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9514 1404 393

Answer:

  3√3 square units

Step-by-step explanation:

The area of a regular n-sided polygon with radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

For n=3 and r=2, the area is ...

  A = (3/2)(2²)·sin(360°/3) = 6·sin(120°) = 6(√3/2)

  A = 3√3 . . . . square units

_____

Alternate solution

The center of this polygon is the centroid, which divides each median into parts with the ratio 2:1. This means the given radius is 2/3 of the height of the triangle. The base of the triangle is 2/√3 times the height, so is ...

  b = (2/√3)(3) = 2√3

The area using these dimensions is calculated as ...

  A = 1/2bh

  A = 1/2(2√3)(3) = 3√3 . . . . square units

Answer:

0.6832

Step-by-step explanation:

Given :

Mean, m = 52

Standard deviation, s = 7

-1.2 standard deviation of average = 57 - 1.2(7) = 57 - 8.4 = 48.6

2 standard deviations of average = 57 + 2(7) = 57 + 14 = 71

Zscore = (48.6 - 52) / 7 = - 0.486

Zscore = (71 - 52) / 7 = 2.714

P < -0.486) = 0.31348

P < 2.714 = 0.99668

P < 2.714 - P < -0.486 = (0.99668 - 0.31348) = 0.6832

Answer:

 ^^

Step-by-step explanation:

Answer:

You didn't add the range. I'll use (0<x<2π)

cosx = -1/2

x=-cos-¹(1/2)

x= -60°

Cosine is negative in the second and 3rd quadrants

180-x ---- Second quadrant

x+180 ----- 3rd quadrant

So

Our answer

180-(-60)=240° or 4π/3 second quad

180+(-60) = 120° or 2π/3---- 3rd quad

Answer:

-11/7

Step-by-step explanation:

y1-y2/x1-x2

7-(-4)/-2-5

11/-7

Answer:

-7/11

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-2) / -4 - 7

= 7 / -11

= -7/11

Answer:

Las ganancias totales de la empresa B en dicho año fueron de $51.532,90.

Step-by-step explanation:

Dado que una empresa A gana $42.758,35 en un año, y si la empresa B gastara $8.774,55 tendría tantas ganancias como la primera empresa, para determinar cuál es la ganancia total de la empresa B se debe realizar el siguiente calculo:

Ganancias B - 8.774,55 = 42.758,35

Ganancias B = 42.758,35 + 8.774,55

Ganancias B = 51.532,90

Por lo tanto, las ganancias totales de la empresa B en dicho año fueron de $51.532,90.

Answer:

X = 99

Step-by-step explanation:

Answer:

Solid A

Step-by-step explanation:

The formula to find the surface area of a cube = 6a²

Where a = side length

Solid A = 17ft

For solid A, surface area = 6 × (17 ft)²

= 1734 ft²

For Solid B

the conversion factor 3.28ft/ 1 m

Solid B = 5m

Hence, converting 5m to ft

1m = 3.28 ft

5m =

Cross Mulitiply

= 5m × 3.28ft

= 16.4 ft

Hence, the surface area of solid B =

6 × (16.4 ft)²

= 1613.76 ft²

The cube that has the larger surface area is Solid A

Answer:

answer is D I think

Step-by-step explanation:

.............

Answer:

x = -√3 /2

y = ½

Step-by-step explanation:

x = cos 150°= -√3 /2

y = sin 150° = ½

Answer:

x=0

y= x + 8

Step-by-step explanation:

find the oblique asymptotes using long polynomial divison

Answer:

I think its 132.

The total surface area of the triangular prism is 200 cm².

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

First, find the height of the prism.

Let h is the height of the prism

Use the pythagoras theorem

then

5² = (6/2)² + h²

5² = 3² + h²

25 = 9 + h²

h² = 25 - 9

h² = 16

h =4

Now apply the surface area formula

total surface area = ( 5 + 5 + 6) 11 + 6×4

                             = 16 × 11 + 24

                             = 176 +24

                             = 200 cm²

Hence the surface area is 200 cm²

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Answer:

12. (0,-4)

13. 3 blocks apart

14. Quadrant III (-x,-y) Hospital or Police Station (There are 2?)

15 9 to the right, 1 down.

Answer: (0,-4)

3 blocks

hospital

9 blocks

Step-by-step explanation:

The value of QR in the triangle is 16 units

Recall that Congruence of triangles represents the similarity of triangles. Two triangles are congruent if their corresponding sides and angles are congruent

The question states that  ΔPML≅ΔTRQ

This implies that ML/QR = PM/TR

⇒(7x-9)/2x+2  = 35/14

Cross and multiplying we have

14(7x-9) = 35(2x+2)

=98x-126 = 70x +70

98x-70x = 70+126

⇒28x = 196

Making x the subject of the formula

x= 196/28 = 7

Recall that the side QR = 2x+2

Then by substitution,

2(7) +2

14+2 =16

This therefore keeps the side QR as 16 units.

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Answer:

wdym

Step-by-step explanation:

i dont get it

Step-by-step explanation:

1 reflection 2.rotation 3 reflection 4 rotation

Answer:

The answer is: u-3>-6

This is because 10-3=7 and 7>-6

Answer:

m = 35

n = 110

Step-by-step explanation:

70/2 = 35

70 + 70 = 140

360 - 140 = 220

220/2 = 110

Answer:

25.13

Step-by-step explanation:

C = 2πr

C = 2π(4)

C = 25.13

Hope this helps!

Answer:

92.5

Step-by-step explanation:

you would add 90+95 which is 185 then divide that by 2 to get ur answer

Answer:

The supplementary angle is

153°.

The complementary angle is

63°.

Step-by-step explanation:

This is very right trust mne

Mark me brainlist

The measure of the supplementary angle and the measure of a complementary angle as follows; The supplementary angle is 153°. The complementary angle is 63°.

Two angles whose sum is 90° are called complementary angles.

Two angles whose sum is 180° are called supplementary angles.

If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

Those two-two angles are two pairs of supplementary angles.

That means, if supplementary angles are aligned adjacent to each other,

their exterior sides will make a straight line.

Therefore, The supplementary angle is 153°.

The complementary angle is 63°.

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Answer:

It would be the fourth one

Step-by-step explanation:

Answer:

ans = <ebc= 115°

hope this will help

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.

Answer:

plz mark brainliest

Answer:12345678910

Step-by-step explanation:

Answer:

42.25 feet ³

Step-by-step explanation:

Volume of the box = length × width × height

Length = 6 1/2 feet = 6.5 feet

Width = 3.25 feet

Height = 2 feet

Volume of the box = length × width × height

= 6.5 feet × 3.25 feet × 2 feet

= 42.25 feet ³

Volume of the box = 42.25 cubic foot

Answer:

18

Step-by-step explanation:

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18

Answer:

144 ounces

Step-by-step explanation:

Answer:

(20, -2)

Step-by-step explanation:

Given the coordinate vectors p=(4,3) and q=(-2,7),

4p - 2q  = 4(4, 3)- 2(-2, 7)

4p - 2q  = (16, 12) - (-4, 14)

4p - 2q  = (16+4, 12-14)

4p - 2q  =(20, -2)

hence the required vector is (20, -2)

Answer:

110

Step-by-step explanation:

Answer:

60w+90

Step-by-step explanation:

That would be the simplified expression

Answer:

[tex]\frac{2}{13}[/tex]

Step-by-step explanation:

Since there are 26 students in the class and 6 play basketball, 15 play baseball, and 9 play neither, we need to find the intersection ([tex]\cap[/tex]) of the students who play basketball and the students who play baseball to find the number of students who play both.

Since it would appear that we would have 30 students total if we added up the ones who play basketball, baseball or neither, the intersection will be the difference between this total and the actual number of students in the class (26).

Therefore, the number of students who play both sports is [tex]6+15+9-26=4\:\text{students}[/tex]

Since there are 26 students in the class, the probability of randomly choosing one that plays both sports is:

[tex]\frac{4}{26}=\boxed{\frac{2}{13}}[/tex]