Answers
The volume of the square base pyramid is 588 ft³
The Volume of the rectangular prism is 120 ft³
The Volume of a rectangular pyramid is 360 ft³
What is volume of a shape?Volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.
Volume of a square base pyramid = 1 / 3 × B × h
where
B = base area
Therefore,
Volume of a square base pyramid = 1 / 3 × 7² × 12
Volume of a square base pyramid = 1764 / 3 = 588 ft³
Volume of a rectangular prism = lwh
Volume of a rectangular prism = 6 × 5 × 4 = 120 ft³
Volume of a rectangular pyramid = 1 / 3 lwh
Volume of a rectangular pyramid = 1 / 3 × 10 × 12 × 9 = 1080 / 3 = 360 ft³
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Related Questions
Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2. His sample size is 7 with a mean of 93. 5. Which of the following correctly depicts the z-statistic for this data? 0. 28 0. 36 1. 98 2. 63.
Answers
The value of the z statistic for the considered data is given by: Option C: 1.98 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = sThen, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]
If the sample standard deviation is not given, then we can estimate (in some cases) it by:
[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
where [tex]\sigma[/tex] = population standard deviation
For this case, we're specified that:
Sample mean = [tex]\overline{x}[/tex] = 93.5Sample size = n = 7Population mean = [tex]\mu[/tex] = 92Population standard deviation = [tex]\sigma[/tex] = 2Thus, the value of the z-statistic is evaluated as:
[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{93.5 - 92}{2/\sqrt{7}} \approx 1.98[/tex]
Thus, the value of the z statistic for the considered data is given by: Option C: 1.98 approximately.
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Find the slope of the line y=7x–6.
Answers
Answer:
slope: 7
y-intercept: (0,−6)
Step-by-step explanation:
the students in mr reed's english class are reading the same 760 page novel. Three friends alice, bob and chandra, are in the class. Alice reads a page in 20 seconds, bob reads a page in 45 seconds and chandra reads a page in 30 seconds. Before chandra and bob start reading. Alice says she wants to team read with them. If they divide the book into three sections so that each reads fore the same amount of time, how many seconds will each have to read?
Answers
Answer:
please rate and mark as brainlest.
Step-by-step explanation:
alice will have 5067 seconds,
bob will have 11400 seconds
chandra will have 7600 seconds.
first, divide 760 by 3 to get 253.33, then just multiply each value of seconds for each person to get their value, and round.
please rate and mark as brainlest.
PLEASE HELP ASAP
EVERYTHING NEEDED IS IN THE PIC BELOW
Answers
Answer:
37.69
Step-by-step explanation:
There are 3 circles
Circle A ( radius = 6 cm )
Circle B ( radius = 4 cm )
Circle C ( radius = 2 cm )
the circumference of a circle is C = 2 Pi x r
from each circle we need half of the circumference
Circle A : P = 2pi x 6 / 2 = 6 pi
Circle B : P = 2pi x 4 / 2 = 4 pi
Circle C : P = 2pi x 4 / 2 = 2 pi
the perimetee of the shaded shape is = 6 pi + 4 pi + 2 pi = 12 pi = 37.69 cm
convert 15cm ^ 3 into m * m ^ 3
Answers
Answer:
15 ×10^-6
Step-by-step explanation:
1 m = 100 cm
1m^3 = 100^3 cm^3
1m^3 = 1×10^6 cm^3
15 cm^3 = 15 / 1×10^6 = 15×10^-6 m^3
Which of the following rational functions is graphed below?
110
- 10
10
Iho-
O
A. F(x) = 3/x
B. F(x) = х/X + 3
O c. F(x) = x-3/x
D. FX) = x/3
Answers
Hope this helped.
The given graph is of the rational number f(x)=1/x(x-3)
What is rational numbers ?All the numbers which are in the form of p/q where q is not equal to zero is known as rational numbers.
here, we have,
Which function represents the given graph :
The given graph represents the function f(x)=1/x(x-3)
Since the value of x can never be equals to zero in this function as graph is representing.
Hence option (b) f(x)=1/x(x-3) is the correct answer.
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Learning Task 1: Solve and check. Write your answers on a separate sheet of paper.
1. X + 5 = 2
2. X – 10 = 22
3. 3n / 6= 7
4. 96 – 4x = -28
5. 2x/ 3= 10
6. 5y – 2 = 18
7. -32 = 15 + d
8. H/5 = 8
9. 2/4 – 7 = 35
10. 453 + 364 + d = 1000
Pasagot po pls
Answers
Answer:
hello
[tex]x + 5 = 2\\x = 2 - 5\\x = - 3 \\\\x - 10 = 22\\x = 22 + 10 \\x = 32 \\\\3 n /6 = 7 \\3 n = 42\\n = 14\\\\96 - 4 x = - 28\\- 4 x = - 28 - 96\\- 4 x = - 124\\x = 31\\\\2 x /3 = 10 \\2 x = 30\\x = 15 \\\\5 y - 2 = 18\\5 y = 18 + 2\\5 y = 20\\y = 20/5 = 4 \\\\- 32 = 15 + d \\- d = 15 + 32\\- d = 47\\d = - 47 \\[/tex]
[tex]h /5 = 8 \\h = 40 \\\\453 + 364 + d = 1 000\\d = 1 000 - 817\\d = 183\\\\[/tex]
Step-by-step explanation:
Help I have to put it in simplest exponential form I don't know the answer
Answers
Answer:
Step-by-step explanation:
In exponent multiplication, if bases are same, add the exponents.
