2 years ago

The triangles are similar. If DE = 24, EF = 42, and AB = 8, find BC.

1 answer:

7 0

$\Delta ABC\sim\Delta DE F\\\\\frac{|EF|}{|DE|}=\frac{|BC|}{|AB|}\\\\substitute:\\\\\frac{|BC|}{8}=\frac{42}{24}\\\\\frac{|BC|}{8}=\frac{7}{4}\ \ \ \ /\cdot8\\\\|BC|=7\cdot2\\\\|BC|=14\\\\\\Answer:D.$

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A textbook store sold a combined total 402 of psychology and math textbooks in a week. The number of psychology textbooks sold w

uranmaximum [27]

Answer:

The number of textbooks of each type were sold is 134 math and 268 psychology books.

Step-by-step explanation:

Given:

Total number of math and psychology textbooks sold in a week is 402.

Now, let the number of math textbooks sold be $x$ .

And, the number of psychology textbooks be $2x$ .

According to question:

$x+2x=402$

$3x=402$

Dividing both sides by 3 we get:

$x=134$

So, total number of math textbooks were 134 .

And, total number of psychology textbooks were $2x=2\times 134$

$=268$ .

Therefore, the number of textbooks of each type were sold is 134 math and 268 psychology books.

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2 years ago

A hyperbola centered at the origin has a vertex at (0, 36) and a focus at (0, 39).

likoan [24]

To solve this problem you must apply the proccedure shown below:
1. You have that the hyperbola has a vertex at (0,36) and a focus at (0,39).
2. Therefore, the equation of the directrices is:

a=36
a^2=1296
c=39

y=a^2/c

3. When you susbtitute the values of a^2 and c into y=a^2/c, you obtain:

y=a^2/c
 y=1296/13

4. When you simplify:

y=432/13

Therefore, the answer is: y = ±432/13

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2 years ago

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Enter the values for a, b, and c in the factored form. P(x) = (x – 5)(ax2 + bx + c)

pochemuha

Ax^3 - 5ax^2 + 5bx + cx -5c

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1 year ago

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A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?

AnnyKZ [126]

Here,
cost of 18 ounce container of peanut butter = $3.28
cost of 1 ounce container of peanut butter = $3.28/18
=$0.182