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2 years ago

Pls help someone pls pls help I have exam tomorrow

Mathematics

1 answer:

ladessa [460]2 years ago

4 0

Answer:

$n(A \cup \: B) = n(A) + n(B) - n(A \cap \: B)\\ = 9 + 11 - 5 = 15 \\$

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ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.

Travka [436]

Answer: m∠CAD = 81°

Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.

ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.

The figure below shows ABCD with its diagonals.

Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So

m∠BAC = m∠CAD

4x + 5 = 5x - 14

x = 19

Then, m∠CAD is

m∠CAD = 5(19) - 14

m∠CAD = 81

The angle m∠CAD is 81°.

7 0

3 years ago

A town has a population of 32,000 in the year 2002; 35,200 in the year 2003; 38,720 in the year 2004; and 42,592 in the year 200

Romashka-Z-Leto [24]

The answer is 102,442

3 0

3 years ago

In Exercise, simplify the expression. <br> eln(2x+1)

Galina-37 [17]

Answer:

The simplified expression is 2x + 1

Step-by-step explanation:

We are given the following in the question:

$e^{ln(2x+1)}$

We have to simplify this expression.

The logarithmic function is the inverse of the exponential function. Thus, we can write

$e^{ln(2x+1)}\\=2x + 1$

Thus, the simplified expression is 2x + 1

8 0

3 years ago

Dimensional analysis: How many atoms are in a kilogram of silver, if there are 6.02 x 10^23 atoms per mole and silver weighs 107

kondor19780726 [428]

Answer:

5.58×10²⁴ atoms.

Step-by-step explanation:

From the question given above, the following data were obtained:

1 mole of silver = 107.9 g

Number of atoms in 1 mole of silver = 6.02×10²³ atoms.

Number of atoms in a kilogram of silver =.?

Next, we shall convert 1 kg of silver to grams (g). This can be obtained as follow:

1 kg = 1000g

Therefore, 1 kg of silver is equivalent to 1000g.

Finally, we shall determine the number of atoms in 1 kg (i.e 1000 g) of silver as follow:

107.9 g of silver contains 6.02×10²³ atoms.

Therefore, 1000 g of silver will contain = (1000 × 6.02×10²³) / 107.9 = 5.58×10²⁴ atoms.

Thus, a kilogram of silver contains 5.58×10²⁴ atoms.

6 0

3 years ago

What is 47 minutes before 6:57

Schach [20]

6:10 is 47 mins before 6:57!!

6 0

2 years ago

Read 2 more answers