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Alisiya [41]
4 years ago
7

Helpppppppp meeeee!!!!!​

Mathematics
1 answer:
Vsevolod [243]4 years ago
5 0

Step-by-step explanation:

a)\\A=\dfrac{1}{2}h(a+b)\qquad\text{multiply both sides by 2}\\\\2A=2\!\!\!\!\diagup\cdot\dfrac{1}{2\!\!\!\!\diagup}h(a+b)\qquad\text{use the distrigutive property}\\\\2A=ha+hb\qquad\text{subtract}\ hb\ \text{from both sides}\\\\2A-hb=ha\qquad\text{divide both sides by}\ h\neq0\\\\\dfrac{2A-hb}{h}=a\to \boxed{a=\dfrac{2A-hb}{h}}

b)\\a=\dfrac{2A-hb}{h}\\\\\text{Substitute:}\ A=19.95\ cm^2,\ b=7.8\ cm,\ h=3.5\ cm\\\\a=\dfrac{2(19.95)-(3.5)(7.8)}{3.5}=\dfrac{39.9-27.3}{3.5}=\dfrac{12.6}{3.5}=3.6\\\\\boxed{a=3.6\ cm}

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What is the tax on $35.00 at 9.75% rate<br> How much will you pay in total?
Dennis_Churaev [7]

Answer:

the tax on $35.00 at 9.75% rate

35.00*9.75 = 315.75

6 0
3 years ago
A bookshelf is about 9.3*10^-2 meters thick. A bookshelf is about 1.865*10^1 meters long. About how many copies of this book wil
Ksenya-84 [330]

For this case, the first thing we must do is define variables.

We have then:

x: length of the bookshelf

y: thickness of each book

The equation for the number of books is:

N = \frac{x}{y}

Substituting values we have:

N = \frac{1.865 * 10 ^ 1}{9.3*10^{-2}}

Doing the calculation we have:

N = 200

Answer:

200 copies of this book will fit on the bookshelf

3 0
3 years ago
F=f (1-v/s) change the subject of the formula into v
Artyom0805 [142]
Changing the subject of the formula into v means expressing v in terms of the other given variables. So given the original equation, as shown below, we can rearrange it so that we have v isolated on one side.

F = f(1 - \frac{v}{s})
\frac{F}{f} = 1 - \frac{v}{s}
\frac{v}{s} = 1 - \frac{F}{f}

To isolate v, we can just multiply s to both sides and come up with the final equation below.

v = s(1 - \frac{F}{f})

Thus, we have v = s(1 - F/f) with v as the subject of the formula.

Answer: v = s(1 - F/f)
8 0
3 years ago
Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applie
adoni [48]

Answer:

Location of T' on the coordinate axis will be (16,7).

T (6,4) → T' (16,7).

Step-by-step explanation:

coordinate vertices of points in rectangle JKLM are:

J (-8,-8)

K (-4,-8)

L (-4,-5)

M (-8,-5)

and coordinate vertices of points in rectangle J'K'L'M' are:

J' (2,-5)

K' (6,-5)

L' (6,-2)

M' (2,-2)

coordinate vertices of points in Quadrilateral STUV are:

S (1,4)

T (6,4)

U (4,6)

V (2,6)


transformation in coordinate vertices from rectangle JKLM to rectangle J'K'L'M' is:

J (-8,-8) → J' (2,-5)

⇒ along x axis -8 → 2 which means that rectangle is shifting towards right by 10 units.

and along y axis -8 → -5 which means that the rectangle is shifting upwards by 3 units.

similarly for

K (-4,-8) → K' (6,-5)

⇒ along x axis -4 → 6 which means that rectangle is shifting towards right by 10 units.

and along y axis -8 → -5 which means that the rectangle is shifting upwards by 3 units.

L (-4,-5) → L' (6,-2)

⇒ along x axis -4 → 6 which means that rectangle is shifting towards right by 10 units.

and along y axis -5 → -2 which means that the rectangle is shifting upwards by 3 units.

M (-8,-5) → M' (2,-2)

⇒ along x axis -8 → 2 which means that rectangle is shifting towards right by 10 units.

and along y axis -5 → -2 which means that the rectangle is shifting upwards by 3 units.


So, the location of T' of the Quadrilateral S'T'U'V' on the coordinate plane will be:

along x axis the Quadrilateral will shift towards right by 10 units

So, 6 → 6+10=16

and along y axis the Quadrilateral will shift upwards by 3 units

So, 4 → 4+3=7

⇒ T (6,4) → T' (16,7).

7 0
3 years ago
Read 2 more answers
(2 1<br> 2<br> -<br> 4<br> -<br> 5<br> ) ÷<br> 3<br> -<br> 4
son4ous [18]

Answer:

63\frac{6}{9}

Step-by-step explanation:

(212-4-5) ÷ 3-4=

203 ÷ 3-4=

67\frac{6}{9}-4=

=63\frac{6}{9}

Hope this helps

7 0
3 years ago
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