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2 years ago

Fill in the missing numbers to complete the pattern 615,605,595

Mathematics

1 answer:

Sophie [7]2 years ago

7 0

We are given pattern 615,605,595.

Let us check differences of second term - first term and

Third term - second term

Second term - first term = 605 - 615 = -10.

Third term - second term = 595 - 605 = -10.

So, each time 10 is being subtracted from previous term.

So, the sequnace would be

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Match the expressions given in words with their values when m=6

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2 years ago

If the perimeter of an equilateral triangle is 30cm, find its area.

lora16 [44]

Answer:

A ≈ 43.3 cm²

Step-by-step explanation:

the area (A) of an equilateral triangle is calculated as

A = $\frac{s^2\sqrt{3} }{4}$ ( s is a side of the triangle )

given perimeter = 30 cm , then

s = 30 cm ÷ 3 = 10 cm

then

A = $\frac{10^2\sqrt{3} }{4}$ = $\frac{100\sqrt{3} }{4}$ = 25 $\sqrt{3}$ ≈ 43.3 cm² ( to the nearest tenth )

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1 year ago

2(4x-1)+3=7 i'm little confused on this

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Answer:

x = $\frac{3}{4}$

Step-by-step explanation:

Since you cannot subtract -1 from 4x, you multiply 2 × 4x = 8x

Now, you have 8x - 1 + 3 = 7

Seperate the 8x from the other numbers

8x = 1 - 3 + 7 ---> 6

8x = 6

Now simplify

x = $\frac{6}{8}$ <----- to reduce, divide the numerator and denominator by 2

Hence,

x = $\frac{3}{4}$

4 0

2 years ago

Determine whether 5n2 or 3n will have the greater value when: a. n = 1

densk [106]

Answer:

5n2 will have a greater value

Step-by-step explanation:

5n2

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5 0

2 years ago

The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Fin

NISA [10]

Answer:

The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

Step-by-step explanation:

We are given that

Mean, $\mu=8.04 g$

Standard deviation, $\sigma=0.08g$

We have to find the two weights that separate the top 3% and the bottom 3%.

Let x be the weight of machine components

$P(Xx_2)=0.03$

$P(X$

=0.03

From z- table we get

$P(Z1.88)=0.03$

Therefore, we get

$\frac{x_1-8.04}{0.08}=-1.88$

$x_1-8.04=-1.88\times 0.08$

$x_1=-1.88\times 0.08+8.04$

$x_1=7.8896$

$\frac{x_2-8.04}{0.08}=1.88$

$x_2=1.88\times 0.08+8.04$

$x_2=8.1904$

Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

5 0

1 year ago