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Lapatulllka [165]
3 years ago
6

Someone help please

Mathematics
2 answers:
disa [49]3 years ago
8 0

Answer:

19.20937271 or 19

Step-by-step explanation:

15^2 + 12^2 = 369

\sqrt{369} = 19.20937271

timofeeve [1]3 years ago
3 0

Answer:

19.2

Step-by-step explanation:

a^2+b^2=c^2

15^2+12^2=c^2

225+144=c^2

369=c^2

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In the coordinate plane, what is the length of the line segment that connects points at (5,4) and (-3,-1)
baherus [9]

Answer:

9.434 units

Step-by-step explanation:

Given data

points (5,4) and (-3,-1)

x1= 5

y1= 4

x2= -3

y2= -1

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-3-5)²+(-1-4)²)

d=√((-8)²+(-5)²)

d=√64+25

d=√89

d=9.4339

d= 9.434 units

Hence the distance between the points is 9.434 units

8 0
3 years ago
Which equation has a graph that is a parabola with a vertex at (–1, –1)?
Artist 52 [7]

Answer:

y=(x+1)^2-1

which agrees with the last option listed.

Step-by-step explanation:

We use the vertex form of a parabola:

y-y_v=a(x-x_v)^2

which with the information we have becomes:

y-y_v=a(x-x_v)^2\\y-(-1)_v=a(x-(-1))^2\\y=a(x+1)^2-1

Therefore the equation that corresponds to such vertex (-1, -1) is the last one listed among your given answer options.

y=(x+1)^2-1

3 0
3 years ago
Read 2 more answers
In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days. What length o
Vaselesa [24]

Answer:

A gestation length of 279 days represents the 18th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days.

This means that \mu = 284, \sigma = 5.5

What length of gestation, rounded to the nearest whole number, represents the 18th percentile?

This is X when Z has a pvalue of 0.18. So X when Z = -0.915.

Z = \frac{X - \mu}{\sigma}

-0.915 = \frac{X - 284}{5.5}

X - 284 = -0.915*5.5

X = 279

A gestation length of 279 days represents the 18th percentile.

8 0
3 years ago
At the market light bulbs cost $5 how much do 7 light bulbs cost
kobusy [5.1K]

Answer:

35 thx

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
A helicopter takes off from the ground 800 feet from the base of a building. It flies in a straight line directly to the top of
Stolb23 [73]

Answer:

11.3°

Step-by-step explanation:

Refer the attached figure .

Height of building i.e. AB = 160 feet.

A helicopter takes off from the ground 800 feet from the base of a building i.e. BC = 800 ft.

We are required to find what angle did the helicopter take off from i.e. ∠ACB

We will use trigonometric ratio .

tan\theta = \frac{Perpendicular}{Base}

tan\theta = \frac{AB}{BC}

tan\theta = \frac{160}{800}

tan\theta = \frac{1}{5}

tan\theta = 0.2

\theta =tan^{-1} 0.2

\theta =11.3^{\circ}

Thus the  angle at which  the helicopter take off from is 11.3°

3 0
4 years ago
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