Geometry
The two legs squared could equal the hypotenuse, c.
(a and b could be either 36 or 15, there's not a way to confirm which is which)
[tex]a^{2} + {b}^{2} = {c}^{2} [/tex]
15^2+36^2=c^2
225+1296=c^2
√1521=√c^2
c=39
An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport. What angle of depression does the airplane need to use to reach the runway?
Given :
An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport.
To Find :
What angle of depression does the airplane need to use to reach the runway?
Solution :
Let, angle of depression is [tex]\theta[/tex] .
So,
[tex]tan\ \theta = \dfrac{ Altitude \ in \ which \ plane \ is \ flying}{Horizontal \ Distance}\\\\tan \ \theta = \dfrac{37000}{5280}\\\\tan \ \theta = 7.00\\\\\theta = tan^{-1} 7\\\\\theta = 81.87^o[/tex]
Hence, this is the required solution.
Student spend 5 minutes of every 60 minutes at school moving from class to class. Which fraction is equivalent to the number of minutes student spend moving from class to class?
Answer:
10/120
Step-by-step explanation:
Twice a number divided by 5 gives 4
simple equations
Answer:
x=10
Step-by-step explanation:
Let the number = x
∴ 2x/5=4
∴2x=5*4
∴2x=20
∴x=20/2
∴x=10
Hope it helps you!
Mark as brainliest if you like it
Answer:
2x / 5 = 4
x = 10
Step-by-step explanation:
Twice a number divided by 5 gives 4
2x / 5 = 4
2x / 5 = 4
Multiply both sides by 5
2x = 20
Divide both sides by 2
x = 10
Choose all of the following relationships that represent functions
I need help I have been stuck on this for years. Plz anything helps
9514 1404 393
Answer:
see below
Step-by-step explanation:
Perhaps you're stuck because it is too simple. If any value in the x-column is repeated, the relation is not a function.
Of the two relations shown, the first is not a function (x=3 is repeated), and the second one is a function (all the x-values are different).
Your checking account is in debt $20. You use this account to make a $10 purchase. Then, you deposit $38 into the account. What is the balance of the checking account?
Answer: 8
Step-by-step explanation
Answer:
$8
Step-by-step explanation:
If we just keep track of the money in the account, we can solve this pretty quickly. If the balance is -20, and we subtract another 10 from it, it gives us -30. $38 is then deposited into the account, giving us a balance of $8.
[tex]-20-10+38=8[/tex]
what triangle has the Definition A right triangle in which the legs are congruent.
9514 1404 393
Answer:
An isosceles right triangle
Step-by-step explanation:
Any triangle with a congruent pair of sides is an isosceles triangle. If the triangle is also a right triangle, it is ...
an isosceles right triangle
__
The sides will have the ratios 1 : 1 : √2, and the acute angles will be 45°.
Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. The local Tupperware dealers earned these commissions last month: $1077.28, $2661.13, $4642.11, $4264.15, $1019.55, $3444.20, $2525.92, $3740.26, $3533.07, $1633.84 What was the mean commission earned? Round your answer to the nearest cent.
Answer:
the mean commission earned is 2854.15
Step-by-step explanation:
The computation of the mean commission earned is shown below'
The mean is
= ($1077.28 + $2661.13 + $4642.11 + $4264.15 + $1019.55 + $3444.20 + $2525.92 + $3740.26 + $3533.07 + $1633.84) ÷ 10
= 2854.15
Hence, the mean commission earned is 2854.15
The same should be considered and relevant
Let f(x) = 3x + 5 and g(x) = x2. Find and state its domain.
Answer:
The answer f (x^2) = 3x^2 + 5
Step-by-step explanation:
hmm... i don't really know how to explain how I did it but that's the answer
Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
4
4 - 6x
A. 8+226x
16 - 6x
B. 8+ 2162
846
C.
2 + V6
4- 6x
D. 8. 216
8 - 3x
UN
1. 8^3 * 8^2, 8^5, and (2^3)^5
2. 6^9, and 6^5 x 6^4
Answer:
8+2√6x / 8-3x
Step-by-step explanation:
yes
Someone tell me what the answer
Answer:
can you please put a better picture?
