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3 years ago

I WILL MARK BRAINLIEST!!!

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

Step-by-step explanation:

800 times .035 (year 1) = 828

828 times .035 (y2) = 28.98 (add to 828)

856.98 times .035 = 29.99 (add to 856.98)

886.97 times .035 = 31.04 (add to 886.97)

918.01 times .035 = 32.13

918.01 plus 32.13 = 950.14

950.14

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Consider quadrilateral BCEF inscribed in circle A. Diagonals EB and CF intersect at point D. Select all the statements that are

Elena L [17]

Answer:

$m\angle ECB+m\angle EFB=180$

$m\angle CDB\cong m\angle EDF$

$m\angle CDB+m\angle DCB+m\angle CBD=180 \degree$

Step-by-step explanation:

From the diagram, quadrilateral BCEF is a cyclic quadrilateral.

Opposite angles if a cyclic quadrilateral sum up to 180°

$m\angle ECB+m\angle EFB=180$

The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.

$m\angle CDB\cong m\angle EDF$

Also sum of angles in triangle CBD is 180°.

$m\angle CDB+m\angle DCB+m\angle CBD=180 \degree$

6 0

2 years ago

Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]

MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

$f(x)=2x+\sin (4x)$

Now on differentiating both side with respect to x we get that:

$f'(x)=2+4 \cos (4x)$

When $f'(x)=0$

this means that $2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}$

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval $[0,\pi]$ .

also we know that $\cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}$ ----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

$4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}$

Hence, the x-coordinates where $f'(x)=0$ for $f(x)=2x+\sin(4x)$ is $\dfrac{\pi}{6}$ .

5 0

3 years ago

What are the solutions of the following system x2+y2=25 , 2x+y=-5

tia_tia [17]

Y=5-2x
x^2 + (5-2x)^2 = 25

x^2 + 25-20x+4x^2 = 25

x^2 +4x^2-20x+25=25
5x^2 -20x=0

x=0 and y=5

6 0

2 years ago

Read 2 more answers

The area of a square is 9 square units. How long is each side?

Liula [17]

The area = L*L=9 or 3*3=9
Which means that each sides length equals 3 if it is a perfect square.

6 0

3 years ago

Can somebody check this and tell me if its wrong or right? ASAP

Mandarinka [93]

Answer:

Right

Step-by-step explanation:

8 0

2 years ago