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melomori [17]
3 years ago
7

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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138 invitations to 75 invitations,what is the percent change?
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Answer:

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

1.84

invitations

Step-by-step explanation:

7 0
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.

Scale down the width (w) 48 times.

\frac{384}{48} =8

The width of the scale drawing = 8 in

Area of the Scale drawing = Scaled down length * Scaled down width

                                        =9*8                                            =72in^{2}

4 0
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

4 0
2 years ago
What is the coefficient in the expression <br> 3(m*)4+5
lyudmila [28]
The answer to this particular question is three
4 0
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 <u>< </u>100, x + y <u><</u> 30. Vertices : (50,0) , (0,20) , (35,0) , (0,35) , (25,0)  

Step-by-step explanation:

Considering inequality equations

i) 2x + 5y <u>< </u>100 ;

ii) x + y <u><</u> 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, <u>vertices </u>are : (50,0) , (0,20) , (35,0) , (0,35)  & intersection (25,0)

8 0
3 years ago
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