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3 years ago

Answer quick for brainliest

Mathematics

1 answer:

olasank [31]3 years ago

4 0

Answer:

sales tax is $1 and totel cost is $21

Step-by-step explanation:

You might be interested in

Two ropes are attached to a large ballon in a parade. The people holding the ropes are 40 feet apart,and the angle between the t

tankabanditka [31]

Answer:

We'll use the Law of Sines:

Sine (C) / c = Sine (B) / b

Sine (86) / 40 = Sine (52) / b

0.99756 / 40 = 0.78801 / b

0.024939 = .78801 / b

b = .78801 / .024939

side b = 31.5974978949 feet

Sine (42) / a = Sine (86) / 40

(0.66913 / a) = 0.024939

a = .66913 / .024939

side a = 26.8306668271 feet

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I forgot to include the graphic.

Step-by-step explanation:

8 0

3 years ago

alisha [4.7K]

Answer:

$d=3\sqrt{2}\ units$

Step-by-step explanation:

The complete question is

Line L contains points (3, 5) and (7, 9). Points P has coordinates (2, 10). Find the distance from P to L

step 1

Find the equation of the line L contains points (3,5) and (7,9)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{9-5}{7-3}$

$m=\frac{4}{4}=1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1\\point\ (3,5)$

substitute

$y-5=(1)(x-3)$

isolate the variable y

$y=x-3+5$

$y=x+2$ -----> equation A

step 2

Find the equation of the perpendicular line to the given line L that passes through the point P

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

The slope of the given line L is $m=1$

The slope of the line perpendicular to the given line L is

$m=-1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-1\\point\ (2,10)$

substitute

$y-10=-(x-2)$

isolate the variable y

$y=-x+2+10$

$y=-x+12$ ----> equation B

step 3

Find the intersection point equation A and equation B

$y=x+2$ -----> equation A

$y=-x+12$ ----> equation B

solve the system by graphing

The intersection point is (5.7)

see the attached figure

step 4

we know that

The distance from point P to the the line L is equal to the distance between the point P and point (5,7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(2,10) and (5,7)

substitute

$d=\sqrt{(7-10)^{2}+(5-2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$d=\sqrt{18}\ units$

simplify

$d=3\sqrt{2}\ units$

see the attached figure to better understand the problem

6 0

3 years ago

The sum of Sharon's and John's ages is . Sharon is times as old as John. If you let Sharon's age and John's age, then the proble

il63 [147K]

Answer:

Step-by-step explanation:

Im pretty sure its A because

55ish plus 15ish equals 70 which is their ages combined

55-60 is also 4 x 15

6 0

3 years ago

Work out 15% of £24 please

mylen [45]

Answer:

£3.6

Step-by-step explanation:

24 = 100% ; x = 15%

Let's make it simple

$\frac{x}{24 } = \frac{15}{100} ; x = 24.15/ 100 ; x=3.6$

8 0

2 years ago

In a supermarket, bottles of lemonade are on a buy one get one half price offer.

Lady_Fox [76]

Answer: 114p

Step-by-step explanation:

Hope it helps

7 0

3 years ago