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Alex17521 [72]
3 years ago
14

Construct a circle with a radius of 8cm, and draw an equilateral triangle inside it. Make sure the length of each side measures

to 15.6 cm. ​
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

Answer:

<u>Diagram 1</u>

Draw a circle with a radius of 8 cm, ensuring you have clearly marked the center point (black circle with center C1)

Add a point on the circumference of the circle (point C2)

Draw a second circle of radius 8cm with point C2 as its center (red circle with center C2).

<u>Diagram 2</u>

The red circle intersects the black circle at two points (D and E).

Connect these 2 points of intersection with a line segment.

<u>Diagram 3</u>

Draw a third circle with center D and radius DE (shown in blue)

This circle intersects the black circle at point F.

<u>Diagram 4</u>

Draw 2 line segments to connect points D and E with point F - this is your equilateral triangle inside the circle!

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Find f(g(h(x))) from functions below..
Lilit [14]

Answer:

f(g(h(x))) = (\sqrt{x} - 8)^4 + 8

Step-by-step explanation:

f(x) = x^4 + 8

g(x) = x - 8

h(x) = \sqrt{x}

f(g(h(x))) = f(g(\sqrt{x})) = f(\sqrt{x} - 8) = (\sqrt{x} - 8)^4 + 8

4 0
3 years ago
Add 10 and g, then subtract f from the result​
ANTONII [103]

Answer:

(10+g) -f

Step-by-step explanation:

Add 10 and g

10 +g

Subtract f from the result

(10+g) -f

6 0
3 years ago
Find the slope and y-intercept of the -4x+3y=15
konstantin123 [22]
-4x+3y=15
3y=15+4x
y=(15+4x)/3= 4/3x +5
slope: 4/3
y-intercept: 5
8 0
3 years ago
Slopes 3 and (1,4) is on the line put in standard form
VARVARA [1.3K]
Y - y₁ = m(x - x₁)       slope(m) = 3     point (1, 4)

y - 4 = 3(x - 1)

y - 4 = 3x - 3

y = 3x - 3 + 4

3x - y = -1  <<< your answer

hope this helps, God bless!
5 0
3 years ago
n=400 people under the age of 25 was asked whether they check social media sites right after they wake up. 42% check social medi
Aliun [14]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.5

For the alternative hypothesis,

p < 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

P = 42/100 = 0.42

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

n = 400

z = (0.42 - 0.5)/√(0.5 × 0.5)/400 = - 3.2

Recall, population proportion, p = 0.5

We want the area to the left of 0.5 since the alternative hypothesis is lesser than 0.5. Therefore, from the normal distribution table, the probability of getting a proportion < 0.5 is 0.00069

So p value = 0.00069

Since alpha, 0.05 > than the p value, 0.00069, then we would reject the null hypothesis.

Therefore, there is significant evidence to conclude that that less than 50% of people under the age of 25 check social media sites right after they wake up.

7 0
3 years ago
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