Answer:
a = -1
b = 6
Step-by-step explanation:
a = -b + 5
2b + a = 11
2b + a = 11
2b + (-b + 5) = 11
2b - b + 5 = 11
b + 5 = 11
b = 11 - 5
b = 6
2b + a = 11
2(6) + a = 11
12 + a = 11
a = 11 - 12
a = -1
A pilot is traveling at a height of 30,000 feet above level ground. She looks down at
an angle of depression of 6° and spots the runway. As measured along the ground, how
many miles away is she from the runway? Round to the nearest tenth of a mile.
Answer:
540.6 mi
Step-by-step explanation:
The angle of depression = angle of elevation = 6°
Let x = the distance to the runway.
tan 6 = 30000/x
xtan 6 = 30000
x = 30000/tan 6 =285430.9 ft
285430.9336.../5280 = 540.6 mi
A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression then she is 540.6 miles away from the runway.
What is meant by angle of depression?A depression angle is formed when the viewer is higher than the object they are looking at. When a viewer looks at an object at a closer distance than themselves, an angle is formed under the horizontal line drawn at the viewer's eye level and the line connecting the object to the viewer's eye.
Elevation angle is the angle formed when a person stands on the ground and looks at an object above the ground at a height above the person's height. This is the basic difference between the two angles. Both angles are calculated using trigonometry concepts.
The angle of depression is defined as the angle formed by the horizon and the line connecting the object to the viewer's eye. This angle depends on two factors: altitude and distance.
Given: A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression.
The angle of depression = angle of elevation = 6°
Let x be the distance to the runway.
tan 6 = 30000/x
simplifying the above equation, we get
x tan 6 = 30000
x = 30000/tan 6 = 285430.9 ft
285430.9336/5280 = 540.6 mi
She is 540.6 mi away from the runway.
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The diagram shows a 6 ft student standing near a tree. The shadow of the student and the shadow of the tree ends at point A. What is the height of the tree?
Answer: 18ft
Step-by-step explanation: I took the quiz and got 100%
The height of the tree is 8.3 ft.
To solve this problem, we have to find the angle of elevation from the student.
To do this, we have to assume or bring out a right angle triangle and solve for the.
Given that we have the distance of A to F and the point to F
A to F = 5ftE to F = 6angle ?Trigonometric RatioUsing trigonometric ratio,
We can find the tangent of this angle
[tex]tan\theta = \frac{opposite}{adjacent} \\tan\theta = \frac{6}{5}\\ tan \theta = 1.2\\\theta = tan^-^1(1.2)\\\theta = 50.2^0[/tex]
The angle of elevation can be calculated using sum of angles in a triangle is equal to 180 degrees
[tex]180 = 90 + 50.2 + x\\x = 180- 140.2\\x = 39.8^0[/tex]
Assuming a right angle triangle from the point the student is standing, the distance from him to the tree would be
[tex]15 - 5 = 10ft[/tex]
Let's use the tangent of the angle to find the height of the tree.
[tex]tan\theta = \frac{opposite}{adjacent} \\tan 39.8 = \frac{x}{10}\\x = 10 tan39.8\\x = 8.3ft[/tex]
From the calculations above, the height of the tree is 8.3 ft.
Learn more on trigonometric ratio here;
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Rewrite the radical expression as a rational exponent.
Please help!!!
Answer:
C
Step-by-step explanation:
You can think of the square root as [tex]\frac{1}{2}[/tex] which would multiply throughout producing the answer.
pls help:) 33 points:))
Jada has a monthly budget for her cell phone bill. Last month she spent 140% of her budget, and the bill was $80.
What is Jada's monthly budget?
Evaluate the expression for j = 4.
20 − 2j =
Find the slope of the line through the given pair of points.
(-11,-4).(-6,5)
✍️
The answer is ✊✌️I forgot the answer but hanks for the points
the exponent form of 3 under root 7
Answer: 3[tex]\sqrt{x} 7[/tex]
Step-by-step explanation:
3 under root 7
[tex] \sf {3{\sqrt{7}}} \\\\ \implies \sf{3.7^{\dfrac{1}{2}}} \\\\ \implies \sf{ (3^2)^{\dfrac{1}{2}}} \times 7^{\dfrac{1}{2}} \\\\ \implies \sf{ (9\times7)^{\dfrac{1}{2}}} \\\\ \implies \sf{63^{\dfrac{1}{2}}} [/tex]
what is the equation of the line with a slope of -3/4 that passes through the point (4,-2)?
Answer:
y=-3/4x+1
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-3/4(x-4)
y+2=-3/4(x-4)
y=-3/4x+12/4-2
y=-3/4x+3-2
y=-3/4x+1
Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x))
Answer:
f(h(x)) = 2x - 4
Step-by-step explanation:
To find the rule for f(h(x)), substitute h(x) = 2x + 3 into f(x) = x - 7:
f( ) = ( ) - 7 becomes
f(h(x)) = (2x + 3) - 7, or 2x + 3 - 7, or f(h(x)) = 2x - 4
Jason,Jennifer, Josh, and Jill went to a toy store. Jason spent $11.02. Jennifer spent $10.20. Josh spent 12.75. Jill spent 12.80. Which list shows the amounts spent in order from greatest to least
Answer:
(from greatest to least)
Jill (12.80) , Josh (12.75) , Jason ( 11.02) , Jennifer (10.20)
Step-by-step explanation:
Jason = 11.02
Jen = 10.20
Josh = 12.75
Jill = 12.80
Least = Jennifer
Greatest = Jill
Jill (12.80) , Josh (12.75) , Jason ( 11.02) , Jennifer (10.20)
Answer: Jill (12.80), Josh (12.75), Jason (11.02), and then Jennifer (10.20)
Step-by-step explanation: Amounts of money spent from greatest to least!
