In the diagram above, O is the centre of circle, PAQis the tangent to the circle at A, AD is parallel to OC and ∠PAD = 28°. Find,
(i) ∠ABC
(ii) ∠OAC
(iii) ∠OCD​

Answer:

D

Step-by-step explanation:

Given:

Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D.

To find: probability that he picks A first and B second if he picks two at random

Solution:

Total number of outcomes = [tex]4!=4(3)(2)(1)=24[/tex]

Favourable outcomes are ABCD, ABDC

Number of favourable outcomes = 2

probability that he picks A first and B second = Number of favourable outcomes / Total number of outcomes = [tex]\frac{2}{24}=\frac{1}{12}[/tex]

Answer:

Numbers greater than or equal to 15950 and less than 16050.

Step-by-step explanation:

Given:

The town Diego lives in has a population of about 16,000

To fill: the blanks

Solution:

Numbers 15950, 15951, 15952, 15953,...., 16000, 16001, 16002,..., 16049 are rounded off to 16,000 when rounded to the nearest hundred.

In other language, numbers greater than or equal to 15950 and less than 16050

Numbers greater than or equal to 15950 and numbers less than or equal to 16049 will round round to 16000 when rounded to the nearest hundred.

To round to the nearest hundred :

Therefore, Values below 15950 and beyond 16049 will not round to 16000(to the nearest hundred).

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Answer:

tan35 = 9/x

Step-by-step explanation:

I'm typing this to get 20+ characters

Answer:

tan(35)=9/x

Step-by-step explanation:

tan is opposite over adjacent and the only angle given is the 35 so you would use tangent 35 to solve for x.

Answer:

b

Step-by-step explanation: i took the same test

Answer:

[tex]4cm[/tex]

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi \: r \\ \\ solving \: \: \: for \: \: \: radius \\ \\ r = (3 \frac{v}{4\pi} ) ^{ \frac{1}{3} } \\ \: \: \: \: = (3 \times \frac{288}{4 \times \pi} )^{ \frac{1}{3} } \\ \: \: \: \: ≈

4.0967[/tex]

Answer:

True

Step-by-step explanation:

Answer:

I’m Pretty sure its true but if not sorry.

Step-by-step explanation:

By applying the Pythagorean theorem to both triangles and connecting them, we find that x is roughly 11.547 cm, establishing the relationship between the side lengths in these right triangles.

Let's explore the relationship between two right triangles, ABC and ACF, and calculate the value of x using the Pythagorean theorem.

Triangle ABC is a right triangle with sides BC and AB both measuring x cm. By applying the Pythagorean theorem (a^2 + b^2 = c^2), where c is the hypotenuse, in this case, AC, we find:

AC² = x² + x² = 2x²

This equation relates the lengths of the sides of triangle ABC.

Now, consider triangle ACF. It's also a right triangle with side CF measuring x cm and a hypotenuse AC, which is 20 cm long. Applying the Pythagorean theorem again:

20² = AC² + x²

Since we already established that AC² is 2x² from the first triangle, we can substitute it in:

20² = 2x² + x²

This equation connects the two triangles. To find the value of x, we need to solve this equation:

20² = 3x²

Now, isolate x:

x² = (20²) / 3

x² = 400/3

x = √(400/3)

x ≈ 11.547 cm

So, x is approximately 11.547 cm.

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Answer:

Lateral surface area = 4 (1/2 × 705 × 588.30) = 829503 ft²

Step-by-step explanation:

The pyramid is a square base pyramid. The height = 471 ft. The sides of the square base pyramid = 705 ft.

To calculate the lateral area of the square base pyramid we have to know the slant height. The slant height can be known by using Pythagoras theorem to solve for it.

c² = a² + b²(Pythagoras theorem)

base = b = 705/2 = 352.50 ft

c² =  352.50² + 471²

c² = 124256.25 + 221841

c² = 346097.25

square root both sides

c = √346097.25

c = 588.300305966

c ≈ 588.30 ft

slant height = 588.30 ft

Lateral surface area  = sum of area of the 4 triangular faces

lateral surface area = 4 (1/2 × base × height)

Lateral surface area = 4 (1/2 ×705 × 588.30) = 829503 ft²

Answer:

829503.6

Step-by-step explanation:

The correct question is;

Which numbers are irrational? Select all that apply.

A) 9/15

B)√18

C)√9

D) √169

E) √78

F)π = 3.14...

Answer:

The irrational numbers are;

√18 ; √78 and π = 3.14...

Step-by-step explanation:

An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.

Thus;

A) 9/15 = 0.6 It's decimal stops after 6 and thus it is not irrational

B) √18 = 4.242640687119285.... The decimal doesn't repeat and the continuous dots means it's decimal doesn't stop. Thus it is an irrational number

C) √9 = 3. Doesn't have a repeating or continuous decimal and thus it's not irrational

D) √169 = 13. Doesn't have a repeating or continuous decimal and thus it's not irrational

E) √78 = 8.831760866327846......

The decimal doesn't repeat and the continuous dots means it's decimal doesn't stop. Thus it is an irrational number

F) π = 3.14.... The continuous dots means it's decimal doesn't stop. The decimal doesn't repeat and so, it's an irrational function

Answer:

v18

v78

3.14

Step-by-step explanation:

Which numbers are irrational? Select all that apply.

