The figure shows the dimensions for a birthday gift. Find the minimum amount of wrapping paper, in square inches, needed to cover the gift. Round your answer to the nearest whole inch.
sqauare inches
Answers
The minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.
What is of total surface area of the rectangular prism?The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of prism.
Total surface area of the rectangular prism is calculated with the following formula.
[tex]A=2(lb+bh+lh)[/tex]
Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.
The minimum amount of wrapping paper required to cover the gift is equal to the surface area of the figure.
The figure is made with different sides, The area of all the sides is equal to the surface area of the figure. The surface area of it is,
[tex]A=2(5\times8)+(15\times8)+(15\times10)+2(\dfrac{1}{2}3\times8)+(15\times5)+(15\times11)\\A=614\rm\;in^2[/tex]
Thus, the minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.
Learn more about the total surface area of a rectangular prism here;
https://brainly.com/question/15456870
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Related Questions
Mila and Ben use red and orange beads to make bracelets with 60 beads each.
Mila uses 2 red beads for every 3 orange beads. Ben uses 5 red beads for
7 orange beads. Who uses more orange beads?
every
Mila
Ben
Red Orange
Total
Red Orange
Total
2
3
5
7
60
60
Answers
Answer:
Mila
Step-by-step explanation:
3+2=5
60/5=12
12*3=36
Mila uses 36 orange beads
7+5=12
60/12=5
7*5=35
Ben uses 35 orange beads
Mila uses more beads
hope this helps you on your homework :D
Answer:
From the results we can see that Mila would be using 15 orange beads.
Step-by-step explanation:
Step 1: Determine a common denominator
We need to figure out a ratio between the two people in a way so we can compare the amount of orange beads that are being used. We know that Mila uses 2 red beads while ben uses 5 red beads which means that we can use a ratio of 10.
(2 red beads * 5) : (3 orange beads * 5)
(10 red beads) : (15 orange beads)
(5 red beads * 2) : (7 orange beads * 2)
(10 red beads) : (14 orange beads)
Answer: From the results we can see that Mila would be using 15 orange beads.
Nadia wants to estimate the mean driving range for her company's new electric vehicle. She'll sample vehicles and measure each of their driving ranges to construct a confidence interval for the mean driving range. She wants the margin of error to be no more than 10 kilometers at a 90% level of confidence. A pilot study suggests
that the driving ranges for this type of vehicle have a standard deviation of 15 kilometers.
Which of these is the smallest approximate sample size required to obtain the desired margin of error?
A) 5 vehicles
B) 7 vehicles
C) 10 vehicles
D) 15 vehicles
E) 30 vehicles
Answers
Using the z-distribution, it is found that the smallest sample size required is given by:
B) 7 vehicles.
What is the margin of error for a z-distribution confidence interval?It is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value.[tex]\sigma[/tex] is the population standard deviation.n is the sample size.In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
The margin of error and the population standard deviation are given by, respectively:
[tex]M = 10, \sigma = 15[/tex].
Then, we solve for n to find the needed sample size.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 1.645\frac{15}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 1.645 \times 15[/tex]
[tex]\sqrt{n} = 1.645 \times 1.5[/tex]
[tex](\sqrt{n})^2 = (1.645 \times 1.5)^2[/tex]
[tex]n = 6.1[/tex]
Rounding up, 7 vehicles have to be sampled, hence option B is correct.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Select the correct answer.
Which of these is a non-real complex number?
Answers
Answer:
C
Step-by-step explanation:
[tex]\dfrac 83 +\sqrt{-\dfrac 73}\\\\=\dfrac 83 + \sqrt{-1} \sqrt{\dfrac 73}\\\\=\dfrac 83 +i\sqrt{\dfrac 73}~~~~~~;\left[i =\sqrt{-1}\right]\\\\\text{It is now in the standard form of complex number (a+bi).}[/tex]
Find the length of the missing side of the right triangle.
Answers
Answer:
b=8
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 =c^2 where a and b are the legs and c is the hypotenuse
6^2 + b^2 = 10^2
36+b^2 = 100
Subtract 36 from each side
b^2 = 100-36
b^2 = 64
Take the square root of each side
sqrt(b^2) = sqrt(64)
b = 8
A line slope has a slope -5 and passes through the point (2,2)..An equation for this line is
Answers
Answer:
y = -5x + 12
Step-by-step explanation:
First remember the equation y = mx + b
We have values for x, y, and m so all we need to do is solve for b.
2 = -5 (2) + b
2 = -10 + b
12 = b
Then plug that value back in and keep the variables for x and y
y = -5x + 12
i need help asap please
Answers
Answer:
x = 52 due to vertical angle theorem
Step-by-step explanation:
Vertical angles mean that the angles are congruent.
