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3 years ago

Help! What would d be?

Mathematics

1 answer:

Oxana [17]3 years ago

6 0

Answer:

d = 17.5499287748 inches or 17.5 inches to 1 decimal place

Step-by-step explanation:

find the diagonal line passing through the middle of the bottom rectangle:

a² + b² = c²

10² + 8² = c²

100 + 64 = 164

c² = 164

c = √164

c = 12.8062484729

find d:

a² + b² = c²

12² + 12.80624847298² = c²

144+ 164 = 308

c² = 308

c = √308

c = 17.5499287748

therefore d = 17.5499287748 inches or 17.5 inches to 1 decimal place

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Convert to a decimal by dividing the numerator by the denominator.

1.84

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Step-by-step explanation:

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2 years ago

10.

wolverine [178]

Answer:

72 square inches.

Step-by-step explanation:

Convert feet and inches.

36 feet = 36*12 inches

=432 inches

Width of the floor; Converted from feet to inches:

32 feet = 32*12 inches

= 384 inches

Calculate how many times the length (l) has been scaled down.

432 inches of length has been reduced to 9 inches.

$\frac{432}{9}=48$

Now the length has been scaled down 48 times.

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3 years ago

18.

Brrunno [24]

Answer:

1/5 or 0.2

Step-by-step explanation:

Answer:

The common difference is or 0.2

Step-by-step explanation:

Given:

Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,

First term = a₁ = -2

Second term = a₂ =

Third term = a₃ =

Fourth term = a₄ =

To Find:

Common Difference = d = ?

Solution:

Formula for Common Difference d ,

∴

The common difference is or 0.2

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2 years ago

What is the coefficient in the expression 3(m*)4+5

lyudmila [28]

The answer to this particular question is three

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3 years ago

Convert the inequalities into equations, and then use the substitution method to find four possible vertices in the form (x, y,

alina1380 [7]

Answer:

For 2x + 5y < 100, x + y < 30. Vertices : (50,0) , (0,20) , (35,0) , (0,35) , (25,0)

Step-by-step explanation:

Considering inequality equations

i) 2x + 5y < 100 ;

ii) x + y < 35

Concerting them to equality conditions

i) 2x + 5y =100.

Intercepts : If y = 0, x = 50. So, (50,0). If x = 0, y = 20. So, (0,20)

ii) x + y = 35. Intercepts :

Intercepts : If y = 0, x = 35. So, (35,0). If x = 0, y = 35 So, (0,35)

Solving them as per equality (with substitution)

From ii), x = 35 - y . Putting the value in i)

2 (35 - y) + 5y = 100 → 70 - 2y + 5y = 100 → 70 + 3y = 100

3y = 100 - 70 → 3y = 30 → y = 30 / 3 = 10

Putting y = 10 in ii) : x = 35 - 10 = 25

As per the 'less than' inequalities : the inner 'towards origin' area from both lines is in common shaded area.

Henceworth, vertices are : (50,0) , (0,20) , (35,0) , (0,35) & intersection (25,0)

8 0

3 years ago