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Serggg [28]
2 years ago
8

Find the sum of all integers 30 to 80. (Is there a formula to do this?

Mathematics
2 answers:
Shkiper50 [21]2 years ago
7 0

Answer:

Add all the numbers from 30 to 80 and that is your answer

Step-by-step explanation:


Brums [2.3K]2 years ago
5 0

you consider the arithmetic series with first term 30, common difference 1, and last term 80

the sum of arithmetic sequence is n/2(first term + last term), and there are (80-30)+1 = 51 numbers so n = 51 and so 51/2(30+80) = 2805 which represents the sum 30 + 31 + 31 + ... + 78 + 79 + 80

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Calculate the area of the quarter circle estimate using 3.14 for pi
mars1129 [50]

The area of the quarter circle with radius 3ft is 7.065 ft^2

Area of a quarter circle is given by the formula:

Area = \frac{\pi r^2}{4}

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π  =  3.14

Substitute π = 3.14 and r = 3 into the formula Area = \frac{\pi r^2}{4}

Area = \frac{3.14 \times 3^2}{4}\\\\Area =   \frac{3.14 \times 9}{4}\\\\Area =  \frac{28.26}{4}\\\\Area = 7.065 ft^2

The area of the quarter circle with radius 3ft is 7.065 ft^2

Learn more here: brainly.com/question/25843249

6 0
2 years ago
What is the slope of a line that is perpendicular to the line who’s equation is y=4/5x-3
alexandr402 [8]

This line y = 4/5 x - 3 has slope = 4/5

Perpendicular lines, slope is opposite and reciprocal so slope of a line that is perpendicular to the line y = 4/5 x - 3 is -5/4

Answer

- 5/4

8 0
3 years ago
Read 2 more answers
Determine
mihalych1998 [28]

Answer:

=4.+2.

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector \vec b is a linear combination of \vec a_1 and \vec a_2 if there are two scalars x_1, x_2 such as

\vec b=x_1\vec a_1+x_2\vec a_2

In our case, all the vectors are given in R^3 but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

\vec a_1=,\ \vec a2=,\ \vec b=

We set the equation

=x_1.+x_2.

Multiplying both scalars by the vectors

=+

Equating each coordinate, we get

4x_1-4x_2=8

5x_1+3x_2=26

-4x_1+3x_2=-10

Adding the first and the third equations:

-x_2=-2

x_2=2

Replacing in the first equation

4x_1-4(2)=8

4x_1=8+8

x_1=4

We must test if those values make the second equation become an identity

5(4)+3(2)=20+6=26

The second equation complies with the values of x_1 and x_2, so the solution is

=4.+2.

8 0
3 years ago
What is the area of the triangle shown below?
Effectus [21]

Answer:

42 sq. Units

Step-by-step explanation:

I took the test

7 0
3 years ago
What is the answer to 11 &gt; b + 4 &gt; -6
Anestetic [448]

11 > b+4 > -6\\11 - 4 > b > -6-4\\7 > b > -10

Hope that helps!

7 0
2 years ago
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