Which of these lines is perpendicular to the line 3y = -2x + 5?

A home builder wants to decorate the post at the bottom of a stairway. One way to do this is to glue a square-based pyramid to t

AysviL [449]

We have been given net of a pyramid. We are asked to find the total surface area of the pyramid.

The surface area of the pyramid will be area of base plus area of 4 triangular sides.

We have been given that base of pyramid is square, so area of base will be square of base side.

$\text{Area of base}=(\text{10 in})^2=100\text{ in}^2$

Let us find area of one triangular side.

$\text{Area of triangle}=\frac{1}{2}\times \text{Base}\times\text{Height}$

$\text{Area of triangle}=\frac{1}{2}\times \text{10 in}\times\text{6 in}$

$\text{Area of triangle}=\text{5 in}\times\text{6 in}$

$\text{Area of triangle}=30\text{ in}^2$

Now we will multiply area of one triangular face by 4 to find area of 4 triangular faces.

$\text{Area of 4 triangular faces}=4\times 30\text{ in}^2$

$\text{Area of 4 triangular faces}=120\text{ in}^2$

Total surface area of pyramid would be area of base plus area of 4 triangular faces.

$\text{Total surface area of pyramid}=100\text{ in}^2+120\text{ in}^2$

$\text{Total surface area of pyramid}=220\text{ in}^2$

Therefore, 220 square inches of copper sheet are needed to make one pyramid.

4 0

3 years ago

The grid represents 1 whole. Shade the grid to the model 0.3.

Triss [41]

Answer:

where is the grid? I would help if you have more info

8 0

3 years ago

You have to bake a lot of brownies for your 6th grade fund raiser! Although you have plenty

Nana76 [90]

You can make 11.33 batches

6 0

4 years ago

Read 2 more answers

Three pirates named Ahab, Sparrow, and Davy play a game. The pirates have a total of 210 coins, and each pirate has a different

Alika [10]

Step-by-step explanation:

at the end of game, sparrow has $\frac{5}{4+5+6} \times 210=70$ coins. since he loss 5+7=12 coins, then at the beginning he has 70+12=82 coins

3 0

3 years ago

Identify the horizontal asymptote of f(x) = quantity 2 x minus 1 over quantity x squared minus 7 x plus 3.

Rina8888 [55]

We must recall that a horizontal asymptote is the value/s of y that the given function approaches to but never reaches. To find this in a rational function, we compare the expressions with highest degree in the numerator and denominator. There are three possible outcome when this happens.

1. if the highest degree (highest exponent) in the numerator is bigger than that of the denominator, then there won't be any horizontal asymptote.

2. if the highest degree in the denominator is bigger, then the horizontal symptote would be y = 0.

3. if they have the same highest degree, then we just get the quotient of their coefficient.

Now, going back to our function, we have

$f(x) = \frac{2x - 1}{x^{2} - 7x + 3}$

From this we can see that the highest degree in the numerator is 1 (from 2x) and 2 (from x²) for the denominator. Clearly, it shows that its denominator has a higher degree. And from our discussion, we can conclude that the horizontal asymptote would be y = 0.

Answer: y = 0

3 0

4 years ago