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Mice21 [21]
3 years ago
12

A ladder is 6 m long.

Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0

Answer:

5.8 m

Step-by-step explanation:

Using the Pythagorean Theorem (a² + b² = c²) you get the equation a² + 1.5² = 6² (or 1.5² + b² = 6²). Then you solve from there and rounding to the first decimal place you get 5.8

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brenda savings account principal 850, 5.5% annual interest rate and is compounded quarterly for 1 year. what is the compound int
Sedbober [7]
A = $ 861.69

Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year,
putting time into years for simplicity,
1 quarters ÷ 4 quarters/year = 0.25 years,
then, solving our equation

A = 850(1 + (0.055 × 0.25)) = 861.6875 
A = $ 861.69

The total amount accrued, principal plus interest,
from simple interest on a principal of $ 850.00
at a rate of 5.5% per year
for 0.25 years (1 quarters) is $ 861.69.
3 0
3 years ago
Point B is on line segment AC. If AB = x + 6, BC = x + 8 and AC = 10, then find the value of x.
kumpel [21]

Step-by-step explanation:

this simply means that the sum of both short segments must be the same as the length of the whole line.

so,

x + 6 + x + 8 = 10

2x + 14 = 10

x + 7 = 5

x = 5 - 7 = -2

7 0
2 years ago
What’s the total value of the 6 in 26,312
Orlov [11]
The total value is 6,000
5 0
3 years ago
Read 2 more answers
By what percent will the product of two numbers change, if the first number increases by 70%, while the second number decreases
FinnZ [79.3K]

Answer:

2%

Step-by-step explanation:

Let x be the first number

It increases by 70 %

The new number is

m = x+ .70x

   = 1.7x

Let y be the second number

It decreases by 40 %

The new number is

n =y - .40 y

  = .6y


The product of the original numbers is xy

The product of the new number is

mn = (1.7x * .6y) = 1.02xy

The new number is larger than the old number so it is an increase.

Percent increase is  new - original divided by original  times 100%

Percent increase = (1.02 xy - xy)

                                -----------------  * 100%

                                 xy  

                           = .02 xy

                                ------- * 100 %

                                 xy  

                            = .02 * 100 %

                             = 2%



5 0
3 years ago
Carol noticed that 7/10 of the children playing soccer were girls. Which statement could be correct?
Maslowich
<span>Carol noticed that 7/10 of the children playing soccer were girls. Which statement could be correct?
A. There were 28 girls and 12 boys playing soccer.
28 : x% = 40 (the total number of children) : 100%
40x = 28 * 100
40x = 2800
x = 2800 / 40
x = 70%
There were 70% of girls in the class.
70 / 100 = 0.7
7/ 10 = 0.7
This is why A is the correct answer.

</span>
7 0
3 years ago
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