Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths.Base 3 1/2 feet, altitude 3/4 feet.

Answers

Answer 1

Answer: as we know area = base * altitude

so area = (7/2)*(3/4)
= 21/8
= 2.62 feet²

hope it helped

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What value of k makes the trinomial x^2- 10x + k a perfect square?

Answers

Answer: 25

Step-by-step explanation: (x-a)² = x² - 2ax + a²

From x² - 10x + k we deduce that 10x = 2·5x and a = 5

Then k = 5²2

In June, Clarissa used 115 gigabytes of data on her cell phone. Given that June has 30 days, how much data did she use on average per day?

Answers

Answer:

3.8333333333...

Step-by-step explanation:

you take how many gigabytes (115) and divided it by the 30 days, giving you 3.833333333...

The answer would be 3.8 so the choice would be c

A certain species of tree grows an average of 3.1 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 400 centimeters tall.

Answers

Answer:

$y = 3.1x+400$ c

Step-by-step explanation:

Slope intercept form:

The equation of straight line is given by:

$y =mx+b$ ....[1]

where, m is the rate or slope and b is the initial value of y-intercept.

As per the statement:

A certain species of tree grows an average of 3.1 cm per week.

Let x be the number of week and y represents the weekly height of the tree.

then;

" tree grows an average of 3.1 cm per week." translated to 3.1 x

It is also given that:

the measurements begin when the tree is 400 centimeters tall.

⇒y(0) =b = 400 cm

Substitute the given values in [1] we have;

$y = 3.1x+400$

Therefore, an equation for the sequence that represents the weekly height of this tree in centimeters is, $y = 3.1x+400$

Y = 400 + 3.1x

X for the number of weeks
Y for total CM

Hope this helps...

A number is chosen at random from 1 to 10. What’s the probability of selecting a odd number

Answers

Answer:

There is a 50% chance of selecting an odd number.

Step-by-step explanation:

Total number of possibilities = 10.

We want to find Probability of selecting odd:

Favourable possibilities are:

1 or 3 or 5 or 7 or 9. (Total 5 possibilities).

Therefore Probability = 5 / 10 = 1/2 or 50%.

Answer: 1/2

8. What is the solution to the system? y = 1/2x, 2x + 3y = 28A) (2, 3)
B) (8, 4)
C) (7, 3.5)
D) (2, 14)

Answers

$y=(1)/(2)x \n2x+3y=28 \n \n\hbox{substitute } (1)/(2)x \hbox{ for y in the second equation:} \n2x+3 ((1)/(2)x)=28 \n2x+(3)/(2)x=28 \ \ \ \ \ |* 2 \n4x+3x=56 \n7x=56 \ \ \ \ \ \ \ \ \ \ \ \ |/ 7 \nx=8 \n \ny=(1)/(2)x=(1)/(2) * 8=4 \n \n\boxed{(x,y)=(8,4)} \Leftarrow \hbox{answer B}$

Two of the greatest Greek mathematics were Archimedes (287-212 B.C) and Pythagoras (569-500 BC).A. Express the year of Archimedes'birth as a negative number
B.Express the year of Pythagoras' birth as a negative number.
C. How many years apart were they born?My answers was as followed and it was wrongA.-75B.-69C.6

Answers

The years apart that they were born is 282

How to express their years as a negative number?

Archimedes' birth year

We have the year range to be:

(287-212 B.C)

In the above years, the year of birth is:

287

As a negative number, we have;

-(-287)

Hence, Archimedes'birth as a negative number is -(-287)

Pythagoras' birth year

We have the year range to be:

(569-500 BC).

In the above years, the year of birth is:

569

As a negative number, we have;

-(-569)

Hence, Pythagoras 'birth as a negative number is -(-287)

The years apart that they were born

This is the difference between their birth years.

So, we have:

Years = -(-569) - -(-287)

Evaluate

Years = 282

Hence, the years apart that they were born is 282

Read more about mathematical statements at:

brainly.com/question/9048478

#SPJ6

Archimedes (287-212 B.C) --> - 287 birth year

Pythagoras (569-500 BC) ---> - 569 birth year

569 - 287 = 282 as years apart of their birth years

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There goes my hopes for Virtuoso rank....What are the zeros of the function y = x2 + 10x – 171, and why? A) The zeros are x = –19 and x = 9 because in factored form, the function is y = (x – 19)(x + 9) B) The zeros are x = –19 and x = 9 because in factored form, the function is y = (x + 19)(x – 9). C) The zeros are x = 19 and x = –9 because in factored form, the function is y = (x – 19)(x + 9). D) The zeros are x = 19 and x = –9 because in factored form, the function is y = (x + 19)(x – 9).

The table shows the approximate measurements of the Great Pyramid of Giza in Egypt and the Pyramid of Kukulcan in Mexico.Pyramid Height (meters)Area of the Base(square metersPyramid Height (meters)Great Pyramid of Giza 147 52,900Pyramid of Kukulcan 30 3,025Approximately what is the difference between the volume of the Great Pyramid of Giza a