Answer:
1 lap in 60 seconds
Step-by-step explanation:
This is the answer because:
1) Think of it as ratios or fractions
Ratio: 3:180
2) Next, we have to find something equivalent. Since 3 can only be multiplied by one or itself, we have to dived 3 by 3.
3) 3 divided by 3 is 1
2) 180 divided by 3 is 60
4) This equals to 1:60
Therefore, the answer is 1 lap in 60 seconds
Hope this helps!
In right ∆ABC with m∠B=30°, AC = 4.
Find AB, HB and Area of triangle ABC
Answer:
hb=4√3
Step-by-step explanation:
Answer:
AB = 8, HB = 6, Area of ∆ABC = 8[tex]\sqrt{3}[/tex], Perimeter of ∆ABC = 12 + 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
To find AB:
∆ABC is an 30,60,90∆
Using the theorem, you can find AB = 2AC = 2*4 = 8
AB = 8
To find HB:
You need to find AH to subtract from AB
Construct CH, a perpendicular bisector to side AB
From before you can put together that m∠CAB = 60°
∆ACH is an 30,60,90∆
Using this method again, AH = AC/2 = 4/2 = 2
Then you subtract AH from AB = 8-2 = 6
HB = 6
To find the area of ∆ABC:
You use the (base*height)/2 method
base = AB = 8
to find the height, CH, you need to use the Pytha Theorem
and get [tex]AH^{2}+CH^{2}=AC^{2}[/tex]
then substitute, and get [tex]2^{2} + CH^{2} = 4^{2}[/tex]
calculate and get CH = 2[tex]\sqrt{3}[/tex]
then the height = CH = 2[tex]\sqrt{3}[/tex]
solve the area and get
Area of ∆ABC = 8[tex]\sqrt{3}[/tex]
(optional perimeter)
to find perimeter of ∆ABC:
you add AC + CB + AB
you find CB by using opposite to 30°
CB = CH*2 = 2[tex]\sqrt{3}[/tex]*2 = 4[tex]\sqrt3}[/tex]
so AC + CB + AB = 4 + 4[tex]\sqrt3}[/tex] + 8
Perimeter of ∆ABC = 12 + 4[tex]\sqrt3}[/tex]
Hope this helps!!
given the function f(x)=2x^3-7x^2-5x+1 find f(-2)
Answer:
-33
Step-by-step explanation:
2(-2)^3 -7(-2)^2 -5(-2) +1
-16 -28 +11
= -33
What number is missing from the fact family?
4
6
10
16
Answer: I believe it’s 24
Step-by-step explanation: if not sorry
Answer:
Note that 6 is 4 plus 2,
10 is 6 plus 4, or 6 plus 2^2
16 is 10 plus 6
Given the first term, 4, we find the second term by adding 2 to 4, obtaining 6.
Given the 2nd term, 6, we find the third term by adding 4 to 6, obtaining 10.
Given the 3rd term, 10, we find the fourth term by adding 6 to 10: 16
What's the next term? Find the fifth term by adding 8 to 16: 24 (answer)
Step-by-step explanation:
24 would be the answer hope this helps ya :)
what does zero stand for
pls help thx , I’m behind ;(
HEY CAN ANYONE PLEASE HELP ME:))!!!
there could be a calculator online to solve it
PLEASE HELP!!!!! A jar contains 5 blue, 2 red and 3 green marbles Develop a probability model for randomly drawing a marble out of the jar.
Answer:
There is a 50% chance of a blue marble
20% chance of a red marble
30% chance of a blue marble
Find the coordinates of the intersection of the graph of the line y=2x−6 with coordinate axes.
Find the x and y intercept
Please help it's due in 5 minutes
Answer:
x-intercept = 3
y-intercept = - 6
Step-by-step explanation:
The intersection of the line with the x-axis is known as the x-intercept and it's calculated by making y = 0.
Also, the intersection of the line with the y-axis is known as the y-intercept and it's calculated by making x = 0.
