What is the length of the altitude of the equilateral triangle below?

Answer:

401 meters    

Step-by-step explanation:

To change the units without changing the value, we use the Multiplicative Identity (that is, 1).

The formula for the circumference of a circle is:    C=Πd

The problem gives d=85 cm, so C=85Π cm.    So, (1 revolution)=(85Π cm)  

            or 1= (85Π cm) / (1 revolution)

Billy traveled:

    150 revolutions

    (150 revolutions)*1

    (150 revolutions) * ( (85Π cm) / (1 revolution) )      [note: revolutions cancel, leaving only cm]

    (150)*(85Π) cm

    40055.27 cm * ( (1 meter)/(100 cm) )

    401 meters        (rounded to nearest meter)

(this isnt my work credits to David W.

Answer:

m<1 = 87°

m<2 = 45°

m<3 = 45°

m<4 = 52°

Step-by-step explanation:

Angle C is a right angle. Therefore, it is 90°. Because line segment BC bisects angle C, the two angles would be 45° since 90 ÷ 2 = 45.

So, angles 2 and 3 equal 45°.

Now that we have two angle measures, we can find the measure of the third angle.

45 + 48 = 93°

180 - 93 = 87°

Angle 1 equals 87°.

45 + 83 = 128°

180 - 128 = 52°

Angle 4 equals 52°.

Hope that helps.

Answer:

Step-by-step explanation:

Change the 2/3 to 4/6

Now the ratio becomes 3:4:6

So the number of each is

3x + 4x + 6x = 520

13x = 520

x = 40

Red = 3*40 =      120

Yellow = 4*40 = 160

Blue = 6 * 40  = 240

Total =               520

Answer:

he downloaded 9 songs and 1 game

Step-by-step explanation (3x2= 6) (5x1= 5) (3+5= 8) $6.00 + $5.00 = $11.00

so add 3 items to the games that would be $6.00 so 5 items would remain put the rest of those items into the music that would be 5x1 =$5.00. So $6.00+$5.00= $11.00 so the answer is $11.00.

Answer: 8 weeks

Step-by-step explanation:

He originally had $315 in his account. This figure increased to $955. It therefore increased by:

= 955 - 315

= $640

If he deposited $80 every week, the number of weeks it would take to deposit $640 is:

= 640/80

= 8 weeks

Answer:

did u have any options in that..so I can tell u

Answer:

18 times in a day

Step-by-step explanation:

1 day - 24 hours

1 hours - 60 minutes

24 hours - 24 × 60

= 1440

1 day - 1440 minutes

therefore, 1440/ 80 = 18

Answer:

he positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative

Step-by-step explanation:

Answer:

14) x = 6 and y = 8

15) x = -1 and y = 1

16) x = 7 and y = 10

Step-by-step explanation:

14) From the given parallelogram, we can say that;

PT = TR and QT = QS due to the fact that the diagonals bisect each other into two equal parts.

Thus;

If PT = 2x, TR = y + 4, QT = x + 2, TS = y; then we have;

PT = TR

2x = y + 4

y = 2x - 4 - - - eq 1

Also;

QT = QS

x + 2 = y - - - eq 2

Put x + 2 for y in eq 1 to get:

x + 2 = 2x - 4

2x - x = 4 + 2

x = 6

Put 6 for x in eq 2 to get;

6 + 2 = y

y = 8

15) similarly from above;

x + 2 = y - - - eq 1

2x = y + 3

y = 2x + 3 - - - eq 2

Put 2x + 3 for y in eq 1;

x + 2 = 2x + 3

2x - x = 2 - 3

x = -1

Put -1 for x in eq 1 to gwt;

-1 + 2 = y

y = 1

16) similarly again;

y = x + 3 - - - (eq 1)

2y = 3x - 1 - - - (eq 2)

Put x + 3 for y in eq 2;

2(x + 3) = 3x - 1

2x + 6 = 3x - 1

3x - 2x = 6 + 1

x = 7

Put 7 for x in eq 1;

y = 7 + 3

y = 10

Thus, x = 7 and y = 10

Provide a problem and I'll give you an answer...

