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raketka [301]
3 years ago
11

Given 7, 9, and 11 as the three sides of a triangle, classify it as one of the

Mathematics
1 answer:
dusya [7]3 years ago
7 0
The triangle would be acute
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What’s the answer????
ira [324]

Step-by-step explanation:

Q7) 10% of 30=3

40% of 30 =3×4=12

30-12=18

the sale price of radio is 18

q8)purchase lose lemmons:0.99÷2=0.495

Bag of 6=2.50÷6=0.4166666667

so the better value is the bag of 6 for 2.50.

3 0
3 years ago
Liane can read 12 pages of her book in 2 1/2 minutes. How many pages can she read per minute?
suter [353]

Answer:

Step-by-step explanation:

We must divide the number of pages by the number of minutes in order to find how much she would answer per minute.

So, our equation looks like this:

12 ÷ 2 1/2 = rate per minute

= 12 ÷ 5/2 (2 1/2 as an improper fraction) = 4.8 pages

Hope this helped!

5 0
3 years ago
Patricia serves the volleyball to Amy with an upward velocity of 17.5ft/s. The ball is 5 feet above the ground when she strikes
Lena [83]

t = 1.33 sec

Solution:

Given data:

Velocity (v_0) = 17.5 ft/s

Height (h_0) = 5 ft

The height can be modeled by a quadratic equation

h(t)=-16t^2+v_0t+h_0

where h is the height and t is the time

h(t)=-16t^2+17.5t+5

-16t^2+17.5t+5=0

a = –16, b = 17.5, c = 5

It looks like a quadratic equation. we can solve it by quadratic formula,

$\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

$\Rightarrow t=\frac{-17.5 \pm \sqrt{(-17.5)^{2}-4\times (-16)(5)}}{2 (-16)}

$\Rightarrow t= \frac{-17.5 \pm \sqrt{306.25+ 320}}{-32}

$\Rightarrow t= \frac{-17.5 \pm 25.025}{-32}

$\Rightarrow t= \frac{-17.5 - 25.025}{-32}, \ t= \frac{-17.5 + 25.025}{-32}

$\Rightarrow t= 1.33, \ t= -0.24

Time cannot be in negative. So neglect t = –0.235.

t = 1.33 sec

Hence Amy have to react  1.33 sec before the volleyball hits the ground.

3 0
3 years ago
THERE ARE FOUR PEOPLE IN A ROOM THAT HAVEN’T MET BEFORE. THEY ARE TOLD TO SHAKE HANDS, EXACTLY ONCE, OF EVERY OTHER PERSON IN TH
liraira [26]

Answer:

6

Step-by-step explanation:

1 shook 2,3, and 4's hands

2 shook 3, and 4's hands

3 shook 4's hands

4 already got his hand shaken by everyone

1-2, 1-3, 1-4.

2-3, 2-4

3-4

(Anyone feel free to correct me. I'm not amazing at math just trying to help out.)

4 0
3 years ago
Find x1 and x2.
stepladder [879]

Answer:

x_1 = 7\\x_2 = 6

Step-by-step explanation:

To find x₁ and x₂ :

\left[\begin{array}{ccc}-4&1\\5&4\\\end{array}\right] \times \left[\begin{array}{ccc}x_1\\x_2\\\end{array}\right] + \left[\begin{array}{ccc}11\\-19\\\end{array}\right] = \left[\begin{array}{ccc}-11\\40\\\end{array}\right]

Step 1

Multiply first 2 x 2 matrix with 2 x 1 vector, we get

\left[\begin{array}{ccc}-4x_1&+  x_2\\5x_1&+  4x_2\\\end{array}\right] + \left[\begin{array}{ccc}11\\-19\\\end{array}\right] = \left[\begin{array}{ccc}-11\\40\end{array}\right]

Step 2

Add the 2 x 1 matrices on LHS, we get

\left[\begin{array}{ccc}-4x_1&+x_2&+11\\5x_1&+4x_2&-19\\\end{array}\right] = \left[\begin{array}{ccc}-11\\40\end{array}\right]

Step 3,

we get

-4x_1 + x_2 + 11 = -11

and

5x_1 + 4x_2-19=40

Step 4,

Simplify, we get

-4x_1+x_2=-22----(1)\\ 5x_1+4x_2=59----(2)

Step 5,

multiply eqn(1) by 4

we get

16x_1+4x_2=-88

Step 6,

eqn (2) - eqn(3)

we get

21x_1 = 147\\x_1 =\frac{147}{21} \\x_1= 7

substituting in eqn (1), we get

(-4 \times 7) + x_2 = -22

so, we get

x_2 = 6

Therefore

x_1 = 7\\x_2 = 6

5 0
3 years ago
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