Answer:
The distance the hiker must travel is approximately 5.5 miles
Step-by-step explanation:
The distance between the two cell phone towers = 22.5 miles
The distance between the hiker's phone and Tower A = 14.2 miles
The distance between the hiker's phone and Tower B = 10.9 miles
The direction of the highway along which the towers are located = East to west
The direction in which the hiker is travelling to reach the highway quickly = South
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
Let 'a', 'b', and 'c', represent the sides of the triangle formed by the imaginary line between the two towers, the hiker's phone and Tower A, and the hiker's hone and tower B respectively, we have;
a = 22.5 miles
b = 14.2 miles
c = 10.9 miles
Therefore, we have;
22.5² = 14.2² + 10.9² - 2 × 14.2 × 10.9 × cos(A)
cos(A) = (22.5² - (14.2² + 10.9²))/( - 2 × 14.2 × 10.9) ≈ -0.6
∠A = arccos(-0.6) ≈ 126.9°
By sine rule, we have;
a/(sin(A)) = b/(sin(B)) = c/(sin(C))
∴ sin(B) = b × sin(A)/a
∴ sin(B) = 14.2×(sin(126.9°))/22.5
∠B = arcsine(14.2×(sin(126.9°))/22.5) ≈ 30.31°
∠C = 180° - (126.9° - 30.31°) = 22.79° See No Evil
The distance the hiker must travel, d = c × sin(B)
∴ d = 10.9 × sin(30.31°) ≈ 5.5
Therefore, the distance the hiker must travel, d ≈ 5.5 miles.
Find mZN.
62°
K
N
Need help with this question?
Answer:
118degrees
Step-by-step explanation:
Assuming we are given the following and m<k and ,<N lies on the same straight line, hence;
m<K = 62 degrees
n<N = ?
Since are on the same straight line, hence;
m<N + m<K = 180
m<N + 62 = 180
m<N = 180 - 62
m<N = 118
Hence the measure of m<N is 118degrees
'
,
Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches. A. 36 in. B. 48 in. C. 52 in. D. 64 in.
Answer:
A) 36 inches
36 Incheon is the correct answer
Answer:
D.) 64pi in.³
Step-by-step explanation:
I got it right in quiz, trust me.
I hope this helps! ^^
A skyscraper that stands 620 feet cast of shadow that is 125 feet long. What is the ratio of the shadow to the height of the skyscraper?
what is equivilent to 0.5y + 10.5 + 6.5y - 0.5 - 0.5y
Answer:
6.5y + 10
Step-by-step explanation:
0.5y + 10.5 + 6.5y - 0.5 - 0.5y
combine like terms
6.5y + 10
Answer:
m
Step-by-step explanation:
f
What is the Surface Area of the Triangular Prism below?
Answer:
c ) 2480 cm²
Step-by-step explanation:
Surface Area of a Triangular prism =
S = bh + lb + 2ls
b = 30cm
h = 8cm
s = 17 cm
l = 35cm
The surface area = 30cm × 8 cm + 35 × 30 cm + 2(35 × 17)
= 240 cm² + 1050 cm² + 1190 cm²
= 2480 cm²
Option c is the correct option
Write an equation in point-slope form and slope-intercept form for each line
1. passes through (1, 9), slope = 2
2. passes through (4, -1), slope = -3
An equation of a line in point-slope form: y - y₁ = m(x - x₁)
1.
passes through (1, 9) ⇒ x₁ = 1, y₁ = 9
slope: m = 2
The equation:
y - 9 = 2(x - 1) ← point-slope form
y - 9 = 2x - 2 {add 9 to both sides}
y = 2x + 7 ← slope-intercept form
2.
passes through (4, -1) ⇒ x₁ = 4, y₁ = -1
slope: m = -3
The equation:
y + 1 = -3(x - 4) ← point-slope form
y + 1 = -3x + 12 {subtract 1 from both sides}
y = -3x + 11 ← slope-intercept form
Write an equation in point-slope form of the line that passes through the point(3,5) and has a slope of m=-1
The math teachers decided to throw a party. One teacher bought 7 cookies and 2 ice cream bars for $10.95. Another teacher bought 4 cookies and 3 ice cream bars for $10.25 . How much did one cookie and one ice cream bar cost, individually?
Answer:
0.95, 2.15
Step-by-step explanation:
cookie-x
ice bar-y
7x+2y=10.95 (*3)
4x+3y=10.25 (*2)
21x+6y=32.85
8x+6y=20.5
21x-8x=32.85-20.5=12.35
13x=12.35
x=0.95
2y=10.95-7*0.95=4.3
y=2.15
what is 2 divided by 1/2
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
to me when you divide with a farction it already is divsion but when u use it in divson i make nubmer bigger (if it's the 2nd number ) so thats way 2÷1/2=4
What is the expanded form of 1,693,222,527? A. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 220,000 + 20,000 + 2,000 + 500 + 20 + 7 B. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 500 + 20 + 7 C. 1,000,000,000 + 600,000,000 + 9,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 500 + 20 + 7 D. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 200 + 50 + 7
Answer:
A.
Step-by-step explanation:
Answer:
A. 4,000,000 + 600,000 + 10,000 + 2,000 + 200 + 50 + 8 + 9
Step-by-step explanation:
Find the measurements of DBC
Answer:
72 degrees
Step-by-step explanation:
To determine the value of DBC, we first have to determine the value of q
Angle on a straight line = 180 degrees
7q - 46 + 3q + 6 = 180
10q - 40 = 180
collect like terms
10q = 180 + 40
10q = 220
q = 22
Substitute for q in angle dbc
3(22) + 6 = 72 degrees
Pew research reported in 2013 that 15% of American adults do not use the internet or e-mail. They report a margin of error of 2.3 percentage points. The meaning of that margin of error is: A) If they repeatedly sampled from the population, and constructed a confidence interval for each estimate, about 2.3% of those intervals would capture the proportion of American adults who don't use the internet or e-mail. B) They estimate that 2.3% of those surveyed answered incorrectly. C) There is a 2.3% probability that their estimate is incorrect. D) They are pretty sure that the poll result differs from the actual percentage of American adults who don't use the internet or e-mail by 2.3% or less.
Answer:
B) They estimate that 2.3% of those surveyed answered incorrectly
Step-by-step explanation:
hope it helps you dude
A=1/2h(b+b)
a
77 ft sq.
b
29 ft sq
c
154 ft sq
d
392 ft sq.
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
Putting values in the equation
A = 1/2(7)(8 + 14)
= 1/2(7)(22)
= 1/2(154)
= 77 ft. sq
Option A is the correct answer
What is 14 + 6 =
+11
Since, 14 + 6 = 20
Therefore, 14 + 6 = 9 + 11
dont forget to like and mark me
Answer:
31
Step-by-step explanation:
Rewrite the expression using a DIVISION SYMBOL: "The quotient of m and 7."
Answer:
m ÷ 7
Step-by-step explanation:
"Quotient" means you're dividing, so this just means you're dividing m by 7.
Gina had 1/2 a liter of Dr. Pepper. She gave 2/5 of a liter to her friend. How much does she have left?
Answer:
1/10
Step-by-step explanation:
1) find a common factor between the two denominators.
2 and 5 have a common factor of 10. you can find this by multiplying the denominators.
2) now that you have a common denominator of 10, you'll need to change the numerators too. you do this by finding out how many times the denominator goes into your common factor. 5 goes into 10 two times so you would multiply 2 x 2. two goes into 10 five times so multiply 5 x 1.
3) you now have both fractions that share a common factor. now you have to subtract them.
5/10 - 4/10 = 1/10
Here are the ingredients needed to make 16 biscuits.
Biscuits
Ingredients to make 16 biscuits
175 g of butter
75 g of sugar
250 g of flour
Anna has
500 g of butter
300 g of sugar
625 g of flour
Work out the greatest number of biscuits Anna can make.
Answer:
40 biscuits
Step-by-step explanation:
Here are the ingredients needed to make 16 biscuits.
From the above question
Ingredients to make 16 biscuits
175 g of butter
75 g of sugar
250 g of flour
Anna has
500 g of butter
300 g of sugar
625 g of flour
To find the greatest number of biscuits she can make:
For flour
250g of butter = 16 biscuits
625g of butter = x
Cross Multiply
250x = 625 × 16
x = 625 × 16/250
x = 40 biscuits
What is the range of the function f(x) = -4|x + 1| − 5?
A. (-∞, -5]
B. [-5, ∞)
C. [-4, ∞)
D. (-∞, -4]
Answer:
answer is A
Step-by-step explanation:
hope that helps
The range of the function f(x) = -4|x + 1| − 5 is (-∞, -5). The correct option is A.
What are a domain and range?The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f. (x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value.
The given function is f(x) = -4|x + 1| − 5. Plot the function on the graph and it is observed that the range of the function varies from -∞ tp 5.
The graph of the function is attached with the answer below. The absolute function has the vertex at (-1,-5).
Therefore, the range of the function f(x) = -4|x + 1| − 5 is (-∞, -5). The correct option is A.
To know more about domain and range follow
https://brainly.com/question/1942755
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what is the maximum number of interior reflex angles that a hexagon can have?
Multiply the additive inverse of -1/14 with the multiplicative inverse of 21/49.
