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GaryK [48]
2 years ago
9

I don’t know how to do this question pls help

Mathematics
1 answer:
sineoko [7]2 years ago
5 0

Answer:

Step-by-step explanation:

Triangle P is mapped onto Q so P is the initial triangle that will transformed.

We can rotate counterclockwise 90° but we cannot do it about the origin (0,0) because the red point (5, 1) will end up at ( -1, 5) .

We see that the point (5, 1)  ends up at ( -2, 4) so the center of rotation is lower than the origin.

The transformation is rotation of 90° about the point (0,-1)

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What is 4 divided by 6 + 89 - 34 -89 +190
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4/(6+89-34-89+190)
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That's your answer.
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After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could
White raven [17]

Answer:

1/2 (x+5) = 36  should be the equation that is used to determine how many rocks George started with.

Step-by-step explanation:

Let 'x' be the number of rocks George had.

As George gave, after getting 5 new rocks, half of his rock collection to Susan which is = 36 rocks

It means after getting 5 new rocks George's total rocks = 72

Given that he gave half collection to Susan = 36

Thus, before inducting 5 new rocks Georg's total rocks were = 67

Thus,

1/2 (x+5) = 36 should be the correct equation.

solving

1/2 (x+5) = 36

Multiplying both sides by 2

1/2 (x+5) × 2 = 36 × 2

x+5 = 72

x = 72 - 5

x = 67

Thus, before getting 5 new rocks, the number of rocks George had = 67

Therefore,

1/2 (x+5) = 36  should be the equation that is used to determine how many rocks George started with.

7 0
2 years ago
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One mirror is to be in the shape of a triangle whose height is 6 feet less than twice the base of the mirror. If the mirror has
Vlad1618 [11]

Answer:

Base of the mirror is 12 feet and height of the mirror is 18 feet.

Step-by-step explanation:

Given:

Area of the triangular mirror = 108 sq ft.

Let base (b) of the mirror be x.

Now given:

height is 6 feet less than twice the base of the mirror

So we can say that;

Height (h) = 2x-6

We need to find the base and height of the mirror.

Solution:

Now we know that mirror is in triangular shape so we will apply area of triangle formula to find base and height.

Now Area of triangle is half times base times height.

framing in equation form we get;

108=\frac{1}{2} \times x \times(2x-6)\\\\108=\frac{1}{2}\times x \times 2(x-3)\\\\108=x(x-3)\\\\108=x^2-3x\\\\x^2-3x-108=0

Now we will find the roots of x by factorizing the equation we get;

x^2-12x+9x-108=0\\\\x(x-12)+9(x-12)=0\\\\(x-12)(x+9)=0

Now we will solve for 2 values of x we get;

x-12=0\\\\x=12\ ft\\\\Also;\\\\x+9=0\\\\x=-9\ ft

Now we get 2 values of 'x' one positive and one negative.

Since x is base of the triangle which cannot be negative.

so we will discard the negative value.

Hence;

base of triangle = 12 ft

Height of the triangle = 2x-6=2\times12-6 =24-6 =18\ ft

Hence Base of the mirror is 12 feet and height of the mirror is 18 feet.

7 0
3 years ago
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