[tex]a^{m}*a^{n}=a^{m+n}\\\\\\(-5)^{3}*13^{-2}*(-5)*13^{9}= (-5)^{(3+1)}*13^{(-2+9)}\\\\\\= (-5)^{4}*13^{7}[/tex]
Find the coordinates of the midpoint of CD with endpoints C(-3,7) and D(3,-7).
Answers
Answer:
(0, 0) are the coordinates of the mid point
Step-by-step explanation:
[tex]coordinate \: of \: mid \: point \: = \\ ( \frac{x1 + x2}{2} \: \: \: \: \frac{y1 + y2}{2} ) \\ ( \frac{ - 3 + 3} {2} \: \: \: \: \: \: \: \frac{7 + - 7}{2} ) \\ ( \frac{0}{2} \: \: \: \: \: \: \: \: \frac{0}{2} ) \\ (0 \: \: \: \: \: \: \: \: \: \: \: 0)[/tex]
write an absolute value equation in the format lx-bl=c (where b is a number and c could be both a number or expression) with one solution x=-3
Answers
An absolute value always has to be positive so b can be any number.
b= c= Please help asap
Answers
and c = 160°
b is equal to the given angle, b = 20°
c is 180 - 20 = 160°
prove that
[tex] \frac{1 }{ \sin(x) \times \cos(x) } [/tex]
equals 2csc2x
Answers
Answer:
See below for proof
Step-by-step explanation:
[tex]2csc(2x)\\\\2[\frac{1}{sin(2x)}]\\ \\2[\frac{1}{2sin(x)cos(x)}]\\ \\\frac{2}{2sin(x)cos(x)}\\ \\\frac{1}{sin(x)cos(x)}[/tex]
Thus, the identity is proven
To turn a decimal into a percent you move the decimal 2 spaces to which direction.
Answers
Answer:
Right
Step-by-step explanation:
You move the decimal to the right to make the decimal a whole number :)
Example below:
0.25
Move 2 places to the right
25%
Have a great day!!
Please rate and mark brainiest!!
Answer: You move the decimal point two spaces to the right.
Step-by-step explanation:
Multiply by 100.
Help?? It's for calc.
Answers
Answer:
the answer is 1.258
Answer:
1.258
Step-by-step explanation:
-
Use inverse operations to write the inverse of f(x) = x +
3/2
Answers
Answer:
I believe the correct answer is f^-1 (x) = x - 3/2
find the total surface area of the net below.
Answers
Answer:
78,4 cm^2
Step-by-step explanation:
I did this in my head so i could be wrong but im pretty certain this is right
Given m||n, find the value of x.
PLEASE ANSWER ASAP
WILL GIVE BRANLIEST
Answers
Since the horizontal lines are parallel, we can set the angles equal to each other. So...
7x - 1 = 8x - 14
Solving for x...
x = 13
Assume that the following data were generated using a valid and appropriate methodology. XYZ Data Analytics, Inc. Received properly completed surveys from 523 members of the target population for a new product. One hundred seventy nine of those respondents indicated they would buy the new product at the proposed price
Answers
Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
179 out of 523 members indicated they would buy the new product at the proposed price, hence:
[tex]\pi = \frac{179}{523} = 0.3423[/tex]
Then the bounds of the interval are found as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830[/tex]
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someone, please help me out with these two problems, it's trig.
Answers
Answer:
2nd problem
The sum of the angles of the triangle is 180°.
B= 90°
3y - 2x = -15 and x = -6y
Answers
Answer:
X=6, Y=-1
Solved using substitution
Answer:
[tex]y = - 1[/tex]
Step-by-step explanation:
[tex]3y - 2( - 6y) = - 15 [/tex]
Simplify both sides
[tex]3y + 12y = - 15[/tex]
Combine Like terms
[tex]15y = - 15[/tex]
Divide both sides by 15
[tex]y = - 1[/tex]
1. What is the volume, in cubic feet, of a rectangular solid with a length of 12 feet, a width of
3 feet, and a height of 4 feet?
Answers
Answer: 144 Cubic Feet
Explanation: Multiply all of your numbers together to get your volume.
Numbers : Length(12) x Width(3) x Height(4) = 144 cubic feet.
I hope this helps you! :)
help one of these qtns pls
Answers
Answer:
(a) 3x + 4 = 2x + 1
3x - 2x = 1 - 4
x = -3
Step-by-step explanation:
To solve for 'X', you must move all 'x' to the left-hand side, as seen through the working out. To balance it, you move all the lone numbers without (constants) to the right. Remember: when you move values across the 'equals' sign, the sign of the value you are moving becomes switched. For example, if you're moving 3x + 1 = 0 and you wish to move 1 to the other side, it becomes 3x = 0 ( - 1).
