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padilas [110]
2 years ago
5

Name the vertex of angle 6.

Mathematics
1 answer:
amid [387]2 years ago
8 0

Answer:

D

Step-by-step explanation:

∠ 6 is formed by the 2 lines that intersect at D

then the vertex of ∠ 6 is D

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A skyscraper is 396 meters tall. At a certain time of the day, it's casts a shadow that is 332 meters long. At what angle is the
emmasim [6.3K]

Answer:

56.96°

Step-by-step explanation:

The set up will give a right angles triangle where;

The height of the sky scraper = hypotenuse side = 396m

The length of the shadow will be the opposite = 332m

According to the SOH trig identity

sin theta = opp/hyp

sin theta = 332/396

sin theta = 0.8383

theta = arcsin 0.8383

theta = 56.96°

Hence the sun is at 56.96° above the horizon

6 0
3 years ago
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An architect makes a model of a new house with a patio made with pavers. In the model, each paver in the patio is 1/3 in. long a
ladessa [460]

Answer:

The constant of proportionality between the actual dimensions of the pavers and the model is 9.


The proportionality constant for the area is 81.

Step-by-step explanation:

To solve this problem, let's transform all quantities to the same units (inches)


The actual dimensions of the pavers are:


Width = \frac{1}{8} ft * \frac{12in}{1 ft} = \frac{3}{2} in\\\\ Length = \frac{1}{4} ft * \frac{12in}{1 ft} = 3in


Then we divide the real dimensions between those of the model:


Width:


\frac{\frac{3}{2}}{\frac{1}{6}}= 9

Long =


\frac{3}{\frac{1}{3}}= 9



Then, the constant of proportionality between the actual dimensions of the pavers and the model is 9.


Actual length = model length * (9)


The "A" area of a paver is the product of its width multiplied by its length.


So:


(real width) * (real length) = ((9) Model width) * ((9) model length)


(real width) * (real length) = 9 ^ 2 * (Model width) * (model length)


(real area) = 81 * (Model area)


The proportionality constant for the area is 81.


4 0
3 years ago
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The masses of the oranges on sale at a farm stand are normally distributed with a mean of 239 grams and a standard deviation of
AleksAgata [21]
In order to calculate the z-score of a normal distribution, you need to apply the formula:

z = (o - m) / s

where:
o = observed value
m = mean
s = standard deviation

In your case:

z = (259 - 239) / 25 = 0.8

The answer is, indeed, z = 0.8
4 0
3 years ago
100 students went on a field trip. Six busses were filled and 10 students traveled in
kaheart [24]

Answer:

15 students in each bus.

Step-by-step explanation:

Subtract 10 from 100 and you get 90 then divide 90 by 6 and that gives you how many students in each bus

7 0
2 years ago
What are the greatest common factors of 15 and 6
laiz [17]

The greatest common factor is 3.


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3 years ago
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