Answers
Answer:
for this problem we use the sine function
[tex] \sin(x) = \frac{opp}{hyp} \\ \sin(38 ) = \frac{x}{100} [/tex]
multiply both sides of the equation by 100
[tex]100 \sin(38) = \frac{100x}{100} [/tex]
100 cancels on the right hand side of the equation
[tex]100 \sin(38) = x \\ x = 61.566\:ft[/tex]
Related Questions
what is the justification for step 3 in the solution process
Answers
Answer:
the multiplication property of equality
Graph the linear equation 5x-4y < 20
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Answer: (See attached image file)
Step-by-step explanation:
Start by plotting given key featuresBased on the problem, we know that the x-intercept is (0,4) We find this by plugging in 0 for y, and solving for x (5x = 20)(x = 20/5 = 4) (4, 0) We can also easily solve for the y-intercept, which is (0,-5)We find this by plugging in 0 for x, and solving for y(-4y = 20)(y = -5) (0, -5) Since we know that the equation is linear, seeing as the highest exponent is 1, we know that these two points have to be connected by a single, straight line.Finally, we shade in the side to the LEFT of the line. This is because the equation asks for LESS THAN. If however the question had been 5x-4y>20, we would shade in the region to the right.
Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .
Enter your answer in the box, without spaces.
Answers
Answer:
[tex]\sf y=9x-5[/tex]
Step-by-step explanation:
[tex]\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned} [/tex]
Can someone please help me with one of these problems? If you can do both, it'd be even better. Thanks!
Answers
Answer:
4:3
Step-by-step explanation:
that means red:yellow
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What type of dilation is formed when the scale factor K is greater than one
Answers
Answer:
Enlargement
Step-by-step explanation:
When k > 1, the dilation is an enlargement. When k > 0 and k < 1, the dilation is a reduction. In a dilation, the original figure and its image are similar. The ratio of the side lengths of the image to the corresponding side lengths of the original figure is the scale factor of the dilation.
Al simplificar la expresión -3(a – b) + 5b – {2a + b + [a – 3b – (2b – a) + 5b] – a}, se obtiene:
Answers
Al simplificar la expresión-3 (a - b) + 5b - {2a + b + [a - 3b - (2b - a) + 5b] - a}, se obtiene: - (6a + 7b)
La simplificación de expresiones algebraicas requiere la eliminación de los corchetes por sus factores de multiplicación seguido de la combinación y agrupación de los términos semejantes en suma y resta.
De la información proporcionada:
= -3 (a - b) + 5b - {2a + b + [a - 3b - (2b -a) + 5b] - a}El primer paso es abrir los soportes de adentro hacia afuera.
i.e.
= -3a + 3b + 5b - {2a + b + [ a - 3b - 2b + a + 5b] - a}= - 3a + 3b + 5b - {2a + b + a - 3b - 2b + a + 5b - a}= - 3a + 3b + 5b -2a - b - a + 3b + 2b - a -5b + aAhora, el siguiente paso es la reorganización;
= - 3a - 2a - a - a + a + 3b + 5b - b + 3b + 2b - 5b= - 6a - 7b
Por factorización;
= - (6a + 7b)
Por tanto, podemos concluir que la simplificación de la expresión anterior es - (6a + 7b).
Obtenga más información sobre la expresión algebraica aquí:
https://brainly.com/question/11227332?referrer=searchResults
what is the answer to -3x + 6 = 2x - 24
Answers
-3x + 6 = 2x - 24
To FindValue of 'x' term
Solution[tex] -3x + 6 = 2x - 24 [/tex]
[Bringing 2x to left side and 6 to right side]
[tex] = > - 3x - 2x = - 24 - 6 \\ \\ = > - 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{ - 5} \\ \\ = > x = 6[/tex]
[tex] \fbox \red{Hope This Helps}[/tex]
I need help with this asap. thank u
Answers
Answer:
1/3
Step-by-step explanation:
1. When we divide any x-input by the y-input, we get 3. This is the same as multiplying the x-input by 1/3 to get the y-input. Let's see if it works!
[tex]3 * \frac{1}{3} = \frac{3}{3} = 1[/tex] [tex]6 * \frac{1}{3} = \frac{6}{3} = 2[/tex] [tex]12 * \frac{1}{3}= \frac{12}{3}=4[/tex] [tex]15*\frac{1}{3}=\frac{15}{3} =5[/tex]2. Great! All our x-inputs and y-inputs match up, meaning the constant of proportionality, k, is 1/3.
Type an equation for the
following pattern.
y=[? ]x+[ ]
Answers
To solve for the slope, choose two pairs of coordinates and substitute their values into the slope formula.
Let (x1, y1) = (1, 5)
(x2, y2) = (2, 4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 5)/(2 - 1)
m = -1/1
m = - 1
Therefore, the slope, m = -1.
For the y-intercept, choose one of the given points, and use it along with the slope to solve for the y-intercept. Using point (2, 4) and the slope, m = -1, substitute their values into the slope-intercept form:
y = mx + b
4 = -1(2) + b
4 = -2 + b
Add 2 to both sides to solve for b:
4 + 2 = -2 + 2 + b
6 = b
Therefore, the linear equation is :
y = -x + 6
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A toy store is having a sale. A video game. System has an original price of $99 it is on sale for 40% of the original price. Find the sale price of the game system. Round to the nearest cent
Answers
Answer:
The answer is 59.40
Step-by-step explanation:
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Answers
Answer:
ouuu noice king of spades
Answer:
♀️♀️
Step-by-step explanation:
bahahaha
How many liters of a 50% acid solution must be mixed with a 30% acid solution to get 180 L of a 40% acid solution?
Answers
Answer:
ninety liters
Step-by-step explanation:
Ninety liters of the 50% acid solution have to be mixed with 90 liters of the 30% solution to yield 180 liters of 40% solution.
Evaluate the expression when a=-7 and b=5.
-8b+a
Answers
Answer:
-47
Step-by-step explanation:
-8(5)+-7
= -40 -7 (+ gets elimanated by the -)
= -47
Find the measure of the marked angles.
The measure of the angles is
___ degrees
Answers
Answer:
43°
(4x + 19)° = (6x + 7)° [vertically opposite angles are equal]
4x+19 = 6x+7
4x + 19 -7 = 6x
4x +12 = 6x
12 = 6x - 4x
12 = 2x
2x = 12
x = 12/2
x = 6
Now replace the x with 6
(4x+19)°
= (4×6+19)°
= (24+19)°
= 43°
(6x+7)°
= (6×6+7)°
= (36+7)°
= 43°
The measure of the angles is 43 degrees
Answer 6-7 thanks!!!!
Answers
The area of the rectangle is (18r - 12) square inches. Write an expression that represents the length of the rectangle (in inches).
Answers
Answer:
L = (18r - 12)/W
Step-by-step explanation:
A = L * W
18r - 12 = L * W
(18r - 12) = L * W
(18r - 12)/W = L
A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?
Answers
Answer:
y = 10/9x + 9
Step-by-step explanation:
To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).
Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Let (x1, y1) = (0, 9)
and (x2, y2) = (9, 19)
Substitute these values on the formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}[/tex]
Therefore, the slope (m ) = 10/9.
Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b ). It is also the value of the y when x = 0.
One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.
Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9
I need help What is 2x+3y+z
Answers
Answer:
2x+3y+z
Step-by-step explanation:
There are no like terms. This equation cannot be simplified.
Jamie saw 12 ducks on the lake. When Jamie said that 1/2 of the ducks swam away, how many ducks was that?
a) 8
b) 4
c)6
Answers
12 divided my 2 is 6
or 6 + 6 is 12.
Hope this helps
Your friend calculates the distance between points Q(1,5) and R(3,8), as shown below. What is his error?
Answers
The distance between two points is the number of units between them.
The distance between Q and R is 3.61 units
It is impossible to determine your friend's error, because the steps are not given in the question. So, I will calculate the distance between Q and R, instead.
The distance (d) between two points is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, the distance QR is:
[tex]QR = \sqrt{(1 - 3)^2 + (5 - 8)^2}[/tex]
[tex]QR = \sqrt{(- 2)^2 + (- 3)^2}[/tex]
Evaluate exponents
[tex]QR = \sqrt{4 +9}[/tex]
[tex]QR = \sqrt{13}[/tex]
Take square root of 13
[tex]QR = 3.61[/tex]
Hence, the distance between Q and R is 3.61 units
Read more about distance at:
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Write the equation in slope intercept form. what are the slope and y-intercept? -3x - 10y = 7
Answers
Answer:
Slope: = 3/10x
y-intercept: = -7/10
Step-by-step explanation:
10y = -3x - 7
y = -3/10x - 7/10
Slope: = 3/10x
y-intercept: = -7/10
Jose needs 6.2 lb of organic blueberries to make smoothies. Organic blueberries are on sale for $2.85 per pound. Jose estimates that he will need $12 to buy the 6.2 lb of blueberries. What is Jose’s error?
1. Jose did not make an error. His estimate of $12 is correct.
2. Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.
3. Jose incorrectly rounded 6.2 up to 7.
4. Jose incorrectly multiplied 2 and 7. The estimate should be $14.
Answers
Answer:
B
Step-by-step explanation:
I needhelp with this math assignment
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Find the difference.
10 - (-2)
Answers
Step-by-step explanation:
10-(-2) = 10+2 = 12.
hope this helps you.
Hello there!
10-(-2)=10+2=12
Hope this helps you!
#HaveAnAmazingDay
[tex]GraceRosalia\\***************************************[/tex]
Comment:
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Enter the ordered pair for the vertices for r (90°, 0)(QRST).
Answers
Answer:
below
Step-by-step explanation:
I didn't see the picture you try to post... but, the formula for rotation counterclockwise 90° is (x,y) original -> (-y,x) rotated
For rotation clockwise 90°: (x,y) -> (y,-x)
how do i get the answer?
Answers
Answer:
37
Step-by-step explanation:
3 to the 3rd power is 3x3x3=27, (-5x-2)=10 because two negatives cancel each other out and make a positive, add 27 and 10 and that equals 37. Hope this helps :)
Jane started jogging home from 5 miles away, at a rate of 2 mph. Which equation in slope-intercept form represents Jane's distance from home?
Answers
Answer:
10 miles
Step-by-step explanation:
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
a = 26.241
b = 47.448
Step-by-step explanation:
jay decided to go parachuting. Her elevation drops by -80 feet in 8 seconds. How far is she dropping each second
Answers
6 cups is how many times as much as 24 cups? ~ In a fraction ~
Answers
Answer:
1/4
Step-by-step explanation:
6/24 = 1/4