Is 1 yard greater than 1 meter

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°

Ilia_Sergeevich [38]

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°

8 0

3 years ago

Find the missing exponent. Set up an equation and solve. : x^4·x^n = x^5

Assoli18 [71]

$Use\ a^n\cdot a^m=a^{n+m}\\\\x^4\cdot x^n=x^5\\\\x^{4+n}=x^5\iff4+n=5\ \ \ |subtract\ 4\ from\ both\ sides\\\\\boxed{n=1}$

7 0

2 years ago

Regular triangular pyramid has 6 cm long base edge and slant height k=9 cm. Find the lateral area of the pyramid.

gregori [183]

Answer:

81 cm²

Step-by-step explanation:

Since, the lateral face of a triangular pyramid is a triangle,

Given,

The base edge or the base of one lateral face of pyramid, a = 6 cm,

And, the slant height or the height of the face, k = 9 cm,

Thus, the area of one lateral face of the pyramid,

$A=\frac{1}{2}\times a\times k$

$=\frac{1}{2}\times 6\times 9$

$=\frac{54}{2}$

$=27\text{ square cm}$

We know that, a Regular triangular pyramid has 3 lateral faces,

Hence, the total lateral area of the pyramid,

$L.A.=3\times\text{ The area of one lateral face}$

$=3\times 27$

$=81\text{ square cm}$

5 0

2 years ago

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How many meters are in a millimeter

Naddika [18.5K]

There are 1000 millimeters in a meter and 0.001 meters in a millimeter

7 0

3 years ago

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In rectangle ABCD diagonal AC is drawn. If measure angle DCA=30 degrees, find measure angle CAD?

Doss [256]

Si usted no es el destinatario de este mensaje no está autorizado a leerlo retenerlo o difundirlo por cualquier medio del presente correo electrónico en busca de virus y protegido por ley cualquier persona que me lo puedes hacer un buen amigo mío ewe quiero que me lo puedes hacer un buen amigo mío ewe quiero que me lo puedes hacer un buen amigo mío ewe quiero que me lo puedes hacer un buen amigo y Aldana cómo es de su nombre pero si usted no es el destinatario del mismo y no se acabe la carrera y me gustaría de la empresa y el otro es mi número celular para el desarrollo y te voy venir el viernes pasado muy la pantalla esta semana para el día lunes a jueves qu

8 0

2 years ago

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