Which could be the area of a face of the rectangular prism?

A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.

[Not drawn to scale]
5 m2
6 m2
7 m2
9 m2

Answer:

=1.8

Step-by-step explanation:

R= Square root of volume/pie*height

R= 100/3.142*10

=100/31.42

=3.18

the square root of 3.18 is 1.78

1.78 rounded to the nearest tenth is 1.8

Answer:

C. Divide both sides by 26

Step-by-step explanation:

A doesn't make sense, B doesn't make very much sense, and D doesn't really make any sense. so the only answer that makes sense is C.

Answer: $14

Step-by-step explanation:

Hi, to answer this question we have to multiply the amount of the cash advance (700) by the APR for cash advances in decimal form (divided by 100):

700 x (24/100) = $168 (a year)

To obtain the monthly charges, we have to divide the result by the number of months in a year (12):

168 /12 = $14

Feel free to ask for more if needed or if you did not understand something.

Answer:

a=5

Step-by-step explanation:

3a-5b=10

a+7b=12

multiply the second row with -3

-3a-21b=-36 now we gonna add this to the first row

3a-5b=10

_________+

-26b=-26 b=1 now we gonna put in one of the equations to find a

a+7b=12

a+7.1=12 a=5

Answer:

i hope its clear . the answer is a = 5

Answer:

A

Step-by-step explanation:

When taking out the absolute value, it's 4x+2=6 and 4x+2=-6. At this point just solve for x and your answer(s) should be 1/-2

Answer:

x =1   x=-2

Step-by-step explanation:

|4x +2|= 6

There are two solutions a positive and a negative

4x+2 = 6      and 4x+2 = -6

Subtract 2 from each side

4x+2-2 = 6-2      4x+2-2 = -6-2

4x = 4                     4x = -8

Divide by 4

4x/4 = 4/4            4x/4   =-8/4

x =1                            x = -2

The right answer is -14

please see the attached picture for full solution

Hope it helps

Answer:

Simons pace is 2 more miles per hour more than eric's.

Step-by-step explanation:

Answer:

Simon's unit rate is 2 more miles per hour than Eric's unit rate

Step-by-step explanation:      D

Answer:

It will be in the 3rd quadrant.

Step-by-step explanation:

Hope that helps!

Answer:

The rotated figure appears in the 3rd quadrant

Step-by-step explanation:

To visualize a problem can sometimes be challenging.

It usually helps to make a sketch of the situation, to get a "feel" it of what is happening.

Supose a little cube is placed on the x axis, in quadrant 1, starting at ( 1. 0), and with size 1 unit.

Corner coordinates are therefore:

A =( 1, 0)

B =( 2, 0)

C =( 2, 1)

D =( 1, 1)

Rotate for 180 degrees about the origen (EXTRA: a ounterclockwise rotation over 180° is exactly the same as a clockwise rotation over 180°).

The new coordinates are:

A' =(-1, 0)

B' =(-2, 0)

C' =(-2 -1)

D' =(-1, -1)

These are all in third quadrant.

Therefore, the rotated figure appears in the 3rd quadrant

Step-by-step explanation:

21. supplementary angles (add up to 180°)

22. vertical angles (congruent)

23. vertical angles (congruent)

24. supplementary angles (add up to 180°)

25. supplementary angles (add up to 180°)

26. supplementary angles (add up to 180°)

27. supplementary angles (add up to 180°)

28. supplementary angles (add up to 180°)

29.

(complementary angles)

[tex]4x+3+x-8=90\\5x-5=90\\5x=95\\x=19\\[/tex]

30.

(supplementary angles)

[tex]9x-4+4x-11=180[/tex]  

[tex]13x-15=180\\13x=195\\x=15[/tex]

31.

(vertical angles)

[tex]x-15=60\\x=75[/tex]

32.

(supplementary angles)

[tex]63+11x+2+5x-13=180\\52+16x=180\\16x= 128\\x= 8[/tex]

33.

(complementary angles)

[tex]x+28+6x-15=90\\7x+13=90\\7x=77\\x=11[/tex]

Hope this helps!

Answer:

144 cm²

Step-by-step explanation:

for the triangle sides: 3 x 4 = 12 ((3 x 4/2)x 2)

for the front: 5 x 11 = 55

for the back: 3 x 11 = 33

for the base: 4 x 11 = 44

12 + 55 + 33 + 44 = 144

Answer:

144 units²

Step-by-step explanation:

We can see this shape is made of 2 shapes that we are familiar with 3 rectangle's and 2 triangles. In order to work out the surface of the prism we need to know how to work out the area of a rectangle and a triangle.

→ Area of triangle =  0.5 × Base × Height

→ Area of rectangle = Length × Width

First let's work out the area of the triangle and then double it to find the added area of the 2 triangle's

Area of triangle =  0.5 × Base × Height

→ Substitute in the values

Area of triangle =  0.5 × 4 × 3

→ Simplify

Area of triangle =  6

Then double this value to find the combined value of the 2 triangle's

6 × 2 = 12

Now the area of the large rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 5

→ Simplify

Area of rectangle =  55

Now the area of the medium rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 4

→ Simplify

Area of rectangle =  44

Now the area of the small rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 3

→ Simplify

Area of rectangle =  33

Now we add all the area's together,

33 + 44 + 55 + 12 = 144

Answer:

B

Step-by-step explanation:

Square root of 3 is between 1 and 2

1^2 =1

(sqrt(3)) ^2 =3

2^2 = 4

So it must be point B

Answer:

B

Step-by-step explanation:

Answer:

k= 10

Step-by-step explanation:

2x - 5y = 15

ky = 20 +4x

Solve the first equation for  y

-5y = -2x +15

Multiply by -2

10y = 4x - 30

If k = 10 then the slopes are the same, but the y intercepts are different.

The lines are parallel.  They will never intersect, and they have no solution

Answer:

D

Step-by-step explanation:

- 5y = - 2x +15

10y = 4x - 30

if k = 10, then the y intercepts are different, and the lines--being parallel--don't ever meet, so k = 10 would result in 0 solutions.

Hope this helps!

Answer:

E

Step-by-step explanation:

I hope am right coz it seems most appropriate

Answer:

x² - 10x + 25

Step-by-step explanation:

Given

(x - 5)² = (x - 5)(x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 5) - 5(x - 5) ← distribute both parenthesis

= x² - 5x - 5x + 25 ← collect like terms

= x² - 10x + 25

Answer:

Volume of Box / volume of tin = number of tins required

Volume of box =50*40*20= 40000 cu.cm

Volume of Tin = pi*r^2*h=pi*4^2*15 = 754 cu.cm

4000/754= 53 tins (rounded off)

Step-by-step explanation: i'm sorry if this is a bit complicated but i hope it answers your question. Take care.

Answer:

All of the angles are 60°, because 180÷3 is 60. so the measure of angle b plus the measure of angle a and angle c is equal to 180°. The measure of angle a + 120° is 180

Answer:

See below

Step-by-step explanation:

a and 120 form a straight line so they add to 180

a + 120 = 180

Subtract 120 from each side

a = 180-120

a = 60

The sum of the angles of a triangle add to 180

b+ a + 60 =180

b + 60 + 60 = 180

b+120 = 180

Subtract 120 from each side

b = 180-120

b = 60

Answer:

y=46.445

x=24.04

Step-by-step explanation:

rule for first triangle which is  right isosceles triangle with angles 30-60-90

sin 30 = opp/hypt.

0.5= opp/34

opp=17 which is the height

the part of y in the first triangle = a^2+b^2=c^2

a^2= 17^2 , b^2=y , c^2 =34

y ( first triangle )= √867=29.445

second triangle is right angle triangle 45-90-45

x= 24.04

sin 45= opp/hypt.

1/√2 =17/x

x= 17*√2 = 24.04

solving for other part of y in the right triangle

h= y = 17

the whole base y= 29.445+17 = 46.445

You're supposed to post all the photos in a single question.  Anyway, this is the one that has a domain and range of all real values.

We can see a domain of all real values -- there's no x that's not included.

We can see the range of all real values -- there's no y that's not included.

Answer:

I think its c...

Step-by-step explanation:

Answer:

7 inches

Step-by-step explanation:

250.4/36= 6.955555 rounded to nearest inch is 7

Answer:

x = 8, y = 1.

Step-by-step explanation:

2x + 4y = 20

3x + 2y = 26      Multiply this equation by -2:

-6x - 4y = -52    Add this to the first equation:

-4x = -32

x = -32/-4

x = 8.

Plug x = 8 into the first equation:

2(8) + 4y = 20

4y = 20 - 16 = 4

y = 1.

Answer:

A. either the good remains unsold or the price drops

Answer:

35 miles per hour

Step-by-step explanation:

The slope is

m = (y2-y1)/(x2-x1)

    = (280-210)/(8-6)

    = 70/2

    = 35 miles per hour

Answer: 1hr/35miles

Step-by-step explanation:

Answer:

Yes Yes No Yes

Answer:

$3,552.00

Step-by-step explanation:

First, you need to multiply 222 by 5. You will get 1110. Next, you need to multiply 222 by 10. You will get 2220. Now you take the 222 1 dollar bills and add it to the 1110 dollars, then add the 2220 to that. You will get the final number of 3552.

Here's the equation in what I call "Long Boi Form:"

222x5=1110 222x10=2220 1110+2220+222=3552

Here's the equation in what I call "Short Boi Form:" [Use this only if you

know PEMADAS!!!]

222+(222x5)+(222x10)=3552

Answer:

b

Step-by-step explanation:

Answer:

Numbers are 6 and 17.

Step-by-step explanation:

Let the two numbers are 'a' and 'b'.

"Sum of these numbers = 23"

a + b = 23 --------(1)

"One number is 7 less than 4 times the other"

a = 4b - 7 ---------(2)

Substitute the value of 'a' in equation (1) from equation (2)

(4b - 7) + b = 23

5b - 7 = 23

5b = 23 + 7

5b = 30

b = 6

From equation (2),

a = 4b - 7

a = 4×6 - 7

a = 24 - 7

a = 17

Therefore, the numbers are 6 and 17.

Answer: 7 and 16

Step-by-step explanation:

Let x be the smaller of the two numbers. We are told that the larger number is five less than three times the smaller number x. Therefore, our two numbers are x and 3x−5. Given that the sum is 23, we find that

x+(3x−5)=23

Solving for x, we find that x=7. So the two numbers are 7,16.

Answer:

4, 5, 6

Step-by-step explanation:

Represent the first number by x.  Then the next two consecutive integers are x + 1 and x = 2.  

THEN x + x + 1 + x + 2 = 15, WHICH REDUCES TO 3x + 3 = 15.

Then 3x = 12, and x = 4.

The consecutive integers are 4, 5 and 6.

Answer:

a.-2

b.4

c.-3

Step-by-step explanation:

write a,b,c on top of each number to the left of the =0

Answer:

The values are: a ; (-2) b ; (4) c ; (-3)

Step-by-step explanation:

The quadratic equation is: ax^2+bx+c = 0

So, you can get your answers by using that.

Answer:

see below

Step-by-step explanation:

Circumference of circle = 2πr =dπ

Area of circle =πr²

1) Circle1 d =4 in, r =2 in

Circumference of circle1 =4π in

Area of circle1 = 2²π =4π in²

2) Circle2: d =3 in, r =1.5 in

Circumference of circle2 =3π in

Area of circle2 = 1.5²π =2.25π in²

3)  Circle3:  r =1 in, d =2 in

Circumference of circle3 =2π in

Area of circle3 = 1²π =π in²

4) Circle4:  r =2 1/2 in = 2.5 in, d =5 in

Circumference of circle4 =5π in

Area of circle4 = 2.5²π = 6.25π in²

5) 2/3 of the Area of circle1 = (2/3)*4π in²= (8/3)π in²

6) 1/2  of the Area of circle2 = (1/2)*2.25π in² = (1/2)*(9/4)π in² = (9/8)π in²

7) 1/4  of the Area of circle3 = (1/4)π in²

8) 1/3  of the Area of circle4 = (1/3)* 6.25π in² =(1/3)*(25/4)π in² = (25/12)π in²

Answer:

Distance of segments AB and CD = 12

Step-by-step explanation:

AB+BC + CD = 6+6+6 = 18inch

midpoint AB = 6/2 = 3

midpoint CD =6/2 = 3

Midpoint AB+Midpoint CD = 3+3 = 6

To solve we just 18-6 = 12

Distance of segments AB and CD = 12

Answer:

its 12

Step-by-step explanation:

Distance of segments AB and CD = 12