Someone help please

Answer:

SA = 480 cm²

Step-by-step explanation:

Surface area of the composite figure given in the picture = (Surface Area of the triangular prism on the top - area of the rectangular base) + (Surface area of the rectangular prism - Area of the rectangular base)

Surface area of the triangular prism = Area of the triangular bases + (perimeter of the base × Height)

= [tex]2(\frac{1}{2}\times 3\times 8)[/tex] + [(5 + 5 + 8)×12]

= 24 + 216

= 240 cm²

Area of the rectangular surface of the prism = 8 × 12 = 96 cm²

Surface area of the rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = width and h = Height of the rectangular prism

                                                  = 2(8 × 12 + 12 × 6 + 6 ×8)

                                                  = 432 cm²

Surface area of the composite figure = (240 - 96) + (432 - 96)

                                                                = 144 + 336

                                                                = 480 cm²

Answer:

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction or ratio of two integers. Rational numbers are denoted  Q

.

Since  −3  can be written as  −3/1

, it could be argued that  −3  is also a real number.

Answer:

yes

Step-by-step explanation:

Any rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← a and b are integers , then

- 3 = [tex]\frac{-3}{1}[/tex] ← in rational form

Thus - 3 is a rational number

Answer:

c = 5/Cos 35

Step-by-step explanation:

We are given the following

m<ACB = 90degrees

m<ABC = 35degrees

The side opposite to m<ABC is AC

BA = hypotenuse

CB = adjacent = 5inches

Required

Equation to solve BA which is c

Using the Pythagoras theorem;

Cos theta = Adjacent/Hypotenuse

Cos m<ABC = CB/BA

Cos m<ABC = 5/c

c = 5/cosm<ABC

c = 5/Cos 35

Hence the equation that can be used to solve for c is c = 5/Cos 35

Answer:

60 cm^3

Step-by-step explanation:

Answer:

Area would be 110

Answer:

1/64

Step-by-step explanation:

Simplify the following:

1/(4^(11/3)×4^(-2/3))

Hint: | Simplify radicals.

1/4^(2/3) = 1/(4^2)^(1/3) = 1/(2^4)^(1/3) = (1/2^(1/3))/2:

1/(4^(11/3)×(1/2^(1/3))/2)

Hint: | Multiply numerator and denominator of 1/(2 2^(1/3)) by 2^(2/3).

Rationalize the denominator. 1/(2 2^(1/3)) = 1/(2 2^(1/3))×(2^(2/3))/(2^(2/3)) = (2^(2/3))/(2×2):

1/(4^(11/3)×(2^(2/3))/(2×2))

Hint: | Multiply 2 and 2 together.

2×2 = 4:

1/(4^(11/3)×(2^(2/3))/4)

Hint: | Separate the exponent of 4^(-11/3) into integer and fractional parts.

4^(-11/3) = 4^(1/3 - 12/3) = 4^(-12/3)×4^(1/3):

(4^(-12/3) 4^(1/3))/((2^(2/3))/4)

Hint: | Divide 12 by 3.

12/3 = (3 (-4))/3 = 4:

(4^(-4) 4^(1/3))/((2^(2/3))/4)

Hint: | Compute 4^4 by repeated squaring.

4^4 = (4^2)^2:

(4^(1/3))/((2^(2/3))/4) 1/(4^2)^2

Hint: | Evaluate 4^2.

4^2 = 16:

(4^(1/3))/(16^2×(2^(2/3))/4)

Hint: | Evaluate 16^2.

| 1 | 6

× | 1 | 6

| 9 | 6

1 | 6 | 0

2 | 5 | 6:

(4^(1/3))/(256×(2^(2/3))/4)

Hint: | Simplify radicals.

4^(1/3) = (2^2)^(1/3):

1/(256×(2^(2/3))/4) 2^(2/3)

Hint: | Write (2^(2/3))/(256×(2^(2/3))/4) as a single fraction.

Multiply the numerator by the reciprocal of the denominator, (2^(2/3))/(256×(2^(2/3))/4) = (2^(2/3))/256×4/2^(2/3):

(2^(2/3)×4)/(256×2^(2/3))

Hint: | Cancel common terms in the numerator and denominator of (2^(2/3)×4)/(256×2^(2/3)).

(2^(2/3)×4)/(256×2^(2/3)) = (2^(2/3))/(2^(2/3))×4/256 = 4/256:

4/256

Hint: | Reduce 4/256 to lowest terms. Start by finding the GCD of 4 and 256.

The gcd of 4 and 256 is 4, so 4/256 = (4×1)/(4×64) = 4/4×1/64 = 1/64:

Answer: 1/64

Answer:

x = 8

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in the given values of x and y, and solve for k:

y = kx

-8 = k(-2)

4 = k

So, the equation is y = 4x

Using this, plug in 32 as y, and solve for x:

y = 4x

32 = 4x

8 = x

So, x = 8 when y = 32

Answer:

its 31

Step-by-step explanation:

Answer:

x = 48

Step-by-step explanation:

From the given diagram, the sum of the angles given is equal to 180 degrees as shown;

x+y+2x = 80

Since y = 36

x +36+2x = 180

3x = 180 - 36

3x = 144

x = 144/3

x = 48

Hence the value of x is 48

Answer:

10

Step-by-step explanation:

because it shows where the line is

Answer:

Two 1/6 pieces

Step-by-step explanation:

Two 1/6 pieces equals 1/3 of the apple

Answer:

Im pretty sure its 11 because if you look at 145 mark its at between 10 and 12, Hopefully that helps!

Step-by-step explanation:

Answer:

the slope of the line is -2

Answer:

a = 2/5 or 0.4 (a is the slope value)

Step-by-step explanation:

y-int=-2

x-int=5

| x-int | / | y-int | = slope

|-2| / |5| = 2/5

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Answer:

Radius = 16cm

Diameter = 32cm

Step-by-step explanation:

The Radius of a circle is half the diameter of the circle. The radius is how far the outside of the circle is from the middle of the circle. To find the Diameter add the radius twice, for example 16+16. Don’t forget your UNIT it is in Centimeters in this case.

The radius is 16

Diamiter is 32

Answer:x=3

Step-by-step explanation:

the 3 angles of a triangle equal 180

you add 105 and 46, which equals 151

you subtract 151 from 180 to see what the missing angle is (29)

you would make 6x+11 equal to 29

-subtract 11 from 29= 18

6x/6, 18/6

the answer is 3

hope this helps! :)

Answer:11808

Step-by-step: so start by putting the 328 on top of 36 then after multiple 6 by 8 2 and 3 then bring down the answers then do a 0 then multiply 3 by 8 2 and 3 and you get 11808

Answer:

SU , UT , ST

Step-by-step explanation:

Answer:

its a black screen

Step-by-step explanation:

Answer:

(r + 20)t = r

Step-by-step explanation:

Distance is constant in the scenario above, distance from home to wedding and wedding back home is the same.

From wedding back home. :

Recall : Distance = speed * time

Distance = r * 1 hour

From home to wedding :

Speed = 20 mph more ; r + 20

Time = t

Distance = (r + 20)* t = (r +20)t

Since the distance are the same, we can equate both :

(r + 20)t = r * 1

= (r + 20)t = r

Answer:

Add all of them together. 1/5 + 2/4 + 4/3 + 3/2 = 53/15 miles

Step-by-step explanation:

1/5 + 2(1/4) + 4(1/3) + 3(1/2)

Answer:

answer

Step-by-step explanation:

=convert 3.8 into mixed number

=3 4/5

=1 3/10+3 4/5

=5.1 in mixed fraction

=5 1/10

if i got it wrong i am seriously sorry!

Answer:

Step-by-step explanation:

Factorize the denominator

Sum = 4

Product = 3

Factors = 1 , 3    {1*3 = 3 and  1+3 = 4}

x² + 4x + 3 = x² + x    + 3x + 1*3

                 = x(x + 1) + 3(x + 1)

                 = (x + 1)(x + 3)

GCF of the numerator and denominator = (x + 3)

Answer:

-10

Step-by-step explanation:

4a-2b=10

-1(4a-2b)=-1*10

-4a+2b= - 10

2b - 4a = - 10

Answer:

I think its 33

Step-by-step explanation:

i may be wrong

Answer:

choice 2) 90

Step-by-step explanation:

-3xy = ?

x=5 and y= -6

-3(5)(-6) = 90

Answer:

y=5/2x+9

Step-by-step explanation:

y-y1=m(x-x1)

y-4=5/2(x-(-2))

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

y=5/2x+10/2+4

y=5/2x+5+4

y=5/2x+9

Answer:

I. 1 cup is $4.50

2 cups is $9.00

3 cups is $13.50

ll. 6 cups is $27.00

Step-by-step explanation:

Now since the number of cups is proportional to the total cost of frozen yoghurt,and the cost of 4 yoghurts cups where given .ie. $18.00

then 1 cup is $18/4 which is $4.50 per one cup, thus the other cost of cups are given.

therefore 6 cups is 6•18/4 which is $27.00.

hence 5 cups is 5•18/4 which is $22.50.