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pishuonlain [190]
3 years ago
13

5/14 divided by 7/8 as a fraction

Mathematics
2 answers:
lozanna [386]3 years ago
7 0

Answer: 20/49

Step-by-step explanation:

5/14 : 7/8 = 20/49

Westkost [7]3 years ago
6 0

Answer:

20/49

Step-by-step explanation:

You might be interested in
A farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. Find the maximum area he can close.
Margarita [4]

Answer:

Width of 37.5 feet and length of 50 feet will maximize the area.

Step-by-step explanation:

Let w represent width and l represent length of the pen.

We have been given that a farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. We are asked to find the dimensions that will maximize the area.

We can see from the attachment that the perimeter of the pens would be 4w+3l.

We can set our given information in an equation 4w+3l=300.

The area of the two pens would be A=2l\cdot w.

From perimeter equation, we will get:

w=\frac{300-3l}{4}

Substituting this value in area equation, we will get:

A=2l\cdot (\frac{300-3l}{4})

Since we need to maximize area, so we need to find derivative of area function as:

A=\frac{600l-6l^2}{4}

Bring out the constant:

A=\frac{1}{4}*\frac{d}{dl}(600l-6l^2)

A=\frac{1}{4}*(600-12l)

A=150-3l

Now, we will set our derivative equal to 0 as:

150-3l=0

150=3l

\frac{150}{3}=\frac{3l}{3}

50=l

Now, we will substitute l=50 in equation w=\frac{300-3l}{4} to solve for width as:

w=\frac{300-3(50)}{4}

w=\frac{300-150}{4}

w=\frac{150}{4}

w=37.5

Therefore, width of 37.5 feet and length of 50 feet will maximize the area.

8 0
3 years ago
What is the answer to the question?​
Andreyy89

Answer:

17

Step-by-step explanation:

We have two congruent triangles here.  Thus, b must be 17.

3 0
2 years ago
Read 2 more answers
Whoever answers I’ll mark brainliest
Kamila [148]

Answer:

SAS Postulate

Two sides and the included angle of one triangle are congruent to two sides and the included angle in a second triangle, then the two triangles are congruent.

4 0
2 years ago
Please simplify this it would help a lot
dexar [7]

Answer:

-1

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is the center and radius of the circle given by x2 + y2 - 10x - 12y + 24 = 0?​
AveGali [126]

Answer:

centre (5, 6 ) , r = \sqrt{37}

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

given

x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )

x² - 10x + y² - 12y = - 24

using the method of completing the square

add ( half the coefficient of the x / y terms)² to both sides

x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36

(x - 5)² + (y - 6)² = 37 ← in standard form

with centre (h, k ) = (5, 6 ) and r = \sqrt{37}

3 0
2 years ago
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