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2 years ago

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Mathematics

2 answers:

irina1246 [14]2 years ago

6 0

Answer:

c = 5.5

Step-by-step explanation:

Let's find 'c' using Pythagoras theorem.

=> c² = 2.4² + 4.9²
=> c² = 5.76 + 24.01
=> c² = 29.77
=> c = √29.77
=> c = 5.456 = 5.5 (Estimated)

Hoped this helped.

$BrainiacUser1357$

Brut [27]2 years ago

4 0

Answer:

c ≈ 5.5 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

c² = 2.4² + 4.9² = 5.76 + 24.01 = 29.77 ( take square root of both sides )

c = $\sqrt{29.77}$ ≈ 5.5 cm ( to the nearest tenth )

You might be interested in

50/22 rounded to the hundredth

Fynjy0 [20]

Divide 50 by 22: 2.27272727...

Round up to hundredth and your final answer is 2.27

hope that helps :)

3 0

3 years ago

If a shop earns a profit of 1300 on every heater sold and incurs a loss of 1800 on every fan sold, find out its total profit/ lo

erastovalidia [21]

Answer:

Total profit is 26,900.

Explanation

If the profit for selling a heater is 1300 than the profit of selling 25 heaters is 32500.

If the loss of selling a fan is 800 than the loss of selling 7 fan is 5600.

Minus 32500 with 5600 to get the profit.

26,900

5 0

3 years ago

Factorize: 3a^2 + 10a + 3

sergey [27]

Answer: (3a + 1) (a + 3)

Step-by-step explanation:

Concept:

Here, we need to know the idea of factorization.

It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.

Solve:

Given = 3a² + 10a + 3

STEP ONE: separate 3a² into two terms

STEP TWO: separate 3 into two terms

STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.

3a 1

a 3

When cross multiply, 3a × 3 + 1 × a = 10a

STEP FOUR: combine the expression horizontally to get the final factorized expression.

3a ⇒ 1

a ⇒ 3

(3a + 1) (a + 3)

Hope this helps!! :)

Please let me know if you have any questions

7 0

3 years ago

Determine if the graph is a function then state the domain and range.

nignag [31]

<h3>Explanation</h3>

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Draw a vertical line. Make sure that a line passes through a graph.
See if a line intercepts a graph more than one point or just only one.

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3>Answer</h3>

 $\begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}$ 

Domain is set of all real numbers.

Range is greater or equal to 0.

8 0

2 years ago

Is (-5, 6) a solution to y = 2x + 4 ? I need an answer quickly, please

Fittoniya [83]

Answer:

(-5, 6) is not a solution.

Step-by-step explanation:

6=2(-5)+4

6=-10+4

-10+4=-6, not 6.

7 0

2 years ago