In the figure below, triangle ABC is similar to triangle PQR:

A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 4, length of BC is 2. A similar right triangle; triangle PQR, which is triangle ABC enlarged and reflected across a horizontal line, is drawn near it. The right angle is at Q. Angle A is congruent to angle P and angle C is congruent to angle R. The length of QR is 12.

What is the length of side PQ?

48
24
40
18

Answer:

Step-by-step explanation:

Start by finding the radius

d = 8

r = d/2

r = 8/2

r = 4

Next find the height

the height = 3 times the radius

the height = 3 * 4

The height = 12

Volume = pi * r*r * h

pi = 3.14

r = 4

h = 12

V = 3.14 * 4 * 4 * 12

V = 602.88

Answer:

A & C

Step-by-step explanation:

Answer:

range

Step-by-step explanation:

Answer:

B. range.

Step-by-step explanation:

others are:

» Standard variation.

» Interquatile range.

» Quatiles, deciles and percentiles.

» variance.

[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]

Answer:

B 19,000

Step-by-step explanation:

;------------------------;

The sum that represents the number of tickets sold if 35 tickets were sold Monday, half of the remaining tickets were sold on Tuesday and 14 tickets were sold on Wednesday.

To start solving this, we can assign t as the variable to the total number of tickets that were sold. So, t = 35 (for Monday) + (t - 35)/2 (for Tuesday) + 14 (for Wednesday). To solve this, we can say t = 49 + (t - 35)/2, or 2t = 98 + t - 35, which equals t = 63. Therefore, 63 tickets were sold total.

Answer:

t(10) = 15

Step-by-step explanation:

5 - (-3)/ 5 - 1

= 2

t(n) = t1 + (n - 1)(d)

t(10) = -3 + (10 - 1)(2)

t(10) = -3 + (9)(2)

t(10) = -3 + 18

t(10) = 15

Answer:

3x^3y^7.

Step-by-step explanation:

8 * x^2 * y^3 * 3/8 * x * y^4

= 8 * 3/8 * x^2 * x * y^3 * y^4

= 3x^3y^7.

Answer:

3x^3y^7

Step-by-step explanation:

( 8 x^2 y^3) *( 3/8 x y^4)

Multiply the coefficients

8 * 3/8 = 3

Multiply the x terms

x^2*x = x^3

Multiply the y terms

y^3 * y^4 = y^(3+4) = y^7

Put them back together

3x^3y^7

Answer:

Let, the c.p be x.

Given,

profit % = 20%

S.P = rs 816

c.p = x

We know,

profit = p% of c.p

         = [tex]\frac{20}{100}[/tex] * x

         = [tex]\frac{x}{5}[/tex]

now,

   C.p = profit + s.p.

        x = [tex]\frac{x}{5}[/tex] + 816

        x = [tex]\frac{x+ 4080}{5}[/tex]

       5x = x + 4080

       5x-x = 4080

       4x = 4080

         x = [tex]\frac{4080}{4}[/tex]

         x = Rs 1080

Hence, the c.p is Rs. 1080

[tex]\\ \sf\longmapsto f(2+h)[/tex]

[tex]\\ \sf\longmapsto 4(2+h)-3[/tex]

[tex]\\ \sf\longmapsto 4h+8-3[/tex]

[tex]\\ \sf\longmapsto 4h+5[/tex]

Answer:

Option C is correct

Step-by-step explanation:

[tex]y−6=−4(x+1) \\ [/tex]

[tex]y−6=−4x−4 \times 1[/tex]

[tex] y−6=−4x−4 [/tex]

[tex]y=−4x−4+6 [/tex]

[tex]y=−4x+2[/tex]

Answer:

b=8

Step-by-step explanation:

7b-7-8b=-15

Combine like terms

-b-7=-15

Add 7 on both sides

-b=-15+7

-b=-8

Divide by -1

b = 8

Answer: b = 8

Step-by-step explanation:

Given

7b - 7 - 8b = -15

Combine like terms

-b - 7 = -15

Add 7 on both sides

-b - 7 + 7 = -15 + 7

-b = -8

Divide -1 on both sides

-b / -1 = -8 / -1

b = 8

Hope this helps!! :)

Please let me know if you have any questions

3x²–243=0 —> 3 (x²–81) = 0 —>

x²–81=0 —> (x-9)(x+9)=0

x-9=0 —> x=9

x+9=0 —> x=–9

I hope I helped you^_^

Answer:

Given equation:

To plot the line first find two points:

Plot (0, -3) and (5, -1) and connect the points with a line. This will be the required line.

Use Pythagorean to find the missing leg:

Answer:

72?

Step-by-step explanation:

V=whl=4 x 2 x9=72

Answer:

6x^2 + 24x

Step-by-step explanation:

Answer:

51 I hope it will help you

Step-by-step explanation:

mark me as a brainlist answer

Answer:

51

Step-by-step explanation:

Plug in z

(6)^2 + 3(6) - 3

36+18-3

54-3= 51

Answer:

x = 5

Step-by-step explanation:

B, bisects AB. So, AB = BC

AC = AB  +BC

     = AB + AB

AC = 2AB

[tex]\dfrac{1}{2}AC = AB\\\\AB = \dfrac{1}{2}AC\\\\2x + 10 =\dfrac{1}{2}*40\\\\2x + 10 = 20[/tex]

Subtract 10 from both sides,

2x = 20 - 10

2x = 10

Divide both sides by 2

x = 10/2

x = 5

Answer: 180 gallons

Step-by-step explanation:

If you take 8 times 6 you get 48, now take 132 plus 48 and you get 180.(hope this helped):)

Answer:

true?

Step-by-step explanation:

A rational number can be expressed as the quetient a\b where b=0 is true

Answer:

I'm not so sure but i guess it's option D y=5x-3

the question said that the number of box of nails are purchased depending on how many houses they planned to build. so for knowing the boxes of nails they need to purchase they need to subtract the boxes which were left and the boxes we need now

Answer:

Step-by-step explanation:

The circumference formula is

C = 2πr. If we are solving the for the radius, and we are using 3.14 for π, we can fill in accordingly:

106.76 = 2(3.14)r and

[tex]\frac{106.76}{2(3.14)}=r[/tex] so

r = 17

Answer:

as per the statement we form an algebraic equation as

3(x+4) = 20

3x + 12 = 20

3x = 8

x = 8/3

as per my understanding that's the answer

Answer:

$121.81

Step-by-step explanation:

A=  4000(1+.03/365)^365

[tex]4000\left(1+\frac{0.03}{365}\right)^{365}=4121.81305\dots[/tex]

Total interest earned on Sandra’s card after 1 year is $4,121.81

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A=P(1+r/n[tex])^{nt}[/tex]

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Given,

A=P(1+r/n[tex])^{nt}[/tex]

Sandra makes a credit card purchase for $4,000 that compounds interest daily.

P = $4,000

r =3%

t = 1 year

A=P(1+r/n[tex])^{nt}[/tex]

Substitute the values of P, r and t in the formula,

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 4,000.00(1 + 0.03/365)(365)(1)

A = 4,000.00(1 + 8.2191780821918E-5)(365)

A = $4,121.81

Therefore, total interest earned on Sandra’s card after 1 year is $4,121.81.

To learn more about the compound interest rate;

https://brainly.com/question/13307568

#SPJ5

Answer:

E.  12

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse

1 : √3 : 2

The short leg is 4√3.

The long leg is √3 times the short leg.

a = 4√3 * √3 = 4 * √9 = 4 * 3 = 12

Answer: E.  12

Answer:

Median = 15

Mean = 22

Step-by-step explanation:

Median = first lets arrange the data type from smallest to biggest and select the middle number as it will be our median

1, 11, 14, 15, 31, 35, 47

the middle number is 15

so 15 will be our median

Mean = [tex]\frac{sum of all numbers }{total numbers\\}[/tex] sum of all numbers divided by the number of values in the set

[tex]\frac{1 + 11 + 14 + 15 + 31 + 35 + 47}{7}[/tex]

= [tex]\frac{154}{7}[/tex]

= 22

so our mean will be 22

Answer:

x=12

Step-by-step explanation:

you have to group the like terms in order to solve this equation, this will result to;

5/2x-3/4x=14+7

1.75x/1.75=21/1.75

x=12

I hope this helps

Required solution :

The given equation is,

⇒ 5x - 14 / 2 = (3 / 4)x + 14

Transposing 14 from R.H.S. to L.H.S.,

⇒ (5x - 14 / 2) - 14 = (3/4)x

⇒ 5x - 14 - 28 / 2 = 3x / 4

⇒ 5x - 42 / 2 = 3x / 4

⇒ 4 (5x - 42) / 2 = 3x

⇒ 4 × (5x - 42) / 2 = 3x

⇒ 2 (5x - 42) = 3x

⇒ 10x - 84 = 3x

⇒ 10x - 3x = 84

⇒ 7x = 84

⇒ x = 84 / 7

⇒ x = 12

Therefore, option d that is 12 is correct.

Answer:

Individual package would be 3.83

Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3

Answer:

14...

area = 1/2 b h

b= 7-0 = 7 ... 7/2 = 3.5

h = 7-3 = 4

3.5 * 4 = 14

Step-by-step explanation: