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alexandr1967 [171]
3 years ago
11

Exam

Mathematics
1 answer:
Finger [1]3 years ago
3 0

Answer:

m = 15

Step-by-step explanation:

Since ∆ABC ~ ∆QRS, this implies that the ratio of their corresponding side lengths are equal. Thus:

QR/AB = QS/AC

QR = m

AB = 10

QS = 9

AC = 6

Plug in the values

m/10 = 9/6

m/10 = 3/2

Cross multiply

2*m = 3*10

2m = 30

m = 30/2

m = 15

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d=rt

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d=rt

d/t =r

250/4.5 =r

55.5555555=r

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Division time :) <br> and i'm stuck with this.
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Answer:

Step-by-step explanation:

I think the quotent is 5, but I recommend waiting for sumone else to answer. Because 31.5 divided by 1.4 equals 22.5 but I'm not sure.

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AlexFokin [52]
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you go to a grocery store and buy a $2.50 bag of sugar and a sandwich for $1.75. The sales tax for your state is 7%. What is the
Rashid [163]

Answer: My guess is $4.55


Step-by-step explanation:

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8 0
3 years ago
F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa
DerKrebs [107]

a. Parameterize C by

\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath

with 0\le t\le1.

b/c. The line integral of \vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath over C is

\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt

=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt

=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt

=\displaystyle10\int_0^1\mathrm dt=\boxed{10}

d. Notice that we can write the line integral as

\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)

By Green's theorem, the line integral is equivalent to

\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy

where D is the triangle bounded by C, and this integral is simply twice the area of D. D is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

4 0
3 years ago
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