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3 years ago

8

Choose the correct formula to find the area of the oblique ABC shown below. Select all that apply. Select all true statements.

1 answer:

mote1985 [20]3 years ago

8 0

The area of a triangle by definition is:
A = (1/2) * (b) * (h)
Where,
b: base
h: height
For the case of oblique triangles we must find the height:
There are two ways to find them:
h = c * sine (B)
h = b * sine (C)
Substituting we have:
A = (1/2) * (a) * (c * sine (B))
A = (1/2) * (a) * (b * sine (C))
Answer:
Two ways to write the area are:
A = (1/2) * (a) * (c * sine (B))
A = (1/2) * (a) * (b * sine (C))
Note: These results are not among the options. It was probably a mistake writing the question.

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Which points are reflections of each other across both the y-axis

ser-zykov [4K]

Answer:

Reflect over the y-axis

Step-by-step explanation:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).

Notice that B is 5 horizontal units to the right of the y-axis, and B' is 5 horizontal units to the left of the y-axis.

The reflection of the point (x,y) across

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3 years ago

An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made

Lemur [1.5K]

Answer:

The dimension of box= $2ft\times 2ft\times 1ft$

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box= $lbh=x^2h$

$4=x^2h$

$h=\frac{4}{x^2}$

Now, surface area of box,A= $x^2+4xh$

$A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}$

$\frac{dA}{dx}=2x-\frac{16}{x^2}$

$\frac{dA}{dx}=0$

$2x-\frac{16}{x^2}=0$

$2x=\frac{16}{x^2}$

$x^3=8$

$x=2$

$\frac{d^2A}{dx^2}=2+\frac{32}{x^3}$

Substitute x=2

$\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0$

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h= $\frac{4}{2^2}=1 ft$

Hence, the dimension of box= $2ft\times 2ft\times 1ft$

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2 years ago

Select the correct answer. 3 Twenty-seven minus 2 of a number (X) is not more than 36. What is the number? N O A. x > 42 OB.

e-lub [12.9K]

Answer:

the answer should be A.

Step-by-step explanation:

- College brother

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2 years ago

Using the example in #8, find the value of x

RUDIKE [14]

Answer:

SolutioN :

Set up an equation & solve for x :

$\star \tt \: 15x - 7 - 3x + 151 = 180$ [ Sum of co-interior angles ]

$\longrightarrow \tt \: 12x + 144 = 180$

$\longrightarrow \tt \: 12x = 36$

$\longrightarrow \tt \: x = \frac{36}{12}$

$\longrightarrow \tt \: x = \boxed{ \tt{3}}$

The value of x is 3 .

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1 year ago

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aksik [14]

Answer:

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32−(15.53+7.41+35.79+32)

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3 years ago