DF bisects angle EDG. Find the value of x

Answer:

The distance between 2 points is 16.1 units.

Step-by-step explanation:

You have to apply distance formula using coordinates,

[tex]distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

Let (x1,y1) be (-6,2),

Let (x2,y2) be (8,10)

[tex]distance = \sqrt{ {(8 - ( - 6))}^{2} + {(10 - 2)}^{2} } [/tex]

[tex]distance = \sqrt{196 + 64} [/tex]

[tex]distance = \sqrt{260} [/tex]

[tex]distance = 2 \sqrt{65} [/tex]

[tex]distance = 16.1 \: units \: (3s.f)[/tex]

Answer:

= 40

Step-by-step explanation:

A = 1/2bh

A = 1/2 x 10 x 8

A = 1/2 x 80

A = 40

Answer: - 24√2

Step-by-step explanation: i did the math this is what i got

Hello there!

x^2 - (1/x^2)

x = 3 - 2√2 -- (1)

1/x = 1/( 3-2√2 )

= ( 3 + 2√2 ) / (3 - 2√2 )(3+2√2 )

= ( 3 + 2√2 ) / 3² - ( 2√2 )²

3^2 = 9 and 2√2 ² = 8

= ( 3 + 2√2 ) / ( 9 - 8 )

= ( 3 + 2√2) -- (2)

x - 1/x = 3 - 2√2 - ( 3 + 2√2 )

= 6

= 3 - 2√2 - 3 - 2√2

= - 4√2

x² - 1/x² = ( x + 1/x ) ( x - 1/x )

= 6 × ( - 4√2 )

6 x ( -4√2 ) = -24√2

Answer:

No.

Step-by-step explanation:

313756 is not divisible by 9 .

Easy way to find it out. - 313756

3+1+3+7+5+6 = 25

25 is not divisible by 3...so , it is not divisible by 9 too

Hope it helps you

Answer:

1. Add 5 to both sides

2. Divide both sides by 2

3. Take the square root of both sides

4. Subtract 2 from both sides

Step-by-step explanation:

2(x+2)²-5=93

Add 5 to both sides

2(x+2)²=98

Divide both sides by 2

(x+2)²=49

Square root both sides

x+2=7

Subtract 2 from both sides

x=5

Answer:

Let's solve the equation. To do this, we have to get x by itself. Perform the opposite of what is being done to the equation.

1. Add 5 to both sides, since 5 is being subtracted

2(x+2)^2-5=93

2(x+2)^2-5+5=93+5

2(x+2)^2=93+5

2(x+2)^2=98

2. Divide both sides by 2, since 2 is being multiplied

2(x+2)^2=98

2(x+2)^2/2=98/2

(x+2)^2=49

3. Take the square root of both sides, since x+2 is being squared

(x+2)^2=49

√(x+2)^2=√49

x+2=√49

x+2=7

4. Subtract 2 from both sides since 2 is being added

x+2=7

x+2-2=7-2

x=7-2

x=5

Answer:

Step-by-step explanation:

3x² -2 =3*(-3)²-2=3*9 - 2

         = 27 - 2

        = 25

Answer:

The value of the snack bar is $ 2 and that of the magazine subscription is 25 $

Step-by-step explanation:

We have a system of two equations and two unknowns, which would be the following:

let "x" be the cost of the snack bar

Let "y" be the cost of the magazine subscription

16 * x + 4 * y = 132

20 * x + 6 * y = 190 => y = (190 - 20 * x) / 6

replacing:

16 * x + 4 * (190 - 20 * x) / 6 = 132

16 * x + 126.66 - 13.33 * x = 132

2.66 * x = 132 - 126.66

x = 5.34 / 2.66

x = 2

for "y":

y = (190 - 20 * 2) / 6

y = 25

Which means that the value of the snack bar is $ 2 and that of the magazine subscription is 25 $

Answer:B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

x∈R

Step-by-step explanation:

[tex]y=2^{x}[/tex]

2>0

The domain is all real numbers.

x∈R

Answer: Because each leaf will not have a single digit.  

Step-by-step explanation:

Answer:

18/95

Step-by-step explanation:

There are a total of 20 names, 9 of which are girl names.

The probability that the first name is a girl name is 9/20.

Since there's one less girl name in the hat, there are now a total of 19 names, 8 of which are girl names.  So the probability that the second name is a girl name is 8/19.

The total probability is (9/20) (8/19) = 18/95.

Answer:

-5/3

Step-by-step explanation:

Let x be the unknown number

2-x = 1/3

Subtract 2 from each side

2-x-2 = 1/3 -2

x = 1/3 -2

Get a common denominator

x = 1/3 - 2 *3/3

x = 1/3 -6/3

x = -5/3

Answer:

5/3

Step-by-step explanation:

2 - n = ⅓

n = 2 - ⅓

n = (2×3 - 1)/3

n = 5/3

Answer:

-37/68

Step-by-step explanation:

3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4

(21/2x+6)-(1/2+2)=(3/2x-3/8)-1/4

(21/2x-1/2x)+(6-2)=3/2x-3/8-1/4

10x+4=3/2x-5/8

37/8=-17/2x

37/8 (2)=-17/2x(2)

37/4=-17x

37/68=-x

-37/68=x

Answer:

[tex] 904.32 \: {yard}^{3} [/tex]

Step-by-step explanation:

[tex] V_{sphere} = \frac{4}{3} \pi {r}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times {6}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times 216 \\ \\ = \frac{4 \times 3.14 \times 216}{3} \\ \\ = \frac{2,712.96}{3} \\ = 904.32 \: {yard}^{3} [/tex]

Answer:

y-4=3(x-1) A is correct

Step-by-step explanation:

y−y1=m(x−x1) Point slope form

y-4=3(x-1)

Hope this helps! Please mark brainliest :)

Answer: H = 30ft*cos(2*pi*t/48s + pi) + 38ft.

Step-by-step explanation:

We can use a trigonometric function to model this, let's use:

H = A*cos(w*t) +

where A is a constant, w is the frequency, t is time, and h is of the wheel, this is half the diameter plus the distance above the ground:

30ft + 8ft = 38ft.

A is equal to the radius of the wheel, or half the diameter, A = 60ft/2 = 30ft.

we know that the period is 48 seconds, this means that:

cos(w*0) = cos(w*48s) = 1

then w*48s = 2*pi

w = 2*pi/48s

so now function is:

H = 30ft*cos(2*pi*t/48s) + 38ft.

But we also know that, at t= 0, you must be at the bottom of the wheel, so we must ad a phase of pi to the cosine function

H = 30ft*cos(2*pi*t/48s + pi) + 38ft.

So now when t = 0, we have:

H(0) = 30ft*cos(0 + pi) + 38ft. = 8ft.

[tex]\rm H = 30cos \frac{2 \pi t}{48} + 38 \ ft.[/tex] is the obtained equation below model your height above the ground as a function of time.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given data;

A is a constant,

ω is the frequency

t is the passage of time

h is the wheel's height,

d is the diameter

h = d/2

The equation for the SHM is found as;

y = Acosωt

For the given condition the equation is written as;

H = Acosωt

The distance above the ground;

30ft + 8ft = 38ft.

⇒cos(ωt)

⇒cos(w × 48) = 1

⇒ω×48s = 2π

⇒w = 2π/48s

The obtained function is;

[tex]\rm H = 30cos \frac{2 \pi t}{48} + 38 \ ft.[/tex]

We must add a phase of π to the cosine function since we also know that at time t=0, you must be at the bottom of the wheel.

So now when t = 0, we have:

[tex]\rm H(0) = 30ft\times cos(0 + \pi) + 38ft.\\\\\ H(0) = 8 \ ft.[/tex]

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ5

Answer:

x = - 2, x = 7

Step-by-step explanation:

Given

f(x) = 4x² - 20x - 56

To find the zeros let f(x) = 0, that is

4x² - 20x - 56 = 0 ( divide through by 4 )

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7

Answer:

989 in^2

Step-by-step explanation:

The surface area of the larger cube is

SA = 5 s^2  because she will stain all the sides but the bottom one

SA = 5 * 11^2 = 5*121 = 605

The surface area of the smaller cube is

SA = 6s^2 since she will stain all sides

SA = 6* 8^2 =6*64 =384

Add both surface areas together

605+384

989

Answer:

989 square inches

Step-by-step explanation:

Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!

Answer:

x = −y+45

Step-by-step explanation:

Step 1: Add -2y to both sides.

Step 2: Add 8 to both sides.

Step 3: Divide both sides by 2.

Answer:

[tex]z=\frac{931-1131}{\frac{333}{\sqrt{30}}}=-3.290[/tex]  

Now we can calculate the p value using the alternative hypothesis:

[tex]p_v =P(z<-3.290)=0.0005[/tex]  

Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly less than 1131

Step-by-step explanation:

Information given

[tex]\bar X=931[/tex] represent the sample mean

[tex]\sigma=333[/tex] represent the population standard deviation

[tex]n=30[/tex] sample size  

[tex]\mu_o =1131[/tex] represent the value to check

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to verify if the true mean is less than 1131, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \geq 1131[/tex]  

Alternative hypothesis:[tex]\mu <1131[/tex]  

The statistic is given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)  

Reaplacing we got:

[tex]z=\frac{931-1131}{\frac{333}{\sqrt{30}}}=-3.290[/tex]  

Now we can calculate the p value using the alternative hypothesis:

[tex]p_v =P(z<-3.290)=0.0005[/tex]  

Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly less than 1131

Answer:

C and E

Step-by-step explanation:

Answer:

|x|=3, |-x|=3 and - |x|=-3

Step-by-step explanation:

May I please have Brainliest?

