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Dmitry_Shevchenko [17]

3 years ago

10

Marcos debe pintar 5/9 de la cubierta de un velero. Al acabar el día ha pintado 21/36 . ¿Ha conseguido cumplir su objetivo? ¿Ha

pintado más? ¿Ha pintado menos?

1 answer:

inna [77]3 years ago

4 0

Answer:

a) Have you managed to meet your goal?

Yes

b) Have you painted more? Have you painted less?

You have painted more.

Step-by-step explanation:

Marcos should paint 5/9 of the deck of a sailboat.

At the end of the day he painted 21/36.

Reducing this to the simplest form = 21/36

Dividing Numerator and Denominator by 3

= 7/12

Finding the difference between both fractions

= 7/12 - 5/9

The Lowest Common Denominator = 36

= 21 - 20/36

= 1/36

Therefore:

a) Have you managed to meet your goal?

Yes

b) Have you painted more? Have you painted less?

You have painted more.

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Find the total surface area of this cone.

3241004551 [841]

Answer:

Step-by-step explanation:

Total surface area of a cone is given by the expression,

SA = πrl + B

Here, r = Radius of the circular base

l = slant height

B = Surface area of the base

Surface area of the circular base = πr²

= π(5)²

= 25π cm²

Slant height 'AC' = $\sqrt{AB^2+BC^2}$

= $\sqrt{h^2+r^2}$

= $\sqrt{5^2+(12)^2}$

= 13 cm

Substitute the values in the expression of surface area,

SA = π(5)(13) + 25π

= 65π + 25π

= 90π cm²

Therefore, SA = 90π cm² will be the answer.

6 0

3 years ago

Scale Drawings question

Nimfa-mama [501]

Answer:

138 is the answer

Step-by-step explanation:

In order to find the perimeter, we use this formula

P=2(l+w)

And to find the width, we use this formula

w = P/2 - L = 18/2 - 3 = 6

So the width is 6

3 × 6 = 18

So thats why the perimeter of the top triangle is 18

We do 21 ÷ 3 = 7, 7 = scale factor

To find the perimeter of the bottom triangle, we do

the width of the top rectangle times 7

so 6 × 7 = 48

So the perimeter for the bottom triangle is

P=2(l+w)=2·(48+21)=138

6 0

3 years ago

Graph a triangle on the coordinate plane. Choose 1 transformation (reflection, rotation,

BlackZzzverrR [31]

Answer:

The answer in the procedure

Step-by-step explanation:

we have the right triangle ABC

The pre-image coordinates are

$A(0,0),B(0,3),C(4,0)$

The transformation to use is the translation

The rule of the translation is

$(x,y)-----> (x+10,y)$

That means----> The translation is 10 units to the right

The image coordinates are

Applying the rule of the translation

$A'(0+10,0)=A'(10,0)$

$B'(0+10,3)=B'(10,3)$

$C'(4+10,0)=C'(14,0)$

using a graphing tool

see the attached figure

3 0

3 years ago

A can contain 24 fluid ounce of fruit juice. how many pints of fruit juice does the can contain?

Serga [27]

<h2>Hello!</h2>

The answer is: 1,5 pints.

<h2>Why?</h2>

Firts, we must know that:

$1 cup = 8 oz.$

and:

$2 cup = 1 pint$

Knowing that, we can calculate how many pints of fruit juice does the can contain

If $1 cup = 8 oz.$ and $2 cup = 1 pint$

So,

$24 oz.*\frac{1 cup}{8oz.} =3 cup$

We have that $24oz.= 3 cup$

Then, calculating, we have:

$3 cup*\frac{1 pint.}{2 cup.} = 1,5 pints.\\$

So, a can of 24 ounce of fruit juice is equal to 3 cups of fruit juice, and it's equal to 1,5 pints of fruit juice.

Have a nice day!

7 0

3 years ago

Help!!!!please, I need to answer this question

Butoxors [25]

Answer:

m<B = 62°

Step-by-step explanation:

Given that ∆ABC is congruent to ∆TUV, it follows that their corresponding angles are equal to each other. Therefore:

m<B = m<U

m<B = (3y + 2)°

m<U = (4y - 18)°

Thus,

3y + 2 = 4y - 18

Collect like terms

18 + 2 = 4y - 3y

20 = y

y = 20

m<B = (3y + 2)°

Plug in the value of x

m<B = 3(20) + 2

m<B = 60 + 2

m<B = 62°

3 0

3 years ago