Answer:
AB = 10 m
Step-by-step explanation:
Given that <ACB = <ECD, then triangles ABC and EDC are similar.
Let the height of the solar panel (AB) be represented by x. Thus by comparing the triangles, we have;
[tex]\frac{x}{6}[/tex] = [tex]\frac{45}{75}[/tex]
45x = 6 x 75
45x = 450
x = [tex]\frac{450}{45}[/tex]
x = 10
The height of the solar panel is determined to be 10 m.
A survey found that women's heights are normally distributed with mean 63.7 . And standard deviation 3.7 . The survey also found that men's heights are normally distributed with mean 67.5. And standard deviation 3.7. Consider an executive jet that seats six with a doorway height of 56.4. Complete parts (a) through (c) below.
Complete question :
A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.3 in and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.7 in.
1-What percentage of adult men can fit through the door without bending?
2-) Does the door design with a height of 56.35in. appear to be adequate? Why didn't the engineers design a larger door? Choose answer below
A. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.
B. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.
C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.
D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.
Answer:
A.) 0.135%
B.) C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.
C.)
Step-by-step explanation:
Percentage of adult men that can fit the door without bending :
Obtain the Zscore :
Mean height of men, m = 67.5
Standard deviation, s = 3.7
Zscore = (x - m) / s ; where x = 56.4
Zscore = (56.4 - 67.5) / 3.7
Zscore = - 11.1 / 3.7
Zscore = - 3
P(Z < - 3) = 0.0013499 (Z probability calculator)
P(Z < - 3) = 0.0013499 * 100% = 0.13499%
if (number only) PLEASE HELP
NO LINKS!! Can someone please help? I'll give 25 points because I'm feeling nice. Thanks! Answer will also be marked Brainliest!
Answer:
D. - 2Step-by-step explanation:
5(4 +2x) = -(x - 5) - 720 + 10x = -x + 5 -710x + x = -2 - 2011x = - 22x = -22/11x = -2Correct choice is D
given y²+5y-6= (y+p) (y+q), find the values of p and q.
Answer:
(y+6)(y-1)
Step-by-step explanation:
literally factorising.
y^2 x -6 = -6y^2
u need two numbers that multiply to make -6 and add them together to make +5 which is +6 and -1.
Answer:
p = 6, q = - 1 , or p = - 1, q = 6
Step-by-step explanation:
Factorise the quadratic expression on the left side
y² + 5y - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)
The factors are + 6 and - 1 , since
6 × - 1 = - 6 and 6 - 1 = + 5 , then
y² + 5y - 6
= (y + 6)(y - 1) = (y - 1)(y + 6)
Compare to (y + p)(y + q) , then
p = 6, q = - 1 or p = - 1, q = 6
21
9. Simplify where possible:
a) 3a -4a +6a
b) 7y + 11y - 18y
c) 4x + 9y -5x - 10y
d) -2m + 3n-9m -4n
Answer:
9. a) 5a
b) 0
c) -x -y
d) -11m -n
hope this answer helps you.....
Answer:
I have calculated a b c d.I hope you wanted me to simplify it like that.that's the only method I know hope it helps.
Find the value of x that makes ADEF-AXYZ.
N
y
4.5
7.5
E
3x-12
12
D
F
15
Answer:
Go on Calculators-free math help
Step-by-step explanation:
go on there and type the anwer and it is free
please please help me on how to do congruent figures!
Answer:
x = 5
Step-by-step explanation:
Since both triangles are similar hence;
m<CAB = m<CDE
Given theta
m<CAB = 50degrees
m<CDE = 10x
Substitute the given angles
50 = 10x
Swap
10x = 50
Divide both sides by 10
10x/10 = 50/10
x = 5
Hence the value of x is 5
Helpppppp plzzz I need it I’m confused a lil
Answer:
Step-by-step explanation:
PLEASE HELP ITS TIMED!!! Which list represents all values of x for which the function has a discontinuity?
A.1
B.0 and 1
C.–2 and 1
D.–2, 0, and 1
Answer: D. -2, 0, and 1
Step-by-step explanation:
edge2021
The list that represents the values of x for which the function has a discontinuity is 0 and 1
How to determine the list of values?The function is given as:
[tex]f(x)=\dfrac{1}{x(x-1)}[/tex]
Start by setting the denominator to 0
x(x -1) = 0
Split the equation
x = 0 and x -1 = 0
Solve for x
x = 0 and x = 1
Hence, the list that represents the values of x for which the function has a discontinuity is 0 and 1.
Read more about function discontinuity at:
brainly.com/question/9837678
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The length of a rectangle is 15 cm and the width is 8 cm.
Which is the perimeter of the rectangle?
A. 11.5 cm
O B. 23 cm
O C. 30 cm
D. 38 cm
E.46 cm
Answer:
e
Step-by-step explanation:
15 +15+8+8 the a0ns is E
Answer:
E. 46cm
Step-by-step explanation:
Perimeter of a rectangle= 2(l+b)
Length=15 cm, breadth=8cm
Therefore, p= 2(15+8)
=2x23 = 46cm
Can someone please help me with math.
