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2 years ago

PLEASE HELP WITH QUESTION, MARKING BRAINLIEST + POINTS!!!

Mathematics

1 answer:

JulijaS [17]2 years ago

8 0

1. This is a very easy question as you can just plug in 2 x-values and get the y-value, run a line through it, and you are done.

For example,
x = 2t
x = 2(2) = 4
x = 2(3) = 6

Now, you know there are points at (2, 4) and (3, 6).

2. This one is a little tricky, but all it's saying is that it has a specified domain. The parametric equation only works for values -2 ≤ t ≤ 3. So, you can do the exact same thing, except your line will only exist for points through the x-values -2 and 3. Let's plug in numbers:

y = t + 5
y = -2 + 5 = 3
y = 1 + 5 = 6

Now you know that this line runs through (-2, 3) and (1, 6). Remember, your line starts at -2 and ends at 3. It can't go any further than that.

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A rose garden Is formed by jolning a rectangle and a semicircle, as shown below. The rectangle Is 23 ft long and 14 ft wide.Find

Ratling [72]

Answer:

Area of the garden:

$\begin{equation*} 398.93\text{ ft}^2 \end{equation*}$

Explanation:

Given the below parameters;

Length of the rectangle(l) = 23 ft

Width of the rectangle(w) = 14 ft

Value of pi = 3.14

Since the width of the rectangle is 14 ft, so the diameter(d) of the semicircle is also 14 ft.

The radius(r) of the semicircle will now be;

$r=\frac{d}{2}=\frac{14}{2}=7\text{ ft}$

Let's now go ahead and determine the area of the semicircle using the below formula;

$A_{sc}=\frac{\pi r^2}{2}=\frac{3.14*\left(7\right)^2}{2}=\frac{3.14*49}{2}=\frac{153.86}{2}=76.93\text{ ft}^2$

Let's also determine the area of the rectangle;

$A_r=l*w=23*14=322\text{ ft}^2$

We can now determine the area of the garden by adding the area of the semicircle and that of the rectangle together;

$\begin{gathered} Area\text{ of the garden = Area of semi circle + Area of rectangle } \\ =76.93+322 \\ =398.93\text{ ft}^2 \end{gathered}$

Therefore, the area of the garden is 398.93 ft^2

8 0

5 months ago

GET BRAINLIEST AND ALL MEH POINTS

11111nata11111 [884]

Answer: Look at the tenths place to round to the nearest whole number.

Compare the estimated sum to the actual sum.

The estimated answer is close to the actual answer.

Step-by-step explanation:

Sample respond :)

4 0

2 years ago

Read 2 more answers

Make v the subject of the formula in H=m(v²-u²)/2gx

goldfiish [28.3K]

Answer:

$v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}$

Step-by-step explanation:

The given formula is :

$H=\dfrac{m(v^2-u^2)}{2gx}$

We need to find the formula for v.

Cross multiplying the given formula.

$H\times 2gx=m(v^2-u^2)$

Dividing both sides by m. So,

$\dfrac{H\times 2gx}{m}=\dfrac{m(v^2-u^2)}{m}\\\\(v^2-u^2)=\dfrac{H\times 2gx}{m}$

Adding both sides by u².

$(v^2-u^2)+u^2=\dfrac{H\times 2gx}{m}+u^2\\\\v^2=\dfrac{H\times 2gx}{m}+u^2\\\\\text{So},\\\\v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}$

Hence, this is the required formula.

4 0

1 year ago

The deer population in a certain state park doubles every year. In the year 2010, there were 30 deer in the park. Which function

Gala2k [10]

Answer:

y = 30(2)^x

Step-by-step explanation:

Initial deer population = 30 (in 2010)

Every year, deer population doubles ; this means there is an 100% increase in the population every year ;

Hence, using the exponential growth relation :

Final = initial * (1 + rate)^year

Here,

Final population y ; x years after 2010

Rate = 100% = 1

Hence,

y = 30(1 + 1)^x

y = 30(2)^x

7 0

2 years ago

A car travels at an average speed of 52 miles per hour. How long does it take to travel 234 miles

mars1129 [50]

Speed = distance/time

so to work out time you do distance/ speed

234/52= 4.5hours

7 0

2 years ago