All categories

2 years ago

Series calcular s=1+2+3+....+86

Mathematics

1 answer:

qwelly [4]2 years ago

6 0

Answer:

S = 3741

Step-by-step explanation:

Here, we want to calculate the sum of the first 86 numbers (starting from 1)

Mathematically, we can use the formula;

Sn = n/2[ a + L]

Where n is the number of terms (86 here)

a is the first term which is 1 and L is the last term which is 86

So, we have the sum as;

Sn = 86/2(1 + 86) = 43 * 87 = 3741

You might be interested in

La finca de Federico tiene tiene un área de 576 m2, En ella ha sembrado naranja y café, 3/8 de la finca están sembrados de naran

Vanyuwa [196]

Answer:

El área de la finca que está sembrada por café es 360 m².

Step-by-step explanation:

La finca de Federico tiene tiene un área de 576 m². $\frac{3}{8}$ de la finca están sembrados de naranjas. Entonces, el área de la finca que está sembrada por naranjas se calcula mediante:

576 m²* $\frac{3}{8}$ = 216 m²

Sabiendo que el resto de la finca esta sembrada de café, esta área se calcula mediante la diferencia del área total de la finca y el área sembrada por naranjas:

576 m² - 216 m²= 360 m²

El área de la finca que está sembrada por café es 360 m².

6 0

2 years ago

PLEASE HELP I DON’T UNDERSTAND, WILL BE MARKED AS BRAINLIEST

andre [41]

13.) A=9cm^2
If the area is l•h, and there are 9 cubic squares, that means that the length of each side on the square is 3cm, each square on it equals 1cm.
14.) V=27cm^3
If the volume is l•w•h, then we find the third power square root of 27, so 3•3=9•3=27, the answer is 3cm for the length, width, and height.
15.) V=4,913cm^3
If volume is l•w•h, then what number when raised to the third power equals 4913? The answer is 17, since 17•17=289•17=4913. So the length is 17cm
16.)V=216cm^3
If volume is l•w•h, then what number when raised to the third power equals 216? The answer is 6, since 6•6=36•6=216.
17.)A=121
Is area is l•w, then what number raised to the second power equals 121? The answer is 11, since 11•11=121. Therefore it WILL NOT fit a car with a length of 13ft.
18.)A=141
If area is l•w, then what number raised to the second power equals 141? The answer is 12, since 11.87•11.87=141 (answer was rounded to nearest whole number) meaning that she will need 12ft of fence to enclose her garden.

3 0

2 years ago

I’m stuck on all of these :( any help would be very appreciated

dem82 [27]

Answer:

1. 8x^3+6x^2+7

Step-by-step explanation:

8 0

2 years ago

Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (–10, 6), (4, 6).

fomenos

Answer:

$\frac{(x--3)^2}{49} -\frac{(y-6)^2}{32}=1$

Step-by-step explanation:

The standard equation of a horizontal hyperbola with center (h,k) is

$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is $2a=|4--10|$ .

$\implies 2a=|14|$

$\implies 2a=14$

$\implies a=7$

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is $(\frac{-10+4}{2},\frac{6+6}{2}=(-3,6)$

We need to use the relation $a^2+b^2=c^2$ to find $b^2$ .

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

$c=|6--3|=9$

$\implies 7^2+b^2=9^2$

$\implies b^2=9^2-7^2$

$\implies b^2=81-49$

$\implies b^2=32$

We substitute these values into the standard equation of the hyperbola to obtain:

$\frac{(x--3)^2}{7^2} - \frac{(y-6)^2}{32}=1$

$\frac{(x+3)^2}{49} -\frac{(y-6)^2}{32}=1$

7 0

2 years ago

Make a conjecture. How could the distance formula and slope be used to classify triangles and quadrilaterals in the coordinate p

Alexeev081 [22]

the distance formula to find the length of the sides... opposite sides equal it could be a rectangle or parallelogram all sides equal, square or rhombus adjacent equal, kite and then the slope is used to check angles if the product of the 2 lines in -1 the lines are perpendicular (right angle) the the slopes of 2 lines are the same the sides are parallel.

I think this is it ^_^

7 0

2 years ago