If we know that one angle is 52 the other one shall be 52 as well because vertical angles state that ones that are directly across are congruent known as equal.
What is the slope-intercept equation for this line?
--1
y = [?]=x +
Enter the correct
symbol,+ or -.
-2
-3
Answers
Answer:
y = -1/2x - 2
Step-by-step explanation:
Slope Intercept form: y=mx+b
You need to find the slope and y-intercept.
(0,-2) is the y-intercept which is the point on the y-axis that is intersected by the linear equation which is our slope line.
Now, we need to find our slope.
*This line is a negative slope*
Starting at our y-intercept [ (0,-2) ] we need to go to a point where the line intersects.
The red dot on the coordinate plane clearly represents it.
(2,-3) is the red point in which we need to go down 1 and over 2 to get there.
So our slope should be -1 / 2
Lastly, write in slope-intercept form:
y = -1/2x - 2
2. Billie purchased a Jeep for $12,480. Her down payment was $3,600. If she paid the remainder in 48 monthly payments (excluding interest), what would be her monthly payment? (1) $165 (2) $175 (3) $185 (4) $195 (5) $205
Answers
Answer:
(3) $185
Step-by-step explanation:
12,480 - 3,600 = 8,880
8,880 / 48 = 185
16/x 45/3 find the value of x round to the nearest tenth
Answers
Answer:
x would be equal to 1.1
Step-by-step explanation:
Step 1: Determine the value of x
I assume that the equation looks like this: 16/x = 45/3
Therefore, using the cross multiply method we can do (16*3) = (x*45)
This will give us 48 = 45x
Then we divide both sides by 45 so we can isolate x by itself
45x/45 = 48/45
x = 1.0667
Then we round to the nearest tenth
x = 1.0667
x = 1.1
Answer: x would be equal to 1.1
Answer:
x = 16/15, or (to the nearest tenth) x = 1.1
Step-by-step explanation:
Note: there must be an " = " sign between the two fractions:
16 45
------- = -------
x 3
Also note that 45/3 reduces to 15: 16/x = 15
Multiplying both sides by x yields 16 = 15x, so that x must be x = 16/15 = 1.1
please help with this
Answers
Answer:
C.Step-by-step explanation:
This is pretty straight forward. Here are the answers verified:
A. Incorrect. Pretty much not even close to 2°. If it was, then it would've been a very small triangle.B. Incorrect. It is kind of close to it, but it is not 28°. Once again, it would've been small.C. Correct. Angle just about right to reach 62°.D. Incorrect. This triangle would've been kind of big. Though it is not 88°, it is not big.Correct choice is C.
Simplify by combining like terms:
-2x + 3 - 8y + 12 + 6x - 7y
Answers
Answer: 4x-15y+15
Step-by-step explanation:
Just combine then simplify.
PLEASE MARK ME THE BRAINLIEST!!!
Answer:
4x - 15y + 15
Step-by-step explanation:
You can only combine terms that have the same variable. For example, a number with the "x" variable can only be added to/subtracted by other numbers with the "x" variable. To make the simplifying easier, I would start by putting these terms next to each other. Remember that the negative values must stay with the value they are next to (i.e., the (-) in front of the (7y) must stay with it).
Starting: -2x + 3 - 8y + 12 + 6x - 7y
Rearranged: -2x + 6x - 8y - 7y + 3 + 12
Then, combine the values by adding them. Remember, adding a negative value means you end up subtracting it.
(-2x) and (6x) combine to form (4x)
(-8y) and (-7y) combine to form (-15y)
(3) and (12) combine to form (15)
This leaves you with: 4x - 15y + 15
4 ft 8 ft 4 ft 10 ft
Explain to a friend how to find the perimeter of the figure shown.
Answers
Answer:
Take the measurement of every side and add them together. This will give you the total perimeter. For example, if you have a rectangle with the measurements 4 ft on the 2 short sides and 8 ft on the two long sides, you add together 4 + 4 + 8 + 8 which equals 24.
Hope I was able to help :)
what is the exact value of tan(19pi/12)
Answers
Answer:
the answer is -2-√3
Step-by-step explanation:
[tex] \tan( \frac{19\pi}{12} ) \\ \tan( \frac{19 \times 180}{12} ) \:\:we \: know \: that \: \pi = 180 \\ \\ \tan(285) \\ = - 2 - \sqrt{3} [/tex]
Find the measure of angle x in the figure below:
A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 56 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 51 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 72 degrees. The interior angle on the left is labeled as x.
35°
47°
73°
78°
Answers
Answer:
I took the Test it is 72
A Ferris wheel contains 16 cars evenly spaced on a circle with a radius of 20 feet. What is the distance between any two cars on the Ferris wheel?