Help me...!
!!
!!
!!
!!
The answer to this question is:
2 ¾ inches.
2x + y = 19
-2y - 2x = -22
please show step by step
Answer:
the value of x = 3 and y = 3
Step-by-step explanation:
2x + y = 9 ------------ (1)
-2y -2x = -22 ------------ (2)
Subtract (1) from (2)
-2x -2y = -22
2x + y = 19
----------------------
-y = -3
y = 3
Put the value of y in equation 1
2x + y = 9
2x + 3 = 9
2x = 9 - 3
2x = 6
x = 6/2
x = 3
Therefore, the value of x = 3 and y = 3
Hope u understand
Please mark as brainliest
Thank You
- Leona Bahr is paid a commission of 12% on all sales above $7,000 for the week. She is also paid a weekly salary of $380. What are her total earnings for a week in which her sales were $9,800?
Answer:
716
Step-by-step explanation:
9800-7000=2800 sales over 7000
2800 x .12=336 commission
380 (salary) + 336 (commission)=716 Total earnings
3. A pupil left home for school at a speed of
5 km/h and returned at a speed of 4 km/h
The whole journey took 5 h 24 min.
How far is the school from home, in
kilometres
A 9
B. 12
C. 24
D. 27
Answer:
12 km
Step-by-step explanation:
5h 24min = 5.4 hrtime = distance / speed--------------------------------
time out + time back = total time
d/5 + d/4 = 5.4
multiply both sides by 20 to clear the fractions
4d + 5d = 108
9d = 108
Divide both sides by 9
d = 12 km
Can someone help me please
Answer:
-2.5
Step-by-step explanation:
We need to find the slope using and two points
m = ( y2 -y2)/(x2-x1)
= ( 25-20)/(-10 - -8)
= 5/( -10+8)
= 5/-2
- 2.5
r- 17.3 = -3.2 what's the answer to this?
The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise all tourism related costs by 10%. Find the coefficient of variation for the cost of a week long vacation in this city after the tax is imposed.
Answer:
The coefficient of variation after the tax is imposed is 0.033
Step-by-step explanation:
Given
[tex]\mu =1000[/tex] --- mean
[tex]\sigma^2 = 1200[/tex] --- variance
[tex]tax = 10\%[/tex]
Required
The coefficient of variation
The coefficient of variation is calculated using:
[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]
After the tax, the new mean is:
[tex]\mu_{new} = \mu * (1 + tax)[/tex]
[tex]\mu_{new} = 1000 * (1 + 10\%)[/tex]
[tex]\mu_{new} = 1100[/tex]
And the new variance is:
[tex]\sigma^2_{new} = \sigma^2 * (1 + tax)[/tex]
[tex]\sigma^2_{new} = 1200 * (1 + 10\%)[/tex]
[tex]\sigma^2_{new} = 1320[/tex]
So, we have:
[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]
[tex]CV = \frac{\sqrt{1320}}{1100}[/tex]
[tex]CV = \frac{36.33}{1100}[/tex]
[tex]CV = 0.033[/tex]
Which equivalent to (11-9)^3x2
Answer:
11-9=2 then, 2^3=8 , finally 8X2=16
Step-by-step explanation:
remember order of operations
accounting equation is what
La abuela de Jorge, cuando llegan las fechas navideñas, reparte 120 € entre los tres nietos de la siguiente forma: Jorge, como es el mayor, recibe 10 € más que su prima Alejandra, y esta 10 € más que la prima pequeña Marina. ¿Cuánto dinero recibe cada uno?
Answer:
Marina recibe 30 euros, Alejandra recibe 40 euros y Jorge recibe 50 euros.
Step-by-step explanation:
Dado que la abuela de Jorge, cuando llegan las fechas navideñas, reparte 120€ entre los tres nietos de la siguiente forma: Jorge, como es el mayor, recibe 10 € más que su prima Alejandra, y esta 10 € más que la prima pequeña Marina, para determinar cuánto dinero recibe cada uno se debe realizar el siguiente cálculo:
J = A + 10
A = M + 10
M = M
J + A + M = 120
A + 10 + M + 10 + M = 120
M + 10 + 10 + M + 10 + M = 120
3M + 30 = 120
3M = 120 - 30
M = 90 / 3
M = 30
Por lo tanto, Marina recibe 30 euros, Alejandra recibe 40 euros y Jorge recibe 50 euros.
