2 years ago

Pythagorean Theorem, A flag pole is 86 inches long. Can it be stored against a closet wall that measures 30 inches by 80 inches?

Mathematics

1 answer:

Flauer [41]2 years ago

3 0

Answer:

Step-by-step explanation:

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Find the measure of the sides of angle ABC with vertices A(1,5), B(3,-2), and C(-3,0). Classify the triangle

Charra [1.4K]

Answer:

$AB=\sqrt{53},\ BC=\sqrt{40},\ CA=\sqrt{41}\\It\ is\ an\ acute\ triangle$

Step-by-step explanation:

The distance between two points $(x_1,y_1),\ (x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

Here $A(1,5),\ B(3,-2),\ C(-3,0)$ are the vertices of a triangle.

$AB=\sqrt{(-2-5)^2+(3-1)^2}=\sqrt{(-7)^2+(2)^2}=\sqrt{49+4}=\sqrt{53}=7.28\ unit\\\\BC=\sqrt{(0+2)^2+(-3-3)^2}=\sqrt{(2)^2+(-6)^2}=\sqrt{4+36}=\sqrt{40}=6.32\ unit\\\\CA=\sqrt{(5-0)^2+(1+3)^2}=\sqrt{(5)^2+(4)^2}=\sqrt{25+16}=\sqrt{41}=6.40\ unit$

Longest side $=AB$

$AB^2=53\\BC^2+CA^2=40+41=81\\\Rightarrow AB^2$

Hence this is an acute triangle.

6 0

2 years ago

There are 59 boys and 49 girls in this year's baseball league. If the league has nine teams how many players will be on each tea

liraira [26]

Answer: There are 12 players in each team.

Step-by-step explanation:

Since we have given that

Number of boys in this year's baseball league = 59

Number of girls in this year's baseball league = 49

Total number of players in altogether is given by

$59+49=108$

Now, there are 9 teams in the league ,

So,

$\text{Number of players in each team}=\frac{108}{9}=12$

Hence, there are 12 players in each team.

8 0

2 years ago

You are opening a snow cone stand. Your cups, which are shaped like a cone, are 4" tall and have a 6" diameter. How much room is

aleksley [76]

Answer:

I'm not too sure but I think it's 37.7

Step-by-step explanation:

radius of the base times height is supposed to equal the volume but I'm bad at geometry

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2 years ago

What is 4r + 3r + 7y + 5r - 2y - 6r ? A. 5r + 5y B. 29r - 27y C. 27ry

Sonja [21]

Step-by-step explanation:

It's 6r+5y. But it's not in the option

3 0

2 years ago

Rent-A-Swag has a 9% late fee each day your rentals are overdue. What is the fee for a $39 rental that is 13 days late?

kirill [66]

Answer:

3.51 for 1 day 45.63 for 13 days u could also look up what's 9% of 39 then just times it by 13

7 0

2 years ago

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