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Wittaler [7]
3 years ago
12

I really need help with this!

Mathematics
1 answer:
SVEN [57.7K]3 years ago
3 0

Since all triangles in these questions are similar, we use that the ratios of corresponding sides are equal

(1)

\frac{y}{6} = \frac{9}{x} = \frac{5}{4}

solving \frac{9}{x} = \frac{5}{4} ( cross-multiply )

5x = 36 ( divide both sides by 5 )

x = \frac{36}{5}

solving \frac{y}{6} = \frac{5}{4}

4y = 30 ⇒ y = \frac{15}{2}

(2)

let h be the height of the flagpole, then

\frac{h}{5.5} = \frac{50}{4}

4h = 275 ⇒ h = 68.75 feet

(3)

\frac{x}{6} = \frac{93.5}{12.75}

12.75x = 561 ⇒ x = 44 feet


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Answer:

Few things are missing, they are volume of the box is 180 feet cube. Length is 9 feet greater than its height, and weight is 4 feet less than its height.

Step-by-step explanation:

Given, the volume of the box, V = 180 feet cube

Let the height of the box, h = x feet

Therefore, length is, l = ( 9+x ) feet

And width is, b = ( x-4) feet

so volume of the box is

V = l x b x h

$ 180= (x+9) \times (x-4) \times (x)$

$ x^3 +5x^2-36x -180 =0$

Factorizing we get

(x+5)(x-6)(x+6)=0

Therefore,

x = -5, -6, 6

Now since the height of the box cannot be negative, so taking the positive value of x, we get

Height of the box, h = x = 6 feet

Length , l = ( 9+x ) = 9+6 = 15 feet

Width , b = ( x-4) = 6-4 = 2 feet

8 0
3 years ago
140% out of what gives 56
Verizon [17]


140 / 100 * X = 56

X = 56 * 100 / 140 = 5600 / 140 = 40

4 0
3 years ago
Read 2 more answers
Mrs.Chang spent $44 for a movie ticket and a snack for each of her 4 children. Each snack cost $3.50. Each movie ticket cost the
jeka57 [31]
Each snack cost 3.50 and she bought four, one for each child. The child who wrote it only took one snack into account.
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<span>(y=mx+b) or (ax+by=c)  hope this helped

</span>
8 0
3 years ago
Please help me AAAAAA
bezimeni [28]

Answer:

45

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
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