Answer:
28.875 or 28 7/8
Step-by-step explanation:
pls mark brainliest!
steps:
(23+1/2) + (15+1/8) - (9+3/4) then solve
46+1 over 2 + 120+1 over 8 - 36+3 over 4
solve
47/2 + 121/8 - 39/4
solve
188+121-78 over 8 = 231/8
convert 231/8= 28 7/8
Answer:
<u>Approximately 16 tablets of medicine</u>
Step-by-step explanation:
Based on the information above , we can use a <u>Rule of Three</u> to first figure out how many mg the cat would need to ingest per day.


Now we see that the cat needs to take a daily dose of 22.5mg. Since the Tablets come at a strength of 10 mg per tablet then,

The cat would need to take 2.25 tablets per day. Since she needs to take the dose for the next 7 days then,

She would need to take<u> approximately 16 tablets of medicine</u> during the week .
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Let's call the distance from the beach to the playground x.
Let's call the distance from the stand to the parking lot z.
Let's call the base of the biggest triangle in the picture (from the parking lot to the left) y.
Recall the pythagorean theorem: the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
There are three right triangles we can work with.
Triangle with sides 48, x and z. Here z is the hypotenuse so we get the equation

Triangle with sides 27, x and y. Here y is the hypotenuse so we get

Triangle with sides z, y and (48+27). Here (48+27) is the hypotenuse so we get

. That is,

We have 3 equations and 3 unknowns (x, y and z). So let's take the last equation:

and replace

and

using expressions that contain an expression in terms of x from the first two equations we came up with.
That gives us:

which we solve for x as follows:

Now that we know x we can substitute 36 for x into the equation

and solve for z as follows:

This means that the distance from the beach to the parking lot is 36 m and the distance from the stand to the parking lot is 60 m.
Answer:
x = - 9, x = 6
Step-by-step explanation:
Given
x² + 3x - 54
To find the solutions equate to zero
x² + 3x - 54 = 0 ← in standard form
(x + 9)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 6 = 0 ⇒ x = 6
Answer:
Height = 8 meters
Step-by-step explanation:
Given that
The volume V = 209 cubic meters Diameter = 10 meters
Radius r = 5 metres
How tall is the shed? The question is looking for the height of the cone
Using the formula for volume of a cone.
V = 1/3πr^2h
Where π = 3.14
209 = 1/3 × 3.14 × 5^2 ×h
209 = 3.14/3 × 25h
209 = 78.5h/3
h = 7.99 meters
h = 8 meters
Therefore, the shed is 8 meters tall.