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vodka [1.7K]
3 years ago
5

A ladder leans against the side of a house. The top of the ladder is 2 m from the ground. The bottom of the ladder is 2 m from t

he side of the house. Find the length of the ladder. If necessary, round your answer to the nearest tenth.

Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

so length of ladder is 2.8 m.

Step-by-step explanation:

Since its a right angled triangle, use pythagoras theorem

Now

h² = p² + b²

or, h² = 2² + 2²

or, h² = 4 + 4

or, h² = 8

h =  \sqrt{8} \\ so \: h \:  = 2 \sqrt{2}  \\ h \:  = 2.84

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Write the expression (−2)·(−2)·7·7·7·7·7 using exponents.
NeTakaya

Answer:(-2)^{2}*7^{5}

Step-by-step explanation:

You have to group all of the same one's together and however many there is, you add that number as the exponent.

There were 2 "(-2)" so that became (-2)^{2}, and there were 5 "7" so that became 7^{5}. You keep the symbol and put it together which became (-2)^{2}*7^{5}

5 0
3 years ago
A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the followin
maks197457 [2]

Answer:

(a) \sum x_i=56.68 and \sum x_i^2=197.46

(b) The sample variance is s^2=0.530 and the sample standard deviation is s=0.728

Step-by-step explanation:

(a)

The sum of these 17 sample observations is

\sum x_i=2.79\:+2.57+\:2.73\:+3.75\:+2.27+\:2.75+\:4.00+\:4.22+\:3.88+\:4.35+\:3.41+\:4.57+\:2.38+\:3.73\:+2.75+\:3.47+\:3.06\\\\\sum x_i=56.68

and the sum of their squares is

\sum x_i^2=2.79^2\:+2.57^2+\:2.73^2\:+3.75^2\:+2.27^2+\:2.75^2+\:4.00^2+\:4.22^2+\:3.88^2+\:4.35^2+\:3.41^2+\:4.57^2+\:2.38^2+\:3.73^2\:+2.75^2+\:3.47^2+\:3.06^2\\\\\sum x_i^2=197.46

(b)

The sample variance, denoted by s^2, is given by

s^2=\frac{S_{xx}}{n-1}

where S_{xx} =\sum x_i^2-\frac{(\sum x_i)^2}{n}

Applying the above formula we get that

S_{xx}=197.46-\frac{(56.68)^2}{17}\\\\S_{xx} =8.482

s^2=\frac{8.482}{17-1}=0.530

The sample standard deviation, denoted by <em>s</em>, is the (positive) square root of the variance:

s=\sqrt{s^2}

Applying the above formula we get that

s=\sqrt{0.530}=0.728

3 0
3 years ago
Find each Unit rate:
raketka [301]
The unit rate is 2.5 meters in 1 second 

40/16=2.5 
5 0
3 years ago
Read 2 more answers
Please help me with this math question
Neko [114]

Answer:

C .56

Step-by-step explanation:

well thier are 5 days that are less then 3 days and theirs 9 days in total so you would do 5/9  to get the chance of it being less then 3 days.

5/6 = .555556

3 0
3 years ago
Suppose a rope is nailed to a pole 35 meters above the ground and extended away from the base of the pole. The distance from the
motikmotik

Answer:

B.  \:  \boxed{66.8}

Step-by-step explanation:

to \: solve \: this \: little \: poblem : we \:apply \: the \: pythagrean \: rule \to \\  \boxed{SOH} \boxed{CAH} \boxed{TOA} \to \\ we \: are \: been \: given :  \to \\ the \:  \boxed{opp }\: of \: the \: required \: angle \:  = 35. \\ the \:  \boxed{adj }\: of \: the \: required \: angle \:  = 15. \\  now \: lets \: apply \: \boxed{TOA}\to \: \tan( \theta)  =  \frac{opp}{adj}   \to\\  \tan( \theta)  =  \frac{opp}{adj}  =  \frac{35}{15}  = 2.3333333333 \\  \theta =  \tan {}^{ - 1} (2.3333333333)  \\   \boxed{\theta = 66.80}

♨Rage♨

6 0
3 years ago
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