A square prism has a base length of 5 m, and a square pyramid of the same height also has a base length of 5 m. Are the volumes the same? A. Yes, because the heights are the same, and the cross-sectional areas at every level parallel to the bases are also the same. B. Yes, because the figures are congruent. C. No, because only the bases have the same area, not every cross section at every level parallel to the bases. D. No, because the heights are not the same.
The statement that correctly answers the question "A square prism has a base length of 5 m, and a square pyramid of the same height also has a base length of 5 m. Are the volumes the same?" is "No, because only the bases have the same area, not every cross-section at every level parallel to the bases."
Explanation: A square prism is a three-dimensional shape that has two square bases that are parallel to each other, and every side is a rectangle. In contrast, a square pyramid is a three-dimensional figure that has a square base and triangular faces that meet at a point called an apex or vertex. The height of a square pyramid is the distance from the base to the apex.
Therefore, the volume of a square prism can be calculated by multiplying the area of the base by the height, whereas the volume of a square pyramid can be determined by multiplying the area of the base by one-third of the height.
Thus, even though the base length is 5 m in both cases, the cross-sectional areas at every level parallel to the bases in a square pyramid are not the same. This implies that the answer is No, because only the bases have the same area, not every cross-section at every level parallel to the bases.
For more questions on: square pyramid
https://brainly.com/question/30615121
#SPJ8
Which of the rays or segments below is a chord of circle O?
A) ->
TC
B)—
SO
C)—>
TU
D)—
FC
The ray or segment that is a chord is (d) segment FC
How to determine the ray that is a chordFrom the question, we have the following parameters that can be used in our computation:
The circle
By definition, a chord is a straight line that joins points of the circle without passing through the center
The ray that has the above properties is ray FC
Hence, the segments that is a chord is (d) FC
Read more about circle at
https://brainly.com/question/32192505
#SPJ1
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Reason:
The order of ABCD and EFGH is important. This is because the letters pair up based on their position.
D and H pair up because they're the last letters of ABCD and EFGH respectively. Similar polygons have congruent corresponding angles.
Take note of how the angles are marked to indicate which angles pair up.
D = H
4x = 100
x = 100/4
x = 25
Answer:
25 is the answer by matching the equial sides
Step-by-step explanation:
100°/4=X
25=X
Write and solve an inequality that represents the number of gigabytes of data . G . You can use to stay under your budget of $130
Answer:
Sure, here is the inequality that represents the number of gigabytes of data (G) you can use to stay under your budget of $130:
```
cost_per_gb * G <= budget
```
where:
* cost_per_gb is the cost of data per gigabyte, which is $10 in this case
* G is the number of gigabytes of data
* budget is your budget, which is $130 in this case
To solve this inequality, we can first subtract cost_per_gb from both sides of the inequality. This gives us:
```
G <= budget / cost_per_gb
```
We can then plug in the values for cost_per_gb and budget to get:
```
G <= 130 / 10
```
```
G <= 13
```
This means that you can use up to 13 gigabytes of data and still stay under your budget. If you use more than 13 gigabytes of data, you will exceed your budget.
Here is a table that shows the cost of data for different amounts of data:
```
| Amount of data (G) | Cost (\$) |
|---|---|
| 1 | 10 |
| 2 | 20 |
| 3 | 30 |
| ... | ... |
| 13 | 130 |
| 14 | 140 |
| ... | ... |
```
Step-by-step explanation:
find the critical numbers of the function.
f(x)=x^2(x-3)^2
50 Points! Multiple choice geometry question. Photo attached. Thank you!
The length of the segment AD found using the triangle proportionality theorem is the option (B)
(B) = 4 1/2
What is the triangle proportionality theorem?The triangle proportionality theorem states that if a line drawn parallel to a side of a triangle, intersecting the other two points at two distinct point, then it will divide the two sides intersected in the same ratio.
The arrow markings indicates that the segment DE and ACV are parallel, therefore, according to the triangle proportionality theorem, we get;
8/12 = 3/AD
AD/3 = 12/8
AD = 3 × (12/8) = 4.5
AD = 4 1/2
Learn more on the triangle proportionality theorem here: https://brainly.com/question/27887351
#SPJ1
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
A. √2:2
B. √√3:√√3
C. √5:3
D. 1 √3
□ E. 1: √2
O F. 2:3
SUBMIT
Answer: E
Step-by-step explanation:
Help, please!
Brianna predicted that 16 puppies would be sold at the pet store on Saturday. However, only 9 were sold. What was Brianna's percent error?
Answer:
Percent error is calculated using the formula:
Percent Error = ( |Predicted Value - Actual Value| / Actual Value ) * 100%
Plugging in Brianna's prediction and the actual number of puppies sold:
Percent Error = ( |16 - 9| / 9 ) * 100%
The absolute value of (16 - 9) is 7, so the calculation becomes:
Percent Error = ( 7 / 9 ) * 100%
This is approximately 77.78%, which is Brianna's percent error in her prediction.
Jerry tries to find the measure of ABC His work is shown. Which statement describes Jerry's error? The picture shows a circle with a center O. Two chords, BA and BC are drawn from the same internal point, B. The angle of A is 135 degrees and C is 119 degrees.
Jerry's error is that he incorrectly assumes that the measure of angle ABC is equal to the sum of the measures of angles A and C. Hence Statement B is answer.
This is not true because angle ABC is an inscribed angle, which means its measure is half the measure of the intercepted arc.
In this case, the intercepted arc is AC. Since angle A measures 135 degrees and angle C measures 119 degrees, the sum of their measures is 254 degrees. However, angle ABC is not equal to 254 degrees.
To find the measure of angle ABC, we need to find the measure of arc AC. Since arcs A and C are equal in measure, we can find the measure of arc AC by subtracting angle A's measure (135 degrees) from the full circle measure (360 degrees).
Therefore, the measure of arc AC is 360 - 135 = 225 degrees. Since angle ABC is an inscribed angle, its measure is half the measure of arc AC, which is 225/2 = 112.5 degrees.
Hence Statement B is answer.
For more similar questions on inscribed angle
brainly.com/question/22962244
#SPJ8
Find the measure of UK
95°
T
99 °
U
87 R
S
?
K
Dylan's mom told him that she would replace each one of his dimes with a quarter. If he uses all of his coins, determine if Dylan would then have enough money to buy a game priced at $20.98 if he must also pay an 8% sales tax.
Joe worked 2 hours and packed 3 cartons. Bob worked 3 hours and packed 4 cartons. Who packed the most cartons per hour?
Answer:
bob
Step-by-step explanation:
Solve each equation for the angle in standard position, for 0° ≤ 0 < 360° (nearest tenth, if necessary).
a) tan 0 = 1 / √3
b) 2cos 0= √3
Answer:
Step-by-step explanation:
a) To solve the equation tan θ = 1/√3, we can find the angle whose tangent is 1/√3 by taking the inverse tangent (arctan) of 1/√3.
θ = arctan(1/√3)
θ ≈ 30.0°
Therefore, the angle in standard position that satisfies tan θ = 1/√3 is approximately 30.0°.
b) To solve the equation 2cos θ = √3, we can isolate the cosine term by dividing both sides of the equation by 2.
cos θ = √3 / 2
Now, we can find the angle whose cosine is √3/2 by taking the inverse cosine (arccos) of √3/2.
θ = arccos(√3/2)
θ ≈ 30.0°
Therefore, the angle in standard position that satisfies 2cos θ = √3 is approximately 30.0°.
One more question thank you
Answer:
Step-by-step explanation:
n=30
r=12
Plug into formula
you get:
1.7 in²
Find the probability that a randomly
selected point within the circle falls in the
red-shaded triangle.
12
12
P = [?]
Enter as a decimal rounded to the nearest hundredth.
