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lozanna [386]
4 years ago
6

Find the lateral area of the square pyramid shown, to the nearest whole number.

Mathematics
2 answers:
mylen [45]4 years ago
3 0
I believe the correct answer is D)
almond37 [142]4 years ago
3 0

Answer:

The correct answer is option D

Step-by-step explanation:

The lateral area of pyramid is

l * \sqrt{(w/2)^2 + h^2}  + w * \sqrt{(l/2)^2 + h^2} \\

Where

l = 42 yd\\w = 42 yd\\h = 38 yd\\

Substituting all these values in above equation, we get -

42 * \sqrt{(\frac{42}{2})^2 + 38^2 } \\ + 42 * \sqrt{(\frac{42}{2})^2 + 38^2 } \\\\= 2 * 42 * 43.41\\= 3647 yd^2\\

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Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

\displaystyle \tan 82^\circ=\frac{h}{100}

Solving for h:

h = 100\tan 82^\circ

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

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3 years ago
A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from
Kryger [21]

Answer:

The expression would give the probability that one marble is yellow and the other marble is red is,

P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)

Step-by-step explanation:

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. So in total there are 25 marbles.

Hence,

Probability of getting yellow ball = P(Y)=\dfrac{8}{25}

Probability of getting red ball = P(R)=\dfrac{5}{25}

Probability that one marble is yellow and the other marble is red is,

P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)=\dfrac{8}{25}\cdot \dfrac{5}{25}+\dfrac{5}{25}\cdot \dfrac{8}{25}=0.128

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3 years ago
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Answer:

16 degrees

Step-by-step explanation:

62= 46+x

16=x

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3 years ago
Medal will be awarded:. When constructing an inscribed polygon with a compass and straightedge, how should you start the constru
Ymorist [56]
The draw an inscribed polygon inside the circle, the very thing to do is to draw the circle. Thus, the answer is the fourth choice, "Place a point on your paper and then use a compass to construct a circle". After which, we can locate the vertices of the polygon in the circumference of the circle and connect them to make the polygon. 
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3 years ago
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Answer:

y=27 and x=9

Step-by-step explanation:

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3 years ago
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