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3 years ago

What is the value of x?

Mathematics

2 answers:

nika2105 [10]3 years ago

8 0

AC is the hypotenuse of triangle ABC.

Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.

This means AB is 6, which it the hypotenuse of triangle BCD.

Using cos(angle) = adjacent leg / hypotenuse we can find x:

cos(60) = X / 6

x = 6 * cos(60)

x = 3

exis [7]3 years ago

8 0

AC is the hypotenuse of triangle ABC.

Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.

This means AB is 6, which it the hypotenuse of triangle BCD.

Using cos(angle) = adjacent leg / hypotenuse we can find x:

cos(60) = X / 6

x = 6 * cos(60)

x = 3

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A young woman wants to make at least $200 a week and can't work no more than 30 hours a week. she works at the library for $8 an

Bas_tet [7]

Let, Number of Hours in Library = x
Number of Hours in babysitting = y

Inequality would be: x + y = 30 ;
& 8x + 6y ≥ 200

b) Solving: Multiply first equation by 6,
6x + 6y ≥ 180
Subtract it from 2nd equation,
2x ≥ 20
x ≥ 10

Now, substitute it in 1st equation,
10 + y = 30
y = 20

Your Answer would be (10, 20)
x - value is lesser or equal to 10, so it would move to left (decreasing direction)!

Hope this helps!

5 0

3 years ago

Help me solve this please

vitfil [10]

Answer:

angle P congruent to angle N

Step-by-step explanation:

You know the angles at Q are congruent.

If angle P is congruent to angle N, then angle R is congruent to angle D.

Then both triangles are similar.

7 0

3 years ago

— 12 – 6р – (-2)<br> help pls

baherus [9]

Answer: -6P - 10

Step-by-step explanation:

STEP 1. -12 - 6P + 2

STEP 2. -6P + ( -12 + 2 )

STEP 3. -6P - 10

8 0

2 years ago

If x+1/x=7,find x^2+1/x^2

trapecia [35]

Answer:

x²+1/x² = 51

Explanation:

Given x - 1/x = 7 ---(1)

We know the algebraic identity:

a²+b²-2ab = (a-b)²

a²+b² = (a-b)²+2ab

Now,

x²+1/x²

= (x-1/x)²+2*x*(1/x)

= (x-1/x)²+2

:7²+2 [ from (1)] =

= 49+2

= 51

Therefore,

x²+1/x² = 51

3 0

3 years ago

Marcus earned $54,000 last year when the Social Security tax was 6.2% of income up to $94,200. His Medicare tax was 1.45%. How m

AysviL [449]

Answer

Social security tax amount = $3348

Medicare tax amount = $743

Step by step explanation

The amount earned by Marcus = $54000

Social security tax = 6.2% = 6.2/100 = 0.062

Social security tax amount = 54000*0.062

Social security tax amount = $3348

Medicare tax = 1.45% = 1.45/100 = 0.0145

Medicare tax amount = 54000*0.0145

Medicare tax amount = $743

Hope this will help you.

6 0

3 years ago

Read 2 more answers