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3 years ago

I NEED HELP PLEASE ASAP!!! :)

Mathematics

1 answer:

erik [133]3 years ago

7 0

Answer:

r = 6.4/(1+sin(θ))

Step-by-step explanation:

As the attachment shows, for the given directrix and eccentricity, the equation is ...

$r=\dfrac{ed}{1+e\sin{\theta}}\\\\r=\dfrac{1.6\cdot 4}{1+1.6\sin{\theta}}\\\\\boxed{r=\dfrac{6.4}{1+\sin{\theta}}}\qquad\text{matches the 2$^{\text{nd}}$ choice}$

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A square pyramid is shown sitting on its base.

allochka39001 [22]

Answer:

Area of Pyramid = 384 cm²

Step-by-step explanation:

Given

Shape: Square Pyramid

Base: 12 cm

Height: 10 cm

Required

The Surface area.

The surface area of the pyramid is calculated by

1. Calculating the area of the base square

2. Calculating the area of the triangles

3. Adding (1) and (2) above

Having highlighted these points,

Step 1: First we calculate the area of the base square

The dimension of the square is 12cm x 12cm

Let L represent the length of the square (L = 12 cm)

So, Area = L * L

Area = 12 cm * 12 cm

Area = 144 cm²

Step 2: There are four triangles in the above pyramid (because the base is a square; and a square has four sides)

The dimension of each triangle is

Base: 12 cm

Height: 10 cm

First, we calculate the area of one triangle

Area = 0.5 * base * height

Area = 0.5 * 12 cm * 10 cm

Area = 60 cm²

If the area of 1 triangle is 60 cm², the area of 4 triangles would be

Area = 4 * 60 cm²

Area = 240 cm²

Step 3: Adding (1) and (2) above

Area of Pyramid = Area of base square + Area of triangles

Area of Pyramid = 144 cm² + 240 cm²

Area of Pyramid = 384 cm²

Hence, the surface area of the pyramid is 384 cm²

5 0

3 years ago

A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 pl

Tju [1.3M]

Let

x----------> charge per hour to rent a jet sky in dollars

y----------> the total cost to rent a jet sky in dollars

we know that

First Jet Sky Company

$y=24.00+2.25x$ ---------> equation $1$

Second Jet Sky Company

$y=23.00+2.50x$ ---------> equation $2$

we know that

To find the number of hours for which the costs are the same

equate equation $1$ and equation $2$

The intersection both graphs is the solution of the problem

using a graph tool

see the attached figure

the intersection point is $(4,33)$

That means

For $x=4\ hours$

the cost of the rent is $y=\$33$ in both companies

therefore

the answer is

$4\ hours$

7 0

3 years ago

Mathius walked ⅜ mile to school. Eva walked ⅖ mile to school. How many more

zalisa [80]

Answer:

132ft

Step-by-step explanation:

Mathius Distance = 3/8 mile

Eva Distance = 2/5 mile

1 mile = 5,280ft

1. Start by multiplying the mile distance of Mathius to the distance of 1 mile in feet.

5,280ft x 3/8 = 15840ft/8 = 1980ft

2. Do the same thing as number 1 but for Eva's distance now.

5,280ft x 2/5 = 10560ft/5 = 2112ft

3. Subtract Eva's Distance from Mathius' Distance for the answer.

2112ft (Eva) - 1980ft (Mathius) = 132ft

7 0

2 years ago

Solve v = 3k/t for t

valkas [14]

Your answer will be t=3k/v if you solve for t

4 0

3 years ago

Help answer this question please, thank you!

mel-nik [20]

1-8 because its the range

6 0

2 years ago