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aliya0001 [1]
3 years ago
10

If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A) 32.5° B) 39.2° C) 50.5° D) 57.5°

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
8 0

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = c^{2} = a^{2} + b^{2}

a = 7 and b = 11

a^{2} = 49

b^{2} = 121

Plugging in the values, we will get:

c^{2} = 49 + 121

c^{2} = 170

c = \sqrt{170}

To calculate the unknown angle B, we can use law of sine.

Law of sine = \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

So,

\frac{c}{sinC} = \frac{b}{sinB}

\frac{\sqrt{170} }{sin90} =  \frac{11}{sinB}

Sin90 = 1

sinB = \frac{11}{\sqrt{170} }

B = sin^{-1} (\frac{11}{\sqrt{170} })

B = 57.5°

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Solve question please​
JulijaS [17]

Answer:

289

Step-by-step explanation:

17^{2}

17x17

= 289

Hope this helps

3 0
2 years ago
Read 2 more answers
A geometric series has second term 375 and fifth term 81 . find the sum to infinity of series .
Eduardwww [97]

Answer:  \bold{S_{\infty}=\dfrac{3125}{2}=1562.5}

<u>Step-by-step explanation:</u>

  a₁,  375,  a₃,   a₄,  81

First, let's find the ratio (r). There are three multiple from 375 to 81.

375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}

Next, let's find a₁

a_1\bigg(\dfrac{3}{5}\bigg)=375\\\\\\a_1=375\bigg(\dfrac{5}{3}\bigg)\\\\\\a_1=125(5)\\\\\\a_1=625

Lastly, Use the Infinite Geometric Sum Formula to find the sum:

S_{\infty}=\dfrac{a_1}{1-r}\\\\\\.\quad =\dfrac{625}{1-\frac{3}{5}}\\\\\\.\quad =\dfrac{625}{\frac{2}{5}}\\\\\\.\quad = \dfrac{625(5)}{2}\\\\\\.\quad = \large\boxed{\dfrac{3125}{2}}

7 0
3 years ago
‼️PLEASE HELP‼️‼️ Juan has $13 dollars in his piggy bank. Each week on Monday, he gets $10 for his allowance . Write a function
Semmy [17]

Answer:

f(x) = 10x + 13

Function f(7) = 83

Step-by-step explanation:

y = 10x + 13

f(x) = 10x + 13

Function f(7) = 10(7) + 13

Function f(7) = 83

6 0
3 years ago
What is 7-2x when x= -3
Annette [7]

Step-by-step explanation:

When x=-3

7-2(-3)=7-(-6)

=7+6

=13

5 0
3 years ago
Use synthetic division to detemine if x+1 is a factor of f(x) for f(x) x^3-7x^2+8x+16
Gennadij [26K]

Answer:

It is a factor

Step-by-step explanation:

[x³ -7x² + 8x + 16] ÷ (x + 1)

[x³ + x² - 8x² - 8x + 16x + 16] ÷ (x + 1)

[x²(x + 1) - 8x(x + 1) + 16(x + 1)] ÷ (x + 1)

x² - 8x + 16 and tye remainder is 0.

So, yes (x + 1) is a factor

6 0
2 years ago
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