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3 years ago

Answer and solution in 2xy-5yz-4x+10z

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

5 0

Answer:

2xy+10z-5yz-4x

Step-by-step explanation:

Just put the positives and negatives together. You can't add or subtract any of them because they aren't like terms.

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The edge length of a cube is 17 cm. Identify the length of its diagonal. Round to the nearest tenth, if necessary. HELP PLEASE!!

lara31 [8.8K]

Answer:

29.4 cm

Step-by-step explanation:

The length of the space diagonal can be found to be the root of the squares of the three orthogonal edge lengths. For a cube, those edge lengths are all the same, so the diagonal length is ...

d = √(17^2 + 17^2 +17^2) = 17√3 ≈ 29.4 . . . . cm

_____

Consider a rectangular prism with edge lengths a, b, c. Then the face diagonal of the face perpendicular to edge "a" has length ...

(face diagonal)^2 = (b^2 +c^2)

and the space diagonal has length ...

(space diagonal)^2 = a^2 + (face diagonal)^2 = a^2 +b^2 +c^2

So, the length of the space diagonal is ...

space diagonal = √(a^2 +b^2 +c^2)

when the prism is a cube, these are all the same (a=b=c). This is the formula we used above.

3 0

3 years ago

There are 32 students in a class how many ways can the Class be divided into groups with equal numbers of students are what are

kumpel [21]

They can be divided into

2 groups of 16
4 groups of 8
8 groups of 4
16 groups of 2

3 0

3 years ago

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which

Aloiza [94]

Answer:

$\frac{4cm}{1year}*\frac{10mm}{1cm}*\frac{1year}{365days}$

Step-by-step explanation:

Whenever we are doing unit conversions, we have to remember to make the first ratio and then each successive ratio should be put <em>in such a way</em> that the top and bottom cancels out with each unit and whatever we want, remains.

A simple example would be if we were to just convert from cm to mm. Suppose we want to convert 5 centimeters to millimeters. We can write the ratios is 2 ways:

First:

$5cm*\frac{10mm}{1cm}$

Second:

$5cm*\frac{1cm}{10mm}$

The first one is correct since we want mm, mm should be on top and cm should be on bottom form cm and cm to get canceled.

Now, for our problem, we want mm on top and day on bottom. So, cm and year should cancel. Looking at the first choice, the conversion factors are correct & skimming through, we see that

cm and cm cancels (top and bottom), also year and year cancels (top and bottom), it will leave us with mm on top and days on bottom, <em>which is what we want</em>.

First answer choice is right.

6 0

3 years ago

Read 2 more answers

Circumference, radius, slant height, lateral area, and surface area are measurements of a cone. Given two of the measurements, f

USPshnik [31]

Answer:

LA = 21.7 ft²; C = 18.8 ft; h = 2.3 ft
h = 8 in; r = 7 in; SA = 330.1 in²

Step-by-step explanation:

Applicable relations are ...

C = 2πr . . . . . . . r = radius, C = circumference

LA = 1/2·Ch . . . . h = slant height, LA = lateral area

SA = πr² +LA . . . SA = total surface area

1. Given r and SA, we can find the other measures as ...

LA = SA -πr² = 50 ft² -π(3 ft)² ≈ 21.7 ft²

C = 2πr = 2π(3 ft) ≈ 18.8 ft

h = 2·LA/C ≈ 2·21.7 ft²/(18.8 ft) ≈ 2.3 ft

(Please note that for calculations using intermediate results, we used the full-precision values of those results, not the rounded ones. Rounding is always the last operation. Please note, too, that we have used a value for π sufficient to ensure accuracy in all the digits shown here.)

2. Given C and LA, we can find the other measures as ...

h = 2·LA/C = 2(176 in²)/(44 in) = 8 in

r = C/(2π) = (44 in)/(2π) ≈ 7.0 in

SA = LA +πr² = LA +rC/2 ≈ 176 in² +(7.0 in)(44 in)/2 ≈ 330.1 in²

4 0

3 years ago

19. Given that the lines are parallel, what angle is congruent to angle 6?

nikklg [1K]

It is C bc it is on the opposite side and on the outside

6 0

3 years ago