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2 years ago

Please help again! Same thing!

Mathematics

1 answer:

cestrela7 [59]2 years ago

7 0

Answer:

a = - 3, b = 5

Step-by-step explanation:

To rationalise the denominator multiply the numerator/ denominator by $\sqrt{2}$

= $\frac{\sqrt{2}(10-\sqrt{18}) }{(\sqrt{2})^2 }$

= $\frac{10\sqrt{2}-\sqrt{36} }{2}$

= $\frac{10\sqrt{2}-6 }{2}$

= 5 $\sqrt{2}$ - 3

= - 3 + 5 $\sqrt{2}$ ← in the form a + b $\sqrt{2}$

with a = - 3 and b = 5

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Sing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts and last 50 min. How many singing acts and how man

ryzh [129]

Answer

so there are 7 singing acts and 5 comedy acts.

Step-by-step explanation:

Let x= number of singing acts.

Let y= number of comedy acts.

We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.

We solve x+y=12

Y=-x+12

We know y=-x+12, so we will substitute that for the y in the second equation.

1. Substitute 5x+3(-x+12)=50

2. Distribute 5x-3x+36=50

3. Solve 2x+36=50

2x=14

X=7

Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.

5(7)+3y=50

35+3y=50

3y=15

Y=5

6 0

2 years ago

Please answer and explain

irina [24]

Answer:

Step-by-step explanation:

4. 5, equation 38-8=35 35divided by 7 is 5

8 0

2 years ago

Read 2 more answers

Plz help ...........................................

eimsori [14]

Use pythagorean theory
a^2 + b^2 = c^2
5^2 + 12^2 = 169
square root of 169 is 13
the missing side length is 13 in

7 0

2 years ago

A square has a side that measures 5. 5 units. What is the area of a circle with a circumference that equals the perimeter of the

Eva8 [605]

The area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

<h3>What is circumference and area of the circle?</h3>

Circumference of the circle is the length of its boundary. It can given as,

$P=2\pi r$

The area of the circle is the space occupied by it. It can be given as,

$A=\pi r^2$

Here (<em>r</em>) is the radius of the circle.

A square has a side that measures 5. 5 units. The perimeter of the square is the equal to the 4 times of its side. Thus its perimeter is,

$P=4\times5.5\\P=22\rm\; units$

The circumference of the circle is equal to the perimeter of the square. Thus the radius (<em>r</em>) of circle is,

$P=2\pi r\\22=2\times\pi r\\r\approx3.5\rm\; units$

The area of this circle is,

$A=\pi r^2\\A=3.14\times (3.5)^2\\A=38.465\\A\approx 38.47\rm\; units^2$

Hence the area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

Learn more about the circumference and area of the circle here;

brainly.com/question/402655

7 0

1 year ago

The coach needs to choose the top bowler for the next meet. If the coach bases her decision on the player with the best average,

vredina [299]

Answer: Emma’s mean is 189. Devins mean is 186.

Step-by-step explanation:

Emma: 147+143+181+232+193+207+205+221+172= 1701. 1701 divided by nine: 189.

Devin: 185+186+194+197+198+155+194+163+202= 1674 divided by nine: 186.

Coach should choose Emma.

Hope i helped have an awesome Friday!

8 0

2 years ago