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max2010maxim [7]
3 years ago
10

How many square feet of outdoor carpet will we need for this hole?​

Mathematics
1 answer:
GREYUIT [131]3 years ago
8 0

Answer:

40\ ft^{2}

Step-by-step explanation:

we know that

To find out how many square feet of exterior carpet we will need for this hole, subtract the area of the two interior rectangles from the area of the full green rectangle.

so

<em>Area of the full green rectangle</em>

A=12*4=48\ ft^{2}

<em>Area of the two interior rectangles</em>

A=3*2+1*2=8\ ft^{2}

<em>Find the area of outdoor carpet</em>

A=48-8=40\ ft^{2}

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3- Product of two expressions H.C.F=<br>A. H.CF<br>B. L.C.M<br>C. H.C.F + L.C.M<br>D. H.C.P x L.C.M​
Mnenie [13.5K]

(i) The product of the two expressions is equal to the product of their factors. (ii) The product of the two expressions is equal to the product of their H.C.F. and L.C.M. 2.

8 0
3 years ago
What are the intercepts of the equation <br> 2x+3/2y+3z=6
Ne4ueva [31]
X-intercept => 2x = 6 => x = 3
x-intercept is 3.

y-intercept => 3/2y = 6 => y = 4
y-intercept is 4.

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3 0
2 years ago
Can someone help me with this page please I have an exam tomorrow, I need to remember the answers unfortunately :)
zimovet [89]

Answer:

1. B. ∠2 and ∠6

2. 50°

3. Option 1, Option 5, and Option 6.

4. 133°

<u>Work for question 4:</u>

180°-47° = 133°

Step-by-step explanation:

1.

Alternate means the angles are on different sides of the transversal (horizontal line in this case). Interior means they are between the parallel lines (lines a and b in this case). (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles but only the first is an option.

2.

∠10 = ∠8+∠7 (corresponding angles so they are congruent)

∠10 is 140° and ∠8 is a right angle

140-90 = 50

∠7 = 50°

∠4 = 50° (∠7 and ∠4 are vertical angles so they are congruent)

3.

Sense all angles of a triangle add up to 180 and the ratio of angles is 3:3:6 the we can find the angle with the equation x+x+2x=180

Simplify.

4x=180

Solve by dividing 4 from both sides

x=45

so it is a 45, 45, 90 triangle. (right triangle because the 90 and icoceles because other 2 angles are congruent so option 5 is correct)

m∠J= 45°

m∠K= 45° (Option 1 is correct)

m∠L= 90° (Option 6 is correct)

4.

I honestly don't see how you can solve this without making assumptions so I will make assumptions.

Assuming the whole figure is symmetrical vertically ∠1 is congruent to the same spot on the right side of the shape. This angle would be supplementary to the angle of the angle outside of the shape adjacent on the right making the angle (which is corresponding, therefore congruent to ∠2) 133°.

8 0
2 years ago
Square root of 50 + square root of 18
skelet666 [1.2K]

if ya asking for simpliicatio

remember that \sqrt{ab}=(\sqrt{a})(\sqrt{b})

and

\sqrt{a^2}=(\sqrt{a})(\sqrt{a})=a

\sqrt{50}+\sqrt{18}=

factor

(\sqrt{2})(\sqrt{5})(\sqrt{5})+(\sqrt{2})(\sqrt{3})(\sqrt{3})=

(\sqrt{2})(5)+(\sqrt{2})(3)=

5\sqrt{2}+3\sqrt{2}=

8\sqrt{2}

5 0
3 years ago
Suppose Mai places $3500 in an account that pays 19% interest compounded each year.
rodikova [14]

Answer:

a.$4165

b.$4956.35

Step-by-step explanation:

a)19% × 3500 = 665.

3500+665 =4165

b)19% × 4165 =<u> </u><u>7</u><u>9</u><u>1</u><u>.</u><u>3</u><u>5</u>

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4 0
1 year ago
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