Upon descent, an airplane is 20,000 feet above the ground. The air traffic control tower is 200 feet tall. It is determined that the angle of elevation from the top of the tower to the plane is 15°. To the nearest mile, find the ground distance from the airplane to the tower.
Answer:
Base length of plane from control tower = 73,880 feet (Approx.)
Step-by-step explanation:
Given:
Height of plane from ground = 20,000 feet
Height of control tower = 200 feet
Angle of elevation from control tower = 15°
Find:
Base length of plane from control tower
Computation:
Height of plane from control tower = 20,000 - 200
Height of plane from control tower = 19,800 feet
Tan θ = Perpendicular / Base
Tan15 = 19,800 / Base length of plane from control tower
0.268 = 19,800 / Base length of plane from control tower
Base length of plane from control tower = 73,880 feet (Approx.)
I’ll mark as brainliest!!!! Plz no links
note: I don’t really like giving people answers. I like them to learn:
To find a(n) area of a triangle, all you need to do is use the triangle shape to make a rectangle and then calculate the area of the rectangle and divide it by the number of triangles you used to make the triangle.
for your triangle I can imagine it needs four triangles to make a rectangle.
unless you want to multiply 1/2x6x11 to get your answer.
hope this helped !
Find the value of x
Answer:
11
Step-by-step explanation:
[tex]\left(6x+4\right)+10x=180[/tex]
[tex]16x+4-4=180-4[/tex]
[tex]16x=176[/tex]
[tex]\frac{16x}{16}=\frac{176}{16}[/tex]
[tex]x=11[/tex]
Last year the Debate club had 12 members. This year there are 16 members in the club. Estimate the percent change in the number of club members.
Answer:
Around 33.33% increase
Step-by-step explanation
Simplify: (3x2 + 4x – 3) - (4.x2 – 3x + 2)
Answer:
[tex] - {x}^{2} + 7x - 5[/tex]
Step-by-step explanation:
Hope it is helpful....
Find the number that makes the ratio equivalent to 1:2.
9:
Answer:
9:18
Step-by-step explanation:
1:2 means that you have to multiply the first number by 2 to get the second number. Therefore, you have to multiply 9 by 2, which is equal to 18. Therefore, it would be 9:18.
If this has helped please mark as brainliest
can somone help im trying to get my grades up higher in math but im quite not understanding. i also have allot of passed due. can someone help me that knows 8th grade math or anyone?
Answer:
I think it is 5 units left and 7 units down, then rotate 270°.
Step-by-step explanation:
HOPE THIS HELPS YOU!!! :) :) :) :) :)
SORRY IF IT'S WRONG. :) :) :) :) :)
Can someone please help me with this
Answer:
8*3=24
24 yd^2
3*8
Step-by-step explanation:
Select the correct answer.
Which graph represents a function?
Answer:
B
Step-by-step explanation:
graph A does not appear to pass the 'vertical line test'
hello please help i’ll give brainliest
Answer:
Ahimsa, it means 'non-injury' and 'non-killing'
Write an equation in slope intercept form of the line that passes through the points
Answer:
B
Step-by-step explanation:
Y=MX+C , where y=slope intercept, m=gradient and C=y-intercept
-5=6(-6)+c
-5=-36+c
-5+36=c
C=31
Hence,
y=MX+c
y=6x+31
The plot shown to the right displays the number of books read last month by nine students. What is the median number of books read by nine students?
A) 2
B) 1 1/3
C) 1
D) 0
Mr Johns surveyed students in his math classes to determine how many hours they use their cell phones each day. The results are shown in the dot plot below what is the range of his data
Answer:
17
Step-by-step explanation:
Range is the biggest number minus the smallest number. So 20-3=17
In parallelogram HJKL if m
Answer:
24
Step-by-step explanation:
if you add all of them together u get 108 divide it by 44 and u get 24
Answer:
70
Step-by-step explanation:
∠J and ∠K are supplementary angles
Supplementary angles have a sum of 180°
Thus, ∠J + ∠K = 180
110 + ∠K = 180
subtract 110 from each side
180 - 110 = 70
110 - 110 cancels out
we're left with ∠K = 70°
Which expression is equivalent to
5-1/5-2
Answer:
5
Step-by-step explanation:
(1/5)/(1/25) = 25/5 =5
negative exponents means the numbers flip
Answer:
4/3 I think hope it works
Find the rectangle that has:
Area 24 square feet
Perimeter = 20 feet
PLEASE HELP ME
Answer:
option E
Step-by-step explanation:
have a great day
A diagram shows a kite and its frame.
Answer:
indeed it does
Step-by-step explanation:
wheres the diagram exactly?
What is the quotient of 6.58* 10^6 and 4.7×10^3
expressed in scientific notation?
Answer:
1.4 · 10³
Step-by-step explanation:
6.58 · [tex]10^{6}[/tex] ÷ 4.7 · 10³
6.58 ÷ 4.7 = 1.4
[tex]10^{6}[/tex] - 10³ = 10³
1.4 · 10³
Answer:
3.0926 x 10^10
Step-by-step explanation:
A shop has a sale and reduces all its prices at the rate of 15k in naira. Find the sale price of an article marked at 740 naira.
