Round 122.1587 to the nearest hundredth?

Answer:

the length of its altitude is 34.64 cm

Step-by-step explanation:

Given;

length of a side of the equilateral triangle, L = 40 cm

All the sides of an equilateral triangle are equal

To get the altitude of the triangle, draw a perpendicular line from one of the vertices to intersect the opposite side.

Let the altitude = h

half of the opposite side intersected by the altitude = 20 cm

Apply Pythagoras theorem to determine the altitude 'h'

h² = 40²  -  20²

h² = 1200

h = √1200

h = 34.64 cm

Therefore, the length of its altitude is 34.64 cm

Answer:

I think it's D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

They are anxious to get their results

Answer:

54

Step-by-step explanation:

I think it's 54

Answer:

60

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The weight of water is 0.036 pounds times the volume of water in cubic inches.

Volume of the tank = Length × Width × Height

= 14 × 25 × 38

= 13300 cubic inches

V

Answer:

D. 3(d + 8) and (d + 8) + (d + 8) + (d + 8)

II. 2.235

Step-by-step explanation:

Given the following data;

3 packages at $8 each = 3 * 8 = $24

3 pair of shoes at $d each = $3d

I. To find the total amount of money Cory spent;

Total = 3d + 24

Factorizing, we have;

Total = 3(d + 8)

II. To find the value of the expression;

Your expression isn't explicitly written but I'll assume it's this;

(14.72 - 10.25)/2 =

4.47/2 = 2.235

Answer: 10/3 or 3.33

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

7.5-1.5

=6

that is easy

Answer:

21484.952 ft^3

Step-by-step explanation:

a cube has the same edges so its basically

27.8^3

Answer:

83,749 bottles

Step-by-step explanation:

Each bottle contain = 355ml

Total water need to pack = 29,730,895 ml

So, we can calculate the number of bottles by using following formula,

Number of bottles required = Total water ÷ Each bottle contain

by putting the value, we get

Number of bottles required = 29,730,895 ÷ 355

= 83,749

Hence, total number of bottles required is 83,749.

Answer:

j

Step-by-step explanation:

Answer:

0,33

Step-by-step explanation:

x = 36,87

y = 73,74

tan(x/2)

= tan(36,87/2)

= tan (18,44)

= 0,33

Answer:

multiply both side by 2 which gives u tan x 2 is equal to X

multiply it and it will give u the answer But make sure your calculator is in degree mode

Answer:

Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.

Step-by-step explanation:

Dado que a una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan, y terminada la actividad, cada uno de los muchachos salió acompañado por una dama, y Hugo salió con la amiga de Nancy, mientras que Pamela, que no simpatiza con Nancy, salió antes que Manuel, para determinar con quién salió cada persona debemos realizar el siguiente razonamiento lógico:

Hugo = Amiga de Nancy (no es Pamela) = Susan

Pamela = Sale antes que Manuel (no sale con Hugo) = Coco

Nancy = Manuel

Por lo tanto, Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.

Answer:

So, after 6 months, they both have the same number of coins.  

Step-by-step explanation:

Jack has 56 coins

Jill has 80 coins

Jack collect 12 coins per month

Jill collect 8 coins per month

Let after m months, they both have the same coin.

56 + 12 m = 80 + 8 m

12 m - 8 m = 80  - 56

4 m = 24

m = 6

So, after 6 months, they both have the same number of coins.  

Answer:

n ≥ -5/14

Step-by-step explanation:

64n - 6 ≥ 36n -16

subtract 36n from each side

64n -36n - 6 ≥ 36n-36n -16

28n - 6 ≥  -16

add 6 to each side

28n -6+6 ≥  -16+6

28n ≥ -10

Divide each side by 28

28n/28 ≥ -10/28

n ≥ -5/14

Answer:

n ≥ -5/14

Step-by-step explanation:

64n - 6 ≥ 36n -16

subtract 36n from each side

64n -36n - 6 ≥ 36n-36n -16

28n - 6 ≥  -16

add 6 to each side

28n -6+6 ≥  -16+6

28n ≥ -10

Divide each side by 28

28n/28 ≥ -10/28

n ≥ -5/14

Answer:

100,000

Step-by-step explanation:

Because the 9 thousand is more than 5.

Answer:

7) [tex]x \to x - 3[/tex].

8) [tex]y \to y + 2[/tex]

9) The entire quadratic equation did not get reflected.

Step-by-step explanation:

7) A horizontal translation to the right is of the form:

[tex]x \to x - a[/tex]

Let [tex]y = -(x-3)^{2} + 2[/tex], then the horizontal translation is represented by [tex]x \to x - 3[/tex].

8) A vertical translation upwards is of the form:

[tex]y \to y + a[/tex]

Let [tex]y = -(x-3)^{2} + 2[/tex] , then the vertical translation is represented by:

[tex]y \to y + 2[/tex]

9) The only component of the quadratic equation that was reflected was the part [tex](x-3) ^{2}[/tex] along the x-axis. We can create the entire function by applying the following steps:

(i) [tex]f(x) = x^{2}[/tex] (Original function)

(ii) [tex]f(x) = (x-3)^{2}[/tex] (Horizontal translation)

(iii) [tex]f(x) = - (x-3)^{2}[/tex] (Reflection)

(iv) [tex]f(x) = -(x-3)^{2} + 2[/tex] (Vertical translation)

The entire quadratic equation did not get reflected.

Answer:

EF = 25 cm and FG = 35 cm

Step-by-step explanation:

After finding each scale factor for each of the 4 answers, only the last option is relatable. Every other option resulted in different numbers of EF and FG.

Answer:

D

Step-by-step explanation:

Answer:

15, 36, 39

Step-by-step explanation:

when these are squared they add up to 39 squared following the Pythagorean theorem

Answer:

Its option D :)

---

28° + y + 36° = 180°

Answer:

the 30% off is better because 30% of 55 is 16.5 and the coupon is for 15 so the 30% off is better.

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

x = 50

Step-by-step explanation:

the two angles at the bottom would he the same. Since the interior angles of a triangle must add up to 180 the you just subtract that from 180. 180-(65+65)=50

Answer:

x = 50

Step-by-step explanation:

Since the 2 sides are equal to each other, so are the angles. This is an isoceles triangle, by the way. All triangle interior angles add up to 180.

So, the equation is:

x + 65 + 65 = 180

x + 130 = 180

x = 180 - 130

x = 50

Answer:

He should travel directly

Step-by-step explanation:

Given

[tex]x = 0.5[/tex] --- East

[tex]y =1[/tex] --- North

If he goes through east north direction, the distance (d) traveled is:

[tex]d = x + y[/tex]

[tex]d = 0.5 + 1[/tex]

[tex]d = 1.5 mile[/tex]

If he travels directly, the distance (d) is:

[tex]d = \sqrt{x^2 + y^2}[/tex] ---- Pythagoras theorem

[tex]d = \sqrt{0.5^2 + 1^2}[/tex]

[tex]d = \sqrt{0.25 + 1}[/tex]

[tex]d = \sqrt{1.25}[/tex]

[tex]d = 1.12mile[/tex]

By comparison, he will travel the shortest distance if he travels directly because [tex]1.12 < 1.5[/tex]

Hence, he should travel directly