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3 years ago

Approximate the unknown side x in the diagram. A. 3.356 B. 5.222 C. 3.064 D. 4.737

Mathematics

2 answers:

Marianna [84]3 years ago

5 0

Answer:

The answer to your question is x = 3.356 cm

Step-by-step explanation:

This is a right triangle so we can use the Trigonometric functions to solve this problem.

Data

Ф = 40°

Adjacent side = 4 cm

Opposite side = x

Process

1.- We must know the lenght of the opposite side so we must use the tangent to solve it.

tangent Ф = $\frac{Opposite side}{Adjacent side}$

2.- Solve it for Opposite side

Opposite side = tanФ x Adjacent side

Opposite side = tan 40° x 4

Opposite side = 0.839 x 4

Opposite side = 3.356

Opposite side = x = 3.356 cm

Gelneren [198K]3 years ago

4 0

Answer:

= 3.356 cm

Step-by-step explanation:

i know because i took the test an got an 80

1. 9.46

2. given

3. i didn't get it right but it is NOT 20.47

4. 51.1

5. 38.7

some test are different an may ask different question but this is what i got hope it helps make this year count

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Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is current

exis [7]

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

6 0

2 years ago

Freezer A measures 1 ft times 1 ft times 5 ft and sells for $300. Freezer B measures 1.5 ft times 1.5 ft times 4 ft and sells f

Sladkaya [172]

Answer:

Freezer A is better option as price per cubic foot is less for Freezer A

Step-by-step explanation:

Data provided in the question:

Measure of Freezer A = 1 ft × 1 ft × 5 ft

Measure of Freezer B = 1.5 ft × 1.5 ft × 4 ft

Price of Freezer A = $300

Price of Freezer B = $600

Now,

Volume of Freezer A = 1 ft × 1 ft × 5 ft

= 5 ft³

Volume of Freezer B = 1.5 ft × 1.5 ft × 4 ft

= 9 ft³

Now,

Price per cubic foot for Freezer A = $300 ÷ 5 ft³

= $60/ft³

Price per cubic foot for Freezer B = $600 ÷ 9 ft³

= $66.67/ft³

Hence,

Freezer A is better option as price per cubic foot is less for Freezer A

7 0

3 years ago

the distance between two towns on a map is 6cm. the actual distance between 2 towns is 48km what is the scale on the map

kodGreya [7K]

Answer:

1 cm=8 km

Step-by-step explanation:

We can use a ratio to determine the scale. Take the distance on the map on the left and the "real distance" on the right

6 cm=48 km

Divide by 6

6 cm/ 6 = 48 km /6

1 cm=8 km

4 0

3 years ago

Find Distance (4,6) (-4,-3)

vampirchik [111]

Answer:

$\sqrt{145}$

Step-by-step explanation:

The distance formula states that the distance between two points $(a,b)$ and $(c,d)$ is $\sqrt{(a-c)^2+(b-d)^2}$ .

The two points we have are $(4,6)$ and $(-4,-3)$ . Plugging these numbers into the distance formula, we have

$\sqrt{(4-(-4))^2+(6-(-3))^2$ .

Simplifying with order of operations, first using the distributive property, gives

$\sqrt{(4+4)^2+(6+3)^2$ .

Squaring and adding gives

$\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},$

which is the answer in simplest form. This also rounds to about 12.04.

7 0

2 years ago

Whats 1.64 as a mixed number in simplest form

raketka [301]

It is 1 16/25

Hope it helps ;-)

8 0

3 years ago