Answers
Answer:
230.4
feet
Explanation:
arc length
=
circumference
×
fraction of circle
×
×
×
×
=
2
π
r
×
165
360
×
×
×
×
=
2
×
π
×
80
×
165
360
×
×
×
×
=
230.4
feet to nearest tenth
Answer:
23
Step-by-step explanation:
the answer is 22.5 but rounded to the nearest whole which is 23
15 dollars a hour spends 25 dollars a day. Write an expresstion of his earnings in a day?
Answers
Answer:
E = 15x - 25
Step-by-step explanation:
He makes 15 dollars an hour for x amount of hours and then subtract 25 dollars
find an equation of the line through the given points. give the final answer in slope-intercept form (-2,2) (4,-1)
Answers
to get the equation of any straight line, we simply need two points off of it, let's use the points in the picture below.
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-2)}}}\implies \cfrac{-3}{4+2}\implies \cfrac{-3}{6}\implies -\cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{(-2)}) \\\\\\ y-2 = -\cfrac{1}{2}(x+2)\implies y-2=-\cfrac{1}{2}x-1\implies y=-\cfrac{1}{2}x+1[/tex]
13-18 Express the quantity as a single logarithm.
15. [tex]\ln 10+2 \ln 5[/tex]
Answers
World War II began in the year 1939.
Let x represent any year. Write an inequality in terms
of x and 1939 that is true only for values of x that
represent years before the start of World War II. PLS ANSWER ILL GIVE U 5 STARS
Answers
Answer:
x < 1939
Step-by-step explanation:
If we want years before 1939, then x must be less than 1939. From this we can make the inequality: x < 1939. It shows that x must be anything less than 1939.
Answer asap and only if yk 100% its correct
Answers
Answer:
24
Step-by-step explanation:
If one of the side is 6 in and the shape is a square. All the sides most be 6 aswell. so it's 6x4
what two expressions plus 3x-4 add up to 9x+6
Answers
Answer:
6x-10
Step-by-step explanation:
Because if you take 9x+6 minus 3x-4 you get 6x-10 because when you subtract a negetive you add them. :) Hope this helps.
jack picks 60 apples from an apple tree .He uses 12 of them to make applesauce .He places the remaining apples equally into 6 gift baskets. Wich equation can be used to determin the number of apples,a, Jack places into each gift baskets.
Answers
Answer:
42 apples
Step-by-step explanation:
42 apples cuz how much Jack used
Joe collected 94 stamps altogether. He collected 27 in April and 34 in May. How many did he collect in June?
Answers
Answer:
33
Step-by-step explanation:
From what we know in April and May combined Joe has collected 61 stamps (27+34=61). To then work out how many Joe collected in June you would take the 61 we know he has already got away from the grand total of 94 (94-61=33) this means in June he collects 33 stamps. Hope this helps :)
which product is less than 111
31/55x111
31/31x111
55/55x111
55/31x111
Answers
Answer:
31/55 * 111
Step-by-step explanation:
For all the other products, the number before the slash is greater than, or equal to the number after the slash. This means that the fraction is greater than or equal to 1 and thus a bigger product. For 31/55 however, the value is less than 1 (0.56) and thus, the actual product will be less than 111.
Convert 21 inches to feet using dimensional analysis round to 2 decimal places necessary
Answers
1 foot = 12 inches = 1/12
21/1 x 1/12 = 21/12 = 1.75 feet
Answer: 1.75 feet
What is the perimeter, in square units, of a rectangle XWYZ, with vertices X(0,0) W(0,7) Y(3,7) Z(3,0)?
Answers
Answer:
20
Step-by-step explanation:
P=2(l+w)=2·(7+3)=20 The length was 7 and the width was 3.
If X=2y+6 find the value of x³-8y³-36xy-216.
Answers
Answer:
Please check out the attachment.
btw sorry for the handwriting
Step-by-step explanation:
Stay safe, stay healthy and blessed.
Have a blessed day !
Thank you
ABC = 90, ACB = 45° and AC = 2√6. a) Find the measure of the angle CAB.
Answers
Angles of triangle = 180=90+45+x
180=135+x
180-135=135-135+x
45=x
Geoff is training for a charity bike ride. he takes a ride on 49-Mile Scenic Drive in San Francisco. The table shows his time at the beginning and end of the ride. What is Geoff's average speed for the ride?
Answers
Answer:
here
distance=49miles
time=3.5
Step-by-step explanation:
Now,
we know that,
V=Distance÷time
=49÷3.5
=14
so that,
Avg.Speed=Velocity÷time
=14÷3.5
=4 ans
can someone help me with this? please
Answers
Answer:
14.4 feet
Step-by-step explanation: