Given circle O below, if arc AB and arc CD are congruent, what is the measure of angle COD?

Solution given:

it is a right angled isosceles triangle

so

perpendicular [p]=base[b]=5

hypotenuse [h]=x

we have

by using Pythagoras law

p²+b²=h²

5²+5²=h²

50=h²

h=[tex]\sqrt{50}[/tex]

x=[tex]\bold{5\sqrt{2}}[/tex]

Answer:

v=1/2(13.1+25.4)(17)(15)

v=1/2(38.5)(255)

v=4,908.7 ft³

OAmalOHopeO

Answer:

V = 20 cm^3

Step-by-step explanation:

The volume of a prism is

V = l*w*h

V = 6*5*2/3

V = 20 cm^3

Step-by-step explanation:

hope it helps you.........

Answer:

[tex]x_{1}[/tex] = [tex]\frac{\pi }{6}[/tex] and [tex]x_{2}[/tex] = [tex]\frac{5\pi }{6}[/tex]

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

3 to the power of 4 equals 81 times 3 equals 243

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

* means multiply

put 8 where the x is

6 * 8 - 4

48 - 4

44

Answer:

[tex]2x - 35273 = 5361925 \\ 2x = 5361925 + 35273 \\ 2x = 5397198 \\ x = \frac{5397198}{2} \\ x = 2698599[/tex]

[tex]\displaystyle\ 2x-35273=5361925\\\\2x=53\underline{61925}+\underline{35273} \\\\2x=5397198\\\\\\x=\frac{5397198}{2} =2698599\\\\\underline{x=2698599\qquad }\\\\2\cdot 2698599-35273=5361925\\\\5397198-35273=5361925\\\\5361925=5361925[/tex]

Answer: A.Spreads: The weights of the tigers are more spread out.

B.Centers:The leopards have a lower median weight than the tigers

Step-by-step explanation:

On analyzing the dot plots, we find that the weight of Leopards are more spread out and the weight of Leopards has a lower median than Tiger.

Median is a statistical measure that determines the middle value of a dataset listed in ascending order. The measure divides the lower half from the higher half of the dataset.

Median of Weight of Leopard = 50 kg

Median of Weight of Tiger = 125 kg

This implies that the Leopards have a lower median weight than Tigers.

What is spread of data?

Spread describes the variation of the data. One of the measures of spread is range.

Range of weight of Leopards= 40 kg

Range of weight of Tigers = 90 kg

This implies that the weight of Tigers are more spread out.

Learn more about median here

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Answer:

0.003 miles per hour

Step-by-step explanation:

Well since 5280 feet gives 1 mile den convert 17.6 feet per sec to miles per hr

Step-by-step explanation:

Step 1: The factors of -60 that add up to -11 are -15 and 4.

Step 2:

[tex]( 6{x}^{2} - 15x)( 4x - 10)[/tex]

Step 3:

[tex]3x(2x - 5) + 2(2x - 5)[/tex]

[tex](3x + 2)(2x - 5) [/tex]

Answer:

The Himalayas are still rising by more than 1 cm per year as India continues to move northwards into Asia, which explains the occurrence of shallow focus earthquakes in the region today. However the forces of weathering and erosion are lowering the Himalayas at about the same rate.

Step-by-step explanation:

we can tell that the himalayas are still rising because of the movement of india northwards into asia,so the more india moves to the north the more the himalayas rise by more than 1cm.

Answer:

a. -2

c. -1

Step-by-step explanation:

these are the only values for x, where the 2 equations deliver the same y value.

in case of a. y = -2×-2 - 1 = 4 - 1 = 3

and y = 3¹ = 3

c. y = -2×-1 - 1 = 2 - 1 = 1

y = 3⁰ = 1

Answer:

The 3rd:

f(x) = (x - 1)(x - 1)(x – 6)

Step-by-step explanation:

Its roots are the x-values for which f(x)=0, that are:

x1=1

x2=1

x3=6

Answer:

I've attached a picture of a unit circle with the quadrant labeled.

Calculate the degree of 5п 8 radians:

[tex]\frac{5\pi }{8} =\frac{5*180}{8} =\frac{900}{8} =112.5[/tex]

Locate the general location of 112.5° on the unit circle:

It's between 120°([tex]\frac{2\pi }{3}[/tex]) and 90°([tex]\frac{\pi }{2}[/tex]).

Find the quadrant it lies in:

Quadrant II

Answer:

Option no. D is right. Because the congruence presented is more congruent

Answer : I think it is 10899

Answer:

She will need 41.22 meters.

Step-by-step explanation:

She knows that one leg of the triangle is 11 meters long and that the angle formed by that leg and the hypotenuse is 50 degrees .

The leg is adjacent to the hypothenuse. We know that the cosine of an angle [tex]\theta[/tex] is given by:

[tex]\cos{\theta} = \frac{l}{h}[/tex]

In which l is the length of the adjacent side and h is the hypothenuse.

Considering that we have [tex]\theta = 50, l = 11[/tex], we can find the hypothenuse.

Looking at a calculator, the cosine of 50 degrees is 0.6428.

So

[tex]0.6428 = \frac{11}{h}[/tex]

[tex]0.6428h = 11[/tex]

[tex]h = \frac{11}{0.6428}[/tex]

[tex]h = 17.11[/tex]

The other leg:

In a right triangle, with legs [tex]l_1[/tex] and [tex]l_2[/tex], and hypothenuse h, the pythagorean theorem states that:

[tex]l_1^2 + l_2^2 = h^2[/tex]

We already have one of the legs and the hypothenuse, so:

[tex]11^2 + l^2 = 17.11^2[/tex]

[tex]l^2 = 17.11^2 - 11^2[/tex]

[tex]l = \sqrt{17.11^2 - 11^2}[/tex]

[tex]l = 13.11[/tex]

How many meters will she need?

This is the perimeter of the garden, which is the sum of its dimensions, of 11 meters, 13.11 meters and 17.11 meters. So

[tex]P = 11 + 13.11 + 17.11 = 41.22[/tex]

She will need 41.22 meters.

Answer:

I know that the Perimeter is 4000. So, 4000=L+2w because we are not using on of the lengths.

What I did is inputed 4000-2x in for L, but I got 0. What do I do?

Step-by-step explanation:

it just is I think it should be

Answer:

[tex]\displaystyle \frac{\tan\theta}{\sec\theta - \cos\theta} = \frac{1}{\sin\theta} = \csc\theta[/tex]

Step-by-step explanation:

We have the expression:

[tex]\displaystyle \frac{\tan\theta}{\sec\theta - \cos\theta}[/tex]

And we want to write the expression in terms of sine and cosine and simplify.

Thus, let tanθ = sinθ / cosθ and secθ = 1 / cosθ. Substitute:

[tex]=\displaystyle \frac{\dfrac{\sin\theta}{\cos\theta}}{\dfrac{1}{\cos\theta}-\cos\theta}[/tex]

Multiply both layers by cosθ:

[tex]=\displaystyle \frac{\left(\dfrac{\sin\theta}{\cos\theta}\right)\cdot \cos\theta}{\left(\dfrac{1}{\cos\theta}-\cos\theta\right)\cdot \cos\theta}[/tex]

Distribute:

[tex]\displaystyle =\frac{\sin\theta}{1-\cos^2\theta}[/tex]

Recall from the Pythagorean Theorem that sin²θ + cos²θ = 1. Hence, 1 - cos²θ = sin²θ. Substitute and simplify:

[tex]\displaystyle =\frac{\sin\theta}{\sin^2\theta} \\ \\ =\frac{1}{\sin\theta}[/tex]

We can convert this to cosecant if we wish.

Answer:

ok ok ok ok ok ok ok

Step-by-step explanation:

10x - 5y = 40

-5y = -10x + 40 || : (-5)

y = 2x - 8

Answer:

SAS

Step-by-step explanation:

As per the given diagram, the following facts are evident.

(BR) = (CR), Both sides have two small orange lines on them. This shows that these sides are congruent.

(<B) = (<C), this is shown by the box around both angles, indicating that both angles have a measure of (90) degrees.

(AB) = (AC), Both sides have one small orange line on them. This indicates that these sides are congruent to each other.

Therefore, the sides are congruent by the theorem (SAS); side-angle-side, congruence.

Answer: C= 1,090 and the W= 5.

4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?

a. What are they asking for?

how big was the original group?

b. identify all the necessary numbers.

28,5

c. write the equation or problem in numeric form.

x=28*5

d. solve the math.

x=140

e.write the answer

. the original group contains 140 people.

5. If he difference is 589 and the subtrahend is 339,what is the minuend?

a. What are they asking for?

what is the minuend?

b. identify all the necessary numbers.

589,339

c. write the equation or problem in numeric form.

x=589-339

d. solve the math.

x=250

e.write the answer.

minuend=250

6. If the quotient is 17 and the dividend 765, what is the divisor?

a. What are they asking for?

what is the divisor?

b. identify all the necessary numbers.

17,765

c. write the equation or problem in numeric form.

x=765/17

d. solve the math.

x=45

e.write the answer.

divisor is 45.

4. Solution

a. How big was the original group?

b. 28 and 5

c. x = 28×5

d. x = 140

e. There are 140 people in original group.

5. Solution

a. What is the minuend?

b. 589 and 339

c. x = 589-339

d. x = 250

e. The minuend is 250.

6. Solution

a. What is the divisor?

b. 17 and 765

c. x = 765/17

d. x = 45

e. Hence, 45 is the divisor.

Answer:

A. 96.0 square units

Step-by-step explanation:

The formula for the area of a triangle when we know the side length of two sides and the measure of an included angle of a triangle is given as:

A = ½*a*b*Sin C

Where,

a = 13

b = 15

C = 80°

Plug in the values into the formula

A = ½*13*15*Sin 80

A = 96.0187559

A = 96.0 square units (nearest tenth)

Answer:A

Step-by-step explanation: I took the test

Given:

S.P. = 315

Loss percent = 10%

To find:

The C.P.

Solution:

Let x be the C.P.

We have,

S.P. = 315

Loss percent = 10%

[tex]S.P.=C.P.-10\%\text{ of }C.P[/tex]

[tex]315=x-\dfrac{10}{100}x[/tex]

[tex]315=x-0.1x[/tex]

[tex]315=0.9x[/tex]

Divide both sides by 0.9.

[tex]\dfrac{315}{0.9}=x[/tex]

[tex]350=x[/tex]

Therefore, the cost price (C.P.) is 350.