MATHEMATICS MIDDLE SCHOOL

A horse corral is situated on a triangular plot of land. Two sides of the plot are 150 feet long and they meet at an angle of 55°. A fence is to be placed along the perimeter of the corral. How much fencing material is needed?a. 125 ft
b. 138.5 ft
c. 288.5 ft
d. 438.5 ft

Answers

Answer 1
Answer:

Answer : d. 438.5 ft

The diagram for the given statement is attached below.

Two sides AB and AC are equal so the angle B = angle C

WE know sum of three sides of a triangle = 180

angle A + angle B + angle C = 180

55 + B + C = 180

B + C = 180 -55 = 125

B and C are equal so we divide 125 by 2

angle B = 62.5 and angle C = 62.5

Now we apply sin law

(sin A)/(a) = (sin B)/(b)

(sin 55)/(a) = (sin 62.5)/(150)

150 * sin(55) = sin(62.5) * a

122.8728066 = sin(62.5) * a

a = ( 122.8728066)/(sin(62.5))

a= 138.52 feet

To find perimeter we add all the sides

150 + 150 + 138.52 = 438.52 feet

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20 POINTS 2. Order the group of quadratic functions from widest to narrowest graph.

Y=2x^2 ; y=4x^2 ; y=5x^2

See photo for answer options

Answers

Answer:

the answer is A i know bc i took the test and got a 100

Step-by-step explanation:

A carpenter has several boards of equal length. He cuts 3/5 of each board. After cutting the boards, the carpenter notices that he has enough pieces left over to make up the same length as 4 of the original boards. How many boards did the carpenter start with?

Answers

4 of the original boards have a summed length of 20 units. 5 x 4 = 20.
Since 2/5 is left from each board, you simply add them until the 2's add to 20.

So, 2 x 10 = 20. Hence, there are 10 2/5 boards.

That's just 4 of the boards that the 2/5 make up, but that should also mean that there are 10 3/5 boards as well.

30/5 + 20/5 = 50/5
Reduction = 10

The carpenter started with 10 5/5 boards.
:D

Solve the Systems of equations algebraically 4x+5y=15
-4x+6y+7

Answers
A- (5/4, 2)
B- (2, 5/4)
C- (4/5,2)
D (2, 4/5)

Answers

STEP 1:
4x + 5y= 15
-4x + 6y= 7
add the two above equations; the x term cancels out; solve for y

11y= 22
divide both sides by 11

y= 2


STEP 2:
substitute the y value in step 1 into either original equation

4x + 5y= 15
4x + 5(2)= 15

4x + 10= 15
subtract 10 from both sides

4x= 5
divide both sides by 4

x= 5/4


ANSWER: (A) x= 5/4, y= 2 or (5/4, 2)

Hope this helps! :)

Answer:

5/4, 2 or A on edge 2021

Step-by-step explanation:

took the test :)

How can you determine whether a triangle is a right triangle

Answers

Answer:

if there is a right angled square shape at the angle

Answer: MARK BRAINLIEST!!!!!!!!!

Because its the only triangle that has a 90 degree angle

Step-by-step explanation:

The total cost of underage drinking in the state of Florida in 2007 was __________ per Florida resident.A. $0.15

B. $1.50

C. $16.50

D. $165

Answers

The correct answer is
D.$165

3) Katie leaves a 25% tip ona restaurant bill of $82.OO Including the tip, what is the total amount of her bill?

Answers

1way

100% + 25% = 125% =1,25
82$ * 1,25 = 102,5$ whole
.....................................................................
2way

100% = 82$
25% = 0,25 = ?

82$ * 0,25 = 20,5$
100% + 25% = 82$ + 20,5$ = 102,5$ whole

................................................................
2way

82$ * (1 + 0,25( = 82$ * 1,25 = 102,5$
You need to multiply $82 by 0.25 (which is 25%). You get $20.50. Just add $82 and $20.50 to get your total cost of the bill. It'll be $102.50
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