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2 years ago

Select the two figures that are similar to each other.

Mathematics

2 answers:

kakasveta [241]2 years ago

7 0

Answer:

B and D

Step-by-step explanation:

if they had letters it would be

A B

C D

options B and D are similar

motikmotik2 years ago

3 0

Answer:

II and IV

Step-by-step explanation:

We are given that four figures

We have to find two similar figures.

Similar figures: Two triangle are called similar when the ratio of corresponding sides are equal and corresponding angles are equal.

In Second and fourth figure

Each angle of second figure is equal to its corresponding angle of fourth figure.

Ratio of corresponding sides

$\frac{6}{12}=\frac{1}{2}$

$\frac{2.5}{5}=\frac{1}{2}$

$\frac{6.5}{13}=\frac{1}{2}$

$\frac{6}{12}=\frac{2.5}{5}=\frac{6.5}{13}$

Hence, second and fourth figure are similar to each other.

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A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft

Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

$\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)$

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

$\frac{T(t2)-T(t1)}{t2-t1}$ ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

$\frac{27 - 46}{15 - 0}$ = -h (27 - Tenv)

$\frac{19 - 27}{15 - 0}$ = -h (19 - Tenv)

Now we have a system of two equations and two variables

$\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h$

$\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18$

The refrigerator was at around 13 ∘C

6 0

2 years ago

Need answers for 70-75

adoni [48]

Answer:

70. 0

71. -54

72. 12

73. 86

74. 59

Step-by-step explanation:

To evaluate an expression, substitute specific values for the variables and simplify using Order of Operations.

70. c-3d becomes

$(1)-3(\frac{1}{3}) = 1-(\frac{3}{3}) = 1-1 = 0$

71. $x+x^3-4x^4$ becomes

$2+2^3-4(2)^4 = 2+8-4(16) = 2+8-64=10-64=-54$

72. $5a+3a^2$ becomes

$5(-3)+3(-3)^2 = -15 +3(9) = -15 + 27 = 12$

73. $F=\frac{9}{5}C+32$ becomes

$F=\frac{9}{5}(30)+32=\frac{270}{5}+32 = 54+32 = 86$

74. $F=\frac{9}{5}C+32$ becomes

$F=\frac{9}{5}(15)+32=\frac{135}{5}+32 = 27+32 = 59$

8 0

2 years ago

Rewrite the expression 7x+21=

Dima020 [189]

Minus the 21 from the other side of the equation making it 7x=-21 then u divide the 7 from the x to the -21 resulting in x=-3

5 0

2 years ago

Read 2 more answers

Algebra find the unknown digit to make each statement true 2.48>2.4 1>2.463

valentina_108 [34]

We have 2.48>2.4 1>2.463. If we insert a '7' between that 4 and 1, we get:

2.48 > 2.471 >2.463, and this is true.

8 0

2 years ago

90% of a number is x . What is 100% of the number? Assume x>0

mariarad [96]

Step-by-step explanation:

Let the required number be n

$\therefore \: \frac{90}{100} \times n = x \\ \\ \therefore \: \frac{9}{10} \\ \\ \therefore \:n = \frac{10}{9} x \\ \\ \therefore 100\% \: of\:n = \frac{10}{9} x \times 100\% \\ \\ = \frac{10}{9} x \times \frac{100}{100} \\ \\ = \frac{10}{9} x \\$

NOTE: A number is always 100% in itself.

3 0

2 years ago