Answers
Answer:
The value of x is 15.
Step-by-step explanation:
Since the base is 40 inches long, and the two triangles are congruent - both are right triangles and have sides x and their bases equal - you know that each base of a triangle is 20 inches long. Using the Pythagorean Theorem, you can get that [tex]x^2+20^2=25^2[/tex]. Solve for x by isolating the variable on one side: [tex]x^{2} =25^{2} - 20^{2}[/tex] ⇒ [tex]x^{2} = 625 - 400[/tex] ⇒ [tex]x^{2} = 225[/tex] ⇒ [tex]x^{2} =225[/tex] ⇒ [tex]x=\sqrt{225}[/tex] ⇒ [tex]x=15[/tex] inches.
Related Questions
You need to make 56 servings of Caesar dressing.
Each serving takes 2 teaspoons of crushed garlic.
How many teaspoons of crushed garlic do you need?
Answers
Answer:
112 teaspoons of crushed garlic
Step-by-step explanation:
56•2=112
The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Recently, the Student Monitor reported that the average amount of time spent per week on the Internet was 19.0 hours. You suspect that this amount is far too small for your campus and plan a survey. You feel that a reasonable estimate of the standard deviation is 10.0 hours. What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence
Answers
Answer:
A sample size of 385 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
You feel that a reasonable estimate of the standard deviation is 10.0 hours.
This means that [tex]\sigma = 10[/tex]
What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?
A sample size of n is needed. n is found when M = 1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.96\frac{10}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 1.96*10[/tex]
[tex](\sqrt{n})^2 = (1.96*10)^2[/tex]
[tex]n = 384.16[/tex]
Rounding up:
A sample size of 385 is needed.
What is 12+[2-(4*a2)]÷7+b
Answers
Answer:
86 - 4a^2 + 7b over 7
Step-by-step explanation:
calculate by rounding off and compensating 823-273
Answers
Not sure what exactly you want but the answer is 550.
You can compensate by subtracting 3 from 823 and subtracting 3 from 273 and after doing 820-270 you get 550.
Hope this helps!
each team has 14 players using c write an expression for the total number of players in the tournament
Answers
Ani dont know Step-by-step explanation:
hhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllpppppppppppppppp please this the last question so I could get a b
Answers
Answer:
What is your question so I can answer it directly okay
4) You randomly select one card from a 52-card deck. Find the probability of selecting the 6 of hearts or the ace of diamonds.
Answers
Answer:
1/26
Step-by-step explanation:
There is only one 6 of hearts and only one ace of diamonds.
The probability of selecting the 6 of hearts is thus 1/52, and that of selecting the ace of diamonds is also 1/52.
The probability of selecting the 6 of hearts or the ace of diamonds is the SUM of these two results: 1/52 + 1/52 = 2/52 = 1/26.
I hope this can help you!!!
A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec. A) Write a quadratic function h(t) that shows the height, in feet, of the rocket t seconds after it was launched. B) Graph h (t) on the coordinate plane. C) Use your graph from Part 3 (b) to determine the rocket's maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air. ( Answer options A,B,C) Please don't answer if you don't know how to) Will Mark Brainliest.
Answers
The calculated quadratic function for the height of the rocket is "[tex]h = 64t - 16.085t^2[/tex]" and the further calculation of the given points can be defined as follows:
For point A):
Calculation of the quadratic function:Rocket Initial velocity (u) [tex]= 64 \ \frac{feet}{sec}[/tex]
Considering gravity's acceleration of 32.17 feet/sec2
The rocket's height can be expressed as follows:
[tex]h = ut - \frac{1}{2} \times 32.17 \times t^2 \\\\h = 64 - 16.085 \times t^2 \\\\h = 64t - 16.085t^2[/tex]
For point B):
A y-axis indicates its rocket's height in feet, whereas the x-axis represents the duration in seconds.
Please find the attached file.
For point C):
As seen in the graph, after t = 1.989 seconds, the rocket reaches its highest height of 63.662 feet.maximum height = 63.66 feet, time t = 2 seconds. After 3.979 seconds, the rocket's height returned to zero.It would be in the air for 3.979 seconds. The rocket lingered in the air for 4 seconds.
Find out more information about the velocity here:
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HELP ME THIS IS MISSING HOMEWORK AND I DONT WANT ANY FILES OK!!!!!!!!!!!!!!!!!
Answers
Answer:
4a) [tex]\frac{2}{3}[/tex] · (5 + 7)
b) 3 ÷ (3/5)
c) ([tex]\frac{2}{3}[/tex] - [tex]\frac{1}{2}[/tex]) ÷ 3
Step-by-step explanation:
Can u guys help rq with this question
Answers
Answer:
C and B
Step-by-step explanation:
Parallel is when two lines are exactly parallel from eachother which means they both have to go in the same direction. It has to be two lines that dont meet up with eachother when you continue the lines.
