A person whose eyes are 5 feet about the ground is standing on the runway of an airport 100 feet from the control tower. That person observes an air traffic controller at the window of the 132-foot tower. What is the angle of elevation?
Answer:
Step-by-step explanation:
132-5 therefore the height from the eyes to the window is 127
100 feet away from the base of the tower
This forms two legs of a triangle
trying to find the degrees of this triangle.
Since its the two legs, you can use tanx which = to opposite side/adjacent side
Therefore, it is tanx = 127/100
But you are looking for x so arctan(1.27)
Must use calculator to find x
Hope this answer helps you :)
Have a great day
Mark brainliest
The ratio of two numbers is 7 : 5. If their difference is 42, find the numbers.
pls...answer my question
its urgent !
Answer:
First number = 147
Second number = 105
Step-by-step explanation:
Let the two numbers be 7x and 5x
7x - 5x = 42
2x = 42
x = 21
First number = 7x = 7 x 21 = 147
Second number = 5x = 5 x 21 = 105
Hope this helps!
In ΔSTU, \text{m}\angle S = (2x+10)^{\circ}m∠S=(2x+10) ∘ , \text{m}\angle T = (3x-9)^{\circ}m∠T=(3x−9) ∘ , and \text{m}\angle U = (6x-19)^{\circ}m∠U=(6x−19) ∘ . Find \text{m}\angle T.M∠T.
Answer: [tex]\text{m}\angle T=45^{\circ}[/tex]
Step-by-step explanation:
Given: In ΔSTU, [tex]\text{m}\angle S = (2x+10)^{\circ}[/tex] , [tex]\text{m}\angle T = (3x-9)^{\circ}[/tex], [tex]\text{m}\angle U = (6x-19)^{\circ}[/tex]
To find: [tex]\text{m}\angle T[/tex].
We know that the sum of all the angles of a triangle is [tex]180^{\circ}[/tex].
In ΔSTU,
[tex]\text{m}\angle S+\text{m}\angle T+\text{m}\angle U=180^{\circ}\\\\ 2x+10+3x-9+6x-19=180\\\\ 11x-18=180\\\\11x =180+18\\\\11x=198\\\\x=\frac{198}{11}\\\\ x=18[/tex]
[tex]\text{m}\angle T = (3(18)-9)^{\circ}\\\\=(54-9)^{\circ}\\\\= 45^{\circ}[/tex]
Hence, [tex]\text{m}\angle T=45^{\circ}[/tex]
Choose the sentence that uses an intensive pronoun. A. Why don't you give yourself a big pat on the back? B. I took the cake to Ayana herself before the party. C. The teacher picked up the stack of papers by herself. D. Our parents gave us confidence to do things ourselves
Using the net below, find the surface area
of the pyramid.
cm
4cm
4 cm
Surface Area
[?] cm2
Answer:
56 cm^2
Step-by-step explanation:
Surface area is just finding the areas of each face in a figure. As we are given a net of a figure, it is much easier for us to calculate it.
Area of square base (side^2)
4^2 = 16 cm^2
Area of ONE triangular face (1/2 x b x h):
1/2 x 4 x 5 = 10 cm^2
Multiply that by 4 because we have 4 triangular faces: 10 cm^2 x 4 = 40 cm^2
ADD all the areas of triangles and square:
16 cm^2 + 40 cm^2 = 56 cm^2
HOPE THIS HELPS
Have a nice day!
Jeffrey made a scale drawing of a house and its lot. He used the scale 7 inches : 4 feet. If the actual width of the backyard is 48 feet, how wide is the yard in the drawing?
Answer:
12
Step-by-step explanation:
Jeffrey made scale drawings of the house a lot
He used a scale of 7 inches: 4 feet
The actual width of the backyard is 48
Therefore the width of the backyard in the drawing is
= 48/4
= 12
Use the diagram to determine which expressions you
can use to find 60% of 90.
Check all that apply.
O 3 x 0.20
O 0.60 x 90
O 0.90 x 0.60
O 3 x 20%
O 3 x 18
(IN A TEST PLEASE HELP)
Answer:
You can use 0.60 × 90, 3 × 18 works as well.
Step-by-step explanation:
Hmmm....let's see.
You can use 0.60 × 90, 3 × 18 works as well. The answer is 54.
We know this because when finding a percentage of a number you multiply that decimal by the number. 2nd option as well as last option could work. Hope this helps, please mark brainliest!
Finding a final amount in a word problem on exponential growt....
A certain forest covers an area of 2600 km². Suppose that each year this area decreases by 5%. What will the area be after 5 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
2012 km squared
Step-by-step explanation:
2600(.95)^5
if its going down by 5 percent, we minus 5 from 100 and put it in decimal form. any decimal lower than 1.00 will result in a lower number. for 5 years, we place 5 as an exponent
uh sorry if that doesn't make a lot of sense
Hi! please help :) ty! (10 points)
Explain the difference between finding the volume of this right rectangular prism with whole unit cubes and with 1/2 unit cubes.
help is appreciated :)
Answer:
Rectangular prisms are six-sided polygons; three-dimensional shapes of which all sides meet at 90-degree angles, like a box. Cubes are a special type of rectangular prism of which all sides are the same length; this is the key difference between cubes and other rectangular prisms.
Step-by-step explanation:
i hope my answer to be appreciated!!
Multiply the rational expressions 2x^2 - 4x - 6 x^2 - 4 ——————- • ——————— x + 2 2x^2 + 2x
Answer:
C =(x-3)(x-2)/x
or
x²-5x+6/x
Step-by-step explanation:
2x^2 - 4x - 6/x + 2 * x^2 - 4/2x^2 + 2x
Factorizing the given factors
1) 2x^2 - 4x - 6
= 2x^2 - 6x+2x - 6
= 2x(x-3) +2(x-3)
= (x-3)(2x+2)
2) x^2 - 4
= (x+2) (x-2)
3) 2x^2 + 2x
= 2x( x+1)
Putting the factors
(x-3)(2x+2)/x + 2 * (x+2) (x-2)/2x( x+1)
= (x-3)(2x+2) (x-2)/2x( x+1)
= 2(x-3)(x+1) (x-2)/2x( x+1)
=(x-3)(x-2)/x
Now multiply
(x-3)(x-2) =x²-5x+6
Then the answer becomes x²-5x+6/x
Is the spinner described below a fair spinner? If yes, explain why. If not describe a change that could make the spinner fair
There are 10 parts on the spinner 4 orange, 5 blue and 1 grey.
Answer:
no
Step-by-step explanation:
because it's unequal
Name the kind or kinds of symmetry the following figure has: point, line, plane, or none. (o)
What is 1 1/2 + 2 3/5
Answer:
i think its 5.7
Step-by-step explanation:
Answer:
4 1/10
Step-by-step explanation:
Rita caught 5 fish. The lengths, in inches, of each tish are listed.
9,13,9, 21, 18
Which statement best represents the meaning of the range for these data?
Given:
The lengths, in inches, of each fish are listed:
9, 13, 9, 21, 18
To find:
The statement that best represents the meaning of the range for these data.
Solution:
The given data values are:
9, 13, 9, 21, 18
Arrange the data values in ascending order.
9, 9, 13, 18, 21
Here, the maximum value is 21 and the minimum value is 9.
We know that,
[tex]\text{Range}=\text{Maximum value}-\text{Minimum value}[/tex]
[tex]\text{Range}=21-9[/tex]
[tex]\text{Range}=12[/tex]
The range of the data set is 12. Therefore, the difference between the shortest and longest fish is 12 inches.
The system of equations above has solution (x,y). What is the value of x?
Answer:
x = 5.25
Step-by-step explanation:
Solve by substitution by substituting 2x as y into the first equation:
1/2(2x + y) = 21/2
1/2(2x + 2x) = 21/2
Simplify and solve for x:
1/2(4x) = 21/2
2x = 21/2
x = 21/4
x = 5.25
So, x = 5.25
Answer:
x = 5.25
step- by - step explanation
1/2 × ( 2x + y ) = 21/2 .............( 1 )
y = 2x ......................( 2 )
substitute the value of y in ( 1 )
1/2 ( 2x + 2 x ) = 21/2
simplify
1/2 ( 2 x + 2 x ) = 21/2
combine like terms
1/2 ( 4x ) = 22/2
Divide the numbers
1/2 ( 4 x ) = 10.5
divide 4 x by 2
4 x / 2 = 10.5
2 x = 10.5
divide each side by 2
2x/2 = 10.5 / 2
x = 5.25
Someone help me please
Answer:
-32..............
......
Answer:
-32.
Step-by-step explanation:
This is basically the same thing as multiplying -2 5 times (-2x-2x-2x-2x-2), and you get -32.
Alma and Oliver both created this blue segment on the previous screen.
Alma used this expression to find the length: $$
Oliver used this expression to find the length: $$
Whose expression is correct?
Alma
Oliver
Both
Neither
Answer:
none
Step-by-step explanation:
that's not the correct sign
15.
Which of the following equations has a graph that crosses the y-axis at a point lower than the graph of y=-2x^2-1?
A. y=-3x^2+3
B. y=-3x^2+1
C. y=3x^2-3
D. y=-3x^2-1
Answer:
C. y=3x^2-3
Step-by-step explanation:
y=3x^2-3 is lower than y=2x^2-1
So C.y=3x^2-3
The answer would be : C. -3x^2-3.
Hope this helps !
(12 points)Please I need this answer right away multiple-choice answer trolls will be reported thank you lovesss
Hopefully one if you can help me And explain
Answer:
It's A
Step-by-step explanation:
B is out, because each step increases the value linearly by 1
C is out, because each step increases the value linearly by 9
D is out, because each step increases the value linearly by 6
A increases fivefold per step
I plotted the given ordered pairs as points on a plot and figured out the exact function for you, just so that you can look at it
Laura rented a movie. She started the movie at 11:32 am and it ended at 2:19pm. How long was the movie?
Answer:
2 hours and 32 minutes
Step-by-step explanation:
John Read a book at 11:32 and stopped at 2:14
What you have to do is add minutes up and hours up until you get to 2:14pm and all the hours and minutes it took to get there you add up and thats ur answer :)
Can somebody help me? Plsss
Answer:
3/10
Step-by-step explanation:
There are 52 cards in a deck. This means that there are four of each one. If all types of all three cards are removed, there are still 40 cards. There are 12 face cards. 12/40 is 3/10
Answer:
3/13
Step-by-step explanation:
Total cards in a deck=52
There are four cards of each number which in this case is 2,3,4
Total of 2s,3s,and 4s=12
12/52 simplify this and u get
3/13
Hope this helps u
3y - 2 = 13 solve for y
Answer:
y = 5
Step-by-step explanation:
3y - 2 = 13
We are solving for y, so we want to isolate it.
Add 2 to both sides.
3y = 15
Continue isolating y by dividing both sides by 3.
y = 5
Check your answer by plugging it back into the original equation.
3y - 2 = 13
3(5) - 2 = 13
Multiply.
15 - 2 = 13
Subtract.
13 = 13
Your answer is correct.
Hope this helps!
Answer:
y = 5
Step-by-step explanation:
Get y by itself:
3y - 2 = 13
+2 +2
3y = 15
Divide by 3:
3y = 13
÷ 3 ÷ 3
y = 5
Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3
Answer:
[tex]968[/tex]
Step-by-step explanation:
[tex]4q(q + 3w)^2 [/tex]
[tex]4(2)[(2)+3(3)]^{2} [/tex]
[tex]8[(2)+3(3)]{}^{2} [/tex]
[tex]8(2+9) ^{2} [/tex]
[tex]8 \times 11 ^{2} [/tex]
[tex]8 \times 121[/tex]
[tex]968[/tex]
Hope it is helpful...What is the length of DF?
