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3 years ago

The lengths of angles given represent the sides or angles of a triangle.

Mathematics

1 answer:

Dafna1 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Comparing the sides: 20 = 12 + 8.

The largest side must be less than the sum of the other 2 sides for there to be a triangle.

No triangle can have these dimensions.

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After a 80% reduction, you purchase a new washing machine on sale for $56.

Daniel [21]

80% = $56
1% = $56/80 = $70
100% = $70 * 100 = $700
Original price = $700
Hope this helps.
:-)

3 0

2 years ago

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing t

azamat

The glass will contain <u>89.086 milliliters</u> of juice with 7 ice cubes, using the equation of the line of best fit, y = -29.202x + 293.5.

In the question, we are informed that the equation of the line of best fit, for the, scatter plot with x representing the number of ice cubes and y representing the milliliters of juice is given as y = -29.202x + 293.5.

We are asked to tell how many milliliters of juice will be in a glass with 7 ice cubes based on the line of best fit.

To find the milliliters of juice in the glass with 7 ice cubes, we substitute x = 7, in the equation of the line of best fit, to get a value of y, representing the milliliters of juice in the glass.

Thus,

y = -29.202x + 293.5,

or, y = -29.202(7) + 293.5 {Substituting x = 7},

or, y = -204.414 + 293.5,

or, y = 89.086.

Thus, the glass will contain <u>89.086 milliliters</u> of juice with 7 ice cubes, using the equation of the line of best fit, y = -29.202x + 293.5.

Learn more about the equation of the line of best fit at

brainly.com/question/1564293

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4 0

2 years ago

If a cannonball is shot directly upward with a velocity of 160 ft per second, its height above the ground after t seconds is gi

Contact [7]

Step-by-step explanation:

If a cannonball is shot directly upward with a velocity of 160 ft per second. Its height as a function of time is given by :

$h(t)=160t-16t^2$ .......(1)

t is in seconds

(a) Velocity is given by :

$v=\dfrac{dh}{dt}\\\\v=\dfrac{d(160t-16t^2)}{dt}\\\\v=(160-32t)\ ft/s$

Acceleration is given by :

$a=\dfrac{dv}{dt}\\\\a=\dfrac{d(160-32t)}{dt}\\\\a=-32\ ft/s^2$

(b) For maximum height put $\dfrac{dh}{dt}=0$

i.e.

$160-32t=0\\\\t=5\ s$

Put t = 5 s in equation (1). So,

$h(5)=160t-16t^2\\\\h(5)=160(5)-16(5)^2\\\\h(5)=400\ ft$

h(t) = 0

$160t-16t^2=0\\\\t(160-16t)=0\\\\t=0,t=10\ s$

Hence, this is the required solution.

4 0

3 years ago

P(x) = x2 – 1 and q(x)=5(x-1), which expression is equivalent to (p – q)(x)?

Delicious77 [7]

P(x) - q(x) = x²-1 -5(x-1)
= x²-1-5x+5
=x²-5x+4

3 0

3 years ago

Read 2 more answers

a researcher is conducting a study on local businesses. in order to create her sample, she uses the yellowpages and a dice. she

katrin2010 [14]

Her sample space is also the list of local businesses.

Sampling is a technique used in statistics when researchers choose a representative subset of a larger population and utilize that subset to carry out a study. Probability sampling and non-probability sampling are the two main types of sampling. Selecting the group from whom you will actually gather data for your study is the process of sampling. If you wanted to examine the perspectives of students at your university, for instance, you could interview a sample of 100 students. With the help of sampling, you can test a statistical hypothesis on the features of a population.

The yellow pages are used by the researcher to do research on neighborhood companies. As a result, her sample space also includes a list of nearby companies.

Complete question: A researcher is conducting a study on local businesses. In order to create her sample, she uses the Yellowpages and a dice. She rolls the dice, and, depending on the number rolled, counts that many businesses down in the list to call. What is her sampling frame?

The list of local businesses in the Yellowpages.

All businesses within a $10 \mathrm{~km}$ radius.

The list of local businesses in the newspaper.

All businesses in the state she is located in.

The list of registered businesses in her area.

To read more about samplings, visit brainly.com/question/13287171

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5 0

1 year ago