The speed of the raft if the speed of the patrol-boat was 12 km/hour, and it caught the raft in 5 hours 20 min later is 2.857 km/hours.
What is the speed of a body?
The speed of a body is the rate at which it covers the total distance is in the time taken. The speed of the body is given as,
[tex]S=\frac{D}{T}[/tex]
Here, (d) is the distance travelled by the body, and (t) is time taken by the body to cover that distance.
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A.
Total time the patrol boat took in hours is,
[tex]T = 5 + \frac{20}{60}[/tex]
T=5+0.3333
T=5.3333 hours
The speed of the patrol boat is 12 km/hour, and it caught up with the raft 20 km away from point A. Thus, the time taken with this speed to cover 20 km distance is,
[tex]T=\frac{20}{12}[/tex]
T=1.6667 Hours
Thus, the total time is,
T=5.3333+1.6667
T=7 Hours
Now as the raft travel 20 km in 7 hours. Therefore, find the speed of raft by putting the values in above formula as,
[tex]S=\frac{20}{7}[/tex]
S=2.857 kmph
Two numbers have a product of -36
They have a sum of -5
What are the two numbers?
Answer:
-9,4
Step-by-step explanation:
What is the image of (-4,-2) after a reflection over the line y = -x?
Answer:
(2, 4).
Step-by-step explanation:
For y = -x the transform is:
( x, y ) reflects to (-y, - x)
So (-4, -2) reflects to (2, 4)
Use the formula for radian measure to calculate the measure of a central angle in a circle having a radius of 12 cm and intercepting an arc of 21 cm. theta = startfraction s over r endfraction the angle has a measure of radians.
The central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.
What is the formula for radian measure?The formula for radian measure to calculate the central angle is given as,
[tex]\theta=\dfrac{s}{r}[/tex]
Here, (r) is the radius of the circle and (θ) is the central angle.
In a circle having a radius of 12 cm and intercepting an arc of 21 cm. Put the value of radius and the length of the arc in the above formula as,
[tex]\theta=\dfrac{21}{12}\\\theta=1.75[/tex]
Thus, the central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.
Learn more about the radian measure formula here;
https://brainly.com/question/12939121
Answer:1.75 radians
Step-by-step explanation: edge
find Y thanks don’t be guessing cuz girl
Answer:
3 inches
Step-by-step explanation:
It's like 2 inches, but a little bigger.
Hope this helps and is correct.
Btw it's my birthday.
25. The sales tax rates 7.25
Part A How much taxis added on an item that costs $56.007
Part B $36.25 in taxis added to the price of an item, what was the original price of the item? pie y pie
Answer:
A:60.14
B:3,379.95
Step-by-step explanation:
I assume that .007 is supposed to be .07
56.07*1.0725=60.14
B.
36.25 is 1.0725 of ...
3,379.95
36.25 * 0.010725
& What value of x satisfies the system of equations below!
x+2y= 11
4x - y = 8
Answer:
[tex]\boxed{\sf{x=3 \quad y=4}}[/tex]Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
x+2y=11 and 4x-y=8⇒ x+2y=11
⇒ x=11-2y
Substitute.
4(11-2y)-y=8
Solve.
Distributive property:
⇒ A(B+C)=AB+AC
4(11-2y)
4*11=44
4*2=8
Rewrite the problem down.
44-9y=8
Subtract by 44 from both sides.
44-9y-44=8-44
Solve.
-9y=-36
Divide by -9 from both sides.
-9y/-9=-36/-9
Solve.
-36/-9=4
y=4
Substitute of y=4.
⇒ x=11-2*4
Use order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract11-2*4
Multiply.
2*4=8
Rewrite the problem down.
11-8
Subtract.
11-8=3
x=3
Therefore, the correct answer is x=3 and y=4.I hope this helps you! Let me know if my answer is wrong or not.
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
b) cylinder volume = π r^2 h = π*4*3= 12π = 37.68in^3
d) cone volume = .33π r^2 h = .33*π*225*50= 3750π cm^3
f) cuboid volume = l*b*h = 44*19= 836 in^3
e) hemisphere volume = 2/3 π*r^3 = 883.57ft^3
(If A(2, -3), B(3,-2) and point C divides the line segment AB in the ratio of 1: 2, find OC.)
Answer:
A(2, -3) and B(3, -2), o(0, 0) Let C(x, y)
Here c divide AB line in the ratio of 1:2
From the line intersection law, we get x=(m1×x2+m2×x1)/(m1+m2)
and y=(m1×y2+m2×y1)/(m1+m2)
where m1=1, m2=2, x1=2, x2=3, y1=-3, y2=-2;
so x=(3+4)/3
or, x=7/3;
y=(-2-6)/3
or, y=-8/3;
so, oc=√((0-7/3)²+(0-(-8/3))²)
oc=3.54
DIRECTIONS: Type your answer in the space provided. The slope must be in fraction form.
What is the equation of the line parallel to the given line through the point (14,0)?
-4x - 7y = 14
Find the slope of the line containing the points (-2, -3) and (-4, 1).
Answer:
- 2
Step-by-step explanation:
Slope, m = (y1-y2)/(x1-x2)
= ( -3 -1)/(-2- -4) =
-4 / ( 2) = - 2
Sloep:-
m=1-(-3)/-4-(-2)m=1+3/-4+2m=4/-2m=-2Which expression is equivalent to 8 (a minus 6)?
8 a minus 48
2a
8 a minus 6
48a
Answer:
8 a minus 48
Step-by-step explanation:
you need to distribute!!
so you distribute the 8 to both the a and 6
8 times a equals 8 a
8 times 6 equals 48
and so that’s how you get 8 a minus 48 c:
Answer:
8 a minus 48
Step-by-step explanation:
Look at the map showing the Austria-Hungarian Empire in about 1900.
Map of ethnic groups in Austria-Hungary in 1867. Prussia, the Russian Empire, Kingdom of Italy, Serbia and Romania are shown along with these ethnic groups: Germans, Poles, Slovenes, Hungarians, Romanians, Italians, Czechs and Slovaks, Croats and Serbs.
What information does the map provide about the Austria-Hungarian Empire?
Answer:
Austria-Hungary was home to many different ethnic groups.
Step-by-step explanation:
hope it helps ;))
9. A man bought a calculator for Rs 1450 and sold at a loss of 12% Find the loss amount Hi. Find the selling price of the calculator.
Loss amount:-
12% of 14500.12(1450)₹174Hence
Selling price:-
Price-loss1450-174₹1276Answer:
1276 rupees
Step-by-step explanation:
Given
Price = 1450Loss % = 12%Solving
Selling price = 1450 x (100 - 12%) [as it a loss]1450 x 88%1450 x 0.881276 rupeesThe following box plot shows the class scores on a particular math test:
10
20
30
70
80
90
100
40 50 60
Percent
Which of the following data sets is represented in the box plot?
{40, 50, 50, 77, 77, 100)
{0.50, 60, 75, 85, 100)
{50, 60, 60, 75, 75, 85, 85, 100)
[60, 65, 70, 75, 85, 85, 85)
Answer:
maybe the third one and i would also like to see the box plot
Step-by-step explanation:
can someone help with this please I would really appreciate it.
Answer:
The answer is 8 ft ^3
Step-by-step explanation:
1. 4 (base ) x 4 (width) x 2 (height)
2. Get the answer of 32.
3. Do 32 x 1/4 because each square is 1/4 ft.
4. Get the answer of 8
Hope this helps! :)
Solve for X. Its geometry, will mark branliest
Answer:
x=4
Step-by-step explanation:
right triangle calculator works well
"All rational functions have asymptotes and points of discontinuity." Katlyn wants to put this statement in her math book. Is this statement true? Explain, for her benefit, using 2 examples
Answer:
Not true.
Step-by-step explanation:
A rational function is like P(x) / Q(x) where P and Q are polynomials.
Examples would be x^2 / (x^2 - 2) and x^2 / (x^2 + 2).
Now the first one will have a vertical asymptote at x = √2 because this value would make the denominator zero.
The second one will have no asymptotes because the only value that would make x^2 + 2 = zero is not real (it would be √2i). So the domain of this is all real numbers , and no asymptotes.
The first rule is add 12, then divide by 2 starting from 4. The second rule is multiply by 2, then subtract 2 starting from 3. What are the first four ordered pairs using the two sequences? (4, 4), (8, 6), (10, 10), (11, 18) (0, 4), (3, 6), (4, 10), 5, 18) (4, 3), (8, 4), (10, 6), (11, 10) (0, 3), (3, 4), (4, 6), (5, 10). I WILL MARK BRAINLIST. MY BROTHER NEEDS HELP WITH MATH LOLOLOLOLOLOLOLOLOLOLOLOLOL
Answer:
(03,)(4,4(4,6),(5,10)
Step-by-step explanation:
I’m smart I have an A + so it’s correct
Please helpppppppppp
Answer:
96 pizza slices
Step-by-step explanation:
Make a chart if 1 slice = 1.25, 20 pizza slices will cost 25.00, 50 will cost 62.50. An easy way you coud do it would be divided 120 by 1.25. When yu divided it it will give you 96. So, 96 slices will cost 120.00.
What is the answer I need help please
Answer:
i belive the answer is 73
Step-by-step explanation:
45+62=107
180-107=73
What do a and b represent in the general term(tn)=an+b of sequence?
The sequence Tn = an + b is an arithmetic sequence.
b represents the first term, and a represents the common difference
How to interpret variables a and b?
The general term is given as:
Tn = an + b
The above term is an arithmetic sequence.
An arithmetic sequence is represented as:
Tn = T1 + (n - 1)d
Where T1 represents the first term, and d represents the common difference
By comparing Tn = an + b and Tn = T1 + (n - 1)d, we have:
b = T1
a = d
This means that b represents the first term, and a represents the common difference
Read more about sequence at:
https://brainly.com/question/7882626
[tex]\frac{2x^{2} -50}{x^{2} +7x+10}[/tex]
Step-by-step explanation:
[tex] \frac{2 {x}^{2} - 50}{ {x}^{2} + 7x + 10 } [/tex]
[tex] \frac{2( {x}^{2} - 25) }{(x + 5)(x + 2} [/tex]
[tex] \frac{2(x + 5)(x - 5)}{(x + 5)(x + 2)} [/tex]
[tex] \frac{2(x - 5)}{x + 2} [/tex]
- Calculate the profit or loss
- Find the percentage profit or loss correct to 2 decimal places
A car purchased for $28899 was sold for $17580
Answer:
loss=B.price-S.price
$28899-$17580=$11319
Percentage profit=profit/B.price*100%
$11319/28899*100=$385.20
Step-by-step explanation:
What does 2k^4 * 10k^-7 equal?
Answer:
0.0000016k
Step-by-step explanation:
1. Solve
2k^4x10k^-7
16k*0.0000001k
0.0000016k
I have a proof and I need help!
Answer:
Step-by-step explanation:
help me with this question also
[tex]\text{Given that,}\\\\[/tex]
[tex]~~~~~~~\cos \theta = \dfrac 89\\\\\\\implies 2\cos^2 \left(\dfrac{\theta}2 \right) -1 = \dfrac 89~~~~~~;\left[1+ \cos 2\theta = 2\cos^2 \theta \right]\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)= \dfrac 89 +1\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)=\dfrac{17}9\\\\\\\implies \cos^2 \left(\dfrac{\theta}2 \right) = \dfrac{17}{18}\\\\\\\implies \cos \left(\dfrac{\theta}2 \right)=\sqrt{\dfrac{17}{18}}~~~~~~~~~~~;\left[\text{Positive value of} ~\cos \left(\dfrac{\theta}2\right) \right][/tex]
[tex]\implies \cos \left(\dfrac{\theta} 2 \right) =\dfrac{\sqrt{17}}{\sqrt{9 \times 2}}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17}}{3\sqrt 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17} \cdot \sqrt 2}{3\cdot 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{34}}{6 }[/tex]
A can of vegetables is 4.5 in. high and has a diameter of 3 in. Find the volume of the can to the nearest tenth of a unit. Use 3.14 for π.
Answer:
i dont know i tried really really hard i wish i could help
Step-by-step explanation:
Jack had m math problems to complete during his vacation. He solved the same
number of problems every day and finished them all in 5 days.
Suppose Jack was solving 15 problems per day. Use this information and the answer
to part (a) to build an equation.
Answer:
M/5 =15
Step-by-step explanation:
The answer to part a was m/5. m/5 is the amount of questions Jack does per day. If 15 is supposedly the number of question he does per day, then m/5 and 15 are equal. Making m/5=15. Good luck fellow RSM student.
Find the volume of the figure below.
Answer:
B. 86.625
Step-by-step explanation:
To find the volume of a shape the formula is this, length x width x height. 5.5 x 4.5 x 3.5 = 86.625.
There are 30 students in Ava’s class. Nine of them belong to the Pep Club. What fraction of the class are Pep Club members?
Answer:
total no. of students=30
pep club students =9
:=9/30 divide by 3
;=3/10
