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2 years ago

Point O is the center of this circle. What is m CAB? A.55 B.48 C.45 D.35

Mathematics

1 answer:

Sophie [7]2 years ago

3 0

Answer is B. 48

By circle theorem, the angle at the centre of the circle is twice the angle at the circumference.

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Simplify the following expression. 6 + (-11) A. -17 B.-5 C. 5 D.17

Mila [183]

Answer: b (-5)

explanation: 11-6=5 therefore 6+(-11)= -5

4 0

2 years ago

You have 5 reindeer, Jebediah, Ezekiel, Quentin, Lancer, and Gloopin, and you want to have 4 fly your sleigh. You always have yo

ollegr [7]

Answer: There are 120 different ways we can arrange reindeer.

Step-by-step explanation:

Since we have given that

Number of reindeer = 5

Number of them fly their sleigh = 4

We need to find the number of different ways we can arrange their reindeer .

For this we will use "Permutation":

here, n = 5

r = 4

So, it becomes,

$^nP_r=\frac{n!}{(n-r)!}\\\\So,\\\\^5P_4=\frac{5!}{(5-4)!}\\\\^5P_4=120$

Hence, there are 120 different ways we can arrange reindeer.

3 0

3 years ago

Find the functional values g (-3), g (0), and g (5) for the compound function.

Zinaida [17]

Answer:

$g(-3)=7$

$g(0)=7$

$g(5)=\dfrac15$

Step-by-step explanation:

$g(x) =\begin{cases}7 & \text{if } x \leq 0 \\ \\\dfrac{1}{x} & \text{if } x > 0\end{cases}$

This means:

when x is equal to zero or less than zero, g(x) will always be 7.

when x is more than zero, g(x) is $\frac{1}{x}$

$\implies g(-3)=7$

$\implies g(0)=7$

$\implies g(5)=\dfrac15$

5 0

2 years ago

Read 2 more answers

What are the domain restrictions of the function f(x) = the quantity of x squared plus 6x plus 9, all over 3x plus 15.

dangina [55]

Answer:

x = - 5

Step-by-step explanation:

Given

f(x) = $\frac{x^2+6x+9}{3x+15}$

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve : 3x + 15 = 0 ⇒ 3x = - 15 ⇒ x = - 5 ← excluded value

Domain x ∈ R , x ≠ - 5

6 0

3 years ago

What is the distance between M(9, −5) and N(−11, 10)?

lesya692 [45]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{25 \: units}}}}}$

Step-by-step explanation:

Let M ( 9 , -5 ) be ( x₁ , y₁ ) and N ( - 11 , 10 ) be ( x₂ , y₂ )

Finding the distance between these points

$\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 11 - 9)}^{2} + {(10 - ( - 5))}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(10 + 5)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(15)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{400 + 225}}}$

$\longrightarrow{ \sf{ \sqrt{625}}}$

$\longrightarrow{ \sf{ \sqrt{ {(25)}^{2} } }}$

$\longrightarrow{ \sf{25 \: units}}$

Hope I helped!

Best regards! :D

7 0

3 years ago