From a point 300 feet above ground in a firetower, a ranger spots two fires in the George Washington National forest. The angle of depression made by the line of sight from the ranger to the first fire is 3oand the angle of depression made by the line of sight from the ranger tothe second fire is 2o. The angle formed by the two lines of sight is 0117. Find the approximate distance between the two fires.
Answer:
The answer is "[tex]\bold{17456.6 \ ft}[/tex]"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\sin \theta = \frac{P}{h}\\\\\to BC =x\\\\\to BD =y\\\\[/tex]
The height of tower (AB) = 300 ft
Distance = CD
[tex]\Delta ABC \\\\\sin \theta = \frac{AB}{AC}\\\\\sin (2.5) = \frac{300}{AC}\\\\Ac= \frac{300}{\sin (2.5)}\\\\AC= 6877.68 \\\\\Delta ABD \\\\\sin \theta = \frac{AB}{AD}\\\\\sin (1.3) = \frac{300}{AD}\\\\AD= \frac{300}{\sin (1.3)}\\\\AC= 1322.33[/tex]
calculating CD :
[tex]CD^2 = AC^2 +AD^2 -2\cdot AC \cdot AD \cdot \cos(117^{\circ}) \\\\CD = \sqrt{(6877.68)^2 +(13223.23)^2 -2\cdot (6877.68) \cdot (13223.23) \cdot \cos(117^{\circ})}\\\\CD =\sqrt{47302482.1824 + 174853811.6329 - 82576463.207}\\\\CD= \sqrt{304732757.02}\\\\CD= 17456.6 \ ft[/tex]
Write an equation in standard form for the line that passes through the given points.
(-2-3) (4-7)
Answer: -3 is the answer!
Step-by-step explanation:
Find each angle measure in the triangle.
Answer:
30, 60, 90
Step-by-step explanation:
since there are 6 x's in total, and there are a total of 180 degrees in any triangle, we do 180/6= 30
so now we know x=30, 2x=60, and 3x=90
Write a fraction that is equivalent to 3/4 with a denominator of 20
Answer:
15/20
Step-by-step explanation:
1. Take the denominator of 3/4 and multiply it by 5 because that is what it takes to get 20 from 4.
4 x 5 = 20.
2. Multiply the numerator by 5 as well.
15/20
Answer:
3 / 4 = 15 / 20
Step-by-step explanation:
I think thats right
2. Rohit has notes of denominations 1000, 500 & 20. He has 40 notes of Rs.20 and 20
notes of Rs.1000. He made a payment of Rs.29300. How many notes of Rs.500 did he have?
a) 12
b) 14
c) 18
d) 17
Answer:
17
Step-by-step explanation:
To find how many notes of Rs. 500 he has, we need to find out the total value of all the Rs. 500 notes.
Total value of Rs. 20 notes = 20 × 40
= 800
Total value of Rs. 1000 notes = 1000 × 20
= 20 000
Total value of Rs. 500 notes = 29 300 - 800 - 20 000
= 8500
No. of Rs. 500 notes = 8500 ÷ 500
= 17
Rohit has total 17 notes of Rs.500
What is Unitary method?" Unitary method is the process of finding value of one unit using which we can find the value of other units."
According to the question,
Number of Rs.20 notes = 40
Total amount of Rs.20 = 20 × 40
= Rs.800
Number of Rs.1000 notes = 20
Total amount of Rs.1000 = 20 × 1000
= Rs.20,000
Total amount of Rs.20 and Rs.1000 notes = 20,000 +800
= Rs.20,800
Made a payment of Rs.29,300
Left amount of Rs.500 notes = 29,300 -20,800
= Rs.8500
Number of Rs.500 notes = 8500 ÷ 500
= 17 notes of Rs.500
Hence, Rohit has total 17 notes of Rs.500.
Learn more about unitary method here
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help asap! i’ll give brainliest
Answer:
question 4. The right answers are 1,3 and 4
Question 5. No they are not balanced.
Step-by-step explanation:
1.
7/9 * 8 = 6 2/9
56/9 = 6 2/9
2.
8 + 11.5 = 20.5
19.5 ≠ 20.5
3.
23.42 - 8 = 15.42
15.42 = 15.42
4.
11 * 8 = 88
88 = 88
5.
40/8 = 6
40/8 ≠ 6
Which unit rate is equivalent to 13 miles per gallon? 1) 26 miles 2 galons 2) 2 gallons 26 miles 3) 39 miles 4 gallons 4) 4 gallons 4 39 miles please answer fast!
Answer:
1)
Step-by-step explanation:
We just need to find a rate where the ratio of miles to gallons is 13:1
This only works for 1) 26 miles 2 gallons since 26/2 = 13/1
Answer:
I think it would be the first one. 26 miles 2 gallons
Step-by-step explanation:
Every gallon would be 13 miles. If you multiply 13 by 2 and 1 gallon by 2, you'll get 26 miles 2 gallons.
What is the LCM of 6, 10, and 15?
50
Answer:
okay
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
PLSS HURRY!!!
The line f(x) = x is graphed in the xy-coordinate plane.
How does the graph of the function f(x) + 1 compare to the graph of f(x)?
Answer:
Please check the attached diagram.
Thus, we conclude that:
In the diagram,
The red line represents the parent function f(x) = xThe blue line represents the function f(x) = x+1The blue line indicates that the parent function has been shifted 1 unit upward.
Step-by-step explanation:
Let us recall some transformation knowledge.
We know that
if y = f(x), then y = f(x) + b simply means a transformation of (0, b).
In other words, if we add some constant let say 'b' in the output or y-value, the graph simply shifts upward by b units.
Given that
f(x) = x
so
f(x+1) = x+1 means the parent function f(x) = x has been shifted 1 unit upward.
Please check the attached diagram.
Thus, we conclude that:
In the diagram,
The red line represents the parent function f(x) = xThe blue line represents the function f(x) = x+1The blue line indicates that the parent function has been shifted 1 unit upward.
What are the coordinates of the point where the x-axis and the y-axis intersect on a coordiantest plane
Answer:
(0,0)
Step-by-step explanation:
Over 5 hours, a bakery uses 45 sticks of butter. How
many sticks of butter will the bakery use in 4 hours?
Solve using unit rates.
Answer:
36 sticks
Step-by-step explanation:
if they use 45 in 5 hours do 45÷5=9
9×4=36
Please help. Will give brainliest. Please answer in SIMPLE terms. The book has the answer and solution but it just doesn’t make sense.
Answer:
250 cm²
Step-by-step explanation:
1 cm : 2 km
1 cm² : 4 km²
1 000 km² ÷ 4 km² = 250 cm²
Your cellphone bill in august was $61.43,which was $21.75more than your bill in July.Your cell phone bill in July was $13.62 less than your bill in June.what was your cell phone bill in June?
Answer:
53.3
Step-by-step explanation:
help help help help help help help help help
Answer:
x=3√5
Step-by-step explanation:
This is a right angle triangle
So the equation is
2²+x²=7²
x=√7²-2²
x=3√5
Answer:
x=3√5
Step-by-step explanation:
The ____________particles of an atom which are called electrons.
Answer:
Atomic Particles
The nucleus (center) of the atom contains the protons (positively charged) and the neutrons (no charge). The outermost regions of the atom are called electron shells and contain the electrons (negatively charged).
Step-by-step explanation:
1 of 6
© As an estimation we are told 5 miles is 8 km.
Convert 25.9 miles to km.
Answer:
41.68201 km=25.9 miles
Step-by-step explanation:
Answer:
Step-by-step explanation:
5m=8k
25.9m = ?k
25.9/5 = 5.18
5.18 X 9 = 46.62
Therefore 25.9 miles is 46.62 km
When computing the control limits for the p-chart, what value is used when the population proportion of defective items is not known
Answer:
sample proportion of defective items
Step-by-step explanation:
The p-chart is a type of chart in which the sample is taken periodically from the production process, so as to determine if the population proportion of defective items in the sample falls within the control limits on the chart.
For a P-chart, as the sample size gets larger it turns more into a normal distribution making it possible to approximate the distribution of the proportion defective.
Which of the statements is true
a. v7 is an integer
C. V25 is a rational number
b. V16 is an irrational number
d. 190 is neither rational nor irrational number
Answer:
The only valid choice is c.
Step-by-step explanation:
Rational Numbers
Rational numbers have the form a/b, where a and b are integers and b is not zero.
In other words, rationals are all numbers that can be written as a fraction.
Examples are -3/7, 11/2, 5, 0
Note the last two numbers are integers, but they are also rationals because an integer can be expressed as a fraction with a denominator of 1.
Irrational numbers are the opposite, they cannot be expressed as a fraction.
a. [tex]\sqrt{7}[/tex] is not an integer since it's irrational. False
c. [tex]\sqrt{25}[/tex] = 5 or -5. It is a rational number because it's an integer. True
b. [tex]\sqrt{16}[/tex] = 4 or -4. It is not an irrational number because it's an integer. False
d. 190 is a rational number. False
The only valid choice is c.
Which equation is equivalent to 9x+4y=16
Answer:
8x time 2x= 16
pls help ill give brainly
just need an answer and explanation please and thank you
A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank A has 5 fishes with a volume of 40 liters. Tank B has 12 fishes with a volume of 100 liters. Tank C has 23 fishes with a volume of 180,000 milliliters. Which tank has the greatest volume per fish?
Answer:
Tank B
Step-by-step explanation:
A pet store has three fish tanks, each holding a different volume of water and a different number of fish.
a) Tank A has 5 fishes with a volume of 40 liters.
Volume per fish = 40 liters/5 fishes
= 8 liters/fish
b) Tank B has 12 fishes with a volume of 100 liters.
Volume per fish = 100 liters/12 fishes
= 8.33 liters/ fish
c) Tank C has 23 fishes with a volume of 180,000 milliliters.
Convert 180,000 milliliters to liters
1 milliliter = 0.001 liter
180,000 milliliters = x
x = 180,000ml × 0.001 l
x = 180 liters
Volume per fish = 180 liters/23 fishes
= 7.8260869565 volume per fish
Approximately = 7.83 liters/fish
Which tank has the greatest volume per fish?
The tank that had the greatest volume per fish is Tank B at 8.33 liters/ fish
Sorry if it's a bad picture I just need help asap
Answer:
y=9
Step-by-step explanation:
they grow together by the same amount
Answer:
27/2...or 13.5 as a decimal
Step-by-step explanation:
the ratio of y and x is y/x or, 9/2 with 9 being the y and 2 being the x
the X changed to 3, so y/3 is the new ratio. Since we have another ratio, we can compare them to get the y
the equation : 9/2=y/3--2x=27--
x=27/2
If f(x) =x/2 +8, what is f(x) when x = 10?
O 4
O9
O 13
O 36
) Emma already owns 8 hair bands, and additional hair bands are priced at 3 for a dollar.
How much money does Emma need to spend on new hair bands in order to own a total of
47 hair bands?
Answer:$15.66
Step-by-step explanation:
[tex] \ \sqrt{348} [/tex]
Answer:
explanation:
√348 =
18.6547581062
PLS HELP ALBEBRA 1 IN NEED OF ASSISTANCE SOLVE THIS RATIONAL EQUATION
Answer:
x=3
Step-by-step explanation:
Since both denominators are the same, you can cancel them out.
Now all you have to solve is 4x-1=11 which means x=3
can someone asnwer this please ;-;
In ΔJKL, \overline{JL}
JL
is extended through point L to point M, \text{m}\angle KLM = (7x+3)^{\circ}m∠KLM=(7x+3)
∘
, \text{m}\angle LJK = (2x+12)^{\circ}m∠LJK=(2x+12)
∘
, and \text{m}\angle JKL = (3x+7)^{\circ}m∠JKL=(3x+7)
∘
. Find \text{m}\angle LJK.m∠LJK
Answer:ok
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Jeremy drinks 6 1/2 cups of milk each day. If he has x cups of milk now, how much milk will he have in 3 days? Explain why you choose your answer
a. 3x * 6 1/2
b. x - 3 - 6.5
c. x + 3(-6.5)
d. 3(- 6 1/2) ÷ x
A
Step-by-step explanation:
cause he drinks 61/2 m8lk per day
Pic’n’mix sweets cost 56p per quarter. How much would 9 ounces cost? (There are 4 ounces in a quarter.)
Answer:
126p
Step-by-step explanation:
56 divided by 4 = 14p per ounce
14 x 9 = 126p per 9 oz.