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2 years ago

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Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three rows

of four as shown.
12 blocks are in 3 rows of 4. Each block is 4 inches by 5 inches by 7 inches.

What is the total surface area of the composite solid?
521 square inches
1,042 square inches
1,072 square inches
1,992 square inches

1 answer:

Romashka [77]2 years ago

4 0

Answer

the answer is b. im not sure though

Step-by-step explanation:

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Which statement best describes relations between the United States and South Korea today?

Lisa [10]

Answer:

C. The United States maintains military forces in South Korea, a close ally.

Step-by-step explanation:

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2 years ago

List the first five terms of the sequence. a1 = 4, an+1 = 5an − 3

RUDIKE [14]

The recursive formula

$a_{n+1} = 5a_n-3$

is telling you that the next term in the sequence is five times the previous one, minus 3.

So, if we start with $a_1=4$ , we have to multiply it by 5 and subtract 3 to get the next:

$a_2 = 5a_1-3 = 5\cdot 4 - 3 = 20-3 = 17$

And similarly we can obtain all the next terms:

$a_3 = 5a_2-3 = 5\cdot 17 - 3 = 85-3 = 82$

$a_4 = 5a_3-3 = 5\cdot 82 - 3 = 410-3 = 407$

$a_5 = 5a_4-3 = 5\cdot 407 - 3 = 2035-3 = 2032$

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2 years ago

Ivenika [448]

Answer:

(D)Which equation matches the word problem? 24.35+45.65 = m

(D)Curtis withdrew $70 from the ATM.

Step-by-step explanation:

Addition and Subtraction Equations Assignment

Using a Bar Diagram

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2 years ago

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Fiona wrote the linear equation y = y equals StartFraction 2 over 5 EndFraction x minus 5.x – 5. When Henry wrote his equation,

xeze [42]

Answer:

D. $x-\frac{5}{2}y = \frac{25}{2}$

Step-by-step explanation:

Given

$y = \frac{2}{5}x - 5$

Required

Determine its equivalent

<em>From the list of given options, the correct answer is</em>

$x - \frac{5}{2}y = \frac{25}{2}$

This is shown as follows;

$y = \frac{2}{5}x - 5$

Multiply both sides by $\frac{5}{2}$

$\frac{5}{2} * y = \frac{5}{2} * (\frac{2}{5}x - 5)$

Open Bracket

$\frac{5}{2} * y = \frac{5}{2} * \frac{2}{5}x - \frac{5}{2} *5$

$\frac{5}{2}y = x - \frac{25}{2}$

Subtract x from both sides

$\frac{5}{2}y - x = x -x - \frac{25}{2}$

$\frac{5}{2}y - x = - \frac{25}{2}$

Multiply both sides by -1

$-1 * \frac{5}{2}y - x * -1 = - \frac{25}{2} * -1$

$-\frac{5}{2}y + x = \frac{25}{2}$

Reorder

$x-\frac{5}{2}y = \frac{25}{2}$

<em>Hence, the correct option is D</em>

$x-\frac{5}{2}y = \frac{25}{2}$

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2 years ago

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From a height of 50 meters above sea level on a cliff, two ships are sighted due west. The angles of depression are 61° and 28°.

Olenka [21]

Answer:

The ships are 66 meters apart.

Step-by-step explanation:

For the sake of convenience, let us label ships A and B

As shown in the figure, the distances to the ships from right triangles.

The distance to the ship A is $d_1$ and it is given by

$tan (61^o)= \dfrac{50}{d_1}$

$d_1=\dfrac{50}{tan (61^o)}$

$\boxed{d_1= 27.71m}$

And the distance to the ship B is $d_2$ and is given by

$tan (28^o)= \dfrac{50}{d_2}$

$d_2=\dfrac{50}{tan (28^o)}$

$\boxed{ d_2=94.04m}$

Therefore, the distance $d$ between the ships A and B is

$d= d_2-d_1=94.04-27.7\\\\\boxed{d=66m}$

In other words, the ships are 66 meters apart.

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2 years ago

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