The temperature in one northern city was -12°F and in a southern city was 57°F. How much warmer

Ac=_____ what is AC?

choli [55]

Answer:

3.4 + 3.4 = 6.8

Step-by-step explanation:

Review your triangle and geometry. Since the triangles are both similar, they would have the same side.. etc.

7 0

3 years ago

Read 2 more answers

small cubes with edge lengths of 1/4 inch will be packed into the right rectangular prism shown.( the base is 4 1/2, the width i

ss7ja [257]

General Idea:

We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.

Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).

To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.

Formula Used:

$Volume \; of \; Cube = a^3 \; \\\{where \; a \; is \; side \; length \; of \; cube\}\\\\Volume \; of \; Right \; Rectangular \; Prism=L \times W \times H\\\{Where \; L \; is \; Length, \; W \; is \; Width, \;and \; H \; is \; Height\}$

Applying the concept:

Volume of Small Cube:

$V_{cube}= (\frac{1}{4} )^3= \frac{1}{64} \; in^3\\\\V_{Prism}= 3 \frac{3}{4} \times 5 \times 4 \frac{1}{2} = \frac{15}{4} \times \frac{5}{1} \times \frac{9}{2} = \frac{675}{8} \\\\Number \; of \; small \; cubes= \frac{V_{Prism}}{V_{Cube}} = \frac{675}{8} \div \frac{1}{64} \\\\Flip \; the \; second \; fraction\; and \; multiply \; with \; the \; first \; fraction\\\\Number \; of \; small \; cubes \;= \frac{675}{8} \times \frac{64}{1} = 5400$

Conclusion:

The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>

4 0

3 years ago

Read 2 more answers

Simplify x^3/x? need help been stuck on this question forever

BlackZzzverrR [31]

x^3/x

= x^(3 - 1)

= x^2

Answer

x^2

8 0

3 years ago

Read 2 more answers

A shopping cart is pushed 20 meters west across a parking lot in 5.2 seconds. What is the velocity of the

Alex787 [66]

Answer the shopping cart had a velocity of 3 m/s as it moved across the parking lot.

Step-by-step explanation:

The time taken for this displacement is 5.2 seconds. So, the velocity of the shopping cart can be estimated by the above mentioned relation as, velocity of shopping cart = 15.6 m / 5.2 s = 3 m/s.

3 0

3 years ago

If AB = x+ 4, BC = 2x -10 and AC

lawyer [7]

Answer:

15

Step-by-step explanation:

By the diagram, you can see the sum of segment AB and segment BC is segment AC. Adding the given expressions for AB and B is $3x-6$ . Simplifying the equation $3x-6=2x+1$ , gives $x=7$ . Substituting $x=7$ in the equation for segment AC gives 15.

8 0

2 years ago