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inn
14 days ago
9

lorenzo rides his bike at a rate of 5 yards per second. about how many miles per hour can lorenzo ride his bike

Mathematics
1 answer:
Inessa [9K]14 days ago
5 0
Could you please provide the answer options?
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Two window washers start at the heights shown. (A: 21 ft high rising 8 in per second. The other is 50 feet high descending 11inc
Leona [9271]

To address this problem, let's start by formulating the general motion equation along the vertical direction.

This gives us:

h = \frac {1} {2} gt ^ 2 + vo * t + h0

Where,

  • g: gravitational acceleration
  • vo: initial velocity
  • h0: starting height

For the first individual:

h1 = \frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21

For the second individual:

h2 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50

When both individuals reach the identical altitude, the following holds:

h1 = h2\\

\frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50

Rearranging results in:

\frac {8} {12} * t + 21 = - \frac {11} {12} * t + 50

\frac {8} {12} * t + \frac {11} {12} * t = 50 - 21

\frac {19} {12} * t = 29

Solving for time:

t = 29 (\frac {12} {19})\\t = 18.31s

Result:

The two window washers reach the same height after 18.31 seconds.

6 0
1 month ago
Read 2 more answers
600 can be written as 2a x b x cd where a,b,c and d are all prime numbers find the values of a, b, c and d
AnnZ [9104]
For the number 600, its prime factorization is represented as follows: 600 = 2 \times 2 \times 2 \times 3 \times 5 \times 5 = 2^3 \times 3 \times 5^2. Consequently, the values are a = 3, b = 3, c = 5, and d = 2.
4 0
19 days ago
A square rotated about its center by 360º maps onto itself at: a) 1 B) 2 C) 3 D) 4 different angles of rotation. You can reflect
PIT_PIT [9121]

Answer: A square that undergoes rotation around its center by 360º aligns with itself at D) 4 distinct angles during the process. Furthermore, a square can be reflected onto itself over B) 4 various lines.

Explanatory breakdown:

A square is a geometric shape characterized by equal-length sides and right angles ( 90^{\circ} ).

Thus, it is capable of being rotated around its center by 360^{\circ}.

It reverts to its original outline at 4 unique rotation angles ( at every 90^{\circ} angle).

The square can also be reflected onto itself across 4 lines (2 through the non-parallel sides and 2 through the corners).

4 0
1 month ago
Read 2 more answers
9,16=7 <br> 4,36=8 <br> 121,81=20 <br> 25,49=?
PIT_PIT [9121]

Response:

12.

Step-by-step explanation:

We have been given a format for various numbers. Our task is to discover the missing value for our specified format.

9,16=7

Taking the square root of 9 and 16 results in

\sqrt{9}=3

\sqrt{16}=4

3+4=7

Moreover, it can be observed that by computing the square root of all figures on the left side of the equation and summing them, we arrive at the right side.

\sqrt{4}=2

\sqrt{36}=6

2+6=8

\sqrt{121}=11

\sqrt{81}=9

11+9=20

Upon extracting the square roots of 25 and 49 we deduce,[TAG_48]]

\sqrt{25}=5

\sqrt{49}=7

5+7=12

Therefore, the missing number in our sequence is 12.

5 0
6 days ago
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Caleb invested $8700 in a savings account with a yearly interest rate of 3% for 7 years. How much simple interest did he earn?
Inessa [9006]
Simple interest calculation
i = prt
where i represents the interest earned, p is the principal (the initial amount invested), r indicates the annual interest rate, and t stands for the duration in years.

i = prt

i = 8700 * 0.03 * 7

i = 1827

Answer: B. $1827
4 0
20 days ago
Read 2 more answers
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