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2 years ago

A farmer owns a total of 16 chickens and rabbits.The chickens and rabbits have 54 legs altogether.How many rabbits are there.

Mathematics

1 answer:

oee [108]2 years ago

6 0

Answer:

Step-by-step explanation:

Tama poyan

27+27=54

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Which graph represents the solution set of this inequality? -3b - 15 > -24

Natasha2012 [34]

Answer:

REASON:

It's not B or D because it's increasing and it's not C because if -3 - 15 is -18 then I am pretty sure it's not going to be 3 because it's multiplying

3 0

2 years ago

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Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

7 0

2 years ago

-x+y=15−x+y=15 and -5x-3y=27−5x−3y=27 Solve the system of equations by combining the equations

Arisa [49]

Answer:

x = -9, y = 6.

Step-by-step explanation:

-x + y = 15

-5x - 3y = 27

From the first equation:

y = x + 15.

Substituting for y in second equation:

-5x - 3(x + 15) = 27

-8x - 45 = 27

-8x = 72

x = -9.

Now plug x = -9 into equation 1

-(-9) + y = 15

y = 15 -9 = 6.

8 0

2 years ago

A military aircraft can travel 740 miles per hour. The distance between Tyndall Air Force Base in Florida and Lakenheath Air For

BARSIC [14]

Answer: 3.5 h

Step-by-step explanation:

1. Data:

a) s = 740 miles / h

b) d = 2,567 miles

c) t = ?

2. Equation:

speed = distance / time

s = d / t

3. Solution:

Solve the equation for t:

s = d / t ⇒ t = d / s

Substitute values:

t = 2,567 miles / (740 miles/h) ≈ 3.47 h ≈ 3.5 h

5 0

2 years ago

The Width of a rectangular Park is 10 metres shorter than its length.if the area of the park is 236 square metre find its length

madam [21]

Answer:

let length be l

breadth=l-10m

area of rectangular park=236m²

Step-by-step explanation:

area of rectangular park=236m²

l×(l-10)=236

l²-10l-236=0

l²-2.l.5+5²-236-5²=0

(l-5)²-236-25=0

(l-5)²=261

(l-5)=√261

(l-5)=16.15

l=16.15+5=21.15

b=l-10=21.15-10=11.15

3 0

2 years ago

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