3 years ago

In the figure, ΔABC ∼ ΔDEF. Solve for x. (5 points)

Mathematics

1 answer:

frosja888 [35]3 years ago

3 0

6 : 24 x : 20 Cross multiply.

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A book falls from a shelf that is 5 feet above the floor. A model for the height h in feet if an object dropped from an initial

Brums [2.3K]

Answer:

About 0.559 seconds

Step-by-step explanation:

The height equation is:

$h=-16t^2+h_0$

Where $h_0$ is the initial height of the book, which is 5, so we can write:

$h=-16t^2+5$

Now, we want time it took for the book to reach ground (h = 0)

So, we substitute h = 0 and solve for t:

$h=-16t^2+5\\0=-16t^2+5\\16t^2=5\\t^2=0.3125\\t=0.5590\\t=0.559$

It took about 0.559 seconds for the book to reach the ground

5 0

3 years ago

Tanya bought a bunch of bananas that weighed 2 pounds 14 ounces. How much is this. A) 30 ounces B)46 ounces C)16 ounces D)38 oun

koban [17]

Answer:

B) 46 ounces

Step-by-step explanation:

1 pound is 16 ounces, so 16*2 = 32 + 14 = 46!

8 0

3 years ago

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At what value of x do the graphs of the equations below intersect?

Bogdan [553]

Answer:

Step-by-step explanation:

The intersection is the point where two equations meet. It is calculated by substituting terms into the equations involved. For the given systems of equation, calculations are as follows:

2x - y = 6

y = 2x - 6

We substitute the equation above to the second equation.

5x + 10y = –10

5x + 10( 2x - 6 )= –10

Simplifying,

5x + 20x - 60 = -10

25x = 50

x = 2

Therefore, the intersection has the value of x equal to 2.

3 0

3 years ago

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k is a an integer for which 1/2^1-k, 1/8. What is the value of k? 1/2^1-k must be equal to 1/8 if i read the question right.

svetlana [45]

Answer:

k = -2

Step-by-step explanation:

If $\frac12^{1-k}=\frac18$

Then

$\frac1{2^{1-k}}=\frac18=\frac1{2^3}$

$1-k = 3$

From this follows k = -2

3 0

3 years ago

Arborists use the diameter of a tree trunk to predict the age of a tree. The following computer output and residual plot

padilas [110]

Answer:

C. 210

Step-by-step explanation:

I just took it on edge

8 0

3 years ago