In 15 minutes, Jada would have covered about 2.5 miles, while the cousin would have covered 0.625 miles.
What is speed?Speed is the ratio of distance to time.
For Jada:
Speed = 2 miles / 12 minutes = 0.167 miles per minute
For Jada cousin:
Speed = 1 mile / 24 min = 0.0417 miles per minute.
Hence, in 15 minutes:
Jada distance = 15 min * 0.167 miles per minute = 2.5 miles
Jada cousin distance = 15 min * 0.167 miles per minute = 0.625 miles
In 15 minutes, Jada would have covered about 2.5 miles, while the cousin would have covered 0.625 miles.
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Explain how to use basic facts and number patterns to find 5600%7
Answer:
600.
Well, to divide these numbers, we can use certain strategy that fits with out logic. For example, we know that 56 divided by 7 can be done mentally, because it's a simple division that can be immediately solved.
So, 56 divided by 7 is 8, then we add the two zeros to the quotient, because we isolated the first to digit to make the division easier and then we have to add back those zeros.
Therefore the division results in 600.
There are several operations that can be done by using certain strategy, like separating the number in easier parts like we did this time.
What is the solution to the following system?
(3x+2y+z = 20
X-4y-Z=-10
2x+y + 2z = 15
Answer:
x = 4; y = 3; z = 2
Step-by-step explanation:
3x + 2y + z = 20
x - 4y - z = -10
2x + y + 2z = 15
6x + 4y + 2z = 40
x - 4y - z = -10
-------------------------
7x + z = 30
x - 4y - z = -10
8x + 4y + 8z = 60
----------------------------
9x + 7z = 50
z = 30 - 7x
9x + 7(30 - 7x) = 50
9x + 210 - 49x = 50
-40x = -160
x = 4
z = 30 - 7(4)
z = 2
2x + y + 2z = 15
2(4) + y + 2(2) = 15
y = 3
x = 4; y = 3; z = 2
Makayla leans a 26-foot ladder against a wall so that it forms an angle of 69^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.
The base of the ladder and the wall forms a right triangle
The horizontal distance between the base of the ladder and the wall is 9.3 feet
How to determine the horizontal distance?The given parametes are:
Angle = 69 degrees
Length of the ladder (l) = 26 feet
The horizontal distance (h) is calculated using the following cosine ratio
cos(θ) = h/l
Substitute known values
cos(69) = h/26
Make h the subject
h = 26 * cos(69)
Evaluate the product
h = 9.3
Hence, the horizontal distance between the base of the ladder and the wall is 9.3 feet
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8. A megaphone is formed by taking a cone with radius of 18 centimeters and an edge length of 60 centimeters from tip to base
and cutting off the tip. The
cut is made 12 centimeters along the edge from the tip and is parallel to the base. The cut produces
a new radius of 4 centimeters. Round your answers to the nearest tenth.
Hint: A megaphone is hollow, so do not include the base.
a. What is the surface area of the whole cone?
b. What is the surface area of the tip that is removed?
카
cone
megaphone
whole cone
C.
What is the surface area of only the megaphone?
The Surface area of the whole cone is 4408.56 cm²
The Surface area of the tips that is removed is 376.8 cm²
The Surface area of the megaphone(hollow) is 2712.96 cm²
What is surface area?Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.
Therefore,
Surface area of the whole cone = πr² + πrl
Therefore,
Surface area of the whole cone = πr(r + l)
where
r = radius = 18 cml = edge length = 60 cmSurface area of the whole cone = 3.14 × 18(18 + 60) = 4408.56 cm²
Surface area of the tips that is removed = 3.14 × 4 (18 + 12) = 376.8 cm²
Surface area of the megaphone(hollow) = πrl
Surface area of the megaphone(hollow) = 3.14 × 18 × (60 - 12) = 2712.96 cm²
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i need help with my homework
Answer:
B
Step-by-step explanation:
every length of a connection between 2 points is the Hypotenuse of right-angled triangle created by the x- and y-coordinate differences of the points.
and Pythagoras is the best way to cancer the length of such a Hypotenuse.
AD² = 2² + 2² = 8
AD = sqrt(8)
AB = AD
BC² = 4² + 2² = 16 + 4 = 20
BC = sqrt(20)
CD = BC
so, the perimeter is
AD + AB + BC + CD = 2×sqrt(8) + 2×sqrt(20) =
= 14.60112616... units ≈ 14.6 units
The average high temperature was 86° in august then 93° in September. What is the percent increase or decrease
Puzzle Two
Determine the volume of the following spheres with the given dimensions. To break
the code find the mean of all your answers. Round your answers to the hundredth
place. Use 3.14 for an approximation for pl.
1)
3)
18 in
3 cm
2)
4).
10
42 in
Code:
B
The volume of a sphere is the amount of space in it
The volumes of the spheres are 24416.64, 113.04 and 310181.76
How to determine the volume of the spheres?The volume of a sphere is calculated using:
V = 4/3 πr^3
When the radius, r = 18, we have:
V = 4/3 * 3.14 * 18^3
V = 24416.64
When the radius, r = 3, we have:
V = 4/3 * 3.14 * 3^3
V = 113.04
When the radius, r = 42, we have:
V = 4/3 * 3.14 * 42^3
V = 310181.76
Hence, the volumes of the spheres are 24416.64, 113.04 and 310181.76
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Margin of error: 0.005 ; confidence level: 96%; p^ and q^ unknown
Using the z-distribution, it is found that the minimum sample size required is of 42,190.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 96% confidence level, hence[tex]\alpha = 0.96[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.96}{2} = 0.98[/tex], so the critical value is z = 2.054.
As for the other parameters, we have that M = 0.005 and [tex]\pi = 0.5[/tex], as there are no estimates of the proportion. Hence, we solve for n to find the minimum sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.005 = 2.054\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.005\sqrt{n} = 2.054(0.5)[/tex]
[tex]\sqrt{n} = \frac{2.054(0.5)}{0.005}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{2.054(0.5)}{0.005}\right)^2[/tex]
[tex]n = 42189.16[/tex]
Rounding up, the minimum sample size required is of 42,190.
More can be learned about the z-distribution at https://brainly.com/question/25890103
What's the height of a triangle if we know the base is 20 m and the area is 100 m2? Question 1 options: 5 m 25 m 15 m 10 m
height = 10m
hope it helps...!!!
can you guys please help with this? you get a lot of points i don’t understand the question please
Answer:
The first one i would think might be 0.05? uncertian and probably wrong, the second, HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT, and the third, 3/8.
The way you figure out the third one is you are flipping 3 coins still, and you take all of the options above and there are 8 total and 3 ov them would land you 2 heads and a tail so its a simple 3/8 fraction
Answer:
2. 0.05
3. a) 8 outcomes (listed below)
3. b) 3/8
Step-by-step explanation:
Question 2
The sum of the probabilities of all possible outcomes is 1.
Therefore, if the probability of being on time for class is 0.95, then the probability of NOT being on time for class is:
1 - 0.95 = 0.05
Question 3
a) 8 possible outcomes of flipping 3 coins (H = heads, T = tails):
HHH HHT HTH THH
TTT TTH THT HTT
b)
There are 3 possible ways of flipping 2 Heads and 1 Tail:
HHT HTH THH
Out of a total number of 8 possible outcomes.
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\sf \implies P(2\:Heads\:and\:1\:Tail) = \dfrac38[/tex]
In a parking lot there are only white cars, green cars, and red cars. If one car is selected at random from
the lot, the probability that the selected car would be a green car is 1/6, and the probability that it would
be a red car is 1/8. What is the probability that it would be a white car?
Answer:
17/24 chance for white car
Step-by-step explanation:
We know that there is a 1/6 chance that it will be green and 1/8 that it will be red so whatever's left has to be white. We can just add the fractions that we have and subtract them from one to get the probability of getting a white car.
1/6+1/8=?
Find the lowest common denominator (24)
4/24+3/24=7/24
Subtract it from 1
24/24-7/24=17/24
17/24 chance that it's white
Please answer and have a great day :)
Answer:
180-108=72.
72/3=24.
24x2=48
PLEASE HELP PYTHAGOREAN THEOREM
Answer:
[tex]\sqrt{193}\\[/tex]
Step-by-step explanation:
Therom: A^2+B^2=C^2
12^2=144
7^2=49
144+49=193
√193 since we squared 12 and 7
Hope this helps you and please mark me brainliest!
pls i need the answer rightnow pls pls pls im begging you pls
Answer:
20 -- 300 words
25 -- 600 words
30 -- 900 words
35 -- 1200 words
40 -- 1500 words
50 -- 2100 words
3) 600 words
4) 2100 words
5)No because the formula only accounds for ages between 20 and 50 months.
Brainliest would be appreciated
Step-by-step explanation:
NO LINKS!!!
Find the indicated side for each triangle below:
Problem 5
Apply the Law of Sines
s/sin(S) = r/sin(R)
s/sin(78) = 10/sin(48)
s = sin(78)*10/sin(48)
s = 13.162274
Answer: 13.162274 approximately=============================================================
Problem 6
Use the Law of Sines here as well.
x/sin(X) = y/sin(Y)
x/sin(53) = 6/sin(22)
x = sin(53)*6/sin(22)
x = 12.791588
Answer: 12.791588 approximatelyAnswer:
Sine Rule
[tex]\sf \dfrac{a}{sinA}=\dfrac{b}{sinB}=\dfrac{c}{sinB}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Question 5
[tex]\sf \implies \dfrac{s}{sin(78)}=\dfrac{10}{sin(48)}[/tex]
[tex]\sf \implies s=\dfrac{10sin(78)}{sin(48)}[/tex]
[tex]\sf \implies s=13.16227426[/tex]
s = 13.2 (nearest tenth)
Question 6
[tex]\sf \implies \dfrac{x}{sin(53)}=\dfrac{6}{sin(22)}[/tex]
[tex]\sf \implies x=\dfrac{6sin(53)}{sin(22)}[/tex]
[tex]\sf \implies x=12.79158761[/tex]
x = 12.8 (nearest tenth)
I don’t understand, can anyone help me?
Answer:
Step-by-step explanation:
If x = 0, f(x) = -15.
If f(x) = 27, x = 3.
If a circle has a diameter of 11.5 feet, what is the area?
Answer:
103.87 ft.
In this case, area equals [tex]\pi r^2[/tex]
The diameter is [tex]2r[/tex]
But before worrying about anything else, we must start the problem. Let's do that now.
The first step is to find the broken-down form of the area.
A = [tex]\frac{1}{4} \pi d^2[/tex]
Next, break this equation into a solvable definition.
[tex]\frac{1}{4} * \pi * 11.5[/tex]
Lastly, solve this equation, and round.
[tex]A[/tex] ≈ [tex]103.86891~ft^2[/tex]
What is Y equals 3X +20
Answer:
y = 3x + 20
This is an equation, in slope-intercept form, which represents a the placement of a line. The 3 in the equation represents the slope of the line, and the 20 represents the y-intercept.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each model with the square root equation it represents.
Select all the fractions that are equivalent to each other.
(Choose 2)
[tex]hi \\answer \\the \\question[/tex]
Answer: You should try to multiply and divide try then question me back. But the answers are neither of them.
Step-by-step explanation:
The line 1, has equation 3x + 5y – 2 = 0.
(a) Find the gradient oflı.
Answer:
2
Step-by-step explanation:
because of your options
Write the following in words in international system with comas:
34407615
Answer:
34,407,615
Explanation : 34 millions 407 thousands 615
Write an equation of the line with a slope of -3 and y -intercept of 0 .
y=
Answer:
y=-3x
Step-by-step explanation:
Consider the sequence below:
-9, -6, -1, 6, 15 …
What is the 8th term of the sequence?
What is the value of b?
Answer:
24
Step-by-step explanation:
In triangle STU, line VT bisects angle STU.
-> By angle bisector theorem:
[tex] \frac{67}{2b} = \frac{67}{b + 24} \\ \\ \implies \: \frac{1}{2b} = \frac{1}{b + 24} \\ \\ \implies \: 2b = b + 24 \\ \\ \implies \: 2b - b = 24 \\ \\ b = 24[/tex]
The value of b is 24
What is angle bisector theorem ?
If we consider a triangle TSU, Let the angle bisector of angle T intersect side SU at a point V between S and U. The angle bisector theorem states that the ratio of the length of SV to the length of VU is equal to the ratio of the length of ST to the length of TU.
i.e. [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]
How to find the value of b ?Here, given that, SV = 2b, VU = b+24, ST = TU = 67
∴ [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]
⇒ [tex]\frac{2b}{b+24}=\frac{67}{67}[/tex]
⇒ [tex]\frac{2b}{b+24}=1[/tex]
⇒ 2b = b+24
⇒ b = 24
Hence, b = 24
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#SPJ2
You pick a card at random
1) What is P(3)? ?
Answer:
probability=events over the sample space
Step-by-step explanation:
Tina and Sam are eating from the same pizza Tina eats 1/4 of the pizza and Sam eats 1/2 of the pizza how much of the pizza did they eat together
Step-by-step explanation:
The amount of pizza Tina eat
[tex] = \frac{1}{4} \\ [/tex]
The amount of pizza Sam eat
[tex] = \frac{1}{2} \\ [/tex]
The amount of pizza they eat together
[tex] = \frac{1}{2} + \frac{1}{4} \\ [/tex]
[tex] = \frac{1}{2} \times \frac{2}{2} + \frac{1}{4} \times \frac{1}{1} \\ [/tex]
[tex] = \frac{2}{4} + \frac{1}{4} \\ [/tex]
[tex] = \frac{2 + 1}{4} \\ [/tex]
[tex] = \frac{3}{4} \\ [/tex]
A triangular prism has a triangular end with a base of 9 inches and a height of 7 inches.
The length of each side of the triangle is 9 inches and the width of the entire prism is 7 inches.
What is the surface area of the prism?
HELP
Answer:
259.15
Step-by-step explanation:
Help picture below problem 10
Answer:
E. APR
I hope this is what u want because I didn't quite get it is it like name the angle as like acute or obtuse or what
What is the area of this figure?
Answer:
Area=length×width
=12m×15m
=180m
so,the area is 180.
hope it helps!