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2 years ago

Can someone please help me with this question. I just need to know the height.

Mathematics

1 answer:

Lady_Fox [76]2 years ago

4 0

Step-by-step explanation:

Area of triangle = 1/2 . base . height

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The first term of an arithmetic sequence is -3 and the fifteenth term is 53 what is the common difference of the sequence

saul85 [17]

Solution

The 1st term = -3

15th term = 53

15th term = a + d(n-1)

53 = -3 + d(15- 1) [Here n = 15)

53 + 3 = d(14)

14d = 56

d = 4

The common difference is 4.

7 0

3 years ago

What are the solutions to the equation

frosja888 [35]

Answer:

$x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i$ and $x_2=\frac{1}{4}-(\frac{\sqrt{7} }{4})i$

Step-by-step explanation:

You have the quadratic function $2x^2-x+1=0$ to find the solutions for this equation we are going to use Bhaskara's Formula.

For the quadratic functions $ax^2+bx+c=0$ with $a\neq 0$ the Bhaskara's Formula is:

$x_1=\frac{-b+\sqrt{b^2-4.a.c} }{2.a}$

$x_2=\frac{-b-\sqrt{b^2-4.a.c} }{2.a}$

It usually has two solutions.

Then we have $2x^2-x+1=0$ where a=2, b=-1 and c=1. Applying the formula:

$x_1=\frac{-b+\sqrt{b^2-4.a.c} }{2.a}\\\\x_1=\frac{-(-1)+\sqrt{(-1)^2-4.2.1} }{2.2}\\\\x_1=\frac{1+\sqrt{1-8} }{4}\\\\x_1=\frac{1+\sqrt{-7} }{4}\\\\x_1=\frac{1+\sqrt{(-1).7} }{4}\\x_1=\frac{1+\sqrt{-1}.\sqrt{7}}{4}$

Observation: $\sqrt{-1}=i$

$x_1=\frac{1+\sqrt{-1}.\sqrt{7}}{4}\\\\x_1=\frac{1+i.\sqrt{7}}{4}\\\\x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i$

And,

$x_2=\frac{-b-\sqrt{b^2-4.a.c} }{2.a}\\\\x_2=\frac{-(-1)-\sqrt{(-1)^2-4.2.1} }{2.2}\\\\x_2=\frac{1-i.\sqrt{7} }{4}\\\\x_2=\frac{1}{4}-(\frac{\sqrt{7}}{4})i$

Then the correct answer is option C.

$x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i$ and $x_2=\frac{1}{4}-(\frac{\sqrt{7} }{4})i$

3 0

2 years ago

Help please!! I have no idea what I’m doing

Inga [223]

It’s a black picture can’t see

8 0

2 years ago

Write a System of Linear Inequalities

Neko [114]

Answer:

1.50x+2.50y=25
x+y=6

hope this helps!

4 0

2 years ago

A container at the petting zoo holds 8138.88 cubic centimeters of grain. Visitors can fill paper cones with with grain from the

alexandr1967 [171]

Answer:

The volume of the container is = 8138.88 cubic centimeters

Radius of the cone = 4 cm

Height of the cone = 9 cm

Volume of the cone =

So putting the values as pi=3.14 , r=4 and h=9 we get

= 150.72 cubic cm

So, the number of times the cone can be filled is =

The number of times is = 54.

Step-by-step explanation:

54 is your answer

6 0

2 years ago

Read 2 more answers