Multiply the binomials: (8a - 3b) (3a - 8b)

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

Answer:

31.525

Step-by-step explanation:

first you calculate the tip, 0.18*25 is 4.5

then you calculate the tax, 0.081*25 is 2.025

finally you add everything together, 25+4.5+2.025 is 31.525

Answer:

answer is D.Y=>X^2-3

Step-by-step explanation:

use desmos . com and go to graphing calculator. plug formula in.

Answer:

b

Step-by-step explanation:

okidoki

Answer:

1520.53

Step-by-step explanation:

The volume of a cylinder is V = pi r^2 h

So you put 16 as the h and half of 11 because 11 is the diameter as r.

V= pi (5.5)^2 * 16

We can also approximate pi and put 3.1415

V= 3.1415 * (5.5)^2 * 16

V = 3.1415 * 30.25 * 16

V= 1520.486

And that is closest to the 3rd option 1520. 53 so that's the answer.

nothing is shown as far as I can tell

edit: but the inner angles of a regular pentagon should always be 120°. maybe it helps

Step-by-step explanation:

can see any photo concerning the angle

Answer:

The average rate of change over the interval is 120

Step-by-step explanation:

For a function f(x) the average rate of change over an interval [a,b] is given as;

f(b)-f(a)/b-a

in this case, a is 2 and b is 4

f(b) is 256 and f(a) is 16

Substituting these values in the equation for rate of change, we have;

(256-16)/(4-2) = 240/2 = 120

Answer:

The side of square A is 30 cm.

Step-by-step explanation:

Given that,

The dimensions of square A are three times the dimensions of square B.

The area of square A is 900 sq cm.

Side of square A = 3( side of square B)

Let the side of square B is b. So,

Side of square A, a = 3b

We know that, the area of square is side². So,

[tex](3b)^2=900\\\\9b^2=900\\\\b^2=100\\\\b=10\ cm[/tex]

Side of square A, a = 3(10) = 30 cm

Hence, the side of square A is 30 cm.

Answer:

192

Step-by-step explanation:

16^2+b^2= 20^2

256+b^2=400

b^2=144

b= 12

height = 12

1/2bh= Area of a triangle

12*32=384

384/2= 192

Answer:

[tex]9+4^2\div 2^3\tems*3[/tex]

[tex]9+2^4\div8*3[/tex]

[tex]9+2*3[/tex]

[tex]9+2*3[/tex]

[tex]9+6[/tex]

[tex]15[/tex]

Answer:

12/24 to the lowest term is 1/2

Step-by-step explanation:

12 is half of 24, 1 is half of 2

Answer:

It's lowest term is 1/2.

Answer:

-10

Step-by-step explanation:

[tex]\frac{9^{2} -21}{-6} \\=-\frac{81-21}{6} \\=-\frac{60}{6} \\=-10[/tex]

Answer:

5000 miles per hour.

6000+4000 =10000

10000/2 = 5000 miles per hour

Answer:

5, 19, 21

Step-by-step explanation:

The sum of two smaller sides must be larger than the largest side in order to be a triangle. This means that only the first one can be a set of the triangle.

Answer: [tex]t=\frac{8w-3}{-4w+5}[/tex]

Step-by-step explanation:

Ok let's solve for t

[tex]5t+3=4w(t+2)\\[/tex]

First let's use the distributive property

[tex]5t+3=(4w)(t)=(4w)(2)\\5t+3=4tw+8w[/tex]

Now let's subtract 4tw to both sides

[tex]5t+3-4tw=4tw+8w-4tw\\-4tw+5t+3=8w[/tex]

Next we'll subtract 3 on both sides

[tex]-4tw+5t+3-3=8w-3\\-4tw+5t=8w-3[/tex]

We can now factor out the variable t

[tex]t(-4w+5)=8w-3[/tex]

Now we can divide both sides by -4w+5 giving us our answer

[tex]\frac{t(-4w+5)}{-4w+5} =\frac{8w-3}{-4w+5} \\t=\frac{8w-3}{-4w+5}[/tex]

Answer:

37

Step-by-step explanation:

Answer:

24+18 is 42.

Step-by-step explanation:

1

24

+18

____

 42

Answer:3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Subset : {} ; {1}  ; {2}  ; {3}  ; {1,2}  ; {2,3} ;  {1, 3} ; {1,2,3}

Number of subsets = 8

Answer:

tht's just the answer

Step-by-step explanation:

9/7 is equal to 54/42 and 1/6 is equal to 7/42

54/42 - 7/42 is equal to 47/42

Answer:

47/42

Step-by-step explanation:

First, we make both fractions have the same denominator. The LCM of 6 and 7 is 42.

9/7 * 6/6 = 54/42

1/6 * 7/7 = 7/42

54/42 - 7/42 = 47/42

Answer:

y = 6·sin(3·(x - 1)) + c

Step-by-step explanation:

The general form of an equation for a sinusoidal function is presented ad follows;

y = a·sin(b·(x - h) + c

Where;

a = The amplitude of the equation

T = The period = 2·π/b

h = The phase shift

c = The vertical shift

From the question, we have;

a = 6,

2·π/3 = 2·π/b

∴ b = 3

h = 1

We get;

y = 6·sin(3·(x - 1)) + c.

Answer:

It's 1,3

Step-by-step explanation:

Coordinate plane and x is 1 and y is 3

Answer:

(1,3)

Step-by-step explanation:

The spot where both lines intersect is the solution to the system of equations.

Hope that this helps!

Answer:

Step-by-step explanation:

Answer:

q12 B. q17 D.

Step-by-step explanation:

q12

since the side of cubes are the same,

cube root 216 = 6.

q17.

substitute x = 2 5/8 into the equation

4(2 5/8) + 9(2(2 5/8) +1)

= 66 3/4

Answer:

y = 63

Step-by-step explanation:

A straight line is equal to 180 degrees.

180 = 2y - 18 + y + 9

180 = 3y -9

189 = 3y

189/3

y = 63

Answer:

63

Step-by-step explanation:

2y-18+y+9=180 degrees

3y-9=180 degrees

3y=189 degrees

y=63 degrees

Answer:

it's a) 7a/20b

Step-by-step explanation:

[tex]5( \frac{a + 2}{4b} ) - 2( \frac{a - 1}{10b} ) + 4( \frac{a - 3}{5b} ) \\ \\ \frac{5a + 10 - 2a + 2 + 4a - 12}{20b } \\ \\ \\ \frac{7a}{20b} [/tex]

Answer:

A

Step-by-step explanation:

ik that the answer

Answer:

Ans:C

Step-by-step explanation:

4x^2+10x-2=6

4x^2+10x=6+2y

4x^2+10x-6=2y

(4x^2+10x-6)÷2=y

y=2x^2+5-3

Hope this is useful :)

Answer:

-27 or 1/27 ( both are same)

Step-by-step explanation:

-[tex]3^{3}[/tex]

-3 * -3 * -3

=-27 or 1/27

Answer:   4:3.

Step-by-step explanation:

The original answer is 16:12. But, when it's simplified, it's 4:3

Answer:

4:3

Step-by-step explanation:

28-12 the boys

16=girls

ratio; 16=12

g=b

simplify 16=12

4=3

Step-by-step explanation:

Mean=sum of terms/ number of terms

22+23+25+17+18/5

105/5

21

Finding the age of the sixth person

105+x/6=24

105+x=24x6

105+x=144

x=144-105

x=39

Answer:

7200

Step-by-step explanation:

Since the first digit cannot be zero,

there are 9*10*10*10 = 9000 4-digit numbers.

Each of these with a last digit not equal 5 or 0 is not divisible by 5.

Therefore, there are 8 choices of last digit

9*10*10*8  = 7200

Answer:

x=58

Step-by-step explanation:

Answer:

x=26 degree

Step-by-step explanation:

x+106+48 =180 degree (sum of interior angles of a triangle is 180 degree)

x+154=180

x=180-154

x=26 degree

therefore the value of x is 26 degree.