Loch ness is the largest lake in Scotland.
The lake has a volume of water of 7.45x10^9 m^3.

The volume of water in Lake Superior is k times the volume of water in Loch ness.
Lake Superior = 8.21x10^10

Work out the value of k.
Give your answer correct to 3 significant figures.

Answer:

$28

Step-by-step explanation:

John and his best friend each got $14, so in total there are $14+$14=$28.

Answer:

$28

Step-by-step explanation:

If they split the money evenly then both of them got half.

So, multiply 14 by 2 to find the answer:

(14)(2) = 28

John and his best friend found a total of $28.

I hope this helps!!

- Kay :)

Answer:

if it's wednesday

Step-by-step explanation:

Answer:

-4,-6,-8,-10

Step-by-step explanation:

I am not so sure though.

Answer:

25 metres per second

Step-by-step explanation:

just divide 100 by 4 and you will get the answer.☺️☺️

Answer:

25 m/s

Step-by-step explanation:

train a travels at 12.5 m/s and will arrive at 100m in 7s.

train b arrives at the same distance, 100m, in 4s. so that means train b is going at 100m/4s and then simplify that

therefore train b is moving at 25m/s

Answer:

AD if my calculations are correct

Step-by-step explanation:

Answer:

I think the answer would be CD

Step-by-step explanation:

If I remember correctly, the angles correspond with the line they are opposite of

Answer:

x>-15/4

Step-by-step explanation:

1/3(6/8+1/2x)>-3/8

3/4 + 1/2 x>- 9/8

6+4x>-9

4x>-9-6

4x>-15

x>-15/4

Answer:

i need pionts bbut it is b

Step-by-step explanation:

Note: Consider the below figure attached with this question.

Given:

[tex]a=3\sqrt{3}[/tex]

To find:

The value of b.

Solution:

In a right angled triangle,

[tex]\tan \theta = \dfrac{Perpendicular}{Base}[/tex]

For the given right angled triangle,

[tex]\tan \theta = \dfrac{a}{b}[/tex]

[tex]\tan (30^\circ) = \dfrac{3\sqrt{3}}{b}[/tex]

[tex]\dfrac{1}{\sqrt{3}} = \dfrac{3\sqrt{3}}{b}[/tex]

On cross multiplication, we get

[tex]1\times b=3\sqrt{3}\times \sqrt{3}[/tex]

[tex]b=3(3)[/tex]

[tex]b=9[/tex]

Therefore, the value of b is 9.

Answer:

(45,60,75)

Step-by-step explanation:

Because 45^2 + 60^2 = 75^2

                  5625 = 5625

Answer:

B. 96%

Step-by-step explanation:

Sara only missed 7 days of 184 days this year meaning 184 - 7 = 177 and

177 is how many days she attended school, so to figure out percentage take the number of days she attended school and divide by the total amount of days in this year which is 184: 177/184 = 0.96195652173

then multiply by 100 to get percentage so approximately 96%.

Answer:

The arc length s = 44 inches

Step-by-step explanation:

We are given:

r = 4 in

Ф = 11 radians

We need to find s

The formula used is: [tex]s=r\theta[/tex]

where s represents arc length, r is radius and Ф is angle in radians

Putting values and finding s

[tex]s=r\theta[/tex]

Put r = 4 and Ф = 11

[tex]s=4\times 11\\s=44[/tex]

So, the arc length s = 44 inches

Answer:3

3(4x+3)

Step-by-step explanation:

Answer:

I need the answer

I dont know!!

Step-by-step explanation:

Answer:

They will at the same height of 80cm at 12 months.

Step-by-step explanation:

Sapling A:

y = 10/3x + 40

Sapling B:

y = 5x + 20

Set the equations to equal each other.

10/3x + 40 = 5x + 20

10/3x - 5x = 20 - 40

10x - 15x = 60 - 120

-5x = -60

x = 12

Sub x = 12 into one of the two equations (It doesn't matter which one you choose)

y = 5(12) + 20

y = 80

Answer:

9/40 or 0.225

Step-by-step explanation:

Answer:

9.7

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf x \approx 9.7}}[/tex]

Step-by-step explanation:

This is a right triangle, which we know because of the square in the corner of the triangle. We can use the right triangle trigonometric ratios.

[tex]sin( \theta) =opposite/hypotenuse[/tex]  and [tex]cos (\theta) = adjacent /hypotenuse[/tex] and [tex]tan (\theta)=opposite/adjacent[/tex]

First, identify each side of the triangle as adjacent, opposite, or hypotenuse, relative to the 68 degree angle.

The x is next to, or adjacent, to the angle. The 24 is opposite. We are not given the hypotenuse.

[tex]adjacent= x \\opposite= 24 \\hypotenuse= unknown[/tex]

Since we have the adjacent and opposite, we must use tangent.

[tex]tan (\theta)=\frac{opposite}{adjacent}[/tex]

Substitute the values in. The theta (θ) is the angle.

[tex]tan (68)=\frac{24} {x}[/tex]

Solve for x. One way is by cross multiplying.

[tex]\frac{tan(68)}{1}=\frac{24}{x}[/tex]

Multiply the 1st numerator by the 2nd denominator. Then, multiply the 1st denominator by the 2nd numerator.

[tex]tan (68)*x=1*24[/tex]

[tex]tan(68)*x=24[/tex]

Evaluate tan(68) using a calculator.

[tex]2.47508685*x=24[/tex]

Divide both sides of the equation by 2.47508685. This will isolate the variable x. ( We divide because multiplication is occurring between 2.47508685 and x, and division is the inverse of multiplication).

[tex]\frac{2.47508685*x}{2.47508685}=\frac{24}{2.47508685}[/tex]

[tex]x=\frac{24}{2.47508685}[/tex]

[tex]x=9.69662943[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round up. The 6 becomes a 7.

[tex]x \approx 9.7[/tex]

In this right triangle, x is equal to about 9.7

Answer:

False

Step-by-step explanation:

Answer:

5x+4

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Hope this helps

Answer:

⅛ cups per waffle

Step-by-step explanation:

Answer:

80 grams honey, 520 grams yogurt

Answer:

ya

Step-by-step explanation:

Answer:

The area is 12x^2

Step-by-step explanation:

Answer:

it would be -90⁰ because its clockwise its the opposite direction