Stay safe!!!!!!!!!!!!

Answer:

What he said hope this helps

Step-by-step explanation:

The plot Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5, and 1 dot on 14.125 is given to represent the data correctly.

Linda is making a line plot of the data below.

11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12.

The measurements 12 inches equals 1 foot

The line plot shows a number line from 10 to 15 which is divided into 20 equal parts.

The dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5, and 1 dot on 14.125 are given.

If we look, there's a point at 10.5, 3 points at 11.25, a point at 12, a point at 12.5, and finally a point at 14.125.

This covers all the data provided.

Therefore option A is correct.

To learn more about the data plot visit:

https://brainly.com/question/6592115

Answer:

I’m sorry I really can’t understand the answers but I think it’s a I did it on my test I have proof down there

Step-by-step explanation:

thanks hope it helps have a nice day

Step-by-step explanation:

let's reffer to:

gumbo (x)

raspberry (y) so,

8x + 9y =14. 3 (1)

6x + 3y = 8.1 (2)

devide (2) by 3

2x + y = 2.7

y = 2.7 - 2x (3)

substitute 3 in 1

8x + 9(2.7 - 2x) = 14.3

8x + 24.3 - 18x = 14.3

10 x = 10

x = 1 (ANS)

and y = 0.7 (ANS)

Answer:

Hello There the correct answer to this is The first one is 1029.6 Because you need to multiply 8 x 9 then it will be 72 and then multiply 72 x 14.30 it will be 1029.6 it will the same the Second one is 145.8 Because you you need to multiply the first one multiply 6 x 3 which that 18 the multiply 18 x 8.10 which that will be 145.8 SO both of these answer are the same.

Hope It Helps!

ItsNobody

Step-by-step explanation:

The answer is A

Bcz In a race runs faster whoever does it in less time

Answer:

The answer would be .39

Step-by-step explanation:

So first we have to know the eqation to finding the area of a semicircle, this would be:

2r x π  ÷ 2 (r stands for radius)

Ok so since our diameter is 2 we need to divide that in half to find our radius which we would then get .5

And then you we would fill in the blanks and make our eqaution :

2 x 0.5 x 3.14  ÷ 2 which would give us the answer of .39

i have no idea if this is right so pls lmk!

Step-by-step explanation:

a) There are 4 Queens in a deck, so the probability the first card is a Queen is 4/52 = 1/13.

There are 4 10s in a deck, so the probability the second card is a 10 is 4/52 = 1/13.

The probability of both events is 1/13 × 1/13 = 1/169.

b) There is 1 Queen of Hearts in a deck, so the probability the first card is a Queen of Hearts is 1/52.

There are 4 8s in a deck, so the probability the second card is a 8 is 4/52 = 1/13.

The probability of both events is 1/52 × 1/13 = 1/676.

c) There are 4 Jacks in a deck, so the probability the first card is a Jack is 4/52 = 1/13.

There are 4 Jacks in a deck, so the probability the second card is a Jack is 4/52 = 1/13.

The probability of both events is 1/13 × 1/13 = 1/169.

d) There is 1 5 of Spades in a deck, so the probability the first card is a 5 of Spades is 1/52.

There is 1 Ace of Hearts in a deck, so the probability the first card is a Ace of Hearts is 1/52.

The probability of both events is 1/52 × 1/52 = 1/2704.

Answer:

list the squares

1x1=1

2x2=4

3x3=9

4x4=16

16  the answer because 1+6=7

hope this helps if you have any questions you can ask

Step-by-step explanation:

Answer:

4's square number : 16

5's square number : 25

32's square number : 1024

40's square number : 1600

49's square number : 2401

50's square number : 2500

Step-by-step explanation:

I might have missed a few but ...

Answer:

[tex]|JK|=3\sqrt{3}[/tex]

Step-by-step explanation:

The diagram of the triangle is drawn and attached,

From trigonometric ratios,

[tex]cos \theta =\frac{Adjacent}{Hypotenuse} \\cos60^\circ =\frac{|JK|}{|JL|}\\ 0.5=\frac{|JK|}{6\sqrt{3} }\\$Cross multiply$\\|JK|=0.5*6\sqrt{3}\\|JK|=3\sqrt{3}[/tex]

Answer:

the proof is in the picture

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because I said so