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3 years ago

What is the volume of the shed?

Mathematics

2 answers:

choli [55]3 years ago

7 0

38m^3 after working it all out (took ages lol)

NemiM [27]3 years ago

3 0

Answer:

38 m^3

Step-by-step explanation:

The shape of the shed is a prism.

volume = area of base * height

The base of the prism is the front face of the shed. The height of the prism is the 2 m distance between the front base and the back base.

area of base = area of rectangle + area of triangle

The front base consists of a rectangle with length 5 m and width 3 m and a triangle with base 5 m and height 1.6 m

area of base = LW + (1/2)bh

area of base = (5 m)(3 m) + (1/2)(5 m)(1.6 m)

area of base = 15 m^2 + 4 m^2

area of base = 19 m^2

height of prism = 2 m

volume = area of base * height

volume = 19 m^2 * 2 m

volume = 38 m^3

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Find the value of the variable

Neporo4naja [7]

Answer:

x=6

Step-by-step explanation:

I would look at this triangle and notice that x can be solved by setting up a ratio.

I generally put the short side of the triangle on the top and the long side on the bottom

4/x = x/9

You then cross multiply to get 36=x^2, or +-6=x

A length of a triangle cannot be negative, so we are left with the answer x=6

8 0

3 years ago

First Data Corp. records indicate that in 2005, 43% of adult email users received a phishing email. A phishing email replicates

ra1l [238]

Answer:

P(x) = 45/100 = 0.45

Mean sample distribution = probability x number sampled by the survey.

Mean sample distribution = 0.45 x 800 = 360.00 to two decimal places.

Step-by-step explanation:

Convert the percentage to decimal probability.

45%. P(x) = 45/100 = 0.45

If there are ranges of probability values, we construct a probability distribution table. This is not necessary in the case of one probability value(45%)

Multiply the probability by the number adults to be surveyed on whether they have received phishing emails.

0.45 x 800 = 360.

Here, we assume that the 45% recorded by 2005 data, is still valid for the recent trends.

5 0

3 years ago

Read 2 more answers

Write the word name for each decimals of 2,010.8

Goshia [24]

two thousand ten and eight tenths

7 0

3 years ago

Quadratics need help making parabola

timama [110]

Answer:

The equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ , whose real vertex is $(x,y) = (2, -5.333)$ , not $(x,y) = (2, -5)$ .

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

$(x_{1}, y_{1}) = (-2, 0)$ , $(x_{2}, y_{2}) = (6, 0)$ , $(x_{3}, y_{3}) = (0, -4)$

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

$4\cdot a -2\cdot b + c = 0$ (1)

$36\cdot a + 6\cdot b + c = 0$ (2)

$c = -4$ (3)

The solution of this system is: $a = \frac{1}{3}$ , $b = - \frac{4}{3}$ , $c = -4$ . Hence, the equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ . Lastly, we must check if $(x,y) = (2, -5)$ belongs to the function. If we know that $x = 2$ , then the value of $y$ is: