Help with math word problem grade 9 level

Mathematics

1 answer:

lianna [129]3 years ago

4 0

Answer:

356.1m

Step-by-step explanation:

use pythagoras theorem

where the imaginary line is hypotenuse

using the formula

square of hypotenuse= square of perpendicular +square of base

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Please help me AAAAAA

bezimeni [28]

Answer:

Step-by-step explanation:

AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.

now, what is f ?

we know this from the relation of AC to FA.

FA = 12 mm

AC = 12 + 28 = 40 mm

so, going from AC to FA we multiply AC by f so that

AC × f = FA

40 × f = 12

f = 12/40 = 3/10

all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).

the area of a triangle is

baseline × height / 2

aABC = 500

and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.

baseline small = baseline large × f

height small = height large × f

we know that

baseline large × height large / 2 = 500

baseline large × height large = 1000

aAEF = baseline small × height small / 2 =

= baseline large × f × height large × f / 2 =

= baseline large × height large × f² / 2 =

= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =

= 500 × 9/100 = 5 × 9 = 45 mm²

8 0

3 years ago

Match the formula to the correct figure.

ss7ja [257]

It is asking you to move the right formula with its match.

Formula for a cylinder: π*R^2*H
So the first option goes to the first shape.

Example:
Radius=5
Length=10
π≈3.14
3.14*5²*10
=725 cm³ for the answer.

Formula for a square: l*w*h
So the 4th option goes with the 2nd shape.

Example: l=5 w=5 h=5
(Length * Width * Hieght)

5*5*5=125 for the answer.

Formula for a cone is: 1/3π*r^2*h
So the second option goes to the 3rd shape.

Example: r=3 h=11
π≈3.14
$\frac{1}{3} *3 ^{2} *11=33$
33 is your answer.

Formula for the pyramid would be: 1/3*b*h
So the 3rd option would go to the 4th shape.

Example:
b=2 h=10
$\frac{1}{3} *2*10=6.666667$
Rounded: 6.6

Hope this helps!~

(Look at the attachment)