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3 years ago

Q1:

Mathematics

1 answer:

oee [108]3 years ago

5 0

Answer:

tyson had the better deal.

Step-by-step explanation:

hed had the better deal because 168 divided by 8 is 21 which is less than 24

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Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should t

frozen [14]

Answer:

The length of the third side of given triangle lies between 6.5 and 19.9.

Step-by-step explanation:

The law of cosine is as follows

$c^{2} =a^{2}+b^{2}+2abcos\alpha$ ---------------1

⇒ a and b are the given sides of the triangle and c is the third side, and $\alpha$ is the angle between a and b .

In equation 1 , the maximum and minimum values of $cos\alpha$ are 1 and -1.

so the value of c lies in between

⇒ $\sqrt{a^{2}+b^{2}-2ab }$ and $\sqrt{a^{2}+b^{2}+2ab }$ = $|a-b| and |a+b|$

Given a=13.2 and b=6.7 so the the side lies in between |13.2-6.7| and |13.2+6.7|

so the third side lies between 6.5 and 19.9

3 0

3 years ago

Two simple question Brainliest, 5 stars and Thanks too you pls HELP!!!!

Setler79 [48]

Answer:

$\Huge\boxed { 1/4}$

$\Huge\boxed {226•333. miles}$

Step-by-step explanation:

$\huge\pink{\boxed{\green{\mathcal{\overbrace{\underbrace{\fcolorbox{Black}{aqua}{\underline{\pink{✩1.solusion✩}}}}}}}}}$

1. ⟾ one dozen = 12, so 2 dozen = 12×2=24

⟾ 24 Joe's doughnuts = $6

⟾ 1 Joe's doughnuts or unit / rate = $6/24 = $1/4.

⟾ so per doughnut unit rate is $ 1/4.

$\huge\pink{\boxed{\green{\mathcal{\overbrace{\underbrace{\fcolorbox{Black}{aqua}{\underline{\pink{✩2.solusion✩}}}}}}}}}$

2. ⟾ 24 hours = 5432 miles.

⟾ 1 hours = 5432/24 hours

⟾ 1 hours = 226•333 miles.

⟾ so aryan drove in 226•333 miles in 1 hours.

Hope it's helps you

8 0

2 years ago

Read 2 more answers

Given: A, B, and C What is the value of X in the matrix equation AX + B = C?

Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

$A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}$

$B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}$

$C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}$

AX + B = C

AX = C - B

C - B = $\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}$ = $\begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}$

C - B = $\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}$

Let $X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}$

AX = $\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}$

= $\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}$

Since AX = C - B

$\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}$

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = $\begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix}$ will be the answer.

7 0

3 years ago

tammy is 14 years old. she has a younger sister and an older brother. her sister is 12. the mean of all their ages is 14. how ol

mafiozo [28]

Answer:

Step-by-step explanation:

To solve, we can use an equation finding the average of the siblings'ages.

$\frac{14 + 12 + x}{3} = 14 \\ \ 14 + 12 + x = 42 \\ x = 42 - 14 - 12 \\ x = 16$

7 0

3 years ago

How can you write -1/4x-9 on a graph

Dmitrij [34]

Answer:

Slope : -1/4

y-intercept : -9

x... 0 , 1

y... -9 , -37/4

Step-by-step explanation: Graph the line using the slope and y-intercept, or two points. GRAPH IS DOWN BELOW!

Hope this helps you out.

4 0

3 years ago