Use the diagram.
What is the length of }EG ?
A 1 B 4.4
C 10 D 16

Answer:

Step-by-step explanation:

x = length of screen

x-4 = width of screen

x² + (x-4)² = 20²

x² + (x²-8x+16) = 400

2x² - 8x - 384 =  0

x² - 4x - 192  = 0

use the quadratic formula to solve for x

x = [4 ± √(4²-4·1(-192))]/[2·1]

= [4 ± √784]/2

= 4 ±  28]/2

= 16, -12

-12 is an extraneous solution, so x = 16 inches.

:::::

Exponents need to be marked with a ^. For example, (x-4)² can be written (x-4)^2.

Answer:

x = 16

Step-by-step explanation:

The answer above is correct.

Answer:

5x

Step-by-step explanation:

3x+2x

Combine like terms

x(3+2)

x(5)

5x

Answer:

5x

Step-by-step explanation:

3x + 2x

Step 1 :- Calculate like terms by adding their coefficient.

Step 2 :- Combine like terms.

Step 3 :- Multiply ; 5 times x.

Answer:

The height of the pyramid is 6 cm.

Step-by-step explanation:

The volume of a square pyramid is given by:

[tex] V = \frac{1}{3}A_{b}h = 72 cm^{3} [/tex]

Where:

[tex]A_{b}[/tex]: is the area of the base

h: is the height

Since the base edge length is equal to the height, the area of the base is:

[tex]A_{b} = l^{2} = h^{2} [/tex]

Hence, the height is:

[tex] 72 cm^{3} = \frac{1}{3}A_{b}h = \frac{1}{3}h^{2}h [/tex]

[tex] h = (3*72 cm^{3})^{1/3} = 6 cm [/tex]

Therefore, the height of the pyramid is 6 cm.

I hope it helps you!          

Answer:

The polynomial simplifies to an expression that is a  

quadratic  trinomial  with a degree of  2 .

Step-by-step explanation:

trial and error

Answer:

Have a great rest of your day :)

Step-by-step explanation:

Answer:

a (26+10)-2 =34

b (34+42)-42 = 34

c ( 39+40)-45 =34

d (52+25)-43 =34

e(25+22)-13 =34

f (47+11)-24 =34

g(59+19)-35 =34

h (71 +7)-44= 34

solved

Answer:

Job B

Step-by-step explanation:

If we calculate her salary after 10 years

For job A:

it would be 40,000+10,000=$50,000

For job B:

it would be $75,562.3749

Step-by-step explanation:

For the 1st picture,

The 2nd option is the answer.

Let say we have

[tex] a_{3}[/tex]

Replace it into the recursive formula.

[tex] a_{3} = a_{3 - 2} + (a) _{3 - 1}[/tex]

We are given a,1 and a,2 so the 3rd terms has to be

[tex]2[/tex]

So the second option is the answer.

For the second picture, a geometric sequence is a group of terms that has the same ratio between each consecutively.

Infinite means going on forever

The fourth option is the answer.

Answer:

1,1,2,3,5

part #2 none are exactly correct... the terms go on forever, so 1 &2 are out...

the "difference" is definitely not the same, so three is out..

4 is the closest, but the ratio is not the same, there is a trend in the ratio..

this is the Fibonacci sequence, and the ratio trends toward the "golden ratio" ( φ -phi) but never is exactly φ because φ is irrational

Step-by-step explanation:

Answer:

the right side of the image is truncated,

but "A" seems to be the answer....

take (2,3) and (3,4)

#1) y2-y2/x2-x1 ... 4-3/3-2 = 1 ... slope = 1

#2 ) y = 1x + b

#3 plug in (2,3) ... 3 = 1(2) + b ... B=1

#4 Y= 1 x + 1

Step-by-step explanation:

Answer:

5 meters traveled in distance.

Step-by-step explanation:

Since we are finding the distance of a frog traveling ? distance in 25 mins, we can substitute t for 25. If we do, 0.2 x 25 = 5, d = 5.

Hope this helps!

Step-by-step explanation:

7+3+2+1+13+8+1+5+14+11+15= 80(total scores)

number of scores is 11, then divide 80 by 11

ans=7.27

Step-by-step explanation:

B. The air pressure will rise.

hope this helps you

have a nice day

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

180 - 37 = x angles on a straight line

x = 40

180 - 40 = y angles on a straight line

y = 140

180 - 140 = z angles om a straight line

z = 40

Answer:

40

Step-by-step explanation:

The sum of measure of exterior angles is equal to 360

5x-20+2x+5+x+15+x = 360 add like terms

9x = 360 divide both sides by 9

x = 40

Answer:

-4/5

Step-by-step explanation:

sin theta = opp/ hyp

sin theta = -3 /5

Using the Pythagorean theorem

opp ^2 + adj ^2 = hyp ^2

(-3) ^2 + adj ^2 = 5^2

9+ adj ^2 = 25

adj ^2 = 25 - 9

adj ^2 = 16

Taking the square root of each side

adj = ±4

Since we are in the 3rd quadrant  sin and cos are both negative so adj must be negative

adj = -4

cos theta = adj / hyp

cos theta = -4/5

Answer:

2/5 is the answer man ooooo

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

So when you have a negative exponent, it means reciprocal.

[tex]5^{-2}[/tex] will now be [tex]\frac{1}{5^2}[/tex]

Now find the squared 5. 5 * 5 is 25.

So, your answer is 1/25

Hope this helps !!

-Ketifa

Answer:

(-2,3)

Step-by-step explanation:

For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1

Now, we can use the internal section formula to get the coordinates of this point

(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

where (m,n) = (2,1)

(x1,y1) = (-4,-1)

(x2,y2) = (5,5)

(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)

(x,y) = (-4-2)/3, (-1 + 10)/3

(x,y) = (-2,3)

[tex]\huge\underline\gray{✏ANSWER}[/tex]

[tex] \frac{6}{7} [/tex]

I hope it helps!

#BrainliestBunch

La pregunta está incompleta ya que no se da el costo de la colocación de baldosas por m².

Suponga que el costo de los mosaicos por m² = c

Respuesta:

39.06c

Explicación paso a paso:

El costo del embaldosado será:

El costo por m² * área total a embaldosar

Dado que :

La dimensión de la habitación a embaldosar es:

Longitud = 9,30 metros

Ancho = 4.20 metros

El área total de la habitación a embaldosar es = Largo * ancho

Área total de la habitación a embaldosar = 9,30 m * 4,20 m

Superficie total de la habitación a embaldosar = 39,06 m²

Si el costo del mosaico por m² = c

El costo de embaldosar la habitación será:

39,06 * c = 39,06c

Answer:

67 adult  tickets were sold that day

Step-by-step explanation:

x= Number of adults that day, y=Number of children that day

ATQ, x+y=156 and 5.2*x+9*y=1065.8. Solving it, we will get x=89 and y=67

Answer:

4

Step-by-step explanation:

B = (6,5)              C = (6,9)

√(x2 - x1)² + (y2 - y1)²

√(6 - 6)² + (9 - 5)²

√(0)² + (4)²

√16

= 4

Answer:

608

Step-by-step explanation:

32 x 19

= 32 x ( 10 + 9 )

= 320 + 288

= 608

Answer:

The formulas are functionally the same, but 'n' (the sample size) is used instead of 'N' (the population size).

Step-by-step explanation:

The sample mean is the average value for a set of observations which is derived from a population. While the population mean is the average value for the entire set of observation belonging to a particular study of interest.

The set of observation belonging to a population is denoted by 'N' ; while the sample size is denoted as 'n' :

The mean formula is written thus :

Population mean = Σx / N

Sample mean = Σx / n

Where, x = set of values.

Answer:

B

Step-by-step explanation:

r=3 in

h=8 in

Volume of funnel

[tex]V=\frac{1}{3}\pi r^2h\\=\frac{1}{3} \times 3.14 \times 3^2 \times 8\\=75.36 in.^3\\time ~taken~to~drip out=\frac{75.36}{15}\\\approx 5.02~minutes.[/tex]

Answer:

5.02 is right

Step-by-step explanation:

i hope this helps

Answer:

64

Step-by-step explanation:

This is actually really easy you just have to subtract 36 from 100

Hope this helps also please mark brainliest

Answer:

(x+3)(x+4)(x-4)

x+2 and x-3 are not factors but x-4 is

Step-by-step explanation:

let's factor it :)

x^3 + 3x^2 - 16x -48

first we will factor this:

x^3 + 3x^2

x^2(x + 3)

then factor the second part :

- 16x - 48

-16(x + 3)

so now,

x^2(x + 3) - 16(x + 3)

factor out x+3

(x+3)(x^2 - 16)

factor x^2 - 16

(x+3)(x+4)(x-4)

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

[tex]a_n=a_1+d(n-1)[/tex] and we are given enough info to fill in:

[tex]a_n=-35+4(n-1)[/tex] and

[tex]a_n=-35+4n-4[/tex] and

[tex]a_n=-39+4n[/tex] or in linear format:

[tex]a_n=4n-39[/tex] where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

[tex]a_2=4(2)-39[/tex] so

[tex]a_2=8-39[/tex] and

[tex]a_2=-31[/tex]

The third term:

[tex]a_3=4(3)-39[/tex] and

[tex]a_3=12-39[/tex] so

[tex]a_3=-27[/tex] and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

[tex]a_5=4(5)-39[/tex] and

[tex]a_5=20-39[/tex] so

[tex]a_5=-19[/tex]

Answer:

The expression "Keep body and soul together" is an idiom, a well-known phrase or collection of words that together mean something distinctly.

Answer:

A and E are correct congruence statements.

Answer:

A E

Step-by-step explanation:

Answer:

Reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit

Step-by-step explanation:

The general form of the straight line equation is, y = m·x + c

Where;

m = The slope

c = The y-intercept

The parent function is, f(x) = x

The slope of the parent function, m₁ = 1

The y-intercept of the parent function, c₁ = 0

The x-intercept of the parent function = 0

The equation of the given function g(x) is derived as follows;

Two points on the line g(x) are (-2, 5) and (1, -4)

The slope of g(x), m₂ = (-4 - 5)/(1 - (-2)) = -3

The equation of g(x) is therefore;

y - 5 = -3 × (x - (-2)) = -3·x - 6

∴ y = -3·x - 6 + 5 = -3·x - 1

y = -3·x - 1

The slope of the given function, m₂ = -3

The y-intercept of the given function, c₂ = -1

The x-intercept of the function = -1

We have that a reflection of (x, y) across the y-axis gives (-x, y)

Therefore, the function g(x) is a reflection of f(x) across the y-axis

The slope of g(x) = -3 × The slope of f(x), therefore, g(x) is obtained by a vertical stretch of of f(x) by a factor of 3

The y-intercept of g(x) is lower than the y-intercept of g(x) by -1, therefore, f(x) is shifted down vertically by 1 unit to obtain g(x)

Therefore, the sequence of transformation that can be used to obtain g(x) from the parent function f(x) are;

Reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit