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3 years ago

Please help me on this one

Mathematics

1 answer:

NikAS [45]3 years ago

3 0

Answer:

55.4 in³

Step-by-step explanation:

The formula for the volume of a pyramid can be found:

V = $\frac{1}{3}Bh$ , where B = area of the base and h = height of the pyramid

Since the base is a triangle, we need to use the formula for the area of a triangle:

A = $\frac{1}{2}bh$ = $\frac{1}{2}(5.7)(6.2)=17.67in^{2}$

Next, multiply the area of the base by the height of the pyramid:

17.67 x 9.4 = 166.098 ÷ 3 ≈ 55.4 in³

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Jennifer wants to make a large container of lemonade. When she makes a full glass of lemonade she uses 5 drops of flavor and 12

Julli [10]

The information we have is:

5 drops of flavor are needed for 12 ounces of water.

To solve the problem, first we need to find the amount of drops needed per ounce of water, and then multiply that by the number of ounces that we need which is 1280.

The number of drops per ounce:

To find this, divide 5 drops by 12 ounces:

$\frac{5}{12}$

5/12 drops are needed per ounce.

The number of drops in 1280 ounces:

Now we multiply 5/12 by 1280:

$\frac{5}{12}\times1280$

And the result is:

$\frac{5}{12}\times1280=0.41666\times1280=533.333$

The number of drops needed is: 533.333

Answer: 533.333 Drops

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11 months ago

Rearrange the steps to solve for the following equation: 2(x-5)=8

OlgaM077 [116]

Answer:

$x=9$

Step-by-step explanation:

$2(x-5)=8$ | Given

$(2x-10)=8$ | Distribute the 2 inside the parentheses

$2x=8+10$ | Add 10 to both sides

$2x=18$ | Add. Optional; not included in your question.

$x=9$ | Divide by 2 on both sides.

4 0

3 years ago

PLEASE HELP

Sholpan [36]

1) We have that the equation is $x^2=20y$ , hence y=x^2/20. The standard equation of such an equation is y= $\frac{1}{4p} x^2$ . Hence, p=5 in this case. The focus is at (0,5) and the directrix is at y=-5 (a tip is that the directrix is always "opposite" the focus point of a parabola; if the directrix is at x=-7 for example, the focus is at (7,0)).
2) Similarly, we have that the equation is $x=3y^2 \\ \frac{1}{4p} =3$ . Thus, p=1/12. In this case, the parabola opens along the x-axis and the focus is at (1/12, 0). Also, the directrix is at x=-1/12. Hence the correct answer is B.
3) We are given that the parabola has a p of 9. Also, the focus lies along the y-axis, hence the parabola is opening along the y-axis. Finally, the focus is on the positive half, so the parabola is opening upwards. The equation for this case is y= $y=\frac{1}{4p} x^2= \frac{1}{36 } x^2$ .
4) Similarly as above. The directrix is superfluous, we only need the p-value. THe same comments about the parabola apply and if we substitute p=8 in the formula: $y= \frac{1}{4p} x^2$ we get y= $\frac{1}{32} x^2$ .
5) This is somewhat different, even though we do not need the directrix again. The focus lies on the x-axis, thus the parabola opens in this direction. The focus lies on the positive part of the axis, thus the parabola opens to the right. We also are given p=7. Hence, the equation we need is of the form $x= \frac{1}{4p} y^2$ . Substituting p=7, we get $x= \frac{1}{28} y^2$ .
6) The equation of a prabola with a vertex at (0,0) is of the form y=-ax^2. The minus sign is needed since the parabola is downwards. Since we are given anothe point, we can calculate a. We have to take y=-74 and x=14 feet (since left to right is 28, we need to take half). $-a= \frac{y}{x^2} = \frac{-74}{14^2} =-0.378$ . Thus a=0.378. Hence the correct expressions is y=-0.378* $x^2$