Answer:
C. 5^4
Step-by-step explanation:
(5^4 * 5^5) / 5^5
5^9 / 5^5
5^4
a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?
Step-by-step explanation:
tan3 = 200/x
x = 200/tan3
The question is incomplete. The right question is:
A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?
The distance between the fire and the base of the tower is 3816.2 feet.
What is the concept of height and distances?Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.
How do we solve the given question?We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.
We are asked to find the distance between the fire and the base of the tower.
We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.
We let the distance between the fire and the foot of the tower be x foot.
∠BCA = ∠DAC = 3° (alternate angles).
Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)
In ΔABC,
tan ∠BAC = BC/AB (tan θ = perpendicular/base)
or, tan 87° = x/200
or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).
∴ The distance between the fire and the base of the tower is 3816.2 feet.
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If 4c + 10= 20 -16c, what is 8c?
Find the area of the shape shown below.
Answer:
To find the area break up the shapes:
The rectangle is A = bh which is 7*3 which is 21.
Triangle: A = 1/2(bh)
A=1/2(3*7)
A=1/2(21)
A=10.5
Now add up the areas:
21+10.5
=
31.5
The answer is 31.5 units.
Does anyone know the answer to question 6?
Answer:
35
Step-by-step explanation:
HELP ME ASAPPPPPPPPPPPPPPP
Answer:
a because i said so trust me
Step-by-step explanation:
Answer:
The number of students that the club needs is at least 8
Step-by-step explanation:
The club would at least need 8 people.Add 15 and 8 together and you get 23.More people would be better but all the club really needs is 8.
(PLEASE HELP)
Find the area of the triangle.
Answer:
3.15km²
Step-by-step explanation:
A = bh/2
I need some help on this question
Answer:
Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end.
Step-by-step explanation:
So as to say that irrational numbers can't be a squared root because of there decimals.
what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2
Answer:
A
Step-by-step explanation:
Solve for x if: y = -6 and -10x + 7y = 18
A) 8
B)-18
C)-6
D)9
Answer:
Step-by-step explanation:
-10x+7(-6)=18
-10x-42=18
+42 +42
___________
-10x/-10=60/-10
x= -6
What is a digit in the hundredths pace has 1/10 the value of the same digit of the same digit in the tenths pace?
Answer:
4,099 and 5,011 are the numbers whose ones place is 1/10 the value of the digit in the tens place. Step-by-step explanation: 1 : 4,099 - Yes, The digit at the ones place is 9 and the digit at the tens place is 90 (as per place value). So, 9 is one tenth of 90.
Which of these is a simplified form of the equation 13z + 2 = 8 + 2z + 1z? (4 points)
a
10z = 6
b
10z = 10
c
4z = 6
d
4z = 10
Answer:
a part
Step-by-step explanation:
Answer is attached....
Hope it helps:)
14476 as a percentage
Answer: 1447600%
Step-by-step explanation: in order to convert number to percentage you’d have to multiply the given number by 100 and then add a percentage sign
Consider right triangle AJKL below.
K
L
60
5.2
3
J
Which expressions represent the length of side KL?
A car used 16 gallons of gasoline and traveled a total distance of 460 miles. The car's fuel efficiency is 30 miles per gallon on the highway and 25 miles per gallon in the city. How many gallons of gasoline were used on the highway.
Answer:
12 gallons
Step-by-step explanation:
Total gallons = 16 gallons
Total distance = 460 miles
Fuel efficiency in the highway = 30 miles per gallon
Fuel efficiency in the city = 25 miles per gallon
Let
h = gallons of gasoline were used on the highway.
460 = 30h + 25(16 - h)
460 = 30h + 400 - 25h
460 - 400 = 30h - 25h
60 = 5h
h = 60/5
h = 12 gallons
12 gallons of gasoline were used on the highway.
Which equation describes a line that passes through the point (-6, 2) and is parallel to
the line represented by 2y - 4x = 10?
Anyone know??
Answer:
y = 2x +14
Step-by-step explanation:
2y - 4x = 10
=> 2y = 4x + 10
=> y = 2x + 5
↑ the slope of this equation
parallel lines have the same slope, thus, the equation in the 4 options must have the same slope: 2.
plug in point (-6, 2) & the slope "2" into the equation: y = ax + b to find "b."
=> 2 = -6(2) + b
=> b = 14
plug in the slope "2" and the y-intercept(or b) "14" into the equation: y = ax + b
=> y = 2x +14
Dave learned a total of 10 appetizer recipes over the course of 5 weeks of culinary school.
After how many weeks of culinary school will Dave knov a total of 12 appetizer recipes?
Assume the relationship is directly proportional.
Answer:
4.8
Step-by-step explanation:
Answer:
6 weeks
Step-by-step explanation:
(12/10)5 = 6 weeks
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
B. 25%
Step-by-step explanation:
Total 16 students
4 scored above 90
so 4/16= 0.25
Answer: 25%
plz mark me as brainliest.
Which statement describes the relationship between the length of a rain delay and the number of hours of rainfall?
OA. During several storms, there were five delays.
ОВ.
During several storms, it rained for six hours.
OC. During several storms, there were five hours of delay for every eight hours of rain
OD. During several storms, the longer it rained, the shorter the delay
Answer: c. during several storms, there were five hours of delay for every eight hours of rain
Step-by-step explanation: i just had this question
2. What is the slope in this equation? y =2x +1
y
2
х
1
Answer:
the slope equals 2. otherwise known as the coefficient of x.
In the diagram, the ratio of AB to AE is 1/2. What is the ratio of the length of DB to the length of CE?
Answer:3/2
Step-by-step explanation:
What is the measure of ZMJK in the figure below?
M
2
7
320
7
K
O A. 58
B. 64
O C. 32
O D. 60
O
E. 15°
F. Cannot be determined
.
Answer:
Angle MJK = 64°
Step-by-step explanation:
In ∆MJL & ∆LJK,
JL= JL ...(common side)
Angle JML = Angle JKL ....( each 90°)
MJ = JK ....( Both measures 7)
Hence, by SAS criteria, ∆ MJL = ∆ LJk
.°. by C.P.C.T , ∠MJL = ∠LJK = 32°
Also,
∠MJK = ∠MJL+∠LJK
∠MJK = 32°+32°
∠MJK = 64°A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr
The average speed of the car for the given distance is 91.97 km/hr.
What is speed and velocity?While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.
Given that, a car started 35 minutes later that is it started after:
35 minutes = 35/60 = 0.5833 hours
Now the distance is given as:
distance = speed x time
Now, for speed = 65 km/hr:
distance = 65t
For the car the time is (t - 0.5833) thus:
distance = speed x time
130 = speed x (t - 0.5833)
Now for speed we have:
30 = s x (t - 0.5833)
130 = st - 0.5833s
130 + 0.5833s = st
130/s + 0.5833 = t
Now, substituting the value of t in the equation of the van we have:
distance = 65t
distance = 65(130/s + 0.5833)
130/s + 0.5833 = distance/65
130/s + 0.5833 = distance/65
130/s + 0.5833 = 130/65
130/s + 0.5833 = 2
s = 91.97km/hr
Hence, the average speed of the car for the given distance is 91.97 km/hr.
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Explain why each statement is true. 5 + 2 + 3 = 5 + (2 + 3)
Answer:
Associative property of addition. Grouping different addends does not change the sum.
Step-by-step explanation:
5 + 2 + 3 = 5 + (2 + 3)
10 = 5 + (5)
10 = 10
Which expression is equivalent to -7(y-2)?
A. -7y - 2
B. -7y + 2
C. -7y - 14
D. -7y + 14
Answer:
D) -7y + 14
Step-by-step explanation:
-7 x y = -7y
-7 × -2=14 ( negative times negative equals positive)
Classify this triangle by its sides and angles.
Answer:
right and scalene
Step-by-step explanation:
all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.
pls help with this immediately!!!! i’ll be giving brainiest to those who provide the correct answer. if u leave a link, have fun getting reported.
Answer:
I belive it is Parellelogram
Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).
Answer:
5⁶
Step-by-step explanation:
We have
[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]
Franklin treated his sister to lunch while visiting her in Ashland. Their lunch cost $75, and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the $75, how much in total did he pay?
Answer:
$96
Step-by-step explanation:
If you doing ixl M.10 Multi-step problems with percents
i did this question and it's 96.hope this helps
Total cost of pay for the lunch will be $96.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The cost of lunch = $75
Sales tax = 8%
Tip = 20%
Now,
The cost on sales tax = 8% of $75
= 8/100 x 75
= $6
Thus, The cost on sales tax = $6
And, The cost for tip = 20% of $75
= 20/100 x 75
= $15
Thus, The cost for tip = $15
So, Total cost to pay for lunch = $75 + $6 + $15
= $96
Thus, Total cost of pay for the lunch will be $96.
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Find the slope of the line that passes through points (4,5) and (3,-4)?
Answer:
slope=9
Step-by-step explanation:
whole equation=y = 9x – 31
hope that helps
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have a great day/night
PLS HELPP!! thank you
Answer:
$20.71/[tex]ft^{2}[/tex]
Step-by-step explanation:
290 ÷ 14 = 20.71 (rounded)