Answer:
Number 19 is A
Number 18 is C
Number 17 is D
Step-by-step explanation:
Easy please help asap!!
I need some help finding the X-coordinate of the circle's center.
Answer:
X = 1
Y = -3
Step-by-step explanation:
The Cartesian coordinate system, also called the rectangular coordinate system, is based on a two-dimensional plane consisting of the x-axis and the y-axis.
A car travels 168 miles on 14 gallons of gas. How many gallons will it need to travel 312 miles?
Answer:
26 gallons of gas
Step-by-step explanation:
168 miles = 14 gallons of gas
312 miles = x gallons of gas
168 miles/14 gallons of gas = 312 miles/x gallons of gas
x = [tex]\frac{312 * 14 }{168}[/tex]
x = 26 gallons of gas
I think this is the answer
Find the perimeter of each polygon
Answer:
it 254 caused i have done it before
What is the x-intercept of the graph whose equation is y+1=x3 ?
0
13
1
3
Answer:
the equation is y= 3x - 1
Step-by-step explanation:
to find the intersection with x just substitute 0 to Y.
0=3x-1
3x=1
x=1/3
The value of x-intercept of the graph whose equation is y + 1 = x³ is,
⇒ 1
We have to given that;
The equation is,
⇒ y + 1 = x³
Now, For x - intercepts;
Put y = 0 in above equation,
⇒ y + 1 = x³
⇒ 0 + 1 = x³
⇒ 1 = x³
⇒ x = ∛1
⇒ x = 1
Thus, The value of x-intercept of the graph whose equation is y + 1 = x³ is,
⇒ 1
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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SIMPLE PROPABIBLITY QUESTION FOR 15 POINTS!!!!
question below
Answer:
Step-by-step explanation:
1/2
Answer: 1/2
Step-by-step explanation:
it just is
CAN I PLEASE GET HELP NOW !!
The answer is option B hope it helped!
Help pleaseeeee?????????
Answer: 550000
Step-by-step explanation: this awnser is really hard so yea
HELP ASAP!!!!! SOMEONE ABLE TO HELP??!?!?
Answer:
(x+c)(x-d)
Step-by-step explanation:
if x²-ax-b=(x-c)(x+d)
from vieta theorem
c + d = -(-a)=a
cd = b
if x²+ax-b
from vieta theorem
c + d = -(a)=-a
cd = b
so the same c d but in opposite sign (x+c)(x-d)
If robert has 8 twenty five-cent , 3 ten-cent, and 4 one cent how much money does Robert has all together ?
Answer:
$2.34
Step-by-step explanation:
8 · 0.25 = $2
3 · 0.10 = $0.30
4 · 0.01 = $0.04
x2-7x+12byx-3 divide of algebraic expression
Answer:
x - 4
Step-by-step explanation:
Please write X2-7x+12 by x-3 as x^2 - 7x + 12. The " ^ " represents exponentiation.
Notice that x^2 - 7x + 12 factors as follows: (x - 3)(x - 4), and so the original division problem
x^2 - 7x + 12 (x - 3)(x - 4)
-------------------- becomes -------------------- = x - 4
x - 3 x - 3
for all x except x = 3 (because we cannot divide by zero).
Help plsssss. It would rly be appreciated
Answer:
Step-by-step explanation:
No Idea!
There were 78 girls trying out for dance. They were placed into groups containing d dancers. How many groups were there, in terms of d? Helppppppoooop
Step-by-step explanation:
The hole never disappears; at the end of the story, the first things that went into the hole come out of the sky and back into the city. There's no sign that the hole is gone
4. Given: AE and BD intersect at C. BA I CA and CDI ED.
Prove: Triangle BAC similar to triangle EDC
Find all of the terms in the following expression
Answer:
A
Step-by-step explanation:
A term can be a positive or negative number. It can also contain a single variable or variables multiplied.
can someone help me on question 8
if you do answer please show your work if that isnt to hard
Answer:
x = -7, y = 3
Step-by-step explanation:
x = -2y - 1
x = 3y - 16
so:
-2y - 1 = 3y - 16
add 2 y to each side of the equation:
-1 = 5y - 16
add 16 to each side:
5y = 15
divide both sides by 5:
y = 3
x = 3(3) - 16 = -7
Find the indicated limit, if it exists.
Answer:
6
Step-by-step explanation:
As x approaches -10 from the left, f(x) approaches -4 + 10 = 6
As x approaches -10 from the right, f(x) approaches -10 + 16 = 6
f(-10) = 6
Putting that all together, we have a limit of 6
Solve. 489.209 + 43.9
Answer:
533.109
Step-by-step explanation:
Just add all the numbers
help i dont know what to do i give brainlist
Answer:
473 yd^3
Step-by-step explanation:
The surface area of the square base is (11 yd)^2, or 121 yd^2.
The surface area of one of the slanting sides of the pyramid is
A = (1/2)(b)(h), which comes to A = (1/2)(11 yd)(16 yd) = 88 yd^2.
Thus, four such sides have a combined surface area of 352 yd^2.
Combining the surface areas of the slanting sides with the base area yields 473 yd^3