Please help with this

Answer:

x = 16

y = 20

Step-by-step explanation:

the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.

since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²

; 9² + 12² = c²

; 225 = c²

;√225 = c

; 15 = c

since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',

; [tex]\frac{Sin x}{9} = \frac{sin90}{15}[/tex]

; [tex]\frac{Sin 90}{15}[/tex] x 9 = Sinx

36.86 = x

now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.

; 90 - 36.86 = 53.13

[tex]\frac{y}{Sin 90} = \frac{12}{Sin 36.86}[/tex]

; [tex]\frac{12}{sin 36.86}[/tex] x Sin 90 = 20

y = 20

again, since we have 2 sides of a right angled triangle we use a² + b² = c²

we arrange this formula since we have the hypotenuse

; 20² - 12² = 256

; √256 = x

; 16  = x

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, scaled copy to original

scale factor = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

I believe it would be B. SAS

Step-by-step explanation:

You have two sides and one angle that are congruent in both

Answer: 18

Step-by-step explanation:

I just found the number in between  

Answer:

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

Step-by-step explanation:

The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{4(32)}[/tex]

= [tex]\sqrt{128}[/tex]

= [tex]\sqrt{64(2)}[/tex]

= [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex]

= 8[tex]\sqrt{2}[/tex]

Answer:

[tex]13194.7\ mm^2[/tex]

Step-by-step explanation:

The total surface area of a cone is given by:

Surface area = [tex]\pi r(r+\sqrt{h^2+r^2} )[/tex]

where r is the radius of the cone, h is the height of the cone, l is the length of the cone = [tex]\sqrt{h^2+r^2}[/tex]

Given that h = 136 mm, r = 60 mm /2 = 30 mm, l = 140 mm. Also the top of the cone is not included in the surface area, hence the surface area becomes:

[tex]Surface \ area=\pi r(\sqrt{h^2+r^2} )=\pi rl\\\\Surface \ area=\pi (30\ mm)(140\ mm)=13194.7\ mm^2[/tex]

Decimal form is 3.96811878

Answer:

1

Step-by-step explanation:

2m + 4 = 6

2m = 6 - 4

2m = 2

m = 1

the answer is one.. ....

Answer:

5.8

Step-by-step explanation:

Answer:

The number is 222

Step-by-step explanation:

The given parameters are;

The method Ashley models the 3 digit number = A mix of six base-ten blocks

The digits of the 3 digit number are equal

Therefore, given that in a 3 digit number, we have, hundreds, 100s, tens, 10s, and units, 1s, we can find the digits as follows;

Let 'x' represent the number of hundreds digits, let 'y' represent the number of tens digits and let 'z' represent the number of units digits, we have;

x = y = z...(1)

x + y + z = 6...(2)

Substituting the value of x = y, and x = z from equation (1), in equation (2), we get;

x + y + z = x + x + x = 6

∴ 3·x = 6

∴ x = 6/3 = 2

x = 2 = y = z

Therefore, the 3-digit numbers xyz = 222

Answer:

Part A : 1/62   Part  b : 1/60

Step-by-step explanation:

Well lets start with part A

(62)x=1

anything in parenthesis means multiply

62x= 1

divide everything by 62 to get x by itself

x= 1/62

Part A : 1/62

Part B : 60x = 1

x = 1/60

because same  reasoning

Answer:

Step-by-step explanation:

A=bh A=7*8 A=56units^2

Answer:

34

Step-by-step explanation:

i think its 34

Answer:

3.26 hours

Step-by-step explanation:

speed = distance / time

595 = 1940 / t

t = 1940 / 595  = 3.26 hours

or

Given:

In triangle UVW, X is the midpoint of UV and Y is the midpoint of VW.

[tex]m\angle XYV=7x+21[/tex]

[tex]m\angle UWY=91-7x[/tex]

To find:

The measure of angle XYV.

Solution:

Since X is the midpoint of UV and Y is the midpoint of VW, therefore XY is the mid-segment of the triangle UVW and parallel to the base of the triangle, i.e., UW.

If a transversal line intersect two parallel lines, then the corresponding angles are congruent and their measures are equal.

[tex]\angle XYV \cong \angle UWY[/tex]         [Corresponding angle]

[tex]m\angle XYV=m\angle UWY[/tex]

[tex]7x+21=91-7x[/tex]

We need to solve this equation for x.

[tex]7x+7x=91-21[/tex]

[tex]14x=70[/tex]

[tex]x=\dfrac{70}{14}[/tex]

[tex]x=5[/tex]

Now,

[tex]m\angle XYV=7x+21[/tex]

[tex]m\angle XYV=7(5)+21[/tex]

[tex]m\angle XYV=35+21[/tex]

[tex]m\angle XYV=56[/tex]

Therefore, the measure of angle XYV is 56 degrees.

Answer:

0.25 and 25% are equivalent

Step-by-step explanation:

Answer:

B)

Step-by-step explanation:

to get the converse, interchange the hypothesis and conclusion

in this case the hypothesis is "if it is snowing" and the conclusion is "then it is my birthday"

Converse would then be "If it is my birthday, then it is snowing"

What are the following algebraic equations? You need to post those if you want the answer.

Answer:

y=-5x-9

Step-by-step explanation:

Answer:

Value of An if n is 17 = -834

Step-by-step explanation:

Given:

A100 = 245

d = 13

n = 17

Find:

Value of An if n = 17

Computation:

An = a + (n-1)d

A100 = a + (100-1)13

245 = a + (99)17

245 = a + 1,287

a = 245 - 1,287

a = -1,042

So,

Value of An if n = 17

An = a + (n-1)d

A17 = -1,042 + (17-1)(13)

A17 = -1,042 + (16)(13)

A17 = -1,042 + 208

A17 = -834

Value of An if n is 17 = -834

Answer:

let first equation be  y=x^2-14x+23

second equation be y=-3x+5

now substitute the vale of y in equation second

y=-3x+5

x^2-14x+23=-3x+5

x^2-14x+3x=5-23

x^2-11x=-18

x^2-11x+18=0

x^2-(9+2)x+18=0

x^2-9x-2x+18=0

x(x-9)-2(x-9)=0

(x-2)(x-9)=0

either x-2=0                                        Or, x-9=0

x-2=0

x=0+2

x=2

x-9=0

x=0+9

x=9

therefore x=2,9

Step-by-step explanation:

-

Answer:

(2, - 1 ) and (9, - 22 )

Step-by-step explanation:

Given the 2 equations

y = x² - 14x + 23 → (1)

y = - 3x + 5 → (2)

Substitute y = x² - 14x + 23 into (2)

x² - 14x + 23 = - 3x + 5 ( subtract - 3x + 5 from both sides )

x² - 11x + 18 = 0 ← in standard form

(x - 2)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 9 = 0 ⇒ x = 9

Substitute these values into (2) for corresponding values of y

x = 2 : y = - 3(2) + 5 = - 6 + 5 = - 1 ⇒ (2, - 1 )

x = 9 : y = - 3(9) + 5 = - 27 + 5 = - 22 ⇒ (9, - 22 )

Answer:

4.03cm

Step-by-step explanation:

Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.

To get the diameter, we will use the pythagoras theorem as shown;

d² = 7² + 4²

d² = 49 + 16

d² = 65

d = √65

d = 8.0622577

Since radius = d/2

radius = 8.0622577/2

radius = 4.0311288

Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm

Answer:

[tex]there \: are \: 8 \: values \\ = \frac{8}{17} \times 100\% \\ = 47\%[/tex]

Answer:

[tex]6[/tex]

[tex]16[/tex]

Step-by-step explanation:

[tex] \frac{x}{12} + \frac{y}{3} = 2[/tex]

[tex] \frac{y}{3 } = 2 - \frac{x}{12} [/tex]

[tex]y = 3( 2 - \frac{x}{12} )[/tex]

[tex]y = 6 - \frac{x}{4} [/tex]

[tex]y = - \frac{x}{4} + 6[/tex]

[tex] {x}^{2} - 8x + c[/tex]

[tex] {x}^{2} + c - 18[/tex]

To find the c value ,

[tex]c = ( \frac{b}{2} {)}^{2} [/tex]

divide the coefficient of x by 2 and square the result.

[tex]( - 1 \times 4 {)}^{2} [/tex]

[tex]( - 4 {)}^{2} [/tex]

[tex]16[/tex]

Answer: B & D

Step-by-step explanation:

Answer:

landslide

Step-by-step explanation:

Answer:

I believe that the answer might be the second one

Volcanic Eruption

Hi there!  

»»————-　★　————-««

I believe your answer is:  

D) {(1, 2), (2,4), (−1, 2), (0,3)}

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

Option A's answer is incorrect, as the domain value of '5' repeats.

{(5, 0), (0, 1), (5, 2), (4,4)}  

⸻⸻⸻⸻

Option B is not a function due to the repeating '-4' value.

{(0, 1), (−4, 1), (4, 2), (−4,−1)}

⸻⸻⸻⸻

The '3' in option C's given relation repeats.

{(3, 2), (2,1), (−1, 2), (3,3)}

⸻⸻⸻⸻

Option D is the correct answer, as there are no domain values that repeat.  

{(1, 2), (2,4), (−1, 2), (0,3)}

Therefore, option D is a function.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

She swims 9m in one second

Step-by-step explanation: