The volume inside a rectangular storage room is 2,043 cubic feet. The room is 9 feet high. Find the area of the floor.

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Explanation:

Use of a calculator will show that

2/3 = 0.6666...

where the 6's go on forever. Your teacher only wants 2 significant figures though. That means you'll round to the nearest hundredth to get 0.67

The 0 to the left of the decimal point is not a significant figure. The reason being is because we can rewrite 0.67 into 6.7*10^(-1); we can see the coefficient 6.7 having two sig figs.

Answer:

91.3 degrees celsius

Step-by-step explanation:

Here, we want to calculate the mean temperature of the 30 cups

From what we have here, if we multiplied the mean by the count of cups, we have the total

That means, we have the total temperature of all as;

(10 * 89.6) + (20 * 92.1) = 2,738

So to get the temperature of the thirty, we divide this by 30 as follows;

2,738/30 = 91.3

Answer:

x = - 8

Step-by-step explanation:

x - 124 = 9(2x + 3) - 15

x - 124 = 18x + 27 - 15

x - 124 = 18x + 12

x - 124 + 124 = 18x + 12 + 124

x = 18x + 136

x - 18x = 18x - 18x + 136

- 17x = 136

- 17x ÷ - 17 = 136 ÷ - 17

x = - 8

Answer:

The polygons are similar.

Step-by-step explanation:

By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.

Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.

The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is [tex]\frac{3}{3.75}[/tex].

The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is [tex]\frac{5}{6.25}[/tex].

If these polygons are similar, these proportions must be equal.

[tex]\frac{3}{3.75}=\frac{5}{6.25},\\0.8=0.8\:\checkmark[/tex]

Checking, we see that these proportions are equal, and therefore the polygons are similar.

Answer:

1.none of the above

2.x=50

Answer:

Since 7 and 11 are both rational, the sum and difference are rational.

Step-by-step explanation:

A. Since 7 and 11 are both rational, the sum and difference are rational.

B. Since 14 and 11 are both rational, the sum and difference are rational.

C. Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.

D. Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.

p² – 14p – 72 = 0

p² – 14p = 72

p² – 14p + 49 = 72 + 49

p² - 14p + 49 = 121

(p - 7)² = 121

find the square root of both sides

√(p - 7)² = √121

p - 7 = ±11

p = +11 - 7 or p = -11 - 7

p = 4 or -18

Answer:

8 cm

Step-by-step explanation:

Congruent means same. so x is 8

Answer:

$125

Step-by-step explanation:

Coopersville middle school raised 71, 875 on their sale sub

There are 575 students in the school

Therefore the average amount raised by each student can be calculated as follows

°= 71875/575

= 125

Hence the average amount raised by each student is $125

Answer:

111

Because other ones ends with even numbers (6, 2, 8)

Answer:

b

Step-by-step explanation:

Answer:

509.380

Step-by-step explanation:

According to Pythagoras,

(19.3)^2 + (11.7)^2 = 509.380

Answer:

13.5

Step-by-step explanation:

What is the area of a rectangle with a length of 3 cm and a width of 4.5 cm?

1.5 cm2

6.75 cm2

7 cm2

13.5 cm2 this one

Answer:

The second coupon will save more money.

Step-by-step explanation:

Below are the calculations:

First, find the 20% of the cost $115 and then compare with other value $25.

The 20% of the $115 = 20% x 115 = $23

Since the person has two coupons, one coupon benefits by $23 and second coupon benefit by $25. Therefore, second coupon will save more money.

Answer:

answer is 40 :)

Step-by-step explanation:

hope this helps :) have a great day!

Answer:

Thanks

Step-by-step explanation:

Answer:

AM = 900

CI = 500

I have to be honest, this is the most ridiculously worded question of this type that I have ever seen... ask you teacher, why it was so important to force you to solve it using only one variable?

Step-by-step explanation:

(AM) + (1400-AM) = 1400

2(AM) + 3(1400 - AM) = 3300

2AM + 4200 -3AM = 3300

-AM = -900

AM = 900

CI = 500

Answer:

1) JG = 5

2) ANGLE FKJ = 80DEG

3) ANGLE ADB = 72DEG

4) ANGLE ABD = 90DEG

5) ANGLE AFE = 110DEG

6) ANGLE ACE = 42DEG

Assumption- in the last figure, intersection of BD and CE is at I and Angle BIC = 48 deg

Answer:

I\A

Step-by-step explanation:

Answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

All the measuring angles above 180 degrees and less than 360 degrees are termed Reflex angles.

Eg: 239° is greater than 180° and lesser than 360° So it's a reflex angle

Answer:

its 44 the answer

Step-by-step explanation:

I hope this helps

Answer:

44

Step-by-step explanation:

Basically, just substitute t for the value you were given, in this case, 4.

3*4^2 - 4

Do exponents first:

3*16 - 4

Multiply next

48-4

Subtract

44

Answer:

SOHCAHTOA

-opposite = 45

adj = x (32 degrees)

Tan(32)/x = 45/x

cross multiply to get your answer

Answer:

z = 45 (it is the same angle as x)

y and u = 135

Step-by-step explanation:

45 + 45 = 90

360 - 90 = 270

270/2 = 135

CHECK YOUR WORK:

135 + 135 + 45 + 45 = 360

270 + 90 = 360

360 = 360

Answer:

z = 45

y = 135

u = 135

Step-by-step explanation:

Vertically opposite angles are equal so x and z must be the same.

A circle is 360 degrees so

360 - (45 + 45) = 270

270 / 2 = 135 degrees

This means that y and u must both be 135 as they too are vertically opposite.

Answer:

So the point of intersection would be -x=2x+6

and then we'll subtract 2x on both sides and get -3x=6

this will result in x=-2

Then we'll substitute that into y=-x, so y=2

Therefore the point of intersection is (-2,2)

Hope I helped, have a nice day :)

Answer:

x = 70°, y = 110°, z = 70°

Step-by-step explanation:

The two straight lines are intersection each other.

y = 110°  [justification vertical angles, or vertically opposite angles]

x + 110° = 180  [supplementary angles]

therefore x = 180-110 = 70°

Similarly,

z + 110° = 180  [supplementary angles]

therefore z = 180-110 = 70°

Answer:

Y= 110°

Z= 70°

X= Z, which is 70°

Step-by-step explanation:

Because 110° is same to y, y=110°.

A 180° angle is a straight line, so 180-110=70.

Thus, z is 70°

Because x is same to z, it is 70° too.

Answer:

b. 0.30

Step-by-step explanation:

To find the relative frequency, divide the frequency of smoothie votes 30 by the total number of votes 100.

[tex]\frac{30}{100} =0.30[/tex]

Answer:

15

Step-by-step explanation:

youre welcome have a great summer

Answer:

Step-by-step explanation:

It is in changing solving with the sign of | |

Step-by-step explanation:

so you put the value of F into x and make an equation

Answer:

Step-by-step explanation:

f(x) = px + q

f(-2) = 4

 p*(-2) + q = 4

-2p + q = 4 -----------------(I)

                    f(3) = 4

                    p*3 + q = 4

                     3p + q = 4 ---------------------(II)

Subtract equation (II) from (I)

(I)           -2p + q = 4

(II)           3p  + q = 4  {Subtract}

           -         -      -  

              -5p + 0 = 0

-5p = 0

p = 0

Plugin p = 0 in equation (I)

0 + q = 4

       q = 4

p = 0

q = 4