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2 years ago

3. If the lateral surface area of a

Mathematics

2 answers:

azamat2 years ago

6 0

Step-by-step explanation:

natulia [17]2 years ago

3 0

Answer:

I) R = 3 cm;

II) V = 14.3 cm³.

Step-by-step explanation:

I) C = 94.2 ÷ 5 = 18.84

A cylinder has a base with a circumference of 18.84cm.

$R=\dfrac{C}{2\pi } =\dfrac{18.84}{2 \cdot 3.14} =\dfrac{18.84}{6.28} =3 \: (cm)$

II) $V=\pi R^{2}H=3.14 \cdot 3^{2} \cdot 5 = 141.3 \: (cm^{3})$

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HELP ME!! im so stumped. will give brainliest!

Olegator [25]

Answer:

$x=1+\sqrt{3}$ and $x=1-\sqrt{3}$

Step-by-step explanation:

We have been given the parabola with vertex (1, -9) and y intercept at (0, -6).

Now we need to find the x-intercepts of that parabola. So first we begin by finding the equation of parabola using vertex formula:

$y=a\left(x-h\right)^2+k$

Vertex for this formula is given by (h,k)

Compare that with given vertex (1,-9), we get: h=1, k=-9

So plug these into vertex formula:

$y=a\left(x-1\right)^2-9$ ...(i)

Plug given point (0, -6). into (i)

$-6=a\left(0-1\right)^2-9$

$-6=a\left(-1\right)^2-9$

$-6=a\left(1\right)-9$

$-6+9=a$

$3=a$

Plug a=3 into (i)

$y=3\left(x-1\right)^2-9$

Now to find x-intercept, we just plug y=0 and solve for x

$y=3\left(x-1\right)^2-9$

$0=3\left(x-1\right)^2-9$

$9=3\left(x-1\right)^2$

$3=\left(x-1\right)^2$

$\pm \sqrt{3}=x-1$

$1+\pm \sqrt{3}=x$

Hence final answer are

$x=1+\sqrt{3}$ and $x=1-\sqrt{3}$

4 0

3 years ago

(d) Nigel measures out 30 grams from a 1 kilogram bag of sugar.

Brut [27]

Answer:

Step-by-step explanation:

1kg = 1000g

30÷1000 × 100 = 0.03×100=3%

8 0

3 years ago

Read 2 more answers

Find the slope of each line. y=1/4x-4

forsale [732]

Answer:

1/4

Step-by-step explanation:

y=1/4x-4

This equation is in the form

y = mx+b where m is the slope and b is the y intercept

The slope is 1/4 and the y intercept is -4

6 0

3 years ago

What is the difference written in scientific notation 1.3x10^6 - 6.8 x 10^5

Pavlova-9 [17]

One way to solve this is to revert to integers.

Do this by moving the decimal in 1.3 to the right 6 places (indicated by the positive power value) and then 6.8 move the decimal to the right 5 places (same reason)

Now you have 1,300,000 & 680000. Subtract to get 620,000.

Now convert your product to scientific notation again by moving your decimal to the left until you are left with 6.2 x ? The question mark will be 10 to the number of places you moved the decimal. 10^5

We have 6.2 x 10^5.

It is import to note that when the decimal must be moved to the right for values less than one, the power will be negative.

3 0

3 years ago

Read 2 more answers

A baseball team has won 8 out of the first 20 games and has 40 games remaining. The team needs a winning percentage of 62.5% mak

dimaraw [331]

Answer:

30 More Games for Playoffs | Win Percentage of 40% in Playoffs

Step-by-step explanation:

We find the total amount of games by adding first 20 and 40 remaining

This will leave us with 60 games

In order to calculate the playoff, we would have to calculate 62.50% in those 60 games.

62.50% is 5/8, we divide 60 by 8 and get 7.50

We multiply both sides by 7.50 and get 37.50/60

We subtract 8 from 37.50 and get 29.50

We round it to the nearest ones and get 30

In order to win the game they would need to win 30 more games

To calculate the final win percentage, we would add 2 and 3, which would give us 5.

After winning 2 and losing 3,

it would give us 2/5,

which in percentage is 40%

8 0

3 years ago