Complete question :
A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.
What is the length x of a diagonal support, to the nearest tenth of a foot?
Answer:
13.80 feets
Step-by-step explanation:
Taking either of the triangles formed and attached to the picture, the length of diagonal, x can be obtained using Pythagoras rule :
To obtain x :
Sinθ = opposite / hypotenus
Opposite = 12.5 feets ; hypotenus = x ; θ = 65°
Sin 65 = 12.5 / x
0.9063077 * x = 12.5
x = 12.5 / 0.9063077
x = 13.792225
x = 13.80 feets
An airplane on autopilot took 9 hours to travel 6552 kilometers. What is the unit rate for kilometers per hour?
Answer:
695 km and hour
Step-by-step explanation:
82- 2to the third power.5 please help!
Answer:
240
Step-by-step explanation:
82-2= 80 to the third power so just multiply 80 x 3 and you have your answer.
Answer:
512000 (square root of it is 712.5)
Step-by-step explanation:
82 -2 = 80
80^3
= 80*80*80
= 80^3
= 512000 (square root of it is 712.5)
Let me know if this was helpful!!
How do I solve this and what’s the answer? This is due at 11:59 pm on 2/9/21 PLEASE HELP!
Answer:
I believe the answer is 8.
Answer to get marked brainiest!
Answer:
D
Step-by-step explanation:
Help I'm justing learning about this and I don't know what to start or do
Ryan bought a brand new car for $18,000. Its value depreciated at a rate of 1.2%.
Write a function to represent the value of the car as a function of time.
A. v(t)=18000(0.012)^t
B.V(t)=18000(1.2)^t
C.v(t)=18000(98.8)^t
D(t)=18000(0.988)^t
Answer:
A(t)= 18000(0.988)^t
Step-by-step explanation:
Given data
Ryan bought a brand new car for $18,000
Its value depreciated at a rate of 1.2%
Let us use the compound expression
A= P(1-r)^t
substitute
A= 18000(1-0.012)^t
A(t)= 18000(0.988)^t
Hence the expression is A(t)= 18000(0.988)^t
A function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t
Exponential functionThe standard exponential equation is in the form y = ab^x
b is the rate which can be growth or decline
If the value of b < 1, it is a depreciationIf the value of b > 1, it is an appreciationIf Ryan bought a brand new car for $18,000 and its value depreciated at a rate of 1.2%, the exponential equation represented by this statement is;t
v(t) = 18000(1-0.0012)^t
v(t) = 18000(0.988)^t
Hence a function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t
Learn more on exponential function here: https://brainly.com/question/12940982
A number is at maximum 20
Answer:
19
Step-by-step explanation:
Cathy is playing a game with a set of 24 cards equally divided into 4 colors (red, green, blue, and yellow).
Find the probability of her randomly selecting a red card, not replacing it, and then selecting another red card.
A.
image
B.
image
C.
image
D.
image
Answer:
1/20
Step-by-step explanation:
P(red,red) = 4/16 x 3/15 = 1/4 x 1/5
Answer:
6/24
5/24
Step-by-step explanation:
count how many cards there are(24) then Find out how many red cards there are(4/24=6
(12+34)×2.3= (talk to me please please please)
Answer:
90.2
Step-by-step explanation:
thx for the follow!!!
Answer:
105.8 is the answer
Step-by-step explanation:
105.8
Can y’all help with this question plz
You are given $400 as a graduation gift. You decide to place the money in a savings account with an annual interest rate of 7.5% for 9 months. Find the amount of interest you will earn
Answer: $22.50
Step-by-step explanation:
The interest will be gotten by using the formula:
= PRT
= Principal × Rate × Time
= 400 × 7.5% × 9/12
= 400 × 0.075 × 0.75
= $22.50
The interest is $22.50
The number of math problems was increased from 15 to 21. By what percent did the number of problems increase?
A 20%
B 30%
C 40%
D 45%
What are the possible names for the quadrilateral with sides 3:1:3:1?
Answer:
Rectangle
Parallelogram
Step-by-step explanation:
The ratio 3:1:3:1 shows that lengths of opposite sides of the quadrilateral are equal.
So, the possible names for the quadrilateral are rectangle, parallelogram.
Which are linear pairs? AngleBAC and AngleCAE AngleCAE and AngleBAF AngleCAE and AngleFAE AngleCAF and AngleBAE AngleFAD and AngleEAD
A and C
A- AngleBAC and AngleCAE
C-AngleCAE and AngleFAE
Step-by-step explanation:
Edg2021
Answer:
The answer is A. AngleBAC and AngleCAE and C. AngleCAE and AngleFAE
Step-by-step explanation:
Got it right on the assignment.
ANSWER ASAP PLEASE .
Answer:
a,d,e and f.
Step-by-step explanation:
hope this helps!
please mark me as brainliest. Thanks!
2[(483 2 - 151] help
Answer:
1630
Step-by-step explanation:
Hope this helps
A smartphone costs $250. Sales tax is 5%. What is the total cost, including tax?
Answer:
ima guess $262.50
Step-by-step explanation:
Tyler bought two pieces of pizza and three diet Pepsi for $7.25 Scotty but for pizzas a pizza and diet Pepsi for $8.25 set up a system of equations to determine how much a slice of pizza cost and how much a diet Pepsi cost
Answer:
The cost of
1 slice of pizza = x = $1.75
1 diet pepsi = y = $1.25
Step-by-step explanation:
Let us represent:
The cost of
1 slice of pizza = x
1 diet pepsi = y
Tyler bought two pieces of pizza and three diet Pepsi for $7.25
2x + 3y = 7.25.......Equation 1
Scotty but four pizzas and a diet Pepsi for $8.25
4x + y = 8.25......Equation 2
Combining the Equations
2x + 3y = 7.25.......Equation 1
4x + y = 8.25......Equation 2
y = 8.25 - 4x
We substitute 8.25 - 4x for y in Equation 1
2x + 3(8.25 - 4x) = 7.25
2x + 24.75 - 12x = 7.25
Collect like terms
24.75 - 7.25 = 12x - 2x
17.5 = 10x
x = 17.5/10
x = $1.75
Solving for y
y = 8.25 - 4x
y = 8.25 - 4(1.75)
y = 8.25 - 7
y = $1.25
Therefore,
The cost of
1 slice of pizza = x = $1.75
1 diet pepsi = y = $1.25
MATH math help thanks (pls provide workings)
Answer:
At the point where x = 2.
Step-by-step explanation:
First find the derivative which gives us the gradient of the tangent at any point on the curve:
y = 5x^2 - 16x
y' = 5*2 x^(2-1) - 16 x(1-1)
y' = 10x - 16.
y' is the gradient at point of coordinate x.
So when the gradient = 4:
4 = 10x - 16
10x = 20
x = 2.
Answer:
x=2
Step-by-step explanation:
I need help!! i don't understand this
Answer:
33
Step-by-step explanation:
together teammates Pedro and Ricky got 2666 base hits last season Pedro had 276 more hits than Ricky how many hits do each player have
In which quadrant angle k lies, if tan k<0, an csc k >
Your answer:
A. Q11
B. Ql
C. QV
D. QIII
Answer:
A. QII.
Step-by-step explanation:
The tan < 0 in Quadrants 2 and 3.
The csc > 0 in Quadrants 1 and 2.
Read the following bar graph and answer the following related questions :
a) Who got the maximum marks?
b) Who got the minimum marks?
c) The ratio between the marks obtained by Saroj and Vimla is _______.
d) How many girls have got marks of more than 100?
Answer:
who got the maximum marks? it would have been apala she got the high mark
Can someone please help me with this
Answer:
I would say 7, because if you think about you would know that your answer is 7
help please. 10 points to who help me
9514 1404 393
Answer:
64/109 ≈ 0.5872
Step-by-step explanation:
41 + 23 = 64 of the events have outcome E.
An additional 35 + 10 = 45 do not.
The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.
P(E) = 64/109 ≈ 0.5872
A rectangular prism has a volume of 360 cubic inches. If the area of the base is 40, what is the height of the figure?
a.9in
b.320in
c.12in
d.400in
Answer:
a. 9in
Step-by-step explanation:
PLS MARK ME BRAINLIEST!!!!!!!
A toll road company has two plans for customers. One plan charges $10 per month for rental of a transponder (a box that identifies your car on the toll roads) plus $0.60 per mile driven. The second plan does not require that you rent a transponder. Instead, it charges customers $0.75 per mile driven on the toll road. Find the minimum number of miles you would need to drive in a month to make the first deal a better deal.
Answer:
The minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
Step-by-step explanation:
For the first deal to be a better deal it has to cost less than the second plan and you can write an equation in which the first plan has a lower cost than the second one:
10+0.60m<0.75m, where:
m is the number of miles driven
Now, you can solve for m:
10<0.75m-0.60m
10<0.15m
10/0.15<m
m>66.6
According to this, the answer is that the minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
I need help pls step by step i will really appreciate pls also l will mark you the brainly if you did !
Answer:
1. 2
2.3[tex]\sqrt{5}[/tex]
3.8[tex]\sqrt{6}[/tex]
4.2.5[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Remember that [tex]\frac{\sqrt{a}}{\sqrt{b}}[/tex]=[tex]\sqrt{\frac{a}{b} }[/tex], and [tex]\frac{a}{\sqrt{b}}[/tex]=[tex]\frac{a}{\sqrt{b}}[/tex]*[tex]\frac{\sqrt{b}}{\sqrt{b}}[/tex]=[tex]\frac{a\sqrt{b}}{b}[/tex]
1. [tex]\frac{\sqrt{48}}{\sqrt{12} }[/tex]= [tex]\sqrt{\frac{48}{12} }[/tex]=[tex]\sqrt{4}[/tex]=2
2. [tex]\frac{15}{\sqrt{5} }[/tex]=[tex]\frac{15}{\sqrt{5} }[/tex]*[tex]\frac{\sqrt{5}}{\sqrt{5} }[/tex]=[tex]\frac{15\sqrt{5} }{5}}[/tex]=3[tex]\sqrt{5}[/tex]
3. [tex]\frac{48}{\sqrt{6}}[/tex]= [tex]\frac{48}{\sqrt{6}}[/tex]* [tex]\frac{\sqrt{6}}{\sqrt{6}}[/tex]= [tex]\frac{48\sqrt{6}}{6}[/tex]=8[tex]\sqrt{6}[/tex]
4. [tex]\frac{25}{\sqrt{10}}[/tex]=[tex]\frac{25}{\sqrt{10}}[/tex]*[tex]\frac{\sqrt{10}}{\sqrt{10}}[/tex]=[tex]\frac{25\sqrt{10}}{10}[/tex]=2.5[tex]\sqrt{10}[/tex]
Choose the triangle in which angle 2 is not an exterior angle.
help me...new freinds?
Answer:
The third triangle
Step-by-step explanation:
The Exterior Angle is the angle a side of a shape and a line extended from the side next to it.
So for example, the first picture shows an exterior angle because a line was extended and it forms an angle with the triangle's side.
The second picture is still an exterior angle because the angle is formed with an extended line and the triangle's side.
The third photo shows an angle formed between a random line and the triangle's side. This is not an exterior angle because the angle is not formed with any side's extension.
The fourth photo is an exterior angle because it shows the angle being formed with an extension of a line from the triangle and a side of the triangle.
Hope this helps! Feel free to ask any questions! :)
Answer:
C the third triangle. Hope this helps
Step-by-step explanation:
Solve for xxx. Your answer must be simplified. -4+x≤9
Answer:
x≤13
Step-by-step explanation:
-4+x≤9
Add 4 to each side
-4+4+x≤9+4
x≤13
Answer:
x≤13
Step-by-step explanation:
khan