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Studentka2010 [4]

4 years ago

13

How to solve it and the formula to solve it

1 answer:

notsponge [240]4 years ago

7 0

i) u + 3 V

1 by 2 + 3 *minus 2

1 by 2 -6

1 - 12 by 2

- 11 by 2

ii) - 3 * 1 by 2 + 2 * -2 + 3 by 4

minus 19 by 4

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PLZ HELP ASAP Solve for x<br> 2/3 ( x - 7 ) = -2

ruslelena [56]

Step 1. Simplify 2/3(x - 7) to 2(x - 7)/3
2(x - 7)/3 = -2
Step 2. Multiply both sides by 3
2(x - 7) = -2 × 3
Step 3. Simplify 2 <span>× 3 to 6
2(x - 7) = -6
Step 4. Divide both sides by 2
x - 7 = -6/2
Step 5. Simplify 6/2 to 3
x - 7 = -3
Step 6. Add 7 to both sides
x = -3 + 7
Step 7. Simplify -3 + 7 to 4
x = 4</span>

4 0

4 years ago

Island A is 210 miles from island B. A ship captain travels 230 miles from island A and then finds that he is off course and 180

Ivan

Let the point where the ship turns be C.

A, B and C form a triangle whose have length 230, 210 and 180 miles.

According to the cosine Law:

$|AB|^{2}= |AC|^{2}+|CB|^{2}-2|AC|*|CB|*cos(ACB)$

$210^{2}=230^{2}+180^{2}-2*230*180*cos(ACB)$

$44,100=52,900+32,400-82,800cos(ACB)$

$44,100=85,300-82,800cos(ACB)$

$82,800cos(ACB)=85,300-44,100$

$cos(ACB)= \frac{85,300-44,100}{82,800}=0.5$

Thus, m(ACB)=60°,

thus x=120°

Answer: x=120°

5 0

3 years ago

Which of the following is a point-slope equation of a line that passes through

RSB [31]

Please, check the options of the question. The point-slope equation needs the slope, <em>m</em>, in the equation.

Answer:

The <em>point-slope equation</em> of the points (5,2) and (-1,-6) is

$\\ y - 2 = \frac{4}{3}(x-5)$ or,

$\\ y + 6 = \frac{4}{3}(x+1)$

which are the same as

$\\ 3y-4x+14 = 0$ , (which is not a point-slope equation, though)

Step-by-step explanation:

The point-slope equation is given by:

$\\ y - y_{1} = m(x - x_{1})$

Where <em>m</em> is the slope of the line:

$\\ m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Having the points (5,2) and (-1,-6), then

$\\ m = \frac{-6 - 2}{-1 -5}$

$\\ m = \frac{-8}{-6}$

$\\ m = \frac{4}{3}$

Then, the point-slope equation of the points (5,2) and (-1,-6) is

$\\ y - 2 = \frac{4}{3}(x-5)$ or

$\\ y + 6 = \frac{4}{3}(x+1)$

The below graph represents both lines (they are the same line).

5 0

3 years ago

The composite figure shown is made up of half of a sphere and a

grigory [225]

we can divide this shape into two parts

(1) Hemisphere:

we can see that

radius is 8

now, we can use formula for volume

$V=\frac{2}{3} \pi r^3$

$V=\frac{2}{3} \pi (8)^3$

$V=1072.33029$

(2) Cylinder:

radius is 8

height is 7

we can use formula

$V=\pi r^2 h$

$V=\pi (8)^2*7$

$V=1407.43351$

now, we can add them to find total volume

$V=1072.33029+1407.43351$

$V=2479.7638 in^3$ ..............Answer

6 0

3 years ago

Estimate at 15% tip on a dinner bill of $39.84 by first rounding the bill amount to the nearest $10

Burka [1]

Answer:

$6

Step-by-step explanation:

$39.84≈$40

tip=15% of 40=0.15×40=$6.00

3 0

3 years ago