Hello if you're able to answer this question for me please do and provide work, Thank you
How many 3-letter words can we make from the letters A, B, C, and D, if we are allowed to repeat letters, and we must use the letter A at least once? (Here, a word is an arbitrary sequence of letters.)
2. Evaluate the expression when x = 7 and y = 4 x * y - 4(2)
Answer:
20
Step-by-step explanation
7*4=28
28-4=24
4(2)=8
28-8=20
hope that helped!!
Answer:
y = 8/27
Step-by-step explanation:
given
x = 7
y = 4x*y - 4(2)
y = 4*7*y - 8
y = 28y - 8
8 = 28y - y
8 = 27y
8/27 = y
to prove
y = 4x*y - 4(2)
8/27 = 4*7*y - 8
8/27 = 28*8/27 - 8
8/27 = 224/27 - 8
8/27 = 224 - 27*8/27
8/27 = 8/27
hence it is proved that y is 8/27 .
Quadratic
4x2+8x+27=88
Answer:
Step-by-step explanation:
Answer:
4x²+8x+27=88
[tex]x = \frac{2 - \sqrt{65} }{2} \\ x = \frac{2 + \sqrt{65} }{2} \\ [/tex]
x= 3.03 , –5.03
4th grade math question
Answer:
1 1/6
Step-by-step explanation:
the problem is asking you to do 1/6 7 times. Lets break it down and make it 1/6 plus 1/6 plus 1/6 plus 1/6 plus 1/6 plus 1/6 plus 1/6
so lets add the all the numerators 1 plus 1 plus 1 plus 1 plus 1 plus 1 plus 1 is 7
the numerator value is 7 and you dont add the denominator so it stays as 6
so the answer is 7/6 or 1 1/6 as a mixed number
Answer:1 1/6
Step-by-step explanation: The answer is one and one sixth because when you imagine that the 7 is over one, when you times it you get 7/6 and that is 1/ 1/6
Which of the following is a point-slope equation of a line that passes through
the points (10,5) and (4, - 7)?
O A. y-10 - -2(x-5)
B. y-5 = 2(x-10)
O C. y-10 - 2(x - 5)
O D. y-5--2(x-10)
Answer:
Step-by-step explanation:
In order to write the equation of the line in point-slope form that goes through those points, we need to know the slope of that line. Therefore,
[tex]m=\frac{-7-5}{4-10}=\frac{-12}{-6}=2[/tex] So the slope is 2. Now we'll pick a point and use it to write an equation in point-slope form. I'll use the first point given to see if that's the one used in any of the answers : (10, 5)
y - 5 = 2(x - 10). That's choice B. Let's see, just in case there are 2 answers to this, what the equation would be using the other point (4, -7):
y - (-7) = 2(x - 4) and simplified:
y + 7 = 2(x - 4) is the other equation. Since that's not a choice, the only answer is B
The points (-6, r)
and
(6,3) lie on a line with slope 3/4. Find the missing coordinate r.
Answer:
r=-6
Step-by-step explanation:
[tex]m=\frac{y2-y1}{x2-x1} \\\frac{3-r}{6-(-6)} =\frac{3}{4} \\4(3-r)=3(12)\\12-4r=36\\-4r=24\\r=-6[/tex]
Can anyone solve this?
Answer:
They are congruent
Step-by-step explanation:
The reason that WK is congruent to WL is because both come from the same origin of W and they both end up in the same place on their side. Which means if WK and WL are congruent, that means that AK and AL are congruent as well.
AB|CD
Find the value of x.
Answer:Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
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Graph the circle x2 + y2 – 14x + 2y +41 = 0.
y
9
7
8
7.
6+
5.
4
3-
2+
-9-8-7-6-5-4-3-2
+++ 2
2 3 4 5 6 7 8 9
-2
-3
-4
-5
-6-
-7
Answer:
a
Step-by-step explanation: