Is it possible to draw a triangle with sides 150cm, 10cm, 10cm

Answers

Answer 1
Answer: It is absolutely impossible to draw a triangle of sides 150 , 10 and 10 cm. With one side so large, it is impossible, which will make the two angles two small to intersect and the angle will be < 0, which is not possible in a triangle.

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Given that x+1 is a factor of 3x³-14x²-7x+d, show that d= 10

Answers

Answer:

3x³ - 14x² - 7x + d = (x + 1)(ax² + bx + c)

--------------------------

  (x + 1)(ax² + bx + c)  

= ax³ + bx² + cx + ax² + bx + c

= ax³ + (a + b)x² + (b + c)x + c

--------------------------

ax³ + (a + b)x² + (b + c)x + c = 3x³ - 14x² - 7x + d

=> a = 3

    a + b = -14

    b + c = -7

    c = d

=> a = 3, b = -17, c = 10, d = 10

Solve a÷b(×)-c=0 for x
Help me please :)

Answers

a b x−c=0 Step 1: Multiply both sides by b. ax−bc=0 Step 2: Add bc to both sides. ax−bc+bc=0+bc ax=bc Step 3: Divide both sides by x. ax x = bc x a= bc x Answer: a= bc x

Answer:

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Step-by-step explanation:

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The table shows the battery life of four different mobile phones.Mobile Phone Battery Life
Phone Battery Life
A 20
B 25
C 10
D 18


If 7.75% of the battery life of each mobile phone is used in a day by a typical user, for which mobile phone is 0.775 hour of battery life used in a day?
Phone A
Phone B
Phone C
Phone D

Answers

Answer:

Probably phone C

Step-by-step explanation:

Answer:

1. B

2. D

hope this helped

Write an equation of the line that passes through (-2,3) and (0,8).

Answers

Answer: y = 5/2 x + 8

Step-by-step explanation:

Find m using two points (-2,3) and (0,8) = 8-(3) / 0- (-2) = 5/2

y = 5/2 x + b

8 = 5/2 (0) + b

8 = b

y = 5/2 x + 8

A local Dunkin' Donuts shop reported that its sales have increased exactly 12% per year for the last 2 years. This year's sales were $81,427. What were Dunkin' Donuts' sales 2 years ago? (Round each year's sales to the nearest dollar.)

Answers

Answer:

If the sales 2 years ago were x, the sales last year were 1.12x and this year's sales were 1.12 * (1.12x). We can write 1.12 * (1.12x) = 81427 so that means x = $64913.

Final answer:

Dunkin' Donuts' sales 2 years ago were approximately $64,913.

Explanation:

In order to find Dunkin' Donuts' sales 2 years ago, we can use the information provided that their sales have increased by 12% per year for the last 2 years. Let's denote their sales 2 years ago as x. Then, their sales 1 year ago would be x increased by 12%: (x + 0.12x) = 1.12x. And their sales this year would be 1.12x increased by 12%: (1.12x + 0.12(1.12x)) = 81,427.

Simplifying the equation:

  1. 1.12x + 0.1344x = 81,427
  2. 1.2544x = 81,427
  3. x = 81,427 / 1.2544
  4. x ≈ 64,913

Therefore, Dunkin' Donuts' sales 2 years ago were approximately $64,911.

Learn more about Calculating Sales

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The mean and standard deviation of a population being sampled are 64 and 6, respectively. If the sample size is 50, what is the standard error of the mean? how do I find the standard error?

Answers

SEM - Standard error of the mean;
You can find the standard error with a formula:
SEM = s / √n,   where s is the standard deviation and n is the sample size;
SEM = 6 / √50 = 6 / 7.071
Answer:
SEM = 0.8485 

Final answer:

The standard error is calculated as the standard deviation divided by the square root of the sample size. For a population with a standard deviation of 6 and a sample size of 50, the standard error is 6 / sqrt(50).

Explanation:

The standard error can be defined as the standard deviation divided by the square root of the number of samples. It helps to estimate the variability in the population. In this case, the mean is 64, the standard deviation is 6, and the sample size is 50. The equation to calculate the standard error is:  

Standard Error = Standard Deviation /  \sqrt(Sample Size).

Plugging in the values given in the question, we get:

Standard Error = 6 / \sqrt(50)

. After performing the division, you will get the standard error of the mean which tells you how far your sample mean could be from the true population mean.

Learn more about Standard Error here:

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