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aleksandrvk [35]
3 years ago
10

Please answer and show work, tysm you'll get brainilest (i cant spell lol)

Mathematics
1 answer:
Lana71 [14]3 years ago
7 0

Solution:

<u>Note that:</u>

  • Volume of prism = LBH
  • L = 6 m
  • B = 4 m
  • H = 2 m

Substitute the values into the expression to find the volume.

  • Volume of prism = LBH
  • => Volume of prism = (6)(4)(2)
  • => Volume of prism = 48 m³

Color yellow is correct

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Sviatoslav solved the quadratic equation x^2-x-1=0 by completing the square. In the process, he came up with the equivalent equa
zimovet [89]

Answer:

x=\frac{1+\sqrt5}{2} and  x=\frac{1-\sqrt5}{2}

and b=\frac{5}{4}

Step-by-step explanation:

We are given that a quadratic equation

x^2-x-1=0

We have to solve the equation by completing square and find the value of b.

(x)^2-2\times x\times \frac{1}{2}+(\frac{1}{2})^2-(\frac{1}{2})^2-1=0

(x-\frac{1}{2})^2-\frac{1}{4}-1=0

(x-\frac{1}{2})^2-\frac{1-4}{4}=0

(x-\frac{1}{2})-\frac{5}{4}=0

(x-\frac{1}{2})^2-(\frac{\sqrt5}{2})^2=0

(x-\frac{1}{2})^2=(\frac{\sqrt5}{2})^2

x-\frac{1}{2}=\frac{\sqrt5}{2} and x-\frac{1}{2}=-\frac{\sqrt5}{2}

x=\frac{\sqrt5}{2}+\frac{1}{2}=\frac{1+\sqrt5}{2}

And x=\frac{1}{2}-\frac{\sqrt5}{2}=\frac{1-\sqrt5}{2}

Therefore,x=\frac{1+\sqrt5}{2} and  x=\frac{1-\sqrt5}{2}

and b=\frac{5}{4}

6 0
3 years ago
Is this correct? i’m bot sure if it is
charle [14.2K]

Answer: yes its correct

5 0
3 years ago
Read 2 more answers
The graph of the function f(x) = –(x + 3)(x – 1) is shown below.
pav-90 [236]

Answer:

The function is negative for all real values of x where

x < –3 and where x > 1.

Step-by-step explanation:

This quadratic function is downward parabola.

It's root are -3 and 1.

Quadratic is positive between -3 and 1.

And negative on R-(-3,1).

4 0
3 years ago
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Please show me how to solve this equation step by step!<br> 1/25(20-t)=4/25t-3/5
rjkz [21]

Remark

Multiply both sides of the equation by 25. Then you have an equation that you have already done probably.

Step One

Multiply both sides of the equation by 25

1 * (20 - t) = 4t - (3/5) * 25    Every part of the equation must be multiplied by 25

(20 - t) = 4t - 75/5                 3*25/5 = 75/5

20 - t = 4t - 15                       Add t to both sides

20 - t + t =4t + t  - 15             Combine like terms

20 = 5t - 15                            Add 15 to both sides

20 + 15 = 5t - 15 + 15             Combine like terms  

35 = 5t                                    Divide by 5

35/5 = 5t/5                             Switch sides

t = 7  Answer

5 0
3 years ago
A principal simulated a student raffle using 500 trials and recorded the grade level of the winner each time. The results are sh
AlexFokin [52]

Answer:

0.16

Step-by-step explanation:

Given the data:

Students __ `Gr_9 __Gr_10 __ G_11 __G_12

Frequency : 152 ___130 ______ 80 ___98

The probability is :

Frequency of grade 11 / number of trials

80 / 500

7 0
3 years ago
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