If the diagonal distance covered by the stairs pictured is 25 feet, and the horizontal distance is 15 feet, what is the height of the stairs? Round your answer to the nearest foot if necessary
25 feet
22 feet
400 feet
20 feet
Answers
Answer: 20 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the diagonal distance covered by the stairs) and a (horizontal distance) and b (vertical distance) are the other sides.
Replacing with the values given:
25^2 = 15^2 + b^2
625 = 225 + b^2
625-225 = b^2
400= b^2
√400 =b
b =20 feet
Feel free to ask for more if needed or if you did not understand something.
Answer: 20 feet
Step-by-step explanation:
From the question, the diagonal distance covered by the stairs is 25 feet, and the horizontal distance is 15 feet. To calculate the height of the stairs, we will use the Pythagoras rule
The square of the diagonal will be equal to the addition of the square of the horizontal distance and the square of the height. This will be:
25² = 15² + height²
height² = 25² - 15²
height² = 625 - 225
height² = 400
height = ✓400
height = 20 feet
The height of the stairs is 20 feet
Related Questions
The random numbers below represent 15 trials of a basketball simulation conducted using a spinner numbered 0–8. 76645, 46757, 28334, 81357, 52453, 21761, 51537, 62385, 62135, 16687, 41662, 27135, 45445, 33858, 86427 Let the number 1 represent a 3-point basket and the numbers 2–8 represent 2-point baskets. Based on the simulation, what is the probability that at least one of the next 5 baskets made by the team is a 3-pointer? A. 6/15 B. 8/15 C. 5/15 D. 7/15
Answers
Answer: Option D.
Step-by-step explanation:
Out of the 15 simulations, the number with a 1 in them is 7. (are the sets of 5 shots that have at least one 3-pointer)
So out of 15 sets, 7 of them have at least one 3-point in them.
the experimental probability is p = 7/15.
So the correct option is D.
Evaluate this expression
Answers
Answer:
0
Step-by-step explanation:
2(a+3)/b
Let a=-3 and b=2
2(-3+3) / 2
2(0)/2
0/2
0
Answer:
0
Step-by-step explanation:
We are given the expression:
2(a+3)/b
We know that a= -3 and b=2. Therefore, we can substitute -3 in for a and 2 in for b.
2(-3+3)/2
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, Subtraction.
Solve inside the parentheses first. Add -3 and 3.
2(0)/2
Multiply 2 and 0.
0/2
Divide 0 by 2
0
(x³-4x²+7x-5)+(13x-15x²+x³)
Answers
Answer:
2x^3−19x^2+20x−5
Step-by-step explanation:
combine the x's and numbers, when fully simplified:
2x^3−19x^2+20x−5
Answer:
[tex]\sf 2x^3-19x^2+20x-5[/tex]Step-by-step explanation:
[tex]\sf\left(x^3-4x^2+7x-5\right)+\left(13x-15x^2+x^3\right)[/tex]
[tex]\sf x^3-4x^2+7x-5+13x-15x^2+x^3[/tex]
[tex]\sf x^3+x^3-4x^2-15x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-4x^2-15x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-19x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-19x^2+20x-5[/tex]
What value of x will make the triangles similar by the sss similarity theorem?
Answers
21/x = 3/4
x = 28
Answer:
28
Step-by-step explanation:
if y=-4+11 and 3x+y=9 what is the value of y
Answers
[tex]y=-4+11=7\\y=7\\3x+7=9\\x=2/3[/tex]
I need help with finding the sum of (x^4 + 2x^3 - 7x - 9) + (x^5 - 2x^4 + 8x + 18) in standerd form
my answer is x^5 - x^4 + 2x^3 + x^2 + 9
is this correct
Answers
Answer:
Step-by-step explanation:
(x^4 + 2x^3 - 7x - 9) +
(x^5 - 2x^4 + 8x + 18)
x^5 - x^4 + 2x^3 + x + 9
QUESTION 3 (3 points)
Convert the following quadratic into standard form. Show all work.
f(x) = 3(x - 5)² - 40
Answers
Answer:
3x^2- 30x+35=f(x)
Step-by-step explanation:
3(x^2+25-10x)-40
3x^2+75-30x-40
3x^2- 30x+35=f(x)
In Circle S with MRST=118 and RS=8 units, find the length of arc RT. Round to the nearest hundredth
Answers
Answer:
RT ≈ 16.48 units
Step-by-step explanation:
The measure of arc RT is calculated as
RT = circumference of circle × fraction of circle
= 2πr × [tex]\frac{118}{360}[/tex]
= 2π × 8 × [tex]\frac{118}{360}[/tex]
= 16π × [tex]\frac{118}{360}[/tex] ≈ 16.48 ( to the nearest hundredth )
The length of the arc RT is 8.23 units.
What are the properties of an arc?The characteristics of a circle's arc are:
Measured in linear measures like centimetres, inches, or metres, the arc length is the distance along the arc. It is proportionate to the angle that the arc and circle's centre make.The arc measure, which is expressed in degrees or radians, is the magnitude of the angle that is produced between the centre of the circle and the arc. It varies in accordance with the arc length.Since angle RST is 118 degrees, it subtends 118/360 = 0.3278 (rounded to four decimal places) of the full circumference of the circle. Therefore, the length of arc RT is:
length of arc RT = (0.3278) * (2 * π * radius)
where the radius is half the length of RS. Since RS is given as 8 units, the radius is 4 units. Substituting this into the formula, we get:
length of arc RT = (0.3278) * (2 * π* 4) = 2.0684 * π
Rounding to the nearest hundredth, we get:
length of arc RT ≈ 8.23 units.
Learn more about arc here:
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Any ratio can be written as a complex ratio. Any ratio can be written as a
complex ratio. *
O True
O False
Answers
The given statement that any ratio can be written as a complex ratio is;
Option A; True.
A complex ratio is simple defined as a ratio to a ratio.For example if the numerator is a ratio/fraction and the denominator is also a ratio or fraction. Such as; (3/4)/(5/8), (2/3)/(4/5) e.t.c.
Now, let us say we have a simple ratio like 7/8. Now we can also express this as a complex ratio because;7 is same as 14/2
Also, 8 is the same as 24/3.
Thus, we can write that; 7/8 = (14/2)/(24/3)
From the example of converting a simple ratio to a complex one, we can see that any ratio can be converted to a complex ratio.Read more at; https://brainly.com/question/9280099
During a football game, a quarterback decides to run the ball 45 yards to score a touchdown. How many feet did
he run to score the touchdown? (round to whole number)
Answers
Answer:
135
Step-by-step explanation: 45 times 3
Answer:
135 feet
Step-by-step explanation:
a yard is a little more than a foot and we just round to
1 yard = 3feet so 45*3 is 135 feet
If a large tree is 22 feet tall and a smaller tree is 3/4 of the larger tree's height, then how tall is the
smaller tree?
Answers
Answer:It should be 16.5 or 16 1/2.
Step-by-step explanation:
22•3/4
What are the solutions of x4 + 6X-6= 10?
Answers
Answer:
x = 1.6
Step-by-step explanation:
4x + 6x - 6 = 10
10x - 6 = 10
+6 +6
10x = 16
10x/10 = 16/10
x = 1.6
A linear function has a graph in the shape of a 1____. A non-linear function 2_____ have the same value added to or subtracted from the dependent variable.
1. A. U
B. S
C. Line
2. A. Does
B. Does not
Answers
Answer :
A linear function has a graph in the shape of a line
A non-linear function does not have the same value added to or subtracted from the dependent variable
Step-by-step explanation:
A linear function is any function that graphs to a straight line.
So, The shape of linear graph is straight line .
1) A linear function has a graph in the shape of a ____
Answer : C . Line
Thus A linear function has a graph in the shape of a line
A nonlinear function is a function that is not linear. That is, for a fixed change in the independent variable, there is NOT a corresponding fixed change in the dependent variable
Non-linear means the graph is not a straight line. The graph of a non-linear function is a curved line.
2) A non-linear function 2_____ have the same value added to or subtracted from the dependent variable
Answer B : Does not
Thus A non-linear function does not have the same value added to or subtracted from the dependent variable
An equation of the circle whose center is the origin and
which passes through the point (3,0) is
A (x – 3)2 + y2 = 9
B (x – 3)2 + y2 = 3
© x2 + y2 = 9
O x + y2 = 3
Answers
Answer:
[tex]\fbox{\begin{minipage}{10em}Option C is correct\end{minipage}}[/tex]
Explanation:
A circle whose center is [tex](a, b)[/tex] and radius [tex]r[/tex], has equation:
[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex]
The center of circle is given as origin [tex](0, 0)[/tex], therefore:
[tex]a = 0\\b = 0[/tex]
This circle passes [tex](3, 0)[/tex], then the radius of circle is the distance [tex](d)[/tex] between origin [tex](0, 0)[/tex] and [tex](3, 0)[/tex]
[tex]d = \sqrt{(0 - 3)^{2} + (0 - 0)^{2} } = \sqrt{3^{2} } = 3[/tex]
=> [tex]r = d = 3[/tex]
Substitute [tex]a[/tex], [tex]b[/tex], and [tex]r[/tex] back into original equation:
[tex](x - 0)^{2} + (y - 0)^{2} = 3^{2}[/tex]
or
[tex]x^{2} + y^{2} = 9[/tex]
Hope this helps!
:)
y =6x— 11
— 2x — Зу = -7
Solve the systems of equation by substitution
Answers
Step-by-step explanation:
substitute the value of y in terms of x
-2x - 3(6x-11)= -7
-2x - 18x+ 33=-7
-20x= -40
x = -40/-20
x= 2
substitute x=2 in first equation
y= 12-11
y= 1
Answer:
D (2, 1)
Step-by-step explanation:
on edge (wait just realized the other answer is correct, i thought this said smth different that was on edge)
The value of x in 3(x+5)=12
Answers
Answer:
x=-1
Step-by-step explanation:
3(x+5)=12
Step 1: Simplify both sides of the equation.
3(x+5)=12
(3)(x)+(3)(5)=12(Distribute)
3x+15=12
Step 2: Subtract 15 from both sides.
3x+15−15=12−15
3x=−3
Step 3: Divide both sides by 3.
3x
3
=
−3
3
x=−1
Answer:
x = -1
Step-by-step explanation:
3(x+5)=12
Divide each side by 3
3/3(x+5)=12/3
x+5 = 4
Subtract 5 from each side
x+5-5 = 4-5
x = -1
Max climbs a hiking trail at a constant rate of 18 meters in 15 minutes. The line y = mx can be used to model Max's climb, where y is the distance he climbs and x is the time in minutes. Which is the slope of the line, m?
Answers
Answer:
18y=15mx/m
Step-by-step explanation:
that's the set up
The distance between two parks on a city map is 1.8 inches. The actual distance between Parks is 2 miles. In the same city, the distance from the library to the post office 0.8 mile
Answers
Answer:
0.72 inch on the map.
Step-by-step explanation:
[tex]\frac{1.8}{2} =\frac{x}{0.8}\\x=0.9 \times 0.8=0.72 ~inch[/tex]
What’s the factor for x2 - 1.44
Answers
Answer:
Step-by-step explanation:
(5x + 6) • (5x - 6)
—————————
25
Plz help me solve these:)
1. X/5 = 12/20 solve for x
2. -1⅗×(-⅝)=
3. X/14= 55/70 solve for x
Answers
Answer:
1. [tex]x=3[/tex]
2. [tex]1[/tex]
3. [tex]x=11[/tex]
Step-by-step explanation:
[tex]1.\\\frac{x}{5}=\frac{12}{20}\\\\x=3\\\\\\2.\\-1\frac{3}{5}*(-\frac{5}{8})=\\\\-\frac{8}{5}*(-\frac{5}{8})=\\\\-(-\frac{40}{40})=\\\\-(-1)=\\\\1\\\\\\3.\\\frac{x}{14}=\frac{55}{70}\\\\x=11[/tex]
Please help with this
Answers
Answer:
x = 6
Step-by-step explanation:
The scale factor is
28/8 = 7/2
We take the ratio of the larger side over the smaller side
Using ratios we can find the sides
28 21
----- = ---------
8 x
Using cross products
28x = 21*8
28x =168
Divide each side by 28
28x/28 = 168/28
x =6
Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFraction for x?
because 18 times 100 is equal to 5 times x, which means that x is equal to 36
because 18 times 100 is equal to 5 times x, which means that x is equal to 360
because 18 times x is equal to 5 times 100, which means that x is equal to 36
because 18 times x is equal to 5 times 100, which means that x is equal to 360
Answers
Answer:
because 18 times 100 is equal to 5 times x, which means that x is equal to 360
Step-by-step explanation:
18/5=x/100
Cross product
18*100=5*x
1800=5x
x=1800/5
x=360
because 18 times 100 is equal to 5 times x, which means that x is equal to 360
Answer:
b
Step-by-step explanation:
Find distance of each
Answers
Answer:
6 units
Step-by-step explanation:
Since the x coordinate is the same, we only have to look at the difference of the y coordinates
2 - -4
2+4
6
The distance is 6 units
Answer:
the answer is 6 units
Step-by-step explanation:
what is the relationship between angles 1 and 2?
Answers
Answer:
supplementary
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and supplementary.
Answer:
Angles 1 and 2 are supplementary angles.
Step-by-step explanation:
This means that angles 1 and 2 add up to 180 degrees.
find the slope of the line that passses thruogh 1,5 and 10,9
Answers
The answer is 4/9
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Please help me with the question below
Answers
Answer: B) y=4n+8
Step-by-step explanation:
in these type of questions, I use the strategy of trial and error, lets look at the first choice, y=4n+12, if we look at the first term, and substitute the numbers on the equation, we would get y=4(1)+12, which is y=16 which tells us that there are 16 shaded squares in the first term which is not true, then we move on to the next answer. Using this strategy, there is only one answer that makes sense which is B) y=4n+8, Just to make sure if we look at the first term, and use the formula, we get y=4(1)+8, which gives us y=12 which is true.
Hope it helped
A.line d
B.line c
C.line b
D.line a
Answers
Answer:
B. Line c
Step-by-step explanation:
looking at the points, 3, -2 is on line c.
// have a great day //
what is the volume of the pizza box?
Answers
Answer: A
Step-by-step explanation: we need to do 5/4*5/4*1/4. All of these multiplied by each other would be 25/64, so the answer is A.
What is the rate of change/slope?
Miles per hour
Hours Miles
2 70
4 140
6 210
8 280
Answers
Answer:
35 miles per hour
Step-by-step explanation:
The slope is
m = (y2-y1)/*x2-x1)
= (280-210)/(8-6)
= 70/2
= 35 miles per hour
WILL GIVE BRAINIEST!! In triangle PQR, PQ = 13, QR = 14, and PR = 15. Let M be the midpoint of QR. Find PM.
Answers
Answer:
6.5
Step-by-step explanation:
If M is the midpoint of PQ, PM is congruent to MQ. Midpoint means middle. So, the midpoint divides PQ in half. PQ = 13, and 13/2 = 6.5.
If In triangle PQR, PQ = 13, QR = 14, and PR = 15. M is the midpoint of QR. PM is: 12 cm.
Triangle PQRIn △PQR
M=Midpoint of side QR
PM =Median of the iangle
Using Apollonius theorem
PQ ² +PR ² =2PM ² +2QM ²
13²+14²=2PM ² +2(1/2QR) ²
169+196=2PM ²+2(6)²
169+196=2PM ²+2(36)
365=2PM ²+ 72
2PM ²=293
Divide both side by 2
PM ²=293/2
PM ²=146.5
PM=11.97 cm
PM=12 cm (Approximately)
Therefore PM is 12 cm.
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