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Nostrana [21]
2 years ago
5

Which one of these numbers could form a triangle?

Mathematics
1 answer:
padilas [110]2 years ago
7 0

Answer: non of those numbers

Step-by-step explanation:

all the numbers couldn't form a triangle

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The volume of this rectangular prism is 72 in³. What is the missing measurement for c?
chubhunter [2.5K]

Answer:

6

Step-by-step explanation:

The formula for finding the volume of a rectangular prism is lwh so u multiply 3 and 4 which is 12 and divide 72 by 12.

8 0
2 years ago
Read 2 more answers
A boat crew rowed 10.5 miles downstream, with the current, in 1.5 hours. the return trip upstream , against the current , covere
alukav5142 [94]

Answer:

The speed of the boat is 5 miles per hours

The speed of the current is 2 miles per hours .

Step-by-step explanation:

Given as :

The distance cover by boat downstream = D = 10.5 miles

The time taken by boat to cover D distance = T = 1.5 hours

The distance cover by boat Upstream = d = 10.5 miles

The time taken by boat to cover d distance = t = 3.5 hours

Let The speed of boat =  x mph

Let The speed of current =  mph

Now, According to question

∵ Speed = \dfrac{Distance}{Time}

<u>For Downstream</u>

x + y = \dfrac{D}{T}

Or, x + y =  \dfrac{10.5}{1.5}

Or, x + y = 7          .......A

<u>For Upstream</u>

x - y = \dfrac{d}{t}

Or, x - y =  \dfrac{10.5}{3.5}

Or, x - y = 3          .......B

Now, Solving eq A and eq B

So, (x + y) + (x - y) = 7 + 3

Or, (x + x) + (y - y) = 10

Or, 2 x + 0 = 10

∴  x = \dfrac{10}{2}

i.e x = 5 mph

So, The speed of the boat = x = 5 miles per hours

Put the value of x into eq A

∵ x + y = 7

Or, 5 + y = 7

∴ y = 7 - 5

i.e y = 2 mph

So, The speed of the current = y = 2 miles per hours

Hence, The speed of the boat is 5 miles per hours and The speed of the current is 2 miles per hours . Answer

7 0
3 years ago
(4x+5) (3x+1) -3 (x+1)<br>​
ollegr [7]

Answer:

-36x^3 - 69x^2 - 34x - 5

Step-by-step explanation:

(4x + 5) (3x + 1) -3 (x + 1)

(4x + 5) (3x + 1) ( -3x - 1)

12x^2 + 4x + 15x +5

Combine like terms

12x^2 + 19x + 5 (-3x - 1)

-36x^3 -57x^2 - 15x^2 -5

Combine like terms

-36x^3 - 69x^2 - 34x - 5

4 0
2 years ago
Issac tosses a quarter off of a bridge, creating the shape of a parabola. The parabola can be represented by the equation h=-16t
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

a) the equation representing the parabola is expressed as

h = -16t² - 4t + 20

c) to determine the height after 25 seconds, we would substitute 25 for t into the given equation. It becomes

h = -16(25)² - 4(25) + 20

h = - 10000 - 100 + 20

h = - 10080

d) when the coin lands on the ground, the height would be 0. Therefore,

-16t² - 4t + 20 = 0

Dividing both sides of the equation by 4, it becomes

- 4t² - t + 5 = 0

- 4t² - 5t + 4t + 5 = 0

- t(4t + 5) + 1(4t + 5) = 0

- t + 1 = 0 or 4t + 5 = 0

t = 1 or t = - 5/4

Since t cannot be negative, then t = 1 second

4 0
3 years ago
Which of these is equivalent to 1 over x to the power of 5 ? 1 fifth x negative x to the power of 5 x to the power of 5 x to the
Kisachek [45]

Answer:

x^-5 = x to the power of negative 5

Step-by-step explanation:

Which of these is equivalent to 1 over x to the power of 5 ?

Mathematically this is expressed as

(1/x)⁵

We have a rule when it comes to expressing power

(1/a)^b = a^-b

Hence, applying this rule to our question

(1/x)⁵ = (1/x)^5

= x^-5

This is written in words as:

x to the power of negative 5

5 0
3 years ago
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