Answer:
3. 74
Step-by-step explanation:
The pythagorean theorem states that A^2 + B^2 = C^2 (with c being the hypotenuse). So to figure it out we can substitute into the equation.
5^2 = 25
7^2 = 49
25 + 49 = 74
So it would be the square root of 79. I hope this helps! :)
The length of the hypotenuse side of a triangle is √74. Therefore, the correct answer is option 3.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, a right triangle has legs that are 5 cm and 7 cm long.
Let the length of the hypotenuse side be x.
Now, x²=5²+7²
x²=25+49
x²=74
x=√74 units
Therefore, option 3 is the correct answer.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
#SPJ2
2 + 6x > 38 How can I solved this?
Answer:
Below
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
6 x > 36
Divide each term by 6 and simplify.
x > 6
Inequality Form: x > 6
Interval Notation: ( 6 , ∞ )
Hope this helps:)
Find the distance from Point A to Point B The distance is __ units (round to the nearest tenth if needed)
Answer:
8.6 units
rounded would be just 9 ig?
Help me with this please
Answer:
6a is 80 6b120
Step-by-step explanation:
A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heart rate at the end of the workout for the subjects in Group 1 was = 90.00 beats per minute with a standard deviation of = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart rate at the end of the workout for the subjects in Group 2 was = 95.08 beats per minute with a standard deviation of = 12 beats per minute. Assume that two groups are independent and the data are approximately Normal. Let and represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses and . The P-value for the test is (use conservative value for the degrees of freedom)
Answer:
The answer is "between 0.10 and 0.05".
Step-by-step explanation:
For sample 1:
[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]
For sample 2:
[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]
Calculating the null and alternative hypotheses:
[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]
Calculating the test statistic:
[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]
Calculating the conservative degrees of freedom:
[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]
by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].
[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]
In AHIJ, HJ is extended through point J to point K, mZIJK = (7x – 15)°,
mZJHI
(3x + 18), and mZHIJ (x + 6)". Find mZJHI.
Answer:
3x + 18), and mZHIJ (x + 6)". Find mZJHI.
Step-by-step explanation:
it is 86[9=10+3]
Given f(x) = {(4 - x)?, what is the value of f(16)?
Record your answer and fill in the bubbles on your answer document.
f(16) = -5592404
9514 1404 393
Answer:
48
Step-by-step explanation:
Put 16 where x is and do the arithmetic.
f(16) = 1/3(4 -16)^2 = 1/3(-12)^2 = 1/3(144)
f(16) = 48
Find the value of x.
Answer:
x = 30°
Step-by-step explanation:
< A = 90° {Being vertically opposite angles }
Now
x + 90° + 2x = 180° (Being linear pair)
3x = 180° - 90°
3x = 90°
x = 90° / 3
x = 30°
Hope it will help :)❤
Find the circumference, giving brainlies pls asap
Answer:
B) 12.6π ; 39.6
Step-by-step explanation:
Circumference:
C = 2πr
C = 2(3.14)(6.3)
C = 6.28(6.3)
C = 39.6
C = 2πr
C = 2π6.3
C = 12.6π
its a or b, sorry im not much help
Buying one movie ticket online costs $16.50. Two tickets cost $30.50. Assuming that the relationship is linear, what is the recursive formula? (remember recursive formula is An = An-1 + d)
1. An = A1 + (n - 1) +30.50
2. An = An-1 + 14 where A1 = 16.50
3. A20 = 231
4. An = 30.5 + 16.50
Answer:
c(n)= 14n+2.50
Step-by-step explanation:
Have a good day
A salesman at a clothing store makes a sale to 30% of the customers he talks to, and wants to try out a new tecnique to see if he can change this rate. He decides to collect data for a few months on the percentage of customers he makes a sale to, and he is able to construct a 95% confidence interval of (.3095, .3275). Is there evidence at 5% significance that he has changed his average sales?
Answer:
Yes, we can conclude that average sales has changed.
Step-by-step explanation:
The null hypothesis, H0 : μ = 0.3
The alternative ; H0 : μ ≠ 0.3
The result of the 95% confidence interval of (.3095, .3275); This shows that the confidence interval is now between 30.95% and 32.75% ; since μ does not lie within the confidence interval value and the lower boundary of the confidence interval is > 30; we Can conclude with an evidence of 5% significance that his average sales as changed (increased).
We can reject H0 and conclude that μ > 0.3
help plz look at the image to answer to all 10 questions no links plz
Answer:
2 4 6 8 12 14 16 18 20
Step-by-step explanation:
Answer:2 4 6 8 10 12 14 16 18 20
Step-by-step explanation: just add them or count by 2
1. In which number does the 6 have a value that is one-tenth the value of the 6 in 34,7612
A. 16,305
B. 28,695
C. 51,364
D. 78,426
Which axis is the shape being reflected across? (Which axis is th
mirror?)
