Pyramid A has height 5 1/2, and Pyramid B has height 2 3/4. A and B are similar. What is the ratio of their:
Lateral areas?
Volumes?
Answer:
Lateral areas have ratio of 4:1
Volumes have ratio of 8:1
Step-by-step explanation:
There is a rule in 3D geometry that when two solids are similar, and their edges are in the ratio of [tex]a:b[/tex], the ratio of any surface area type measure is always [tex]a^2:b^2[/tex] this includes the lateral area, which is just a surface area minus the base, which is not important for this problem. The ratio of volumes of those similar solids is in the ratio of [tex]a^3:b^3\\[/tex].
Now, to solve this, we need to find the ratio of any corresponding length of these similar pyramids. We have both the heights, so if we form a ratio of [tex]\frac{5\frac{1}{2} }{2\frac{3}{4} }[/tex] which if you simplify it, it is [tex]\frac{5.5}{2.75}[/tex], which is [tex]2[/tex]. The ratio of the heights are [tex]2:1[/tex].
Now we can apply those rules to this ratio, the ratio of lateral areas would then be [tex]2^2:1^2[/tex], which is [tex]4:1[/tex]. the ratio of volumes would be [tex]2^3:1^3[/tex], which is [tex]8:1[/tex]
Tell whether the angles are adjacent or vertical. Then find the value of x. (4x-25)
Answer:
i dont see the angles but heres how to solve for X
Step-by-step explanation:
PLS HELP AND ANSWER QUICK PLZ
Answer:
X = 90° , Y = 45°, Z = 45°
Step-by-step explanation:
I think of a number, double it and the result is 15
The number in question is 7.5
Step-by-step explanation:
15 ÷ 2 = 7.5
Why divide by 2? Because dividing by 2 is the inverse of multiplying by 2. To double-check our solution, just multiply 7.5 by 2... and 15!!
Matthew got a 90% on his math test and had only 3 incorrect answers. How many
questions were on the test in all? |
Answer:
B
Step-by-step explanation:
Becaus e that wahta is said
How many solutions does the equation −2a + 2a + 7 = 8 have?
One
Two
None
Infinitely many
Answer:
None.
Step-by-step explanation:
let's check it
- 2a + 2a + 7 = 8
7≠ 8
So there's no solution for the given equation.
What is the average rate of change of g over the interval [-1 4]
Answer:
your answer will be -1.2
Step-by-step explanation:
hope it helps you
have a great day
Please help for 10 ponits
Answer:
it's a yes
Step-by-step explanation:
X/6 ≤ 30
to find the value of X we have to move the numerical to the other side
in this case the number is 1/6
X * 1/6 ≤ 30
so to balance the both side and get rid of the number on the left side we multiple with 6.
1/6*6 = 1 on the left side
30*6 = 180 on the right side
so the full equation will be
X * 1/6 * 6 ≤ 30 * 6
X * 1 ≤ 180
X ≤ 180
Complete this page STEP BY STEP
Answer:
Sample space is the collection of all possible events.
So, sample space of tossing two coins, S=(H,T),(T,T),(T,H),(H,H)
Step-by-step explanation:
what is the value of x ?
a. 10.4
b. 52
c. 61.6
d. 92
Find the area of the shaded polygons:
Answer:
4 sq. un
Step-by-step explanation:
PLEASE HELP
A family originally bought a home for $712,980. Now, a few years later, the home is
worth $1,180,627.70. What was the percent of increase in its value? (Round your answer to
the nearest whole number.)
Answer:
86
Step-by-step explanation:
(Please help) Find the area of the trapezoid.
12 in.
3 in.
in.
The area is
square inches.
the difference of 17 and 5 times a number (s)
Answer:
(17-5)x
Step-by-step explanation:
the x next to the parenthesis means multiplication
Answer:
17 - 5s
Step-by-step explanation:
difference = minus sign
5 times = 5s
help asap please!!!!
Answer:
F=(-1, -2)
G=(-3, -5)
H=(-3, -2)
Step-by-step explanation:
Evaluate 6x if x= 1/2
Answer:
3
Step-by-step explanation:
6 * 1/2 = 3
hi I really need help with this
Answer:
t - 4 ≤ 4
Step-by-step explanation:
Hi I really need help with this
The number line represents t ≤ 8
Since the line is on 8 and moving towards the negative part of the number like (less than)
The equivalent equation will be;
t - 4 ≤ 4
Ads 4 to both sides
t-4+4≤4+4
t ≤ 8
Since the solution is similar to the expression above hence t - 4 ≤ 4 is correct
What is the measure of the third angle in the yellow triangle?
Answer:
54
Step-by-step explanation:
66+60=126
180-126=54
PLS ANSWER ASAP THANKS
x = 95°
The angles are vertically opposite so they are equal.
In Hickory, North Carolina, the temperature was 20 degrees on a very cold
morning. If the temperature dropped 25 degrees, what is the temperature
now?
0 degrees
-5 degrees
-15 degrees
45 degrees
Answer:
-5 degrees! If you did 20-25 it would get you -5! Hope this helps :)
Step-by-step explanation:
Please need help with this question
Answer:
Arc RP is 125 degrees, arc QS is also 125 degrees, and I think the ast one would be 110 degrees
Step-by-step explanation:
I will mark as brainlest if correct please
Answer:
with these number it is impossible to use the correct equation to solve this
I've already tried multiple times the best guess I can give you is B.
