Keith needs to build a bridge to go across a pond. He has been able to collect the following measurements. About how long does this bridge need to be
Answers
Answer:
[tex]\Huge\boxed{11.9}[/tex]
Step-by-step explanation:
Hello There!
Basic Concepts
Geometry
Once again we are going to need to use trigonometric ratios to solve for a missing side length (the length of the bridge)
Here are the trigonometric ratios
Sine - Opposite over Hypotenuse
Cosine - Adjacent over Hypotenuse
Tangent - Opposite over Adjacent
For the angle that has a measure of 50 degrees
we are given its adjacent side length and we need to find its opposite
When working with the opposite side length and adjacent side length we use the trigonometric ratio tangent
Knowing which trigonometric ratio we are going to use we have to create an equation
Remember tan = opposite over adjacent
So we plug in the given information and solve for the missing information ( In this case the opposite side length)
[tex]tan(50)=\frac{x}{10}[/tex]
Basic Algebra
Now we solve for x
Like always we want to isolate the variable
First we want to get rid of the 10
x is being divided by 10 and the inverse of division is multiplication
So we multiply each side by 10
[tex]tan50*10=10tan50\\\frac{x}{10} *10=x\\[/tex]
now we have
[tex]10tan50=x\\[/tex]
finally we plug in 10tan50 into a calculator to get the value of x
we get that x = 11.91753594
Our last step is to round to the nearest tenth
We can conclude that the answer is 11.9
The bridge needs to be 11.92 feet long by calculating the tangent of the given angle.
What is tangent of an angle?Tangent of an angle in a right-angled triangle is the ratio of the height to the base of the triangle.
Let, the bridge is x ft. long.
Therefore, tan 50° = [tex]\frac{x}{10}[/tex].
⇒ x = 10 × tan 50°
⇒ x = 10 × 1.192
⇒ x = 11.92
Therefore, the bridge is 11.92 ft. long.
Learn more about tangent of angle here: https://brainly.com/question/14346186
#Tag #SPJ2
Related Questions
You randomly chose a marble from a har. The jar contains 3 red marbles, 10 blue marbles, 8 green marbles, and 4 yellow marbles. Which is the probability of choosing a blue marble?
A. 10/27
B. 2/5
C. 1/5
D.8/25
Answers
All marbles together is 25. the fraction would be. 10/25. The fraction simplified would be 2/5
(Sorry if this explanation isn’t good. This is my first time answering)
I’m giving 30 points please help
Answers
Answer:
Triangle A
Step-by-step explanation:
Because in the picture it shows the grid and if you look closely you can see the points on the x and y axis, (3,2) (4,7) and (5,6) are the three points formed to make triangle A.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer:
C
Step-by-step explanation:
250 represent the amount of money that they started off with
1.05 represent how much the money in the account is increasing by
and x represent the amount of months that have passed
Draw the polygon with the given in a coordinate plane (0,4) ( 10,8) ( 7,4) ( 10,2 ) ( 5,0)
Answers
Answer:
Step-by-step explanation:
Answ
Naäamlaa. in faDlik. shukran. äafwan. aläafw. arjuu almaädhirasabaaH alkhayr.
Joe drinks 10 liters of water every week. There are approximately 19 liters in 5 gallons. How many gallons of water would Joe drink in 3 weeks? (round to nearest whole number for answer, there are 2 steps to this problem first set up proportion)
Answers
Answer:
8gallons
Step-by-step explanation:
If Joe drinks 10 liters of water every week, then;
10liters = 1 week
After 3weeks;
x litres =3 weeks
Divide both expressions
10/x = 1/3
x = 3*10
x = 30litres
This means he consumes 30litres in 3 weeks
If there are approximately 19 liters in 5 gallons, the;
19litres = 5gallons
To determine the number of gallons consumed in 3 weeks;
30litres = y
Divide both expressions
19/30 = 5/y
Cross multiply
19 * y = 30*5
19y = 150
y = 150/19
y = 7.89
y ≈ 8 (to nearest whole number)
Hence Joe drinks 8gallons of water in 3weeks
What is the principal square root of /25?
5
25
50
125
Answers
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
ESCRIBE LA EXPRESION ALGEBRAICA : Paul tenía S/ e. Compró un libro y recibió S/ 3 de vuelto. ¿Cuánto costó el libro en términos de e? *
Answers
Answer:
p(e)=e-3
Step-by-step explanation:
De acuerdo a la información proporcionada, sabes que Paul tenía una determinada cantidad e y al comprar el libro recibió 3 de vuelto, lo que significa que el precio del libro sería igual a restar 3 de la cantidad que tenía al inicio, lo cual se puede expresar de la siguiente forma:
p(e)=e-3, donde
p es el precio del libro
e es la cantidad que Paul tenía al inicio
Someone please help me!!!!!
Answers
7) 1/8 times 160/1 = 20
20 Points for 4 questions. BRAINLIEST also
Answers
Answer:
Image #1: -8 and 8
Image #2: -17 and -1
Image #3: 8 and 4
Image #4: -10±5√2
PLZZZ HELP 25 POINTS HERE PLZZZ HELP
Answers
Answer:
Step-by-step explanation:
The first one is a wide U above the X axis.
The second one is an upside down U below the X axis.
The third one is a narrow U above the X axis.
The center of the U should always be the origin.
Answer:
Step-by-step explanation:
In a random sample, 3 of 400 computer chips are defective. Based on
the sample, how many chips out of 100,000 would you expect to be
defective?
Answers
Answer:
750 of 100,000 chips would be expected to be defective.
Step-by-step explanation:
(3/400) and (?/100,000)
100,000 ÷ 400 = 250.
Multiply 250 by 3 to find the number of defective chips.
250 x 3 = 750.
I need help please, I will give brainliest to the first person that answers
Answers
Answer:
it is C
Step-by-step explanation:
A rectangular prism has a length of 12 centimeters, a width of 6 centimeters, and a height of 9 centimeters. A cross section is formed by the prism and a plane that intersects the prism as shown. Find the area of the cross section.
Answers
Therefore the area of the cross section is 72.
Solve these simultaneous equations:
2x + 4y = 38
7x - 4y =7
Answers
Answer:
Step-by-step explanation:
Answer:
x=5, y=7
Step-by-step explanation:
2x+4y= 38
+7x-4y= 7
9x= 45
9x/9= 45/9
x=5
2x+4y=38
2(5)+4y= 38
10+4y= 38
-10 -10
4y= 28
4y/4= 28/4
y=7
A jet, cruising at 26,400 feet, begins its descent into JFK Airport, when it is 96 miles away. Another jet, cruising at 31,680 feet, is 120 miles from JFK when it begins its descent. Which of these two paths of descent is steeper? Is a linear model reasonable to use in this situation? Explain.
Answers
9514 1404 393
Answer:
first jet is steeper; not unreasonable
Step-by-step explanation:
The slopes in feet per mile for the two jets are ...
(26,400 ft)/(96 mi) = 275 ft/mi
(31,680 ft)/(120 mi) = 264 ft/mi
The descent of the first jet is steeper.
__
The path a jet will follow depends on a number of factors, including weather and other air traffic. It is not unreasonable for a jet to follow a linear glide path to an airport from these altitudes and distances. JFK is sufficiently busy that air traffic control may dictate other-than-linear descent paths.
Final approach is typically done on a 3° glide slope, about 277 ft descent per mile.
_____
Additional comment
Studies have been done to test the feasibility of linear descent paths into some of the busiest airports in the world. The conclusion is that fuel burn could be improved and air traffic management made simpler by such flight paths. However, current jet autopilots are not equipped for direct input of such flight routes. Pilot workload would be slightly increased until software could be updated. There appears to be no current plan to change the way terminal area control is done.
I cant seem to figure this out. Help
Answers
Answer:
108 cm^2
Step-by-step explanation:
This solid is a triangular prism.
The total surface area is made up of the area of 5 faces.
The front and rear faces are called the bases and are two congruent triangles.
The other three faces are three rectangles and form the lateral area.
SA = area of bases + lateral area
The area of the bases is 2 times the area of a triangle.
The lateral area is the sum of the area of the three lateral faces, 3 rectangles, and is also the product of the perimeter of the base and the height of the prism.
SA = 2 * bh/2 + PH
where
b = base of triangular base,
h = height if triangular base,
P = perimeter of the base, and
H = height of the prism
SA = 2 * (3 cm)(4 cm)/2 + (3 cm + 4 cm + 5 cm) * (8 cm)
SA = 12 cm^2 + 96 cm^2
SA = 108 cm^2
please help me i need it
Answers
Answer:
n umber 3 is b and 4 is d
Step-by-step explanation:
13.8ft
15.6ft
23.4ft
46.8ft
Answers
Answer:
it is 15.6ft because you need to add 7.8+7.8= 15.6ft
.necesito resolver estas operaciones con factorial ayuda por favor
- A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
2. (6ǃ-4ǃ)/2ǃ
2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
R = 10ǃx8ǃ/(6ǃ+5ǃ)
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Answers
Answer:
A. 4
B. 348
C. 2
D. 174182400
E. x = 2
Step-by-step explanation:
Given - A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
B = (6ǃ-4ǃ)/2ǃ
C = 2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
D = 10ǃx8ǃ/(6ǃ+5ǃ)
E - ((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Proof -
A.
(4! + 2! + 3! )/ (3! + 2!) = [4×3×2! + 2! + 3×2!] / [3×2! + 2!]
= 2! [ 4×3 + 1 + 3] / 2! [3 + 1]
= [12 + 1 + 3] / [4]
= [16] / [4] = 4
⇒(4! + 2! + 3! )/ (3! + 2!) = 4
B.
(6ǃ-4ǃ)/2ǃ = [6×5×4! - 4!] / 2!
= 4! [6×5 - 1] / 2!
= 4×3×2! [ 30 - 1] / 2!
= 12 [29] = 348
⇒(6ǃ-4ǃ)/2ǃ = 348
C.
2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2!×3!×4! / [ 5×4! + 4!]
= 2!×3!×4! / 4! [ 5 + 1]
= (2×1) × (3×2×1) / 6
= 12 / 6 = 2
⇒2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2
D.
10ǃx8ǃ/(6ǃ+5ǃ) = 10!×8! / [ 6×5! + 5!]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6×5!) / 5! [6 + 1]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6) / [7]
= (10×9×8×7×6×5×4×3×2×1) ×(8×6)
= 174182400
⇒10ǃx8ǃ/(6ǃ+5ǃ) = 174182400
E.
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
[(x+5)(x+4)(x+3)! (x+3)!] / [ (x+4)(x+3)! + (x+3)! ] = 6!
[(x+5)(x+4)(x+3)! (x+3)!] / (x+3)! [ (x+4)+ 1] = 6!
[(x+5)(x+4)(x+3)! / ( [ x+ 5 ] = 6!
(x+4)(x+3)! = 6!
(x+4)! = 6!
x+ 4 = 6
x = 6 - 4
x = 2
Note :
x! = x(x-1)(x-2).......(4)(3)(2)(1)
Tina is making a frame for a picture she drew. The length of the picture is 11 1/9 inches, and the width of the picture is 7 1/4 inches. How much longer is the picture than it is wide? (Need ASAP please!)
Answers
Answer:
3 31/36 inches
Step-by-step explanation:
11 1/9 = 100/9
7 1/4 = 29/4
100/9 = 400/36
29/4 = 261/36
400/36 - 261/36 = 139/36
139/36 = 3 31/36
A circle with radius of \greenD{1\,\text{cm}}1cmstart color #1fab54, 1, start text, c, m, end text, end color #1fab54 sits inside a \blueD{3\,\text{cm} \times 3\,\text{cm}}3cm×3cmstart color #11accd, 3, start text, c, m, end text, times, 3, start text, c, m, end text, end color #11accd rectangle. What is the area of the shaded region?
Answers
Answer:
5.86cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the circle
Area of rectangle = Length * Width
Area of rectangle = 3cm * 3cm
Area of rectangle = 9cm²
Area of the circle = πr²
Given radius r = 1cm
Area of the circle = 3.14(1)²
Area of the circle = 3.14cm²
Area of the shaded region = 9 - 3.14
Area of the shaded region = 5.86cm²
Answer:
5.86cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the circle
Area of rectangle = Length * Width
Area of rectangle = 3cm * 3cm
Area of rectangle = 9cm²
Area of the circle = πr²
Given radius r = 1cm
Area of the circle = 3.14(1)²
Area of the circle = 3.14cm²
Area of the shaded region = 9 - 3.14
Area of the shaded region = 5.86cm²
HELPPPPPPP ASAP BRAINLIEST FOR CORRECT ANSWER
Answers
Answer:
12
Step-by-step explanation:
12*6.5=78
44-12=32
32*4=128
128+78=206
Please please please help *URGENT*
Answers
Answer:
1 = Communative property of addition
2 = distribution property
3 = Associative property of multiplacation
4 = Communative property of multiplacation
5 = Associative property of addition
Hope this helps! :) Please Ignore my bad spelling
Also, if you think this explanation is good, please mark it brainliest! It would help a lot! Thanks!
1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number
Answers
Answer:
(10^11)/3
10^6 x 10^5 = 10^11
8/5 x 5/24 = 1/3
so multiply 10^11 and 1/3 together
PLZ HELP IF ITS CORRECT I WILL MARK U BRAINLIEST
Answers
Answer:
The answer is 45
Step-by-step explanation:
First, you find what is half of 30 by dividing 30 by 2
30/2 = 15
Then you add 15 to 30 since you have to increase it by 1/2
30 + 15 = 45
I hope this helped and have a great day!
Leo estimates that a package weighs 27 pounds. The postal clerk weighs it and finds it weighs 20 pounds. What is the percent error in Leo's estimate?
Answers
Answer: 35%
Step-by-step explanation:
Given
Weight measured by Leo [tex]W_1=27\ pounds[/tex]
Weight measured by the clerk [tex]W_2=20\ pounds[/tex]
Percentage error is
[tex]\Rightarrow \%\ \text{error}=\dfrac{\text{False value}-\text{Correct value}}{\text{Correct value}}\times 100[/tex]
Putting values
[tex]\Rightarrow \%\ \text{error}=\dfrac{27-20}{20}\times 100=35\%[/tex]
Greg sells cars. He makes a base salary of
$350, plus $734 per car he sells. Write a
function that models this situation. (y = mx +
b)
Answers
Answer: y = 734x + 350
Step-by-step explanation:
y = mx + b
let x be the number of cars he sells, then:
y = 734x + 350
Find the surface area of the prism
Answers
slated surface
17 × 20 = 340
2 triangle sides
2 × 8 × 15 ÷ 2 = 120
backside
8 × 20 = 160
bottom
15 × 20 = 300
sum all of it
340 + 120 + 160 + 300 = 920
can I get brainliest
The inequality -2(x + 10) > 75 says the same thing
as - 2x - 20 > 75. I can multiply by -2 on the left
side without reversing the inequality symbol
True
False
Answers
Answer: False. When multiplying or dividing by an negative inequality you flip the sign.
Step-by-step explanation:
Carlos has read 45% of his book. If his book has 480 pages, how many pages has he read?