CJ's garden is surrounded by a uniform width walkway . The Garden and walkway together cover an area of 320 square feet . If the dimensions of the garden are 12 feet by 16 feet determine the width of the walkway?
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Given;

The figure of a right angle triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In the given right angle triangle,

[tex]\cos (45^\circ)=\dfrac{7}{x}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{7}{x}[/tex]     [tex][\because \cos (45^\circ)=\dfrac{1}{\sqrt{2}}][/tex]

On cross multiplication, we get

[tex]1\times x=7\times \sqrt{2}[/tex]

[tex]x=7\sqrt{2}[/tex]

Therefore, the value of x is [tex]7\sqrt{2}[/tex] units.

Answer:

15x6

Step-by-step explanation:

do 15x6 and what that is, is the answer

Answer:

See explaination for answer! Hope this helps!

Step-by-step explanation:

When multiplying and deviding, you are raising them or lowering them by a certain degree, but adding or subtractions is just combining two fractions.

Just to quickly explain the "combining" aspect, during subraction, you are combining a positive with a negative.

The expression equivalent to 5(3a+4b) is option (B) 15a+20b

In mathematics, the distributive property of binary operations generalizes the distributive law, which asserts that the equality is always true in elementary algebra.

Given,

5(3a+4b)

Apply distributive property

5(3a+4b) = 15a + 20b

Hence, the expression equivalent to 5(3a+4b) is option (B) 15a+20b

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Answer:

7(2c + 15) = 14c + 7.15 = 14c + 105

Answer: 14c + 105

Step-by-step explanation:

Answer:

If you mean 4x = 15 + x, then yes.

Step-by-step explanation:

4 × 5 = 20

15 + 5 = 20

20 = 20

Answer:

The answer is 6

Step-by-step explanation:

ABC is 72, 66, 42 and DEF is 12, 11, 7

simply divide the largest shape measurements by the smaller one.

72÷12

66÷11

42÷7

you get 6 in all of them, this technique may not work all the time.

Answer:So you would start with 40/n because quotient means division and then it would be (40/n) - 13  (40 divided by n then minus 13) because the answer is thirteen less than the quotient of those numbers. since it wants you to evaluate for n=2 you would do 40/2 which is 20 then subtract 13 which is 7.

So write the expression as (40/n) -13 and when you evaluate just stick the 2 where the n is for (40/2) - 13

                               20 - 13

                                  = 7

Step-by-step explanation: HOPE THAT THIS WILL HELP YOU ❤️

Answer:

Here's an answer I used <3

Explanation:

You would then get to 40/n because quotient means division, then 40/n-13 because the outcome is 13 below the quotient. You can divide 40 by 20 to get 20, then 13 to get 7 because it asks you to test n=2.

Answer:

No, Maria is incorrect.

(a+b)^2 is actually equal to a^2 + 2ab + b^2.

Let me know if this helps!

Answer:

i d k

Step-by-step explanation:

what is f?

Answer:

B. (3,2)

Step-by-step explanation:

Step 1) When shifting from A(1,2) to B(4,4), the point shifted 3 units to the right (which means x=3) and 2 units upwards (which means y=2).

Step 2) So when you apply the same movements to point C(0,0), the new point will be (3,2).

See the diagram below. Step 1 is the graph on the left. Step 2 is the graph on the right. The movement is colored in green. Hope this helps!

Answer:

Step-by-step explanation:

1. there is 4 zeros in 10 4, the product is 10,000

2. 100,000

3. 100

Answer:

its 100000

Step-by-step explanation:

10×10=100×10=1000×10=10000×10=100000

Answer:

Triangle= 24x

Rectangle= 8x+7

Step-by-step explanation:

10x+8x+6x=24x

7x+4+x+3=8x+7

Combine Like Terms

Answer:

144 cm

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

1 ft = 12 in

4 x 12 = 48

Answer:

B and A

.......................

Answer:

M' and N'O'

Step-by-step explanation:

Answer:

101=10 101=1

106=1,000,000 (one million) 10-5=0.00001 (one hundred thousandth)

107=10,000,000 (ten million) 10-6=0.000001 (one millionth)

108=100,000,000 (one hundred million) 10-7=0.0000001 (one ten millionth)

Step-by-step explanation:

Answer:

10^6

Step-by-step explanation:

Answer:

X=5

Step-by-step explanation:

3x+9 is twice of 12 (24). 24-9=15, and 3*5=15, so x=5.

Answer:

Take the square root of both sides of the equation

Step-by-step explanation:

Answer:

i really don’t know

Step-by-step explanation:

that’s an interesting question

Answer:

i dont know but can we do rp on pad.let?

Step-by-step explanation:

Answer:

x=79,y=63 I have solve it in above picture

Answer:

20 miles for 1 gallon.

Step-by-step explanation:

20 x 15 = 300

Answer:

20 miles on one gallon of gas.

Step-by-step explanation:

300 miles ÷ 15 gallons = 20 miles/gallon

I like to work with the slope-intercept form of the line:

x=4y-8 �> y = (1/4)x + 2 (1)

12x+y=11 �> y = -12x + 11 (2)

At the point where they intersect the two y values must be equal, so set eq(1) = eq(2):

(1/4)x + 2 = -12x + 11

( (1/4) + (48/4))x = 9

(49/4)x = 9

Ans: x = 36/49

Check: Plug in x=36/49 to eq(1) and eq(2) to make sure they produce identical y values:

(1) y = (1/4)(36/49) + 2 = (9/49) + (98/49) = 107/49

(2) y = -12(36/49) + 11 = (-432/49) + (539/49) = 107/49 (they match)

By using substitution method,

The x-coordinate of the point where the lines x=4y−8 and 12x+y=11 intersect is  [tex]\frac{36}{49}[/tex].

"The substitution method is one of the algebraic methods to solve linear equations. It involves substituting the value of any one of the variables from one equation to the other equation."

We have the lines

x=4y−8 ..........................(1)

12x+y=11 .........................(2)

By using substitution method

Substitute x = 4y - 8 in equation (2)

⇒ 12(4y-8) + y = 11

⇒ 48y - 96 + y = 11

⇒ 49y = 11 + 96

⇒ y = [tex]\frac{107}{49}[/tex]

Calculating the x - coordinate by substituting y value in equation (1)

x=4y−8

⇒ x = [tex]4(\frac{107}{49} )-8[/tex]

⇒ x = [tex]\frac{428-392}{49}[/tex]

⇒ x = [tex]\frac{36}{49}[/tex]

Hence, the x-coordinate of the point where the lines x=4y−8 and 12x+y=11 intersect is  [tex]\frac{36}{49}[/tex].

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Answer:

It won't let me see the picture

Step-by-step explanation:

Answer:

8/11, 7/9, 4/5, 84% these are the answers to your question

Answer:

2=72 4=148  6=222  10=370 15=555 16=592

sorry about the second part i didnt see it

Answer:

148, 3 , 740, 1110, 8.

Step-by-step explanation:

Miles: 148 + 740 + 1,110 = 1,998

Gallons: 2 + 4 + 3 + 10 + 15 + 8 = 42

Answer:

The answer is A - $0.50 per cup

Step-by-step explanation:

If you divide the $4 by the 8 cups you get $0.50