All categories

3 years ago

Jonas wants to paint the walls of his bedroom and the ceiling. The dimensions of his room are 7 feet by 12 feet by 8 feet.

Mathematics

2 answers:

sleet_krkn [62]3 years ago

7 0

Answer:

The surface area that will be painted is 376 ft2.

o-na [289]3 years ago

3 0

The answer would be 376 ft2

You might be interested in

An arithmetic sequence "a" starts with 84, 77 define "a" recursively

sweet [91]

Answer:

First, let's define an arithmetic sequence:

In an arithmetic sequence, the difference between any two consecutive terms is always the same.

Then we can write it in a general way as:

aₙ = a₁ + (n - 1)*d

where:

aₙ is the n-th term of the sequence.

d is the constant difference between two consecutive terms.

a₁ is the initial term of our sequence.

Now in this case we know that the first terms of our sequence are:

84, 77, ...

Then we know the initial term of our sequence:

a₁ = 84.

And the value of d can be calculated as:

d = a₂ - a₁ = 77 - 84 = -7

Then the general way of writing this sequence is:

aₙ = 84 + (n - 1)*(-7)

And the recursion relation is:

aₙ = aₙ₋₁ - 7

So for the n-th term, we must subtract 7 of the previous term.

4 0

3 years ago

Select the conic section that represents the equation. y2 = 10x circle ellipse parabola hyperbola

Makovka662 [10]

The conic that represents the equation y² = 10x is a parabola

Step-by-step explanation:

The general equation for any conic section is

Ax² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E and F are

constants

1. If B² - 4AC < 0, if a conic exists, it will be either a circle or an ellipse,

if A and C are equal then it is a circle, if not then it is an ellipse

2. If B² - 4AC = 0, if a conic exists, it will be a parabola

3. If B² - 4AC > 0, if a conic exists, it will be a hyperbola

∵ The equation is y² = 10x

- Subtract 10x from both sides

∴ y² - 10x = 0

∴ A = 0 , B = 0 , C = 1 , D = -10 , E = 0 and F = 0

∵ B² - 4AC = (0)² - 4(0)(1) = 0

∴ B² - 4AC = 0

∴ The conic is parabola

The conic that represents the equation y² = 10x is a parabola

Learn more:

You can learn more about discriminant in brainly.com/question/8196933

#LearnwithBrainly

6 0

3 years ago

If k = p+2q/3 , find the value of p when k=7 and q=3

marishachu [46]

Answer:

p = 5

Step-by-step explanation:

hopefully it is clear and understandable :)

6 0

3 years ago

If the endpoints of the diameter of a circle are (8, −6) and (4, −2), what is the standard form equation of the circle?

Gennadij [26K]

We do the midpoint formula to find the center of the circle to get the left side of the equation.

Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]

Now plug in:

[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)

The center of the circle is (6, -4)

Now we plug it into the equation of a circle:

(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.

(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C

Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:

√((X₂ - X₁)² + (Y₂ - Y₁)²)

We plug in using either of the endpoints.

√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8

√8 is your radius

(√8)² = 8

Your correct answer is (x - 6)² + (y + 4)² = 8, Option D

3 0

4 years ago

1. June collects books. Last year she had 20 books in her collection. Now she has 30 books. What is the percent increase of her

larisa86 [58]

⚠WARNING DO NOT JOIN THE ZOOM OF 825 338 1513⚠ OR DO NOT JOIN ANY ZOOMS FROM ANYONE EXCEPT REAL LIFE FRIENDS OR FRIENDS FAMILY OR TEACHERS! HIS ZOOM NAME IS Mysterious Men HE ASKS GIRLS TO DO INAPPROPRIATE THINGS PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS! PLS PASS THIS AROUND!

7 0

3 years ago