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3 years ago

11

HELPP AGAIN PLEASE!! 2/5 (10c -35) (the 35 is negative)

2 answers:

Zina [86]3 years ago

7 0

Answer:

4c - 14

Step-by-step explanation:

2/5 (10c -35)

Distribute

2/5 * 10c - 2/5 * 35

4c - 14

PilotLPTM [1.2K]3 years ago

6 0

Answer:

See below.

Step-by-step explanation:

$\frac{2}{5} (10c-35)\\\text{Distribute}\\=\frac{2}{5}(10c)+\frac{2}{5}(-35) \\=\frac{20}{5} c-\frac{70}{5}\\ =4c-14$

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To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?

kati45 [8]

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

111.6° + ∠C = 180°

∠C = 180° - 111.6°

∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

$\frac{BC}{sinA}=\frac{AB}{SinC}$

$\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}$

$BC[sin(68.4)] = 646 [sin(18.6)]$

$BC = \frac{646*sin(18.6)}{sin(68.4)}$

$BC = \frac{646 * 0.3190}{0.9298}$

$BC = 221.63$

$BC = 222$ meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

7 0

3 years ago

HELP DUE IN 20 MINS!<br><br><br>m∠c =?? degrees<br><br><br>° m∠d =?? degrees

dimaraw [331]

Answer:

<c = 45°

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3 years ago

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The height of a plant over 4 weeks is shown in the graph below, What is the rate of growth of the plant, in centimeters per week

mihalych1998 [28]

This would be (12-4)/4 = 8/4 = 2 (answer)

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3 years ago

You purchase a $30, nonrefundable ticket to a play at a local theater. Ten minutes into the show you realize that it is not a ve

Luda [366]

Answer:

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Step-by-step explanation:

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3 years ago

A rectangle has an area of 24 sq. inches and a perimeter of 50 in. what are the dimensions of the rectangle

gulaghasi [49]

Answer:

Length of rectangle = 24 inches

Width of rectangle = 1 inches

Step-by-step explanation:

Area of rectangle = 24 square inches

Perimeter of rectangle = 50 inches

Formulas:

Area of rectangle = $l\times w$

Perimeter of rectangle = $2(l+w)$

where $l$ represents length of rectangle and $w$ represents width of rectangle.

So, we can get two equations for $l$ and $w$

A) $l\times w=24$ [Area]

B) $2(l+w)=50$ [ Perimeter ]

Simplifying equation B.

Dividing both sides by 2.

$\frac{2(l+w)}{2}=\frac{50}{2}$

$l+w=25$

Solving for $l$ in terms of width.

Subtracting $w$ both sides.

$l+w-w=25-w$

∴ $l=25-w$

Substituting value of $l$ in terms of $w$ in equation A.

$(25-w)w=24$

Using distribution.

$25w-w^2=24$

Adding $w^2$ both sides.

$25w-w^2+w^2=24+w^2$

$25w=24+w^2$

subtracting $25 w$ both sides

$25w-25w=24+w^2-25w$

$0=w^2-25w+24$

We have a quadratic equation. $w^2-25w+24=0$

We solve for $w$ by factor method.

Splitting middle term into two terms such that the sum of the two = $-25w$ and product of two = $24w^2$

$w^2-24w-w+24=0$

Factoring in pairs.

$w(w-24)-1(w-24)=0$

Factoring as a whole

$(w-24)(w-1)=0$

So, we have

$w-24=0$ and $w-1=0$

By adding 24 to one equation and adding 1 to other we get

$w-24+24=0+24$ and $w-1+1=0+1$

$w=24$ and $w=1$

So length can be found out by plugging value of $w$ in the length equation.

$l=25-24=1$ and $l=25-1=24$

Since length is always the longer side of rectangle so, the dimensions of rectangle can be given by.

length = 24 inches (answer)

width = 1 inches (answer)

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3 years ago