If ABCD is dilated by a factor of 2, the

Rectangle 1 has length 10 and width 20. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k=3

Gwar [14]

Answer:

30cm, 60cm

Step-by-step explanation:

Given data

Dimensions of the first rectangle

Length =10cm

Width =20cm

We are told that the dimensions of the second rectangle is gotten by multiplying the first rectangle by 3

Hence the dimensions of the second rectangle is

Length =10*3= 30cm

Width = 20*3= 60cm

5 0

3 years ago

Please help me 33/2 + 3y/5 = 7y/10 + 15

8090 [49]

We are given with an equation in variable y and we need to solve for y . So , now let's start !!!

We are given with ;

${:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}$

Take LCM on both sides :

${:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}$

Multiplying both sides by 10 ;

${:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}$

${:\implies \quad \sf 165+6y=7y+150}$

Can be further written as ;

${:\implies \quad \sf 7y+150=165+6y}$

Transposing 6y to LHS and 150 to RHS

${:\implies \quad \sf 7y-6y=165-150}$

${:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}$

8 0

2 years ago

What is the volume of a cylinder with a diameter of 8 name m and a height of 5.5

Cerrena [4.2K]

To begin, you must plug all the values you have into a formula, and also putting them in the right form.

The formula for the volume of a cylinder is: πr²h

FINDING RADIUS: With this in mind, now we know that, our diameter must be converted to a radius. To do this, you divide your diameter by two. This gives you, 4 as your radius.

FINDING HEIGHT: In the question you sent, you can tell they've given you, your height, so all you need to do is plug it into the equation.

PLUGGING IT IN:

Your pi, stays the same when using a calculator, just press your pi symbol depending on the calculator you are using. Your radius is 4, therefore it wants you to square it, which is 4x4, which equals 16. Next, you want to multiply it by the height, so just multiply it with your height, 5.5

YOUR ANSWER:

276.46m

6 0

3 years ago

In ∆ABC with m∠C = 90° the sides satisfy the ratio BC:AC:AB = 4:3:5. If the side with middle length is 12 cm, find: 1) The perim

olga55 [171]

*The side with the middle length is 12cm, therefore BC must be 12 cm

------------------------------------------------------------
Ratio
-----------------------------------------------------------
BC:AC:AB
4 : 3 : 5

-----------------------------------------------------------
Find 1 share
-----------------------------------------------------------
Given that BC = 12 cm
4 shares = 12 cm
1 share = 12 ÷ 4 = 3cm

-----------------------------------------------------------
Find AC (4 shares)
-----------------------------------------------------------
3 shares = 3 x 3 = 9 cm
BC = 9cm

-----------------------------------------------------------
Find AB (5 shares)
-----------------------------------------------------------
5 shares = 5 x 3 = 15cm
AB = 15cm

------------------------------------------------------------
Length
-----------------------------------------------------------
BC : AC : AB
12cm : 9cm : 15cm

------------------------------------------------------------------
Perimeter
------------------------------------------------------------------
12 + 9 + 15 = 36cm

------------------------------------------------------------------
Answer: The perimeter is 36cm
------------------------------------------------------------------

------------------------------------------------------------------
Area
------------------------------------------------------------------
1/2 x 9 x 12 = 54cm²

------------------------------------------------------------------
Answer: Area = 54cm²
------------------------------------------------------------------

Given that the biggest ratio is AB
⇒AB is the hypotenuse
AB = 15 cm

------------------------------------------------------------------
Answer: Hypotenuse = AB = 15cm
------------------------------------------------------------------

8 0

3 years ago

Read 2 more answers

An is a two dimensional diagram that you can fold to form a 3-D figure ?

KonstantinChe [14]

I think this is wrong but square

6 0

3 years ago