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3 years ago

Find the value of x. Round your answer to the nearest tenth.

Mathematics

1 answer:

natka813 [3]3 years ago

5 0

That's a question about the Pythagorean Theorem.

We use the Pythagorean Theorem to find the value of one side in a right triangle.

This theorem says that:

$\boxed{a^2 = b^2 + c^2}$

a is the hypotenuse (It's the opposite side the right angle).
b and c are cathetus (They're the adjacent sides the right angle).

Okay, now, let's go to solve this problem! In our figure, we have two cathetus. Their values are 10 and 7 and we have to find the value of x (the hypotenuse). Let's change this information in that formula.

$a^2 = b^2 + c^2\\x^2 = 10^2 + 7^2\\x^2 = 100 + 49\\x^2 = 149\\x = \sqrt{149}$

Therefore, the value of x is $\sqrt{149}$ .

I hope I've helped. :D

Enjoy your studies! \o/

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The coordinates of P and Q are (2,6) and (4,5) respectively. Equation of a line RS is Y= 2X -3. Determine if the lines are paral

Travka [436]

Answer:

Perpendicular

Step-by-step explanation:

Given points P=(2,6) and Q=(4,5)

The line RS is y=2x-3.

Now we know that the line joining any two points (x1,y1) and (x2,y2) has slope m= $\frac{y2-y1}{x2-x1}$

Now the slope of the line PQ is

m1= $\frac{5-6}{4-2}$ = - $\frac{1}{2}$

We know that the slope of the line in the form y=mx+c is m

So the line RS has slope m2=2

Now two lines are parallel if m1=m2

And those two lines are perpendicular if $m1*m2=-1$

here m1= - $\frac{1}{2}$ and m2=2

clearly $m1*m2=-1$

Therefore the two given lines are perpendicular

7 0

3 years ago

How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R

serg [7]

Solving a system of equations we will see that we need to use 40 liters of the 80% acid solution, and the other 20 liters are of the 35% acid solution.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

x = liters of the 35% acid used.
y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use 40 liters of the 80% acid solution, and the other 20 liters are of the 35% acid solution.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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2 years ago

A square pyramid with a side length of 6 inches has volume of 102 cubic inches. Find the height of the square pyramid.

-BARSIC- [3]

Answer:

the height of a square pyramid is 139.3 cm

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3 years ago

How much do all the pencils inside 124 boxes cost (in $), if inside each box there are 6 pencils and 33 pencils cost $8.99. Roun

Anarel [89]

124 x 6 =744 und

$8.99 divide 33 = $0.27 each pencil
$0.27 x 744 = $200.88 (round $ 201)

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3 years ago

Please help find the area of the figure above

Ksenya-84 [330]

Answer:

Please mark my answer as Brainliest if you like it dear

3 0

2 years ago

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