Need helpp fastt plss will give brainliest to who is correct plss helpp

n a laboratory experiment, an ultrasound detector located at D is used to measure the distances of two moving objects, P and Q.

jeyben [28]

Triangle PDQ has:

Side "p" is opposite Angle P

Side "d" is opposite Angle D = 45º + 23º = 68º

Side "q" is opposite Angle Q

Use the Law of Cosines:

d² = p² + q² − 2 • p • q • cos(D)

d² = (4.24)² + (4.24)² − 2 • (4.24) • (4.24) • cos(68º)

d² = 2(4.24)² − 2(4.24)² • cos(68º)

d² = 2(4.24)² • [ 1 – cos(68º) ]

<span> d = 4.74 ft
</span>Hope this helps

5 0

3 years ago

Read 2 more answers

58. Graph the function y=x^2+3x-18. How many real roots does the function have?

Airida [17]

9514 1404 393

Answer:

58. 2 real roots; see attached for a graph

59. -6, 3

Step-by-step explanation:

58. A graphing calculator graphs this easily. The graph is shown in the attachment. There are 2 x-intercepts, hence 2 real roots.

__

59. The x-intercepts are (-6, 0) and (3, 0), so the x-values x=-6 and x=3 satisfy the equation y = 0.

8 0

4 years ago

Which if the following summation notations represent this series?

kati45 [8]

Answer:

E.

Step-by-step explanation:

Let's look at the sequence:

$3,8,13,\cdots$

The sequence has a common difference. We say it has a common difference because 8-3 has the same value as 13-8.

The common difference is what these differences are equal which is 5.

The sequence is therefore linear or arithmetic (same thing).

So it has form $y=mx+b$ where the slope/common difference is 5.

$y=5x+b$

We need to find the $y-$ intercept $b$ .

The list of points is related to the above sequence:

$(x,y)$

$(1,3)$

$(2,8)$

$(3,13)$

I only need one of these points to find $b$ .

Let's use the first one since it has smallest numbers and I don't wish to use the calculator unless I really have to.

$y=5x+b$ with $(x,y)=(1,3)$ :

$3=5(1)+b$

$3=5+b$

Subtract 5 on both sides:

$3-5=b$

$-2=b$

So the equation for the set of points is:

$y=5x-2$

Now they are using $i$ instead of x[/tex]:

$a_i=5i-2$

Since all summations begin at $i=1$ , then the choices are done to either choice C and choice E.

I need to find how many terms are in the given series. The last number is 33. So what term number is associated with the value 33.

$a_i=5i-2$

$33=5i-2$

Add 2 on both sides:

$35=5i$

Divide both sides by 5:

$\frac{35}{5}=i$

$7=i$

So there are 7 terms and the 7th term is 33.

So the answer is choice E.

5 0

4 years ago

George still has 40 percent of his book to read. If George has read 180 pages, how many pages does he still have to read? How do

beks73 [17]

Answer: 72

Step-by-step explanation: so you do a line = line method the lines should look like they are fractions.

you do it for the both numbers the percent is always out of 100.

it should look like this

40% ?

--------- = -----------

100% 180

then you cross multiply 40 and 180 and than divide it by 100. your answer should be 72. you later replace the ? with 72

you know this because It is smaller than 180 and its bigger than the number 40.

5 0

3 years ago

Given: p: 3x + 7 = –5 q: 4x + 12 = –4 Which is the contrapositive of p → q?

Anna35 [415]

Answer:

D :If 4x + 12 ≠ –4, then 3x + 7 ≠ −5.

4 0

3 years ago