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3 years ago

Which is an equation of a direct proportion?

Mathematics

1 answer:

kompoz [17]3 years ago

8 0

Answer:

y=-3x

Step-by-step explanation:

The meaning of direct proportion is that the ratio remains the same, and the ratio will only remain the same if y= a constant number into x

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Holly made 12 pair of earrings for each of her girlfriends. To wrap the pairs individually, she creates a simple cardboard gift

Mekhanik [1.2K]

Answer:

3280cm²

Step-by-step explanation:

We are told the gift box is folded into a Pyramid with a square base.

Hence, we are to find the Surface Area of a square pyramid

From the question, we are given:

Length of the base of the square = 10cm

Triangle

Side length = 10cm

Height = 8 2/3 cm

A square Pyramid has 5 faces: 4 triangles and 1 square.

Step 1

Find the Area of the square

Formula = Side length² this is because all the side of a square is equal.

Length of the base = 10cm

Area of the square = (10cm)²

= 100cm²

Step 2

Find the Area of the triangle. We are told the 4 triangles are equilateral, which means their side are equal.

Hence, for one triangle.

Area of a triangle = 1/2 × base × height

Base = side length = 10cm

Height = 8 2/3 = 8.6666666667cm

Area of a triangle = 1/2 × 10 × 8.6666666667

Area of a triangle = 43.333333333cm²

Since we have 4 triangles

We would have : 4 × 43.333333333cm²

= 173.33333333cm²

The Area of the 4 equilateral triangles =

173.33333333cm²

Step 3

The Surface area of the Square Pyramid

= Sum of the areas of all the faces.

= 100cm² + 173.33333333cm²

= 273.33333333cm²

Therefore, the minimum amount of cardboard needed to make one gift box = 273.33333333cm²

Step 4

The minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually is calculated as: 12 × 273.33333333cm²

= 3280cm²

7 0

3 years ago

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 9090% of all males. (Accommodating 1

Molodets [167]

Answer:

Hip breadths less than or equal to 16.1 in. includes 90% of the males.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14.5

Standard Deviation, σ = 1.2

We are given that the distribution of hip breadths is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.10.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 14.5}{1.2})=0.10$

$= 1 -P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.10$

$=P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.90$

Calculation the value from standard normal z table, we have,

$P(z < 1.282) = 0.90$

$\displaystyle\frac{x - 14.5}{1.2} = 1.282\\x = 16.0384 \approx 16.1$

Hence, hip breadth of 16.1 in. separates the smallest 90% from the largest 10%.

That is hip breaths greater than 16.1 in. lies in the larger 10%.

4 0

3 years ago

Find the measure of the largest angle in the triangle shown . PLS HELP

Andre45 [30]

Answer:

72°

Step-by-step explanation:

So the three angles of a triangle always add up to 180°. This means that

$15x + 21x + 24x = 180$

This becomes:

$60x = 180$

And solves as:

$x = 3$

The largest angle has to be the one marked with 24x because it has the largest coefficient and x is a constant.

$24x = 24(3) = 72$

The measure of the largest angle in the triangle is 72°.

4 0

2 years ago

Read 2 more answers

You are building a teepee so you can be awesome on your next camping

Oxana [17]

Answer:

1017.9 ft^3

Step-by-step explanation:

We know the inside dimension at floor level will be 18 feet across, so that may not be the answer that is being asked for. We also know it will be 12 ft high inside, so that may not be the answer, either. We're not quite sure what "how big" is supposed to mean.

Perhaps the question is trying to ask for the volume of the teepee. That will be given by the formula ...

V = (1/3)πr^2·h

V = (1/3)π(9 ft)^2·(12 ft) = 324π ft^3

V ≈ 1017.9 ft^3

The interior volume will be about 1017.9 cubic feet.

8 0

3 years ago

What is 2x3x4x2x88x9x112x100x9x2?<br> ;)

Scorpion4ik [409]

Answer:

7664025600

Step-by-step explanation:

I basically just multiplied first then added the sums. Also you can use a calculator to make sure ur answer is right.

4 0

2 years ago