))}^{2} + {(2 - 2)}^{2} } \\ = \sqrt{ {4}^{2} + {0}^{2} } = \sqrt{ {4}^{2} } = \boxed{4 \: units}\)
Choice the correct answer
Answer:
wheres A
Step-by-step explanation:
Water is flowing from a horizontal pipe 48 feet above the ground. The falling stream of water has the shape of a parabola whose vertex (0, 48) is at the end of the pipe (see figure). The stream of water strikes the ground at the point (10 sqrt3 , 0). Find the equation of the path taken by the water
The water stream's parabola has the equation y = 48 - (x2)/(20*sqrt(3)), with the vertex at (0, 48) and the point of impact at (10sqrt(3), 0).
The equation of the parabola created by the water stream has a vertex at (0, 48), which is where the pipe ends. It is a quadratic equation. The pipe serves as the middle of the parabola's base, which is symmetrical and has a vertex at that location. The vertex form of a parabola can be used to determine the equation of the parabola, which is y = 48 - (x2)/(20*sqrt(3)). The parabola opens downward, with the highest point at (0, 48) and the lowest point at (10sqrt(3), 0), where the water stream hits the ground, according to the equation. The parabola's vertex and point of impact with the ground are described by the equation for the water's journey.
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shawn is shoppping for a rug for his dinning room. the rectangular sug he likes measures 5 feat by 7 feet. what is the area of the rug?
Answer:
35 square feet
Step-by-step explanation:
Area of the rug :
Length x width7 x 535 square feet1. Find these products.
a. (-5) x (-2) =
b. 5(-9) =
c. (-4) (+8)=
e. (-32)(+10) =
g. (-3) (-2) x(+4) =
i. (-4)(-6)(-2)(-10) =
k. (-6)(-6)=
d. (-4).(-12)
f. (+12) X (-11) =
h. (7) X(-9) X (-2) =
j. (-6)(-9)(+4) =
1. (8).(-7).(-3) =
Answer:
a. 10
b. -45
c. -32
e. -320
g. 24
i. 480
k. 36
d. 48
f. -132
h. 126
j. 216
1. 168
Step-by-step explanation:
a. 5×2=10
b. -(5×9)= -45
c. -(4×8)= -32
e. -(32×10)= -320
g. 3×2×4=6×4=24
i. 4×6×2×10= 240×2= 480
k. 6×6=36
d. 4×12=48
f. -(12×11)= -132
h. 7×9×2=126
j. 6×9×4
1. 8×7×3
find the product 1.72x0.32
Answer:
.5504
Step-by-step explanation:
what is 2/3=????????
Answer:
A. 4/6
Step-by-step explanation:
It's 4/6 because 4/6 is 2/3 just multiplied by 2.
Hope this helps. ; )
Answer:
2 divided by 3
Step-by-step explanation:
0.6 repeating
Find the median for this list of data. 85,84,82,88,64,90,85,78
Answer:84.5
Step-by-step explanation:
Answer:
84.5
Step-by-step explanation:
1. Put the numbers in numerical order.
2. Cross out the numbers on the far left and right until you get to 84 and 85.
3. Add the two numbers and divide by 2.
The perimeter of the TCL 3-Series Roku Smart TV is 112 inches. The width of the TV is 16 inches greater than its height. Find the width and the height of the TV.
Answer: Height = 20 inches, Width = 36 inches
Step-by-step explanation:
Let the height be \(h\) and the width be \(h+16\).
Using the formula for the perimeter of a triangle,
\(2(h+h+16)=112\\\\2(2h+16)=112\\\\2h+16=56\\\\2h=40\\\\h=20 \implies h+16=36\)
1 Migdalia has 6 red marbles, 5 blue marbles, and 1 black marble in
a bag. Each marble is the same size and shape. Migdalia pulls out
one marble from the bag without looking. What is the probability
of Migdalia pulling out a blue marble?
1
A 773
B
C
D
1
5
5
12
5
7
τε
b=
f-
The probability Migdalia pulls out a blue marble is 5/12.
What is probability?Probability describes the odds, chance, or likelihood that a particular expected event occurs when there are many possible outcomes.