Given the following data;
Equation of straight line is [tex]y = 2x - 6[/tex]
To find the intersection;
When y = 0, the equation crosses the x-axis.
y = 0;
Substituting into the equation, we have;
0 = 2x - 6
2x = 6
x = 6/2 = 3
x = 3
(x, y) = (3, 0) on the x-axis.
When x = 0, the equation crosses the y-axis.
x = 0;
Substituting into the equation, we have;
y = 2(0) - 6
y = 0 - 6
y = -6.
(x, y) = (0, -6) on the y-axis.
Therefore, the coordinates of the intersection of the graph is (3, 0) and (0, -6).
Need help with this math problem. Look at the picture.
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[tex] \frac{ {3}^{4} \times {v}^{2 \times 4} }{ {w}^{4 \times 4} } = \frac{81 {v}^{8} }{ {w}^{16} } \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
8x2+4x−3 is divided by 2x−1
I hope it is helpful for you
Answer:
the answer is 1
Step-by-step explanation: i took the test on k12 hope this helps
Solve 48 = -8r!!!help pleaseeeee
Answer:
D
Step-by-step explanation:
which decimal has the greatest value? 8.21, 82.19,82.09, 8.912
Answer:
82.19
Step-by-step explanation:
Simplify 7 + (-3)
Answers: -10 or -4 or 4 or 10
Answer:
4
Step-by-step explanation:
7 + (-3)
= 7 - 3
Answer:
the answer is 4
Step-by-step explanation:
Please help if u see this
[tex](f \circ g)(x) = x+12[/tex]
Domain = [-3, infinity)
==================================================
Work Shown:
[tex]f(x) = x^2 + 9\\\\f(g(x)) = (g(x))^2 + 9\\\\f(g(x)) = (\sqrt{x+3})^2 + 9\\\\f(g(x)) = x+3 + 9\\\\f(g(x)) = x+12\\\\(f \circ g)(x) = x+12\\\\[/tex]
In step 2, we replaced every x with g(x)
In step 3, we plugged in g(x) = sqrt(x+3)
The domain of g(x) is [-3, infinity), so this is the domain of [tex](f \circ g)(x)[/tex] as well since the composite function depends entirely on g(x). Put another way: the input of f(x) depends on the output of g(x), so that's why the domains match up.
Cuanto es 1/4 en pedazos?
Answer:
1/4 en pedazos seria 1/4 en pedazos
Step-by-step explanation:
la pregunta no tiene sentido
Answer: La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan cuatro piezas para formar un todo". La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan 4 piezas para formar un todo".
Step-by-step explanation:
A cylindrical container can hold 4 quarts of water if its radius and height are both tripled how much water can it hold?
Answer:
108quartz
Step-by-step explanation:
Volume of a cylinder = πr²h
r is the radius
h is the height
If A cylindrical container can hold 4 quarts of water, then;
4 = πr²h ...... 1
Let the volume be x of the radius and height at tripled
h1 = 3h
r1 = 3r
X = πr1²h1
X = π(3r)²(3h)
X = 9πr²(3h)
X = 27πr²h .... 2
Divide 1 by 2
4/x = πr²h/27πr²h
4/x = 1/27
Cross multiply
x = 4×27
x = 108
Hence the container can hold 108quartz of water of the radius and height was tripled.
Jamel has a cell phone that has unlimited minutes and texts for $45 a month, but he has to pay $5 for each gigabyte of data he uses. If he does not want to spend more than $65 for his cell phone each month, how many gigabytes can he use?
Answer:
I think it's 4 gigabytes
Step-by-step explanation:
He only wants to pay 65$ and he already spends 45$ on his phone already. So you only have 20 dollars until his grand totaly of 65$ so 5x4= 20 so he can only use 4 gigabytes. Does that make sense? Hope I helped eheh
MNO and MPO are isosceles triangles. Find angle t
Answer:
t = 20°
Step-by-step explanation:
Recall that the base angles of an isosceles ∆ are equal to each other.
This means that:
<NMO and <NOM of ∆MNO are congruent to each other.
Thus,
m<NMO = ½(180 - m<N) = ½(180 - 70)
m<NMO = ½(110)
m<NMO = 55°
Also, <PMO and <POM are congruent to each other. Thus:
m<PMO = ½(180 - m<P) = ½(180 - 110)
m<PMO = ½(70)
m<PMO = 35°
Therefore,
m<NMO = t + m<PMO (angle addition postulate)
55° = t + 35° (substitution)
Subtract 35 from each side
55° - 35° = t
20° = t
t = 20°
Which expression would be easier to simplify if you used the associative property to change the grouping.
c? i think its c (Sorry if iim wrong)
Answer:
The answer is D
Step-by-step explanation:
Brandon is on one side of a river that is 70 m wide and wants to reach a point 250 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running the rest of the way. Find the minimum amount of time if Brandon can swim at 2 m/s and run at 6 m/s.
Answer:
The minimum amount of time required is 74.7 seconds.
Step-by-step explanation:
The question can be solved in two cases:
i. diagonal swimming of Brandon across the river
ii. Running of the rest distance by Brandon.
Case I: Since he would swim diagonally across the river, then the diagonal distance can be determined by applying appropriate trigonometric function.
Let the diagonal be represented by x, an included angle θ = [tex]45^{o}[/tex] is formed at his starting point (angle formed by the diagonal and the length of the width of the river).
So that:
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos [tex]45^{o}[/tex] = [tex]\frac{70}{x}[/tex]
x = [tex]\frac{70}{Cos 45^{o} }[/tex]
= 98.995
x = 99 m
The diagonal distance covered by Brandon is 99 m.
The time to cover this distance can be calculated by:
speed = [tex]\frac{distance}{time}[/tex]
time = [tex]\frac{distance}{speed}[/tex]
Given that his swimming rate is 2 m/s, then:
time = [tex]\frac{99}{2}[/tex]
= 49.5
The time taken by Brandon to swim diagonally is 49.5 seconds.
Case II: Since he want to cover a total distance of 250 m;
remaining distance to be covered = 250 - 99
= 151
time = [tex]\frac{distance}{speed}[/tex]
Given that he runs at 6 m/s, then;
time = [tex]\frac{151}{6}[/tex]
= 25.1667
The time taken by Brandon to run the remaining distance is 25.2 seconds.
The minimum amount of time required = time taken by Brandon to swim diagonally + time taken by Brandon to run the remaining distance
= 49.5 + 25.2
= 74.7
The minimum amount of time required is 74.7 seconds.
Minimum amount of time to reach the desired point is 79.5 s
Brandon is on one side of a river
The width of the river = 70 m
Brandon wants to reach a point that is 250 m downstream of opposite side as quickly as possible by swimming diagonally across the river then running the rest of the way.
The swimming speed of Brandon = 2 m/s
The speed of running of Brandon = 6 m/s
Let us consider that the included angle be 45°
[tex]\rm cos \; \theta = \dfrac{70}{x} \\\\cos \; 45 = \dfrac{70}{x} \\\x = \dfrac{70}{0.707} \approx 99[/tex]
So the distance traveled by Brandon in water is 99 m
As the swimming speed of Brandon is given 2 m/s
So the time taken by Brandon to cross the river is given as follows
[tex]\rm Time = \dfrac{Distance}{Speed}[/tex]
[tex]\rm Time \; to\; cross\; the\; river = \dfrac{99}{2} = 49.5 \; s[/tex]
Let the horizontal distance covered by Brandon by swimming is H
So from Pythagorean theorem we can write
[tex]\rm H = \sqrt{99^2 -70^2 } = 70[/tex]
The distance that is left to be traveled by running is 250 - 70 = 180 m
So Time taken in running to reach the point by running = 180/6 = 30 s
So the time to reach the desired point = 49.5 + 30 = 79.5 s
For more information please refer to the link given below
https://brainly.com/question/14930619
Ms. Boyd has 9 bills in her purse that consist
of five-dollar bills and twenty-dollar bills. The
value of the bills is worth $105. How many
five-dollars bills and twenty-dollar bills does
Ms. Boyd have?
Answer:
5 twenty's 1 five
Step-by-step explanation:
20 x 5 = 100
100 = 5 = 105
An artist mixes colors for a painting. She mixes 1.5 ounces of blue with 2.5 ounces of yellow to get the perfect shade of green. If she determines that she will need 12 ounces of green, how much yellow paint will she need?
Answer:
4.5 ounces of yellow and 7.5 ounces of blue will create 12 ounces of the perfect shade of green.
Step-by-step explanation:
1.5 + 2.5 = 4 ounces.
Multiply by 3
4.5 + 7.5 = 12 ounces
So, she needs 4.5 ounces of yellow.
R - 27 / 6 = 7
SOLVE FOR R and thank you
Answer:
huh
Step-by-step explanation:
Which fractions are equivalent to 9 6
Answer:
2/3
Step-by-step explanation:
The fractions which are equivalent to the fraction [tex]\frac{9}{6}[/tex] from the given options are [tex]\frac{3}{2}[/tex] and [tex]\frac{12}{8}[/tex], which are options (A) and (C).
Given a fraction [tex]\frac{9}{6}[/tex].
It is required to find the fraction which is equivalent to the given fraction.
If two fractions are equivalent, then they will be proportional.
The fraction [tex]\frac{9}{6}[/tex] can be written as [tex]\frac{3*3}{2*3}[/tex].
Here, when 3 gets canceled, the resulting fraction is [tex]\frac{3}{2}[/tex].
So, [tex]\frac{3}{2}[/tex] is equivalent to [tex]\frac{9}{6}[/tex].
And, [tex]\frac{3}{2}[/tex] is the simplest fraction that cannot be simplified further.
So, any number multiplied by it both on the numerator and denominator will be an equivalent fraction.
Multiplying both the numerator and denominator of the fraction [tex]\frac{3}{2}[/tex] by 4, the resulting fraction is [tex]\frac{12}{8}[/tex].
Hence, the correct options are (A) and (C).
Learn more about Fractions here :
https://brainly.com/question/29796627
#SPJ6
The complete question is given below.
Which fractions are equivalent to [tex]\frac{9}{6}[/tex]?
(A) [tex]\frac{3}{2}[/tex]
(B) [tex]\frac{4}{5}[/tex]
(C) [tex]\frac{12}{8}[/tex]
(D) [tex]\frac{10}{8}[/tex]
Write Polynomial Function From Graph
Answer:
X=38(8m)#7=274*€7£
Step-by-step explanation:
There you go my answer is pretty much the explanation
not sure what grade this is but if this is collage than that would be the answer
Show Your Work!
Will Mark Brainliest!
Answer:
x= -4
Step-by-step explanation:
5x - 4y + 8 ; x = 8 , y = 2.5
Answer:
38
Step-by-step explanation:
because u deleting this app
Find the slope of the line
Answer:
C. -3/4
Step-by-step explanation:
The Slope is always rise over run or
rise
___
run
so with X you rise up 3 and Y, you run down 4 so the slope is C.
-3/4
if I'm born in January 4th 2009 how old am I in 2020
Answer:
11
Step-by-step explanation:
i was born one year before you
Consider a right-tailed test (upper tail) and a sample size of 40 at the 95% confidence level. The value of t is ________.
a. +2.023
b. -2.023
c. -1.685
d. +1.685
Answer:
The correct option is d.
Step-by-step explanation:
The directional hypothesis is:
[tex]H_{a}:\mu>\mu_{0}[/tex]
The sample size is, n = 40.
The significance level is:
[tex]\alpha =1-0.95=0.05[/tex]
Use the t-table to compute the right-tailed t-critical value as follows:
[tex]t_{\alpha,\ (n-1)}=t_{0.05, (40-1)}[/tex]
[tex]=t_{0.05, 39}\\\\\approx t_{0.05, 40}\\\\=1.684\\\\\approx 1.685[/tex]
The value is positive since the directional hypothesis suggests that the test is right tailed.
The correct option is d.
