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2 years ago

a man casts a 3 feet long shadow. if the suns rays strike the ground 62°, what is the height of the man?

Mathematics

1 answer:

Romashka [77]2 years ago

7 0

Answer:

h = 3*tan(62) where h is the height

Step-by-step explanation:

You basically have a right triangle. the standing man is the vertical line, the shadow is the horizontal line and the 62 degrees is the angle betweenthe horizontal line and the hypotenuse.

So, relative to the angle we have the adjacent angle and opposite. What uses those? Tangent. tan(x) = opp / adj

tan(62) = h/3

h = 3*tan(62) where h is the height

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In a pie chart the central angle in degrees at the center of the circle is a) 180 b) 360 c) 270 d) 90

klasskru [66]

Answer:

(b) 360 degrees

Step-by-step explanation:

Required

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2 years ago

Alexis washes 10 1/2 windows in 3/4 hour. At this rate, how many windows can she wash in one hour?

sleet_krkn [62]

(10 1/2 ÷ 3 )x4= 14

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2 years ago

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Based on a random sample of 25 units of product X, the average weight is 102 lbs., and the sample standard deviation is 10 lbs.

Alex

Answer:

Step-by-step explanation:

Given that for a sample size of 25, sample mean = 102 lbs. and sample std deviation = 10 lbs.

$H_0: \bar x = 100\\H_a: \bar x >100$

(Right tailed test)

Given that we assume population is normally distributed

Test statistic:

Mean difference = +2

Std error of sample = $\frac{10}{\sqrt{25} } =2$

t = test statistic = Mean diff/Std error $= 1$

degree of freedom $= n-1 =24$

Critical value of t = 1.711

Our test statistic >1.71

Accept alternate hypothesis

Because there is significant difference between the test statistic and test statistic lies above critical value.

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2 years ago

Y=2 when x=8<br> &<br> y=-3 when x=1

Natasha_Volkova [10]

Y=k/x is inverse

y=2
x=8
2=k/8
times 8
16=k
the equation is
y=16/x

second

y=k/x
-3=k/1
-3=k

the equation is y=-3/x

they are
for y=2, x=8 it is y=16/x
and for y-3, x=1 it is y=-3/x

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2 years ago

Savannah planned to evenly disperse 400400400 chocolate chips among the xxx pans of brownies. Unfortunately, the last pan of bro

alukav5142 [94]

For this case, the first thing we must do is define a variable:
x: total of pans of brownies.
We now write the expression for the last pan of brownie.
We have then:
y = 400 / x - 32
Answer:
an expression to find How many chocolate chips are in the last pan of brownies is:
y = 400 / x - 32

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3 years ago

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