Answer:
514 m = width of the river to the nearest meter
Step-by-step explanation:
You must memorize the definitions of the trig functions and then these types of problems are easy.
You have a right triangle where the 100 m is the adjacent side to the 79° angle. You are looking for the side opposite the 79° angle. So, you need to use the tan function which is defined as opposite side/adjacent side
Let x = the length of the opposite side (width of river)
Tan 79 = x/100
100 tan 79 = x
x = 514 m = width of the river to the nearest meter
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The width of the river is 514.455 meters.
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,
Base is the adjacent smaller side of the angle θ.
As it is given that you walk 100 meters to the right of the stake and measure a 79° angle between the stake and the boulder. Therefore, using the tangent angle the width of the river can be written as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}\\\\\\\rm tan(79^o) = \dfrac{\text{Width of the river}}{100\ meter}\\\\\\\text{Width of the river} = tan(79^o) \times 100 = 514.455\ meters[/tex]
Hence, the width of the river is 514.455 meters.
Learn more about Tangent (Tanθ):
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On a flight from San Diego to Baltimore 18 of 156 seats on empty. What is the ratio of filled seats to empty seats on the flight
Answer:
Step-by-step explanation:
What symbol makes the statement true?
4/6 3/8
Answer:
>
Step-by-step explanation:
because
16/24 > 9/24 :)
Please Help! Brainliest Answer! Thank you
Answer:
Step-by-step explanation:
Since WV || XY, V and Y are same side int. angles
same side int angles add up to 180
V+Y=180
subst -> 60+V=180
V=120
Are vacuoles small or large? PLS HELP I NEED THIS ANSWER FAST!
Answer:
large
Step-by-step explanation:
What are the values of x in the quadratic equation below? Select two options. ( x − 2 ) ( x + 4 ) = 0
Which of the following shows the extraneous solution to the logarithmic equation below?
2 log Subscript 5 Baseline (x + 1) = 2
x = negative 6
x = negative 4
x = negative 2
x = negative 1
Answer:
A.-6
Step-by-step explanation:
on edg
Answer:
A) -6
Step-by-step explanation:
plz help me with this math question
Answer:
8^2-60 , 11^1 , 2^2x5
Step-by-step explanation:
2^2= 4
4 x 5 = 20
11^1= 11
8^2= 64
64-60 = 4
Use the graph shown above to find the
equation of the line passing through the point
in slope-intercept form
Answer:
You do not
have graph, child.
I need help on this slope interception
Answer:
Step-by-step explanation:
0 -3 y intercept is -3 when x is 0
x y
-1 1 0 -3 subtract 1 for x and 3 for y
2 3
3 6
4 9
x only increase by ones y increases by threes
so the slope is y/x which means 3/1 up three, 1 to the right
y=mx+b
y = 3x-3
12) help pls I have the answer I just need to show the work
Which expression is correct for “y”?
Answer: A
Answer:
y = tan-1 (31/23)
Formula: SOHCAHTOA
TOA: tan = opposite/adjacent
31 / 23 = 1.3478
tan-1 of 1.3478 is 53.4264
53.4264 = 53 (rounding to the nearest degree)
y = 53 degrees
Daisy can clean a house in 9 hours. When she works together with her sister Bella, it takes them 5 hours. Let x represent how long it takes Bella to clean the
house by herself.
Set up an equation to represent the situation. Do not solve.
Answer:
×= 5hrs
Step-by-step explanation:
Daisy 9 hrs
Bella my son 5hrs
PLS HELP I NEED IT ASAP ILL MARK BRAINLIEST
Answer:
Earth : Moon
1 : 27
Step-by-step explanation:
24 hrs = 1 day
so the ratio is up there
Hope I helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
3 time the sum of a number and 5
Answer:
3(x+5) is the answer.
URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pts)
Answer:
Here is the answer I solved.
2x + 3 > 13
Whats the answer plz help
Answer:
In this case, you can simply treat the > sign like an = sign. The only time you would need to worry about is when multiplying or dividing by negative numbers.
2x + 3 > 13
2x + 3 - 3 > 13 - 3
2x > 10
2x / 2 > 10 / 2
x > 5
Please help you guys, Look at the picture attached
Answer:
Step-by-step explanation:
if (x,y) is the centroid. Then x=(x1+x2+x3)/3,y=(y1+y2+y3)/3
5.
x=(-2+4+10)/3=4
y=(6+0+6)/3=4
centroid=(4,4)
6.
x=(3+5-2)/3=2
y=(3-1+1)/3=1
centroid=(2,1)
please help
find the value of x in the isosceles triangle shown below.
Answer:
x = square root of 55
x^2 = 8^2 - 3^2
x^2= 64 -9
x = square root of 55
a vacant rectangle lot is being turned into a community pool with a concrete path around it. the area of the lot is represented by 4x² +4c -48 where x is the length of the path in yards what is the length of the path A. 3 yards B 4 yards C. 12 yards D. 48 yards
Answer:
Step-by-step explanation:b448
Plan help with one I really need it
Answer:
Step-by-step explanation:
1) Area of garden = side * side
= 10* 10
= 100 Sq.m
2) Area of each flowerbed = 1*1 = 1 sqm
3) Area of 4 flowerbed = 1 * 4 = 4 sqm
Area of the remaining garden = Area of garden - area of 4 flower bed
= 100 - 4
= 96 sq.m
4) Length of the fence = 4 *side
= 4 * 10 = 40 m
5) Cost of planting in the remaining garden = 96 * 20
= ₹ 1920
which is faster 1m/s or 1km/h
Answer:
The answer is 1m/s
How many Square feet of outdoor carpet will we need for this hole? plzz helpp!
Answer: I would say 4 square feet
Step-by-step explanation:
Pls give brainliest
Please help this is timed
Large Sugar cubes measure 1/2 inch on each edge. They fit into a rectangular container that is 2 inches long, 1 1/2 inches wide and 1 1/2 inches tall.
The volume of each cube is _____.
____ sugar cubes will fit into the container.
Step-by-step explanation:
multiple 1/2 × 2 × 1 1/2
you can download Desmo calculator or write down what you multiple neatly on a piece of paper and use photo math
The letters for the word SCHOOL are placed in a hat. What is the probability of drawing the letter o out of the hat?
Answer: 2/6 or 1/3
Step-by-step explanation:
SCHOOL has 6 letters in it and two O's. Therefore, it would be 2/6 or simplified it would be 1/3.
That was FUN!
Lydia invested $83,000 in an account paying an interest rate of 6.7% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $210,100?
Answer:
14
Step-by-step explanation:
The required time for Lydia's account to reach $210,100 is 13.9 years.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
First, convert R as a percent to r as a decimal
r = R/100
r = 6.7/100
r = 0.067 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(210,100/83,000) / ( 12 × [ln(1 + 0.067/12)] )
t = ln(210,100/83,000) / ( 12 × [ln(1 + 0.0055)] )
t = 13.9 years
Thus, the required time for Lydia's account to reach $210,100 is 13.9 years.
Learn more about compound interest here: https://brainly.com/question/14295570
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A deli offers bag lunches with 2 bread choices and 3 meat choices, as shown in this tree diagram.
What is the probability that someone will randomly choose a turkey sandwich?
A) 2/3
B) 1/2
C) 1/6
D) 1/3
Answer: 1/3
Step-by-step explanation:
The total cost of a tablet device comprises the cost of material, labour and overheads in the ratio 3:4:1. The cost of material is $315. What is the total cost of the tablet?
Answer:
The total cost of the tablet is $840
Step-by-step explanation:
Here, we want to calculate the total cost
Let the total cost be $x
From the ratio, the total ratio is 3 + 4 + 1 = 8
so,;
3/8 * x = 315
3x = 8 * 315
x = 8/3 * 315
x = 8 * 103
x = 840
I need help pls please
Answer:
3.80
Step-by-step explanation:
Answer:
3.801
Step-by-step explanation:
Divide and move your decimals.
I really need to know this answer! Please help
Answer:
Area of rectangle = 54
Area of triangle= 18
Total area = 72
Step-by-step explanation:
Area of rectangle = length × width
= 9 × 6
= 54
Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height
[ Height of the triangle = 10 - 6 = 4 ]
Area of a triangle = [tex]\frac{1}{2}[/tex] × 9 × 4
= 18
Total area = Area of rectangle + Area of triangle
= 54 + 18
= 72
[ The unit should be: [tex]cm^{2}[/tex] or [tex]m^{2}[/tex] etc.; it should have the 'square'. ]
he cost of 7 toys is AED 294. Find the cost of 5 toys. (Unitary method)
Which is the rationalized form of the expression sqrtx/sqrtx+sqrt7
Answer:
(x - √7*√x) / (x - 7)
Step-by-step explanation:
I suppose your expression is √x / (√x + √7)
(√x * (√x - √7)) / ((√x + √7) * √x - √7)) = (√x * √x - √7 * √x) / (x - 7)
= (x - √7*√x) / (x - 7)
Answer:
Its A
Step-by-step explanation:
I just took the test on edge