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nordsb [41]
3 years ago
15

A can of paint can cover 300 square feet of wall space. Your living room has a wall that is 20' x 10), another wall that is 14'

x 10', and a third wall that is 9 x 10'.
If you guess that you probably have an extra 100 square feet of wall space over doors and around door frames, will two cans of paint be enough to paint your living room?
Mathematics
1 answer:
Slav-nsk [51]3 years ago
8 0

Answer:

Step-by-step explanation:

4/05/2017 · Here's another way to figure out how much paint you will need: Paint Calculator Tip 1: One gallon can of paint will cover up to 400 square feet, which is enough to cover a small room, like a bathroom. Paint Calculator Tip 2: Two gallon cans of paint cover up to 800 square feet, which is enough to cover an average size room. This is the most common amount needed, especially when considering ...

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Can someone explain me how do i do (ii)?
Varvara68 [4.7K]

Answer:

(only ii right?)

Since we have the total number is 360° and our section is 72°, we know that the percentage of students who choose the cinema should be the number that we have divided to the total amount and then multiply the result by 100 ( it's fine if you write 100%, but when you actually calculate it, it's only 100, not 100%):

(72/360) . 100 = 20%

6 0
4 years ago
Tim is investigating the relationship between the number of years since a tree was planted and the height of the tree in feet. H
wolverine [178]

Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.

Step-by-step explanation:

Years since tree was planted (x) - - - - height (y)

2 - - - - 17

3 - - - - 25

5 - - - 42

6 - - - - 47

7 - - - 54

9 - - - 69

Using a regression calculator :

The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08

With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.

X is the independent variable which is used in calculating the value of y.

Predicted height when years since tree was planted(x) = 100

ŷ = 7.36X + 3.08

ŷ = 7.36(100) + 3.08

y = 736 + 3.08

y = 739.08

Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.

3 0
3 years ago
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati
Y_Kistochka [10]

Hello from MrBillDoesMath!

Answer:   8 (Pi - sqrt(3))

Discussion:

The area of the shaded region is that of the semicircle minus the area of the triangle..


Area of semicircle = 1/2 * Pi * R^2        

    Where R^2 is the square of the radius of the circle. In our case, R ( = OC)

     = 4 so the semicircle area is

    (1/2) * Pi * (4^2) = (1/2) * Pi * 16 = 8 Pi


Area of triangle.

   First of all, angle ACB is a right angle ( i.e. 90 degrees).

     * This is the Theorem of Thales from elementary Plane Geometry. *

  so by Pythagoras

    AC^2 + BC^2 = AB^2

 But CB = 4 (given) and AB = 4*2 = 8 ( the diameter is twice the radius).

 Substituting these in Pythagoras gives

    AC^2 + 4^2 = 8^2 or

    AC^2 = 8^2 - 4^2- = 64 - 16 = 48

    Hence AC = sqrt(48) = sqrt (16*3) = 4 * sqrt(3)

We are almost done! The area of the triangle is given by

   (1/2) b * h = (1/2)  BC * AC = (1/2) 4 * (4 * sqrt(3)) =  8 sqrt(3)

We conclude the area area of the shaded part is

  8 PI - 8 sqrt(3)   = 8 (Pi - sqrt(3))

Note that sqrt(3) is approx  1.7 so (PI - sqrt(3)) is a positive number, as it better well be!


Thank you,

MrB

6 0
3 years ago
List the steps that should be used to solve the equation (f)x=g(x) by graphing when F(x)=(1/2)^x-3 and g(x)=3x+5
Tema [17]

ANSWER

See explanation.

EXPLANATION

Step 1

Graph each of the functions.

f(x) = ( \frac{1}{2} )^{x - 3}

and

g(x) = 3x + 5

Step 2

Look for the point of intersection of the two graphs.

From the graph, the two functions intersected at

(0.38,6.14)

6 0
3 years ago
Look at the planes ABCD and EFGH shown below.. Which statement is true about the two planes?. A.There are more than two segments
scZoUnD [109]
According to your image which has a diagram where 2 planes are both perpendicularly attached to each other. So base on your diagram I conclude that the answer is C. There are two segments along the planes intersect. I hope i answered your question
7 0
3 years ago
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