The ratio table shows the costs for different lengths of silver chain. Find the unit rate in dollars per inch
Length (inches) 16 18 20 22
Cost (dollars) $36.00 $40.50 $45.00 $49.50
The unit rate is $__ per inch.
Answer:
2.25
Step-by-step explanation:
yes
The unit rate of the silver chain is $0.44 per inch.
What is the unit rate?Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.
Given here: 16 inches of silver chain costs $36 and 18 inches cost $40.50
Thus we have the unit rate( dollar/inch) =36/16=40.50/18=4/9
Therefore the unit rate is given by 4/9 or 0.444 dollar per inch.
Hence, The unit rate of the silver chain is $0.44 per inch.
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Simplify the expression (5/3)^3
Answer:
4 17/27
Step-by-step explanation:
Answer:
5 ÷ 3 = 1.66666666667 x 3= 5.00000000001
of 5/3 (five thirds) x 3 = 5
I wasn't sure if the first digits were fractions or a division expression
Simplify
[-2(g + 2h) - 4g21 - [-g(5 - 2g) + h]
Identify the angles of elevation and angles of depression
Answer:
1 is depression
2 is elevation
3 is depression
4 is elevation
Step-by-step explanation:
If a=-3, b=6, C=-5, what is the vertex?
Answer:
use the formula a(x-h)2+k
Evaluate 641/2 x
10-2
Give your answer as a fraction in its simplest form
Answer: 641/2x 10-2 it is 3203
Step-by-step explanation:
Members of a lacrosse team raised $1878.50 to go to a tournament. They rented a bus for $1075.50 and budgeted $73 per player for meals. Determine the number of players the team can bring to the tournament.
Answer:
Step-by-step explanation:
11
anyone? match need it in a rush
Answer:
U can transform it byStep-by-step explanation:
4w-3(-5z+2w)-2z
-3(w+6)+5w
simplify PLEZEZEZEZE I NEED THIS ASAP PLZZZZZ I WILL FAILL IF I DONT GET THIS RIGHT plz dont give me wrong answer :( plz helpppppppppppppppppppp
Before the celebration for
Groundhog Doy, the city
set up on hexogonal
barner around the park. If
each side of the barrier
was 145 yards long, how
mony feet of fencing were
used to create the barrier?
Answer:
Doin it for the bag!!
Marsha swam 400 meters in 6 minutes and 12 seconds. Convert that time to minutes
Answer 6.2 minutes
Step-by-step explanation:
convert it into a decimal
HELP :( DO IT FOR FWENCH FWY PWESSSSSSSSSSSSS
Answer:
I'm just answering for the points bc my other acc is gone
Step-by-step explanation:
Is 84 / 56 = 16 / 9 proportional
Answer:
No
Step-by-step explanation:
84/56=1.5
16/9=1.78
Answer:
no
Step-by-step explanation:
its not
A cookie recipe requires 2 pounds of butter to make 18 dozen cookies. If a baker wants to make only 3 dozen cookies, which proportion can he use to find b, the number of pounds of butter he needs.
2/18 = b3
5/18 = b3
2/18 = 3b
3/18 = 2b
Clive draws △MNR, with MN = 2 cm, NR = 4 cm, and RM = 3 cm. Which triangle represents Clive's triangle?
Answer:
Scalene Triangle
Step-by-step explanation:
We are told that he drew a triangle MNR. Now, the sides are given as;
MN = 2 cm
NR = 4 cm
RM = 3 cm
This means that the 3 sides are not equal. And a triangle with it's 3 sides being unequal is called a scale me triangle.
Answer:
Scalene Triangle
Step-by-step explanation:
We are told that he drew a triangle MNR. Now, the sides are given as;
MN = 2 cm
NR = 4 cm
RM = 3 cm
This means that the 3 sides are not equal. And a triangle with it's 3 sides being unequal is called a scale me triangle.
Which equation represents the solution of the equation 6x – 18 = 30?
Answer:
x=8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x-18-(30)=0
STEP 1:
Pulling out like terms
Pull out like factors :
6x - 48 = 6 • (x - 8)
STEP 2:
Equations that are never true:
Solve: 6=0
This equation has no solution.
Solving a Single Variable Equation:
Solve : x-8 = 0
Add 8 to both sides of the equation :
x = 8
How many 1\8 teaspoons are equal to 4 3\4 teaspoons.
A. 18
B. 12
C. 1 7\12
D. 1 1\24
Answer:
a
Step-by-step explanation:
Answer:
24 1/8 teaspoons are equ to 4 3/4 teaspoons
I need to answer these questions ASAP! Will give brainiest and helpful!
8) Write the unit rate of $7.35 for 5 ¼
ounces.
9) Fresh grapes cost $ 15.70 for 5
pounds. What does 1-pound cost?
10) If the total cost (t) is $535 for 20
calculators (c). What would the
equation look like
and what is the constant of
proportionality (K)?
Javier is buying fencing to surround his garden. If his garden has a perimeter of 30 yards, and fencing costs $6.00 a yard, how much money will he need for the fencing?
$180
Step-by-step explanation:
30 x 6 = 180
Answer:
180 it is basic multiplication
Step-by-step explanation:
