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Alex787 [66]
3 years ago
13

What is the area of this triangle?

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
3 0
\text {Area = }  \dfrac{1}{2} ABsin C

\text {Area = }  \dfrac{1}{2} (3.2)(4.7)sin (62 \textdegree)

\text {Area = } 6.64 \ yd^2
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Find, if it exists, a value c in the interval [1, 4] such that the instantaneous rate of change of f(x) = 12<img src="https://te
ella [17]

Answer:

  c = 2.25

Step-by-step explanation:

f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.

The average slope is ...

  m = (f(4) -f(1))/(4 -1) = (24 -12)/3 = 4

The point at which the derivative is 4 is ...

  f'(c) = 6/√c = 4

  √c = 6/4

  c = 2.25

5 0
3 years ago
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A fair coin is tossed two times in succession. The set of equally likely outcomes in {HH,HT,TH, TT}. Find the probability of get
Kryger [21]

Answer:

1/4

Step-by-step explanation:

The answer is 1/4 because their is a total number of 4 outcomes (denominator) and there in only 1 chance (numerator) that you will not get tails.

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4 years ago
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The sides of the base of a right square pyramid are 4 m in length, and its slant height is 8 m. If the lengths of the sides of t
noname [10]

Answer:

B

Step-by-step explanation:

<em>Hopes This Helps :)</em>

3 0
3 years ago
Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational. (2 points)
vladimir2022 [97]

Answer:

  A. 9.6

  B. √92

Step-by-step explanation:

<h3>A.</h3>

Rational: 9.6. It is rational because it is a terminating decimal number.

__

<h3>B.</h3>

Irrational: √92 ≈ 9.59166.... It is irrational because it is the square root of an integer that is not a perfect square. All such square roots are irrational.

_____

<em>Additional comment</em>

In general, the n-th root of an integer that is not a perfect n-th power will be irrational. For example, ∛885 ≈ 9.600954766... is irrational, because 885 is not a perfect cube. (9³=729, 10³=1000)

Trig functions of (non-zero) rational angles in radians will be irrational. For example, tan(1.467) ≈ 9.5996286... is irrational.

3 0
3 years ago
WHERE DO THE NUMBERS GO? help!!!!!!
Marat540 [252]

Answer:

Other: \frac{3}{4} , 0.25

Whole Numbers: -20, -6

Natural Numbers: 532, 10, 0, \frac{6}{2}

Step-by-step explanation:

Natural numbers have to be positive whole numbers such as 10 and 0

Whole numbers are similar, but you can have negative numbers here. You just can't put fractions in there.

The 3rd section is a little odd, Integers don't use fractions or decimals, same as whole numbers. The fractions and decimal numbers would go outside of that section.

Extra note: \frac{6}{2} might be a tricky one because it is in fraction form but it is also written as 3. This means it is a natural number. The reason numbers such as \frac{3}{4}  and 0.25 are not natural numbers is because they cannot be put as whole numbers.

6 0
3 years ago
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