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ella [17]
3 years ago
5

PLEASE HELP, LIMITED TIME!!!!!

Mathematics
2 answers:
Lyrx [107]3 years ago
4 0

Answer: m∠CAB=48°

Step-by-step explanation:

From the given picture, there is a circle with center O and the measure of central angle ∠COB=96°.

We know that the angle which is subtended by an arc at the centre of a circle is double the size of the angle subtended at any point on the circumference.

Therefore, \angle{COB}=2\times\angle{CAB}

\Rightarrow\ \angle{CAB}=\frac{1}{2}\angle{COB}=\frac{1}{2}\times96^{\circ}=48^{\circ}

Hence, m∠CAB=48°

Elenna [48]3 years ago
3 0
48 i believe thats the best i can find
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Find x.<br> 8x + 11<br> 12x - 1
ELEN [110]

Answer:

x = 3

Step-by-step explanation:

If T is the midpoint, that means segments ST and TU are congruent.

Step 1: Set up expression

8x + 11 = 12x - 1

Step 2: Solve

11 = 4x - 1

12 = 4x

x = 3

4 0
3 years ago
2. Find the theoretical probability of not rolling a 4.
mezya [45]

Answer:If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is 1/6.

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is 3/6 = 1/2

Step-by-step explanation:For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

8 0
3 years ago
Find the measure of the missing angles in the kite​
ser-zykov [4K]

Answer:

x = y = 104°

Step-by-step explanation:

The sum of the interior angles = 360°

The opposite angles x and y are congruent , that is y = x , then

92 + 60 + x + x = 360

152 + 2x = 360 ( subtract 152 from both sides )

2x = 208 ( divide both sides by 2 )

x = 104

Then

x = y = 104°

7 0
2 years ago
PLEASE HELP <br> The value of which of these expressions is closest to e?
amid [387]
It’s b my man have a great day!
5 0
3 years ago
Find the absolute maximum and minimum values of the function, subject to the given constraints. k(x,y)=−x2−y2 4x 4y; 0≤x≤3, y≥0,
grigory [225]

For function k(x, y) = -x² - y² + 4x + 4y,

the absolute minimum is 0 and the absolute maximum is 6

For given question,

We have been given a function k(x, y) = -x² - y² + 4x + 4y

We need to find the absolute maximum and minimum values of the function, subject to the constraints 0 ≤ x ≤ 3, y ≥ 0, and x + y ≤ 6

First we find the partial derivative of function k(x, y) with respect to x.

⇒ k_x=-2x+4

Now, we find the partial derivative of function k(x, y) with respect to y.

\Rightarrow k_y=-2y+4

To find the critical point:

consider    k_x=0     and      k_y=0

⇒       -2x + 4 = 0     and    -2y + 4 = 0

⇒          x = 2            and       y = 2

This means, the critical point of function is (2, 2)

We have been given constraints 0 ≤ x ≤ 3, y ≥ 0, and x + y ≤ 6

Consider k(0, 0)

⇒ k(0, 0) = -0² - 0² + 4(0) + 4(0)

⇒ k(0, 0) = 0

Consider k(3, 3)

⇒ k(3, 3) = -3² - 3² + 4(3) + 4(3)

⇒ k(3, 3) = -9 - 9 + 12 + 12

⇒ k(3, 3) = -18 + 24

⇒ k(3, 3) = 6

Therefore, for function k(x, y) = -x² - y² + 4x + 4y,

the absolute minimum is 0 and the absolute maximum is 6

Learn more about the absolute maximum and absolute minimum values of the function here:

brainly.com/question/16270755

#SPJ4

4 0
1 year ago
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