Answers
ANSWER
[tex]Volume = 480.0{cm}^{3} [/tex]
EXPLANATION
The volume of the square pyramid is given by;
[tex]Volume = \frac{1}{3} {l}^{2} \times h[/tex]
Where l=12cm is the length of the square base and h=10cm is the height of the pyramid.
We substitute the values into the formula to get;
[tex]Volume = \frac{1}{3} \times {12}^{2} \times 10 {cm}^{3} [/tex]
This simplifies to,
[tex]Volume = \frac{1}{3} \times {12} \times 12\times 10 {cm}^{3} [/tex]
[tex]Volume = 4 \times 12\times 10 {cm}^{3} [/tex]
[tex]Volume = 480.0{cm}^{3} [/tex]
Third option is correct.
Answer:
The correct option is 3.
Step-by-step explanation:
The volume of a square pyramid is
[tex]V=\frac{1}{3}(\text{Base area})h[/tex]
[tex]V=\frac{1}{3}a^2h[/tex] .... (1)
Where, a is th side of base and h is the height of pyramid.
From the given figure it is clear that the height of the pyramid is 10 cm and the length of base is 12 cm.
Substitute a=12 and h=10 in equation (1), to find the volume of the square pyramid.
[tex]V=\frac{1}{3}\times (12)^2\times (10)[/tex]
[tex]V=\frac{1}{3}\times (144)\times (10)[/tex]
[tex]V=(48)\times (10)[/tex]
[tex]V=480[/tex]
The volume of pyramid is 480 cm³. Therefore the correct option is 3.
Related Questions
Janie has 12 pieces of 8 pieces of fruit are bananas
Answers
Answer:
2/3 of the fruits are bananas. :)
Step-by-step explanation:
How much more would $5,656.30 earn in 5 years, compounded monthly at 4.1%, when compared to the interest on $5,656.30 over 5 years, at 4.1% compounded quarterly?
Answers
Answer:
[tex]\$4.81[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
step 1
in this problem we have
[tex]t=5\ years\\ P=\$5,656.30\\ r=0.041\\n=12[/tex]
substitute in the formula above
[tex]A=\$5,656.30(1+\frac{0.041}{12})^{12*5}=\$6,940.82[/tex]
step 2
in this problem we have
[tex]t=5\ years\\ P=\$5,656.30\\ r=0.041\\n=4[/tex]
substitute in the formula above
[tex]A=\$5,656.30(1+\frac{0.041}{4})^{4*5}=\$6,936.01[/tex]
step 3
Find the difference
[tex]\$6,940.82-\$6,936.01=\$4.81[/tex]
Match the measureable quantity giving by its formula with the appropriate unit(s)
volume =(length)(width)(height)
area = (length)(width)
speed= distance/time
perimeter=2 (length)+2 (width)
cubic centimeters
square meter
meter per second
meter
Answers
Answer:
See explanation
Step-by-step explanation:
Volume is three dimensional so it is measured in cubic units
Volume =(length)(width)(height) [tex]\to[/tex] cubic centimeters
Area is two dimensional, it is measured in square units.
Area = (length)(width) [tex]\to[/tex] square meter
Speed is derived from two basic quantities (length and time). It is measured is meters per seconds.
Speed= distance/time [tex]\to[/tex] meter per second
Perimeter is distance around an object. It is measured in meters
Perimeter=2 (length)+2 (width) [tex]\to[/tex] meter
Matching Quantities with Units
a bag of cement mix has a mass of 15.6 kilograms which number sentence will tell how many grams of mass the bag of cement mix has
A 15.6 x 1,000
B15.6 ÷ 100
C15.6 ÷1,000
D15.6 x 100
Answers
Answer:
Option A. 15.6 x 1,000
Step-by-step explanation:
we have that
A bag of cement mix has a mass of 15.6 kilograms
Remember that
1 kg=1,000 g
Convert Kg to g
15.6 kg=15.6*1,000=15,600 g
Which expression can be used to determine the reference angle for an angle, x, measuring 150°?
