Answers
Answer: 24 ft
Step-by-step explanation:
We use Pythagoras' Theorem.
So, Hypotenuse^2 = Side A^2 + Side B ^2
=> 30^2 = 18^2 + b^2
=> b^2 = 30^2 - 18^2
=> [tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{30^{2} - 18^{2} }[/tex]
=> b = [tex]\sqrt{576}[/tex]
=> b = 24 ft
Related Questions
Look at the screen shot plzz help now!!!!
Answers
slope form
COS(α+β); SINα=- 1/3, α IN QUADRANT IV, TANβ=7/3, β IN QUADRANT III
PLEASE, I HAVE BEEN TRYING TO FIND THE ANSWER FOR 3 HOURS, AND I HAVE SPENT LIKE 1000 POINTS
Answers
Recall the angle sum identity for cosine,
cos(α + β) = cos(α) cos(β) - sin(α) sin(β)
Then given sin(α) = -1/3, we have
cos(α + β) = cos(α) cos(β) + 1/3 sin(β)
α is in quadrant IV, so 3π/2 < α < 2π, and so sin(α) is negative and cos(α) is positive. Then from the Pythagorean identity, we get
sin²(α) + cos²(α) = 1
⇒ cos(α) = √(1 - sin²(α)) = 2√2/3
β is in quadrant III, so π < β < 3π/2, so both sin(β) and cos(β) are negative. If we multiply both sides of the previous identity by 1/cos²(α) and replace α with β, we get
sin²(β)/cos²(β) + cos²(β)/cos²(β) = 1/cos²(β)
⇒ tan²(β) + 1 = 1/cos²(β)
⇒ 1/cos(β) = -√(tan²(β) + 1) = -√58/3
⇒ cos(β) = -3/√58
Also recall that by definition,
tan(β) = sin(β)/cos(β)
⇒ sin(β) = tan(β) cos(β) = 7/3 • (-3/√58) = -7/√58
Putting everything together, we find that
cos(α + β) = 2√2/3 • (-3/√58) + 1/3 • (-7/√58) = -(6√2 + 7)/(3√58)
or more clearly,
[tex]\cos(\alpha + \beta) = -\dfrac{6\sqrt2 + 7}{3\sqrt{58}}[/tex]
Use a calculator . Round to the nearest tenth of a degree given cos 0=0.8458
Answers
0.8458 rounded to the nearest tenth is 0.8 given cos is 0.696706709347
help please i need it
Answers
Answer:
42m + 12
Step-by-step explanation:
6 ( 7m + 2 )
= 6 ( 7m ) + 6 ( 2 )
= ( 6 * 7m ) + ( 6 * 2 )
= 42m + 12
Answer:
a
Step-by-step explanation:
do distributive property and u get 42m+12
Helppp me Please!!!!! :)
Answers
Answer:
[tex]x = 30 \\ y = 10[/tex]
Step-by-step explanation:
[tex]8x + 6y = 300 \\ x + y = 40 \\ 6x + 6y = 240 \\ 2x = 60 \\ = > x = 30 \\ y = 10[/tex]
Scores on a standardized test are normally distributed with a mean of 250 and a standard a deviation of 20. Approximately what percent of students scored between 260 and 280? Round to the nearest percent
Answers
Answer:
You can't answer this properly without more data.
Algebra A regular pentagon has once I represented by 3X +2 and another side represented by 2X +5. Find the length of the sides of the pentagon
Answers
Answer:
3x + 2 = 2x + 5
3x = 2x +3
x = 3
3x + 2 = 18
2x + 5 = 11
Step-by-step explanation:
Answer:
3X +2 = 2X +5
grouping of like one's
3X - 2X = 5 -2
subtract
X = 3
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score
of a man 72.4 inches tall. (to 2 decimal places)
Answers
Work Shown:
z = (x - mu)/sigma
z = (72.4 - 69.0)/(2.8)
z = (3.4)/(2.8)
z = 1.2142857 .... which is approximate
z = 1.21
Z-score of a man who is 72.4 inches tall is 0.45.