Step-by-step explanation:
a probability is always the ratio of
desired cases / totally possible cases.
so, in this case it is the
area of the triangle / area of the circle.
as everything of the triangle is also a part of the circle.
and so, that fraction of the area of the whole circle that is the area of the triangle in refutation to the area of the whole circle is the probability that a random point inside the circle would be also inside the triangle.
the area of a right-angled triangle is
leg1 × leg2 / 2
in our case
12 × 12 / 2 = 72 units²
the area of a circle is
pi × r²
in our case that is
pi × 12² = 144pi units²
the requested probability is
P = 72 / 144pi = 1/2pi = 0.159154943... ≈ 0.16
Given the graphs of y = f(x) and y = g(x),
g(x) = f(x) +
expresses g(x) in terms of f(x)
The expression g(x) = f(x) + represents the relationship between the two functions expression for g(x) in terms of f(x).
To express the function g(x) in terms of f(x), we need to understand the relationship between the two functions.
The given expression g(x) = f(x) + indicates that the function g(x) is obtained by adding a certain value or expression to the function f(x). expression for g(x) in terms of f(x).
In general, if we have the function g(x) = f(x) + c, where c is a constant value, then g(x) can be expressed in terms of f(x) as:
g(x) = f(x) + c
In this case, g(x) is obtained by adding the constant value c to the corresponding values of f(x).
It's important to note that without additional information about the specific relationship between f(x) and g(x), such as a functional equation or given values, we cannot provide a more precise expression for g(x) in terms of f(x).
Therefore, the expression g(x) = f(x) + represents the relationship between the two functions expression for g(x) in terms of f(x).
for such more question on functions
https://brainly.com/question/16332322
#SPJ8
Answer: 3
Step-by-step explanation: just 3
Edge 2020
2.
Harry pours 650 cubic centimeters of water into cylindrical glass with a diameter of 10
centimeters. He then pours the water from the first glass to another cylindrical glass with a
diameter of 8 cm. How much higher did the water reach in the second glass than in the first
glass? Round to the nearest tenth of a centimeter.
agures of the
Answer:
113.1 is the answer. I used the arbitory height of 4 so the volume of both are now 314.16 and 201.06
314.16-201.06=113.1
Reduce this fraction to lowest terms 64/72
Answer: 8/9
Step-by-step explanation:
64/72 Divide both the top and bottom by 8
8/9
GEOMETRY 50POINTS
find x to the nearest hundredth.
TYSM
Answer:
It's 18.37
Step-by-step explanation:
I'm smart trust me.
On days when the temperature was less than 58
These are general considerations, and specific experiences may vary depending on geographical location, cultural practices, and individual preferences.
On days when the temperature was less than 58 degrees, it indicates that the weather was relatively cool. This could imply various conditions and experiences depending on the context and location. In general, some possible scenarios on such days may include:
Cooler outdoor activities: People might engage in activities such as hiking, jogging, or outdoor sports that are more enjoyable in cooler temperatures.
Layered clothing: Individuals may choose to wear warmer clothing, including jackets, sweaters, or scarves, to stay comfortable in the cooler weather.
Indoor activities: Cooler temperatures may encourage people to spend more time indoors, engaging in activities such as reading, watching movies, or pursuing hobbies.
Increased energy consumption: Cold weather often leads to an increased need for heating systems, resulting in higher energy consumption to maintain indoor comfort.
Changes in vegetation: Cooler temperatures can affect plant growth and flowering patterns. Certain plants may thrive in cooler conditions, while others may enter a dormant phase.
Changes in animal behavior: Some animals may adapt to cooler temperatures by seeking shelter or adjusting their activities and migration patterns.
Possible health effects: Cooler temperatures may impact individuals with certain health conditions, such as respiratory issues or joint pain, requiring them to take appropriate measures to stay comfortable.
These are general considerations, and specific experiences may vary depending on geographical location, cultural practices, and individual preferences.
for such more question on temperature
https://brainly.com/question/14820864
#SPJ8
The base of a triangle is 3 inches more than two times the height. If the area of the triangle is 7 in.² find the base and height.
