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3 years ago

Please help last question

Mathematics

2 answers:

Artyom0805 [142]3 years ago

7 0

so I think 37\12 is the answer to this question

Alex3 years ago

5 0

I believe the answer is 37/12. Hope this helps!

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PLEASE ANSWER THIS FAST Will the red square and the orange square always equal the blue square? What colored square is the hypot

Vikentia [17]

Step-by-step explanation:

The area of the blue square will always equal the sum of the area of the orange and red rectangles

The pythagorian theorem:

a²+b² = c²

now let a be the side of the red triangle and b the side of the orange one

so a² is the area of the red triangle and b² is the area of the orange one

Let c be the side of the blue rectangle

so c² is the area of it

then what we concluded is right

the hypotenuse is the blue side since it is the larger one

6 0

3 years ago

Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less

Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

4 0

3 years ago

Guys, please help me with this question.

Elodia [21]

Answer:

Step-by-step explanation:

We are asked to perform the subtraction

x² + xy - 3y² - (5x² - xy + y²) ← distribute the parenthesis by - 1

= x² + xy - 3y² - 5x² + xy - y² ← collect like terms

= (x² - 5x²) + (xy + xy) + (- 3y² - y² )

= - 4x² + 2xy - 4y²

6 0

3 years ago

a right triangle is a positioned on a coordinate plane, point c is a the origin, the length of leg cb is twice as long as the le

Elis [28]

<span> If BA is d units the CB must be 2d units. B is on the x-axis, 2d units right of C so its coordinates are (2d, 0). A is d units above B at (2d, d). </span>

6 0

3 years ago

Meg lives in Indianapolis and wants to visit her mom in Lima. She has been meaning to go to a chiropractor in Dayton, so she is

ella [17]

Answer: 44 miles

WORKINGS

Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown

Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.

The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL

Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles

Therefore, The distance between Dayton and Lima, DL = 52 miles

The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.

That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles

Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.

7 0

3 years ago