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3 years ago

Find the value of z in the triangle shown below.

Mathematics

1 answer:

suter [353]3 years ago

5 0

Answer:

x = 69.4 degrees

Step-by-step explanation:

∠x = sin(a·sin(B)/b) = 1.21158 rad = 69.419°

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Please answer this question.

lesantik [10]

Answer:

aₙ = aₙ₋₁ + n + 1

Step-by-step explanation:

a₁ = 2

a₂ = 2 + 2 + 1 = 5

a₃ = 5 + 3 + 1 = 9

a₄ = 9 + 4 + 1 = 14

a₅ = 14 + 5 + 1 = 20

4 0

3 years ago

Find the cube of 2/3

Murrr4er [49]

Answer:

8/27

Step-by-step explanation:

$\huge \bigg( \frac{2}{3} \bigg)^{3 } = \frac{ {2}^{3} }{ {3}^{3} } = \frac{8}{27} \\$

5 0

4 years ago

Read 2 more answers

Drag the tiles to the boxes to form correct pairs

Brums [2.3K]

Answer:

1) $sin^{-1}(\frac{1}{\sqrt{2} })=45$

2) $cos^{-1}(\frac{\sqrt{3} }{2})=30$

3) $tan^{-1}(\sqrt{3})=60$

4) $sin^{-1}(1)=90$

Step-by-step explanation:

1) Value of $sin^{-1}(\frac{\sqrt{2} }{2}) =sin^{-1}(\frac{1}{\sqrt{2} })$

since sin45° = 1/√2

Therefore $sin^{-1}(\frac{1}{\sqrt{2} })=45$

2).Value of $cos^{-1}(\frac{\sqrt{3} }{2})$

Since cos 30° = √3/2

Therefore $cos^{-1}(\frac{\sqrt{3} }{2})=30$

3). Value of $tan^{-1}(\frac{3}{\sqrt{3} }) = tan^{-1}(\sqrt{3})=60$

since tan 60° = √3

therefore $tan^{-1}(\sqrt{3})=60$

4). Value of $sin^{-1}(1)$

Since sin90°=1

Therefore $sin^{-1}(1)=90$

3 0

3 years ago

Read 2 more answers

Antonio wants to invest $7600 in a saving account. Determine the interest rate (simple interest) required for Antonio’s investme

disa [49]

<h3>Interest rate required for Antonio’s investment to double in value in 12 years is 8.3 % per annum</h3>

Solution:

Given that,

Antonio wants to invest $7600 in a saving account

Antonio’s investment to double in value in 12 years

To find: Rate of interest

The total amount using simple interest is given as:

$A = p(1+\frac{r}{100}t)$

Where,

p is the principal

r is the rate of interest

t is the number of years

From given,

p = 7600

t = 12 years

r = ?

Antonio’s investment to double

Therefore,

A = 2(7600) = 15200

Substituting the values we get,

$15200 = 7600(1 + \frac{r}{100} \times 12)\\\\\frac{15200}{7600} = 1 + 0.12r\\\\2 = 1 + 0.12r\\\\0.12r = 2 - 1\\\\0.12r = 1\\\\r = 8.333 \%$

$r \approx 8.3 \%$

Thus interest rate required for Antonio’s investment to double in value in 12 years is 8.3 % per annum

7 0

4 years ago

How many solutions does the equation have? 4(z−5)+2=4z−18

ANTONII [103]

Distribute the 4:
4z - 20 + 2 = 4z - 18
Subtract 4z
-20 + 2 = -18
-18 = -18
This is true so that means there are infinite number of solutions... z could be anything!

7 0

4 years ago

Read 2 more answers