A family decides to hold two Christmas parties, one on Christmas Eve and one on Christmas Day. The youngest person to attend the Christmas Eve party is 15 and the oldest is 29. The youngest person to attend the Christmas Day party is 27 and the oldest is 42. Which party has a larger age range of visitors?

Answer:

97.12°

Step-by-step explanation:

the value of the highlight angle =

tan~¹ 1/3 + tan~¹ 5/1 =

18.43° + 78.69° = 97.12°

Answer: 9 months

Step-by-step explanation:

Given

Weight of the person is 206 lb

If he looses 2 lb per month, his weight after x months becomes 188 lb

Net Reduction in weight is [tex]206-188=18\ lb[/tex]

for 18 lb , time period is

[tex]\Rightarrow x=\dfrac{18}{2}\\\\\Rightarrow x=9\ \text{months}[/tex]

Answer:

4.04 metros

Step-by-step explanation:

Resolvemos la pregunta anterior usando la función trigonométrica de

tan θ = Opuesto / Adyacente

θ = 60 °

Frente = 7 metros

Adyacente =? = x

Por eso

bronceado 60 = 7 / x

Multiplicar cruzada

= tan 60 × x = 7

x = 7 / tan 60

x = 4.0414518843 metros

Aproximadamente = 4.04 metros

Answer:

true

Step-by-step explanation:

AUB=A+B-(A∩B)

Answer:

12/13 bags

Step-by-step explanation:

2/13 * 6 = 12/13

Answer:

Step-by-step explanation:

radius=diameter/2

=8/2

=4 m

volume of a cylinder =πr^2h

=3.14*(4)^2*13

=40.82*16

=653.12 m^3

Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]

Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]

In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]

Answer: The value of x is 184.

Step-by-step explanation:

According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.

Now calculating the value of x for the given pair of similar​ triangles.

According to the given figure:

24 × (2x - 8) = 45 × (x + 8)

(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)

48x - 192 = 45x + 360

48x - 45x = 360 + 192

3x = 552

x = 184

Thus, the value of x is 184.

a

0*5 =0

1*5=5

2*5=10

3*5=15

Answer:

V =128 pi

Step-by-step explanation:

The volume of the cylinder is given by

V = pi r^ h

V = pi 4^2 *8

V = pi *16*8

V =128 pi

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

Answer:

x   -   h(x)

0   -   1

1    -   3

2   -   5

3   -   7

Step-by-step explanation:

Just substitute the x value into the function

Cubic stack would mean all the sides are the same length.

The length of the side is given as 3 yards.

Volume = 3^3 = 3 x 3 x 3 = 27

Volume = 27 cubic yards.

Answer:

[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:

[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]

Solving for [tex]x[/tex]:

[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]

Substitute [tex]x=11[/tex] to solve for angle C:

[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]

Answer:

yes...

Step-by-step explanation:

Answer:

6 × (11 - x) = -72 => x = 23

or

6 × (x - 11) = -72 => x = -1

Step-by-step explanation:

there are at least two possibilities, as the "difference between two numbers a and b can be excised as either a-b or b-a.

in any case, just following the sentence

Six times = 6 ×

difference of 11 and a number = 11 - x

is -72 = -72

so,

6 × (11 - x) = -72

and that is true for x = 23

but

the other direction is possible too

6 × (x - 11) = -72

and that is true for x = -1

5√2

Step-by-step explanation:

By the Pythagorean theorem,

A² + B² = C²

5² + 5² = C²

25 + 25 = C²

C² = 50

C = √50

C = √(2 • 25)

C = √2 x √25

C = √2 • 5

C = 5√2

Answer:

5[tex]\sqrt{2\\}[/tex]

Step-by-step expla

chọn  tam giác ==> cạnh huyền là đường chéo của hình vuông  ảg

sin(∝)= đối / huyền

⇒huyền= đối /sin(45°)

⇒huyền=  5/ sin(45°)

⇒huyền=  5[tex]\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

One solution if they intersect (which is the case), and zero if they are parallel and apart, and infinite if they are parallel and coincident, two lines piled on top of each other.

Answer:

:)

Step-by-step explanation:

ok so first you have to find the area of the white triangles, so the first one is 2 x 4= 8 cm2 and the second one is 3 x 2.5= 7.5 cm2, 8+7.5= 15.5 cm2, so the non-shaded region is 15.5 cm2, ok now find the area of the whole rectangle and subtract 15.5 from it hope this helped :)

Answer:

<1 is 45○

Step-by-step explanation:

180-90 = 90

90 / 2 = 45

Answer:

Each angle=60°

Answer:

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

sin x = O/H

cos x = A/H

tan x  = O/A

where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.

sin x = f/d

cos x = e/d

tan x = f/e

Step-by-step explanation:

The trigonometric ratio's as per given side length of a triangle are as follow,

cosx = f/e , sinx = d/e , and tanx = d/f.

Let us consider triangle name as ABC,

Measure of angle ABC = x degree

Measure of angle BAC = 90 degree

Side length AB = f

Side length AC = d

Side length BC = e

For angle x ,

AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.

cosx = adjacent side / hypotenuse

       = f / e

sinx = opposite side / hypotenuse

       = d / e

tanx  = opposite side / adjacent side

       = d / f

Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.

learn more about triangle here

brainly.com/question/29122914

#SPJ2

Answer:

15

Step-by-step explanation:

You would divide 2 by 12 first and then multiply it by 90.

Answer:

Step-by-step explanation:

90 * (2 ÷ 12)

90 *([tex]\frac{1}{6}[/tex])

90*1/6

90/6

15

therefore 15 is the required answer.

Answer:

yes i can help you with all the time