Answer:

y = - 2x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] x - 8 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute (- 3, - 4) into the partial equation

- 4 = 6 + c ⇒ c = - 4 - 6 = - 10

y = - 2x - 10 ← equation of perpendicular line

Step-by-step explanation:

Hey there!

The 1st equation is;

y= 1/2 x-8.............(i)

Comparing the equation y= mx+c. We get;

Slope (m1) = 1/2

The equation of point which moves through point (-3,-4).

(y-y1) = m2 (x-x1). {Use one-point formula to find out the equation}

(y+4) = m2 (x+3)..………(ii)

Now, we need to find m2.

So, the condition of perpendicular lines: m1*m2= -1.

[tex] \frac{1}{2} \times m2 = - 1[/tex]

[tex]m2 = - 2[/tex]

Therefore, m2 = -2.

So, let's keep value of m2 in eqaution (ii).

y+4 = -2(X+3)

y+4 = -2x-6

y = -2x -10.

Therefore, the eqaution is y= -2x-10.

Hope it helps......

The number of bricks needed to border the circular pool is 6.28r.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, Mr. Cortez is putting a brick border around his circular pool.

So, he is boarding the circumference of the circular pool which has a distance of 2πr.

Now, the bricks are 1 foot in length.

Therefore, the number of bricks needed is,

= 2πr/1

= 2πr

= 6.28r

Therefore, the number of bricks James need to buy to build the border is 6.28r.

Learn more about circles here:

brainly.com/question/29142813

#SPJ4

Answer:

You put i at the end.

Step-by-step explanation:

The correct answer is u^5 remove the i.

Answer:

if i remember is B

Step-by-step explanation:

Answer:

He earns $400 weekly and $57.14

Step-by-step explanation:

40*10 = $400

Answer:

[tex]y=-x[/tex]

Step-by-step explanation:

The slope-intercept form of a line can be written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope, [tex]b[/tex] is the y-intercept, and [tex](x,y)[/tex] are the coordinates of any point that this line passes through.

Perpendicular lines have negative-reciprocal slopes. Therefore a line perpendicular to [tex]y=x+2[/tex] will have a slope of [tex]-\frac{1}{1}=-1[/tex].

Now that we have a slope and coordinates of a point that the line passes through, we can solve for the y-intercept and the equation of the line:

[tex]-2=-1(2)+b, \\b=0[/tex]

Thus, the equation of this line is [tex]\fbox{$y=-x$}[/tex].

Answer:

Step-by-step explanation:

[tex]50+2x=20+5x\\\\\mathrm{Subtract\:}50\mathrm{\:from\:both\:sides}\\\\50+2x-50=20+5x-50\\\\Simplify\\\\2x=5x-30\\\\\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}\\\\2x-5x=5x-30-5x\\\\Simplify\\\\-3x=-30\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\\\frac{-3x}{-3}=\frac{-30}{-3}\\\\Simplify\\\\x=10[/tex]

Answer:

whats the question???????????

Answer:

The surface area of a solid object is a measure of the total area that the surface of the object occupies. ... Their work led to the development of geometric measure theory, which studies various notions of surface area for irregular objects of any dimension. An important example is the Minkowski content of a surface.

Answer:

The correct answer would be C

Step-by-step explanation:

Answer:

Hi! The correct answer is 3(4a-5b+2)!

Step-by-step explanation:

~Factor 3 out of 12a-15b+6~

Answer:

3(4a- 5b + 2)

Step-by-step explanation:

Hope this helped!!! :)

Answer:

is it 1 question or about four questions

Answer:

121.9

Step-by-step explanation:

1% of 106 =  1.06

1.06 x 15 = 15.9

106 + 15.9 = 121.9

Answer:

7.25 and 7.20

Step-by-step explanation:

I calculated and got it correct

Answer:

a) $14.45 b) 1.45x+1.2y

Step-by-step explanation:

5*1.45+6*1.2=14.45

Answer:

300 g

Step-by-step explanation:

First divide the mass of those 12 marbles (60 g) by the number of marbles which have 60 g mass (12 marbles). You'll get  the answer as 5 g , which means 5 g is the mass of 1 marble. Now multiply the answer by 60 (specification of marbles). You'll have the answer as 300 g.

i.e.

60 / 12 = 5

5 x 60 = 300