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3 years ago

one end of a ten- foot ladder is four feet from the base of a wall . how high on the does the top of the ladder touch ??

Mathematics

1 answer:

Jet001 [13]3 years ago

8 0

Answer:

9,2 feet

Step-by-step explanation:

Use the Pythagorean theorem: height= sqrt(10^2-4^2)= sqrt(84) =9,2 ~

sqrt Is Square root btw

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Which descriptions about simple interest and yearly compounded interest are true? Check all that apply. Only compound interest h

pychu [463]

Answer:

Only compound interest has an exponent in its formula.
Simple interest is only earned on the original principal investment.
Compound interest is earned on principal and interest.

Step-by-step explanation:

The above statements are self-explanatory.

The one statement that can be argued is ...

"Compound interest earns more money than simple interest at the same rate for the same amount of time."

This is true for time periods <em>longer than the initial compounding interval</em>. If interest is compounded annually, the amount of simple interest and compound interest <em>will be the same for the first year</em>. After that, the compound interest account earns more, because interest is paid on interest and principal, not just principal.

4 0

3 years ago

Read 2 more answers

A football team loses 4 yards on one play and 7 yards on another play. Write a sum of negative integers to represent this situat

Shtirlitz [24]

Answer:

-11 yards

Step-by-step explanation:

the first loss is represented by -4 and the second loss is represented by -7.

The sum of negative numbers will be:

(-4) + (-7) = -11

3 0

3 years ago

Given the coordinates A (5, 7, -2) and B (8, 3, 4) in 3d space, express AB as:

lys-0071 [83]

The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)

(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)

=>

a) a 3 x 1 column =

| 3 |
| -4 |
| 6 |

b) xi + yj + zk

=> 3i - 4j + 6k

4 0

3 years ago

If the average yield of cucumber acre is 800 kg, with a variance 1600 kg, and that the amount of the cucumber follows the normal

lorasvet [3.4K]

Answer:

The percentage is

$P(x_1 < X < x_2 ) = 51.1 \%$

The probability is $P(Z > 2.5 ) = 0.0062097$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 800$

The variance is $var(x) = 1600 \ kg$

The range consider is $x_1 = 778 \ kg \ x_2 = 834 \ kg$

The value consider in second question is $x = 900 \ kg$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{var (x)}$

substituting value

$\sigma = \sqrt{1600}$

$\sigma = 40$

The percentage of a cucumber give the crop amount between 778 and 834 kg is mathematically represented as

$P(x_1 < X < x_2 ) = P( \frac{x_1 - \mu }{\sigma} < \frac{X - \mu }{ \sigma } < \frac{x_2 - \mu }{\sigma } )$

Generally $\frac{X - \mu }{ \sigma } = Z (standardized \ value \ of \ X)$

$P(x_1 < X < x_2 ) = P( \frac{778 - 800 }{40} < Z< \frac{834 - 800 }{40 } )$

$P(x_1 < X < x_2 ) = P(z_2 < 0.85) - P(z_1 < -0.55)$

From the z-table the value for $P(z_1 < 0.85) = 0.80234$

and $P(z_1 < -0.55) = 0.29116$

$P(x_1 < X < x_2 ) = 0.80234 - 0.29116$

$P(x_1 < X < x_2 ) = 0.51118$

The percentage is

$P(x_1 < X < x_2 ) = 51.1 \%$

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

$P(X > x ) = P(\frac{X - \mu }{\sigma } > \frac{x - \mu }{\sigma } )$

substituting values

$P(X > x ) = P( \frac{X - \mu }{\sigma } >\frac{900 - 800 }{40 } )$

$P(X > x ) = P(Z >2.5 )$

From the z-table the value for $P(Z > 2.5 ) = 0.0062097$

7 0

3 years ago

2.Pleas can someone answer!

kenny6666 [7]

Answer: A, A, C

Step-by-step explanation:

Educated Guess because none of them are going to be zero so it's either A or C but the point has a negative y so to plug it all in all of them have to be negative ex. -1 + -1 + -1 =-3

the x is -1 so both have to be negative in order to get -3

5 0

3 years ago

one end of a ten- foot ladder is four feet from the base of a wall . how high on the does the top of the ladder touch ??​

one end of a ten- foot ladder is four feet from the base of a wall . how high on the does the top of the ladder touch ??