StartFraction 9 Over 15 EndFraction

StartRoot 18 EndRoot

StartRoot 9 EndRoot

StartRoot 169 EndRoot

StartRoot 78 EndRoot

Pi

So the right answer is 12000.

Look at the attached picture ⤴

Hope it will help u...

Answer:

-4/9 ,Option d

Step-by-step explanation:

4/-9

=-4/9

-4/-9=4/9 which is not equivalent

=9/4 is not equal to 4/-9

=-9/4 is not equal to 4/-9

Answer:

54700

Step-by-step explanation:

Answer:

Their are 54700 milliliters  in a liter

Step-by-step explanation:

Answer:

1. S

2. diameter

3. secant

4. central angle

5. minor arc

6. tangent

7. radius

8. semi circle

9. chord

10. major arc

Step-by-step explanation:

Answer:

3 minutes per student

Step-by-step explanation:

60/20=3

Answer:

3 minutes per student.

Step-by-step explanation:

To solve this, we can first convert hours to minutes:

1 hour--> 60 minutes.

Since the problem states he can figure the average for 20 students in 1 hour, all we need to do is simply:

60÷20= 3 minutes per student.

The discriminant of the quadratic function f(x) = -4x^2 + 10x - 8 is -28. Since the discriminant is negative, there are no distinct real number zeros for this function.

Your question involves finding the discriminant of the quadratic function f(x) = -4x2 + 10x - 8 and determining how many distinct real number zeros it has. The discriminant of a quadratic equation in the form ax2 + bx + c is given by b2 - 4ac. In your case, a = -4, b = 10, and c = -8. Let's calculate the discriminant:

b2 - 4ac = (10)2 - 4(-4)(-8)

b2 - 4ac = 100 - 128

b2 - 4ac = -28

Since the discriminant is negative (b2 - 4ac < 0), the quadratic function f(x) has no real number of zeros. Therefore, the graph of the function does not cross the x-axis, and there are no distinct real roots.

Answer:

First off if you want this answered make sure it's clear when your multiplying or using X

(5x^2+6)-(6x-5x^2)

5x^2 -- 5x^2 = 10x^2

10x^2 -6x + 6

Answer:

B

Step-by-step explanation:

Y look like it's close to 90 degrees.

(x + 10) + (x + 10) = 90

90 - (10 + 10) = 70

70/2 = 35

x = 35

Have a great day!

Answer:

x = 35

Step-by-step explanation:

Since we know that this is a right angle, we know that the total has to equal 90 degrees. From there, we can make an equation:

(x+10) + ( x+10) = 90

2x +20 = 90

2x = 70

x = 35

Hope this helped and pls mark as brainliest!

~Luna

Answer:

x=25

Step-by-step explanation:

24²+7²=625

√625= 25

Answer:

25

Step-by-step explanation:

1) So "x" is the measurement of the longest side in a right angle triangle. The longest side is called the hypotenuse

there is actually a formula to find the measurement of the hypotenuse called the pythagorean theorem

so

a^2+b^2=c^2

where a=measurement of one side

b=measurement of other

and c=hypotenuse

hence,

24^2+7^2=x^2

576+49=x^2

625=x^2

to find value of x by itself take square root on both sides:

25=x

Hope this helps!

Answer:

144cm2

Step-by-step explanation:

Hope this helps

The surface area of a composite solid is 144 cm².

The net is made up of three parallel rectangles and an equal number of equal triangles. The surface area is a total of five shapes. To find the location of a triangle, you need to know the height of the triangle.

A solid composite is a solid, or solid, two or more solids. Solid materials are usually made of prisms, pyramids, cones, cylinders, and spheres.

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Answer: It mainly three

Step-by-step explanation:

Answer:

1. (-2,2) 2.(4,2)

Step-by-step explanation: since number 1 isn’t negative and positive the x I see negative 2. For number 2 it is positive positive. So x is 4 And they y value is 2 hope this helps

Answer:

0.952380952

Step-by-step explanation:

bc sin is ac/cb so thats what i think

1/2x - 7.5Step-by-step explanation:The image below shows proof that the equation y = 1/2x - 7.5

Step-by-step explanation:

The equation of the line contains the point ( 3 , -6) graph is shown below.

Since the point (3, -6) lies on the line, we can use the point-slope form of linear equations to find the equation of the line, which is:

[tex]y - y_1 = m(x - x_1)[/tex]

where [tex](x_1, y_1)[/tex]  is the point on the line and m is the slope of the line.

Substituting in (3, -6) and m = 1/2, we get:

y - (-6) = 1/2(x - 3)

y + 6 = 1/2x - 3/2

y = 1/2x - 3/2 - 6

y = 1/2x - 9/2

To graph the line, we can start by plotting the point (3, -6). Then, we can use the slope to find another point on the line.

Since the slope is 1/2, it means that for every 1 unit we move up, we must also move 2 units to the right.

Therefore, we can move 2 units to the right and 1 unit up from (3, -6) to find the point (5, -5). We can then plot this point and connect the two points with a line.

Here is a graph of the line that contains the point (3, -6) and has a slope of 1/2:

The graph shows that the line passes through the point (3, -6) and has a positive slope.

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