Chapter : Rational Numbers
Answer:
1/6
Step-by-step explanation:
When we talk of additive inverse, we mean the value we will add to a certain number to give 0
for example, the additive inverse of 4 is -4
Hence, the additive inverse of -1/14 is 1/14
The
multiplicative inverse is the number multiplied by another that gives 1
For example, the multiplicative inverse of 4 is 1/4
Thus, we have it that;
multiplicative inverse of 21/49 is 49/21
multiplying;
1/14 * 49/21 = 1/6
Answer:
Answer:
1/6
Step-by-step explanation:
When we talk of additive inverse, we mean the value we will add to a certain number to give 0
for example, the additive inverse of 4 is -4
Hence, the additive inverse of -1/14 is 1/14
The
multiplicative inverse is the number multiplied by another that gives 1
For example, the multiplicative inverse of 4 is 1/4
Step-by-step explanation:
Right triangle EFG it is known that the side opposite of acute angle F has a length of 18 inches and the leg adjacent to F has a length of 14 inches. Which of the following is closest to angle F
1. 38° 2. 65° 3. 52° 4. 72°
Answer:
3
Step-by-step explanation:
The closest angle to F in the triangle is 52 degrees.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that Right triangle EFG it is known that the side opposite of acute angle F has a length of 18 inches and the leg adjacent to F has a length of 14 inches.
We can use the tangent function to find the measure of angle F:
tan(F) = opposite/adjacent = 18/14
we can find the inverse tangent of this value:
F = tan⁻¹(18/14)
= tan⁻¹(1.28)
F= 52.15°
Hence, the closest angle to F in the triangle is 52 degrees.
To learn more on trigonometry click:
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What is the measure of the unknown segment?
Answer:6
Step-by-step explanation:
An operator at the top of a lighthouse sights a sailboat. The point from which the sighting is made is 25 m above sea level. The angle of depression of the sighting is 10 degrees. How far is the boat from the base of the lighthouse?
Answer:
141.78 m
Step-by-step explanation:
Let d = distance of boat from the base of the lighthouse
Tan 10 = 25/d
d tan 10 = 25
d = 25/tan 10
d = 141.78 m
is it possible to have the ordered number pair 3;7 on the graph
Answer:
Yes it is possible. Start at (0,0) which is the orgin and go right on the x-axis 3 spaces, and go up on the y-axis 7 spaces to get to the ordered pair of (3,7).
Step-by-step explanation:
Factor 21b + 18.
Write your answer as a product with a whole number greater than 1.
plz help
Answer:
3(7b+6)
Step-by-step explanation:
Simply find the greatest common factor between 21b and 18, which is 3. Then that's your simplest factorized expression.
Which represents a quadratic function?
Answer:
B
Step-by-step explanation:
a is a cubic. A cubic is an equation that has 3 on its base x to become x^3 as it's highest power. That is not a quadratic. A cubic and a quadratic are not the same thing.
b is a quadratic The highest power is 2 on the base (x) to become x^2. That is how a quadratic is defined.
c is a reciprocal. It has its highest power in the denominator, and that is not a quadratic. A quadratic is an equation whose highest power is 2 on its base (x) and whose highest power is in the numerator, not the denominator. This choice is rather tricky because the quadratic formula can be used on it if you change x = 1/z. Then the equation becomes f(x) = 4z^2 - 2z + 1. But as it is given and likely as you have been told, this is not a quadratic. This will factor into (2z - 1)(2z - 1). If I were a student, I'd question this one. It would be interesting to see how your instructor would eliminate it.
d is just a linear function. Since x^2 is multiplied by 0, it disappears. What is left is f(x) = -9x + 7 which is a linear function.
The current in a stream moves at a speed of 5 km/h. A boat travels 20 km upstream and 20 km downstream in a total of 3 hours. Find the speed of the boat in still water.
Answer:
14
Step-by-step explanation:
im right
What is the approximate surface area of this right prism with triangular bases?
Answer:
394.2 ft
Step-by-step explanation:
7.8(9)=70.2
This is the measurement for the two triangular sides
9(12)(3)=324 This is the measurement for the three triangular sides
70.2 +324 = 394.2 APPROX
A decagon.
Gregory drew this regular decagon. All angles have the same measure.
What is the sum of the interior angle measures?
°
What is the measure of each angle?
°
Answer:
78
Step-by-step explanation:
Answer:
1440 and 144 on edg 2020-2021
Step-by-step explanation:
Emily buys some of her clothes second
hand. If 75% of her shirts are second hand
and she owns 24 shirts, how many of
Emily's shirts are second hand?
Answer:
18 shirts
Step-by-step explanation:
75% of 24
convert 75% to decimal number
75% is 0.75
0.75 x 24 = 18
