ALGEBRICAL EXPRESSIONS
SIMPLIFY

(7x+8y)² - (7x-8y)²
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Work Shown:

sin(angle) = opposite/hypotenuse

sin(6) = a/5440

5440*sin(6) = a

a = 5440*sin(6)

a = 568.634840176034

a = 569 feet, which shows why choice B is the answer.

This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5

side note: 569 feet is roughly equal to 0.1078 miles.

The driver's increase in altitude is 569 feet.

Given that,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

We have to determine,

The driver's increase in altitude?

According to the question,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

The inclination is determined by using the sin angle.

Therefore,

The driver's increase in altitude is,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.

Substitute all the values in the formula,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]

Hence, The driver's increase in altitude is 569 feet.

For more details refer to the link given below.

https://brainly.com/question/11280532

Answer:

area = ½bh

= 1/2×11× 15

= 82.5 Square inches

82.5 Square InchesStep-by-step explanation:15x11/2 = 82.5

Answer:

given radius =6

Area of triangle =1/2*base*height

=1/2*6*6=18

area of quadrant =1/4πr^2

=1/4*22/7*6*6=22/7*9=198/7=28.2

area of shaded region =area of quadrant -area of triangle

=28.2-18=10.2

Answer:

A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.

Step-by-step explanation:

Answer:

B is the function.

Step-by-step explanation:

since there is one y value for every x value we know that is a function

Answer:

16 inches, 63 inches, and 65 inches

Step-by-step explanation:

Edit: I had to change cause it was wrong

Answer:

16 inches, 63 inches, and 65 inches

Step-by-step explanation:

16 squared = 256

63 squared = 3969

16 squared + 63 squared = 4225

65 squared = 4225

A^2 +B^2 = C^2

98

kqprhwierui4roqwhrdkej1wddkbrdh

Answer: 2.456 x 10^11

Step-by-step explanation:

You move the decimal to the left until there’s no more zeroes

Answer:

there :D

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

2.456 ×  10  to the power of 11

Answer:

f(n) = -34 -3(n - 1)

Step-by-step explanation:

The explicit formula for f(n) is given below:

Given that

f(1)= -34

f(n)=f(n−1) - 3

Based on the above information

f(n) = a1 +d(n -1)

a1 = -34

d = -3

So

f(n) = -34 -3(n - 1)

This above represent an explicit formula

Answer:

h=20

i=75

g=55

Step-by-step explanation:

20 is equal to h

75 is equal to i

g looks like its in the middle of them so you would subtract the two and be left with 55

g=55

im not the best at math so im sorry if its wrong.

Answer:

H= 20

I= 75

G= 20

Step-by-step explanation:

Answer:

equation: x(1.25) + 6.75 = 31.75 refills: 20

Step-by-step explanation:

The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"

Now we solve the equation. First, subtract 6.75 from each side

x(1.25) + 6.25 = 31.75

            -6.25    -6.25

Now we have "x(1.25) = 25" So we have to divide each side by 1.25

x(1.25/1.25) = 25/1.25

                x = 20

Therefore, Kim bought 20 refills. To check our work we can replace x with 20 in the original equation.

20(1.25) + 6.75 = 31.75

        25 + 6.75 = 31.75

                31.75 = 31.75

I'm not the best at explanations, but I hope this helped! :)

Answer:

Step-by-step explanation:

(3b)/5-1/2=1/4

(3b)/5=1/4+1/2

(3b)/5=1/4+(1/2)(2/2)

(3b)/5=1/4+2/4

(3b)/5=3/4

3b=15/4

b=5/4

b=1.25

Answer:

slope intercept form is the form of y=mx+b, where the slope is m and the y intercept is b.

what you have to do is to solve the equations for y.

1) 2x+2y = 10

  2y = 10 -2x

    y = -x +5

2) 12+4y = -4x

    4y = -4x-12

       y = -x -3

lines are parallel when they have same slope and different y-intercepts. m1=m2 and b1 ≠ b2

lines are perpendicular when the multiplication of their slope gives -1

m1 x m2 = -1

here the slopes are same and y-intercepts are different so lines are parallel.

9514 1404 393

Answer:

  9 feet

Step-by-step explanation:

The sine relation applies.

  Sin = Opposite/Hypotenuse

  sin(30°) = height/(18 ft)

  height = (18 ft)sin(30°) = (18 ft)(1/2)

  height = 9 ft

The ladder extends 9 feet up the side of the building.

Answer:

we cant answer if we dont know what sin A is

Answer:

a=9.4cm

b=12.0cm

Step-by-step explanation:

Answer:

see i have posted my pic

Step-by-step explanation:

please mark me as brainliest

Answer:

He reorders after 22 days

Answer:

(1200÷25) ÷ans= days

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

there r 24 cookies

5/6 of 24 is 20 because 24/6 is 4 and 4*5 is 20

Answer:

20 oatmeal cookies

Step-by-step explanation:

If it is 6ths then divide 24 by 6 which is 4 and multiply 5 by 4 which is 20

Answer:

88%

Step-by-step explanation:

128-15=113

113/128=.882

88%

Answer:

58cm

Step-by-step explanation:

15+14+5+8+6=48

missing side = 15-5 =10

48+10=58

Answer:

Step-by-step explanation:

9000 is 60% of what number?

9000=0.6*X

9000/0.6=X

X=$15000

Answer:

x = 10

y = [tex]10\sqrt{2}[/tex]

Step-by-step explanation:

Let me know if you want an explanation.

Answer:

In English, we would call these terms the “Greatest Common Denominator” and the “Least Common Multiple”. It looks like in Italian at least, MCM stands for “Minimo Comune Multiplo” (aka Least Common Multiple) and MCD stands for “Maximo Comune Divisor” (aka Greatest Common Denominator).

Step-by-step explanation:

I hope it works