A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 24

Here are three statements about the daily low temperatures for the 2 cities.

Maslowich

Answer:

Step-by-step explanation:

6 0

3 years ago

Jon recently drove to visit his parents who live 280 miles away. On his way there his average speed was 9 miles per hour faster

Luba_88 [7]

Answer:

11 mph and 20 mph

Step-by-step explanation:

Represent his average speed going by r1 and his average speed returning by r2. We know that r1 = r2 + 9.

Recall that distance = rate times time, so time = distance / rate.

Time spent going was (280 mi) / r1, or (280 mi) / (r2 + 9 mph).

Time spend returning was (280 mi) / r2.

The total time was 14 hrs, so (280 mi) / (r2 + 9 mph) + (280 mi) / r2 = 14 hrs

Note that there is only one variable here: r2. Find r2, and then from r2, find r1:

Dividing all 3 terms by 14 hrs yields:

20 20

---------- + ----------- = 1

r2 + 9 r2

The LCD here is r2(r2 + 9). Thus, we have:

20r2 (r2 + 9)(r2)

------------------- = 1 or ------------------

(r2 + 9)(r2) (r2 + 9)(r2)

Then 20(r2) = (r2)^2 + 9(r2). This is reducible by dividing all terms by r2:

20 = r2 + 9, or 11 = r2. Then r1 = 11 + 9, or 20.

The two rates were 11 mph and 20 mph.

8 0

3 years ago

1. A dilation with a scale factor of 4 and centered at the origin is applied to AB¯¯¯¯¯ with endpoints A(1, 3) and B(5, 3). Drag

mafiozo [28]

1. (-4,-1) 2.A' (4,12) B'(20,12) 3.B' 4.2 5. 1/8 hope u got them all right :p

4 0

3 years ago

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a rock is thrown from the top of a tall building. the distance, in feet, between the rock and the ground x seconds after it is t

frez [133]

Answer:

1.5 seconds

Step-by-step explanation:

Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:

340 = -16x² - 4x + 382

0 = -16x² - 4x + 42 (Subtract 340 from both sides)

16x² + 4x - 42 = 0 (Multiply entire equation by -1, "flip" equation)

8x² + 2x - 21 = 0 (Divide entire equation by 2)

(4x + 7)(2x - 3) = 0 (Factor LHS)

4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)

4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)

$x = -\frac{7}{4} = -1.75$ or $x =\frac{3}{2} = 1.5$

x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.

Hope this helps!

3 0

2 years ago

Use your knowledge of isosceles and equilateral triangle‘s to find the requested information.

djverab [1.8K]

Answer:

48 degrees

Step-by-step explanation:

6y=8y-16

y=8

8(8)-16= ?

64-16=

8 0

2 years ago

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