Calculator What is the surface area of this rectangular prism? O 110 in² O 180 in² O200 in² O220 in² 10 in. 5 in.
Answers
The surface area of the rectangular prism is 220 square inches
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
5 in by 10 in by 4 in
The surface area of the rectangular prism is calculated as
Area = 2 * (5 * 10 + 5 * 4 + 10 * 4)
Evaluate
Area = 220
Hence, teh area is 220 square inches
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Related Questions
A store sells 12 cans of fruit cocktail for $18. How much would it cost you to buy 7 cans of fruit cocktail?
Answers
Answer:
10.50$
Step-by-step explanation:
We know that the price for 12 cans is $18. So we can set up an equation. Let c equal the price of one can. One can cost 1.50 thats cause 18 divided by 12 is 1.50. Now you just take 1.50 and add that 7 times.
The base of a 14 foot ladder is 6 feet from a building if the ladder reaches the flat roof how tall is the building? The height of the building is_ ftThe height of the building is approximately_ft
Answers
Step 1. Gather the information that we have and make a diagram.
The length of the ladder is 14 ft, the distance from the base of the ladder to the building is 6 ft and the height of the building is unknown.
We will call this unknown height ''a''.
The following diagram represents the situation:
Step 2. The triangle formed between the floor, the building, and the ladder is a right triangle (it has a 90° angle), this means that we can use the Pythagorean theorem to solve this and find ''a''.
The Pythagorean theorem is represented by the equation:
\(a^2+b^2=c^2\)where a and b are the legs of the triangle, and c is the hypotenuse of the triangle (the side opposite to the 90° angle)
In our case,
\(\begin{gathered} c=14ft \\ b=6ft \end{gathered}\)And we need to find a.
Step 3. Substituting the known values into the Pythagorean theorem:
\(\begin{gathered} a^2+b^2=c^2 \\ a^2+(6ft)^2=(14ft)^2 \end{gathered}\)Solving the exponential terms:
\(a^2+36ft^2=196ft^2\)And solving for a^2 by subtracting 36ft^2 to both sides of the equation:
\(\begin{gathered} a^2=196ft^2-36ft^2 \\ a^2=160ft^2 \end{gathered}\)Taking the square root of both sides and simplifying:
\(\begin{gathered} \sqrt[]{a^2}=\sqrt[]{160ft^2} \\ \\ a=\sqrt[]{16\cdot10}ft \\ \\ a=4\sqrt[]{10}ft \end{gathered}\)This result can also be represented as a decimal number:
\(a=4\sqrt[]{10}ft\approx12.65ft\)Answer:
The height of the building is
\(4\sqrt[]{10}ft\)The height of the building is approximately
\(12.65ft\)
Write an equation for the plot
Answers
What does the net decimal equivalent (NDE) represent?
Answers
Answer:
the product of the decimal equivalents of all discount in the series
Use the Cross Products Property to solve x/35 = 2/7.
Answers
7x=70
divide both sides by 7
x=10
Answer:
x = 10
Step-by-step explanation:
Set up:
\(\frac{x}{35} = \frac{2}{7} \\\)
Cross multiple:
7x = 70
Divide by 7
x = 10
ALGEBRA please put a very small explanation to the awnser
Answers
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
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Given that ABCDEF, solve for x.
A. 3
B. 2
OC. 6
D. 4
Answers
The value of side length x (DF) in the triangle is 4.
What is the value of x?The figures in the image is that of two similar triangle.
Triangle ABC is similar to triangle DEF.
From the diagram:
Leg 1 of the smaller triangle DE = 5
Leg 2 of the smaller triangle DF = x
Leg 1 of the larger triangle AB = 30
Leg 2 of the larger triangle AC = 24
To find the value of x, we take the ratio of the sides of the two triangle since they similar:
Hence:
Leg DE : Leg DF = Leg AB : Leg AC
Plug in the values:
5 : x = 30 : 24
5/x = 30/24
Cross multiplying, we get:
30x = 5 × 24
30x = 120
x = 120/30
x = 4
Therefore, the value of x is 4.
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NEED ANSWER ASAP what's the correct answer?
Answers
2•3 = 6
+
12•6= 72
———
78
Colton is going to invest $59,000 and leave it in an account for 10 years. Assuming
the interest is compounded daily, what interest rate, to the nearest hundredth of a
percent, would be required in order for Colton to end up with $94,000?
Answers
Answer:
4.66
Step-by-step explanation:
A=P(1+
n
r
)
nt
Compound interest formula
A=94000\hspace{35px}P=59000\hspace{35px}t=10\hspace{35px}n=365
A=94000P=59000t=10n=365
Given values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{365(10)}
59000(1+
365
r
)
365(10)
Plug in values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{3650}
59000(1+
365
r
)
3650
Multiply
\frac{94000}{59000}=
59000
94000
=
\,\,\frac{59000\left(1+\frac{r}{365}\right)^{3650}}{59000}
59000
59000(1+
365
r
)
3650
Divide by 59000
1.593220339=
1.593220339=
\,\,\left(1+\frac{r}{365}\right)^{3650}
(1+
365
r
)
3650
\left(1.593220339\right)^{1/3650}=
(1.593220339)
1/3650
=
\,\,\left[\left(1+\frac{r}{365}\right)^{3650}\right]^{1/3650}
[(1+
365
r
)
3650
]
1/3650
Raise both sides to 1/3650 power
1.000127613=
1.000127613=
\,\,1+\frac{r}{365}
1+
365
r
-1\phantom{=}
−1=
\,\,-1
−1
Subtract 1
0.000127613=
0.000127613=
\,\,\frac{r}{365}
365
r
365\left(0.0001276\right)=
365(0.0001276)=
\,\,\left(\frac{r}{365}\right)365
(
365
r
)365
Multiply by 365
0.046578745=
0.046578745=
\,\,r
r
4.6578745\%=
4.6578745%=
\,\,r
r
Convert to percent (multiply by 100)
r\approx
r≈
\,\,4.66\%
4.66%
The weights of bags of chips are normally distributed with a mean of 180 grams and a standard deviation of 4 grams.
What percent of the bags of chips weigh less than 176 grams?
2.5%
16%
32%
34%
Answers
The percent of the bags of chips weigh less than 176 grams is b 16%
What percent of the bags of chips weigh less than 176 grams?From the question, we have the following parameters that can be used in our computation:
Mean = 180
Standard deviation = 4
Bags of chips weigh less than 176 grams
This means that
x = 176
So, the z-score is
z = (176 - 180)/4
Evaluate
z = -1
The percent of the bags of chips weigh less than 176 grams is represented as
P = P(z < -1)
Using a graphing calculator, we have
Percentage = 0.15866
So, we have
Percentage = 16%
Hence , the percentage is 16%
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What is the value of x when 1/3 x=9 1/3?
Answers
Answer:
x=28
Step-by-step explanation:
1/3x=9*3+1/3
1/3x=28/3 divide 28/3 by 1/3=28/3*3/1
x=28/3*3/1
cancel 3
x=28/1
x=28
PLEASE HELP WILL GIVE BRAINLIEST
WHAT IS DIVIDED BY 196
Answers
Answer:
1, 2, 4, 7, 14, 28, 49, 98, and 196.
Step-by-step explanation:
need help on my homework please
Answers
Answer:
32
Step-by-step explanation:
\( \frac{8(8)}{2} = 32\)
i think this is the answer
Answer:
32
Step-by-step explanation:
8 x 8 = 64
64/2 = 32
Hope this helps!
y varies directly as the cube of x. When x = 3, then y = 7. Find y when x = 4.
Answers
Answer:
\(y \: \alpha \: {x}^{3} \ \\ y \: = k {x}^{3} \\ where \: y = 7 \: and \:x = 3 \\ y = k {x}^{3} \\ 7 = k ( {3)}^{3} \\ 7 = 27k \\ k = \frac{7}{27} \\ \\ so \: \: y = \frac{7}{27} {x}^{3} \\ \\ y = \frac{7}{27} {4}^{3} \\ y = \frac{448}{27} \)
the required value of y at x = 4 is 16.64.
Given that,
y varies directly as the cube of x. When x = 3, then y = 7.To determine the y when x = 4.
Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.
Here,
y is directly proportional to the cube of x i.e
y ∝ x³
y = kx³ - - - - - (1)
where k is proportionality constant,
At x = 3 y = 7
7 = k (3)³
7 / 27 = k
k = 0.26
Put k in equation 1
y = 0.26 x³
Now at x = 4
y = 0.26 * 4³
y = 0.26 * 64
y = 16.64
Thus, the required value of y at x = 4 is 16.64.
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Given the diagram below, what is
cos(45*)?
8 √2
450
Triangle not drawn to scale
O A. 1/√2
O B. 2 √2
O C. 4 √2
O D. √2
Answers
The value of cos(45°) is √2/2. The correct answer choice is D. √2.
In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.
Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.
Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:
cos(45°) = x/(x√2) = 1/√2
Simplifying further, we rationalize the denominator:
cos(45°) = 1/√2 * √2/√2 = √2/2
Therefore, the value of cos(45°) is √2/2.
The correct answer choice is D. √2.
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The signed-rank test can be adapted for use in testing H0: μ = hypothesized value, where μ is the mean of a single population (see the last part of this section). Suppose that the time required to process a request at a bank’s automated teller machine is recorded for each of 10 randomly selected transactions, resulting in the following times (in minutes); 1.4, 2.1, 1.9, 1.7, 2.4, 2.9, 1.8, 1.9, 2.6, 2.2. Use the one-sample version of the signed-rank test and a .05 significance level to decide if the data indicate that the mean processing time exceeds 2 minutes.
Answers
Answer:
There is not enough evidence suggesting that the mean processing time exceeds 2 minutes.
Step-by-step explanation:
The hypothesis can be defined as follows:
H₀: The mean processing time is 2 minutes, i.e. μ = 2.
Hₐ: The mean processing time exceeds 2 minutes, i.e. μ > 2.
The significance level of the test is, α = 0.05.
Recorded Time (x) (x - μ) + Ranks -Ranks
1.4 -0.6 8
2.1 0.1 1
1.9 -0.1 1
1.7 -0.3 6
2.4 0.4 7
2.9 0.9 10
1.8 -0.2 4
1.9 -0.1 1
2.6 0.6 8
2.2 0.2 4
TOTAL 30 20
Sum of +Ranks = 30
Sum of -Ranks = 20
Test statistic = Min (∑+Ranks, ∑-Ranks)
= Min (30, 20)
= 20
Compute the critical value using the Wilcoxon Signed-rank test table.
Critical value = 11
As the test statistic value is more than the critical value, the null hypothesis was failed to be rejected.
Thus, there is not enough evidence suggesting that the mean processing time exceeds 2 minutes.
Which is the same as dividing a number by 10?
A, Move the decimal one place to the left.
B, Move the decimal one place to the right.
C, Move the decimal two places to the left.
D, Move the decimal two places to the right.
Answers
Answer:
A is the answer
Step-by-step explanation:
Anytime a number is being divided by 10 it moves to the left creating a decimal.Example : 5÷10 = 0.5 , 500÷10 = 50
Anytime a number is being multiplied by 10 the number increases with a 0. Example : 5 × 10 =50
I hope this helped
Answer:
A
Step-by-step explanation:
When it comes to division, we usually move to the left, but multiplication is to the right. Then it is division by 10, which has only one zero, so we move once to the left.
8. If floor boards are 2 inches wide, how many will be required to cover a floor 17 feet wide?
Answers
Answer:
Step-by-step explanation:
12 inches per foot
17 (12) = 204 inches
204 inches/ 2 inches/board = 102 boards
Simplify 310x + 16y + 310x + 56y ( i need help)
Answers
Answer:
\(620x+72y\)
Step-by-step explanation:
\(310x+16y+310x+56y \\ \\ =310x+310x+16y+56y \\ \\ =620x+72y\)
In the figure shown to the right, two angle measurements are given. Determine the others.
Answers
The figure is shown below
From the figure
Angle 150 degree and angle p forms angles on a straight
Since the sum of angles on a straight line equals 180 degrees
Hence
\(150^{\circ}+p=180^{\circ}\)Solve for p in the equation
\(\begin{gathered} p=180^{\circ}-150^{\circ} \\ p=30^{\circ} \end{gathered}\)Hence, p = 30
From the figure
Angle p and angle q are vertically opposite angles
Since vertically opposite angles are equal then
\(p=q=30^{\circ}\)Hence, q = 30
Applying the rule of angles on a straight line
This implies
\(q+w+60=180\)Substitute q = 30 into the equation
\(30+w+60=180\)Solve for w
\(\begin{gathered} w+90=180 \\ w=180-90 \\ w=90 \end{gathered}\)Hence, w = 90
Which set of fractions is ordered from greatest to least?
A. 2/3, 3/8, 5/12
B. 5/12, 3/8, 2/3
C. 2/3, 5/12, 3/8
D. 3/8, 2/3, 5/12
Answers
A. Would have a common denominator of 24 so the fractions would be: 16/24. 9/24. 10/24
B. Common denominator of 24 so fractions would be. 10/24. 9/24. 16/24
C. Would become. 16/24. 10/24. 9/24
D. Would become. 9/24. 16/24. 10/24
Answer: C. Is ordered greatest to least
need help and don’t just give answer have a explanation at least then i’ll give u brain list
Answers
Answer:
11.75
Step-by-step explanation:
Interior angles in a quadrilateral sum to 360.
Opposite angles in a parallelogram are the same.
360=118+118+(4x+15)+(4x+15)
= 236 + 8x + 30
= 266 + 8x
8x = 360 - 266 = 94
x=94/8 = 11.75
Answer:
x=11.75
If the answer is 11.75, move to L.
Step-by-step explanation:
The sum of all angles in this parallelogram is 360°. And angles which are vertical are the same.
118+118= 236
236+2(4x+15)=360
236+8x+30=360
8x+266=360
8x=94
x=11.75
Please help ASAP I don’t know how to do this
Answers
∆HGJ is isosceles
hence, angleH = angle J
8x = 6x + 18
8x - 6x = 18
2x = 18
x = 18/2
x = 9
angleH = 8x = 8×9 = 72
angleH =72°
Before starting his job, Clayton had been on an airplane 3 times. Since then, he has flown 6 times each year.
Let y represent the number of years since Clayton started his job and f represent the total number of times he has flown.
Complete the equation that represents the relationship between y and f.
y f
1 9
2 15
3 21
4 27
f=
y+
Answers
Answer:
f = 6y + 3
Step-by-step explanation:
The equation to reflect this condition is:
f = 6y + 3Where
3 - is constant, the initial number of flights6 - coefficient, number of flights per yeary- number of yearsf- total number of flightsJuanita has 70 toy cars. 40% of the cars are blue. How many cars are blue? O A. 14 B. 28 O C. 30 OD. 20
Answers
1) Gathering the data
Juanita 70 toys
40% = 0.4
If 40% are blue, then:
0.4 * 70=28
So Juanita has 28 blue toy car
The list shows numbers in order from least to greatest. Negative 34, negative 2 and three-fourths, blank, negative 1.5, 0, 2.3, 10, 25 and one-fifth Which is an integer that can be inserted on the blank line in the list? Negative 2.5 –2 Negative 1 and StartFraction 9 Over 10 EndFraction –1
Answers
Answer:
answer should be a
Step-by-step explanation:
i just had that question and the answer was a hope it helped
Answer:
Answer is B
just took the quiz hope it helps :3
Which equation is NOT equivalent to p – 7 = 22? Select all that apply.
A. p – p – 7 = 22 – p
B. p – 7 – p = 22 – p
C. p – 7 + 22 = 22 – 7
D. p – 7 + 7 = 22 – 22
E. p – 7 + 7 = 22 + 7
Answers
The equation that is not equivalent to p – 7 = 22 will be:
C. p – 7 + 22 = 22 – 7
D. p – 7 + 7 = 22 – 22
E. p – 7 + 7 = 22 + 7
How to illustrate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario
It should be noted that p – 7 + 22 = 22 – 7, p – 7 + 7 = 22 – 22 and p – 7 + 7 = 22 + 7 don't give the original equation. Therefore, the answers are C D and E.
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The measure of an angle is 7º. What is the measure of its complementary angle?
Answers
Answer:
83°
Step-by-step explanation:
A complementary angles' measurements will equal 90°. One of the angles = 7°. Subtract 7 from 90:
90 - 7 = 83
83° is the measurement of the complementary angle.
~
Answer:
83°
Step-by-step explanation:
Complementary angles add up to 90° in measurement.
With that in mind:
\(90 -7=83\)
The complementary angle would measure 83°.
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Lucky Lauto is a game of chance in which each time you play, you must win or lose. If the P(winning in Lucky Lauto) = 0.008 %, then the t P(losing in Lucky Lauto) = [A] % QUESTION 22 [A] gives the ratio of the number of ways to succeed to the total number of ways that an experiment can happen.
Answers
The ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.
In the game of Lucky Lauto, the probability of winning is 0.008%, which means that the probability of losing is 100% - 0.008% = 99.992%. This is the complement of the probability of winning, as the two probabilities must add up to 100%.
The ratio of the number of ways to succeed to the total number of ways that an experiment can happen is given by the probability of success. In this case, the probability of winning is 0.008%, so the ratio of winning to the total number of possible outcomes is 0.008:100, or 1:12500.
Similarly, the ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.
In conclusion, the probability of losing in Lucky Lauto is 99.992%, and the ratio of losing to the total number of possible outcomes is 12499:12500.
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The function L 200P+3 models the total number of lives L a player is given in a video game after scoring p points. The video game just
gave Linda a fifth life. Which equation could be used to find the total number of points Linda scored in order to earn her fifth life? (1 point)
Answers
Answer:
P = 200L - 600
Step-by-step explanation: