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Question: The time is 1 o'clock. What are the next two times at which the hour and minute hands will be perpendicular?

Answers

Answer 1

The next two times at which the hands of the clock will be perpendicular are at 1:20 and at 1:50.

When will the hands be perpendicular?

The two hands will be perpendicular when the angle between them is 90°. Remember that every 5 minutes that the minute clock moves, there is an angle of 30°.

Each hour that the hour hand moves, there is an angle of 30°.

The first time that we will have an angle of 90° between the hands is at:

1:20

Because the minute hand is at an angle of -30° with respect to the x-axis at 20 minutes, and the hour hand is at an angle of 60° at 01.

The next time will be when the minute clock moves another 30 minutes (half the circle) and this will be at 01:50.

If you want to learn more about angles, you can read:

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Related Questions

Latoya just bought a refrigerator for $931. She paid $139.80 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment?

Answers

Answer:

$197.80

Step-by-step explanation:

$931.00 - $139.80 = $791.20

$791.20 / 4 equal installments = $197.80

If a fair coin is tossed 6 times, what is the probability, to the nearest thousandth, of getting exactly 6 tails?

Answers

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

[tex]The\ probability\ of\ tails\ per\ flip\ is\ \frac{1}{2}[/tex]

[tex]so\ the\ probability\ of\ getting\ six[/tex]

[tex]tails\ is[/tex]

[tex]\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{64}[/tex]

[tex]The\ probability\ of\ getting\ tails\ every[/tex]

[tex]time\ you\ multiply\ them\ is\ the[/tex]

[tex]probobility\ of\ getting\ tails\ all\ six[/tex]

[tex]times?[/tex]

I hope this helps you

:)

A Triangle has a perimeter of 80 feet. If the three sides of the triangle are, n, 3n + 7, and 3n + 3, what is the length of each side?​

Answers

Answer:

Step-by-step explanation:

Givens

Perimeter = 80 feet

side 1 = n

side 2 = 3n + 7

side 3 = 3n + 3

Formula

Side 1 + side 2 + side 3 = 80

Solution

Substitute the length for each side into the equation

n + 3n + 7 + 3n + 3 = 80

7n +10 = 80                            Subtract 10 from both sides

7n + 10 - 10 = 80 - 10             Combine

7x = 70                                   Divide by 7

7x/7 = 70/7                             Combine

x = 10

Answer

Side 1 = n = 10

Side 2 = 3n + 7 = 3*10 + 7 = 37  

Side 3 = 3n + 3 = 30 + 3 = 33

A group of researchers wants to estimate the difference in time it takes to heal enough to return to work after knee replacement surgery using two different physical therapy plans. They plan to use the data in the following table to construct a two-sample t interval.

Therapy plan A B
Mean healing time (weeks) 8.2 6.8
Standard deviation (weeks) 1.5 0.9
Number of participants 45 60

Which of the following are conditions for this type of interval?

Choose all answers that apply:


A. The times for each participant are independent of each other.


B. The distributions of times in the population are approximately normal.


C. Each sample includes equal numbers of men and women.

Answers

Answer:

A

Step-by-step explanation:

Got it right on Khan Academy.

Hope this helps!

Please mark as brainliest!

A cup contains 438 grams of sand. A bucket contains 2,120 grams of sand.

How many more grams of sand are in the bucket than the cup?

Answers

The bucket that contains 2120 grams of sand and a cup that contains 438 grams of sand , the bucket of sand has 1682 grams of sand than the cup of sand in the cup.

How to calculate difference in mass?

A cup contains 438 grams of sand. A bucket contains 2120 grams of sand.

Therefore, the number of more grams of sand in the bucket than the cup is as follows:

mass of sand in cups = 438 grams

mass of sand in the bucket = 2120 grams

Therefore,

difference in mass = 2120 - 438

difference in mass = 1682 grams

Therefore, they are 1682 grams of sands in the bucket than the cup.

learn more on mass(grams) here: https://brainly.com/question/12843854

can someone help me with this I already answered half of all of them but I need to make sure It's right?

Answers

Answer:

of 34.576:

34.576 = (3 * 101) + (4 * 100) + (5 * 1/101) + (7 * 1/102) + (6 * 1/103)

34.576 = (3 * 10) + (4 * 1) + (5 * 1/10) + (7 * 1/100) + (6 * 1/1,000)

34.576 = 30 + 4 + 5/10 + 7/100 + 6/1,000

34.576 = 30 + 4 + 0.5 + 0.07 + 0.006

Step-by-step explanation:

That is 34.576 in expanded form, so know you can know which is correct


How do I find the volume?

Answers

Answer:

150m^3

Step-by-step explanation:

The formula for the volume a triangular prism, like the one you have, is 1/2 base x height. For your prism the volume would be 1/2 (30 x 10) which equals 150. Now just add the measurment m (meters) and you're set.

3
Andre sold 43 magazines at his mom's work, 32 at his dad's work, 18 around his
neighborhood, and 3 at home. What is the mean of the magazines he sold?

Answers

Answer:

The mean is 24 ( I think)

Step-by-step explanation:

SO in all, there were 96 magazines sold. So if there are just those 4 categories divide the 96 by 4. 96 divided by 4 = 24.

The mean of magazines he sold is 24

Please help with this

Answers

Answer:

1) the quadratic formula2) factoring (zero product property)

Step-by-step explanation:

1) using quadratic formula

(b)² - 4ac  ----(always write the formula)

3 ( 4x + 1 )² - 5 =25

(12x + 1)² - 5 = 25 (using (a+b)^2)

144x² + 24x +1 - 5 = 25

144x²+ 24x - 4 = 25

144x² + 24x =29

144x² + 24x - 29= 0 (thus, formed and equation)

A=144, b= 24, c= -29

(24)² - 4(144 X -29)

576 - 4 X -4176

576 + 16704=0

17280>0, therefore it has 2 distinct real roots

2) x²-8x+12=0

sum= -8, product= 12

-2,-6

so,

x²-2x -6x + 12

x ( x - 2 ) -6 ( x - 2 )

(x-2) (x-6)

X= 2, 6

Hope it is correct and helpful

Stay safesorry for the late answer

(10) The population of bacteria an experiment can be modeled by d p(d)= 400(1.56)^d , where d is the number of days the population has been growing.

(a) Find the average rate the population has been growing over the interval 0≤d≤7.
Round to the nearest integer and include appropriate units.

(b) If the population of bacteria was modeled as a function of the number of hours, h,
such that h p(h)= 400b^h then what would be the value of b to the nearest thousandth?
Show or explain how you found your answer.

Answers

The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Let p represent the population of the bacteria after d days.

[tex]P(d)=400(1.56)^d\\\\P(7)=400(1.56)^7=8994\\\\P(0)=400\\\\\\Average\ rate\ of\ change=\frac{P(7)-P(0)}{7-0}=\frac{8994-400}{7-0} =1228[/tex]

b) 24 hours = 1 day, hence:

[tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]

The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]

Find out more on exponential function at: https://brainly.com/question/12940982

A right rectanular prism has a length of 2 a width of 4 and a height of 5. How many unit cubes can fit in the prism

Answers

Answer:

40

Step-by-step explanation:

4 x 2 = 8 x 5

l x w x h

or

Bxh

8) Which table shows a proportional relationship between x and y?
1
y
1
4
2
3
4
8
4
6
10
с
12
8
А
9
16
14
16
12
22
20
20
15
28
x
3
.
y
5
1
12
6
10
2
14
12
D
w N
B
15
16
18
18
4
24
20
20
30
25
5
9 Danielle constructs a scale model of a building with a rectangular base. Her model

Answers

Answer:

  D

Step-by-step explanation:

A table shows a proportional relationship if all of the y/x ratios are the same.

  A: 4/3 ≠ 10/6 . . . . not proportional

  B: 6/12 ≠ 12/14 . . . . not proportional

  C: 2/4 ≠ 20/20 . . . . not proportional

  D: 1/5 = 2/10 = ... = 5/25 . . . . proportional relationship

Answer:

D

Step-by-step explanation:

1*5=5

2*5=10

3*5=15

4*5=20

5*5=25

Which number is a common multiple of 2 and 3?

A) 8
B) 16
C) 28
D) 36

Answers

Answer:

D

Step-by-step explanation:

36 can be divided by both 2 & 3

Answer:

The answer is D.

Step-by-step explanation:

2x18=36

3x12=36

The numbers 4 through 14 are placed in a bowl and drawn at random then replaced after being drawn.What is the probability that you will choose an even number

Answers

Answer:

The probability is probably about 55%

Step-by-step explanation:

Some pens are shared among three students anne,lucy, and John.Anne gets 5 times many pens as lucy, and lucy gets 2 pens less than john. Suppose John gets x pens, how many pens does anne get in terms of x

Answers

Using a system of equations, it is found that Anne gets 5x - 10 pens.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, we consider that John gets x pens.

Lucy gets 2 pens less than john, hence:

L = x - 2.

Anne gets 5 times many pens as lucy, hence:

A = 5L = 5(x - 2) = 5x - 10.

More can be learned about a system of equations at https://brainly.com/question/24342899

The problem is write you answer using ONLY positive exponents

Answers

Answer:

z^10/z^5 = z^5

Step-by-step explanation:

if it is divide, you minus, so z^10/z^5 is z^5.

Help help help math math

Answers

Answer:

>

Step-by-step explanation:

Negative is that amount below zero. For example -3 is 0 - 3. This means that since -3 is 3 less than 0, -3 < 0. This can also be said as 0 > -3.

Answer:

Answer: 0 (> )-3

Step-by-step explanation:

Hope it helps

3⋅2t
a. Evaluate the expression when t is 1.

b. Evaluate the expression when t is 4.



pls hurry its due in 5 mins

Answers

Answer:

Step-by-step explanation:

a) substitute t = 1 in the expression

3 - 2t = 3- 2*1

          = 3 - 2

          = 1

b) substitute t = 4 in the expression

3 - 2t = 3 - 2*4

         = 3 - 8

         = (-5)

Please help I'll mark brainliest. ​

Answers

Answer:

I believe the answer is class 3 because each number of boys and girls goes into class 3.

Answer: Class 3.

Step-by-step explanation: Answers with a 1 to 2 ratio have ratios like 4 to 8, or 5 to 10.  Class 3 is the only one with a 1 to 2 ratio, which is 7 to 14, with 7 being the number of girls in that class and 14 being the number of boys in that class.  Class 1 has a 1 to 1 ratio, class 2 has a 2 to 1 ratio, and class 4 has a different ratio than all the rest, so that's why all of those are wrong. Therefore, class 3 is your answer.

Have a great day! :)

On average five birds hit the Washington Monument and are killed each week. Joe, an
official, has requested that Congress allocate funds for equipment to scare birds away
from the monument. A congressional subcommittee has replied that funds cannot be
allocated unless the probability of more than three birds being killed in any week
exceeds 70%. Will funds be allocated?

Answers

Answer:

Yes

Step-by-step explanation:

An average of five birds hit the monument each week and in order to receive the funds, more than three birds have to be killed in a week

If you bought 28 shares of stock at $30/sh and sold them at $25/sh. And How much did you net after selling the shares? Was it a profit or a loss?

Answers

Answer:

selling price$840

it's a loss.

Step-by-step explanation:

cost price = 28× 30 = $840

selling prince =25×28=$700

since cost price is bigger than selling price, it's a loss.

An investor just purchased a rectangular 1-acre retail lot for $250 a frontage foot. If she paid $100,000 total, what was the depth of the lot?

Answers

The answer is 218’. A foot front is measured by property. So for this question, you need to find the frontage feet.

can someone please help me

Answers

Answer:

x = 49

Step-by-step explanation:

corner point b = 41

d = right angle ( 90 )

90 + 41 = 131

180- 131 = 49

x = 49

p.s

im not sure if d is a right angle if it is not please inform me.

What are the x-intercepts of this conic section?



no x-intercepts

(−1, 0) and (1, 0)

(0, −2) and (0, 2)

(0, −1) and (0, 1)

Answers

Using it's concept, it is found that the conic section has no x-intercepts.

What is a x-intercept of a function?


A x-intercept of a function is given by the value of x when y = 0. On a graph, it is the value of x when the function crosses the x-axis.

In this problem, the conic section given in the graph does not cross the x-axis, hence it has no x-intercepts.

More can be learned about x-intercepts at https://brainly.com/question/24737967

please help brainliest included for honest attempt
Think of two different technological innovations that occurred in the last 50 years: one that relied largely on innovations within a specific technology (for example, the upgrades that smartphones have seen over the years) and one that relied largely on knowledge or skills that came from a field of technology that was distinct from the main field that innovation deals with (for example, video games that use technology originally designed for navigation). Briefly describe each innovation and what inspired it, then compare the innovations: for example, which innovation seems more of an incremental improvement versus a paradigm-shift in its field? Which one do you think was more widely used in the five years after it was invented? Which one most inspired other innovations?

Answers

Answer:

The Electric Car

The Cell Phone

The GPS

DNA Testing

3D Printing

What is the center and radius of the circle?
(x-3)2 + y² = 4

Answers

Answer:

center = (3, 0)

radius = 2

Step-by-step explanation:

Standard equation of a circle:  [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Given equation:

[tex]\sf (x-3)^2+y^2=4[/tex]

Rewrite in standard form:

[tex]\sf \implies (x-3)^2+(y-0)^2=2^2[/tex]

Therefore

center = (3, 0)radius = 2

What is x in "5x + (x+12)+(2x+4)"

Answers

Answer:

[tex]\rightarrow \boxed{\sf{8x+16}}[/tex]

Step-by-step explanation:

You have to isolate the term of x from one side of the equation.

Distributive property:

A(B+C)=AB+AC

5x+(x+12)+(2x+4)

5x+(x+12)+(2x+4)=5x+x+12+2x+4

5x+x+12+2x+4

Group and combined like terms.

5x+x+2x+12+4

Add the numbers from left to right.

12+4=16

Rewrite the problem down.

5x+x+2x+16

Then, you solve.

5x+x=6x

6x+2x=8x

8x+16

As a result, the final answer is 8x+16.

I hope this helps you! Let me know if my answer is wrong or not.

10ft,10ft,4ft what is the area

Answers

Answer:

400 ft sq

Step-by-step explanation:

Area = Length x Width x Height

10 x 10 x 4

100 x 4

400

Have a great day!!

Please rate and mark brainliest!!

400 ft^2………………………………

This practice contains 15 questions. If you get 3 incorrect, what will your percent grade be? Hint: Grades are based on correct questions/total questions.

A. 30%
B. 0.8%
C. 20%
D. 80%

Answers

Answer:

D. 80%

Step-by-step explanation:

15-3 = 12

12/15 = 4/5 = .8

80%

The ingredients for your skillet brownie cost $1.89. You want your food cost percentage for this item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.

choices:
a.
$5.98

b.
$6.00

c.
$5.67

d.
$6.30​

Answers

Answer:

Your want your food cost forthis item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.

1 answer

·

1 vote:

$2 / 0.3 = $6.67Check:$6.67 * 0.3 = $2 :)

Missing: choices: ‎$5.98 ‎$6.00 ‎c. ‎$5.67 ‎d. ‎$6.30​

Step-by-step explanation:

The lowest price you can charge is $6.30

How to determine the cost?

We have:

Skillet brownie = $1.89Percentage of food cost = 30% or lower

The lowest price you can charge is calculated as:

Lowest = Skillet brownie/Percentage

This gives

Lowest = $1.89/30%

Evaluate

Lowest = $6.30

Hence, the lowest price you can charge is $6.30

Read more about percentages at:

https://brainly.com/question/843074

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