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3 years ago

The top portion of the Washington Monument is a square pyramid. The dimensions are shown in the net to the nearest foot.

Mathematics

2 answers:

Murrr4er [49]3 years ago

7 0

Answer:

Step-by-step explanation:

Alright let's get started.

We have given a square pyramid whose base is given as 35 ft and lateral height is 55 ft.

we have to find the surface area of the square pyramid including base.

since the base is a square and we have the side 35ft,

so the area of the base = $35*35=1225$

Now, the area of the each triangle= $\frac{1}{2} *base*height$

so, the area of one triangle = $\frac{1}{2} * 35*55=962.5$

Since,we have four triangles so total area = $4*962.5=3850$

therefore, the total surface area = area of the base plus the area of four triangles i.e. $1225+3850=5075$ .

Hence, the surafce area of the top of the washington monument including the base is 5075ft.

HACTEHA [7]3 years ago

3 0

5215 sq ft. S= p times h /2 +B
35*4 * 57/ 2. + 35*35
Got h=57 by a2+b2=c2
17.5 sq+ 55 sq =5215 sq rt of 5215 is 57

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Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. find the probability that

Kaylis [27]

<span>3/28 exactly, or approximately 10.7% Since we're drawing without replacement, let's first calculate the probability that the 1st marble is white. There are 3 white marbles out of a total of 8 marbles. So the probability of the 1st marble being white is 3/8. Now assuming that the first marble picked is white, the probability of the second marble is 2 out of the 7 remaining marbles. So it's probability is 2/7. This means that the probability of both marbles being white is 3/8 * 2/7 = 6/56 = 3/28, or approximately 10.7%</span>

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3 years ago

A rectangular field has an area 28800 sq meter. Its length is twice as long as its width. What is the length of its sides?

mina [271]

W= width L= length = 2W

Area of Rectangle= Length * Widthsubstitute the area and the value of L in the formula
28,800 m^2= 2W * W
28,800= 2W^2divide both sides by 2 in an effort to isolate the variable w
14,400= W^2take the square root of both sides
√14,400= W^2
we want the negative and positive root of the radicand (the number under the radical symbol - 14,400 in this case)
120= w OR -120= w

LENGTHL= 2W= 2(120)= 240 meters

ANSWER: The side lengths are W= 120 m; L= 240 m. Even though W= -120 too, it is not a valid solution in this case since a field cannot have a negative value.

Hope this helps! :)

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3 years ago

PLEASE HELP QUICKKKK I GIVE BRAINLYIST PLEASEE

grandymaker [24]

Answer:

Step-by-step explanation:

As you can see, each time (let's say n) increases by 1, it divides by 1/2. So from a1 to a2, you get 28/2 or 14, then from a2 to a3, 14/2 or 7.

7 being your answer.

5 0

2 years ago

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What is the inverse of the function below? f(x) = 5x - 2

kupik [55]

Answer:

B. f -1(x) = x + 2 / 5

$f^{-1}(x)=\frac{x+2}{5}$

Step-by-step explanation:

To find the inverse of a function we need to interchange x and y an solve for y.

Since $f(x)=y$ , then

$f(x)=5x-2$

$y=5x-2$

$x=5y-2$

Add 2 to both sides

$x+2=5y-2+2$

$x+2=5y$

Divide both sides by 5

$\frac{x+2}{5}=\frac{5y}{5}$

$\frac{x+2}{5}=y$

$y=\frac{x+2}{5}$

$f^{-1}(x)=\frac{x+2}{5}$

We can conclude that the correct answer is B. f -1(x) = x + 2 / 5

6 0

3 years ago

Find the area of the triangle formed by the origin and the points of intersection of the parabolas with equations y=−3x2+20 and

sergejj [24]

Answer:

Area = 21 unit²

Step-by-step explanation:

We have one point of triangle = (0,0)

The other points can be solved, intersection means

−3x²+20 = x²−16

4x² = 36

x² = 9

x = ±3

when x = 3, y = 3²−16 = 9 -16 = -7 , point is (3,-7)

when x = -3, y = (-3)²−16 = 9 -16 = -7 , point is (-3,-7)

We need to find area of triangle with points (0,0), (3,-7) and (-3,-7).

Area of triangle is given by

$Area =\frac{1}{2}\begin{vmatrix}0 & 0 & 1\\ 3 & -7 & 1\\ -3 & -7 & 1\end{vmatrix}$

$Area = \frac{1}{2}\left ( 0(-7\times 1-(1\times -7))-0(3\times 1-(1\times -3))+1(3\times -7-(-3\times -7)\right )\\\\Area =\frac{1}{2}(-21-21)=-21=21unit^2$

Area = 21 unit²

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3 years ago

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