1c
8
1
45
A
yaxe
Answer:
report the question with the link
Step-by-step explanation:
it takes you to a human trafficing website report it ill do it too
16. Solve for x. x = __________
Answer:
20
Step-by-step explanation:
find the midpoint of the given points
(-8,4),(3,-4)
Answer:(-2.5,0)
Step-by-step explanation:
MP=(-8+3/2,4+(-4))=(-2.5,0)
what is the input of arccos
Answer:
It returns the angle whose cosine is a given number.
Step-by-step explanation:
For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"
cos30 = 0.866 Means: The cosine of 30 degrees is 0.866
arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.
Use arccos when you know the cosine of an angle and want to know the actual angle.
I need this answer as soon as possible will give brain thing
Answer: X=5 so whats 3 + 5? easy, 8. so now you know the bottom is eight and since it's a rectangle the top is also 8. And the left side is 15 so we know the right side is also 15. To find the perimeter you add all the sides of which in this case it would be 8 + 8 + 15 + 15. or (8 times 2) + (15 times 2). = 46 the answer is 46
Step-by-step explanation:
2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.
What can be said about the data for the snowfall in each resort? Check all that apply.
Answer:
2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.
Step-by-step explanation:
Answer:
ab 50 and ab 75
Step-by-step explanation:
Help me with this please
The school has 978 pencils. They want to divide them equally among the 84 students. How many pencils will each student get?
Answer:
each student gets 11 pencils
Step-by-step explanation: I searched it up
WILL GIVE BRAINLIEST
The diagonals of a quadrilateral are 12 and 10. Is
this a parallelogram rectangle? Explain your answer
Answer:
the answer is no.a parallelogram is not a rectangular but the opposite is true. the reason is a cause of parallelogram's diagonals.they might not be equal in parallelogram but in rectangular they must be equal.
Step-by-step explanation:
Answer:
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. So yes it is a parallelogram.
Step-by-step explanation:
Diagonals of parallelogram are not necessarily equal. This is a known property of a parallelogram. If all angles are equal, then it means its opposite angles are also equal which is a condition for a quadrilateral to be called parallelogram. If all sides are equal then, opposite sides are also equal.
Kenneth started saving for retirement at age 40 with plans to retire at age 70. He invested an average of $400 per month in various securities, with an average annual return of 7% adjusted for inflation. Assuming monthly compounding, how much has Kenneth saved at the start of retirement.
A. $487,988.40
B. $720,421.84
C. $37,784.31
D. $556,559.8
Answer:
487,988.40
Step-by-step explanation:
I took the test
A friend and I disagree about the answer to the simple math question posed by this post on social media, can you give me the correct answer. I think it's 35, she says 70.
Answer: what’s the equation?
Step-by-step explanation:
What is the volume of this composite solid?
Answer:
B
Step-by-step explanation:
I think
Hello can someone plz help me? Plz show your work
Step-by-step explanation:
Sandra played for 4=x minutes in the basketball game and Diane how ever played seven times as long as Sandra so the equation and the minutes Diane played is represented by;
4=x(Sandra)
Diane= 7(x)
=7(4)
=28
Can someone help me, please? Also, can someone explain it?
Answer:60m^2
Step-by-step explanation:you have to find the height of the triangle first which is easy bc it’s been split in half so the are now two right triangles. use the pythagorean theorem to determine the height, the height is 12, the formula for the area of a triangle is 1/2bxa and half of the base is already given to you, 5 so 5 x 12 equals 60
What number is missing to make the following statement true 8 11/15= 7 ?/15
Answer:
7 26/15
Step-by-step explanation:
all you have to do is add 15 to the 11.
Please Help Me!!! What is 81y + 54
Answer:
2
Step-by-step explanation:
y
how much markup is $75 to $180
Answer:
105
Step-by-step explanation:
75+105 =180
Dalton built a linear model to show the height of a meteor falling to the Earth. The meteor starts at 100 km above the Earth's surface and falls at a rate of 20km per second. The x values represent the time in seconds and the y values represent the height of the meteor. What does the domain represent in context of the model?
Answer:
The domain represents the time of motion of the meteor as it falls from 100 km height above the Earth's surface at a speed of 20 km
Step-by-step explanation:
The given parameters from the question are;
The elevation of the meteor above the Earth's surface = 100 km
The rate at which the meteor falls = 20 km per second
The 'x' values represent the time in seconds and the 'y' values represent the meteor's height
Therefore, we have;
y = 100 - 20·x
The domain of a function is the set of inputs to the function
Therefore, the domain represent the time it takes the meteor to reach the given 100 km height above the Earth's surface
At the start x = 0 seconds
On the Earth's surface, y = 0, therefore;
0 = 100 - 20·x
x = 100/20 = 5
When the meteor just touches the Earth's surface x = 5 seconds
Therefore, the domain is 0 ≤ x ≤ 5.