Question 1
Find mZN
620
K
N
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Answer:

[tex]b_1 \approx 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Step-by-step explanation:

Given

[tex]Area = 65cm^2[/tex] --- Area of the triangle

[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid

The missing parameters is:

[tex]h=6 cm[/tex] --- Trapezoid height

Required

Determine b1 and b2

Since the areas of the trapezoid and the triangle are the same, then:

[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]

So, we have:

[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]

Substitute[tex]b_2 = 2b_1[/tex]

[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]

[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]

[tex]65 = 3b_1 * 3[/tex]

[tex]65 = 9b_1[/tex]

Solve for [tex]b_1[/tex]

[tex]b_1 = \frac{65}{9}[/tex]

[tex]b_1 \approx 7.2[/tex]

Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]

[tex]b_2 \approx 2 * 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Answer:

3.5ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

You meant x^2, right?

We get the graph of g(x) through two transformations of the graph of f(x):  

1.  Reflect the graph of f(x) about the x-axis.

2. Translate the graph obtained in (1) 2 units down.

Answer: The pool table is rectangle, so we assume it with Length a feet and b feet, respectively.

So area=a*b=24 square feet

perimeter=2(a+b)= 22 feet

then we calculate with this two equation to get a and b.

because  a+b=11, then a=11-b, we put this into a * b=24

then we get (11-b)*b=24,  

b^2-11b+24=0

b=3 feet or b=8 feet

then we can get a by a=11-b, if b=3, then a=8; if b=8, then a=3.

so the dimension of the pool table is 3 feet and 8 feet

HOPE THIS HELPS

Answer:

C.

Step-by-step explanation:

Though the story is also about A, B, and D, the overall story is about C. The story begins with the enchanter turning the eldest and second eldest brothers into an Eagle and Whale, though the youngest escapes. He then goes to the castle to free the cursed princess, and to do so he needs to find a crystal ball. If I remember correctly, the ball will also save the brothers.

ITS C

for the iready question it is C youngest brother tryna find the balls, i got it right

Answer:

C. Leaning tower of Pisa and C. at about the same time as the lighter objects

Step-by-step explanation:

Answer:

Leaning Tower of Pisa

at about the same time as the lighter objects

Step-by-step explanation:

100 on edge

Answer:

Finite set: A set is said to be a finite set if it is either void set or the process of counting of elements surely comes to an end is called a finite set.

In a finite set the element can be listed if it has a limited i.e. countable by natural number 1, 2, 3, ……… and the process of listing terminates at a certain natural number N.

The number of distinct elements counted in a finite set S is denoted by n(S). The number of elements of a finite set A is called the order or cardinal number of a set A and is symbolically denoted by n(A).

Thus, if the set A be that of the English alphabets, then n(A) = 26: For, it contains 26 elements in it. Again if the set A be the vowels of the English alphabets i.e. A = {a, e, i, o, u} then n(A) = 5.

Step-by-step explanation:

1+2+3+4+5+6..........23+24+25=325

Answer:

3.65

Step-by-step explanation:

Answer:

2, 3, 5, 7

Step-by-step explanation:

They are all prime

Answer: 2,3,7,5

Step-by-step explanation:

2 is an exeption for a prime number but 3,7,5 are only diviusible by 1 and itself

Answer:

(- 4, - 3 )

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

For

g(x) = f(x) + 3

This is the graph of f(x) shifted 3 units up

Given the vertex of f(x) = (- 4, - 6 ), then

vertex of g(x) = (- 4, - 6 + 3) = (- 4, - 3 )

Answer:

150

Step-by-step explanation:

0.90x=135

x=135/0.90

x=150

Answer: Can I see a better pic?

Step-by-step explanation:

Answer: D and C

Step-by-step explanation:

Answer:

AE = 9 units

Step-by-step explanation:

Based on the centroid theorem:

AX = ⅔ of AE

Given that AX = 6 units, where X is the centroid of ∆ABC, therefore:

6 = ⅔ of AE

6 = ⅔(AE)

Multiply both sides by 3

6*3 = ⅔(AE)*3

18 = 2(AE)

Divide both sides by 2

18/2 = AE

9 = AE

AE = 9 units

Answer:

x=-0.6

Step-by-step explanation:

-3x-3=-1

-3x=-1+3

-3x=2

x=-2/3

Answer:

1.25

Step-by-step explanation:

Answer:

Se utilizan 31 cajas verdes y 62 cajas naranjas, 125 cajas azules y 250 bolsas

Step-by-step explanation:

La pregunta es un problema verbal

Los parámetros dados son;

El número de caravanas por bolsa = 2 caravanas

El número de bolsas en una caja azul = 2 bolsas

El número de cajas azules en una caja naranja = 2 cajas azules

El número de cajas naranjas en una caja verde = 2 cajas naranjas

Por lo tanto;

El número de caravanas en una caja azul = 2 bolsas = 2 pares = 4 caravanas

El número de caravanas en una caja naranja = 2 × 4 caravanas = 8 caravanas

El número de caravanas en una caja verde = 2 × 8 caravanas = 16 caravanas

Por tanto, si la fábrica fabrica 500 caravanas, tenemos;

El número de casillas verdes utilizadas = 500/16 = 31,25 = 31 casillas verdes

El número de cajas naranjas utilizadas = 500/8 = 62 cajas naranjas

El número de cajas azules utilizadas = 500/4 = 125 cajas azules

El número de bolsas utilizadas = 500/2 = 250 bolsas

Answer: 90

Step-by-step explanatio

Answer:

the angle measure for angles T and V would be 127 because they are on opposite locations from each other. the angles S and U would 53 because T and U are coplemantery angles (180 degrees) so you subtract. 180-127 to get 53. To find x, on angle S, we simply subtract 1 from 53 (53-1) and divide the answer by 2. To find the lengths of the sides, put them next to each other and separet

them by an equal sign. subtract 3y from both sides of the equation and add 5 to both sides of the equation to get 3y=12. then divide 12 by 3 to get 4 so y=4. Then, simply replace the y with a 4 and solve the equations of the sides.

Answer:

f(x) = 4x^2 - 13

Step-by-step explanation:

f(x)=4(x-2)^2 + 3 parentaties first

f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties

f(x) = 4x^2 - 16 + 3 combine light terms

f(x) = 4x^2 - 13 Answer

Hope I helped :)

Answer:

Step-by-step explanation:

[tex]a_{n}=a_{1}+(n-1) d\\n=9\\12=0+(9-1)d\\8d=12\\d=\frac{12}{8}=\frac{3}{2}\\again\\27=0+(n-1)*\frac{3}{2}\\n-1=27*\frac{2}{3}=18\\n=18+1=19[/tex]

Answer:

2513.27  my dear check if correct

Step-by-step explanation:

Answer:

it 628 i hope that helps you

Step-by-step explanation:

Answer:

roots:  2 ± (1/2)√42

                                                                  -8

axis of symmetry:  x = -b/(2a)  is  x = ---------------- = 2

                                                                 2(-2)

vertex:  (2, f(2) ) = (2, -2(2)^2 + 8(2) + 13 ), or (2, 21)

Step-by-step explanation:

First, let's determine the roots of this quadratic, using the quadratic formula.  Here the coefficients are -2, 8, 13.

Thus, the discriminant b^2 - 4ac is 8^2 - 4(-2)(13), or 64 + 104, or 168.  Because the discriminant is positive, we know that there are two different real roots.

They are:

        -8 ± √168                       -8 ± 2√42

x = ---------------------  or  x =  ---------------------  =  2 ± (1/2)√42

               -4                                     -4

Answer:

SAS

Step-by-step explanation:

in two triangles

if EC=DC

AC =BC

M<ECA =M<DCB "V.O.A"

THEN triangle ACE = triangle BCD

Answer:

1725

Step-by-step explanation:

40 is the number of the slope the height is 30.

Answer:

-60

Step-by-step explanation:

residual = actual - predicted = 570 - 630 = -60