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3 years ago

Write the expression for the perimeter of the rectangle

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

4 0

Answer:

perimeter = 2(x + 5)

this is 2x + 10

x = 55 inches

Step-by-step explanation:

this question is a bit weird because they didn't put the units for 5, so I'm assuming it's in inches...

the perimeter of a rectangle will have two of each, so we can put the 2 outside the bracket since it applies to everything. We have x and we have 5 so put those in the bracket with a plus sign because you add when you're calculating the perimeter.

5 + 5 = 10

120 - 10 = 110 inches (this is 2x)

110 ÷ 2 = 55 inches

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at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same

iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

d = 1720
x = plane's speed
y = wind speed
t1 = 5 hours
t2 = 4 hours.

Substitution

d = (x + y) * t
1720 = (x + y) * 4
1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

(x + y) * 4 = (x - y)*5 Remove the brackets.
4x + 4y = 5x - 5y Add 5y to both sides
4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
4x + 9y = 5x Subtract 4x from both sides
9y + 4x - 4x = 5x - 4x Combine
9y = x

Now use one of the given equations with the distance

1720 = (x + y)*4 Substitute 9y for x
1720 = (9y + y) * 4 Combine
1720 = 10y * 4 Multiply the right
1720 = 40y Divide by 40
1720/40 = 40y/40 Do the division
43 = y y = wind speek
9y = x x = 9*y
9*43 = x
x = 387 miles per hour.

4 0

4 years ago

Find the value of x by filling in the blanks in the provided statement-reason solution. N = MP PLEASE HELP QUICKLYYY

seraphim [82]

Picture relating to the question can be found in the picture attached below.

Answer:

Angle DCA = Angle CAB

Angle A + Angle B + Angle C = 180°

18 + 3x + 3x = 180

27°

Step-by-step explanation:

For 1:

Angle DCA = Angle CAB (Alternate angles are equal)

Angle DCA = 18°, Hence, CAB = 18°

Angle A + Angle B + Angle C = 180° (sum of interior angles in a triangle)

3.)

Angle A = 18°

Angle B = 3x

Angle C = 3x

18° + 3x + 3x = 180°

4.)

18 + 3x + 3x = 180

18 + 6x = 180

6x = 180 - 18

6x = 162

x = 162 / 6

x = 27°

6 0

3 years ago

Please solve card 6!

olasank [31]

Answer:

×=30⁰ :)

Step-by-step explanation:

x⁰+(x+30⁰)= 90⁰

x⁰+x⁰= 90⁰-30⁰=60⁰

2x⁰=60⁰

60⁰÷2=30⁰ => x⁰=30⁰

verification:

30⁰+(30⁰+30⁰)=90⁰

6 0

3 years ago

Read 2 more answers

PLEASE IM DESPERATE

iren [92.7K]

Pretty sure that’s a -13.178294573643404
% difference. I really hope this is right and I really hope it helps!

6 0

3 years ago

Susan and ronald dugan agreed upon the price of 256,000 for their new home. They plan to make 30 percent down payment and financ

Eduardwww [97]

Answer:

The total amount to be paid for new home is $838,014.72

Step-by-step explanation:

Given as :

The price of the new house = $256,000

The down payment amount = 30% of house price

So, The down payment price = 30% of $256,000

i.e The down payment price = $\dfrac{30}{100}$ × 256000

Or, The down payment price = $76,800

Now, rest amount is finance

So, The finance Amount = p = $256000 - $76800 = $179,200

The rate of interest applied = r = 7.5%

The time period of finance = t = 20 years

Let The Amount after 20 years of finance = $A

Let The total amount to be paid for new home = $B

<u>Now, From Compound Interest </u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = $179,200 × $(1+\dfrac{\textrm 7.5}{100})^{\textrm 20}$

Or, A = $179,200 × $(1.075)^{\textrm 20}$

Or, A = $179,200 × 4.24785

∴ A = $761,214.72

So,The Amount after 20 years of finance = A = $761,214.72

<u>Now, Again</u>

The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance

Or, B = $76,800 + A

Or, B = $76,800 + $761,214.72

Or, B = $838,014.72

So, The total amount to be paid for new home = B = $838,014.72

Hence, The total amount to be paid for new home is $838,014.72 Answer

7 0

3 years ago