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Sidana [21]
2 years ago
7

What is the following profuct? ( sqrt 14 - sqrt 3) ( sqrt 12 + sqrt 7)

Mathematics
1 answer:
aliina [53]2 years ago
3 0
I believe the answer is 8.10
You might be interested in
Kylie leans a 30-foot ladder against a wall so that it forms an angle of 74^{\circ}
MissTica

Answer:

8.27 ft.

Step-by-step explanation:

Using trigonometry of a right angled triangle:

cos 74 = x / 30        where x is the required distance

x = 30 cos 74

= 8.269 ft

3 0
2 years ago
The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.
solong [7]

Answer:

20.

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are a, b, and c:

a + b > c,

a + c > b, and

b + c > a.

In this question, the length of the sides are 10, 24, and x. The length of these sides should satisfty the following inequalities:

10 + 24 > x,

10 + x > 24, and

24 + x > 10.

Since x > 0, the inequality 24 + x > 10 is guarenteed to be satisfied.

Simplify 10 + 24 > x to obtain the inequality x < 35.

Similarly, simplify 10 + x > 24 to obtain the inequality x > 14.

Since x needs to be a whole number, the greatest x that satisfies x < 35 would be 34. Similarly, the least x\! that satisfies x > 14 would be 15. Thus, x\!\! could be any whole number between 15\! and 34\! (inclusive.)

There are a total of 34 - 15 + 1 = 20 distinct whole numbers between 15 and 34 (inclusive.) Thus, the number of possible whole number values for x would be 20.

5 0
2 years ago
HELP ASAP I HAVE 48 MINUTES LEFT
Strike441 [17]

Answer:

y = |1/4x|

Step-by-step explanation:

The slope is 1/4

7 0
3 years ago
A bag contains 10 red marbles and 15 green marbles.If yuki selects a marble from the bag without looking, what is the probabilit
Grace [21]

Incomplete Question (See Complete Question Below)

A bag contains 10 red marbles and 15 green marbles.If Yuki selects a marble from the bag without looking, what is the probability that she will pull a red marble?

A-1/5

B-2/5

C-1/2

Answer:

The probability of pulling a red marble is \frac{2}{5}

Step-by-step explanation:

Given

Red Marble = 10

Green Marble = 15

Required

The probability of picking a red marble

First, the total number of marble has to be calculated

Total = Red Marble + Green Marble

Total = 10 marbles + 15 marbles

Total = 25 marbles

The probability of an event is often calculated by dividing the number of required outcomes by the number of possible outcomes.

In this case, the probability of pulling a red marble is calculated as follows:

P(R) = \frac{n(R)}{T}

Where P(R) represents probability of pulling a red marble

n(R) represents number of red marbles

n(R) = 10

T represents total number of marbles

T = 25

By substitution,

P(R) = \frac{n(R)}{T} becomes

P(R) = \frac{10}{25}

Reduce fraction to lowest term by dividing the numerator and denominator by 5

P(R) = \frac{2}{5}

Hence, the probability of pulling a red marble is \frac{2}{5}

7 0
3 years ago
Can anyone solve this for me ? please
Firdavs [7]

Answer:

22

Step-by-step explanation:

5 0
2 years ago
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