Please help!!!

Triangle ABC is similar to triangle PQR
AB = 4cm
PQ=12cm
RQ= 16.5 cm
AC = xcm
PR= ycm

(a) Calculate the length of BC


(b) Write down an expression for y in terms of x

Check the picture

The surface area of the actual ramp including the underside is 16.8 ft²

The height of the actual ramp = 1.2 feet  

The height of the model = 6 cm

A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Scale factor = 1.2 feet / 6 cm = 0.2 ft/cm

Actual base = 16 cm × 0.2 ft/cm = 3.2 ft

convert the units

9 cm = 9 cm × 0.2 ft/cm = 1.8 ft

10 cm = 10 cm × 0.2 ft/cm = 2 ft

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Surface area of actual ramp = 2(0.5 × 3.2 ft × 1.2 ft) + 2(2 ft × 1.8 ft) + (1.8 ft × 3.2 ft)

= 16.8 ft²

Hence, the surface area of the actual ramp including the underside is 16.8 ft²

Learn more about the area here:

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Answer:

7.2 yd² for K12

Answer:

It is 25.13 (simplified)

Step-by-step explanation:

3.14(pi) x 8 is 25.14

Answer:

I'm taking the test right now so i'll tell you the right answer after I submit my test but for now I think it's C.

Answer:

The answer is 1.5

pls give brainliest ily<3

Step-by-step explanation:

law of sine :

a/sinA = b/sinB = c/sinC

with the sides and correlating angles being always opposite to each other.

we are dealing with a right-angled triangle here.

the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.

the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.

the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.

so, we have

1600/sin(90) = elevation difference / sin(1.6)

sin(90) = 1

1600 = elevation difference / sin(1.6)

elevation difference = 1600 × sin(1.6) =

= 1600 × 0.027921639... =

= 44.67462196... ft

≈ 44.7 ft

Answer:

Square

Step-by-step explanation:

Requirements that make a square, a square;

Answer:

Square

Explanation:

A square has four congruent angles as each angle measure is 90°. A square can never have an angle other than 90°. A square also has all four equal sides, and its opposite side lengths are parallel because all angles of a square must be 90°.

Please look at attached image for reference.

Answer:

x = 5

y = 2

Step-by-step explanation:

multiply by -2 the second equation and add the first equation to eliminate "x"

[tex]4x+5y=30\\-4x-10y=-40[/tex]

_______________

            [tex]-5y=-10\\y=\frac{-10}{-5} =2[/tex]

To find "x", substitute the value of "y" in any equation. I do it in the first

[tex]4x+5(2)=30[/tex]

[tex]4x+10=30[/tex]

[tex]4x=30-10\\x=20/4=5[/tex]

Hope this helps

Answer:

i got you

Step-by-step explanation:

first you will make the easiest equation into y=mx+b

2x=5y=20

subtract 2x from it self and 20, you will eliminate the 5 but keep the y then you will get y=2x+20

then you will substitute it into the y in the other equation 4x+5(2x+20)=30

after doin that you will multiply 5 by both the number in the parenthesis

4x+15x+100=30 add like terms 4x+15x =

19x+100=30 subtract 100 fromm itself and 30 you will get -70

-70 divided by 19x then you will get your answer

Answer: 15 mins

Step-by-step explanation:

20 ÷ 8 = 2.5 (how many Mins 1 part takes)

2.5 x 6 = 15

It will take 15 minutes does it take to make 6 parts.

The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

If 8 parts take 20 minutes to make then 1 part take x time which is equal to;

[tex]\rm x=\dfrac{20}{8}\\\\x= 2.5 \rm \ minute[/tex]

One part takes 2.5 minutes.

The minutes does it take to make 6 parts are;

[tex]= 6 \times 2.5\\\\=15[/tex]

Hence, it will take 15 minutes does it take to make 6 parts.

To know more about the unitary method click the link given below.

https://brainly.com/question/13823511

#SPJ4

Step-by-step explanation:

4)For answer of no 4

the third side can be gotten by pythagoras theorem;

It says,

hyp^2=opp^2 + adj^2

hyp= ?

opp=30

adj=40

so,

hyp^2=30^2 + 40^2

hyp^2=900+1600

hyp^2=2500

square rooting both sides,

hyp=50ft

Therefore the missing side is 50ft

5) for number 5

opp is missing

remember,

hyp^2=opp^2+adj^2

opp^2= hyp^2-adj^2

opp^2=41^2-40^2

opp^2=1681-1600

opp^2=81

square rooting both sides,

0pp=9Inches

Answer:

  1/(8b^2a^8)

Step-by-step explanation:

The given expression can be simplified using the rules of exponents.

  [tex]ba^4\times(2ba^4)^{-3}=\dfrac{ba^4}{(2ba^4)^3}=\dfrac{ba^4}{8(ba^4)^3}=\dfrac{1}{8(ba^4)^2}=\boxed{\dfrac{1}{8b^2a^8}}[/tex]

__

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Additional comment

It can be useful to think of an exponent as indicating repeated multiplication: 2^3 = 2×2×2, for example. Of course, the repeated multiplication can be nested: (4^2)^3 = (4^2)×(4^2)×(4^2) = (4×4)×(4×4)×(4×4) = 4^6

Numerator and denominator factors cancel in the usual way.

Answer:

yes it will

Step-by-step explanation:

28+28=56

124+56=180

a triangle consists of angles that add up to 180 degrees

Answer:

18 kilometers

Step-by-step explanation:

If each 1 cm represents 9 kilometers.

How many would 2 cm represent?

[tex]x = \frac{9 \times 2}{1} = 9 \times 2 = 18[/tex]

Answer:

no

Step-by-step explanation:

0.06 = [tex]\frac{6}{100}[/tex] ← that is 6 books out of 100

she requires to have 60 out of 100 , that is

[tex]\frac{60}{100}[/tex] = 0.6

Answer:

Step-by-step explanation: After purchasing 21 DVDs the membership is worth the money with a total spending of 104 dollars compared to 105 dollars without the membership.

Membership: -20, -24, -28, -32, -36, -40, -44, -48, -52, -56, -60, -64, -68, -72, -76, -80, -84, -88, -92, -96, -100, -104
No Membership: 0, -5, -10, -15, -20, -25, -30, -35, -40, -45, -50, -55, -60, -65, -70, -75, -80, -85, -90, -95, -100, -105

Answer:

It's friday for me so here u go

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer: (x-4)(x+5)

x^2 + x - 20

x^2 + 5x -4x -20

x^2 + 5x - 4x - 20

x(x+5) -4 (x+5)

x(x+5)-4(x+5)

(x-4)(x+5)

Answer:

73+77+85+84+34+115 and the basket ball team got from the game

Answer:  She observed older fossils that contained many of the same minerals as the newer ones

Step-by-step explanation:

Answer:

chaupapi

\\

Step-by-step explanation:

Answer:

See below ↓

Step-by-step explanation:

a. Graph shown Below.

b.

domain : x ≥ 0

range : f(x) ≥ 0

c.

rate of waves:

[tex]\sf f(x) = 3.13\sqrt{x}[/tex]

the wave is 10 m above the sea

[tex]\sf f(x) = 3.13\sqrt{10}[/tex]

[tex]\sf f(x) = 9.9 \ m/s[/tex]

[tex] \frac{ - 3}{10} \times ( - 0.1)[/tex]

[tex] \frac{ - 3}{10} \times \frac{ - 1}{10} [/tex]

–3 × –4

10

[tex] \frac{12}{10} [/tex]

[tex] \frac{6}{5} answer[/tex]

Answer:

hope this helps

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

C666666666666666666666

Answer:

3

Step-by-step explanation:

81^(¼) can also be witten as the fourth root of 81, which happens to be 3.

Answer:

3

Step-by-step explanation:

(3*(to the fourth power))1/4

Given that the tangent KL to the circle at point J and the interior triangles ∆JGL, and ∆JFL, we have;

C. mHJL = mJGH

D. mGHJ = mKJG

From the tangent secant interior angles measure theorem, we have;

mHJL = 0.5•mJFH

mJGH = 0.5•mJFH

Therefore;

Similarly

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Answer:

Its A

Step-by-step explanation

just trust me

2 flavors and 4 scoops

total different possibilities = 2^4 = 16

answer: 16

Answer:

y= -1/2x

Step-by-step explanation:

Option B passes through the origin, by -1/2x

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 15000}}{\left( \cfrac{20}{100} \right)15000}\implies 30000[/tex]