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.
Answer:
ac is parallel to df because it doesn't intersect with each other
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.
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
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
Answer:
B. 44cm
Step-by-step explanation:
d(diameter) = 2r (radius)
d = 2 X 22 cm
d = 44 cm
if the circumference of a circle is 4πrcm, find diameter
Answer:
1.274cm
Step-by-step explanation:
Sammy’s dad drove their car 150 miles in three hours. At this rate, how far would he drive in nine hours?
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! :)
When factored completely, z2 - 9 equals?
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
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.
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!
What is the measure of angle L and F? WILL GET BRAINLIEST!!!!!!
find the approximate radius of a circle with circumference of 198 centimeters
Answer:
C=2πr
r=C/2π
198/2π
≈31.51268cm
How many solutions does the system of equations below have?
y = 8x - 7
y = 8x + 4/5
no solution
one solution
infinitely many solutions
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 :)
If the distance between two lines never changes,is it perpendicular,parallel,intersecting lines or rays
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
Solve
-6=|3x|
A. X =2;x=-2
B. X=12;x=-12
C. X= 1/2; x = -1/2
D. No solution
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?
Answer:
all angles are congruent
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
Answer:
The answer would be A) 4
Please help! My teacher says if I don’t get at LEAST an 80 she’ll fail me-
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.
I need help with Function Operations
Answer: 189
All Steps and Information Found in Image.
Hope This Helped!
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
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
Is my answer correct?
Answer:
yes
Step-by-step explanation:
YOU DID IT'S A GOOD DAY
HELLP HURRY I WILL GIVE BRAINLIEST
Use the graph.
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]
Matt says that 5- 1 1/4 with be more than 4, since 5 - 1 is 4
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.
please solve this i need help (5 stars to the correct ones) 73.6 ÷ 10
Answer:
0.736
Step-by-step explanation:
Answer:
7.36
Step-by-step explanation:
Calculator...
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]
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.
a)0.76×0.004
b)0.078÷0.5
c)0.834+0.79
d)0.0034-0.0078
What are the solution(s) for the quadratic equation?
f(x)=x^2+12x+36
Please show work!
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]
What is the least common multiple? 48, 10
Answer:
240
Step-by-step explanation:
Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work
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]
if 45% of an item is 72.00 what is the original price. someone help me
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:
Find the value of x and y
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
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?
(I don't really know how to explain it though.)
FGH and PQR are vertical angles. If FGH is 29 what is the measure of PQR?
< 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
:)