Answers
Answer:
To find the reference angle measuring x for angle in Quadrant II the formula is:
180° - x = 180° - 150° = 30°
Answer: the reference angle is 30°
The expression we can use to determine the reference angle for an angle, x, measuring 150° is 180°-X=150°
⇒ X=180°-150°
What is the angle? In geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. angles mean “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex.An angle is formed when two straight lines or rays meet at a common endpoint.Learn more about angle here:-https://brainly.com/question/25716982
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If someone could help me with this it would be much appreciated as it is gcse practise and I don’t get it
Answers
Answer:
Bryan's answer is wrong because when we calculate the equation, the product will not be 36, since 2³ will be equal to 8, and 3² will be equal to 9, the product of 8 and 9 is 72, twice as much as the result we needed.
The correct equation here should be: 2² × 3² = 36
2² × 3² = 4 × 9 = 36
SHORT ANSWER: 36
HOPE IT HELPS LOVE.
From the sum of 5 – 9i and -4 + 7i, subtract 14 – 3i. A. -13 + i B. -13 – 5i C. 13 – i D. 13 + 5i E. 13 – 5i
Answers
Answer:
A because the sum of 5 - 9i and -4 + 7i is 1 - 2i. And if you subtract 14 - 3i out of that, then you get -13 + i.
If the coordinates of the points D,E,F,G, and H are -3,-6,8,11 and 13 respectively which segment is the longest
Answers
To determine the longest segment, we calculate the distances between the given points using the distance formula. The longest segment is DE with a distance of approximately 21.43 meters.
Explanation:To determine which segment is the longest, we need to find the distance between each pair of points. Using the distance formula, we can calculate the distance between points D and E, points E and F, points F and G, and points G and H. By comparing these distances, we can determine which segment is the longest.
D = sqrt((-3 - 8)^2 + (-6 - 11)^2) = sqrt(169 + 289) = sqrt(458) ≈ 21.43
E = sqrt((8 - 13)^2 + (11 - 13)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39
F = sqrt((13 - 8)^2 + (13 - 11)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39
G = sqrt((8 - -3)^2 + (11 - 13)^2) = sqrt(121 + 4) = sqrt(125) ≈ 11.18
H = sqrt((13 - -3)^2 + (13 - 11)^2) = sqrt(256 + 4) = sqrt(260) ≈ 16.12
The longest segment is DE with a distance of approximately 21.43 meters.
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Find x and y. Please write your answer in simplified radical form.
Answers
Answer:
see explanation
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{y}[/tex]
Multiply both sides by y
y × sin30° = 6 ( divide both sides by sin30° )
y = [tex]\frac{6}{sin30}[/tex] = [tex]\frac{6}{\frac{1}{2} }[/tex] = 12
---------------------------------------------------------------------------------------
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex]
Multiply both sides by y ( y = 12 )
12 × cos30° = x
x = 12 × [tex]\frac{\sqrt{3} }{2}[/tex] = 6[tex]\sqrt{3}[/tex]
Mrs. Montoro's class is participating in the Math Olympics. Each week of the quarter, a challenging math question is posted, and the students individually try to correctly answer the question. The results of the Math Olympics are shown in the dot plot below.
Which of the following statements describe the distribution in the dot plot?
(choose all that is correct)
1. The mean is 5 questions answered correctly
2. most students answered between 3 and 6 questions correctly
3. the median is 5 questions answered correctly
4. the median is 4.5 questions answered correctly
5. most students answered between 5 and 7 questions correctly
6. the mean is 4.5 questions answered correctly
7. the students answered between 1 and 9 questions correctly
Answers
Answer: The correct answers are 1, 2, 4, 7
Step-by-step explanation:
Work for each problem:
1.) 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9 Median: 5 * 2 = 10 / 2 = 5
2.) Correct: The most answers were answered between the numbers 3 and 5.
3.) 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9 (add all) = 108 / 24= 4.5
Answer:
the correct answers are
2. most students answered between 3 and 6 questions correctly
3. the median is 5 questions answered correctly
6. the mean is 4.5 questions answered correctly
7. the students answered between 1 and 9 questions correctly
Step-by-step explanation:
for #2-the shape of the data, more than half of the data lies between #3 and #6..so Most students answered between 3 and 6 questions correctly.
for #7-the lowest # of questions answered correctly is 1 and the highest # of questions answered is 9; so it makes Students answered between 1 and 9 questions correctly
give me a list of factors for 50?
Answers
Answer:
1, 2, 5, 10, 25, 50
Step-by-step explanation:
What is the value of x
Answers
Answer:
Step-by-step explanation:
30, the angle is worth 180 and 180-40=140. 140-20=120. 4*30=120
Answer:
x=30
Step-by-step explanation:
4x+20+40=180
4x+60=180
4x=180-60
4x=120
4x/4
120/4
=30
PLZZZZZ make me brainliest!!
Sorry for all the late night / early morning questions running on three days with little sleep trying to graduate
Answers
Answer:
measure of angle R is 75.897° or 75.90°.
Step-by-step explanation:
To solve use the formula Sin A/ a= Sin B/ b. our angle A is 52°, opposite it is side a so 26. Let angle R be our B so opposite it is b which measure 32.
sin 52°/26 = Sin B/32, cross multiply
32 (sin 52°) = 26 Sin B, multiply both side by 1/26
32 (sin 52°)/26 = Sin B
32 (0.78880107536...)/26 = Sin B
0.969593891... = Sin B
Sin^-1 (0.969593891..) = B
B = 75.89703075 or Angle R is 75.90°
What is the area of the trapezoid below? 30 POINTS!!!
Answers
Answer:
180 units²
Step-by-step explanation:
Let's find the length of the dashed line (which is the length of the trapezoid). Use the Pythagorean Theorem:
7² + h² = 25², or h² = 625 - 49 = 576. Thus, h = √576 = 24.
The average width of the trapezoid is:
(7+4) + 4
w = ---------------- = 15/2
2
The area of a trapezoid is (average width of trapezoid)(length of trapezoid), and here that comes to:
15
A = -------- * 24 = 180 units²
2
Hope this help!!!
Have a nice day!!!
Jana has to solve a system of equations that contains an exponential function and a linear function. She decides to solve graphically and the graph she obtained is shown.
Is the complete solution shown? Why or why not?
A) Yes, since one of the equations is linear the two functions can only intersect once and the intersection point is shown.
B) Yes, since the slope of the line is not as great as the rate of change of the exponential the y-values will be greater and they will only intersect one time.
C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.
D) No, even though the line has a smaller rate of change initially than the exponential, eventually the exponential will have to have a smaller rate of change than the linear since they are the fastest growing functions. Given that there must be at least one more intersection point somewhere near y = -1.
Answers
Answer:
If this is USATestPrep the answer is C
Step-by-step explanation:
Answer:
Option C is right.
Step-by-step explanation:
Jana has to solve a system of equations that contains an exponential function and a linear function.
C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.
Exponential will eventually exceed all other functions as they are the fastest growing functions.
6. Alex wants to buy a shirt that
costs $35.00.
• The store is having a 30%-off
sale.
• The sales tax for clothing is 6%.
How much will Alex pay for the
shirt?
Answers
Answer: 25.97
Explanation:
First you take 100-30=70
Then 70/100= 0.70
Multiply 0.70 by 35 give you 24.5
Than take 6% this time you will just divide by 100 so will be 6/100=0.06 how you are adding have put 1 in front that will result 1.06
Than take 24.5 multiply by 1.06 and get 25.97
Answer:
Hello, thank you for choosing Brainly to ask your question.
First, we have to find out what would 30% of 35 is.
To answer that, just use a common calculator or find out what 10% of it is and keep adding up.
So, 30 percent of 35 is 10.5.
Next, we have to find out what 6% of 24.50 is.
To find out the answer, you have to really use a calculator to find out. It would be way simpler and easier.
So, open your calculator. Then do "24.50 multiplied by 6%"
We are left with 1.47.
Now add 1.47 to 24.50. Your final answer is 25.97.
Have a good day and I hope I helped.:D
Determine the ordered pair that satisfies the equation, 7x-1y=8
Answers
The ordered pairs that satisfy the equation 7x - y = 8 include (1,-1) and (9/7, 1).
Explanation:To find an ordered pair that satisfies the equation 7x - y = 8, we can choose a value for either x or y and then solve the equation for the other variable. For example, if we choose x = 1, we substitute this into the equation to find the corresponding y value: 7(1) - y = 8 which simplifies to y = -1. Thus, the ordered pair (1, -1) is a solution to the equation. Another solution could be found by choosing y = 1 and solving the equation for x: 7x - 1 = 8, which gives x = 9/7. Thus, the ordered pair (9/7,1) is also a solution to the equation.
