The triangles have a scale of 3: 5. What is the value of a? *

Answer:

77 dogs

33 cats

Step-by-step explanation:

7+3 = 10

110 ÷ 10 = 11

11 x 7 = 77

11 x 3 = 33

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:

5.8

Step-by-step explanation:

Answer: B & D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

theres 3 ( x³, -3x, 3)

Answer:

A) x² - 3x + 3

Step-by-step explanation:

A trinomial is an algebraic expression consisting of three terms, which usually include a quadratic variable, a coefficient multiplied by a variable, and an integer.

In other words, a trinomial is a polynomial consisting of three monomials.

Answer:

[tex]speed = \frac{Distance}{time}[/tex]

York Canal

Distance = 5miles

Time = 15 minutes

[tex]speed = \frac{5}{15} = \frac{1}{3} miles\ per \ minute[/tex]

Stover Lake

Same speed  , S = 1/3 miles per minute

Time = 30minute

[tex]Distance = speed \times time = \frac{1}{3}\times 30 = 10 miles[/tex]

[tex]Distance_{York} = 5 miles\\\\Distance_{Stover} = 10 miles\\\\[/tex]

Clearly, Distance travelled in York in half the distance travelled in Stover

option. 3

Answer:

17 no for side c

take 37 degree as reference angle

using sine rule

sin 37 =p/h

0.60=6/c

0.60c=6

c=6/0.c0

c=10

for side d

using pythagors theorem

H^2=P^2+B^2

(10)^2=(6)^2+B^2

100=36+B^2

100-36=B^2

64=B^2

[tex]\sqrt{64}[/tex]=B

8=B

Step-by-step explanation:

Answer:

[tex]20 = \frac{Far \ arc - Near \ arc}{2}\\\\20 = \frac{160 - (2m +12)}{2}\\\\40 = 160 - (2m + 12)\\2m + 12 = 160 - 40\\2m = 120 -12\\2m = 108\\m = 54[/tex]

Answer:

m = 54

Step-by-step explanation:

The secant- secant angle 20° is half the difference of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] (160 - 2m - 12) = 20° ( multiply both sides by 2 to clear the fraction )

- 2m + 148 = 40° ( subtract 148 from both sides )

- 2m = - 108 ( divide both sides by - 2 )

m = 54

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]

Decimal form is 3.96811878

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:

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

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:

11/15

Step-by-step explanation:

P('Y' or 'R') = 5/15 + 6/15 which is 11/15

Answer:

y=-5x-9

Step-by-step explanation:

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]

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:

About 13.45 miles ( rounded )

Step-by-step explanation:

You would use the pythagorean theorem to solve this. ([tex]a^{2}[/tex]+ [tex]b^{2}[/tex] = [tex]c^{2}[/tex])

[tex]a^{2}[/tex] would be one length of that triangle, we'll use 9.

[tex]b^{2}[/tex] would be the other length of that triangle, we'll use 10.

So, now you have to square both of them.

[tex]9^{2}[/tex] = 81 ( 9 x 9 )  [tex]10^{2}[/tex] = 100 ( 10 x 10 )

Which you will get 81 and 100. Then you add those two numbers together.

100 + 81 = 181

Now that you have 181, you have to square root 181.

[tex]\sqrt{181}[/tex]

With that you should get 13.45 miles. (rounded)

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:

I believe it would be B. SAS

Step-by-step explanation:

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

Answer:

1

Step-by-step explanation:

2m + 4 = 6

2m = 6 - 4

2m = 2

m = 1

the answer is one.. ....

Answer:

Step-by-step explanation:

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

Answer:

34

Step-by-step explanation:

i think its 34

Answer:

3/10

Step-by-step explanation:

From the question, we have the total number of sampled students as 30

9 students said 7 was their favorite

So the experimental probability that we have 7 picked as the favorite number will be the number of respondents who chose 7 as their favorite divided by the total number of respondents

We have this as;

9/30 = 3/10

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:

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