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fiasKO
1 month ago
9

One square has an area that is 10 cm2 larger than another. What is a reasonable domain for the area of the larger square?

Mathematics
2 answers:
Inessa [12.5K]1 month ago
7 0

Answer:

R>10 reflects the required domain.

Step-by-step explanation:

We have two squares provided

Let the area of the larger square be denoted as x

The area of the smaller square is given, and we need to determine the domain for the larger square's area.

The domain refers to the possible values that x can assume in a function

In this context, x represents the area of the larger square

Because the area of the smaller square is 10cm^2

The area of the larger square must exceed 10cm^2

The domain will consist of all real numbers greater than 10

Mathematically, R>10 indicates the required domain.

Leona [12.6K]1 month ago
6 0
As the area can take on any positive real number, the larger square must be over 10 cm², thus the domain for its area encompasses all real numbers exceeding 10 cm².
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brysons dad is 38 years old. if this is four years less than three times brysons age how old is bryson
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Response:

Bryson is 14 years old

Step-by-step rationale:

14

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42

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The quotient of 9 3/4 and 5/8​
AnnZ [12381]

Answer:

15.6

Step-by-step explanation:

  1. 9\frac{3}{4} = \frac{39}{4}
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  3. 39/4 ÷ 5/8 = 39/4 × 8/5
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1 month ago
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If m<9=97° and m<12=114°, find each measure. I have to show my work.
Leona [12618]

Solution/Step-by-step breakdown:

Information provided:

m<9 = 97°

m<12 = 114°

a. m<1 = m<9 because they are corresponding angles, which are equal.

m<1 = 97° (using substitution)

b. m<2 + m<1 = 180° (since they form a linear pair)

m<2 + 97° = 180° (substitute the value)

m<2 = 180 - 97 (subtracting 97 from both sides)

m<2 = 83°

c. m<3 = m<11 (as they are corresponding angles)

m<11 + m<12 = 180° (linear pair)

m<11 + 114° = 180° (substituting the known angle)

m<11 = 180 - 114

m<11 = 66°

m<3 = m<11 = 66°

d. m<4 + m<3 = 180° (linear pair)

m<4 + 66° = 180° (substituting the known angle)

m<4 = 180 - 66

m<4 = 114°

e. m<5 = m<2 as vertical angles are equal.

m<5 = 83° (using substitution)

f. m<6 = m<1 (vertical angles are equal)

m<6 = 97° (using substitution)

g. m<7 = m<4 (as vertical angles are equal)

m<7 = 114° (using substitution)

h. m<8 = m<3 (due to vertical angles being equal)

m<8 = 66° (using substitution)

i. m<10 = m<2 (corresponding angles are equal)

m<10 = 83° (using substitution)

j. m<11 = m<3 (because they are vertical angles)

m<11 = 66° (using substitution)

k. m<13 = m<5 (corresponding angles)

m<13 = 83° (applying substitution)

l. m<14 = m<9 (as vertical angles)

m<14 = 97° (applying substitution)

m. m<15 = m<12 (as vertical angles)

m<15 = 114° (applying substitution)

n. m<16 = m<11 (because they are vertical angles)

m<16 = 66° (applying substitution)

3 0
1 month ago
Delaney would like to make a 10 lb nut mixture that is 60% peanuts and and 40% almonds. She has several pounds of peanuts and se
AnnZ [12381]

Response:

If there are "p" pounds of peanuts and "m" pounds of a mixture containing '20% peanuts and 80% almonds', then we can formulate the following equations:

p + m = 10 -----------(1) and

4m/5 = 4 ------------(2)

The solution yields 5 lb peanuts and 5 lb mixture.

Detailed explanation:

In the mixture that Delaney desires to create, there will be

\frac {10 \times 60}{100} lb

= 6 lb of peanuts

Thus, there will be (10 - 6) lb

= 4 lb of almonds

If Delaney has "p" pounds of peanuts and "m" pounds of the '20% peanuts and 80% almonds' mixture, then based on the problem statement,

p + m = 10 -----------(1) and

4m/5 = 4 ------------(2)

From equation (2), we derive

m = 5 --------------(3)

From (1) and (3), we find that

p = (10 - 5) = 5

7 0
12 days ago
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