Solve for x.
−7.8(x+6.5)=−25.74
Enter your answer, as a decimal, in the box.

Answers

Answer 1
Answer: −7.8(x+6.5)=−25.74
-7.8x - 50.7 = -25.74
-7.8x = -25.74 + 50.7
-7.8x = 24.96
      x = 24.96/-7.8
      x = -3.2

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Avery's income tax rate is 12%. If she made $85,000 this year, how much income tax will she pay?

Answers

Answer:

10200

Step-by-step explanation:

0.12 * 85000 is 10200.

PLEASE help with these math questions

Answers

Pythagorean theorem: a² + b² = c²
a = long leg
b = short leg
c = hypotenuse

graph can form a right triangle:
JK: a = 7 - 3 = 4 ; b = 5 - 3 = 2 
⇒ 4² + 2² = c² ⇒ 16 + 4 = 20 ; c = √20 = 4.47 or 4.5 units

VW: a = 6 - (-2) = 6 + 2 = 8 ; b = -3 - (+4) = 7
⇒ 8² + 7² = c² ⇒ 64 + 49 = 113 ; c = √113 = 10.63 units

EG: a = 7 - (-2) = 7 + 2 = 9 ; b = 9 - 1 = 8
⇒ 9² + 8² = c² ⇒ 81 + 64 =  145 ; c = √145 = 12.04 units

EG: a = -1 - 6 = 7 ; b = 2 - (-2) = 2 + 2 = 4
⇒ 7² + 4² = c² ⇒ 49 + 16 = 65 ; c = √65 = 8.06 units

Trapezoid: Rectangle and right triangle.

Rectangle = 1 side of the width is the long leg of the right triangle.

a = 8 - 2 = 6 ; b = 12 - 9 = 3
6² + 3² = c² ; 36 + 9 = 45 ; c = √45 = 6.71 units

upper base:CD:  9 - 2 = 7
lower base: BA: 12 - 2 = 10
side: DA: 8 - 2 = 6
side: CB: 6.71

Perimeter = 7 + 10 + 6 + 6.71 = 29.71 units

The first one is just some simple application of Pythagora's theorem.

Since you go up -2 (no negative lengths), and across 4. You can apply the theorem to get:
2^2 + 4^2 = x^2
x = 4.4721
x = 4.5

I won't answer all of these for you, if you need more help just say please.

A 14 foot ladder is used to scale a 13 foot wall.At what angle of elevation must the ladder be situated in order to reach the top of the wall?

Answers

The angle of elevation must be 68.202 degrees

Solution:

Given that, 14 foot ladder is used to scale a 13 foot wall

We have to find the angle of elevation must the ladder be situated in order to reach the top of the wall

The figure for this solution is attached below

The ladder, wall and the ground forms a right angled triangle

ABC is a right angled triangle

AB is the height of wall = 13 feet

AC is the length of ladder = 14 feet

We have to find the angle of elevation

Let the angle of elevation be "x"

For right angled triangle ABC, We can use the definition for sine

\sin x=\frac{\text { opposite }}{\text { hypotenuse }}

Here, in figure, opposite = AB and hypotenuse = AC

\sin x=(A B)/(A C)\n\n\sin x = (13)/(14)\n\n\sin x = 0.9285\n\nx = sin^(-1)(0.9285)\n\nx = 68.202

Thus the angle of elevation must be 68.202 degrees

The angle of elevation the ladder will be situated in order to reach the top of the wall is 68°.

What is a right triangle?

A right triangle has one of its angles as 90 degrees. The angle of elevation can be found using trigonometric ratios.

Therefore, the angle of elevation can be calculated as follows;

The length of the ladder is the hypotenuse.

The opposite side is the height of the wall.

Therefore,

sin ∅ = opposite / hypotenuse

sin ∅ = 13 / 14

∅ = sin⁻¹ 0.92857142857

∅ = 68.2129901712

∅ = 68°

learn more on right triangle here: brainly.com/question/22479729

#SPJ5

The value of x in 3(x+5)=12

Answers

Answer:

x = -1

Step-by-step explanation:

3(x+5)=12

Divide each side by 3

3/3(x+5)=12/3

x+5 = 4

Subtract 5 from each side

x+5-5 = 4-5

x = -1

Answer:

x=-1

Step-by-step explanation:

3(x+5)=12

Step 1: Simplify both sides of the equation.

3(x+5)=12

(3)(x)+(3)(5)=12(Distribute)

3x+15=12

Step 2: Subtract 15 from both sides.

3x+15−15=12−15

3x=−3

Step 3: Divide both sides by 3.

3x

3

=

−3

3

x=−1

Why do engineers use math

Answers

engineers use math because they have to calculate numbers together to know how much angle they will need when building and when they need to know how much wood/tools they need they have to use math to get those things.

15. Tell whether the lines for each pair of equations are parallel perpendicular or neither Y=-3x+7
-2x+6y=3
16. Tell whether the lines for each pair of equations are parallel perpendicular or neither
Y=-1/5x+6
-2x+10y= 5

Answers

Answer:

15. The lines are perpendicular.

16. The lines are neither perpendicular nor parallel.

Step-by-step explanation:

15. The given lines are

Y=-3x+7 & -2x+6y=3 or, 6y = 3 + 2x or, y = 0.5 + (x)/(3).

The slope of the first line is -3 and the slope of the second line is (1)/(3)[Comparing with the standard form of equation of straight line y = mx + c, where m is the slope of the straight line].

Two straight lines will said to be perpendicular to each other, if the product of its slopes will be equal to -1.

Since, -3 * (1)/(3) = -1, the equations are perpendicular with respect to each other.

16. The lines are y = -(x)/(5) + 6 and -2x + 10y = 5 or, 10y = 5 + 2x or, y = 0.5 + (x)/(5).

As per the question number 15, it is clear that these equations are not perpendicular.

Here, the slope of the first one is (-1)/(5) and the slope of the second one is (1)/(5).

The values are same with different sign. Hence, these equations are not parallel too.