Answer:
Sales price of article = 629 naira
Step-by-step explanation:
Given:
Discounted rate = 15%
Marked price of article = 740 naira
Find:
Sales price of article
Computation:
Sales price of article = Marked price of article [1 - Discounted rate]
Sales price of article = 740[1 - 15%]
Sales price of article = 740[1 - 0.15]
Sales price of article = 740[0.85]
Sales price of article = 629 naira
Please help me, I haven't learned this yet so I have no idea what to do.
I am giving 30 points for this.
Ann increased the quantities of all the ingredients in a recipe by 60% 60, percent. She used 808080 grams (g) of cheese. How much cheese did the recipe require?
Answer:
50 gram
Step-by-step explanation:
The actual percentage recipe = 100%
Percentage Increase in recipe = 60%
Recipe used as a result of increment = 80 gram
Hence,
100% + 60% = 80
160% = 80g
If :
160% = 80
100% = x
Cross multiply
1.6x = 80 * 1
1.6x = 80
x = 80 / 1.6
x = 50
Recipe required 50 gram
(1, -3) and (0,-1)
Equation: y=-2x-1
Slope:-2
Y-intercept:___?
Answer:
-1
Step-by-step explanation:
can some help 10 points and brainllest for the first answer
Answer:
1. 24w+8
2. 4s+28t
3. 150-75b
The coordinates of the vertices of parallelogram MATH are M(-7,5), A(6,5), T(4,-2), and H(-9,-2). What are the coordinate of G, the point of intersection of diagonals MT and ?
Answer:
[tex]G = (-1.5,1.5)[/tex]
Step-by-step explanation:
Given
[tex]M = (-7,5)[/tex]
[tex]A = (6,5)[/tex]
[tex]T = (4,-2)[/tex]
[tex]H = (-9,-2)[/tex]
Required
Determine the coordinate of G
From the complete question, G is at the intersection of MT and AH.
So, G is calculated using midpoint formula
[tex]G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]
For MT:
[tex]M = (-7,5)[/tex] [tex]T = (4,-2)[/tex]
[tex]G = \frac{1}{2}(-7 + 4, 5 -2)[/tex]
[tex]G = \frac{1}{2}(-3, 3)[/tex]
Open bracket
[tex]G = (-1.5,1.5)[/tex]
To show that [tex]G = (-1.5,1.5)[/tex]
We have:
[tex]A = (6,5)[/tex] [tex]H = (-9,-2)[/tex]
[tex]G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]
[tex]G =\frac{1}{2}(6-9,5-2)[/tex]
[tex]G = \frac{1}{2}(-3, 3)[/tex]
Open bracket
[tex]G = (-1.5,1.5)[/tex]
Hence, the coordinates of G is:
[tex]G = (-1.5,1.5)[/tex]
solve for x please helppp!!!
Answer:
95.2
Step-by-step explanation:
because u multiply 8.5 by 11.2 and get 95.2
You deposit $6000 in an account that earns 3% annual interest. Find the balance after 6 years if this interest is
compounded with the given frequency.
solve each inequality and show work.
1) 4x - 2 > 2x + 8
2) -3x - 6 > 4x - 20
3) 4(x + 1) < 3x - 2
4) 2x + 3 + x < -2x + 1 + 12
5) 2(x - 1) > 4x + 4 - 5x
6) 2 + 4x -7 < 8x + 2 - 2x
Answer: Use the app photo math, you just take a picture and it gives you the answer and shows you the steps:)
1) x> 5
2) x< 2
3) x<-6
4) x< 2
5) x> 2
6) x> - 7/2
Step-by-step explanation:
See the images below for the work:) The images will be in order with the number the first problem will be the answer to the first.
