find the value of given expression
[tex] \sqrt{200 \div 2} [/tex]
​

Step-by-step explanation:

[tex] \tan(45) = \frac{x}{13} \\ 1 = \frac{x}{13} \\ x = 13[/tex]

[tex] \cos(45) = \frac{13}{y} \\ 2 \sqrt{2} = \frac{13}{y} \\ 2y \sqrt{2} = 13 \\ y = \frac{13}{2 \sqrt{2} } [/tex]

37.5 degrees

we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.

The measure of angle ∠DBC is,

⇒ ∠DBC = 35.5°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Point D is in the interior of ∠ABC.

And, ∠ABD = (3x + 22)°

⇒ ∠DBC = (x - 4)°

Clearly, Both angle make a linear pair.

Hence, We get;

⇒ ∠ ABD + ∠DBC = 180°

⇒ (3x + 22) + (x - 4) = 180°

⇒ 3x + 22 + x - 4 = 180

⇒ 4x + 18 = 180

⇒ 4x = 180 - 18

⇒ 4x = 162

⇒ x = 162/4

⇒ x = 40.5

Hence, The measure of angle ∠DBC is,

⇒ ∠DBC = (x - 4)°

⇒ ∠DBC = (40.5 - 4)°

⇒ ∠DBC = 35.5°

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Answer:

88m of fencing

Step-by-step explanation:

the cicumference of the garden is what we are looking out for,

and with the raduis .ie.14m

C=2πr

C=2•22/7•14

C=88m

Answer:

I believe it is 2

Answer: 1.35

Step-by-step explanation:

Answer:

1.35

Step-by-step explanation:

We need to identify our independent variables and dependent variables.

The number of papers graded depend on the amount of time.

The amount of time is the independent variable

The papers graded depends us the dependent variable

Divide the independent variable by the dependent variable to find papers per minute

For Ms.Mitchell the papers per minute is

For Mr.Rector, the papers per minute is

Subtract 2.4 from 3.75.

The answer is 1.35

Answer:

D i did the test and got a 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x=75

Step-by-step explanation:

Okay so the sum of the angles inside this figure is

(6-2)*180=4*180=720

now, we can find 4 of the interior angles becuase they are supplementry.

180-54=126

180-51=129

There are two of each so we can just do 2(126)+2(129)=252+258=510

That means the two remaining angles that are supplementary to x equal to 510. they are equal, so we know the interior angles equal 720-510=210/2=105

Since the angles are supplementary, x=180-105=75

BTW: Supplementary angles are angles that equal to 180 degrees.

Answer:

multiply its height by its width or  use this: Area of a trapezoid is found with the formula, A=(a+b)/2 x h. aka base plus base times the height

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

since 5 is constant so you can take it out from the summation

Answer:

Slope is 2

Step-by-step explanation:

(-2, -4) and (2, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4+4)/(2+2)

m=8/4

m = 2

The question is incomplete. The complete question is :

A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 7800 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 80-kilogram crates that can be loaded onto the shipping container?

Solution :

Given data :

Weight of the crate = 40 kg

Greatest weight that the container can load = 23000 kg

Weight of the other shipments on the container = 7800 kg

So the greatest number of 40 kg crates = c

Therefore, the weight of the other shipment + weight of crate x number of crates ≤ greatest weight of the container

7800 + (40 x c) ≤ 23000

7800 + 40c ≤ 23000

40c ≤ 23000 - 7800

40c ≤ 15200

c ≤ 380

Hence, the maximum number of 40 kg crate is 380.

Answer:

9

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

slopes in parallel are equal

Answer:

3

Step-by-step explanation:

Evaluate F(x) = –x^2 – 4x by substituting -1 for x:

              F(-1) = –(-1)^2 – 4(-1)

This becomes:

               F(x) = –1 + 4  =  3

Answer:

y = -[tex]\frac{5}{3}[/tex] x -2

Step-by-step explanation:

The line is going down to the right so it has the negative slope, with a y- intercept of (0, -2) and a slope of m = rise/run = -5/3

Answer:

1) how many 1/4's are in 2/3 = 8/3

2) how many 5/12's are in 1/2?=6/5

Step-by-step explanation:

Answer:

x = 9

y = 5

Step-by-step explanation:

<N and < M are opposite equal sides. So they are equal as well. In addition, the base is equal to the other 2 sides. That means you are dealing with an equilateral triangle. All the angles are equal to 60 degrees.

7x - 3 = 60 degrees     Add 3 to both sides

      3      3

7x = 63                         Divide by 7

x = 63/7

x = 9

Just for the sake of completeness, we'll find y

11y + 5 = 60                 Subtract 5 from both sides

     -5      -5

11y = 55                       Divide by 11

y = 55 /11

y = 5

The correct answer will be option (3) Median > Mean

The steps are as follow:

[tex]x \: = \frac{4 + 8 + 5 + 12 + 3 + 9 + 5 + 2}{8} \\ x = 6[/tex]

[tex][tex]m = \frac{ { (\frac{n}{2}) }^{th} obs + ( { \frac{n}{2} + 1)}^{th} obs }{2} \\ m= \frac{ { (\frac{8}{2}) }^{th} obs + ( { \frac{8}{2} + 1)}^{th} obs }{2} \\ m= \frac{ { (4) }^{th} obs + ( { 5)}^{th} obs }{2} \\ m= \frac{ { 5} + 5}{2} \\ m = 5[/tex][/tex]

So the correct answer will be option (3) Median > Mean

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Answer:

Tn=a(n-1)d

T50=261(50-1)-5

T50=12784

Answer:

A

Step-by-step explanation:

I said so

Answer:

C. They are similar triangles.

Step-by-step explanation:

they have the same angle measures, but not the same side lengths. so they are similar but not congruent.

Answer:

it would be 66 I hope this helps.

Answer: 90% of students did NOT choose history.

Step-by-step explanation:

Art - 32.5%

Spanish - 7.5%

ELA - 10%

Math - 15%

Science - 25%

When added altogether each subject equals 90%, leaving the other 10 percent history. 90% is our answer since that is the number of people that voted for subjects other than history.

Hope This Helped, Have A Great Day!

Answer:

-4

Step-by-step explanation:

y = mx + b

Answer:

-4

Step-by-step explanation:

y=mx+b

m is slope

b is y-intercept

So you line y=mx+b and y=-4x-8

-4 is replacing m so -4 is the slope

Hope this helps!

Answer:

The answer is A.

Step-by-step explanation:

First, you have to solve the inequality :

[tex]4 - 3x < - 2[/tex]

[tex] - 3x < - 2 - 4[/tex]

[tex] - 3x < - 6[/tex]

[tex]x > - 6 \div - 3[/tex]

[tex]x > 2[/tex]

Therefore, x > 2, so only option A is suitable for the x values.