The following system of equations is
y=--x+ 2
-
3 3
2x + 6y = 4
O equivalent
O independent
inconsistent
Answer:
equivalent
Step-by-step explanation:
when you divide the second one by 2 you'll get the first one
A manager at a local manufacturing company has been monitoring the output of one of the machines used to manufacture chromium shells. Past data indicate that if the machine is functioning properly, the length of the shells produced by this machine can be modeled as being normally distributed with a mean of 118 centimeters and a standard deviation of 8 centimeters. Suppose 16 shells produced by this machine are randomly selected. What is the probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly?" Please type your answer in 3 decimal places.
Answer:
0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".
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 estabilishes 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.
Normally distributed with a mean of 118 centimeters and a standard deviation of 8 centimeters.
This means that [tex]\mu = 118, \sigma = 8[/tex]
Sample of 16 shells
This means that [tex]n = 16, s = \frac{8}{\sqrt{16}} = 2[/tex]
What is the probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly?"
This is the pvalue of Z when X = 120 subtracted by the pvalue of Z when X = 116.
X = 120
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{120 - 118}{2}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.841
X = 116
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{116 - 118}{2}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.159
0.841 - 0.159 = 0.682
0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".
PLZ HELP ME OUTTTTTTTTT
66 points
Answer:
The vertex is at [tex](0, -9)[/tex]
The axis of symmetry [tex]x = 0[/tex]
Step-by-step explanation:
Note: You can answer all the questions looking at the graph
We have the function [tex]f: \mathbb{R} \rightarrow\mathbb{R}[/tex](I am assuming this) such that [tex]f(x) = y = (x-3)(x+3)[/tex]
We note that
[tex](x-3)(x+3) = x^2-9[/tex] once we have a difference of squares
Therefore, we have a quadratic function.
So
[tex]y = x^2-9[/tex]
The vertex [tex](h, k)[/tex] is
[tex]h = \dfrac{-b}{2a} = \dfrac{-0}{2 \cdot 1} = 0[/tex]
[tex]k= h^2 - 9 = 0^2 - 9 =-9[/tex]
Therefore, the vertex is at [tex](0, -9)[/tex]
As we know the vertex, we conclude that the axis of symmetry [tex]x = 0[/tex]
The x-intercepts occur at [tex]y = 0[/tex]
[tex]y = (x-3)(x+3) \implies x = -3, x=3[/tex]
So, the left x-intercept is [tex](-3, 0)[/tex] and the right x-intercept is [tex](3, 0)[/tex]
As I stated in the beginning, the domain is the set of all real numbers. Precisely,
[tex]Dom(f) = \mathbb{R} = (-\infty, \infty)[/tex]
Once, we know the vertex, we also conclude that the Range is
[tex]Ran(f)= [-9,\infty)[/tex]
Greater than or equal to -9
If two lines are skew lines, then they are not parallel
Answer:
Hello~
Llamalover here!
Skew lines are never parallel.
Skew lines are non-coplanar lines that do not intersect,
and parallel lines are coplanar lines that do intersect.
Step-by-step explanation:
I hope this helps!
Brainly?
In 3D geometry, diagonal lines are two lines that do not intersect and are not parallel. A simple example of a pair of diagonal lines is a pair of lines that pass through the opposite edge of a regular tetrahedron.
Can diagonal lines be parallel?Some pairs of diagonal lines are also parallel. This is incorrect. By definition, diagonal lines are on different planes and parallel lines are on the same plane. The two lines can be diagonal or parallel (or both), but not both.
The position of the twist is two lines that do not intersect and are not parallel to each other. Diagonal lines can only exist in dimensions higher than 2D space. They do not have to be coplanar. That is, such lines are in different planes. In a two-dimensional space, two straight lines can intersect or run parallel to each other.
Learn more about skew lines here: https://brainly.com/question/2099645
#SPJ2
Nathan is baking cookies and the recipe calls for 3 2/3 cups of water. He needs to make 1 whole batch and only 1/2 of another batch, for a total of 1 1/2 batches.
How much water will Nathan need to bake the cookies? Draw a diagram to show how much water will be needed.
Answer:
Around 5.5 or 5 1/2
Step-by-step explanation:
Slope -7 and y-intercept (0,9)
Answer:
y=-7x+9
Step-by-step explanation:
PLS HELP
Cindy wants to sell 300 shares of a company’s stock at the market price of $25 per share. She looks up online brokers and the fees they charge. Arrange the brokers’ fees in order from least to greatest.
(i looked at other brainly answers to this question and they were all different to each other like there were 3 diff answers)
Answer:
Step-by-step explanation:
It's in the same order, from broker 1 down to broker 5. Straight up
Answer:
Broker E
|
V
Broker C
|
V
Broker D
|
V
Broker B
|
V
Broker A
22 is what percent of 40?
what is 35% of 60?
Answer:
Step-by-step explanation:
x% of 40 = 22
(x/100)×40 = 22
x = 22×100/40 = 55
22 is 55% of 40
:::::
35% of 60 = 0.35×60 = 21
Answer:
[tex]\huge\boxed{55\%}\\\boxed{21}[/tex]
Step-by-step explanation:
22 is what percent of 40?
[tex]\dfrac{22}{40\!\!\!\!\diagup}\cdot100\!\!\!\!\diagup\%=\dfrac{22\cdot10}{4}\%=\dfrac{11\cdot5}{1}\%=55\%[/tex]
[tex]p\%=\dfrac{p}{100}\\\\35\%=\dfrac{35}{100}=0.35\\\\35\%\ of\ 60\to \dfrac{35}{100\!\!\!\!\diagup}\cdot60\!\!\!\!\diagup=\dfrac{35\cdot6}{10}=\dfrac{210}{10}=21[/tex]