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storchak [24]
3 years ago
11

A right-angled triangle has sides of lengths (x+5)cm, (x-3)cm and 9cm. Calculate the value of x

Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

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Sonya can walk 6 kilometers in 3 hours. If she has to walk 10 kilometers, how much time will it take her?
vekshin1
1.8 hours because 6 km is to 3 hours as 10 km is to x hours. So you multiply 3*6 and them divide it by 10
4 0
3 years ago
A clothing store determines that in order to sell x shirts, the price per shirt should be p(x)=100−x dollars. Getting x shirts f
vredina [299]

Answer:

x= -40

Step-by-step explanation:

Cost

C(x)=1,600+20x

P(x)=100-x

Revenue=x*p(x)

=x*(100-x)

=100x-x^2

Cost=Revenue

1600+20x=100x-x^2

1600+20x-100x+x^2=0

1600-80x+x^2=0

Solve using quadratic formula

Formula where

a = 1, b = 80, and c = 1600

x=−b±√b2−4ac/2a

x=−80±√80^2−4(1)(1600) / 2(1)

x=−80±√6400−6400 / 2

x=−80±√0 / 2

The discriminant b^2−4ac=0

so, there is one real root.

x= −80/2

x= -40

5 0
3 years ago
Who gets this I am not sure what I have to do
natta225 [31]
Area of Parallelogram = base x height
height = 4.5 cm
base = 4.5 cm x 2

height = 4.5 cm
base = 9 cm

9 cm x 4.5 cm = 40.50 cm^2
8 0
3 years ago
Read 2 more answers
Find the value of x. A. 53–√ in B. 241−−√ in C. 55–√ in D. 9
castortr0y [4]

Answer:

<h2>x = 5√3 inches</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

{a}^{2}  =  {b}^{2}  +  {c}^{2}

where a is the hypotenuse

Substitute the values into the above formula

The hypotenuse is 10 inches

We have

{10}^{2}   =  {5}^{2}  +  {x}^{2}

{x}^{2}  =  {10}^{2}  -  {5}^{2}

{x}^{2}  = 100 - 25

{x}^{2}  = 75

We have the final answer as

<h3>x = 5√3 inches</h3>

Hope this helps you

3 0
3 years ago
The reading of a scale at one end is 3.5 cm and at the other end is 18.5 cm. Calculate the lengths of the needle
Bumek [7]

Answer:

15 cm

Step-by-step explanation:

Given that :

Reading at one end, initial reading = 3.5 cm

Reading at the other end, final reading = 18.5 cm

Length of needle :

Final Reading - Initial reading

18.5cm - 3.5cm

= 15cm

6 0
3 years ago
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