Answer:
1179 yards
Step-by-step explanation:
The question can be described by a right angled triangle.
The angle of depression of the boat from the plane = [tex]90^{o}[/tex] - 58˚
= [tex]32^{o}[/tex]
Let the distance from the plane to the boat be represented by x.
Thus, applying the appropriate trigonometric function, we have;
Cos θ = [tex]\frac{Adjacent}{Hypotenuse}[/tex]
Cos [tex]32^{o}[/tex] = [tex]\frac{1000}{x}[/tex]
x = [tex]\frac{1000}{Cos 32^{o} }[/tex]
= [tex]\frac{1000}{0.8481}[/tex]
= 1179.11
x = 1179 yds
The plane should be 1179 yards away from the boat.
The smiths previously lived in a house that had 1450 sq ft of space. The sq ft of their new home is 3800 sq ft. What is the percent increase of their living space?
Answer:
162.1%
Step-by-step explanation:
Given that:
Size of previous living space = 1450 sq ft
Size of new living space = 3800 sq ft
% increase in living space ;
Increase in living space = 3800 - 1450 = 2350 sq feet
(Increase / previous size) * 100%
(2350 / 1450) * 100%
1.6206 * 100%
= 162.06%
= 162.1%
A banker earns a $75,000 annual salary, a 2,35% commission on any approved loans for the bank’s business customers, and a fee of $3.75 for each application processed. If the banker has a total of 2.8 million in approved business loans and processes 2,750 applications this year, what are the banker’s earnings rounded to the nearest dollar ??
Answer:
Amount earned = $151,113
Step-by-step explanation:
Here, we are interested in calculating the banker’s earnings rounded to the nearest dollar;
We proceed as follows; we have the following;
1. Annual salary of $75,000
2. 2.35% on approved loans.
Approved loans = 2.8 million
Commission = 2.35/100 * 2.8 million = $65,800
3. $3.75 for each processed loan application
Total = 2750
Amount = 3.75 * 2750 = $10,312.50
Total amount earned is thus;
$75,000 + $65,800 + $10,312.50 = 151,112.5 = 151,113 to the nearest dollar
Write an equation for the line?
Answer:
y = 2x + 3
Step-by-step explanation:
Given:
(2, 7) and (0, 3)
Find the slope between the two points:
(x1, y1) = (0, 3)
(x2, y2) = (2, 7)
(y2 - y1)/(x2 - x1)
(7 - 3)/(2 - 0)
4/2 = 2
m = 2
y = mx + a
y = 2x + a
Use one of the two points to find a (I will use point (2, 7):
7 = 2(2) + a
7 = 4 + a
a = 3
Slope-intercept Form: y = 2x + 3
Point-slope Form: y - 3 = 2x
Point-slope Form: y - 7 = 2(x - 2)
General equation: 2x - y + 3 = 0
Joshua ran 1.45 miles, and Jasmine ran 1.5 miles who Ran Farther?
Answer:
Jasmine
Step-by-step explanation:
Carly has some rope to mark off a rectangular area of grass for a field day game. The rectangle needs to be 6 feet wide. Which expression represents how much rope Carly needs if the rectangle is g feet long?
Answer:
B ) 2 g + 12
Step-by-step explanation:
The subject of the formula below is y
y=4x+3
Rearrange the formula to make x the subject
Answer:
x = (y - 3)/4.
Step-by-step explanation:
y = 4x + 3
y - 3 = 4x
x = (y - 3)/4.
Step-by-step explanation:
y=4x+3
all divide by 3
4x=y/3
cross multiple
12x=y
divide both sides by 12
therefore, x is equal to y/12
Triangle ABC has vertices at A (1,-3), B (3,0)x and C (5,-3). What is the distance from vertex B to the midpoint of AC?
Answer:
The distance from vertex B to the midpoint of AC is 3 units
Step-by-step explanation:
we are given a triangle with vertices A (1,-3), B (3,0) and C (5,-3).
Mid point of of AC (x,y) = ( 1+5/2 , -3 -3/2)
= ( 6/2 , -6/2)
= (3 , -3)
Distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
= [tex]\sqrt{(3-3)^2 + (0 + 3) ^2}[/tex]
= [tex]\sqrt{(3)^2}[/tex]
= 3 units
Which is NOT true?
A. 16 + 3 = 11 + 8
B. 16 = 16
C. 16 - 4 = 7 + 6
D. 16 = 19 - 3
Answer:
c
Step-by-step explanation:
16-4=12
7+6=11
The false statement is;
C. 16 - 4 = 7 + 6
Given that;
The mathematical expression is;
A. 16 + 3 = 11 + 8
B. 16 = 16
C. 16 - 4 = 7 + 6
D. 16 = 19 - 3
We have to state the false statement.
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The mathematical expression is;
A. 16 + 3 = 11 + 8
Left hand side,
16 + 3 = 19
Right hand side,
11 + 8 = 9
Left hand side = Right hand side
Hence, This is true.
B. 16 = 16
Left hand side = Right hand side
Hence, This is true.
C. 16 - 4 = 7 + 6
Left hand side;
16 - 4 = 12
Right hand side,
7 + 6 = 13
Hence, This is false.
D. 16 = 19 - 3
Left hand side;
16
Right hand side,
19 - 3 = 16
Left hand side = Right hand side
Hence, This is true.
Therefore, The false statement is;
C. 16 - 4 = 7 + 6
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from the diagram, identify a pair of corresponding angles
i need helppp!
Answer:
2 and 6, 1 and 5
Step-by-step explanation:
Answer:
1&5
Step-by-step explanation:
A teacher is buying bags of chips for a grade-level picnic. The teacher wants to spend at most $36 on chips.Each bag of costs 2.95.
Which inequality represents the number of bags of chips,x, the teacher can purchase?
An inequality that represents the number of bags of chips, x, the teacher can purchase is [tex]2.95x \leq 36[/tex].
Let the number of bags of chips be x.Given the following data:
Total amount spent = $36Cost of each bag of chips = $2.95To write an inequality that represents the number of bags of chips, x, the teacher can purchase:
In this exercise, you're required to write a mathematical expression to represent the total number of bags of chips (x) that a teacher can purchase without exceeding his or her budget of $36.
Translating the word problem into an algebraic expression, we have;
[tex]2.95x \leq 36[/tex]
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You are riding your scooter to a town that is 120 miles away and you can maintain a speed of 30 mph. How long will it take you?
Answer:
4 hours
Step-by-step explanation:
120 ÷ 30 = 4
Hope this helps. Pls give brainliest.
Solve for y, Angle Q and Angle S
Answer:
hope
Step-by-step explanation:
Given the two points (0,4) and (2, 6), what would the numerator of the equation for slope be?
2 - 0
6 - 2
2 - 4
6 - 4
Answer:
6-4
Step-by-step explanation:
You got the 6 from the (2, 6) and you got the 4 from the (0, 4). The numerator is always (I think) the second number.
Hope this helps!!
so ive been trying to figure this out but i cant!
Answer:
This is a linear graph.
Step-by-step explanation:
Since the x values increase at a constant of 1. The y-values have a 1st difference of -4 which means the graph is linear.
what is 0.3 + 0.27 is it 30?
Answer:
0.3+0.27=0.57
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
0.3-0.27=0.57
hope this helps :3
if it did pls mark brainliest
Your car has 10 gallons of gas. You use 1 gallon every 20 miles you travel. Fill in the table.
Answer:
(0, 0), (20, 1), (40, 2), (60, 3), (80, 4)
Step-by-step explanation:
A plane is traveling at a constant speed of K miles per hour. Which coordinate is
represented on the graph?
A. 1,K
B. K,K
C. K,1
Brainly
Answer:
Option (A)
Step-by-step explanation:
Plane is travelling at a constant speed = K miles per hour
K = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
Distance = k(Time)
For Time of traveling = 1 hour
Distance traveled = k × 1
= k miles
Therefore, k miles will be traveled in one 1 hour and ordered pairs of the given point on the line will be (1, k)
Option (A) will be the correct option.
Find the slope of the line.
y = 3/4x + 207
Will mark brainliest to answer with explanation
In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?
4 + 3p ≤ 40
4 + 3p ≥ 40
4p + 3 ≥ 40
4p + 3 ≤ 40
Answer:
4 + 3p ≥ 40
Step-by-step explanation:
4 points in the first round plus 3p (identical scores) has to be at least 40 points or higher to move on.
3x^2−18x+12=0 by completing the square
Answer:
mark me brailist if it helped
what is the number if 50% of 25% of the number is 96
Let n = the number we need to find.
0.50(0.25)n = 96
0.125n = 96
Can you finish?
The number if 50% of 25% of the number is 96 is 768
Let the unknown number be x
50% of 25% of the number is expressed as 0.5(0.25)x
0.5(0.25)x = 0.125x
Equating the result to 96 will give;
0.125x = 96
Divide both sides by 0.125
0.125x/0.125 = 96/0.125
x = 96/0.125
x = 768
Hence the number if 50% of 25% of the number is 96 is 768
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eeeeeeeeeeeeeeeeeeeeeeeeeva fast answer
Answer:
51
Step-by-step explanation:
find the percent for each (34 and 33) subtract from their whole (220 and 170) then subtract from each other
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Is there anything needed for this question? I'm not willing to take "free points"
podem me ajudar é urgenteeeee
Resolva o sistema 3x + y = 3 e 3x + 4y = 30. O valor de y é igual a:
a)9
b)3
c)2
d)1
03. Se x = 5y e x + 3y = 16, qual o valor da variável y:
a)1
b)2
c)3
d)4
Answer:vTerm of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.
this is true because the explanation gives us an answer as long
Step-by-step explanation: Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.
Whats the answer for number 3?
Answer:
B. There are no discounts or charges per month.
Step-by-step explanation:
Hope this helps. Pls give brainliest.
help me!!! its geometry.. plz help and thank you!!
Answer:
1. m<1 + <2 = m<4; given
2. m<3 + m<4 = 180; linear pair postulate
3. m<1 +m<2 + m<3 = 180; substitution property
1. <1 is congruent to <4; given
2. <1 is congruent to <2, <3 is congruent to <4; vertical angle congruency theorem
3. <2 has to be congruent to <3; transitive property
Step-by-step explanation:
The fourth graders are going on a field trip to the Zoo. There are 83 students in the fourth grade. If tickets cost $26 each, how much will the field trip cost?
Answer:
Total trip cost = $2,158
Step-by-step explanation:
Given:
Cost of each ticket = $26
Number of student = 83
Find:
Total trip cost
Computation:
Total trip cost = Cost of each ticket x Number of student
Total trip cost = $26 x 83
Total trip cost = $2,158
Whats the answer to number 9?
Answer:
B and D
Step-by-step explanation:
Because only those two equations on the graphs are straight. and are increasing or decreasing in a constant pace.
FRER POINTS ANSWR NOW........
Answer:
Hey I’m early and actually get points
Step-by-step explanation:
Jenna is putting a ribbon around the border of a square frame. The area of the frame is 196 square inches. How long will the ribbon need to be in order to go around the whole frame?
Answer: 56 inches
Step-by-step explanation:
Given that:
Area of square frame = 196 in²
Area of a square = a²
Where a = side length
Hence side length (a) of the square :
a² = 196
a = √196
a = 14
To find the length of the ribbon required :
Find the perimeter of the square :
Perimeter of a square = 4a
= 4 * 14
= 56 inches