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3 years ago

What is the area of the following circle? D = 8

Mathematics

1 answer:

Darya [45]3 years ago

3 0

if the diameter is 8 units, then the radius is half that or 4.

$\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} r=4 \end{cases}\implies A=\pi 4^2\implies A=16\pi \implies A\approx 50.27$

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Please help me to solve all the questions would appreciate it if its with full working

Degger [83]

∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.

<h3>What are the total angles on a straight line?</h3>

According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.

If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°

Recall that in angles in parallel lines:

Corresponding Angles are always congruent,
Alternate Angles are always congruent, and
Interior According always sum up to 180°

Hence,

We can derive ∠LKJ because it is congruent with ∠BGJ.

To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.

To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.

Hence ∠LFH = 180 - 78 = 102°

Recall that ∠LFH and ∠BGJ are interior angels. Hence

∠BGJ = 180 - 102 = 78°.

Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore

∠LKJ = 78°

∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.

<h3>What are the solutions to section B?</h3>

Because ∠ACB and ∠BAC are equal, therefore sides AB and BC are equal in length. We can tell that ∠ACB and ∠BAC are equal because the total angles in the triangle are equal to 180°

2. The name given to the triangle mentioned above is Obtuse

Triangle. This is because one of the angles exceeds 90°.

Learn more about angles in parallel lines at:
brainly.com/question/24607467
#SPJ1

4 0

2 years ago

100 BRAINLY POINTS!!!

BARSIC [14]

Answer:

C) $y=-0.5x+8$

Step-by-step explanation:

Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.

All the given options for the line of best fit are linear equations.

Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.

Linear equation: $y=mx+b$

(where $m$ is the slope and $b$ is the y-intercept)

From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 8. So this suggests that options C or D are the solution.

We can also see that the slope (gradient) of the line of best fit is approximately -0.5 (as the rate of change (y/x) is -1 unit of y for every +2 units of x).

Therefore, C is the solution, and the closet approximation to the line of best fit is $y=-0.5x+8$

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2 years ago

A cylindrical water tank is being filled with a hose. The depth of the water increases by 1 1/4 ft per hour. How many hours will

Ray Of Light [21]

It will take 2 hours for the pool to reach 3
1/2 feet

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4 years ago

Charles can ride his bike 4 miles in 20 minutes. Which of the following ratios show the number of miles to minutes Charles can r

SIZIF [17.4K]

Answer:

D.) 1:5

Step-by-step explanation:

The reason why it's D is because when you simplify the original ration, 4:20, you get the simplified answer of 1:5. When you divide each side by 4, you get the ratio of 1:5.

So, D.) 1:5

Hope this helped!

Stay safe and have a wonderful day/night!

<em>Your friend Bella was here :)</em>

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3 years ago

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Can anyone help me please?

Grace [21]

Answer: 17

Step-by-step explanation:

We can tell that for every 2 changes in X there is 8 points lost in y

meaning that if we do 8 /2 we get 4

Every 1 change in x there is 4 points of change in Y

so if (3,5) Then (0,17)

17 - 5 = 12 And 3-0 = 3 So for 3 points of change for Xthere were 12 points of change for Y so this is right

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3 years ago

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