All categories

4 years ago

Can someone please help me

Mathematics

1 answer:

horrorfan [7]4 years ago

3 0

Your answer is: Yes, because the sum of the two angles is 180° (the second option).

I hope this helps!

You might be interested in

A water tank has 800 liters of water and is going to be drained at a rate of 15 liters per minute.

Verdich [7]

I think that’d be 53.3 till the water’s fully out.

8 0

3 years ago

Lisa and bart spin the spinner 60 times

ladessa [460]

The question is not complete. It should read;
Lisa and Bart spin this spinner 60 times the result are below/ black=17 blue=15 orange=21 purple=7 a. What is the experimental probability of a spin of orange? B which color had an experimental probability that matched its theoretical probability

Answers
a) 0.35
b)Blue

Explanation
The probability of an event is its chance to occur.
Probability is found by the formula,

Probability = (Number of favourable outcome)/(Number of total outcome)

Part a
The orange are 21 and the total spins are 60.
Probability (orange) = 21/60
= 0.35

Part 2
The theoretical probability of blue is normally 25%.
By calculating the experimental probability of blue we get,
P(blue) = 15/60
= 1/4
In percentage
1/4×100 = 25%

So, the color that had an experimental probability that matched its theoretical probability is blue.

6 0

3 years ago

Michael walks 4 1/2 miles in 1 1/4 hours. What is Michael's walking speed, in miles per hour?

gizmo_the_mogwai [7]

Answer:

3 3/5 miles per hour

Step-by-step explanation:

4 1/2=9/2

1 1/4=5/4

(9/2)/(5/4)=(9/2)(4/5)=36/10=18/5=3 3/5

7 0

3 years ago

A pool contains 3,600 cubic feet of water. If the length of the pool is 30 feet the width is 16 feet and the depth of the pool i

dexar [7]

Answer:

I’m pretty sure it’s 7.5, but I’m not sure! I’m sorry if it’s wrong!

4 0

3 years ago

Solve the matrix and prove that it is equal 0

Art [367]

Step-by-step explanation:

$\underline{ \underline{ \text{Given}}} :$

$\tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}$

$\underline{ \underline { \text{To \: Find}}} :$

$\sf{ {A}^{2} - 5A+ 22I= 0}$

$\underline{ \underline{ \text{Solution}}} :$

The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by $\sf{ {A}^{T}}$ . Again , Interchange it's rows and columns in order to find ' A '.

$\tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}$

Now , LEFT HAND SIDE ( L.H.S )

$\tt{ {A}^{2} - 5A+ 22I}$

Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.

⟼ $\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}$

⟼ $\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}$

⟼ $\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}$

⟼ $\begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}$