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4 years ago

Find the missing term (need help)

Mathematics

1 answer:

katen-ka-za [31]4 years ago

7 0

Answer:

x² - 10x + 34

Step-by-step explanation:

given the roots are x = 5 ± 3i then the factors are

(x - (5 + 3i))(x - (5 - 3i))

= (x - 5)² - 9i² ← expand (x - 5)²

= x² - 10 x + 25 + 9 → [ i² = - 1 ]

= x² - 10x + 34

the missing term is 10x

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What is the volume of a hemisphere with a radius of 2.3m round to the nearest tenth of a cubic meter

kodGreya [7K]

Answer: $25.5 m^{3}$

Step-by-step explanation:

If the volume of a sphere is

$V=\frac{4}{3} \pi r^{3}$

Where $r=2.3 m$ is the radius

The volume of a hemisphere is half the volume of the total sphere:

$V_{hemisphere}=\frac{V}{2}=\frac{\frac{4}{3} \pi r^{3}}{2}$

$V_{hemisphere}=\frac{2}{3} \pi r^{3}$

Solving this equation:

$V_{hemisphere}=\frac{2}{3} \pi (2.3 m)^{3}$

Finally:

$V_{hemisphere}=25.48m^{3} \approx 25.5 m^{3}$

5 0

3 years ago

A certain game consists of rolling a single fair die. If a four or five comes up, you win 8 dollars; otherwise, you lose 4 dol

Elena-2011 [213]

Answer:

3/1

Step-by-step explanation:

Well there's 6 sides on a dice and only 2 winning numbers. 6/2=3/1. You have a good chance of losing lol. Is this what you're looking for?

~Keaura/Cendall.

3 0

3 years ago

one month Miguel rented 5 movies and 3 video games for a total of $27. The next month he ordered 2 movies and 6 video games for

34kurt

Answer:

The price of each movie is $2.25

The price of each video games is $5.41

Step-by-step explanation:

Given as :

Miguel rented 5 movies and 3 video games for a total cost = $27

Next day Miguel rented 2 movies and 6 video games for a total cost = $36

Let The cost of each movie = $m

And The cost of each video game = $v

Now, According to question

5 m + 3 v = 27 .....1

2 m + 6 v = 36 ...........2

Now, solving the equation

2 × (5 m + 3 v) - (2 m + 6 v) = 2 × 27 - 36

Or, 10 m + 6 v - 2 m - 6 v = 54 - 36

Or, (10 m - 2 m) + (6 v - 6 v) = 18

Or, 8 m + 0 = 18

∴ m = $\dfrac{18}{8}$ = $\dfrac{9}{4}$

i.e m = $2.25

So, The price of each movie = m = $2.25

Again, put the value of m into eq 2

So, 2 × 2.25 + 6 v = 36

Or, 4.5 + 6 v = 36

Or, 6 v = 36 - 4.5

Or, 6 v = $32.5

∴ v = $\dfrac{32.5}{6}$

i.e v = $5.41

So, The price of each video games = v = $5.41

Hence, The price of each movie is $2.25 and

The price of each video games is $5.41 Answer

7 0

3 years ago

Base=30cm<br> Heights=20cm <br> Find the X?

Leviafan [203]

Answer: 25

Assuming the dotted line touches the middle of the base of the triangle,

Using Pythagoras Theorem,

(30/2)^2 + (20)^2 = x^2

x^2 = (15)^2 + 400

x^2 = 625

x = √625 or -(√625)

x = 25 or -25

But since x needs to be a positive value,

x = 25

8 0

4 years ago

Read 2 more answers

To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.70 per hour. The history

Flauer [41]

Answer:

t=5

Step-by-step explanation:

34+9.70t=82.50

-34 -34.00

9.70t=48.50

divide 9.70 from both sides

t=5

3 0

3 years ago