Mathematics, 05.10.2020 15:01 gigi813

Help please. I don’t understand and my teacher didn’t bother to teach us any of this and my brain hurts

Help please. I don’t understand and my teacher didn’t bother to teach us any of this and my brain h

Answers: 3

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Answer from: AdoNice

23. 42 m^2

24. 144 ft^2

25. 68 cm^2

Step-by-step explanation:

The teacher should not need to spend any time teaching this. The area of the total figure is the sum of the areas of its parts. You already know that. And, you already know how to compute the areas of triangles and rectangles.

You may recall that the area of a triangle is ...

A = 1/2bh

and the area of a rectangle with the same base and height is ...

A = bh

So, a triangle with base b and height h has the same area as a rectangle with the same base (b) and half the height (h/2). Recognizing this makes these problems really simple.

23. The base of the rectangle and triangle is 7 m. The height of the triangle is 4 m, so its area is equivalent to adding 4/2 = 2 m to the 4 m height of the rectangle. Then the total area is ...

A = (7 m)(4 m +(1/2)(4 m)) = (7 m)(6 m) = 42 m^2

24. Since there are two identical triangles of height 5, their total area is equal to that of a rectangle of height 5.

A = (12 ft)(7 ft +5 ft) = 144 ft^2

25. The 5 cm height of the triangle makes it have an area equivalent to a rectangle 5/2 cm high.

A = (8 cm)(6 cm +5/2 cm) = 68 cm^2

Note: we have read the fuzzy numbers as 8 cm wide, 6 cm high for the rectangle, and 5 cm high for the triangle. If your figure is different, please use the appropriate numbers in the calculation.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is