Help plz imagine attached
Answers
Answer:
Angle of elevation = 21.167°
Step-by-step explanation:
Given:
Horizontal distance cover by rover = 180 m
Vertical distance cover by rover = 65 m
Find:
Angle of elevation
Computation:
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
⇒ Sin θ = Vertical distance cover by rover / Horizontal distance cover by rover
⇒ Sin θ = 65 / 180
⇒ Sin θ = 0.3611
⇒ Sin⁻¹ (0.3611) = 21.167°
Angle of elevation = 21.167°
Find the area of the trapezoids
Answers
Answer:
I need help in math too so
Answer:
120 units²
Step-by-step explanation:
A= [tex]\frac{a+b}{2}[/tex]×h
A= [tex]\frac{15+15}{2}[/tex]×8
A= [tex]\frac{30}{2}[/tex]×8
A= 15×8
A= 120
What are the ordered pairs of the solutions for this system of equations?
Answers
Answer:
( 4, 11 ) , ( - 4, 27 )
Step-by-step explanation:
f(x) = x² - 2x + 3
f(x) = - 2x + 19
x² - 2x + 3 = - 2x + 19
x² - 16 = 0
( x + 4 )( x - 4 ) = 0
[tex]x_{1}[/tex] = - 4
[tex]x_{2}[/tex] = 4
f(x) = [tex]y_{1}[/tex] = - 2( - 4 ) + 19 = 27
[tex]y_{1}[/tex] = 27
f(x) = [tex]y_{2}[/tex] = - 2( 4 ) + 19 = 11
[tex]y_{2}[/tex] = 11
( 4, 11 ) , ( - 4, 27 )
A contractor decided to build homes that will include the middle 80% of the market. If the average size of homes built is 1810 ft2 with a standard deviation of 92 ft2, find the maximum and minimum sizes of the homes the contractor should build. Assume that the size of homes is normally distributed.
Answers
Answer:
The minimum sizes of the homes the contractor should build is of 1692.24 square feet.
The maximum sizes of the homes the contractor should build is of 1927.76 square feet.
Step-by-step explanation:
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.
The average size of homes built is 1810 ft2 with a standard deviation of 92 ft2
This means that [tex]\mu = 1810, \sigma = 92[/tex]
Middle 80%:
Between the (100-80)/2 = 10th percentile and the (100+80)/2 = 90th percentule.
Minimum size:
The 10th percentule, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 1810}{92}[/tex]
[tex]X - 1810 = -1.28*92[/tex]
[tex]X = 1692.24[/tex]
The minimum sizes of the homes the contractor should build is of 1692.24 square feet.
Maximum size:
The 90th percentule, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 1810}{92}[/tex]
[tex]X - 1810 = 1.28*92[/tex]
[tex]X = 1927.76[/tex]
The maximum sizes of the homes the contractor should build is of 1927.76 square feet.
21. Which equation can you use to find the value of x? (y + 2.3) cm K K. T 7 cm ( (2.5x)" H A. O 2.5x = 180 B.O 2.5x = 90 C.O 2.5x = 60 D. O 2.3x = 60
Answers
Answer:
2.5x = 180
Step-by-step explanation:
106 ° + X° = 180 °
Solving the above
X° = 180 ° - 106°
X° = 74°
Therefore the value of X° is 2.5°.
B is the correct option
Estimate 85.77-62.396 by first rounding each number to the nearest whole number
Answers
Answer:
24
Step-by-step explanation:
85.77-62.396 estimated by rounding each number to the nearest whole number is 24. I got this by first rounding 85.77 to 86. I then rounded 62.396 to 62. Next, I did 86-62= 24.
So, the answer is 24.
Answer:
23.000
Step-by-step explanation:
8-6=2
5-2=3
So you know that 23.000 is the roaded answer, you can just ignore the digits behind the decimal point in order to round
At the gym, Diana always spends more minutes running than lifting weights.
PART A: Which equations describe the relationship between th number of minutes Diana runs, r, and the number of minutes she lifts weights, w. Select all that apply.
1. 12 + w = r
2. r = w - 12
3. w = 12 + r
4. r - 12 = w
5. r + w = 12
Answers
Answer:
2,3,5
Step-by-step explanation:
The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let r represent the number of minutes Diana runs and w represent the number of minutes she lifts weight.
Since Diana always spends more minutes running than lifting weights. Hence:
r = w + 12
The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r
Find out more on equation at: https://brainly.com/question/2972832
A group of neighborhood families are planning a trip to the museum
Answers
and when they got there they all got teleported back in time 66, 000, 000 years ago to the dinosaurs
Find f(-1)
f(x) = (1/5)^x
Answers
f(-1)=(1/5)^-1
f(-1)=5
Which of these expressions below is less than 345? Select all that apply.
A) 342.35 + 4.19
B) 256.79 + 98.11
C) 356.09 -10.45
D) 419.56 - 75.68
E) 199.75 +143.712
Answers
Answer:
D and E
Step-by-step explanation: Math
Answer:
d and e
Step-by-step explanation:
419.56-75.68=343.88
199.75+143.712=343.462
IM GIVING 20 POINTS AND BRAINLY TO WHO GETS IT RIGHT THIS IS DUE REALLY SOON AND I NEED HELP PLSSSS
Answers
Answer:
5/6
Step-by-step explanation:
Answer:
The answer is 5/6
Step-by-step explanation:
4 5 20 2
- x - = - = -
5 6 30 3
What is the solution set of 3x-4)=20 ?
Answers
Answer:
3x - 4 = 20
3x = 20 + 4
3x = 24
x = 24/3
x = 8
Answer:
[tex]3x - 4 = 20 \\3x = 20 + 4 \\ 3x = 24 \\ 3x \div 3 = x \\ 24 \ \div 3 = 8 \\ x = 8 [/tex]
If we used the quadratic expression below to complete a diamond, which pair of values would go on the SIDES of the diamond?
x^2 - 4x + 5
a. 5 and -1
b. -5 and 1
c. -4 and 1
d. 4 and -1
e. no solution
Answers
9514 1404 393
Answer:
e. no solution
Step-by-step explanation:
You would be looking for factors of +5 that have a sum of -4. There are none (no solution). None of the values offered in the answer choices have a product of +5.
__
The discriminant of the quadratic is (-4)² -4(1)(5) = -4, so the roots are complex.
In Littletown, the probability that a baseball team goes to the city playoffs is
0.20. The probability that the team goes to the state playoffs given that the
team goes to the city playoffs is 0.50.
What is the probability that a randomly selected team from Littletown goes to
the city and state playoffs?
A. 0.15
B. 0.25
C. 0.10
Ο Ο
D. 0.20
SUBMIT
Answers
Answer:
C. 0.10
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Goes to the city playoffs
Event B: Goes to the state playoffs.
In Littletown, the probability that a baseball team goes to the city playoffs is 0.20.
This means that [tex]P(A) = 0.2[/tex]
The probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.50.
This means that [tex]P(B|A) = 0.5[/tex]
What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?
This is [tex]P(A \cap B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(A)*P(B|A) = 0.2*0.5 = 0.1[/tex]
The correct answer is given by option C.
Find the distance between the two point (0,-2) and (8,4)
Answers
Answer:
Distance is 10
Step-by-step explanation:
The x distance is 8 - 0 = 8
The y distance is 4 - (-2) = 6
Full distance is [tex]\sqrt{6^2+8^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]
Answer:
The distance between the points is 10.
Plz help me with this it’s really important
Answers
Answer:
axis of symmetry is 2
vertex is (2,-4)
Step-by-step explanation:
I hope this helps.
Janessa is playing a board game with two friends. Using a single die, one friend rolled a four, and the other friend rolle
a three. Janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate
her probability of winning.
How many desired outcomes should Janessa use in her probability calculation?
A. 3
B. 6
C. 4
D. 2
Answers
Answer:
D. 2
Step-by-step explanation:
The only possible outcomes that Janessa could possibly calculate would be 5 and 6. This is because a single die has 6 possible outcomes. If Janessa's friends rolled a 3 and a 4, and Janessa needs to roll something higher, then the only higher possible outcomes would be a 5 or a 6. Meaning that Janessa can only use a total of 2 desired outcomes for her to actually win the game.
Answer:
sorry i need more points
Step-by-step explanation:
Find The greatest common Factor of 7, 15, 21
Answers
Answer:
1
Step-by-step explanation:
1. List the prime factors of each number.
2. Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.
3. Multiply all the circled numbers. The result is the GCF.
Answer:
1
Step-by-step explanation:
The graph shows the distance in miles, d, a car travels in hours. Explain why the graph does or does not represent a proportional relationship between the variables d and t.
Answers
Answer:
The graph shows a proportional relationship because t=50, and that pattern follows.
Step-by-step explanation:
The graph shows a proportional relationship because t=50, and that pattern follows.
The graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.
What is the speed of a body?The speed of a body is the rate at which it covers the total distance in the time taken. The speed of the body is given as,
[tex]s=\dfrac{d}{t}[/tex]
Here, (d) is the distance travelled by the body and (t) is the time taken by the body to cover that distance.
The graph shows the distance in miles, d, a car travels in hours. Rewrite the above formula, considering it for the car,
[tex]s=\dfrac{d}{t}\\t\times s={d}[/tex]
In this formula, distance in miles, d, is directly proportional to the time taken by car in hours.
It is because as the car moves, the time start to pass and so the distance car start to cover the distance. In more time, the car will cover more distance with same speed.
Thus, the graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.
Learn more about the speed here:
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Cesium-137 has a half-life of 30 years. Find the
amount of cesium-137 left from a 100 milligram
sample after 180 years.
Answers
Answer:
199 yr
Step-by-step explanation:
Answer:
199 years
Step-by-step explanation:
Hope it helps u
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