All categories

3 years ago

What’s the correct answer for this?

Mathematics

2 answers:

hichkok12 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Look at the shape closely observe the following the imaginary lines;

OC = OA , OB = OD {these is the raduis of the circle;

note also line CQ = CD { the perpendicular line bisects line CD in two equal halves;

Similarly ;

note also line AP= PB { the perpendicular line bisects line OP in two equal halves}

Hence;

OP is congruent to the OQ

In maths we say something is congruent when they are the same shape and have same angles but we are allowed to flip it's side.

Diano4ka-milaya [45]3 years ago

3 0

Answer:

Step-by-step explanation:

OP = OQ

You might be interested in

Fred and Frank play a game. Fred picks an even number X and asks Frank to add all even numbers between 0 and X (inclusive) as fa

TiliK225 [7]

Answer:

The even numbers between 0 and X represents an arithmetic sequence with a common difference of 2

The rule of arithmetic sequence = a + d(n - 1)

Where a is the first term and n is the number of terms

So, for the even numbers between 0 and X

The first term = a = 0

d = 2

So, we need to find n at the last term which is X

∴ X = 0 + 2 ( n -1 )

∴ n - 1 = X/2

∴ n = X/2 + 1

The sum of the arithmetic sequence = (n/2) × (2a + (n−1)d)

Substitute with a and d and X

So, the sum = (n/2) * (2*0 + (n−1)*2)

= (n/2) * ((n−1)*2)

= n(n-1)

= (X/2 + 1) * (X/2)

= X/2 by (X/2 + 1)

So, The quick way to add all even numbers between 0 and X always works.

8 0

3 years ago

(-6,8); perpendicular to y = -3/2x -1

UNO [17]

Answer:

$y = \frac{2}{3} x + 12$

Step-by-step explanation:

$y = - \frac{3}{2} x - 1$

The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.

Thus, gradient of given line= $- \frac{3}{2}$ .

The product of the gradients of perpendicular lines is -1.

(Gradient of line)(-3/2)= -1

Gradient of line

$- 1 \div ( - \frac{3}{2} ) \\ = - 1( - \frac{2}{3} ) \\ = \frac{2}{3}$

Substitute m= $\frac{2}{3}$ into y=mx+c:

$y = \frac{2}{3} x + c$

To find the value of c, substitute a pair of coordinates.

When x= -6, y= 8,

$8 = \frac{2}{3} ( - 6) + c \\ \\ 8 = - 4 + c \\ c = 8 + 4 \\ c = 12$

Thus, the equation of the line is $y = \frac{2}{3} x + 12$ .

7 0

3 years ago

HELP what's the distance for this question?

jeyben [28]

Answer:

$Distance = 38.57ft$

Step-by-step explanation:

Given

$Base = 60$

$\theta = 50$

Required

The distance between the top and John

The distance is calculated using:

$sin\alpha = \frac{Distance}{Base}$

Where

$\alpha = 90 - \theta$ --- the angle between the diagonal line and the vertical line

$\alpha = 90 - 50$

$\alpha = 40$

So, we have:

$Sin(40) = \frac{Distance}{60}$

$Distance = 60 * sin(40)$

$Distance = 60 * 0.6428$

$Distance = 38.57ft$

$Distance = 986 * tan(38)$

$Distance = 986 * 0.7812$

$Distance = 770ft$ --- approximated

5 0

3 years ago

A 1.5 pie B 3pie C 7.5pie D. 15 pie

frozen [14]

Agreed I believe it’s c as well

3 0

3 years ago

3. Write the following equation in slope intercept form: -2x + y = 9 A.) Y = -2x + 9 B.) Y = -2x – 9 C.) Y = 2x + 9 D.) Y = 2x –

Ira Lisetskai [31]

Hey! :)

So when we write something in slope intercept form, all we're doing is solving for y. So let's do that with this equation!

-2x + y = 9

add 2x to both sides

y = 2x + 9

So C is your answer.

Please let me know if you need anything further explained!

4 0

3 years ago