Answer:
[tex]\sf 1)\:4x - 2 > 2x + 8[/tex]
Add 2 from both sides:
[tex]\sf 4x-2+2>2x+8+2[/tex]
[tex]\sf 4x>2x+10[/tex]
Subtract 2x from both sides:
[tex]\sf 4x-2x>2x+10-2x[/tex]
[tex]\sf 2x>10[/tex]
Divide both sides by 2:
[tex]\sf \cfrac{2x}{2}>\cfrac{10}{2}[/tex]
[tex]\boxed{\sf x>5}[/tex]
_______________________________
[tex]\sf 2)\: -3x - 6 > 4x - 20[/tex]
Add 6 from both sides:
[tex]\sf -3x-6+6>4x-20+6[/tex]
[tex]\sf -3x>4x-14[/tex]
Subtract 4x from both sides:
[tex]\sf -3x-4x>4x-14-4x[/tex]
[tex]\sf -7x>-14[/tex]
Multiply both sides by -1:
[tex]\sf\left(-7x\right)\left(-1\right)<\left(-14\right)\left(-1\right)[/tex]
[tex]\sf 7x<14[/tex]
Divide both sides by 7:
[tex]\sf \cfrac{7x}{7}<\cfrac{14}{7}[/tex]
[tex]\boxed{\sf x<2}[/tex]
_______________________________
[tex]\sf 3)\: 4(x + 1) < 3x - 2[/tex]
Apply distributive property:
[tex]\sf 4x+4<3x-2[/tex]
Subtract 4 from both sides:
[tex]\sf 4x+4-4<3x-2-4[/tex]
[tex]\sf 4x<3x-6[/tex]
Subtract 3x from both sides:
[tex]\sf 4x-3x<3x-6-3x[/tex]
[tex]\boxed{\sf x<-6}[/tex]
_______________________________
[tex]\sf 4)\: 2x + 3 + x < -2x + 1 + 12[/tex]
Combine like terms:
[tex]\sf (2x+x)= 3x[/tex]
[tex]\sf( 1+12)=13[/tex]
[tex]\sf 3x+3<-2x+13[/tex]
Subtract 3 from both sides:
[tex]\sf 3x+3-3<-2x+13-3[/tex]
[tex]\sf 3x<-2x+10[/tex]
Add 2x from both sides:
[tex]\sf 3x+2x<-2x+10+2x[/tex]
[tex]\sf 5x<10[/tex]
Divide both sides by 5:
[tex]\sf \cfrac{5x}{5}<\cfrac{10}{5}[/tex]
[tex]\boxed{\sf x<2}[/tex]
________________________________
[tex]\sf 5)\: 2(x - 1) > 4x + 4 - 5x[/tex]
Combine like terms:
[tex]\sf (4x-5x)=-x[/tex]
[tex]\sf 2\left(x-1\right)>-x+4[/tex]
Apply distributive property:
[tex]\sf 2x-2>-x+4[/tex]
Add 2 from both sides:
[tex]\sf 2x-2+2>-x+4+2[/tex]
[tex]\sf 2x>-x+6[/tex]
Add x from both sides:
[tex]\sf 2x+x>-x+6+x[/tex]
[tex]\sf 3x>6[/tex]
Divide both sides by 3:
[tex]\sf \cfrac{3x}{3}>\cfrac{6}{3}[/tex]
[tex]\boxed{\sf x>2}[/tex]
_______________________________
[tex]\sf 6)\: 2 + 4x -7 < 8x + 2 - 2x[/tex]
Subtract 2 from both sides:
[tex]\sf 2+4x-7-2<8x+2-2x-2[/tex]
[tex]\sf 4x-7<8x-2x[/tex]
Combine like terms:
[tex]\sf (8x-2x)=6x[/tex]
[tex]\sf 4x-7<6x[/tex]
Add 7 from both sides:
[tex]\sf 4x-7+7<6x+7[/tex]
[tex]\sf 4x<6x+7[/tex]
Subtract 6x from both sides:
[tex]\sf 4x-6x<6x+7-6x[/tex]
[tex]\sf -2x<7[/tex]
Multiply both sides by -1:
[tex]\sf \left(-2x\right)\left(-1\right)>7\left(-1\right)[/tex]
[tex]\sf 2x>-7[/tex]
Divide both sides by 2:
[tex]\sf \cfrac{2x}{2}>\cfrac{-7}{2}[/tex]
[tex]\boxed{\sf x>-\frac{7}{2}}[/tex]
_______________________________________
56. What is the domain and range of the
graph below?
9514 1404 393
Answer:
domain: x ≥ -5range: y ≥ -1Step-by-step explanation:
The graph of this square root function extends upward and to the right of the point (-5, -1). The domain is the horizontal extent of the graph, so is ...
x ≥ -5
The range is the vertical extent of the graph, so is ...
y ≥ -1
A soup can will have a radius of 4 cm and a
height of 10.5 cm. How much metal is needed
to make the can?
Answer:
It's about 365 cm²Step-by-step explanation:
2×πr² + 2πr×h =
= 2×π×4² + 2π×4×10.5 =
= 32π + 84π =
= 116π ≈
≈ 364.42 cm²
The total metal needed to make the can is 364.42 square centimeters if the soup can will have a radius of 4 cm and a height of 10.5 cm.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We have:
The radius of the soup can r = 4 cm
The height of the soup can h = 10.5 cm
We know the surface area of the cylinder:
[tex]\rm S = 2\pi r(r+h)[/tex]
[tex]\rm S = 2\pi \times 4(4+10.5)[/tex]
S = 364.42 square cm
Thus, the total metal needed to make the can is 364.42 square centimeters if the soup can will have a radius of 4 cm and a height of 10.5 cm.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ2
How do you find the radius of a cylinder?
My own question no answer choices.
Plz no bit links. 15 points and plz describe well.
Answer:
√(V / π × h), where V is the volume of the cylinder, h is the height, and π(Pi) is a mathematical constant with an approximate value of 3.14
Answer:
√(V / π × h)
Step-by-step explanation:
Radius of the cylinder ---> √(V / π × h)
V = volume of the cylinder
h = height of the cylinder
π = Pi ( approximate value of pi is 3.14)