A long string with a balloon at the end was tied to the ground. After a breeze came up, the balloon was 55 feet to the right of where it was tied and 30 feet above the ground, as shown in the figure below. What is the slope of the line between the balloon and the point where it was tied?
Answer:
The slope is 0.55
Step-by-step explanation:
Right Triangles
The string, the ground, and the height of the balloon form a right triangle where the trigonometric ratios are satisfied.
The image below shows the geometric construction. We are required to find the slope the string forms with the ground.
It can be found by using the tangent ratio:
[tex]\displaystyle \tan\theta=\frac{y}{x}[/tex]
Substituting y=30 and x=55
[tex]\displaystyle \tan\theta=\frac{30}{55}[/tex]
[tex]\displaystyle \tan\theta=0.55[/tex]
The slope is 0.55
Find the volume of a cube with an edge length of 4 mm.
Solve: 3x – 4 = 1 – 2x *
5
1
-1
0
I need help with this
Answer:
b = -12
Step-by-step explanation:
First isolate b by subtracting 2 from both sides: b/4 = -3
then multiply both sides by 4 to find b: b = -12
Answer:
b= -12
Step-by-step explanation:
b/4 + 2 = -1
Subtract 2 from both sides
b/4 = -3
Multiply both sides by 4
b= -12
It's an inverse operation thing.
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Below is a screenshot of the problem
Answer: 128
Step-by-step explanation: 3 x -2 + 70 = 64 + -2 + 70 = 128
Mike drove 100 miles in a rental car and was charged $58.00. Jane rented the same car after Mike had rented it and was charged $65.00 for 170 miles. Write an equation to represent y, the total rental cost, in terms of x, the number of miles driven.
Answer:
y= 48 + 0.1x
x= miles driven
Step-by-step explanation:
We need to calculate the fixed and variable cost (per mile) of renting a car. To do that, we will use the high-low method:
Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)
Variable cost per unit= (65 - 58) / (170 - 100)
Variable cost per unit= $0.1 per mile
Fixed costs= Highest activity cost - (Variable cost per unit * HAU)
Fixed costs= 65 - (0.1*170)
Fixed costs= $48
Fixed costs= LAC - (Variable cost per unit* LAU)
Fixed costs= 58 - (0.1*100)
Fixed costs= $48
y= 48 + 0.1x
x= miles driven
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Explanation:
Sort the values from smallest to largest: {2, 5, 6, 10, 10}
Now cross off the first and last values to get this smaller set: {5, 6, 10}
Repeat the process one more time and we get this: {6}
This shows 6 is the middle most item of the original sorted set above. Therefore, 6 is the median.
Which answer choice shows the numbers in order from least to greatest?
A. 4.1, 4, 0, -0.5, -6/2, -10
B.-10, -6/2, -0.5, 0, 4, 4.1
C. -0.5, -6/2, -10, 0, 4, 4.1
D. -10, -0.5, -6/2, 0, 4.1, 4
find the value of x
do 5 and 7
Answer:
#5 = 14.4
#6 = 8.4
Step-by-step explanation:
15 points please help me ???? ASAP
Which function is best represented by the graph?
WHOEVER ANSWERS IT WILL GET BRAINST DUE IN 5 MINUTES!!!!!
Answer:
Its b
Step-by-step explanation:
Y=2x+3 -y=2x+1 solve the system of equations
Answer:
Point form: (-1,1)
Step-by-step explanation:
y=2x+3, -y=2x+1
Point form: (-1,1)
Equation form: x = -1, y = 1
A recipe for chicken noodle soup calls for 1 3/4 cups of chicken broth. Peggy wants to triple the recipe. How many cups of chicken broth will she need?
Step-by-step explanation:
multiply 1 3/4 by 3
7/4×3
21/3=
5 1/4
Answer:
1. Less than 3
2. 9/4
Step-by-step explanation:
What is the output of y=6x−11 when the input is 5?
The output of the equation will be 19.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given is an equation, y=6x−11
Putting x = 5
y = 6*5-11
y = 19
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Joy wants to build a rectangular garden he plans to use a side of a river from one side of the garden so he will not place fencing along the side of the garden he has 92 yards of fencing material what is the maximum area that he will be able to enclosed
Answer:
I think the greatest area is 1050 yards.
39)
Will weighs three times as much as Brenda. Together, they weigh 240
pounds. How much does each of them weigh
let
brenda: b
will: 3b
b + 3b = 240
4b = 240
b = 60 lbs (BRENDA)
3b = will
3 (60) = will
180 = WILL
The solution is
The weight of Brenda = 60 pounds
The weight of Will = 180 pounds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the weight of Brenda be = x
Let the weight of Will be = y
Now , Will weighs three times as much as Brenda
Substituting the values in the equation , we get
y = 3x be equation (1)
And , the weight of Will + weight of Brenda = 240 pounds
So , x + y = 240 be equation (2)
Substituting the value of y from equation (1) in equation (2) , we get
x + 3x = 240
On simplifying the equation , we get
4x = 240
Divide by 4 on both sides of the equation , we get
x = 60 pounds
So , the weight of Brenda is 60 pounds
Substitute the value of x in equation (1) , we get
y = 3x
y = 3 x 60
y = 180 pounds
So , the weight of Will is 180 pounds
Hence , the weight of Brenda is 60 pounds and weight of Will is 180 pounds
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Find the coordinates of quadrilateral "WXY' after a dilation with the scale factor of 2.
Original coordinates:
V(6, 2), W2,4), X-3, -2), Y(3, -5), scale factor of 2
8
W
0 -86
10
12
NEED HELP ASAP
Answer:
2,1
Step-by-step explanation:
Answer: no
Step-by-step explanation:
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Answer:
The answer is 8
Step-by-step explanation:
I need the good luck :)
What equation is a proportion?
A. 1/3 = 1/4
B. 3/4 = 6/9
C. 5/8= 20/32
D 7/9 = 21/28
Answer:
c. 5/8= 20/32
Step-by-step explanation:
because 5*4=20 and 8*4=32
Which object traveled at a faster speed?
object A: 65 miles in 13 minutes
object B: 125 miles in 25 minutes
( show your work)
plss helppp
Answer:
I believe it is object B
ten less than four times a number is 50
the equation is -----the solution is ------
Answer:
2.5
Step-by-step explanation:
50÷4-10
50=(4x)-10
Equation:
(4*n)=50
Solution:
(4*n)-10=50
(4*n)-10-10=50-10
(4*n)=40
4*10=40
n=40
For the system, what is the y-value? 1x + 3y = 10 -x + 8y = 4
y =− 11/2≈−0.181818182 is that what your looking for
A line passes through (2, 5) and (8, 10). Find the value of y if (12, y) lies on the line. correct answer gets brainliest
Answer:
[tex]y = 6[/tex]
[tex]hope \: it \: helps... \\ mark \: as \: brainliest.....[/tex]
Which is the solution for ln(3x - 5) = ln(11) + ln(2) ?
Answer:
B: x=9
Step-by-step explanation:
You have to use the property of logarithms
that says ln A + ln B = ln AB. So here we have
ln (3x - 5) = ln 11 + ln 2 = ln 22
Therefore 3x - 5 = 22, from which x = 9
draw a line representing the rise and a line representing the run of the line. State the slope of the line in simplest form
Answer:
Slope is 3/1
Rise is 3
run is 1
hope this helps
please help im crying and failin math i have a 41 f
Answer: d
Step-by-step explanation: trust me
Answer:
C) The depth the scuba diver is before he/she begins the ascent to the surface.
Step-by-step explanation:
This would be your answer because it is asking what the y-intercept of the graph represents. On the graph the y-intercept is labeled Depth(m), which represents the meters the diver assented to reach the surface from where they were originally at.
Can someone help me please!!
I AM HERE TO HELP--- nope I'm sorry
the legnth of a rectangle is 4 times the width. the primiter is 120 cm. find the width and the length of the rectangle.
