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3 years ago

14

What kind of triangle is this?

1 answer:

Agata [3.3K]3 years ago

7 0

B. As all the sides are different lengths and angle f is bigger than 90 so it is obtuse
Hope this helps

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Loin has read 25 % of a book. If she has been reading for 5 hours, how many more hours will it take her to complete the book?

Anon25 [30]

Well, the answer is 15 hours

Explanation:
Since it took Loin 5 hours to read 25% of the books and the entire book is 100%, 25% is 1/4 of the book. We add on 5 hours to every 1/4 of the book so 1/2=10 hours, 3/4= 15 hours and the entire book =20 hours. So the entire book would take 20 hours to read but the question is How many MORE hours so we subtract 5 hours from 20 hours which equals 15.

4 0

3 years ago

Consider the following frequency distribution:

daser333 [38]

Answer:

Relative frequency

0.214

0.268

0.446

0.071

Total 1

Step-by-step explanation:

The relative frequency is computed by dividing the individual frequencies to the sum of frequencies.

sum of frequencies=12+15+25+4=56

Class Relative Frequency

10-20 12/56=0.214

20-30 15/56=0.268

30-40 25/56=0.446

40-50 4/56=0.071

Total 12/56+15/56+25/56+4/56=56/56=1

8 0

3 years ago

Ravi made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces w

mart [117]

Answer: $ 2.20

Step-by-step explanation: 31.80-18.60= 13.20

13.20 divided by 6= 2.20

——————-

2.20 x 6= 13.2

13.20+ 18.60= 31.80

4 0

3 years ago

A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate

yulyashka [42]

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

$\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}$

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

$C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)$

$C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)$

At C'(x) = 0

$\dfrac{12500}{x^2} = 20$

$\dfrac{12500}{20} = x^2$

$x^2= 625$

$x = \sqrt{625}$

x = 25

$C'' (x) = -12500 \times \dfrac{-2}{x^3} +0$

$C'' (x) = \dfrac{25000}{x^3}$

where; x = 25

$C'' (x) = \dfrac{25000}{25^3}$

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0

3 years ago

What is the y-intercept of the function f(x)=4 - 5x? (Hint: use the commutative property)

Tom [10]

Answer:

Therefore the y-intercept of the function is 4.

Step-by-step explanation:

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

y-intercept: The line or function which intersect at y-axis. So when the line intersect at y-axis, X coordinate is zero.

So in the given Function Put x = 0 we will get the y-intercept

$f(x)= 4-5x$

Put x =0

$f(0)= 4-5\times 0$

$f(0)= 4-0=4$

Therefore the y-intercept of the function is 4.

7 0

3 years ago