What are some real world examples of an obtuse angle?

A pizza contains 8 slices. Isabella and her friends want to order pizza. There is a total of six people eating. How many pizzas

Masteriza [31]

20 people are there. Each eat 4 slices of pizza.

Each pizza contains 8 slices.

By forming it as an equation,

20(4) = 8(x pizza)

No of pizzas to be ordered = 10

7 0

3 years ago

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Find an equation of the line through these points (15,2.2) (5,1.6). Write answer in a slope-intercept form

nadya68 [22]

Answer:

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

$m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}$ where two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (15,2.2) and (5,1.6):

$m=\frac{\displaystyle 1.6-2.2}{\displaystyle 5-15}\\\\m=\frac{\displaystyle -0.6}{\displaystyle -10}\\\\m=\frac{\displaystyle 0.6}{\displaystyle 10}\\\\m=\frac{\displaystyle 0.3}{\displaystyle 5}\\\\m=\frac{\displaystyle 3}{\displaystyle 50}$

Therefore, the slope of the line is $\frac{\displaystyle 3}{\displaystyle 50}$ . Plug this into $y=mx+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

2) Determine the y-intercept (b)

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

Plug in a given point and solve for b:

$1.6=\frac{\displaystyle 3}{\displaystyle 50}(5)+b\\\\1.6=\frac{\displaystyle 3}{\displaystyle 10}+b\\\\1.6-\frac{\displaystyle 3}{\displaystyle 10}=\frac{\displaystyle 3}{\displaystyle 10}+b-\frac{\displaystyle 3}{\displaystyle 10}\\\\\frac{\displaystyle 13}{\displaystyle 10}=b$

Therefore, the y-intercept is $\frac{\displaystyle 13}{\displaystyle 10}$ . Plug this back into $y=\frac{\displaystyle 3}{\displaystyle 50}x+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

I hope this helps!

5 0

3 years ago

From his home, Clayton would have to walk 4 miles north to get to his friend Miki's house and 1 mile east to get to his friend D

iren2701 [21]

The houses form a right triangle. Using a²+b²=c² you will find that the distance from Clayton’s house to Danny’s would be 4.1 miles. Adding it all up, the distance would be 9.1 miles of walking.

7 0

3 years ago

Helllp pls help and don’t comment if u don’t know

inna [77]

Answer:

a) 7z³+2z²-2z+1

b)2x²+3x-8

Step-by-step explanation:

a) (7z³+4z-1)+(2z²-6z+2)

7z³+2z²-2z+1

b) (5x²-2x-1)-(3x²-5x+7)

5x²-2x-1-3x²+5x-7

2x²+3x-8

4 0

2 years ago

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Question is in the picture

padilas [110]

Answer:

3.2

Step-by-step explanation:

Add up the first group then add up the second group then divide the group Y by group X

round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth’s place (the first digit to the right of the decimal point).

Hope This Helps bud ^^

6 0

3 years ago

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