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To determine the ordered pair that satisfies the equation, rearrange the equation to solve for y. Plug in different values for x to find corresponding values for y.
Explanation:To determine the ordered pair that satisfies the equation 7x-1y=8, we need to solve for y.
Rearranging the equation, we get y=7x-8. This equation represents a linear relationship, where the value of y depends on the value of x.
By plugging in different values for x, we can find corresponding values for y.
For example, when x=0, y=(-8).
So the ordered pair that satisfies the equation is (0, -8).
Learn more about Linear equations here:https://brainly.com/question/32634451
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Lance's shoe collection is made up of Nike's and Adidas. Altogether , he has 17 pairs of shoes, but he has 3 more Nikes than he has Adidas. How many does he have of each pair?
Write two equations
state your solution
Answers
Answer:
Adidas pairs are 7, nikes are 10
Step-by-step explanation:
10n+7a=shoes total
7x+3=Nikes x=7
I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fill? Do not round your answer.
Answers
Answer:
[tex]72\pi\ in^{3}[/tex]
Step-by-step explanation:
step 1
Calculate the volume of the cylinder (flower vase)
The volume is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=6/2=3\ in[/tex] -----> the radius is half the diameter
[tex]h=12\ in[/tex]
substitute the values
[tex]V=\pi (3)^{2}(12)=108\pi\ in^{3}[/tex] ------> exact value
step 2
Calculate 2/3 of the volume
[tex]V=(2/3)108\pi=72\pi\ in^{3}[/tex]
HWKAGDAW WJQWIUHYEWLAHC AIUOLHAJLSIA
Answers
Answer:
BVLJFBGEJOOEUUUUUUUUVWRBTOUGNJWWHBH
Step-by-step explanation:
Which equation represents a proportional relationship? A) y = 3x 4 B) y = 3 4x C) y = 3x 4 + 1 D) y = 3 4x + 1
Answers
Answer:
A. y = 3x/4
Step-by-step explanation:
a proportional relationship between x and y is a straight line passing through the origin (0, 0).
The equation must be in the form y = kx.
y = 3x/4
y = 3/4x
Answer:
y=3x/4
Step-by-step explanation:
Which form of payment can you lose and NOT get your money back?
Debit Card
Credit Card
Check
Cash
Answers
Answer:
cash
Step-by-step explanation:
You cannot get your money back once you lose cash since it's not connected to any bank or financial institution, unlike debit cards, credit cards, or checks.
Explanation:The form of payment that you can lose and not get your money back is cash. When you lose cash, there is no way to trace it or stop it like you can with a check, debit, or credit card. This is because cash is not linked to any banking or financial institution, so no protections are in place to recover lost or stolen cash. On the other hand, if you lose a debit card, credit card, or check, you can immediately inform your bank or card issuer to freeze your account or cancel the check, thereby protecting your money.
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Don’t understand this question pllsss helppp
Answers
Answer:
A. -50
Step-by-step explanation:
The question is asking you to find the Y point as they gave you the X.
(0,-50). -50 on the y-axis explains the x of 0. If you though it was 14 or -6, it is not because they have the x of -6 and the y of 0.
Answer:
C. 14
Step-by-step explanation:
The given graph represents a polynomial function r(x).
We want to find an x-value that satisfies
r(x)=0.
The solution to the function whose graph is shown are the x-intercepts of the graph.
We can read from the graph that, the x-intercepts are;
[tex]-6[/tex] and [tex]14[/tex].
Hence the solutions are x=-6 and x=14.
From the given options a solution to r(x) is 14.
The correct choice is C
A sample of a population of 100 students is collected. Five students playing dodge ball at recess are asked if they prefer playing outdoors or indoors. Which of the following is not true of the sample?
The sample is not large enough.
The question is biased.
The sample is not random.
The students are not part of the population.
Answers
Answer:
D. The students are not part of the population
Step-by-step explanation:
The first three options are true of this sample. D is the only option that is not true.
Answer:
The students are not part of the population.