Bruce and his family arrived at the beach at 10:28 a.m. on Saturday morning. They left their house 12 hours and 20 minutes before their arrival at the beach. What time did they leave their house?
Include am or pm in your answer.
help me pls
Answers
Answer:
10:48 pm will be your answer
Carter is considering two different jobs. Job A has a starting bonus of $300 and pays $12.50 an hour Job B has starting a bonus and pay that are represented by the equation
y=10z + 400, where y is the total amount earned and I is the number of hours worked Select all statements that are true
Job B has a larger starting bonus than Job A.
Job A pays more per hour than Job B.
Job A has a larger starting bonus than Job B.
Job B pays more per hour than Job A.
Answers
Answer:
Step-by-step explanation:
Job B has a larger starting bonus than Job A: true,
Job B pays 400, A pays 300.
Job A pays more per hour than Job B: true,
Job A pays 12.50 per hour, Job B pays 10 per hour.
Which expression converts startfraction pi over 4 endfraction radians to degrees?
Answers
Using the degree and radian relation π/4 radian equals 45°.
Given angle =π/4 radian
What is the relation between radian and a degree?π radian equals 180 degrees means 1 radian equals 180/π degree or we can say 1-degree equals π/180 radian.
Since, 1 radian equals 180/π degree.
So, π/4 radian =180/π * π/4 degree.
π/4 radian = 45°.
So, π/4 radian equals 45°.
Therefore, using the degree and radian relation π/4 radian equals 45°.
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determine if the relationships are linear and if so are they proportional
Answers
Vertex ( 0, 2 )
Focus : ( 0, 7/4 )
Axis of symmetry : x = 0
Directrix : y = 9/4
f(x)
-6
Which is a possible turning point for the continuous
function f(x)?
-4
Х
-4
-3
-2
-1
0
1
2
ООО
(-3, 4)
O (-2,-1)
(0, -5)
(1, -8)
-1
-2
-5
-8
-16
Answers
Answer:
-5
Step-by-step explanation:
because 6-1=-5 therefore the is -5
The possible turning point for the continuous function f(x) is (-2, -1)
What is the turning point of a function?A stationary point is called a turning point if the derivative changes sign (from positive to negative, or vice versa) at that point.
There are two types of turning point:
A local maximum, the largest value of the function in the local region. A local minimum, the smallest value of the function in the local region.
Given are the coordinates of a function,
We need to find the turning point of the same,
Since we know that the function of the graph is continuous, then (-2, -1) is the most likely turning point because at this point the function stops increasing and starts decreasing.
Hence, the possible turning point for the continuous function f(x) is (-2, -1)
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The complete question is attached
What is the length of the hypotenuse of the triangle?
Triangle A B C. Side A C is 7 feet and side C B is 4 feet. Hypotenuse A B is unknown.
StartRoot 22 EndRoot ft
StartRoot 33 EndRoot ft
StartRoot 57 EndRoot ft
StartRoot 65 EndRoot ft
Answers
Answer:
The last answer [tex]\sqrt{65}[/tex]
Step-by-step explanation:
[tex]7^2+4^2 = 65[/tex]
The formula to find it is [tex]a^2+b^2=c^2[/tex]
so [tex]\sqrt{65}[/tex] is correct
Answer:
√65 ft (Option D)⠀
Step-by-step explanation:
This is Right Angled Triangle.⠀
We'll solve this using the Pythagorean Theorem.
⠀
AC = 7ft which is the Base. BC = 4 ft which is the Perpendicular. AB is the Hypotenuse.
⠀
We know that,
[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} = (AC) {}^{2} + ( BC) {}^{2}}}[/tex]
⠀
[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = (7) {}^{2} + ( 4) {}^{2}}}[/tex]
⠀
[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 49 + 16}}[/tex]
⠀
[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 65}}[/tex]
⠀
[tex]{ \longrightarrow \sf {\pmb {\qquad \: AB}}} = \pmb{ \frak{\sqrt{65}}}[/tex]
⠀
Therefore,
The length of the Hypotenuse (AB) is √65 ftPLEASEEEE HELP ME ILL GIVE YOU BRAINIEST!!
Answers
Answer:
48 in³
volume of triangular prism: Base Area * HeightBase Area:
[tex]\hookrightarrow \sf \dfrac{1}{2} *base*height[/tex]
[tex]\hookrightarrow \sf \dfrac{1}{2} *3*8[/tex]
[tex]\hookrightarrow \sf 12 \ in^2[/tex]
Volume:
[tex]\hookrightarrow \sf 12 * 4[/tex]
[tex]\hookrightarrow \sf 48 \ in^3[/tex]
I need help making a proof for geometry! Here is the question…
There are 2 parts I have to make a proof and then I also have to find the measures of AB and AC!
Answers
Answer:
Step-by-step explanation: