PYTHAG THEOREM!
Aubrey is building a slide for her kids. If the ladder is 6 feet tall and she wants the bottom of the slide to be 5 feet from the ladder, how long does the slide need to be? If necessary, round to the nearest tenth.
Answers
Answer:
sqrt(11)
Step-by-step explanation:
a^2+b^2 = c^2
a = 5
c = 6
b = ?
25 - b^2 = 36
36 - 25 = b^2
b = sqrt(11)
The ladder should be 7.81 feet long.
What is Pythagoras theorem?Pythagoras theorem tell us the relation between the sides of a right-angled triangle, it states, the sum of the squares of the base and perpendicular is equal to the square of the hypotenuse.
Given that, Aubrey is building a slide for her kids. If the ladder is 6 feet tall, and she wants the bottom of the slide to be 5 feet from the ladder,
This slide is in the form of a right triangle, therefore applying the Pythagoras theorem, we have,
a²+b² = c² (refer to the figure attached)
5²+6² = c²
c² = 25+36
c² = 61
c = √61
c ≈ 7.81
Hence, the length of the slide should be 7.81 feet.
For more references on Pythagoras theorem, click;
https://brainly.com/question/343682
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Related Questions
5) According to the histogram, how many shipments were received that had at most 30 bulbs broken? A) 4 B) 5 C) 9 D) 13
Answers
Answer:
The answer would be A) 4
The admission fee at a small fair is $1. 50 for children and $4. 00 for adults. on a certain day, 2200 people enter the fair and $5050 is collected. how many children and adults attended?
Answers
(I don't really know how to explain it though.)
AC, DF and YZ are straight lines and all angles are in degrees.
By first considering the angles
on line ABC, show that AC is
parallel to DF.
Answers
Answer:
ac is parallel to df because it doesn't intersect with each other
x + 25 + 2x + 50 = 180
3x + 75 = 180
3x = 105
X = 35
IF line AC and DF were parallel, this means that 2x + 50 = 5x - 55 because corresponding angles are equal
2(35) + 50 = 120
5(35) - 55 = 120
Thus, AC is parallel to DF
Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft.Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.
Answers
The speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.
SpeedLet x be the speed of the current in km/h units
Speed of the boat traveling against the current= (15-x) km/h
Time spent traveling 36 miles against the current=36/15-x hours
Time spent rafting36miles (with the current) =35/x hours
Equation=36/x-36/15-x=9
Multiply both sides by x×(15-x)
36×(15-x) - 36x = 9x×(15-x)
540 - 36x - 36x=135x-9x²
9x²-207x+540=0
x²-23x+60=0
(x-3)×(x-30) = 0
Roots are x= 3 and x= 30
Since 15-x must be positive, the only root x = 3 survives
Hence:
Speed =3 km/h
Inconclusion the speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.
Learn more about speed here:https://brainly.com/question/4931057
Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work
Answers
Answer:
Option A
Step-by-step explanation:
Given:
Angle=45°Base= 9hypotenuse = x[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]
[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]
[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]
[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]
Matt says that 5- 1 1/4 with be more than 4, since 5 - 1 is 4
Answers
Answer:
Step-by-step explanation:
He is incorrect.
We are not only subtracting 1 from 5 but 1/4 also, so the result has to be less than 4.
5 - 1 1/4
= 5 - 1 -1/4
= 3 3/4.
FGH and PQR are vertical angles. If FGH is 29 what is the measure of PQR?
Answers
< PGR = 61°
Step-by-step explanation:[tex]< FG4\ and\ < PQR\ are\ vortical\ angles.[/tex]
[tex]< FG4=29[/tex]°
[tex]< PQR=90\ - < FG4[/tex]
[tex]=90\ -29[/tex]°
[tex]=61[/tex]°
I hope this helps you
:)
Twenty wooden spheres, each with a radius of 2 inches, are packed snugly into a square box that is 18 inches on each side. The remaining space is filled with packing beads. What is the volume occupied by the spheres?
Vsphere=[tex]\frac{4}{3}\pi r^3[/tex]
Answers
Answer:
670.21 inches^3
Step-by-step explanation:
To find the volume of the spheres, all you need to know is the formula for the volume of a sphere, which you've included in your problem. From the problem, you also know that r = 2. From here, you calculate the volume of 1 of the spheres, which turns out to be:
V = 33.51032
Since there are 20 spheres in this box, you multiple the volume of a single sphere by 20 to get the total volume occupied by the spheres.
V = 20 * 33.51032
V = 670.2064
If you round to 2 decimal places, this becomes 670.21.
What is the measure of angle L and F? WILL GET BRAINLIEST!!!!!!
Answers
SinL = 6/10
L = sin-1(6/10)
L = 36.87°
Angle F
SinF =8/10
F = sin-1(8/10)
F= 53.13°
Sammy’s dad drove their car 150 miles in three hours. At this rate, how far would he drive in nine hours?
Answers
Answer:
distance in 3 hours = 150 miles
distance in 1 hour = 150/3 = 50 miles
distance in 9 hours = 50 × 9 = 450 miles
Answer:
Sammy's dad traveled 450 miles in 9 hours.
Step-by-step explanation:
mph = [tex]\frac{Miles}{Hours}[/tex]
Miles = 150
Hours = 3
Plug into the formula of distance/time
[tex]\frac{150}{3} = 50mph[/tex]
Sammy's dad is driving at 50mph
In three hours you can use this formula: [tex]50mph=\frac{miles}{9}[/tex]
Multiply both sides by 9: [tex]50mph * 9 =\frac{miles}{9} *9[/tex]
Solve:
[tex]50mph * 9 =miles[/tex]
[tex]450 =miles[/tex]
Sammy's dad traveled 450 miles in 9 hours.
Hope this helped! :)
Please help! My teacher says if I don’t get at LEAST an 80 she’ll fail me-
Answers
Answer:
5/6, or about 0.833
Step-by-step explanation:
For student 7, the tack landed point up 5 times out of 6. So for student 7, the experimental probability that the tack lands point up is 5/6, or about 0.833.
When factored completely, z2 - 9 equals?
Answers
Let's see
[tex]\\ \bf\bull\rightarrowtail z^2-9[/tex]
[tex]\\ \bf\bull\rightarrowtail z^2-3^2[/tex]
(a+b)(a-b)=a^2-b^2[tex]\\ \bf\bull\rightarrowtail (z+3)(z-3)[/tex]
Answer:
(z+3)(z-3)
Step-by-step explanation:
a^2 - b^2 = (a+b)(a-b) where a = z and b= 3
HELLP HURRY I WILL GIVE BRAINLIEST
Use the graph.
Answers
Answer:
A
Step-by-step explanation:
From inspection of the graph:
a = 3 unitsb = 6 unitsc = 2 unitsd = 4 units[tex]\dfrac{a}{b}=\dfrac36=\dfrac12[/tex]
[tex]\dfrac{c}{d}=\dfrac24=\dfrac12[/tex]
[tex]\dfrac{d}{c}=\dfrac42=2[/tex]
[tex]ab=3 \cdot 6 = 18[/tex]
[tex]cd=2 \cdot 4 = 8[/tex]
[tex]a+b=3+6=9[/tex]
[tex]c+d=2+4=6[/tex]
Therefore, the only expressions that are equal are:
[tex]\implies \dfrac{a}{b}=\dfrac{c}{d}[/tex]
How many solutions does the system of equations below have?
y = 8x - 7
y = 8x + 4/5
no solution
one solution
infinitely many solutions
Answers
Answer: No Solution
Step-by-step explanation:
To solve this system of equations, set the two equations equal to each other and get: 8x - 7 = 8x + 4/5.
However, notice that if you consolidate the x terms and subtract 8x, you get 0 - 7 = 4/5.
7 can never equal 4/5, so there is no solution :)
please solve this i need help (5 stars to the correct ones) 73.6 ÷ 10
Answers
Answer:
0.736
Step-by-step explanation:
Answer:
7.36
Step-by-step explanation:
Calculator...
Solve
-6=|3x|
A. X =2;x=-2
B. X=12;x=-12
C. X= 1/2; x = -1/2
D. No solution
Answers
Answer:
D. [tex]\displaystyle No\:Solution[/tex]
Explanation:
The absolute value of an integer is NEVER negative, hence, your answer. ON THE OTHER HAND, these are the only exceptions:
[tex]\displaystyle -6 = -|3[-2]| \\ -6 = -|3[2]|[/tex]
The negative absolute value of an integer however, IS negative.
I hope you are capable of differentiating between the two, and as always, I am joyous to assist anyone at any time.
What other properties of a kite am I missing?
Answers
Answer:
all angles are congruent
if the circumference of a circle is 4πrcm, find diameter
Answers
Answer:
1.274cm
Step-by-step explanation:
if 45% of an item is 72.00 what is the original price. someone help me
Answers
Answer:
45% x 72.00 = 32.4
Step-by-step explanation:
hope this helped :)
Answer:
If 45% of an item is 72.00 what is the original price is, $160.00
Step-by-step explanation:
If the distance between two lines never changes,is it perpendicular,parallel,intersecting lines or rays
Answers
Answer:
parallel
Step-by-step explanation:
If the distance between two lines never changes, they are parallel lines.
Answer:
parallel
Step-by-step explanation:
parallel lines never have a distance change between them
What is the least common multiple? 48, 10
Answers
Answer:
240
Step-by-step explanation:
Is my answer correct?
Answers
Answer:
yes
Step-by-step explanation:
YOU DID IT'S A GOOD DAY
I need help with Function Operations
Answers
Answer: 189
All Steps and Information Found in Image.
Hope This Helped!
the volume of a cylinder is 411π in^3. The height of the cylinder is 9 in. Calculate the diameter of the cylinder to the nearest tenth of a centimeter.
Answers
Answer:
13.5 in, or 34.3 cm.
Step-by-step explanation:
First, use the formula volume = pi * r^2 * height- you have the volume, so just solve the equation 411pi = pi * 9 * r^2 for r, and you get that r = 6.75. Since diameter is equal to 2r, multiply 6.75 by 2 to get your answer of 13.5 inches. The questions asks for the diameter in centimeters though, which makes it 34.3 cm.
Hopefully this helps- let me know if you have any questions!
PLEASE HELP !
The radius of circle L is 22cm what is the lenght of its diameter ? A. 88cm B. 44 cm C. 22cm D. 11cm
Answers
Answer:
B. 44cm
Step-by-step explanation:
d(diameter) = 2r (radius)
d = 2 X 22 cm
d = 44 cm
Find the value of x and y
Answers
Answer:
x=120
y=60
Step-by-step explanation:
i) y=60 [ corresponding angles]
ii) x + 60 = 180 [linear pair]
or, x = 180- 60
therefore, x is equal to 120
find the approximate radius of a circle with circumference of 198 centimeters
Answers
Answer:
C=2πr
r=C/2π
198/2π
≈31.51268cm
What are the solution(s) for the quadratic equation?
f(x)=x^2+12x+36
Please show work!
Answers
Let's see
[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]
[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]
[tex]\\ \rm\rightarrowtail x(x+6)+6(x+6)=0[/tex]
[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]
[tex]\\ \rm\rightarrowtail x=-6[/tex]
a)0.76×0.004
b)0.078÷0.5
c)0.834+0.79
d)0.0034-0.0078
Answers
.156
1.624
-.0044
Sharlotta's favorite candy is pixie sticks. A packet of 6 pixie sticks cost $ .42. How many packets of pixie sticks can Sharlotta buy for $13.02
Answers
the answer is 29.02
first I had to find out if it was cents or dollars I just thought of cents
so I did 42 cent minus 13.02 and that equals to 29.02