Answer:
Step-by-step explanation:
Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.
ine N passes through the points (–1, 4) and (–1, –4).
A coordinate plane.
Which is true of line N?
Line N is a vertical line with an undefined slope.
Line N is a vertical line with a slope of zero.
Line N is a horizontal line with an undefined slope.
Line N is a horizontal line with a slope of zero.
Answer:
Line N is a vertical line with an undefined slope.
Step-by-step explanation:
[tex]{ \tt{slope = \frac{ - 4 - 4}{ - 1 - ( - 1)} }} \\ = { \red{ \tt{! \: math \: error}}}[/tex]
5 plus 6 plus 7 plus 8 plus 9 plus 10 plus 11 plus ... if your answer is random you will be reported
Answer:
56
Step-by-step explanation:
Rearrange 2y+6x=8 to make y the subject of the formula
Answer:
y= 3x+4
Step-by-step explanation:
2y-6x=8
add 6x to each side
2y-6x+6x=6x+8
2y= 6x+8
divide each side by 2
2y/2 = 6x/2 + 8/2
y= 3x+4
Answer:
y = 3x+4
Step-by-step explanation:
2y-6x=8
We want to solve for y
Add 6x to each side
2y-6x+6x=6x+8
2y = 6x+8
Divide each side by 2
2y/2 = 6x/2 +8/2
y = 3x+4
Hope this answer helps you :)
Have a great day
Mark brainliest
If x varies inversely as the square of y and if x=3 when y=-1, what is the value of x when y =3
Answer:
[tex]x[/tex] would be [tex](1/3)[/tex] when [tex]y = 3[/tex].
Step-by-step explanation:
The question states that [tex]x[/tex] varies "inversely" as [tex]y^2[/tex]. In other words, there is a non-zero number [tex]a[/tex] (a constant) such that:
[tex]\displaystyle x = \frac{a}{y^2}[/tex].
The challenging part is to find the value of [tex]a[/tex] in this equation.
Given that [tex]x = 3[/tex] when [tex]y = -1[/tex], replace the [tex]x[/tex] in this equation with [tex]3[/tex] and [tex]y[/tex] with [tex](-1)[/tex]. This equation should still be valid:
[tex]\displaystyle 3 = \frac{a}{(-1)^{2}}[/tex].
Solve for [tex]a[/tex]:
[tex]a = 3 \times (-1)^2 = 3[/tex].
Hence, the relation between [tex]x[/tex] and [tex]y[/tex] becomes:
[tex]\displaystyle x = \frac{3}{y^2}[/tex].
Find the value of [tex]x[/tex] when [tex]y = 3[/tex] by replacing the [tex]y[/tex] in this equation with [tex]3[/tex].
[tex]\displaystyle x = \frac{3}{3^2} = \frac{1}{3}[/tex].
In other words, the value of [tex]x[/tex] would be [tex]\displaystyle \frac{1}{3}[/tex] when [tex]y = 3[/tex].
Write the equation of the line that has a slope of -2 and goes through the point (4, -3)
Answer:
y = - 2x + 5
Step-by-step explanation:
m , ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~
m = - 2 and ( 4 , - 3 )
y - ( - 3 ) = - 2( x - 4 )
y + 3 = - 2x + 8
y = - 2x + 5
Question is in the image below
9514 1404 393
Answer:
A) r = d/t
B) 221,760 ft/h
C) 42 mi/h
D) miles; the number is more comprehensible
Step-by-step explanation:
A) Given d = rt
Divide by the coefficient of r to solve for r.
r = d/t
__
B) Fill in the given numbers to find the rate in ft/h.
r = (665,280 ft)/(3 h) = 221.760 ft/h
__
C) Multiply by the conversion factor (1 mi)/(5280 ft) to convert to miles.
(221,760 ft/h)(1 mi)/(5280 ft) = 42 mi/h
__
D) For this scenario, miles per hour is a better unit for speed. Many people have seen that speed registered on a speedometer, so have some sense of what it means. Often numbers outside the range of 1 to 1000 are beyond ready comprehension.