If two variables (x and y) are directly proportional to each other, their relationship can be described as y=kx, where k is how they change relative to one another
A wooden box is in the shape of a regular pentagonal prism. The sides, top, and bottom of the box are 1 centimeter thick. Approximate the volume of wood used to construct the box. Round your answer to the nearest tenth. brainly
Answer:
Volume of regular pentagonal prism = 1.72 cm³ (Approx.)
Step-by-step explanation:
Given:
Side of regular pentagonal prism = 1 cm
Height of regular pentagonal prism = 1 cm
Find:
Volume of regular pentagonal prism
Computtaion:
Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]a²h
Volume of regular pentagonal prism = (1/4)[√5(5+2√5)](1)²(1)
Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]
Volume of regular pentagonal prism = (0.25)[√5{5+4.472}]
Volume of regular pentagonal prism = (0.25)[√5{9.472}]
Volume of regular pentagonal prism = (0.25)[√47.36]
Volume of regular pentagonal prism = (0.25)[6.8818]
Volume of regular pentagonal prism = 1.72045
Volume of regular pentagonal prism = 1.72 cm³ (Approx.)
Answer:
217.96 or 218.0 in Big Ideas Math
Thanks Harlan for helping me understand this problemStep-by-step explanation:
volume of the whole prism - smaller inner prism
Bigger Prism (apothem = 4, height = 6)
360/5 = 72 72/2 = 36
4 · tan (36) = 2.906
2.906 · 4 = 11.6247
11.6247 · 5 = 58.1234 ← The area of the Pentagon
58 · 6 = 348.740 ← The Bigger Prism Volume
Smaller Prism (apothem = 3, height = 4)
Keep in mind that the bottom, sides, and top of the box is one centemeters thick ⇒ smaller pentagon ⇒ (apothem = 4-1, height = 6 - 2)
3 · tan (36) = 2.1796
2.1796 · 3 = 6.5389
6.5389 · 5 = 32.6944 ← small Pentagon Area
32.6944 · 4 = 130.7777 ← Small Pentagon Prism Volume
Final Step
Area of big prism - small prism
348.74041 - 130.7777 = 217.9627
Round to the nearest tenth ⇒ 218.0
A line segment's measurement(s) include which of the following?
Check all that apply.
A. None of these
B. Width
C. Height
D. Length
Answer:
D. Length
Step-by-step explanation:
We measure the length of a line segment, and thus, the correct answer is given by option D.
The length of a line segment is the distance between it's endpoints, using the formula for the distance between two points given below.
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Question help on this problem! Please
Answer:
Step-by-step explanation:
hi: the second, the third and the last one are true
Answer:
The second, the third and the last statement is true.
Hope this helps!
HELP PLS IM FAILING MATH AND NO ONE IS HELPING ILL MARK U BRAINLIEST
Answer:
X = 30
Step-by-step explanation:
You can find the answer by solving for line RS through the corresponding ratio and adding it to the known value of ST.
Find the measure of z.
regular pentagon
120°
144°
108°
135°
The measure of m∠z is 135°.
What is Octagon?A closed two-dimensional figure having eight sides, eight vertices, and eight interior angles is known as an octagon. An octagon is referred to as a regular octagon if all of its sides and internal angles are of equal length; otherwise, it is referred to as an irregular octagon.
As, Each inner angle is the same measure because it is a regular octagon.
To calculate the interior angle sum of a polygon, we have a formula.
The total internal angle of a polygon
= (n -2)180°, where "n" is the number of sides.
Here, n = 8
Then, sum of the interior angles.
= (8 -2)180
= 6 x 180
= 1080°
Thus, the measure of m∠z = 1080/ 8 = 135°
Learn more about Octagon here:
https://brainly.com/question/11658698
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if the simple interest on $1000 for 10 years is $400, then what is the interest rate?
Mary needs to reflect point B, which is located at (4, 9), over the y-axis. Write the coordinate that is a reflection of point B over the y-axis?
Include ( ) around your coordinate.
Answer:
(-4,9)
Step-by-step explanation:
When you reflect over the y axis, The X coordinate changes to opposite, the Y doesn't change
HELP PLEASE If 2x−y = 0 and x−2y=3, then 6x−6y =
(A) 6
(B) 12
(C) 18
(D) 21
(E) 24
Answer:
A) 6
Step-by-step explanation:
what is a equivalent expression for 2/8 - 1/5 times x?
Answer:
2/8 - 1/5x
1/4 - 1/5x
5/20 - 4/20x
*all possible answers listed above*
Step-by-step explanation:
Are there choices?
CAN SOMEONE PLSSS HELP ME! IT’S DUE TODAY. I NEED THE SURFACE AREA AND VOLUME...
Answer:
one of the triangles is 7.5, if you need both areas then it is 15cm2
Step-by-step explanation:
multiple 3x5=15, this will make it for a square. To create the triangle, you just divide it by two, because two triangel make a square.
What is the answer for this question above
Answer:
Option A, 130°
Hope this helps!
in which set are all of the numbers solutions to the inequality x < -3?
Answer:
x = -4, -5, -6, -7...
Step-by-step explanation:
x = all negative integers less than -3
Please help me!
Will give brainlst :)
Answer:
Step-by-step explanation:
Answer:
this is a line with a slope of 1 and a y-intercept of 3
a number less than 20 amounts to three times the number
Answer:
20 - x = 3x
Step-by-step explanation:
A number less than 20 amounts to three times the number
20 - x = 3x
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
3v+2v–2v
need it asap please!!!!
Answer:
they are rational numbers
Help me plsssssssss :(
Answer:
I would love to help you but what am I helping with there is no question there other that "Help me plssssss"
Step-by-step explanation:
Solve for x. 4(x - 1) + 3x = 31*
Answer:
x=5
Step-by-step explanation:
4(−1)+3=31
4−4+3=31
A triangle's base is increasing at the rate of 3 inches/sec, its height at 2 inches/sec. At what rate is the area of the rectangle increasing when base is 10 inches and height is 14 inches
Answer:
dA/dt = 31 in²/ sec
Step-by-step explanation:
The area of the triangle is:
A(t) = (1/2)*b*h where b is the base and h the height
Differentiation on both sides of the equation we obtain
dA/dt = (1/2)* db/dt * h + (1/2)* dh/dt * b (1)
db/dt = 3 in/sec
dh/dt = 2 n/sec
b = 10 in
h = 14 in
By substitution in (1)
dA/dt = 0,5* 3*14 + 0,5* 2*10
dA/dt = 21 in² /sec + 10 in²/sc
dA/dt = 31 in²/ sec
Plz help PppppLz plz someone worth 21 pt and brainlest
Answer:
This is a case of direct variation. Hence,
210/1=x/2
x=420
since 2 pandas eat it each day hence
420/7
=60
60 pounds is the answer.(sure)
Step-by-step explanation:
Hope it helps you.
Answer: 60 pounds
Step-by-step explanation:
210 pounds a week
Divide by 7 days (a week)
Equals 30 pounds a day/ per panda
There is 2 pandas so 30 pounds times 2 equals 60 pounds
Which value of x makes the equation 2+4(6-2x)= 8 true?
Answer:
Step-by-step explanation:
2+4(6-2x)=8
2+24-8x=8
26-8x=8
26-8=8x
18/8=x
2.25=x
substitute the value of x
2+4(6-2x)
2+4(6-2*2.25)
2+6
8
therefore 8=8 so it is true
Answer:
Did this about a year ago but you should try math-way it gives the correct answers, and if you by any chance are doing ap ex go to those online tutors. You decide if it's camera on or off. Sorry I couldn't help more, it's been a while.
Age of each person in Kidz Zone
6
5
4
2
1
20
25
0
0 5 10 15
Number of years
In which interval is the median age?
Choose 1 answer:
0-5
5 - 10
Answer:
10-15
Step-by-step explanation:
Median is the middle of the numbers (or in this case, number sets)
The middle number set is the third.
Thus, the interval would be 10-15.
Answer: 5-10
Step-by-step explanation:
the median for 11 data points would be the sixth data point which falls into the 5 to 10 years interval
Please help me
Due today.
Answer:
C.
Step-by-step explanation:
What is the opposite of dividing by 21? A. dividing by 21 B. multiplying by 21 C. subtracting 21 D. adding 21
Answer:
the correct answer is option B
Write the Equation of a line given slope and y-intercept or points
1) b = 17/5 and m=3
Answer:
I'm sorry hindi ko po alam
Evaluate the following
6!
Answer:
Mind showing a picture?
Thank you!
One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow?
Using it's concept, it is found that there is a 0.2727 = 27.27% probability that the ball drawn is yellow.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that the probabilities are as follows:
1/3 probability of picking the first bag, then 3/11 probability of picking a yellow ball.1/3 probability of picking the second bag, then 5/11 probability of picking a yellow ball.1/3 probability of picking the third bag, then 1/11 probability of picking a yellow ball.Then, the probability of picking a yellow ball is given by:
[tex]p = \frac{1}{3}\left(\frac{3}{11} + \frac{5}{11} + \frac{1}{11}\right) = \frac{9}{33} = 0.2727[/tex]
0.2727 = 27.27% probability that the ball drawn is yellow.
More can be learned about probabilities at https://brainly.com/question/24372153
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A company makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch. Suppose a random sample of n = 44 windows yields a sample mean of 0.337 inch.
Required:
What is the probability of x >= 20.337 if the windows meet the standards?
Answer:
0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch.
This means [tex]\mu = 0.325, \sigma = 0.065[/tex]
Sample of 44
This means that [tex]n = 44, s = \frac{0.065}{\sqrt{44}}[/tex]
What is the probability of x >= 0.337 if the windows meet the standards?
This is 1 subtracted by the p-value of Z when X = 0.337. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.337 - 0.325}{\frac{0.065}{\sqrt{44}}}[/tex]
[tex]Z = 1.225[/tex]
[tex]Z = 1.225[/tex] has a p-value of 0.8898
1 - 0.8898 = 0.1102
0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.
multiply 9 with 3.4? what will be the answer
PLEASE HELP ME FAST
[tex]\boxed{30.6}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]9 \times 3.4 \\ = 30.6[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Find the value of x.
71
O
(16x-2)
x=
Answer:
x = 9
Step-by-step explanation:
m<K = 71°
arc JL = 16x - 2
m<k = ½(arc JL) => inscribed angles theorem
Substitute
71 = ½(16x - 2)
Multiply both sides by 2
71*2 = 16x - 2
142 = 16x - 2
Add 2 to both sides
142 + 2 = 16x - 2 + 2
144 = 16x
Divide both sides by 16
144/16 = 16x/16
9 = x
x = 9