Answer: (B) - 43°
Explanation: Using the sine rule, we can say that sinA/BC = sinC/AB
sin(61)/45 = sin(C)/35
sin(C) = 35sin(61)/45

sin(C) ≈ 0.680259772....
C = arcsin(0.680259772...)

C = 42.8639459...
C ≈ 43°

4 0

2 years ago

Read 2 more answers

Samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the

Anon25 [30]

Answer:

Samuel slept for 1/4 of the distance.

Step-by-step explanation:

The information provided are:

Samuel fell asleep halfway home.
He didn't wake up until he still had half as far to go as he had already
gone while asleep.

Consider that the total distance covered was 1.

Then from the first point we know that Samuel fell asleep after covering a distance of 1/2.

It is provided that he woke up only after covering half of the remaining distance.

That is, he slept for 1/4 of the remaining distance.

Thus, Samuel was asleep for 1/4th of the entire trip home.

6 0

2 years ago

Which equation models the problem below if c represents the number of babies whose eyes are closed? There are 12 babies in a pho

Pavel [41]

The correct answer is: 9 + c = 12

Further explanation:

Given

c = number of babies whose eyes are closed

So,

If the total number of babies are 12 then the sum of babies with eyes closed and eyes opened should be equal to 12.

As c is the number of babies with eyes closed and 9 is the number of babies with eyes opened then,

$9+c = 12$

The equation can be used to find the number of babies whose eyes are open

$9+c-9 = 12 -9\\c = 3$

Three babies have their eyes closed in the photograph.

Keywords: Linear equations, Word problems

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x

s2008m [1.1K]

Answer:

x = 1

Step-by-step explanation:

Using the rules of logarithms

log $x^{n}$ ⇔ n log x

$log_{b}$ x = n ⇔ x = $b^{n}$

Given

3 $log_{2}$ (2x) = 3

$log_{2}$ (2x)³ = 3

(2x)³ = 2³

8x³ = 8 ( divide both sides by 8 )

x³ = 1 ( take the cube root of both sides )

x = 1

7 0

3 years ago