Probability is computed as the quotient of the number of outcomes and the total number of successes.
We can express probability as a proportion, ranging from zero to 1, as a fractional value, or as a percentage from 0% to 100%.
The number of red marbles = 6
The number of blue marbles = 5
The number of black marbles = 1
The total number of marbles = 12
The probability of pulling a blue marble = 5/12 = 41.67%
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There are 7 girls and 9 boys on a playground.
What is the ratio of the number of girls to the total number of children?
Total number of children= 7+9=16
ratio of girls to total students = 7:16
The ratio of the number of girls to the total number of children is 7 : 16.
Ratio is defined as follows:It is a comparison between two or more numbers that measures sizes in relation to each otherIt describe how much of a thing is compared to another.The number of girls in the playground = 7
The number of boys in the playground = 9
The total number in the playground is the sum of the number of girls and the number of boys.
Therefore,
total children in the playground = 7 + 9 = 16
The ratio of the number of girls to the total number of children can be express as follows:
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Evaluate 2xy when x = -1/4 and y = 3
Answer:
-1.5
Step-by-step explanation:
2(-1/4)(3)
=-1.5
You replace x with -1/4 and y with 3 inside of parenthesis
someone knows the answer to that question?
i cant read itStep-by-step explanation:
Prove that
(secx+tanx)² =CSCx+1/CSC x-1
To prove that (secx+tanx)² = (cscx+1)/(cscx-1), we will start with the left-hand side (LHS) of the equation and simplify it step by step until it matches the right-hand side (RHS) of the equation.
LHS: (secx+tanx)²
Using the trigonometric identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the LHS as:
LHS: (1/cosx + sinx/cosx)²
Now, let's find a common denominator and simplify:
LHS: [(1+sinx)/cosx]²
Expanding the squared term, we get:
LHS: (1+sinx)² / cos²x
Next, we will simplify the denominator:
LHS: (1+sinx)² / (1 - sin²x)
Using the Pythagorean identity sin²x + cos²x = 1, we can replace 1 - sin²x with cos²x:
LHS: (1+sinx)² / cos²x
Now, let's simplify the numerator by expanding it:
LHS: (1+2sinx+sin²x) / cos²x
Next, we will simplify the denominator by using the reciprocal identity cos²x = 1/sin²x:
LHS: (1+2sinx+sin²x) / (1/sin²x)
Now, let's simplify further by multiplying the numerator and denominator by sin²x:
LHS: sin²x(1+2sinx+sin²x) / 1
Expanding the numerator, we get:
LHS: (sin²x + 2sin³x + sin⁴x) / 1
Now, let's simplify the numerator by factoring out sin²x:
LHS: sin²x(1 + 2sinx + sin²x) / 1
Using the fact that sin²x = 1 - cos²x, we can rewrite the numerator:
LHS: sin²x(1 + 2sinx + (1-cos²x)) / 1
Simplifying further, we get:
LHS: sin²x(2sinx + 2 - cos²x) / 1
Using the fact that cos²x = 1 - sin²x, we can rewrite the numerator again:
LHS: sin²x(2sinx + 2 - (1-sin²x)) / 1
Simplifying the numerator, we have:
LHS: sin²x(2sinx + 1 + sin²x) / 1
Now, let's simplify the numerator by expanding it:
LHS: (2sin³x + sin²x + sin²x) / 1
LHS: 2sin³x + 2sin²x / 1
Finally, combining like terms, we get:
LHS: 2sin²x(sin x + 1) / 1
Now, let's simplify the RHS of the equation and see if it matches the LHS:
RHS: (cscx+1) / (cscx-1)
Using the reciprocal identity cscx = 1/sinx, we can rewrite the RHS:
RHS: (1/sinx + 1) / (1/sinx - 1)
Multiplying the numerator and denominator by sinx to simplify, we get:
RHS: (1 + sinx) / (1 - sinx)
Now, we can see that the LHS and RHS are equal:
LHS: 2sin²x(sin x + 1) / 1
RHS: (1 + sinx) / (1 - sinx)
Therefore, we have proven that (secx+tanx)² = (cscx+1)/(cscx-1).
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