Answer:
313 ft
Step-by-step explanation:
It's hard to explain because its geometry, but there will be a right triangle with angle of 72 and another with angle of 25. do tan72 * 120 - tan25 * 120
The distance from point A to point B is given by the trigonometric relations and d = 313 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the first triangle be represented as ΔAOD
Let the second triangle be represented as ΔBOD
where the distance from point A to point B = d
And , Riley is watching from a vertical distance of 120 feet above the water
Riley measures an angle of depression to the boat at point A to be 18 degrees
Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees
So , ∠BOD = 25° and ∠AOD = 72°
From the trigonometric relations ,
tan θ = opposite / adjacent
tan AOD = AD / OD = tan 72°
tan 72° = 3.087
tan BOD = tan 25° = 0.47
Now , the measure of AD = 120 x 3.087 = 369.6 feet
And , the measure of BD = 120 x 0.74 = 56.4 feet
Therefore , the distance from A to B = 369.6 feet - 56.4 feet
d = 313 feet
Hence , the distance is 313 feet
To learn more about trigonometric relations click :
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simplify (4+√3)(4-√3)
Answer:
13
Step-by-step explanation:
(4+√3)(4-√3) = (4)^2-(√3)^2 =16-3 = 13
Answer:
Step-by-step explanation:
(a + b)(a -b) =a² - b²
a = 4 and b = √3
(4 + √3)(4 - √3)= 4² - (√3)²
= 16 - √3*√3
= 16 - 3
= 13
The circumference of a circle is 16πw⁴.
Derive an expression for the area in terms of pi and w
Answer:
A = Pi (8 w**4)**2
Step-by-step explanation:
C = 16 Pi w**4 (given)
C = 2 Pi R (stand forula)
So then find R in terms of w by settting C = C from above
2 Pi r = 16 Pi w**4
2R = 16 w**4
R = 8 w**4
SO
A = Pi R**2
A = Pi (8 w**4)**2
If the circumference of a right cylinder is tripled, the volume will increase by a factor of _____.
Answer:the answer is 9
Step-by-step explanation:
Which graph represents a decreasing trend
Answer:
Excuse me! plz provide the graphs 2.
Find the equivalent exponential expression.
(4^2)4
Answer:
4^8
Step-by-step explanation:
If the second 4 is an exponent, as in (4^2)^4, then multiply the exponents.
(4^2)^4 = 4^(2 * 4) = 4^8
A bag contains eight tiles labeled A, B, C, D, E, F, G, and H. One tile will be randomly picked.
What is the probability of picking a vowel?
Write your answer as a fraction.
Answer:
1/4
Step-by-step explanation:
Count all of the vowels (this will be your numerator):
A and E
2
Count all of the letters (this will be your denominator):
A, B, C, D, E, F, G, and H
8
Write this as a fraction:
2/8
Simplify:
2/8 = 1/4
Jenn starts out with $2000 in her bank account. On average, she spends $150 a week from her account. At that rate, how many weeks will it take her to run out of money?
Answer:
About 13 weeks
Step-by-step explanation:
Find 'x' in the following
First we have to find angle D
As it is a quadrilateral
[tex]\\ \sf\longmapsto <A+<B+<C+<D=360[/tex]
[tex]\\ \sf\longmapsto 45+50+35+<D=360[/tex]
[tex]\\ \sf\longmapsto 130+<D=360[/tex]
[tex]\\ \sf\longmapsto <D=360-130[/tex]
[tex]\\ \sf\longmapsto <D=230°[/tex]
Now
[tex]\\ \sf\longmapsto <D+x=360[/tex]
[tex]\\ \sf\longmapsto x+230=360[/tex]
[tex]\\ \sf\longmapsto x=360-230[/tex]
[tex]\\ \sf\longmapsto x=130°[/tex]
Answer:
x = 130
Step-by-step explanation:
Sum of all the angle of quadrilateral = 360°
50 + 45 + 35 + ∠ADC = 360
130 + ∠ADC = 360
∠ADC = 360 - 130
∠ADC = 230
x = Reflex ∠ADC
= 360 - 230
= 130
Solve A = 1/2bh for h
Answer:
2A /b = h
Step-by-step explanation:
A = 1/2 bh
Multiply each side by 2
2A = 2*1/2 bh
2A = bh
Divide each side by b
2A/b = bh/b
2A /b = h
HELP PLEASE!!
Which best describes the relationship between the lines
with equations -3x – 4y = 1 and -6x – 8y = 2?
A. Perpendicular
B. Neither perpendicular or parallel
C. Parallel
D. Same line
Answer:
same line
Step-by-step explanation:
its the exact same equation, but the second is multiplied by 2
the Marked price of a book is rupees 160 if it is sold at 15% discount find the discount amount and selling price
answer is 15%
Step-by-step explanation:
cost prices of book =160
selling prices of book =136
now,rate of discount =loss% (as discount only leads to some kind of loss)
so CP>SP
so loss=CP-SP =160-136=24
loss%= (loss/CP)÷100
=(24/160)÷100
=15%
so rate of discount =15%
HELP ME PLS I NEEDA GET THIS RIGHT PLS PLS ITS PYTHAGOREAN THEOREM
2.8 mm
2mm^2=4mm
4mm+4mm = 8mm
square root of 8mm is 2sqrt2
2sqrt 2 is 2.8 mm
Solve for x if 25'+ 3(5') = 4
Answer:
x=0
Step-by-step explanation:
Let 5x = y.
(52)x+3(5x)−4=0
y2+3y−4=0
y2−y+4y−4=0
y(y−1)+4(y−1)=0
(y+4)(y−1)=0
y=−4;y=1
y = -4 is not possible.
y = 1 ⟹ x = 0.
Answer:
0
Step-by-step explanation:
Explanation:
A math teacher claims that the students' test scores are directly proportional to the amount of time spent studying. Amy studies 17 hours for a test and gets a score of 68. At this rate, how many hours would she have to study to get a score of 97?
Answer:
97/4 = 24.25 hours
Step-by-step explanation:
68 = 17x
x = 68/17 = 4
3x - 2y = 16 and x - 2y = 4 (any method <3)
Answer: (x, y) = (6, 1)
This means x = 6 and y = 1
==========================================================
Explanation:
I'll use the substitution method to solve this system.
Let's solve the second equation for x
x-2y = 4
x = 4+2y
Then plug that into the first equation so we can solve for y.
3x - 2y = 16
3(4+2y) - 2y = 16 ... x replaced with 4+2y
12+6y - 2y = 16
12 + 4y = 16
4y = 16-12
4y = 4
y = 4/4
y = 1
Lastly, use this y value to find x
x = 4 + 2y
x = 4 + 2(1)
x = 6
The solution as an ordered pair is (x, y) = (6, 1)
---------------------------------
Checking the answer:
Plug those x,y coordinates into the first equation
3x - 2y = 16
3(6) - 2(1) = 16
18 - 2 = 16
16 = 16
That confirms the first equation. Repeat for the second equation
x - 2y = 4
6 - 2(1) = 4
6 - 2 = 4
4 = 4
Both equations are confirmed.
Can someone help me on this math question its confusing ill give brainly when right!!!
Answer:
x=5
Step-by-step explanation:
x=[tex]\sqrt{25}[/tex]
x=5
Find C to two decimal places and find the measurement of angle be use your calculator
Let's solve
P=8B=5Using Pythagorean theorem
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto c^2=8^2+5^2[/tex]
[tex]\\ \sf\longmapsto c^2=64+25[/tex]
[tex]\\ \sf\longmapsto c^2=89[/tex]
[tex]\\ \sf\longmapsto c=\sqrt{89}[/tex]
[tex]\\ \sf\longmapsto c\approx 9.22[/tex]
It is Keke’s birthday, and her parents want to surprise her with a room full of balloons. Use the Fermi process
to estimate the number of balloons needed to fill Keke’s living room. Assume the living room is a rectangular
prism with a length of 30 feet, a width of 45 feet, and a height of 11 feet. Assume the balloons are spheres
with a radius of 0.45 feet. Show your work
Answer:
im not sure sorry .
Step-by-step explanation:
please help!! this is geometry
Step-by-step explanation:
1 and 3 are complimentary angles, meaning 1+3 = 180 degrees.
in the same way 1 and 2 are complimentary angles, 1+2 = 180, => 2 ≈ 3
and for 2 and 4 the same => 1 ≈ 4
3 and 5 are complimentary angles, 3+5 = 180 degrees, => 1 ≈ 5.
7 and 8 are complimentary angles, 7+8 = 180 degrees, => (given that 1 ≈ 7 and therefore ≈ 4) 8 ≈ 2 ≈ 3
6 and 8 are complimentary angles, 6+8 = 180 degrees, => 6 ≈ 7 ≈ 1
and with 1≈5 and 1≈6 we know 5≈6.
Using the graph, determine the equation of the axis of symmetry.
Answer:
x = 6
Step-by-step explanation:
The axis of symmetry passes through the vertex of the graph
It is a vertical line with equation
x = c ( c is the x- coordinate of the vertex )
vertex = (6, 1 ) with x- coordinate 6 , then
equation of axis of symmetry is x = 6
HELPPP
Which shapes have the greatest area?
(Select all that apply.)
Answer is 1st and 3rd shape
Whose area is 4 units
Answered by Gauthmath must click thanks and mark brainliest
Which of the following are valid probability distributions?
Answer:
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
It should be c 4,-5
hope it helps
Answer:
c. (4,-5)
Step-by-step explanation:
Point K is currently at (4,5). If reflected about x, the x-coordinate remains 4 and the y-coordinate becomes -5. Giving the answer (4,-5)
Which angle in ABC has the largest measure?
A.
B.
C.
D. Cannot be determined
Answer:
< B has the largest angle measure.
as it is opposite to longest side of triangle.
14. Peter needs to buy a package of pencils to write his final exam. The store offers two packages.
Package 1: pack of 6 pencils for $1.68
Package 2: pack of 9 pencils for $2.34
Determine the cost per pencil. Which is the better deal? Round to 2 decimal places. Show all your work for full marks. (3 marks)
calculate the speed, in ms-¹ of vehicle A and of vehicle B
9514 1404 393
Answer:
A: 0.32 m/sB: 0.56 m/sStep-by-step explanation:
The speed is the ratio of the change in distance to the corresponding change in time.
Vehicle A moves from a position of 12 m to one of 28 m in 50 seconds, so its speed is ...
A = (28 -12)/50 m/s = 16/50 m/s = 0.32 m/s
Vehicle B moves from 0 to 28 m in 50 seconds, so its speed is ...
B = (28 m)/(50 s) = 0.56 m/s
If the campers at Camp Grilled Meat prefer hot dogs to hamburgers by a ratio of 4:3, and they need 500 hot dogs, how many hamburgers will they need?
Step-by-step explanation:
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a horizontally laid standard weight pipe has a diameter of 10 inches and is 12 feet long. The pipe is filled 9 inches high with water. How many gallons of water does the pipe hold? (Round your answer to the nearest gallon.) Please help.
Answer:
d isósceles hijo muy graciosa ya no me acuerdo de nada y tu q ases hablas con el
Please show your work
[tex]1\frac{2}{3} + 2\frac{3}{4}[/tex]
Answer:
[tex]→1 \frac{2}{3} + 2 \frac{3}{4} \\ = \frac{5}{3} + \frac{11}{4} \\ = \frac{20 + 33}{12} \\ = \frac{53}{12}\\ =\boxed{4\frac{5}{12}}✓[/tex]
53/12 is the right answer.Steps:
1 2/3 + 2 3/4 can also be written as...
5/3 + 11/4
The LCD is 12 so we make both fractions have a denominator of 12.
That gives us 20/12+33/12
Now you can add the numerators (but leave the denominator the same)
That gives us 53/12, but our simplified version would give us 4 5/12 as our final answer.
Answer:
[tex]4\frac{5}{12\\}[/tex]
Please mark brainliest if that helps!
SEE QUESTION IN IMAGE
Answer:
Step-by-step explanation:
15) should be b) 6.7, 6 as the median is the average of the 25th and 26th result, these both occur in the 6 group and is the only option with a whole number for median
To check the mean
(2(4) + 7(5) + 17(6) + 10(7) + 8(8) + 6(9)) / 50 = 6.66 ≈ 6.7
16) mode is 1 child as the single largest grouping is 11 families
there were 46 families polled so the median occurs between 23 and 24
7 + 11 + 6 is 24 therefore median falls under 2 children.
a) 1, 2
