Answer:
19.24 feet
Step-by-step explanation:
The line from your feet to the pole is one side of a triangle, 17 feet long. The pole itself is another side, 9 feet long, at a 90 ° angle to the ground. So these two sides are the legs (shorter two sides) of a right triangle. The line from your feet to the top of the pole is the third side of the triangle. It is also the side opposite the 90° angle between the ground and the pole, so it is the hypotenuse of a right triangle.
Since it is a right triangle, we can use the Pythagorean Theorem:
c² = a² + b², so
'c' is the distance from your feet to the pole, the hypotenuse of the right triangle.
c² = 17² + 9² = 289 + 81 = 370
c² = 370
c = SQR ROOT OF (370)
c ≈ 19.23538406...
So, rounding to hundredths, c is approx. 19.24 feet
What is the Inverse of function ?
f() = 1 + 11
OA 1-1(x) = 105 - 11
OB. 5-1(x) =
1-1(1) =
OD. 1-1(x) = fot + 11
110
91 + 11
10
91 - 99
10
Answer:
36
Step-by-step explanation:
Write inequalities to represent the situations below.
Ryan exercises no less than 35 minutes per day. Use t to represent Ryan's amount of exercise (in minutes per day).
( ≤ < > ≥ )
Answer:
T<45
Step-by-step explanation:
More than is a greater than symbol
Inequalities help us to compare two unequal expressions. The inequality that can be used to represent the time for which Ryan exercise is t≥35.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given Ryan exercises no less than 35 minutes per day. The inequality that can be used to represent the time for which Ryan exercise is t≥35.
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Rahul visited Taj Mahal. He found that the fountains near
the entry gate are sprinkling in circles. If the area covered
by the sprinkler of two circles is in the ratio 25:36. Find the
ratio of their circumference.
Answer:
5:6.
Step-by-step explanation:
The areas are 2 dimensional and the circumference is one dimensional.
So the ratio of the circumferences is √25:√36
= 5:6.
7. The first term of a geometric sequence is 27, the last term is 8 and the sum of the
associated series is 65.
What is the common ratio and how many terms are there in the series?
Step-by-step explanation:
nddjdjdkdkfbfbnfkfkgkngnngn
Jeremiah has a mask collection of 420 masks. He keeps some in a display case and the rest on the wall. He keeps 45% of his masks in the display case. How many masks does he keep on his wall
a rabbit weighs 3 150 grams. what does the rabbit weight measured in kilograms?
Answer:
3.15 kg
Step-by-step explanation:
3150 = 3.15 kg
Answer:
3.15 kg
Step-by-step explanation:
I just took the test, hope this helped!
Write an equation of the line that passes through point P and is parallel to the line with the given equation. P(3,5); y=2x-6
Answer:
y = -(5/2)x + 3 is a line perpendicular to y = (2/5)x + 2. This line is also perpendicular to y = (2/5)x + 9 because it has the same slope.
Step-by-step explanation:
A) So the line you are given is written in slope intercept form y = mx + b meaning that the slope of the line is m = 2/5 and the intercept b = 9 (so the line hits the y axis at 0,9). A line that is parallel has to have the same slope so we know our m is the same. So we have y = (2/5)x + b. We need b. It passes (0, 2) since the x coordinate is 0 you know the y intercept is 2 but you can verify this using the point slope formula:
y - y1 = m(x - x1) plug in values
y - 2 = (2/5)(x - 0) now simplify
y - 2 = (2.5)x last solve
y = (2/5)x + 2 see how when the x coordinate is 0 you can automatically use the point slope intercept formula? Neato!
B) Now we want a line perpendicular to y = (2/5)x + 2 and that passes through 0,3. What are the properties of a line perpendicular to a line of the form y = mx + b and passes through (0, 3)? We know that the slope of this new line will be the reciprocal and have the opposite sign of m. So the new slope we will call it mnew = -(1/m) so plug in for m and you get mnew = -(1/[2/5]) if you simplify you get that the mnew = -(5/2). So we have half of our equation for the perpendicular: y = -(5/2)x + b. If you look at (0, 3) you see that the y intercept is 3 so b = 3. So:
The equation of the line that passes through given point and is parallel to the line with the given is y = 2x-1
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, we need to find the equation of a line passing through the point (3, 5) and is parallel to y = 2x-6,
Comparing the given equation with the general equation of line y = mx+c
m = 2 (the slope)
We know that the two parallel lines have equal slope.
Therefore, the required equation is =
y = 2x+c
To find the value of c, put x = 3 and y = 5,
5 = 2(3) + c
c = -1
Therefore,
The required equation is =
y = 2x-1
Hence, the equation of the line that passes through given point and is parallel to the line with the given is y = 2x-1
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The figures are similar. Find x
Answer:
[tex]x=\frac{20}{3} =6.67[/tex]
Step-by-step explanation:
[tex]x=15*\frac{4}{9}=\frac{20}{3} =6.67[/tex]
Answer:
6 2/3 or 20/3 or 6.6667
Step-by-step explanation:
Since the figures are similar, you can find x through comparing ratios. To get from 9 to 4, multiply 9 by 4/9. To find x, you must then multiply 15 by 4/9.
15 x 4/9 = 6 2/3 or 20/3 or 6.6667
A college bookstore marks up the price that it pays the publisher for a book by 35%. If the selling price of a book is $70.00, how much did the bookstore pay for this book?
Answer:
24.5
Step-by-step explanation:
70 • 0.35
24.5
Jonathan was riding his bike at 6 miles per hour and went 24 miles How long was Jonathan riding?
In Isaiah’s class, 18/24 of the students like swimming better than they like running. What is 18/24 in simplest form?
Answer:
3/4
Step-by-step explanation:
Help and explain
Don’t take points or I’ll take it back
Answer:
Since there are two angles which are equal in the triangle we can make our equation as-
2x+60=180
(180 cuz the sum of all angles in a triangle will ALWAYS be 180)
so if we solve,
2x=120
x=120/2
x=60
thus x=60
Answer
60
Explanation:
So a given shape will always have a degree of 180.
We know one of the degrees is 60, so we can subtract that to find the missing degree angles: 180 - 60 = 120
We can divide 120 by 2 to spilt that into two degrees: 120 ➗ 2 = 60
(If you have math sense, you can tell that they all have the same angle, so same angle means same degree)
Well hope ya have a great day!
What is an equivalent expression for 8(3x+2)
Answer:
8(3x+2)=24x+16.
Step-by-step explanation:
there
Answer:
24x+16
Step-by-step explanation:
Which describes the shaded portion of the figure? PLEASE HELP MEEE
Answer:
1/5=20%
Step-by-step explanation:
What is the equation of the line graphed below?
Solve for W. What does W equal?
Answer:
w=-11/6
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]-8\frac{5}{9}=4\frac{2}{3}w\\ \\ -\frac{77}{9}=w\frac{14}{3}\\ \\ w=-\frac{77}{9}\left(\frac{3}{14}\right)\\ \\ w=-\frac{11}{6}\\ \\ w=-1\frac{5}{6}[/tex]
Please can someone solve x and I need it as an improper fraction please
Answer:
x=26/7
Step-by-step explanation:
Add 5/7 to both sides. Multiply 3 and the denominator being 7 to get 21. Add the numerator of 5 to 21 to get 26. The denominator stays the same and the numerator becomes 26.
-3z-z I need help pleeeaaassseee
The radius of a circle is 5 ft. Find its area to the nearest tenth.
Asap
Answer:
A≈78.54
Step-by-step explanation:
Answer:
78.5
Step-by-step explanation:
because i said so
what is -3m2 x -5 x m2
Algebra:
E=1/2mv^2+mgh
Solve for V
Answer:
v=[tex]\sqrt{x} 2E-gh[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
v=±[tex]\sqrt{2(ME-mgh)/m}[/tex]
prorate the following expenses and find the corresponding monthly expense. Lan pays a semiannual premium of $450 for automobile insurance, a monthly premium of $135 for health insurance, and an annual premium of $300 for life insurance.
the monthly expense is ____$
Step-by-step explanation:
$135 health insurance
After you do $300÷12=25 so
$25 monthly for life insurance
after you can do $450÷6=$75
and then we add all that up
$135
$75
$25
=That will equal $235 for the monthly cost
Express 9 as a ratio of 27
Answer:
9/27 or 9 to 27
Step-by-step explanation:
What is this I’m confused and my teacher won’t help me
Answer:
I think it is a number line to help you answer the question.
Step-by-step explanation:
In order to answer it, you must find the equivalent number to the answer and that should complete it. (This is the best I can do.)
cual es el resultado de la siguiente operacion
solve each formula for the specified variable
Answer:
[tex]\frac{A-2wh}{2(w+h)}=l[/tex]
Step-by-step explanation:
We have to find the formula for the value of 'l'.
So, we will isolate 'l' on one side of the formula.
A = 2lw + 2lh + 2wh
A = 2l(w + h) + 2wh
A - 2wh = 2l(w + h) + 2wh - 2wh
A - 2wh = 2l(w + h)
[tex]\frac{A-2wh}{2(w+h)}=\frac{2l(w+h)}{2(w+h)}[/tex]
[tex]\frac{A-2wh}{2(w+h)}=l[/tex]
Therefore, formula for 'l' will be,
[tex]\frac{A-2wh}{2(w+h)}=l[/tex]
what is the other angel? help
Answer:
59.7 degrees
Step-by-step explanation:
see attached
Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?
A.) It is linear because the graph decreases over time.
B.) It is linear because there is both an independent and a dependent variable.
C.) It is nonlinear because linear functions are increasing functions.
D.) It is nonlinear because linear functions increase or decrease at the same rate.
please help meeeeee :)
Answer: d
Step-by-step explanation:
Find the value of x.
132
(5x + 7)
O A. 15
B. 45
O C. 35
O D. 25
Answer: 25
Step-by-step explanation:
I just took the test on a p e x
please help me with this math problem
Answer:
The perimeter is:
(3rd option) 2(x + y)
(5th option) 2x + 2y
The area is:
(7th option) xy
Step-by-step explanation:
Perimeter = the length (represented by y) + the width (represented by x) + length + width
Another way to state this is multiplyimg length by 2 and width by 2 and then adding them together as this equals the same outcome
Area = length (y) × width (x)