Step-by-step explanation:
Need help please brainliest and 50 points
Answers
The slope is 2/-2, so -1. The y-intercept is 2. So, y=-x+2
A spherical boulder is 14 ft in diameter and weighs almost 6 tons. Find the volume. Use 3.14 for pi.
Answers
To find volume, we will use the following equation: V=4/3piR^3
The correct answer should be 1436.76
The volume of the spherical boulder will be 1,436.027 cubic feet.
What is the volume of the sphere?Let r be the radius of the sphere. Then the volume of the sphere will be given as,
V = 4/3 πr³ cubic units
A spherical boulder is 14 ft in diameter. Then the radius is calculated as,
r = d / 2
r = 14 / 2
r = 7 feet
Then the volume of the spherical boulder is calculated as,
V = 4/3 πr³
V = 4/3 x 3.14 x 7³
V = 1,436.027 cubic feet
The volume of the spherical boulder will be 1,436.027 cubic feet.
More about the volume of the sphere link is given below.
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a number cube is rolled and a coin is tossed what is the probability that a number greater than four is rolled and the coin comes up heads
Answers
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
In probability, "AND" means "multiplication" and "OR" means "addition".
Here, we are looking for probability of number greater than 4 "AND" probability of heads
so we find the individual probabilities and "multiply".
There are 6 numbers in a cube and number greater than four are 5 & 6, so 2 numbers. Hence
Probability of number greater than 4 is 2/6 = 1/3
Now,
In coin there is only head and tail, so probability of coming up heads is 1/2
Now we multiply both:
1/3 * 1/2 = 1/6
Hence
probability that a number greater than four is rolled and the coin comes up heads is 1/6
What is the value of u, v, w, x, and y?
Answers
Answer: The required values are
u = 140, v = 28, w = 40, x = 40 and y = 20.
Step-by-step explanation: We are given to find the values of u, v, w, x and y from the figure shown.
We see that
the lines AB and CD are parallel to each other and PS is a transversal.
So, we must have
[tex]u^\circ=140^\circ~~~~\textup{[alternate interior angles]}\\\\\Rightarrow u=140.[/tex]
Now, we also have
[tex]u^\circ=5v^\circ~~~~~\textup{[vertically opposite angles]}\\\\\Rightarrow u=5v\\\\\Rightarrow 140=5v\\\\\Rightarrow v=\dfrac{140}{5}\\\\\Rightarrow v=28.[/tex]
Now, from the property of linear pair, we get
[tex]u^\circ+x^\circ=180^\circ\\\\\Rightarrow u+x=180\\\\\rightarrow 140+x=180\\\\\Rightarrow x=180-140\\\\\Rightarrow x=40.[/tex]
Since angles of measure w° and x° are alternate interior angles, so
[tex]w^\circ=x^\circ=40^\circ\\\\\Rightarrow w=40.[/tex]
Again, by using the property of linear pair, we get
[tex]2y^\circ+140^\circ=180^\circ\\\\\Rightarrow 2y+140=180\\\\\Rightarrow 2y=40\\\\\Rightarrow y=\dfrac{40}{2}\\\\\Rightarrow y=20.[/tex]
Thus, the required values are
u = 140, v = 28, w = 40, x = 40 and y = 20.
Find the volume of a rectangular prism that is 8 inches high, 12 inches long, and 5 inches wide.
A
360 in.³
B
480 in.³
C
420 in.³
D
240 in.³
Answers
Answer:
B 480 in.³
Step-by-step explanation:
Volume of a rectangular prism is given by
V = l*w*h
V = 8*12*5
V =480 in ^3
What is the average rate of change of the function over the interval x = 0 to x = 8?
f(x)=3x+4
2x+7
Answers
Answer:
if f(x) = 3x+4, the rate of change is 4.
if f(x) = 2x+7, the rate of change is 2.
Step-by-step explanation:
We know that the average rate of change over the interval x=0 to x=8 is:
(f(x2) - f(x1))/x2-x1
Where:
x2 = 8
x1 = 0
if f(x) = 3x+4
so f(8)=3(8)+4 = 28
f(0)=3(0)+4 = 4
Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3
On the other hand, if f(x) = 2x+7
f(8) = 2(8)+7 = 23
f(0) = 2(0)+7 = 7
Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2