MATHEMATICS HIGH SCHOOL

Which three measurements could be the lengths of the sides of a triangle? A.5cm,3cm,9cm
B.5cm,2cm,7cm
C.5cm,2cm,2cm
D.5cm,3cm,7cm

Answers

Answer 1
Answer: A). No. Even end-to-end, the 5 and the 3 couldn't cover the 9.

B). Technically yes, but not really. End-to-end, the 5 and the 2 would lay down
right on top of the 7.  It would be a triangle with two angles of 0° and one angle
of 180°.  The base would be 7, the height would be zero, and the whole thing
would just look like a piece of line.

C). No. Even end-to-end, the 2 and the other 2 couldn't cover the 5.

D). Yes. A cute little scalene triangle.
Answer 2
Answer: a,b,c-lengts\ of\ the\ sides\ of\ a\ triangle\n\nIf\ a\leq b\leq c\ then\ a+b > c\n\nA.\n5+3=8\not>9-NO\nB.\n5+2=7\not>7-NO\nC.\n2+2=4\not>5-NO\nD.\n5+3=8 > 7-YES

Answer:D

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Skate Land charges a $75 facility usage fee for a birthday party rental and $7 per person. The cake for the party has already been ordered and costs $47. The Smith family wants to spend less than $250 for the entire birthday party. Using the inequality 7p+75+47< 250, what would be the largest amount of people they could have at the party? Let p = the number of people invited.
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Find the equation of the line that passes through the midpoint of the line segment between P1(2, 4) and P2(−4, 2) and has slope 7. Let y be the dependent variable and let x be the independent variable.

Enter an equation for the linear function f(x) using the given information.slope −
8
7
, y−intercept 9

Answers

f(x)=87x+9

F(x) is basically saying that function X is equal to... then you use the form of y=mx+b to get the equation. 
y=mx+b
m=slope=-8/7
b=y-intercept=9

y=-7/8x+9

Erica can run 1/6 of a kilometer her school is 3/4 of a kilometer away from her home at this this speed how long would it take erica to run home from school

Answers

Answer:

4 minutes 30 seconds

Step-by-step explanation:

Given:

Erica can run 1/6 of a kilometer in one minute.

Her school is 3/4 of a kilometer away from her home.

Question asked:

How long would it take Erica to run home from school = ?

Solution:

As here distance is  given and also speed is given, we will find time taken to run from home to school by using,

Speed=(Distance)/(Time) \n Time =(Distance)/(Speed) \n

         =(3)/(4) /(1)/(6) \n\n =(3)/(4) *(6)/(1) \n\n =(18)/(4) \n \n =(9)/(2) \n =4.5 \ minutes

Therefore, it takes 4 minutes 30 seconds Erica to run home from school.

Intercepts of 9x^2+9y=81

Answers

x=0\n \n 9x^2+9y=81\n \n 9.0^2+9y=81\n \n 9y=81\n \n y=(81)/(9)\n \n \boxed{y=9}

y=0\n \n 9x^2+9.0=81\n \n 9x^2=81\n \n x^2=(81)/(9)\n \n x^2=9\n \n \boxed{x= \pm 3}

An average Asian elephant weighs about 8,800 pounds. How many tons and pounds is this? a 4 tons 800 pounds b 5 tons 1,200 pounds c 8 tons 200 pounds d 10 tons 200 pounds

Answers

Answer:4 tons 800 pounds

Step-by-step explanation: i just looked it up lolz

Final answer:

An Asian elephant weighing 8,800 pounds can be stated as weighing 4 tons and 800 pounds. This is done by understanding that 1 ton equals 2,000 pounds, and converting accordingly.

Explanation:

The question asks about the conversion of weight in the units of pounds to tons and pounds. In particular, the weight of an Asian elephant, approximately 8,800 pounds, is used as an example.

Knowing that 1 ton is equivalent to 2,000 pounds, we can organize the given weight of the elephant into tons and the remaining pounds. By dividing 8,800 pounds by 2,000, we get 4.4 tons. This corresponds to 4 tons and .4 tons extra, which when converted back to pounds (by multiplying .4 by 2,000) gives us 800 pounds.

Therefore, an Asian elephant weighing 8,800 pounds weighs 4 tons and 800 pounds. So, the correct answer to the question is the option a) 4 tons 800 pounds.

Learn more about Weight Conversion here:

brainly.com/question/11429990

#SPJ2

2x+4y=12 y=0.25x-3 What is the solution to the system of equations?(–1, 8)
(8, –1)
(5,1/2) 0r (1/2,5)

Answers

{ 2 x + 4 y = 12
   y = 0.25 x -3

Arrange equation variables of elimination :

{ 2 x + 4 y = 12
 -0.25 x  + y = - 3

Multiply  ( -0.25 x +y = - 3 )  by 8 :

8y - 2 x =  - 24 

{ 2 x + 4y = 12
  -2x + 8y  = -24
----------------------
        12 y = -12

y = - 12 / 12

y = - 1

For x :

2 x  + 4y = 12

2 x + 4 ( - 1 ) = 12

2 x - 4 = 12

2 x = 12 + 4

2 x =  16

x = 16 / 2

x = 8

x = 8 and y = - 1  =>  ( 8 , - 1 )

Answer b

hope this helps!

Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.Short = 7

Hypotenuse =

Answers

Answer:

Length of the hypotenuse is 14 units.

Step-by-step explanation:

30°-60°-90° Right triangle-

The length of the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.

The length of the longer leg, which is across from the 60 degree angle, is the product of length of the shorter leg and √3.

As here the length of short leg is given 7, so length of the hypotenuse is 2* 7=14

Answer:

14 units.

correct me if im wrong ;)
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