The seesaw moves and the angle created by the left side of the seating board and the central support is now 80 degrees. Create and use a model, to find the distance from point Q to the ground when the angle created by the left side of the seating board and the central support is 80 degrees. Show your work or explain your answer. Round your final answer to the nearest tenth of a foot. Enter your model, your answer, and your work or explanations in the space provided.
Answers
Answer:5.7
Step-by-step explanation:
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between the point Q and the ground is h-[L cos(80°)].
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The Base is the adjacent smaller side of the angle θ.
Let the height of the support be h and the height between the point q and the ground is x. Also, the distance between point Q and the support of the seesaw is L.
Now if we look at the ΔQAR, the measure of the ∠QRA is 80°, therefore, the sine of ∠QRA can be written as,
[tex]\rm Cos(\theta)=\dfrac{Base}{Perpendicular}\\\\Cos(\angle QRA) = \dfrac{AR}{QR}\\\\Cos(\angle QRA) = \dfrac{h-x}{L}\\\\L \times Cos(80^o)=h-x\\\\x=h-[L\ Cos(80^o)][/tex]
Hence, the distance between the point Q and the ground is h-[L cos(80°)].
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
Related Questions
2. Karina would like to go with Rhia to Michigan, but by the time she purchased her ticket, she
realized she will need to earn $1,593 to pay for the trip herself. Karina babysits and earns $15
per hour. How many hours will Karina need to babysit in order to earn all of the money she
needs for the trip to Michigan?
Answers
Which of these expressions or phrases can be used to represent the model choose all the correct answers
Pls no BOT part ;(
Answers
Step-by-step explanation:
anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.
Savannah bought barn wood for $60 for 5 pieces. She spent $40 on materials to paint
and design the decorations. She sells each piece of wood for $25. What is her
profit/loss?
Answers
because
60 divided by 5 is 12, so each wood is 12 dollars
she spent 40 dollars on materials so 40 divided by 5 is 8, so she spent $20 on each piece of wood to paint it because 12(price of wood)+8(cost of materials per wood)= 20
and shes sells them for 25
so 25-20=5
5x5=25
so the answer is $25 profited
On Wednesday 72% of the customers who bought gas at a gas station also bought a hot dog. There were 25 customers in all who bought gas.
Answers
Answer:
18 People bought hot dogs
Step-by-step explanation:
The question is not complete, but I’m assuming you need the number of people who bought hot dogs.
25 customers bought gas.
72% of them also bought a hot dog.
So thE number of customers who bought hot dogs are 72% of 25
=> 72/100 * 25
=> 0.72 * 25
= 18 people
Which of these is an example of due process?
a search without good reason
a prejudiced jury
a cruel punishment
a fair trial
Answers
Answer:
A fair trial.
Answer:
Step-by-step explanation: a search without good reason
the diameter of a billard ball is approximately 6 cm. what is its volume? round your answer to the nearest whole number
Answers
Answer:
The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.
A. 113 cm3
B. 903 cm3
C. 25 cm3
D. 38 cm3
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression entered or try another topic.
6
centimeters
...................................................................................................................................................
For this case we have that by definition, the volume of a sphere is given by:
Where:
r: It is the radius of the sphere
According to the data we have to:
Substituting we have:
The option that best fits is option B.
Answer: v=113cm3
The option that best fits is option B.
...............................................................................................................................................
Answer:
V ≈ 904 cm³
Step-by-step explanation:
Let r denotes radius
r = 6cm (given)
As it a sphere of radius 6cm,
Volume of a sphere,
V = 4/3 π r³
V = 4/3 (3.14) (6)³
V = 4/3 (3.14) x 216
V = 4 (3.14) x 72
V = 12.56 x 72
V = 904.32 cm³
Rounding off,
V ≈ 904 cm³
...............................................................................................................................................
Answer:
113 cm
Step-by-step explanation:
Tim buys a car for $7,500 and sells it for a profit of $1,000. How much did he sell it for?
Answers
Un cilindru circular drept are raza bazei egală cu 27 , iar înălțimea cilindrului este egală cu 11 . (unitatea de măsură o alegi tu). De aflat aria totală și volumul cilindrului. VA ROG URGENT
Answers
Answer:
1) 6447,55 unități pătrate
2) 25192,43 unități cubice
Step-by-step explanation:
1) Suprafața totală a unui cilindru
Formula = 2πr (r + h)
r = 27 de unități
h = 11 unități
Suprafața totală = 2 × π × 27 × (27 + 11)
= 6446.54813 unități pătrate
Aproximativ = 6447,55 unități pătrate
2) Volumul cilindrului
Formula = πr²h
= π × 27² × 11
= 25192,43 unități cubice
Can yall help me need help ASAP
Answers
Answer:
18+2x>_0
18/2 + 2x/2
x= 9
Step-by-step explanation:
first take the 2x to the other side which will automatically change from - to + and then divide both 18 and 2x by 2
Suppose you invest $4,600 into a savings account with a 8.25% annual interest rate
that compounds interest monthly. Use the TVM solver on your calculator to find the
future value of the account after ten years.
NEED ANSWER ASAP
Answers
Answer:
$10,467.06
Step-by-step explanation:
The computation of the future value is shown below:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
here
rate of interest = 8.25% ÷ 12 = 0.6875%
And, the number of years is = 12 × 10 = 120
So, the future value is
= $4,600 × (1 + 0.6875%)^120
= $4,600 × 2.275448086
= $10,467.06
If n = 3, what is the value of 6n – 3?
Answers
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
6×3−3
Multiply 6 and 3 to get 18.
18−3
Subtract 3 from 18 to get 15.
15
All statements of equality below are correct ? Need help!
Answers
Answer:
True
Step-by-step explanation:
√784/√4 = 28/2 = 14
Answer:
the answer is true
Step-by-step explanation:
because all are equal 14
Factor the expression step by step
Answers
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -7
Multiply together to get 10
Can you think of the two numbers?
Try -2 and -5:
-2+-5 = -7
-2*-5 = 10
Fill in the blanks in
(x+_)(x+_)
with -2 and -5 to get...
(x-2)(x-5)
What is the value of 2x2 when x = 1.5?
15.0
4.45
4.50
450
Answers
Answer: 4.50 look at the picture
Step-by-step explanation: Hope this help :D
Step-by-step 4.5 ....................
9x -5y = 16
-3x + 7y = 16
-4x - 2y = 14
10x - 7y = 25
Answers
Circle M has a radius of length 5 inches. A tangent is drawn from exterior point Q to point N on circle M as shown. If QN= 11 inches, determine the measure of
Answers
Answer:
look at the box did you see it
Answer:
I hope you are wanting the measure of QM
QM = 12.08 in
Step-by-step explanation:
Because a tangent to a radius forms a 90° angle, use the Pythagorean theorem:
QM² = MN² + QN² = 5² + 11² = 25 + 121 = 146
QM = √146 = 12.08 in
Expand and Simplify: (x-5)(x+7)
Answers
(x-5)(x+7)
=x^2+7x-5x-35
=x^2+2x-35
Will mark brainliest
Answers
I think it’s the last one 2x + 7 sorry if I’m wrong!
Will give brainliest. A square and a rectangle have the same perimeter. The square has a side length of 8x units. The rectangle has a length of (4x + 8) units and a width of 10 units. What will be the perimeter of both the rectangle and the square?
Answers
The formula for rectangle is 2L + 2W = P
If you know the perimeter of a square and rectangle are the same you can set the equations equal to each other.
So 2L + 2W = 4L and since you know the side measurements. You sub them in.
2(4x + 8) + 2(10) = 4(8x) and then solve for x
X = 3/2
A system of liner equation has been graphed in the diagram. Determine a responsible solution for the system of equation.
Answers
A football field is 360 feet long. The titanic was 883 feet. About how many football fields long was the titanic? Write your answer as a whole number and a decimal
Answers
Given:
The length of the football field = 360 feet
The length of the titanic = 883 feet
To find:
About how many football fields long was the titanic?
Solution:
We have,
Length of the football field = 360 feet
Length of the titanic = 883 feet
Now we need to divide the length of the titanic by length of the football field to find the number of football fields whose length is equal to the titanic.
[tex]\text{Number of required football fields}=\dfrac{\text{Length of the titanic}}{\text{Length of the football field}}[/tex]
[tex]\text{Number of required football fields}=\dfrac{883}{360}[/tex]
[tex]\text{Number of required football fields}=2.452777...[/tex]
[tex]\text{Number of required football fields}=2.452\overline{7}[/tex]
[tex]\text{Number of required football fields}\approx 2[/tex]
Therefore, the answer in whole number is 2 and the answer in decimal is [tex]2.452\overline{7}[/tex].
Pls help will give brainless
Answers
Answer:
56 trucks and 24 cars
Step-by-step explanation:
Multiply each by 8 to continue the linear relationship.
Answer:
The answer is C. 56 trucks and 24 cars
Step-by-step explanation:
24/3 = 8
8 x 7 = 56
(っ◔◡◔)っ ♥ Hope It Helps ♥
Use the information below to respond to numbers 5,6,7 and 8.
Celeste was selling meal tickets for the holiday program at her school. The cost of a dinner ticket is
$10. She is also selling dessert tickets for $6. She lost track of how many of each ticket she sold;
however, she remembered that she was given 100 tickets and she collected $900.
The system of equations shown can be used to represent this situation:
S x + y = 100
(10x + 6y=900
5. What does the variable x represent in the system of equations? *
1 point
O A. The number of dinner tickets sold.
O B. The number of dessert tickets sold.
O C. The number of dollars collected for dinner tickets.
D. The number of dollars collected for dessert tickets.
O Other:
Answers
X is next to the number 10, so x would be the number of dinner tickets sold.
Rewrite x + y = 100 to x = 100-y
Now replace that in the 2nd equation:
10(100-y) + 6y = 900
Simplify:
1000 -10y + 6y = 900
Combine like terms:
1000 -4y = 900
Subtract 1000 from both sides
-4y = -100
Divide both sides by-4
Y = 25
Replace y in the first equation and solve for x
X + 25 = 100
X = 75
A) 75 dinner tickets were sold
B) 25 dessert tickets were sold
C) 75 x 10 = $750
D) 25 x 6 = $150
Last month, Jerald bought 70 bags of candy for $8 each. How much did Jerald spend on bags of candy?
Answers
A cube has a surface area of 6. What's the volume?
a 1
b 1/6
c 6
d 3/2
Answers
Answer:
Well all sides of a cube are congurent or equal and since the surface area is 6. We can develop a formula to find the missing variables.
Well since the surface area of a cube can be found by using 6a^2 where a is the side lengths.
So since 6a^2=6
Solve
a^2=1
a=1
SO each side is equivalent to 1
Now to find the volume just do LWH and you should get 1 as your answer or in this case (A)
Answer:
V = 1
Step-by-step explanation:
A=6a2
V=a3
Solving for V
V=6A3/2
36=6·63/2
36÷6 = 1
V = 1
If the simple interest on a sum of money invested at 3% per annum for 242 years is N123, find the
principal
Answers
The principal is N16.94
Step-by-step explanation:
Simple Interest = (Principal × Rate × Time)/100
Principal = (Simple Interest × 100)/(Rate × Time)
Principal = (123 × 100)/(3 × 242)
Principal = 12300/726
Principal = 16.9421
the ravens scored 1 touchdown and an extra point . how many total points did they score
Answers
A stage in the shape of a semi circle had a diameter of 42 ft. What is area of the stage? Use 22/7 for π. PLZ I NEED FAST TEST
Answers
A semi circle is half a full circle. Find the area of the full circle and divide it by 2.
Area of a circle = pi x r ^2
R is half the diameter
Area of full circle:
Area = 22/7 x 21^2
Area = 1386 sq. Ft
Area of stage = 1386/2 = 693 square feet
Answer:
3.14 x 42 x 42 = 5538.96ft
If your wondering why used 3.14 instead of 22/7 is because they are exactly the same just one is a whole number and the other is a fraction. I suggest you use 3.14 because its easier than 22/7.
Step-by-step explanation:
:))
when a number is divided by 15, the quotient is 18 and the remainder is 5. what is the number?
Answers
Answer:
The answer is 256
Step-by-step explanation:
You just have to get the divisor
(
40
)
and multiply by the quotient
(
6
)
, then add the remainder
(
16
)
.
So we have:
(
40.6
)
+
16
=
256
The number is 276.
Parts of a Division Problem -There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.Let us assume that the number is N.
So according to the question we can say that
N= 15(18) +1
because dividend= divisor x (quotient) + remainder and quotient is odd.
So now, N (on expanding) =15 × 18 + 5
= 275
So if N is divided by 15 the remainder would be 275+1=276.
Learn more about Parts of a Division Problem brainly.com/question/15305334 here.
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HELP HELP HELPPPPP PLEASEEE
Answers
Answer:
A
Step-by-step explanation:
1/2f
Answer:
A
the first option
Step-by-step explanation:
