If the Area of a Triangle is 24 inches squared, and the Base measures 4 inches, what must be the height?
Answer:
12 inches tall. Remember the conversion equations!!!!
Step-by-step explanation:
H = 1/2 Base divided by Area
1/2 of 4 = 2 (2/4 = 2)
2 ÷ 24 = 12
How can you prove these triangles are congruent
Answer:
B
Step-by-step explanation:
Side AB= Side DE
Angle B=90 Angle E=90
Side BC= Side EF
Therefore, they are congruent because of the SAS(Side Angle Side) Postulate.
Mine is filling her fish tank. Water flows into the tank at a constant rate. Complete the table as you answer the questions (which I did). In one minute the gallons that fill up is 1.6. What is the constant proportionality..?
Answer:
2.12
Step-by-step explanation:
A middle school took all of its 6th grade students on a field trip to see a symphony at
a theatre that has 5000 seats. The students filled 3250 of the seats in the theatre.
What percentage of the seats in the theatre were filled by the 6th graders on the trip?
Answer: 65%
[tex]\frac{3250}{5000} * 100 \\13/20 *100 = 65%[/tex]
Step-by-step explanation:
To get the percentage of the seats in the theatre were filled by the 6th graders on the trip,
it will be
[tex]\frac{occupied seats}{total seats} * \frac{100}{1}[/tex]
A drama club is planning a bus trip to New York City to see a Broadway play the cost per person for the bus rental varies
What is the slope of the line that contains the points
(9, 0), (0, 5), and (18, -5)?
Answer:
m = rise / run = 10/18 = 5/9
Step-by-step explanation:
As we move from the point (0, 5) to the point (18, -5), x increases by 18 and y decreases by 10. Thus, the slope, m, is m = rise / run = 10/18 = 5/9.
We could get the same result using the points (0, 5) and (18, -5).
A building casts a shadow 20 meters long if the angle from the tip of the shadow to the highest point of the building is 69 degrees what is the height of the building?
Answer:
52.1m
Step-by-step explanation:
Please see attachment for explanatory diagram.
From the diagram:
Opposite = H
Adjacent = 20m
Angle θ = 69°
The height, H of the building can be obtained as follow:
Tan θ = Opp /Adj
Tan 69 = H/20
Cross multiply
H = 20 x Tan 69
H = 52.1m
Therefore, the height of the building is 52.1m
Elena wants to build a one-sample z interval to estimate what proportion of computers produced at a
factory have a certain defect. She chooses a confidence level of 94%. A random sample of 200 computers
shows that 12 computers have the defect
What critical value z' should Elena use to construct this confidence interval?
Answer:
Z = 1.88
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
94% confidence level
So [tex]\alpha = 0.06[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.06}{2} = 0.97[/tex], so [tex]Z = 1.88[/tex].
The critical z-value elena should use to construct the given confidence interval is; 1.88
We are given;
Confidence level = 94%Sample proportion; p^ = 12/200 = 0.06Sample size; n = 200Formula for confidence intervals of proportion is;
CI = p^ ± z√(p^(1 - p^)/n)
Since we are given Confidence level of 94%, the significance level is;
α = 100% - 94%
α = 0.06
The the z-score will be at the p-value of 1 - α/2
P-value = 1 - (0.06/2) = 0.97
From online p-value from z-score calculator, we have; z-score = 1.88
Read more about confidence intervals at; https://brainly.com/question/16236451
[(-5)-{9/(-3)}^3].(-6)+(-6)
Answer:
[tex][(-5)-\frac{9}{(-3)^3}](-6)+(-6)=22[/tex]
Step-by-step explanation:
[tex][\left(-5\right)-\frac{9}{\left(-3\right)^3}]\left(-6\right)+\left(-6\right)[/tex]
Remove parenthesis: [tex](-a)=-a[/tex]
[tex]=-[-5-\frac{9}{\left(-3\right)^3}] * 6-6[/tex]
[tex][-5-\frac{9}{\left(-3\right)^3}]*6 = -28[/tex]
[tex]= - (-28) - 6[/tex]
Apply rule: [tex]- (-a) = a[/tex]
[tex]= 28 - 6[/tex]
Subtract the numbers: [tex]28 - 6 = 22[/tex]
Final answer:
[tex]= 22[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
Calculate x
pls help!!
Answer:
x ≈ 14.3 cm
Step-by-step explanation:
The line from the vertex to the base is a perpendicular bisector, that is
It divides the isosceles triangle into 2 right triangles, with base [tex]\frac{1}{2}[/tex] x
Using the tangent ratio on the left, right triangle, then
tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{5}{\frac{1}{2}x }[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )
x × tan35° = 10 ( divide both sides by tan35° )
x = [tex]\frac{10}{tan35}[/tex] ≈ 14.3 cm ( to 1 dec. place )
US music is popular in Europe, and Japanese music is popular among many people in the US. This kind of artistic and
entertainment connection is an example of a(n)
connection
A.
cultural
Beconomic
Cindustrial
D. political
Answer:
The correct answer is - A. cultural.
Step-by-step explanation:
The exchange of music, thus creating an artistic and entertainment connection between the people of different countries, regions, or continents is a nice example of cultural connection.
The music is part of the culture of the people, and all the people from every part of the world have their own specific type of music that complements their culture.
With the globalization process, people have been able to see and hear things from all around the world, thus managing to hear the music of all pats of the world. The Japanese and Korean music have experienced a real ''boom'' in popularity in the western world, as lot of people find it interesting, and the American music also reached new countries where it became the most popular, like in Europe for example.
MARK ME BRAINLIEST PLEASE!!! :) HOPE IT HELPS
Answer:
A
Step-by-step explanation for why it's A:
The earth has become increasingly interconnected over recent times which has resulted in increased connection as well as cultural exchange amongst individuals.
This has allowed people to have access to new cultures,beliefs and ideas that were otherwise unavailable in their place of inhabitance.
Hence, Japanese music has become a lot more prevalent in the western world than it was say 60 years ago in a similar way American music has become more prevalent in Europe.
Software such as the internet have rapidly sped up globalisation and have resulted in remote accesibility to platforms such as social media that have made this cultural exchange boom in recent times possible.
Why it isn't the other options:
It could not be (b) as no forms of trading of commodities or other financial instruments are exchanged during the sharing of musical culture.
It could not be (c) as the spread of foreign culture within an area does not affect the manufacturing of goods and how they are sold between the involved countries.
It could not be (d) as certain procedures relating to the governance of a country( for instance in America)as well as political ideologies did not flourish( in a country say Japan) due to foreign musical acquisition.
Hope this helps!
There are 3 white counters and 2 black counters in a bag . I take one of the counters out at random . Put a cross on the probability scale to show the probability that I have chosen one of the white counters
Answer:
3/5
Step-by-step explanation:
There are 5 total counters and 3 of them are white counters so you have a 60% chance to get a white counter.
hope this helps
Someone please help me
Answer:
The slope is 2
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
= (1 - (-5)) / (2 - (-1))
= (1+5) / (2+1)
=6/3
= 2
solve for x x^2 -4x +3 =0
answer
1 or 3
explaination
[tex] {x}^{2} - 4x + 3 = 0 \\ using \: factorization \: method \\ ( {x}^{2} - 3)( - x + 3) = 0 \\ x(x - 3) - 1(x - 3) \\ x - 1 = 0 \: orx - 3 = 0 \\ x = 1 \: or \: 3[/tex]
Question 29 A football coach walks 12 meters westward, then 16 meters eastward, then 22 meters westward, and finally 6 meters eastward. For this motion, what is the distance moved? What is the magnitude and direction of the displacement?
Answer: 56m ; 12m
Step-by-step explanation:
A football coach walks 12 meters westward, 16 meters eastward, 22 meters westward, and then 6 meters eastward. The total distance moved will be: 12m + 16m + 22m + 6m = 56 metres.
The displacement will be:
12i + 16i - 22i + 6i
= 34i - 22i
= 12m west
Answer:
Distance moved is 56 metersThe magnitude and direction of the displacement is 12 meters eastwardStep-by-step explanation:
Distance is scalar quantity and as such it has only magnitude and no direction.
The distance moved by the coach is calculated as;
distance = 12 meters + 16 meters + 22 meters + 6 meters
distance = 56 meters
Again, we determine the magnitude and direction of the displacement.
Displacement is a vector quantity and as such it has both magnitude and direction.
let westward represent positive direction, and
eastward represent negative direction
Displacement = 12 meters westward - 16 meters eastward + 22 meters westward - 6 meters eastward
Displacement = 12 meters eastward
What is the circumference of a circle with a diameter of 4.2 cm?
Answer:
it would be C≈13.19cm
hope this helps :)
Can the three angles 25 65 and 90 create one unique triangle
Answer:
Yes, it can. Triangles [in order for them to be one] must equal 180. If you add all of these angles together, since a triangle only has three angles anyway, it equals to 180, so you know it's a triangle.
If this was confusing, I am happy to help further!
A packing box has the dimensions 3 by 2 by 51
2
feet. What is the volume of the box?
Answer:
3072feet
Step-by-step explanation:
take 3miltiply with 2 multiply with 512 feet then the answer is 3072 feet
Answer:
The area of the base of the box, B, is
✔ 6
ft.2.
The volume of the box is
✔ 33
ft.3.
Step-by-step explanation:
I got it right on Edge
Can someone please help me with the relative frequency for FAIL?
Answer:
0.15
Step-by-step explanation:
The relative frequency for FAIL is
The number of times failed occurred/ The number of times the experiment was conducted.
Which is ;
60/400= 0.15
On a side note that relative value of success given is wrong; typo error probably. It should be 0.61
Answer: 0.61
Step-by-step explanation: Mark me as the brainliest
Jake practiced piano for 36 minutes. Betty practiced for 7 times as long as Jake. How many minutes did Betty practice? How many minutes in all did Jake and Betty practice? Write an equation to model your work.
Answer:
Step-by-step explanation:
How many minutes did Betty practice?:
36 x 7=252
How many minutes in all did Jake and Betty practice?:
252+36=288
Equation:
1:7
The equations can be modeled as:
Betty = 252 minutes
Jake + Betty = 288 minutes.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, Jake practiced piano for 36 minutes and Betty practiced for 7 times as long as Jake.
Therefore, Betty practiced for:
36 × 7 minutes
= 252 minutes.
The total time of practice is:
252 + 36
= 288 minutes.
The equations can be modeled as:
Betty = 252 minutes
Jake + Betty = 288 minutes.
Learn more about equations here:
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Wendy is concentrating a sample by distillation. She started with 140 mi of a solution that was about 0.07% inorganic salts. After several hours of distillation, the amount of inorganic salts hasn't changed ,but the volume has decreased to 48 ml. What percent of the solution after distillation is in organic salts?
Show that all terms of a quadratic pattern are positive
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Any value squared would be positive
(-n)^2 = n^2
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The point-slope form a line is y-y1 = m(x-x1), where m is the slope and (x1,y1) is a point on the line. true or false ?
The statement is true because
The point-slope form of the equation of a straight line is given as
y - y₁ = m(x -x₁)
m represents slope
and (x₁, y₁) is a point on the line
Point-slope form of a lineFrom the question, we are to determine if the statement is true
The point-slope form of the equation of a straight line is given as
y - y₁ = m(x -x₁)
Where m is the gradient (slope) of the line
and
(x₁, y₁) is a point on the line
Hence, the statement is true
Learn more on Point-slope form of a line here: https://brainly.com/question/11624671
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What is the sum of (2a - 3b) and (5b - a)
Answer:
[tex] \boxed{a + 2b} [/tex]
Step-by-step explanation:
[tex] = > (2a - 3b) + (5b - a) \\ \\ = > 2a - 3b + 5b - a \\ \\ = > 2a - a + 5b - 3b \\ \\ = > a + 2b[/tex]
Amanda bought two apples and three oranges for a total cost of $3.90. Alex bought 5 oranges and 1 apple for a total cost of $4.75. What is the cost of one orange? PLEASE HELP ME!!
Answer:
1
Step-by-step explanation:
Verify the identity
cosx/1-sinx=secx+tanx
Answer:
Step-by-step explanation:
Drag and drop the options mentioned before each box and that will give you perfect solution:
first box: third option
2nd box: 7th option
3rd box: 4th option
4th box: 1st option
5th box: 6th option
Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone?
Answer:
The volume of cone
V = (1/3) x base area x height
= (1/3) x (diameter/2)^2 x pi x height
= (1/3) x (6/2)^2 x pi x 4.5
= 42.41 (in3)
Hope this helps!
:)
14+x≤26 solution to the inequality
Answer:
[tex]14+x\leq ≤ 26\\Collect like terms\\x \leq 26-14\\x \leq 12[/tex]
Step-by-step explanation:
The solution to the inequality 14 + x ≤ 26 is x ≤ 12.
To solve the inequality 14 + x ≤ 26, you can follow these steps:
1. Begin by isolating the variable "x" on one side of the inequality.
In this case, subtract 14 from both sides:
14 + x - 14 ≤ 26 - 14
x ≤ 12
2. The solution to the inequality is x ≤ 12.
This means that any value of "x" that is less than or equal to 12 will satisfy the inequality.
Therefore, the solution to the inequality 14 + x ≤ 26 is x ≤ 12.
Learn more about Inequality here:
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HELP!!!
I need help with these probabilities
Step-by-step explanation:
To answer the questions, you must fill out the table.
a=65+48=113
b=157-65=92
c=92+33=125
d=48+33=81
e=157+81=238 or 113+92=238
5. To find the probability of picking a customer that is lactose intolerant, you need to find the total number of lactose intolerant people out of all the people.
81/238 or 34%
6. To find the probability of randomly picking a customer over 30 years old, you find the total number of people over 30 years old out of all the people.
125/238 or 52.5%
7. This problem specifically asks for people that are not lactose intolerant.
Under 30 years old: 65/157 or 41%
Over 30 years old: 92/157 or 59%
Based on these statistics, is it obvious that it is more likely for a customer to me over 30.
Which of the following statements is true about a regular octagon?
A. The sum of the figure’s interior angles is 540
B. The sum of the figure’s exterior angles is 720.
C. The measure of each of the figure’s interior angles is 135
D. The figure has 12 lines of symmetry.
Answer:
The answer is C. An octogon has a sum of interior angles of 1080 degrees. 1080/8 = 135 degrees.
Answer:
A:the sum of figure interior angles is 540
Step-by-step explanation: