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3 years ago

What are the next three numbers in this pattern 1,2,3,5,8

Mathematics

2 answers:

kvasek [131]3 years ago

8 0

Just add the two previous numbers together
13, 21, 34

stepladder [879]3 years ago

7 0

13, 21, 34 are the next three numbers

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A triangle has two sides of length 1 and 2. What compound inequality describes the possible lengths for the third side, x?Write

klemol [59]

Step-by-step explanation:

since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be

side < 1 + 2 = 3

so,

side < 3

for a lower limit let's go through the cases

1 < 2 + side (is always true)

2 < 1 + side

1 < side (side must be larger than 1)

and again

side < 1 + 2 = 3

side < 3

so the full restriction for the third side is

1 < side < 3

7 0

2 years ago

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh

expeople1 [14]

Answer:

The correct answer is:

The volume of the triangular prism is equal to the volume of the cylinder

Step-by-step explanation:

Given that there are two figures

1. A right triangular prism and

2. Right cylinder

Area of cross section of prism is equal to Area of cross section of cylinder.

Let this value be A.

Also given that Height of prism = Height of cylinder = 6

Volume of a prism is given as:

$V_{Prism} = \text{Area of cross section} \times Height$

$V_{Prism} = A \times 6 ........ (1)$

Cross section of cylinder is a circle.

Area of circle is given as: $\pi r^{2}$

Area of cross section, A = $\pi r^{2}$

Volume of cylinder is given as:

$V_{Cylinder} = \pi r^{2} h\\\Rightarrow V_{Cylinder} = A \times h\\\Rightarrow V_{Cylinder} = A \times 6 ...... (2)$

From equations (1) and (2) we can see that

$V_{Prism}=V_{Cylinder}$

Hence, the correct answer is:

Volume of prism is equal to the volume of cylinder.

3 0

3 years ago

Can someone please answer the problem in the picture?

Elenna [48]

Answer:

Rate of change is 6/7 Initial value: 6

Step-by-step explanation:

To find the slope (which is the rate of change), use (y1 - y2)/(x1 - x2).

x1 and y1 will be (0, 6)

x2 and y2 will be (7, 0)

Note that x1 x2 y1 y2 can be any points on the line, I just chose these because they were x and y-intercepts.

(6 - 0)/(0 - 7) = 6/7

The initial value is simply the y-intercept, which is 6.

8 0

3 years ago

Find the value of Z for the triangles

kolbaska11 [484]

Answer:

z = 17.5

Step-by-step explanation:

segment RX is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

$\frac{RS}{RT}$ = $\frac{SX}{TX}$ , substitute values

$\frac{15}{z}$ = $\frac{6}{7}$ ( cross- multiply )

6z = 105 ( divide both sides by 6 )

z = 17.5

4 0

3 years ago

A student got a summer job at an electronics store. the student is given two different compensation plans. plan A pays a weekly

kykrilka [37]

They will make the same amount after 10 phones sold. Before that Plan A is the better plan. After 10, Plan B is the better plan.

You can find the point of intersection by modelling the two equations and setting them equal to each other. If x is equal to phones sold:

250 + 25x = 50x
250 = 25x
10 = x

Therefore, you make the same at 10 phones.

4 0

3 years ago