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11 days ago

1.4 puzzle time Why was the geometry book so sad? It had

Mathematics

2 answers:

zzz [9K]11 days ago

6 0

The reason it was sad was that it contained unfortunate themes; please be more detailed.

lawyer [9.2K]11 days ago

6 0

Haha, because it's discussing or illustrating some melancholic topics.

I hope this is helpful

Have a good day or night

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What must be subtracted from 4x4 - 2x3 -6x2 + x - 5 so that the result is exactly divisible by 2x2 + 3x - 2? PLS ANSWER. I WILL

Zina [9179]

Answer:

Step-by-step explanation:

For resolution, the Euclidean division is necessary:

The polynomial is expressed as 16-2x³-6x²+x+9=-2x³-6x²+x+9
We will divide this by: 4+3x-2=3x+2 and analyze the remainder

A visual representation of the process is provided

The remainder is 47/9, hence the value to subtract is 47/9

8 0

21 day ago

The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi u

babunello [8423]

The illustration is omitted. Please see the attachment below.

Answer:

The area of the shaded sector is 144π square units.

Step-by-step breakdown:

Given:

The central angle for the sector is, $\theta=\frac{8\pi}{9}\ rad$

The circle's radius is, $R=18\ units$

The area of a sector with radius 'R' and angle $\theta$ can be determined with:

$A=\frac{1}{2}R^2\theta$

Substituting $\theta=\frac{8\pi}{9},R=18$ gives

$A=\frac{1}{2}\times (18)^2\times \frac{8\pi}{9}\\\\A=(\frac{324\times 4}{9})\pi\\\\A=(36\times 4)\pi\\\\A=144\pi\ units^2$

Thus, the area of the shaded sector calculates to 144π square units.

5 0

1 month ago

Read 2 more answers

7. During a person's commute to school, she spends 10 minutes driving 30 miles per hour (mph) and 5 minutes stopped at red light

Inessa [9006]

Answer:

5 miles in total

Step-by-step explanation:

Given:

Time spent driving = 10 min = 10 / 60 = 1/6 hour

Duration of stop = 5 min

Driving speed = 30 miles per hour

Find:

Complete distance

Computation:

Distance traveled = Speed × time

Distance = 30 × (1/6)

Total distance = 5 miles

5 0

1 month ago

A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?

Inessa [9006]

The formula for the sum of an arithmetic series is expressed as:
Sn=n/2(a1+an)
where:
n=total terms
a1=the initial term
an=the final term
given
n=18, an=275, Sn=4185
substituting these values into the equation results in:
4185=18/2(a1+275)
after simplification, we obtain:
4185=9(a1+275)
dividing by 9 yields:
465=a1+275
therefore
a1=465-275
a1=190

Conclusion: the first term is 190

3 0

11 days ago

Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is d =

AnnZ [9104]

Answer:

The distance from the point (0,1,1) to the specified line is zero.

Step-by-step explanation:

Considering the parametric equations of the line,

x=2t, y=5-2t, z=1+t

In order to calculate the distance from (0,1,1), we must remove t from the equations above, such that

$y=5-2t=5-x\implies x+y=5=4+1=4+z-t=4+z-\frac{1}{2}x$

$\implies 3x+2y-2z-8=0\hfill (1)$

whose direction ratios are (l,m,n)=(3,2,-2) and the distance from point (a,b,c)=(0,1,1) is defined as

$\frac{al+bm+cn}{\sqrt{l62+m^2+n^2}}=\frac{(3\times 0)+(2\times 1)+(-2)(1)}{\sqrt{3^2+2^2+(-2)^2}}=\frac{0+2-2}{\sqrt{17}}=0$

The distance between the point (0,1,1) and (1) amounts to zero. Therefore, the point (0,1,1) is located on the line (1).

8 0

13 days ago