All categories

2 years ago

Hi there. how are ya buddy

Mathematics

1 answer:

Neko [114]2 years ago

3 0

Answer:

if i remember correctly the answer is 120*

Step-by-step explanation

You might be interested in

a (1,4) b (-1,2) c (5,-2) are the vertices of triangle abc find the sum of coordinates of the point where the right bisector of

zmey [24]

Answer:

Step-by-step explanation:

Find the midpoint of BC:

midpoint = (-1+5)/2, (2-2)/2 = (2, 0).

The slope of BC = (2 - -2) / (-1-5) = -2/3.

Find the equation of the right bisector of BC:

The slope = -1 / -2/3 = 3/2.

y-y1 = m(x-x1)

y - 0 = 3/2(x - 2)

y = 3/2x - 3.

Now find the equation of the median through C:

The midpoint of AB = (1 - 1)/2, (4+2)/2

= (0, 3).

The equation of the median:

The slope = (-2-3) / (5-0)

= -1.

The equation is:

y - 3 = -1(x - 0)

y -3 = -x.

Now we find the point of intersection by solving the 2 equations:

y - 3 = -x

y = 3/2x - 3

y = -x + 3

So:

3/2x - 3 = -x + 3

3/2x + x = 6

5/2 x = 6

x = 12/5.

y = -12/5 + 3

= -12/5 + 15/5

= 3/5.

The sum of the coordinates = 12/5 + 3 /5

= 15/5

= 3.

3 0

3 years ago

an ice cream company did a survey among high school students. it was found that 86 students liked vanilla ice cream and 48 of th

Kitty [74]

Answer:

300

Step-by-step explanation:

Students like Vanilla ice cream = 86

Out of 86 Students like chocolate ice cream too = 48

So, No. of students who like only vanilla=86-48 = 38

There were 12 students who did not like vanilla ice cream but liked chocolate ice cream.

There were 2 students who did not like either vanilla ice cream or chocolate ice

Like Vanilla Did not like vanilla Total

Like Chocolate 48 12 60

Did not like chocolate 38 2 40

Total 86 14 100

No. of students who like chocolate out of 100 = 60

Now we are supposed to find the number of students who would like chocolate ice cream when 500 high school students participate in the survey.

Let x be the number of students out of 500 who like chocolate

So, A.T.Q

$\frac{60}{100}=\frac{x}{500}$

$\frac{60}{100} \times 500=x$

$300=x$

Hence the number of students who would like chocolate ice cream when 500 high school students participate in the survey is 300.

4 0

3 years ago

Find the slope of the line that passes through the points f(4) = 6 and f(-2) = 8.

leonid [27]

Answer:

slope = - $\frac{1}{3}$

Step-by-step explanation:

given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are

(4, 6 ) and (- 2, 8 )

calculate slope m using the slope formula

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

with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )

m = $\frac{8-6}{-2-4}$ = $\frac{2}{-6}$ = - $\frac{1}{3}$

6 0

2 years ago

What is the volume of the composite figure? Express the

Papessa [141]

Answer:

$V=312\pi\ mm^{3}$

Step-by-step explanation:

we know that

The volume of the composite figure is equal to the volume of a semi-sphere plus the volume of the cone

$V=\frac{4}{6}\pi r^{3} +\frac{1}{3} \pi r^{2} h$

we have

$r=6\ mm$

$h=14\ mm$

substitute

$V=\frac{4}{6}\pi (6)^{3} +\frac{1}{3} \pi (6)^{2} (14)$

$V=144\pi +168\pi$

$V=312\pi\ mm^{3}$

3 0

3 years ago

Read 2 more answers

Pls help with this math

Salsk061 [2.6K]

Answer:

44.58

Step-by-step explanation:

$v=\frac{4}{3}\pi r^{3}\\ given r= 2.2\\\pi =3.14\\hence:v=\frac{4}{3} (3.14)(2.2)^3=44.58$

5 0

2 years ago