A. Dilation

B. Rotation

C. Reflection

D. Translation

Answer:

BC = 30.73

Here,

[tex]\sf \frac{AB}{BQ} = \frac{CD}{DQ}[/tex]

so first solve for QD

[tex]\sf \hookrightarrow \frac{32}{15} = \frac{19.2}{DQ}[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =19.2(15)[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =288[/tex]

[tex]\sf \hookrightarrow DQ =9[/tex]

Now! using Pythagoras theorem,

Answer:

BC = 30.7 units (nearest tenth)

Step-by-step explanation:

As ∠AQR = ∠CQR  then ∠AQB = ∠CQD

This means that ΔABQ ~ ΔCDQ

Therefore, the side lengths of two similar triangles are proportional.

[tex]\begin{aligned} \sf \dfrac{AB}{CD} & =\sf \dfrac{BQ}{QD}\\\sf \implies \dfrac{32}{19.2} & =\sf \dfrac{15.0}{QD}\\\sf \implies QD & = \sf 9 \end{aligned}[/tex]

Pythagoras' Theorem:  [tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting values into the formula:

[tex]\begin{aligned}\sf 24^2+19.2^2 & = \sf BC^2\\\sf BC^2 & = \sf 944.64\\\sf BC & = \sf \pm\sqrt{944.64}\\\sf BC & = \sf 30.7 \ (nearest \ tenth)\end{aligned}[/tex]

(since distance is positive only)

hi hope this is what you were looking for, hope this helps.

Answer:

a. 144m

b. After 2 secs

c. Ball hits the ground after 5 secs.

d. 128m

Step-by-step explanation:

A To find max height, find derivative of equation, let it equal zero, and sub in value into original equation: h(t) = -16t² + 64t + 80 h'(t)=-32t+64 -32t+64=0 32t=64 t=2 h(2) = -16(2²) + 64(2) + 80 h(2) = -64+128+80 = 144m B When h=144, t=2. Therefore, the ball reaches its max height after 2 secs. C When the ball hits the ground, h=0: -16t² + 64t + 80=0 t²-4t-5=0 (simplified) (t-5)(t+1)=0 t=5 and t=-1 Discount t=-1 (time cant be neg). Ball hits the ground after 5 secs. D Find h when t=1: h(t) = -16t² + 64t + 80 h(1) = -16(1²) + 64(1) + 80 h(1) = -16+64+80 h(1) = 128m.

express the following rational algebraic expression to its simple form.show your solution

1. 25 ׳y³/ 75 ×⁴y⁴

Answer

Step-by-step explanation:

b) cylinder volume = π r^2 h = π*4*3= 12π = 37.68in^3

d) cone volume = .33π r^2 h = .33*π*225*50= 3750π cm^3

f) cuboid volume = l*b*h = 44*19= 836 in^3

e) hemisphere volume = 2/3 π*r^3 = 883.57ft^3

Answer:

x = 4

y = 8

Steps are given, below in the picture

I hope my answer helps you.

Step-by-step explanation:

Use trigonometric ratios to get one of the missing sides. Once you have that side you can use the theorem of pythagoras or you can use a trig ratio to get the remaining side.

SOH CAH TOA

I hope this helps, you can ask any questions for clarification

To write something in slope-intercept form

   ⇒ need to know what slope-intercept looks like: [tex]y = mx +b[/tex]

Let us first find the slope:

     Formula of slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

    Slope = [tex]\frac{4-6}{8-5} =-\frac{2}{3}[/tex]

Lets now write in point-slope form:

     ⇒ [tex](y-y0)=m(x-x0)[/tex]

   [tex]y - 6 = -\frac{2}{3} (x-5)[/tex]

To write it into slope-intercept form, we must solve for y

   [tex]y = -\frac{2}{3}(x-5)+6 =-\frac{2}{3}x+\frac{10}{3} +6\\y = -\frac{2}{3} x+\frac{10}{3}+\frac{18}{3} \\y = -\frac{2}{3}x+\frac{28}{3}[/tex]<-- slope-intercept form

Hope that helps!

Answer:

A

Step-by-step explanation:

3 * 10^2 is 300miles in 5hrs. that sounds more reasonable than the other options. have a good day! pls give brainliest

Answer:

Step-by-step explanation:

arc length= central length/360 (circumference)

GJ=90/360 (2π20)

GJ= 31.42

31.42

The length of arc GJ is 11.5133 unit.

In geometry, the arc length refers to the length of a portion of a curve or an arc of a circle. It is the distance along the curve between two endpoints of the arc.

We have,

m <GHJ = 66 and GH = 10 unit

Now, using arc length formula

= nπr / 180

= 66 x 3.14 x 10/ 180

= 11.5133 unit

Learn more about Arc length here:

https://brainly.com/question/31762064

#SPJ2

Answer:

Floating point(Decimal) is 0.1

Fraction is [tex]\frac{1}{10}[/tex]

10^-1 is going to be 0.1 in this case. This is because 10^-1 is the same as [tex]\frac{1}{10^1}[/tex], which is the same as [tex]\frac{1}{10}[/tex], because anything times 1 remains the same.

[tex]\frac{1}{10}[/tex] is the same as 0.1

We get a 2-in-1 answer, which is perfect for this scenario!

Hence, the correct answers are [tex]\frac{1}{10}[/tex] and 0.1

Answer:

B

Step-by-step explanation:

x² = 12 ( take square root of both sides )

x = ± [tex]\sqrt{12}[/tex] = ± [tex]\sqrt{4(3)}[/tex] = ± ( [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] ) = ± 2[tex]\sqrt{3}[/tex]

Answer:

A. 56 in3

Step-by-step explanation:

Formula for Volume; LWH

L * W * H = 4* 4 * 2

16 * 2 = 32(3)

(second half of the container)

LWH = 3 * 4 * 2

12 * 2 = 24(3)

32 + 24 = 56(3)

Break into two cuboids

In cuboid

Hence

#1

Volume:-

#2

Volume:-

Total:

Answer:

Bill go the better deal

Step-by-step explanation:

43.35/15=2.89

61.82/32=2.81

Answer:

I'm pretty sure domain is x and range is why which would mean that:

domain: -5,6

range: 5,8,-5

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting you time and I hope you find the right answer and may God bless you:)

Answer:

444

Step-by-step explanation:

Find F * k given F(x) = 3x^4 - 2x^3 - 12x^2-x, k = 4

F * k = F( ( k ) ( x ) )

Answer:

yes it can

.........................................

Answer:

Yes

Step-by-step explanation:

A linear function is a straight line and when we graph x=2 the line goes straight through x=2

Answer:

-28

Step-by-step explanation:

6|-5| - 3(2/3) + 7(-8)=

30 -2 -56

30 -58 = -28

Using proportions, it is found that the values that complete the table, from top to bottom, are given by: $670, $920, $1500, $2100.

A proportion is a fraction of a total amount.

Considering that the amounts in taxes correspond to 9% of the gross income, we have that for each family, we will find the incomes as follows:

Family 1:

0.09I = 60.30.

I = 60.30/0.09

I = $670.

Family 2:

0.09I = 82.80.

I = 82.80/0.09

I = $920.

Family 3:

0.09I = 135.00.

I = 135.00/0.09

I = $1500.

Family 4:

0.09I = 189.00.

I = 189.00/0.09

I = $2100.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

As can be observed, every term in the given sequence: 2, 4, 6, 8, ..., is an even positive integer, and is, therefore, a multiple of 2:

1st term: 2 = 2(1)

2nd term: 4 = 2(2)

3rd term: 6 = 2(3)

4th term: 8 = 2(4)

Additional terms:

5th term: 10 = 2(5)

6th term: 12 = 2(6)

7th term: 14 = 2(7)

8th term: 16 = 2(8)

Therefore, using this same pattern, we see that the nth term of the given sequence is: 2n, where n is a positive integer that indicates the desired term of the sequence. For example, the 500th term of the sequence is: 2n = 2(500) = 1,000.

Notice that we add 2 to each term in order to get to the next term.

Since we use addition, we have an arithmetic sequence.

Hence, the nth term is:-

n+2

Hope it helps!

Any queries - comment !

Answer:

Distributive Property

Step-by-step explanation:

You can distribute the 5 to the 6 and 9 in the parenthesis.

Answer:

distributive

is the letter A

Answer:

28

Step-by-step explanation:

radius= 14

circumstances of tire=?

Based on given conditions, formulate

circumstances= 2 multiply radius

= 2 multiply by 14

= 28

Step-by-step explanation:

negative correlation because the negative correlation moves towards the left.

Answer:

hypotenuse(?)

Step-by-step explanation:

Ariana paid a 3.6% interest rate on the loan.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.

We have been given data as:

Principal (P) = $2000

Simple interest = $144

Time (T) = 2 years

⇒ Simple interest  = P × R × T

Substitute the value of P and T in the above formula,

⇒ 144  = 2000 × R × 2

⇒ 144  = 4000 × R

⇒ R = 144/4000

Apply the division operation, and we get

⇒ R = 0.036

⇒ R = 3.6 %

Therefore, Ariana paid a 3.6% interest rate on the loan.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ2