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3 years ago

In the previous problem, which of the following is m angle B to the nearest degree?

Mathematics

2 answers:

alekssr [168]3 years ago

8 0

Answer:

A. 30

Step-by-step explanation:

sin theta = opposite side / hypotenuse

sin B = 8/16

sin B = 1/2

Take the arcsin of each side

arcsin sin(B) = arcsin (1/2)

B = arcsin (1/2)

B = 30

irina1246 [14]3 years ago

4 0

Answer:

Measure of ∠B is 30°

Step-by-step explanation:

Given the figure, we have to find the measure of angle B.

By trigonometric ratios formula,

$sin\theta=\frac{Perpendicular}{Hypotenuse}$

⇒ $sin\angle B=\frac{AC}{AB}=\frac{8}{16}$

⇒ $sin\angle B=\frac{1}{2}$

⇒ $\angle B=sin^{-1}(\frac{1}{2})$

⇒ $\angle B=30^{\circ}$

Hence, measure of ∠B is 30°

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Olin [163]

Answer:

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Step-by-step explanation:

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8 0

3 years ago

2. A solar lease customer built up an excess of 6,500 kilowatt hours (kwh) during the summer using his solar

tia_tia [17]

9514 1404 393

Answer:

a) E = 6500 -50d

b) 5000 kWh

c) the excess will last only 130 days, not enough for 5 months

Step-by-step explanation:

Given:

starting excess (E): 6500 kWh

usage: 50 kWh/day (d)

Find:

a) E(d)

b) E(30)

c) E(150)

Solution:

a) The exces is linearly decreasing with the number of days, so we have ...

E(d) = 6500 -50d

b) After 30 days, the excess remaining is ...

E(30) = 6500 -50(30) = 5000 . . . . kWh after 30 days

c) After 150 days, the excess remaining would be ...

E(150) = 6500 -50(150) = 6500 -7500 = -1000 . . . . 150 days is beyond the capacity of the system

The supply is not enough to last for 5 months.

3 0

3 years ago

Complete the tables of values.

Vladimir [108]

Answer:

$a=1\\b=\frac{1}{16}\\\\c=\frac{1}{256}\\\\d=1\\e=\frac{4}{9}\\\\f=\frac{16}{81}$

Step-by-step explanation:

For the orange table:

Substitute the corresponding values of x into the function $f(x)=4^{-x}$ , then:

For a:

x=0

$f(0)=4^0=1$

For b:

x=2

$f(x)=4^{-2}=\frac{1}{16}$

For c:

x=4

$f(x)=4^{-4}=\frac{1}{256}$

For the blue table:

Substitute the corresponding values of x into the function $g(x)=(\frac{2}{3})^x$ , then:

For d:

x=0

$g(x)=(\frac{2}{3})^0=1$

For e:

x=2

$g(x)=(\frac{2}{3})^2=\frac{4}{9}$

For f:

x=4

$g(x)=(\frac{2}{3})^4=\frac{16}{81}$

3 0

3 years ago

Round 2.56×0.03 to the nearest hundredth

Arlecino [84]

2.56 times 0.03 is 0.0768 then round to hundredth is 0.08 i think

4 0

4 years ago

John had $200 in his bank account. He made a purchase at the grocery store that was $1.50 more than he had in his account. Selec

Nana76 [90]

Answer: on the number line put -1.50 (1 and a half (1 1/2))

Step-by-step explanation:

$1.50 more than his account is $200.

the balance should be $-1.50

on the number line put -1.50

6 0

3 years ago