Understanding the concept of the z-score helps us gauge how far a value is from the mean in terms of standard deviations.
A z-score, denoted as , measures the deviation of a data point from the mean in terms of standard deviations. It's calculated using the formula:
= ( - ) /
Where:
- is the value we want to find the z-score for (72.4 inches in this case).
- is the mean of the dataset (69.0 inches).
- is the standard deviation of the dataset (2.8 inches).
Plugging in the values:
= (72.4 - 69.0) / 2.8 = 1.25 / 2.8 ≈ 0.446
Rounded to two decimal places, the z-score is approximately 0.45.
This means that a man who is 72.4 inches tall is roughly 0.45 standard deviations above the mean height of adult men.
In other words, his height is a bit taller than the average height by about 0.45 times the standard deviation.
This positive value indicates that the man's height is above the mean. If the z-score were negative, it would mean the height is below the mean. By using z-scores, we can compare data points from different distributions and understand how unusual or typical a particular value is within its dataset.
Z-scores help us quantify the relative position of a data point, providing a standardized way to interpret its significance in the context of the dataset's characteristics.
In summary, the z-score of a man who is 72.4 inches tall is approximately 0.45, indicating that his height is slightly above the average height of adult men.
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HELP SOMEONE HEEEEEEEEEEEEEEEEEEEEEELP! which graph is the right one?
Which graph represents an exponential function?
Answers
Answer:
The answer is...
Step-by-step explanation:
Please help with this question
Answers
Answer:
The question or equation is not clear.....
Given x + 3y = k and x-k= y, which of the following is equal to
x?
Answers
k-3yStep-by-step explanation:
For the given equations, x + 3y = k and x-k= y, the value of x is equal to k.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equations are,
x + 3y = k (1)
and x-k= y, (2)
From equation (2) substitute the value of y in equation (1)
x+3(x-k)=k
⇒4x-3k=k
⇒x=k
So the value of x is equal to k.
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Brainliest if you show all work!!!
Thanks! :)
Answers
x + 11 = 3x - 3
x + 3x = 4x
11 - 3 = 8
Top and bottom is 4x + 8
Left and right side:
2x - 4
Area:
4x + 8(2x - 4)
4x(2x) = 8x^2
8-4=4
8x^2 + 4 = area
What is the inverse of the function above?
Pls no stealing points, no links and only answer if you actually know what it is!
Answers
Answer:
Switch the x and y values, then graph
Step-by-step explanation:
See attatched
Step-by-step explanation:
The equation of graphed line is y = x - 5 ( slope = 1 and y intercept = -5).
For finding inverse ,
x = y - 5
y = x +5
f-¹(x) = x +5
what is -37x85
what is 28x-43
what is -53x-98
Answers
Answer:
1. -3145
Step-by-step explanation:
I couldnt solve the other one because they don't have a equal sign. Something like 28x-43= ?
Answer:
-37x85= -3145
28x-43=-1204
-53x-98=5194
those are ur answers
Step-by-step explanation:
can someone answer my questions asap ill give brainliest
Answers
what's your question!!!!!!!!!!!
-,-
Answer:
what is your question without the question we can't not provide answers.
Step-by-step explanation:
please quick answer i’ll mark brainliest
Answers
Answer:
1.363
Step-by-step explanation:
Area of the sector is x/360 * pi * r^2
A = 40/360 * pi * 7*7
= 1/9 * 22/7 * 49
= 1/9 * 22 * 7
= 17.111111
Area of the triangle OMN = 1/2 ab sin C
so here A = 1/2 * 7 * 7 * sin 40
= 49/2 * sin 40
= 15.748296437320213494904763542728
so, Area of shaded segment is
= Area of sector - area of triangle
= 17.1111111 - 15.748296437320213494904763542728
= 1.363
The ratio of the length and breadth of a rectangular field is 8: 7. If the breadth of the field is 98 m, find its length.
Answers
Answer:
112
Step-by-step explanation:
l : b = 8 : 7
b = 98m
so l / b = 8/7
l / 98 = 8 / 7
l = 98 * 8 / 7
= 112
7 6/10= ?/? please help
Answers
Answer:
7.6
Step-by-step explanation:
Answer:
76/10
Explanation
7 × 10 is 70 + the 6 is 76/10
you can look up fractions on yt
to get a better explication.
The table represents the equation y = 2 - 4x.
C OF
y
Use the drop-down menus to complete the statements.
The X-values are the
The y-values are the
The missing value in the table for x = -1 is y = v
-2
10
-1
o
2
1
-2
2
-6
Intro
Done
Eivity
Answers
Answer:
Step-by-step explanation:
Huh?.?.?
Caleb needs to solve the problem 2,406 ÷ 6. In what place is the first digit of the quotient for the problem 2,406 ÷ 6?
Answers
Answer:
Hundreds place
Step-by-step explanation:
The quotient is 401. The first digit (4) is in the hundreds place.
solve for x 2x- negative 12
Answers
Step-by-step explanation:
6274518802
w541gM
please come
for zóom
HVXpimbOay
for me3t
what is the answer to X/3 - 4 = 3
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of x in given expression is ~
[tex] \boxed{21}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve for x ~
[tex] \dfrac{x}{3} - 4 = 3[/tex][tex] \dfrac{x}{3} = 3 + 4[/tex][tex] \dfrac{x}{3} = 7[/tex][tex]x = 7 \times 3[/tex][tex]x = 21[/tex]1+4×6
help me please
Answers
Answer:
25
Step-by-step explanation:
________
[tex] \: [/tex]
1 + 4 × 6 = ...
= 1 + 24
= 25
Which inequality is true when the value of h is -13?
o-h-2<7
Submit Answer
Oh-2> 7
o-h-2<-7
o h2>-7
Answers
Answer:
-h - 2 > -7
Step-by-step explanation:
-(-13) - 2 > -7
13 - 2 > -7
11 > -7
Write y=-3x+2 in standard form
Answers
Answer:
3x+y=2
Step-by-step explanation:
The equation is in slope intercept form.
y=mx+b
Standard form is given by:
ax+by=c
y=-3x+2
3x+y=2
What is 773 - 28 estimated using compatible numbers?
Answers
Answer:
The direct answer is 745
Step-by-step explanation:
773 minus 28
✨745✨
Help a Brother Out On The evalute expressions
Answers
Answer:
4. - 11
5. 3
6. 14
7. - 60
that it is
evaluate x-2y when x =0.75 and y =0.96
Answers
Step-by-step explanation:
x = 0,75
y = 0,96
= x - 2y
= 0,75 - 2.0,96
= 0,75 - 1,96
= -1,21
When Julius crossed the Rubicon, he had with him 3 times as many soldiers as he
needed to conquer Rome. If he had 26,000 soldiers with him, how many were needed
to conquer Rome?
Answers
86,000 :)
hope it helped!
Consider an economy made up of 100 people, 50 of whom hold jobs, 10 of whom are
looking for work, and 15 of whom are retired. The unemployment rate is approximately:
17 percent
10 percent
25 percent
20 percent
12 percent
Answers
Answer:
20 por cento de cada um , que colocar
The unemployment rate is approximately 17 per cent. The correct option is A.
To calculate the unemployment rate, we need to consider the number of unemployed individuals (those looking for work) divided by the total labour force (those employed plus those looking for work).
Given:
Total population = 100
Employed individuals = 50
Individuals looking for work (unemployed) = 10
Total labour force = Employed + Unemployed
Total labor force = 50 + 10 = 60
Unemployment rate = (Unemployed / Total labour force) x 100
Unemployment rate = (10 / 60) x 100 ≈ 16.67 percent
Rounding to the nearest whole number, the unemployment rate is approximately 17 per cent.
Therefore, the correct answer is option A.
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