Answer:
The height of the beam is: [tex]h=12\: feet[/tex]
Step-by-step explanation:
The radius of the tunnel is r = 15 feet
The distance of the beam from the center of the tunnel is:
[tex]d_{beam}=15-6=9\: feet[/tex]
We have a right triangle, where:
The Hypotenuse is 15 feetOne side is 9 feetThe other side is the height of the beamLet's use Pythagoras theorem.
[tex]15^{2}=9^{2}+h^{2}[/tex]
[tex]h^{2}=15^{2}-9^{2}[/tex]
[tex]h=\sqrt{15^{2}-9^{2}}[/tex]
Therefore, the heigh of the beam is:
[tex]h=12\: feet[/tex]
I hope it helps you!
a = 15 ; b =____________ ; c = 17
Answer:
16
Step-by-step explanation:
b=16
Following the pattern, we can assume that each term adds by 1. So 15+1 = 16.
Find the probability of this event. Enter the answer as a fraction in simplest form, as a decimal to the
nearest hundredth, and as a percent to the nearest whole number.
You choose a movie CD at random from a case containing 2 comedy CDs, 9 science fiction CDs, and
3 adventure CDs. The CD is not a comedy.
The probability of not picking a comedy from the case as a fraction is
The probability of not picking a comedy from the case as a decimal is
The probability of not picking a comedy from the case as a percent is
%.
Answer:
Fraction- 12/14 (6/7)
Decimal- 0.85 or 0.86 (depending if you want to round up)
Percent- 85%
Step-by-step explanation:
Add all of the CD's that arent comedy then put the total number of CD's below. And then take 12/14 and apply it as a decimal and percent and also simplify it if needed.
will give brainliest to the correct answer (no links or account will be reported) :)
Answer:
The third one
Step-by-step explanation:
exterior angles are angles that are outside of the triangle
The angles that are outside of the triangle include ∠4, ∠5 and ∠6
Therefore the correct answer is the third one
An element has a mass of 40g and a volume of 5cm cubed what is the density
Answer:
8 g/cm cube
Step-by-step explanation:
[tex]Density= \frac{mass}{volume}[/tex]
Density = [tex]\frac{40}{5}[/tex]
Density = 8 g / cm cube
Hope this helps :)
Please helpppppp!!!!!!! Bots will be taken down .
step 1
so so s ososoosososososososososososososoosososososzosoosossoosososo
Step-by-step explanation:
The most important thing to remember is: SOH CAH TOA
sin(x) = opposite/hypotenuse
cos(x) = adjacent/hypotenuse
tan(x) = opposite/adjacent
So in #1:
We have the angle and hypotenuse and need to solve for the side opposite of the angle. This smells like a sine question.
sin(42)=x/25
this means that x=25sin(42). Plug that into the calculator and get: 16.73.
(Make sure you are in degrees mode)
For #2:
We are given the angle, the opposite side, and have to solve for the adjacent side. Looks like we need the tangent.
tan(75)=12/x
This means that x=12/tan(75). Calculator says: 3.22
For #3:
We have the angle, adjacent, and have to solve for the hypotenuse. This would be a cosine.
cos(36)=19/x
Solve for x: x=19/cos(36). Calculator says: 23.49
For #4:
We have the angle, adjacent side, and need the opposite side. This is another tangent problem.
tan(53)= x/7
Solving for x: x=7tan(53). Calculator says: 9.29
Jeremiah saved 12.8, on a $250 tablet. How much money did Jeremiah save?
Answer:
Jeremiah saved $32....
Find the slope of the line that passes through the points (–4, 2) and (6, 6).
Answer:
Step-by-step explanation:
point P1 (-4,-2) in the form (x1,y1)
point P2(6,6) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
copy and paste the above formula into word pad on your computer for any problem asking about slope :)
m = [ 6-(-2) ] / [ 6-(-4) ]
m = [ 6+2 ] / [ 6+4 ]
m = 8 / 10
m = 4/5
The required slope of the line is 4/5 which passes through the points (–4, 2) and (6, 6).
What is the slope of the line?The slope of line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
The given Line passes through the points (–4, 2) and (6, 6).
Let
x₁ = -4, y₁ = 2
x₂ = 6, y₂ = 6
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute the values in the above formula and solve for m
m = [ 6-(-2) ] / [ 6-(-4) ]
m = [ 6+2 ] / [ 6+4 ]
m = 8 / 10
Reduce the fraction into a simplest form,
m = 4/5
Thus, the required slope of the line is 4/5 which passes through the points (–4, 2) and (6, 6).
Learn more about Slope of the Line here:
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6.Which is equivalent to the expression 9^2*9^4 ?
F. 81^6
G. 81^8
H. 9^6
I. 9^8
Find the surface area of the rectangular prism.
3 mi
4 mi
1 mi
2
6
+
2
Area
HELP PLEASE
Answer:
X= 40
Step-by-step explanation:
if you compare the shapes, the X square is half of 6. so i added 6 and 3, then 2 and 3, then multiplied it, and the answer is 40.
The equation of two circles are known, circle A’s equation is (x-3)^2+(y+4)^2=9 and circle B’s equation is (x+4)^2+(y+12)^2=8.
What is the radius of circle A and the radius of circle B.
Answer:
Step-by-step explanation:
The circles are written in standard form. The standard form squares the radius on the right hand side.
Circle A
radius = sqrt(9)
radius = 3
Circle B
radius = sqrt(8)
radius = sqrt(2 * 2 * 2)
radius = 2 sqrt(2)
There are 2 yellow, 3 green, 1 orange, and 4 red cards in a stack of cards turned facedown. Once a card is selected, it is not replaced.
Answer:
1/45
Step-by-step explanation:
Here is the complete question
here are 2 yellow, 3 green, 1 orange, and 4 red cards in a stack of cards turned facedown. Once a card is selected, it is not replaced. Find each probability.
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
1. P(two yellow cards)
there are a total of 10 cards and 2 yellows cards. If 1 yellow card is picked, it would remain 1 yellow card and 9 cards
P(two yellow cards) = 2/10 x 1/9 = 1/45
The sum of three numbers is 85. The third number is 7 more than the first. The second number is 2 times the third. What are the numbers?
Answer:
16, 46, 23
Step-by-step explanation:
let the first number be x , then the third number is x + 7 and the second is
2(x + 7) = 2x + 14
Sum the numbers and equate to 85
x + 2x + 14 + x + 7 = 85
4x + 21 = 85 ( subtract 21 from both sides )
4x = 64 ( divide both sides by 4 )
x = 16
x + 7 = 16 + 7 = 23
2(x + 7) = 2(16 + 7) = 2(23) = 46
The numbers are 16, 46, 23
What is the distance between tow points(-1,4)(3,2)
Answer:
2√5
Step-by-step explanation:
Distance = √(x1-x2)² + (y1-y2)²
Distance = √(-1-3)² + (4-2)²
Distance = 2√5
Answer:
[tex]\displaystyle d = 2\sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-1, 4)
Point (3, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(3--1)^2+(2-4)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(4)^2+(-2)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{16+4}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{20}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{5}[/tex]I NEED HELP ANSWER IF YOU KNOW WHAT TO DO??
I’ll give Brainlist!! :))
Answer:
see below
Step-by-step explanation:
CD = 90 - 53 = 37°
AB = 180 - 79 - 53 = 48°
ED = 180 - 37 = 143°
EB = 180 - 53= 127°
BDE = 53 + 37 + 143 = 233°
DEC = 360 - 37 = 323°°
a bike tire is being measured for new tubing the circumference of the tire is 26p find the radius of the tire
pretty sure its 13p
if i'm wrong tell me
please help meee!!!lol
Answer:
X represents the number of product so 3 cause you have 2 pastas and 1 cheese. The length represents the total cost. I think 3 would represent cost? I'm not totally sure on that one. Hope this helps!
Step-by-step explanation:
¼ (16) + 4p plss someone answer I’m desperateeee
Answer:
your answer is p=-1
Step-by-step explanation:
¼ of 16 is 4 so 4+4p to get p alone you subtract 4 from both sides so 4p=-4 then divide both sides by 4 -4/4=-1
The population P of bacteria in a culture after t minutes is given by the equation p=p0 (1.14)^t where P0 is the initail population. If the number of the bacteria starts at 400, how long will it take for he population to incfrease to 2000
Answer:
The time taken is 4.79 minutes.
Step-by-step explanation:
[tex]P = Po(1.4)^{t}[/tex]
initial Population, Po = 400
Final population, P = 2000
Let the time is t.
[tex]2000 = 400(1.4)^{t} \\5 = (1.4)^t\\log 5 = t log 1.4\\0.6989 = 0.146 t \\t = 4.79 minutes[/tex]
Amanda has already run 14 miles on her own, and she expects to run 5 miles during each track practice. How many tracks would it take for Amanda to run 29 miles? heeeeeeeelllllppppp mmmmmeeeee!
Answer:
It will take Amanda 3 track practices to run 29 miles.
Step-by-step explanation:
29-14=15
15/3=5
or
14+5x=29
subtract 14 from both sides
5x=15
divide both sides by 3
x=3
Hope this helps. Brainliest will be appreciated.
Which integer is the most negative -3, -4, -5, -11, -12, -14
Answer:
-14
Step-by-step explanation:
Answer:
-14
Step-by-step explanation:
Need help fast will give brainliest! Please help me solves this equation!
Answer:
x = 15, y = 75
Step-by-step explanation:
hope it helps
Which function has real zeros at x = 3 and x =
7
Answer:
x^2-10x+21
Step-by-step explanation:
(x-3)(x-7)=
x^2-7x-3x-21=
x^2+10x+21
Need help with this
Answer:
i know that the width of the rectangle is two centimeters less then 8 times the length. I also know the perimeter is 68 cm. I need to know the length of the rectangle.
Find an angle α that is coterminal with an angle measuring −460∘, where 0∘≤α<360∘. Do not include the degree symbol in your answer. For example, if your answer is 20∘, you would enter 20.
Answer:
The coterminal angle is 260°
Step-by-step explanation:
Suppose that we have an angle A.
All the coterminal angles to A are written as:
B = A + n*360°
Where n is any whole number.
Notice that if n = 0, we get:
B = A + 0*360° = A
So A is coterminal with itself, which is trivial.
Now we want to find a conterminal angle to -460° such that it is in the range:
0° < α < 360°
So we just need to find a value of n such that:
α = -460° + n*360°
is on the given range.
We can assume that n = 2 will work, let's check:
α = -460° + 2*360° = 260°
α = 260°
And this angle is in the given range:
0° < 260° < 360°
which statements are true about the graph of function f?
f(x)= log x
Answer:
I believe the correct answer here is C!
Step-by-step explanation:
The option (A) is correct.
What is graphs of logarithmic function?"The logarithmic function y = log b x is the inverse function of the exponential function y = b x. We can now proceed to graphing logarithmic functions by looking at the relationship between exponential and logarithmic functions".
For the given situation,
[tex]f(x)=logx[/tex]
Plot the graph of [tex]f(x)=logx[/tex] .
From the graph shown below, the region of the graph lies in the domain of { x|0 < x < ∞ } and approaches as 0 as x decreases.
Hence we can conclude that the option (A) is correct.
https://brainly.com/question/14411373
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Angles please help! Will give brainly .
What is the length of the hypotenuse of a triangle with vertices at(6,−9),(6,−10),and(10,−10)?
A. 10.82
B. 4.12
C. 3.61
D. 5.1
Answer:4.12
Step-by-step explanation: I need brainliest for next rank I’d appreciate it
Helpppppppp plssssss
Answer:
16
Step-by-step explanation:
one side is four the other is four 4x4 is 16
Answer:
8
Step-by-step explanation:
Since its 1/2 cm per cube, each side is 4 cubes, 4x1/2 = 2. 2x2x2 = 8
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
D. All of the above
Step-by-step explanation:
All of those would reach higher than 300 when you go 4 to the right.