What is one important thing you have to do before solving a word problem?

9514 1404 393

Answer:

  about 9.80 cm

Step-by-step explanation:

The length of half the segment (h) can be found from the Pythagorean theorem:

  h² +5² = 7²

  h² = 7² -5² = 49 -25 = 24

  h = √24 = 2√6

This is half the segment length, so the whole segment length is ...

  L = 2h = 2(2√6)

  L = 4√6 ≈ 9.7980

The length of the segment is 4√6 ≈ 9.80 cm.

Answer:

The answer is 11/6! Hope this helped!

Steps:

6/3 + (-1/6)

apply rule --> a + (-b) = a - b

6/3 + (-1/6) = 6/3 - 1/6

= 6/3 - 1/6

6/3 = 2

= 2 - 1/6

2 = 6 x 2 over 6

= 6 x 2 over 6 - 1/6

= 12/6 - 1/6

apply fraction rule --> a/c - b/c = a - b over c

12/6 - 1/6 = 12 - 1 over 6

= 12 - 1 over 6

= 11/6

Answer:

y=12/x

Step-by-step explanation:

if y=12, and x=1 so

general formula y=12/x

for x=5 , y=12/5=2.4

you can graph by ploting points such as (1,12), (5, 2.4),...

Answer:

y = -5/3x + 6  

Step-by-step explanation:

A line parallel to it would have the same slope which is -5/3 so then you can plug in the points you were given and find b for the line parallel which would be 1 = -5/3(-3) + b and that would simplify into 6 = b so then you know your y intercept and you can now plug it in for the new equation y = -5/3 + 6

Answer:

x = 62.23 ft

y = 47.67 ft    

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer: The base is 17 meters long, and the height is 12 meters.

Step-by-step explanation:

The area of a triangle is:

A = b*h/2

where:

b = base

h = height.

For this particular triangle, we have that:

b = 5m + h

A = 102 m^2 = b*h/2

We can replace the first equation into the second one:

b*h/2 = 102 m^2

(5m + h)*h/2 = 102 m^2

(5m + h)*h = 2*102 m^2 = 204m^2

5m*h + h^2 = 204m^2

We can rewrite this as a quadratic equation:

h^2 + 5m*h - 204m^2 = 0

The solutions are given by the Bhaskara formula, the solutions are:

[tex]h = \frac{-5m +- \sqrt{(+5m)^2 -4*1*(-204m^2)} }{2*1} = \frac{-5m+-29m}{2}[/tex]

Then the two solutions are:

h = (-5m - 29m)/2 = -17 m

This is a negative height, that is not really defined, so this will be discarded.

The other solution is:

h = (-5m + 29m)/2 = 12m

This is positive, so this is the option we will use.

Knowing h, we can find the value of b.

b = 5m + h = 5m + 12m = 17m

Then the area is:

A = 12m*17m/2 = 102m^2

Answer:

theres no picture attached

Step-by-step explanation:

Answer:

x < -([tex]\frac{11}{2}[/tex])

Step-by-step explanation:

2(4x + 1) < 3(2x - 3)

8x+2 < 6x-9

2x+2 < -9

2x < -11

x < -([tex]\frac{11}{2}[/tex])

Answer:

3/8

Step-by-step explanation:

Answer:

3/8 = 9/24

1/3 = 8/24

-1/3 is closer to 0

3/8 is farther from 0

Answer:

That is a 45% increase

Step-by-step explanation:

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -3x + 17

f(x) = 2

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here we see that f(2) does equal 2.

∴ x = 5 is the solution.

Answer: -9

18/x = -2

⇔ x = 18/(-2)

⇔ x = -9

Step-by-step explanation:

Answer:

D = 0.5 + 20x + 0.5v

Step-by-step explanation:

Initial distance covered d1 = 0.5km

If she rode a bicycle for x hours at an average speed of 20 kilometers per hour, then her distance during thus period is,;

Speed = Distance/Time

Distance d2 = speed × time

d2 = 20x

If she ran for 0.5 hour at an average speed of v kilometers per hour, her distance this time will be;

Distance d3 = 0.5v

If her total distance is D, then;

D = d1+d2+d3

D = 0.5 + 20x + 0.5v

Hence an equation that relates D, x, and v is D = 0.5 + 20x + 0.5v

Answer: 18x+16 cm

Step-by-step explanation:

Combine the like terms. 9x+9x = 18x and 8+8=16

Answer:

Angles: ∠ABC ∠BAC ∠ACB ∠CBA ∠CAB ∠BCA ∠A ∠B ∠C

Sides: AB BA AC CA CB BC

The line is suppose to go over the sides indicating its a segment but I couldn't find the symbol for that

Step-by-step explanation:

Answer:

7.6

Step-by-step explanation:

m<DBA is 68 degrees

Answer:

has to be

Step-by-step explanation:

the first one

Answer:

18x = 12y =132

Step-by-step explanation:

Answer:

thank you!

Step-by-step explanation:

Answer:

x = 20

4x = 80°

5x = 100°

Step-by-step explanation:

The given angles are supplementary so their sum is 180°

4x + 5x = 180

9x = 180 divide both sides by 9

x = 20

The value of the angle marked 4x = 4 × 20 = 80°

The value of the angle marked 5x = 5 × 20 = 100°

Answer:

80°, 100°

Step-by-step explanation:

The 2 angles are same- side interior angles and are supplementary, thus

4x + 5x = 180

9x = 180 ( divide both sides by 9 )

x = 20

Thus

4x = 4 × 20 = 80°

5x = 5 × 20 = 100°

Answer: 20

Step-by-step explanation:

Answer: C

You can use the formula x = -b / 2a to find the axis of symmetry.

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

No of sides= 360/exterior angle

=360/20

=18 sides

the number of the sides of the polygon is 18 sides.

Answer:

Starnes 2.9

Step-by-step explanation:

Answer:

365/1,000 or .365

Step-by-step explanation:

HTH :)

Three hundred sixty five thousand in standard form is 365000.

The standard form of numbers is when we have to write the number in digits according to it's place and face value.

Word form of numbers is that when we have to write numbers given in numerical form to words by determining place and face value.

According to the given question we have to write  three thousand sixty five thousand in standard form.

We know thousand has three zeroes.Suppose we have to write one thousand in standard form which is 1000.

Given we have to write three hundred sixty five thousand in standard form which is 365000.

learn more about numbers here :

https://brainly.com/question/17264364

#SPJ2

Answer:

y = 11°

Step-by-step explanation:

PR and QS and parallel lines and QR is a transversal.

Now,

5y = 55 (alternate interior angles)

y = 55/5

y = 11

Answer:

She saved 25% or 1/4

Step-by-step explanation:

Please give me brain