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3 years ago

Evaluate 6 0 + 6 1 + 6 2

Mathematics

2 answers:

xxMikexx [17]3 years ago

7 0

43 would be the right answer

Serhud [2]3 years ago

5 0

Answer:

The correct answer is 43

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24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .

kykrilka [37]

Answer:

a. Center: (-15, 9), Radius: 5

Step-by-step explanation:

Equation of a circle:

The equation of a circle of center $(x_0, y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In this question, we have that:

$(x + 15)^2 + (y - 9)^2 = 25$

Comparing both equations:

$x - x_0 = x + 15$

$x_0 = -15$

And

$y - y_0 = y - 9$

$y_0 = 9$

The center is $(-15,9)$ .

For the radius:

$r^2 = 25$

$r = \sqrt{25} = 5$

The correct answer is given by option a.

8 0

3 years ago

In △ABC, m∠A=19°, a=13, and b=14. Find c to the nearest tenth.

34kurt

We know that
Applying the law of sines

step 1
Find the value of angle B
a=13
b=14
A=19°
so

$\frac{a}{sin A} = \frac{b}{sin B} \\ a*sin B=b*sin A \\ sin B= \frac{b}{a}*sin A \\ sin B= \frac{14}{13} *sin 19 \\ sin B=0.3506 \\ B=arc sin(0.3506) \\ B=20.5$ °

step 2
with angle A and angle B find the angle C
A+B+C=180-----> solve for C
C=180-(A+B)------> C=180-(19+20.5)-----> C=140.5°

step 3
$\frac{a}{sin A} = \frac{c}{sin C} \\ a*sin C=c*sin A \\ c=a* \frac{sin C}{sin A} \\ c=13* \frac{sin 140.5}{sin 19} \\ c=25.4$

the answer is
the value of c is 25.4

3 0

3 years ago

A tap can fill a bucket in 6 hours. After half the bucket is filled, three more similar taps are opened. What is the total time

777dan777 [17]

The total time taken to fill the bucket completely is 3 hours 45 minutes

The time taken to fill the bucket by one tap= 6 hours

Then the time take by one tap to fill half of the bucket= 3 hours

Part filled by one tap in one hour = $\frac{1}{6}$

Part filled by four taps in one hour = $4(\frac{1}{6})=\frac{4}{6}=\frac{2}{3}$

Given, that after half the bucket is filled, three more similar taps are opened

Then the remaining part = $1-\frac{1}{2}=\frac{1}{2}$

Time taken to fill the half of the bucket= $(\frac{1}{2} )(\frac{2}{3})=\frac{3}{4}$ hours

Convert the hours to minutes

$(\frac{3}{4})60=45$ minutes

Therefore,

Total time taken to fill the bucket= The time taken by one tap to fill half of the bucket+ Time taken by 4 taps to fill the half of the bucket

=3 hours+ 45 minutes

=3 hours 45 minutes

Hence, The total time taken to fill the bucket completely is 3 hours 45 minutes

Learn more about time here

brainly.com/question/28050940

#SPJ4

8 0

2 years ago

If 26.97 ÷ 6.3 is written in long division form as so that the divisor is written as a whole number, where should the decimal po

Soloha48 [4]

<h2>Answer:</h2>

The decimal point should be placed between digits 9 and 7 in the dividend. i.e the dividend becomes 269.7

<h2>Step-by-step explanation:</h2>

Dividend = 26.97 [numerator]

Divisor = 6.3 [denominator]

If 26.97 ÷ 6.3 is written in long division form so that the divisor is written as a whole number, we have the following;

(i)First convert the divisor to a whole number by multiplying by 10 i.e

6.3 x 10 = 63

(ii) Since the divisor (denominator) has been multiplied by 10, to make sure the division expression stays the same, we need to multiply the dividend(numerator) too by 10. i.e

26.97 x 10 = 269.7

(iii) The division expression then becomes;

269.7 ÷ 63

Therefore, the decimal point should be placed between digits 9 and 7 in the dividend.

8 0

3 years ago

The graph of a sine function g(x) is presented below.

NISA [10]

Solution

To determine the vertical translation

We need to determine the amplitude

The amplitude is

$\frac{10-4}{2}=\frac{6}{2}=3$

Since the minimum is 4

Hence, the Vertical shift is 3+4 = 7

Part B

Given f(x) = 4 sin(θ - 45) + 8

The vertical translation is 8

3 0

1 year ago