Answer:
Let's denote the height of the triangle as "h" inches.
According to the given information, the base of the triangle is 3 inches more than two times the height. Therefore, the base can be expressed as (2h + 3) inches.
The formula to calculate the area of a triangle is:
Area = (1/2) * base * height
Substituting the given values, we have:
7 = (1/2) * (2h + 3) * h
To simplify the equation, let's remove the fraction by multiplying both sides by 2:
14 = (2h + 3) * h
Expanding the right side of the equation:
14 = 2h^2 + 3h
Rearranging the equation to bring all terms to one side:
2h^2 + 3h - 14 = 0
Now, we can solve this quadratic equation. We can either factor it or use the quadratic formula. In this case, let's use the quadratic formula:
h = (-b ± √(b^2 - 4ac)) / (2a)
For our equation, the values are:
a = 2
b = 3
c = -14
Substituting these values into the quadratic formula:
h = (-3 ± √(3^2 - 4 * 2 * -14)) / (2 * 2)
Simplifying:
h = (-3 ± √(9 + 112)) / 4
h = (-3 ± √121) / 4
Taking the square root:
h = (-3 ± 11) / 4
This gives us two possible solutions for the height: h = 2 or h = -14/4 = -3.5.
Since a negative height doesn't make sense in this context, we discard the negative solution.
Therefore, the height of the triangle is h = 2 inches.
To find the base, we substitute this value back into the expression for the base:
base = 2h + 3
base = 2(2) + 3
base = 4 + 3
base = 7 inches
Hence, the base of the triangle is 7 inches and the height is 2 inches.
Step-by-step explanation:
-The answer for the height is 5.5 units.
-The base of the triangle is aproximately 2.5454 units.
To answer this problem, you have to set an equation with the information you're given. If you do it correctly, it should look like this:
7=1/2(3+2h)
-Now, you have to solve for h:
7=1.5+h
7-1.5=h
5.5=h
-Now that you have the height, you plug it in into the triangle area formula to solve for the base:
7=1/2(b)5.5
7=2.75b
7/2.75=b
b≈2.5454
-To make sure that the corresponding values for the base and height are correct, we plug the values in and this time we are going to solve for a(AREA):
A(triangle)=1/2(2.5454)(5.5)
A=1/2(13.9997)
A=6.99985 square units
-We round the result to the nearest whole number and we get our 7, which is the given value they gave us.
Find the missing side. 27° y= ?] 11
Answer:
21.6
Step-by-step explanation:
Tan 27= 11
y
y×tan27=11
y=21.6
The answer is:
y = 21.6
Work/explanation:
We are asked to use SOH-CAH-TOA. But what does it mean?
SOH CAH TOASOH stands for Sine = Opposite ÷ Hypotenuse
CAH stands for Cosine = Adjacent ÷ Hypotenuse
TOA stands for Tangent = Opposite ÷ Adjacent
Since we do not have the hypotenuse, we will use the TOA ratio:
[tex]\sf{Tangent=\dfrac{Opposite}{Adjacent}}[/tex]
The opposite is 11, and the adjacent is y:
[tex]\sf{\tan27=\dfrac{11}{y}}[/tex]
Take the tangent of 27 & approximate it:
[tex]\sf{0.5095=11\div y}[/tex]
Multiply each side by y
[tex]\sf{0.5095y=11}[/tex]
Divide each side by 0.5095
[tex]\sf{y=21.6}[/tex]
Hence, y = 21.61. The initial odometer reading of a cab is 369 km. It travelled for 2 hours and the final odometer reading showed 469 km. Find the approximate average speed of the cab.
The approximate average speed of the cab is 50 km/h.
To find the approximate average speed of the cab, we can use the formula:
Average Speed = Total Distance / Total Time
Given that the initial odometer reading is 369 km and the final reading is 469 km, the total distance covered by the cab is:
Total Distance = Final Odometer Reading - Initial Odometer Reading
Total Distance = 469 km - 369 km
Total Distance = 100 Km.
The cab traveled for 2 hours, so the total time is:
Total Time = 2 hours
Now, we can substitute the values into the average speed formula:
Average Speed = Total Distance / Total Time
Average Speed = 100 km / 2 hours
Average Speed = 50 km/h
For similar question on average speed.
https://brainly.com/question/4931057
#SPJ8
peter is 24 years younger than his father. In 5 years time, his father will be 3 times as old as peter? a). how old is peter. b). how old will peter's father be in 25 year's time?
Step-by-step explanation:
Let Peter's present age be "p" and his father's age be "x"
So, p = x-24 ;
5 years from now,
Peter's age will be (x-24) + 5 = x-19
His father's age will be x+5.
It is given that 3(x-19)= x+5.
3x - 57 = x + 5 => 2x = 62.
On solving, his father's present age (x) is 31.
So Peter's present age is (p) is x - 24 = 31 - 24 = 7.
Now going in the reverse oder to check the answer.
Peter's present is 7.
5 years from now, it will be 12.
His father's age is 31.
5 years from now, his age will be 36 (which is 3x12).
Hence , the answer to the given problem is 7
consider the graph function below
The equation of the red graph is g(x) = f(x) - 5
How to calculate the equation of the red graphFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = -x
i.e.. the parent equation of the function
From the graph, we can see that
The function is shifted down by 5 units
This means that
g(x) = f(x) - 5
This means that the equation of the red graph is g(x) = f(x) - 5
Read more about transformation at
brainly.com/question/27224272
#SPJ1
Graph the function f(x)= 3+2 in x and its inverse from model 1.
The graph of the function and its inverse is added as an attachment
Sketching the graph of the function and its inverseFrom the question, we have the following parameters that can be used in our computation:
f(x) = 3 + 2ln(x)
Express as an equation
So, we have
y = 3 + 2ln(x)
Swap x and y in the above equation
x = 3 + 2ln(y)
Next, we have
2ln(y) = x - 3
Divide by 2
ln(y) = (x - 3)/2
Take the exponent of both sides
[tex]y = e^{\frac{x - 3}{2}}[/tex]
Next, we plot the graphs
The graph of the functions is added as an attachment
Read more about functions at
brainly.com/question/2456547
#SPJ1
52 divided by 7 = 6r3
A. Incorrect
OB. Correct
Answer:
incorrect
Step-by-step explanation:
as 7 * 6 = 42 and r is 10
so 6r3 is incorrect
and 7 * 7 = 49 and r is 3
so 7r3 is correct
Jaxon's mother spends more than 2 hours cleaning the house. The inequality x> 2 represents the situation. Which
graph represents the inequality?
Answer:A
Step-by-step explanation:the graph shows the values that are greater than 2
Cellular phone usage grew about 22% each year from 1995 (about 34 million) to 2003. Write a function to model cellular phone usage over that time period. What is the cellular usage in 2003?
Answer:
Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:
`y = a * b^(x - h) + k`
where:
- `y` is the quantity you're interested in (cell phone usage),
- `a` is the initial quantity (34 million in 1995),
- `b` is the growth factor (1.22, representing 22% growth per year),
- `x` is the time (the year),
- `h` is the time at which the initial quantity `a` is given (1995), and
- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).
So, our specific model becomes:
`y = 34 * 1.22^(x - 1995)`
To find the cellular usage in 2003, we plug 2003 in for x:
`y = 34 * 1.22^(2003 - 1995)`
Calculating this out will give us the cellular usage in 2003.
Let's calculate this:
`y = 34 * 1.22^(2003 - 1995)`
So,
`y = 34 * 1.22^8`
Calculating the above expression gives us:
`y ≈ 97.97` million.
So, the cellular phone usage in 2003, according to this model, is approximately 98 million.
please help I'm losing braincells
Answer:h equals 12
Step-by-step explanation: