Answer:
eye eye eye eye eye eye eye eye eye eye eye
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
Read more about distance from angle of elevation at: https://brainly.com/question/25748640
#SPJ1
If f (x) = 2 x + 5 and three-halves are inverse functions of each other and StartFraction 41
The inverse of the function → f(x) = 2x + 5 is → f⁻¹(x) = (x/2) - (5/2).
What is the procedure to find inverse of function ?Inverse of a function can be calculated by following the steps mentioned below -
Step 1 - Replace {y} with {x} and vice - versa.Step 2 - Rewrite the equation by solving for {y}.Step 3 - Replace {y} with f⁻¹(x).According to the question, the equation given is as follows
y = f(x) = 2x + 5
y = 2x + 5
Replace 'y' with 'x', we get -
x = 2y + 5
Now, solve for y -
2y = x - 5
y = (x/2) - (5/2)
Replace 'y' with f⁻¹(x) -
f⁻¹(x) = (x/2) - (5/2)
Hence, the inverse of the function → f(x) = 2x + 5 is → f⁻¹(x) = (x/2) - (5/2).
To solve more questions on inverse of function, visit the link below-
brainly.com/question/28229665
#SPJ1
A rental car company charges $31.91 per day to rent a car and $0.07 for every mile
driven. Hudson wants to rent a car, knowing that:
• He plans to drive 100 miles.
• He has at most $70 to spend.
Answer:
1.97 day; 1 day.
Step-by-step explanation:
0.07*100 = 7
31.91x - 7 = 70
70 - 7 = 63
31.91x = 63
63 / 31.91 = 1.97
Hudson can afford to drive the car for 2 days and stay under his budget.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We know that it costs $0.07 for every mile driven and we plan to drive 100 miles, that means we can set the inequality as:
31.91x + 0.07(100) ≤ 70
31.91x + 7 ≤ 70
Rearranging the inequality so we have the variable isolated on one side, we get:
31.91x ≤ 63
Divide both sides by 31.91 to get x alone.
x ≤ 1.97430
x ≤ 2
From obtaining the solution, Hudson can afford to drive the car for 2 days and stay under his budget.
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ2
The question seems incomplete, the complete question would be as:
A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing that:
• He plans to drive 100 miles.
• He has at most $70 to spend.
Which inequality can be used to determine, the maximum number of days Hudson can afford to rent for while staying within his budget?
The vertex form of a function is g(x) = (x - 3)2 + 9. How does the graph of g(x) compare to the graph of the function
Rx) = x2?
O g(x) is shifted 3 units left and 9 units up.
g(x) is shifted 3 units right and 9 units up.
O g(x) is shifted 9 units left and 3 units down.
O g(x) is shifted 9 units right and 3 units down.
Answer:
Its the second choice.
Step-by-step explanation:
g(x) = (x - 3)^2 + 9
The -3 in the parentheses moves the graph of x^2 3 units to the right.
The + 9 moves it upwards 9 units.
Solve for n
X | Y
———————-|———————-
4 | 9
5 | 11
7 | n
9 | 19
Answer:
I think n is meant to be 15
2x to the second power + 2 + 9 to the second power
Answer:
78
Step-by-step explanation:
is it right
im sure it might be 78 the correct
sorry po Bobo po ako sa math ☹️
Step-by-step explanation:
wala eh
The regulation height of a basketball hoop is 10 feet. Let the location of thebasket be represented in the coordinate plane by the point (0, 10). Let the ballbe thrown at a 45° angle with the ground.1. Suppose Nancy is standing a horizontal distance of 10 feet from thebasket at the point (-10, 0), and she shoots a basket from 6 feet in theair with an initial velocity of 22 ft/s.Question 1)C. Will Nancy make the basket? Defend your reasoning.D. Use appropriate tools strategically. Experiment on yourcalculator with different direction angles until the player makes abasket. What angle did you use?
Answer:
(A): Using the equations of motion, we can determine the answer as follows:
\(\begin{gathered} x(t)=x_{\circ}+v_{\circ}cos(\theta)t\rightarrow(1) \\ \\ y(t)=y_{\circ}+v_{\circ}sin(\theta)-\frac{1}{2}gt^2\rightarrow(2) \\ \\ y(x)=xtan(\theta)-\frac{g}{2(v_{\circ})^2cos^2(\theta)}x^2\rightarrow(3) \end{gathered}\)formula (3) is obtained from (1) and (2), using equation (3) the answer is determined as below:
\(\begin{gathered} y(x)=xtan(\theta)-\frac{g}{2(v_{\circ})^2cos^2(\theta)}x^2 \\ \\ v_{\circ}=22\text{ f/s} \\ \\ \theta=45 \\ \\ g=32.1522\text{ f/s} \\ \\ y(x)=xtan(45)-\frac{32.1522}{2\times22^2cos^2(45)}x^2 \\ \\ y(x)=x-\frac{32.1522}{2\times22^2cos^2(45)}x^2 \\ \\ y(x)=x-\frac{32.152,2}{484}x^2 \\ \\ y(x)=x-0.06643x^2 \\ \\ (x,y)\rightarrow\text{ Adjusting the position for the shift gives:} \\ \\ y(x)=[(x+10)-0.06643(x+10)^2]+6\rightarrow(4) \end{gathered}\)The plot of the (4) reveals the following:
Therefore the answer is no.
(D) Trying a new angle theta = 60 degrees gives the following new answer:
Therefore the answer is:
\(\theta=60^{\circ}\)F(x)=2 sin (1/2x)+1
What is the midline of the functionless
Answer: 4
Step-by-step explanation:
Let me get to know you:)
just by looking at the images, what would be your guess of how many fish food boxes can fit into the shipping box? How did you determine that? There is no right or wrong answer.
pls pls pls HELPP
Answer:
82028
Step-by-step explanation:
You could look at this and see that you could fit 156 boxes of fish food boxes onto the bottom row of the shipping box and that there are 13 rows in total so you multiply 156 by 13 to get 2028.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 3) and (3, 1). Everything below and to the right of the line is shaded.
Which linear inequality is represented by the graph?
y > Two-thirdsx – 2
y < Two-thirdsx + 2
y > Two-thirdsx + 1
y < Two-thirdsx – 1
Answer:
y > Two-thirds x + 1 /c
A four-year college’s application process takes into account all of the following except. HELP MEEEEE
Answer:
C. middle school grades
Step-by-step explanation:
Colleges want to see if students challenged themselves by taking rigorous courses, and they also want to know what kind of grades students were able to maintain. They also like to take into account the scores you get on standardized tests because these tests can give a relatively accurate idea of a student's mastery of certain subjects. The only thing they don't pay attention to are the grades you earned in middle school. Since these grades aren't very recent, they don't serve as an accurate measure of a student's academic ability, which is why colleges prefer to look at the grades a student earns during their time in high school.
Hope this helps :)
The question is in the photo.
Answer:
1
0.8
0.4
Step-by-step explanation:
y = 5x
Substituting '5':
5 = 5x
x = 5/5
x = 1
Substituting 4:
4 = 5x
x = 4/5
x = 0.8
Substituting 2:
2 = 5x
x = 2/5
x = 0.4
Answer:
1) x = 1
2) x = 4/5
3) x = 2/5
Step-by-step explanation:
1) 5= 5x
x = 1
2) 4 = 5x
x = 4/5
3) 2 = 5x
x = 2/5
Point M is the midpoint of PQ, and LM is the perpendicular bisector of PQ. Write a two-column proof to show that LP = LQ.
The two column proof below has shown us that the LP ≅ LQ by definition of segment congruence.
How to write a two column proof?We are told that Point M is the midpoint of PQ, and LM is the perpendicular bisector of PQ. Thus, the two-column proof to show that LP = LQ is as follows;
Statement 1; PM ≅ QM, LM ⊥ PQ
Reason 1; Given
Statement 2; LM ≅ LM
Reason 2; Reflexive Property of Congruence
Statement 3; ∠PML ≅ ∠QML
Reason 3; Right angle congruence theorem
Statement 4; ΔPML ≅ ΔQML
Reason 4; SAS congruence theorem
Statement 5; ∠PML ≅ ∠QML
Reason 5; Corresponding parts of congruent triangles are congruent
Statement 6; LP ≅ LQ
Reason 6; Definition of segment congruence
Read more about two column proof at; https://brainly.com/question/18286984
#SPJ1
in triangle QRS, the measure of angle RSQ is 48.2 degrees, and the SQR is 75 degrees. what is the QRS?
The measure of angle QRS in triangle QRS is 56.8 degrees.
To find the measure of angle QRS in triangle QRS, we can use the fact that the sum of the measures of the angles in a triangle is always 180 degrees.
We know that:
- The measure of angle RSQ is 48.2 degrees
- The measure of angle SQR is 75 degrees
Let x be the measure of angle QRS. Then, we can write:
RSQ + SQR + QRS = 180
Substituting the known values, we get:
48.2 + 75 + x = 180
Simplifying and solving for x, we get:
x = 180 - 48.2 - 75x = 56.8
Therefore, the measure of angle QRS in triangle QRS is 56.8 degrees.
for similar questions on Triangle
https://brainly.com/question/1058720
#SPJ11
A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1937 mailboxes this week. If each mailbox
has dimensions as shown in the figure below, how many square meters of aluminum will be needed to make these mailboxes? In your calculations, use the
value 3.14 for x, and round up your answer to the next square meter.
Check
0.4 m
0.6 m
0.55 m
Answer:
Total surface area = 1.8985 m²/mailbox × 1937 mailboxes = 3673.26 m²
Rounding up to the next square meter, the company will need 3674 square meters of aluminum to make these mailboxes.
Step-by-step explanation:
Based on the given dimensions, the surface area of one mailbox can be calculated as follows:
Surface area of the rectangular box: 2(0.6 m × 0.4 m) + 2(0.6 m × 0.55 m) + 2(0.4 m × 0.55 m) = 1.32 m²
Surface area of the half-cylinder top: (0.6 m × 0.55 m × 3.14) / 2 = 0.5785 m²
Total surface area of one mailbox = 1.32 m² + 0.5785 m² = 1.8985 m²
To make 1937 mailboxes, the total surface area of aluminum needed can be calculated by multiplying the surface area of one mailbox by the number of mailboxes:
Total surface area = 1.8985 m²/mailbox × 1937 mailboxes = 3673.26 m²
Rounding up to the next square meter, the company will need 3674 square meters of aluminum to make these mailboxes.
Circle C and Circle D are congruent.
O True
O False
True or false?!
An inlet pipe can fill an empty swimming pool in 5hours, and another inlet pipe can fill the pool in 4hours. How long will it take both pipes to fill the pool?
Answer:
It will take 2 hours, 13 minutes and 20 seconds for both pipes to fill the pool.
Step-by-step explanation:
Given that an inlet pipe can fill an empty swimming pool in 5hours, and another inlet pipe can fill the pool in 4hours, to determine how long it will take both pipes to fill the pool, the following calculation must be performed:
1/5 + 1/4 = X
0.20 + 0.25 = X
0.45 = X
9/20 = X
9 = 60
2 = X
120/9 = X
13,333 = X
Therefore, it will take 2 hours, 13 minutes and 20 seconds for both pipes to fill the pool.
2. The two figures are similar. Consider Triangle 1 to be the pre-image and Triangle 2 to be the image. Write the similarity statement. Justify your answer by showing your work. (Hint: To justify your similarity statement, find the scale factor. What scale factor would you multiply the side lengths of Triangle 1 by to obtain the side lengths in Triangle 2)?
Triangle 1 Triangle 2
Answer: scale factor is 5:3
Step-by-step explanation: scale factor is length of bigger/length of smaller
60/36,40/24,50/30=5:3
I need help with this
240 because i am smart and also nice pencil
Step-by-step explanation:
Real-life Problems Question 6
The amount of money that Theresa has left is equal to £2,740.
How to write a linear equation to model this situation?In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:
Let the variable a represent cost of flights for each of them.
Let the variable f represent cost of accommodation for each of them.
Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;
y = 12(a + b)
y = 12(266 + 339)
y = £7,260
For the amount of money left, we have:
Amount of money left = £10,000 - £7,260
Amount of money left = £2,740.
Read more on equation here: brainly.com/question/18912929
#SPJ1
find the volume of each figure. no links pls.
Answer:
For number one do 13+13 and then 21+21 and 8+8 so you would get 16 for 8+8 and 21+21 is 41 so 41+16 is 57 and then 13+13 is 26 so 57+26 and then your answer is going the be the volume
what are the relationships between inscribed, central, and circumscribed angles of a circle?
Answer:
Topics include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Common Core: HSG-C.A.2
Step-by-step explanation:
PA BRAINLIEST
Find the area of the following triangle. Round your answers to the nearest hundredth. b = 0.923 km, c = 0.387 km, A = 43.333°
O 0.26 km²
O 0.358 km²
O 0.06 km²
O 0.12km ²
8
LO
5
15
4
1
In the figure shown above, all the corners form right angles. What is the area of the figure in squ
O 33 square units
O 66 square units
O 70 square units
O 120 square units
The area of the given figure is 70 square units, that is, option 3.
The area of a rectangle = length × breadth
Here, we need to find the area of the shaded region.
To do this, we will subtract the area of the smaller rectangle from the larger one.
The area of the larger rectangle = 8 × 15
= 120 square units
Now, the we have one side of the smaller rectangle which is 5, the other side will be (15 - 4 - 1) = 10 units.
The area of the smaller rectangle = 10 × 5
= 50 square units
Thus, the area of the shaded region = 120 - 50
= 70 square units
Hence, the area of the figure is 70 square units.
Learn more about areas here-
https://brainly.com/question/25292087
#SPJ9
Your question was incomplete. Please find the missing figure below.
Caroline is baking pies to the teachers lunch at her school she plans to give every teacher 1/8 of a pie she decides to bake 12 pies Each pie takes 26.5 minutes to bake if coraline bakes 1 pie at a time how many total minutes is it
Answer:
It will take her 318 minutes.
Step-by-step explanation:
26.5 times 12 equals 318
A line has a slope of 2/3 and y intercept of (0,5). What is the equation of the line?
Hhhheeeellllppppp asap
Answer:
Simplify the expression.
Exact Form:
\( \frac{1}{3} \)
Decimal Form
0.3
Hope it's help.
Answer:
0.3 is the real answer
Step-by-step explanation:
i hope it's helpful
In great detail, with full work done out, please find x
1 + x = 2
Answer:
x = 1
Step-by-step explanation:
1 + x = 2
Subtract 1 form both sides,
1 + x - 1 = 2 - 1
x = 1
11. Tell whether the equation has one, no solution, or infinitely many solutions 3(x-8) + 3 = 3x - 21
Answer:
infinitely many solutions.
Step-by-step explanation:
which square root is a whole number ?
Let's find the square root of all to find which is a whole number
√254 = 15.937
√255 =15.967
√256 =16
Hence √256 is a whole number
The correct option is C.