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Maksim231197 [3]
10 months ago
13

Bert has 4 dogs and 5 cans of dog food. Howmuch dog food does each dog get if Beft giveseach dog the same amount?

Mathematics
1 answer:
rewona [7]10 months ago
5 0

Given,

The number of dogs Bert have is 4.

The number of dog food cans bert have is 5.

The amount of food Bert give to their dogs is,

\begin{gathered} \text{Amount of food = }\frac{Number\text{ of food cans}}{number\text{ of dogs}} \\ =\frac{5}{4} \\ =1\frac{1}{4} \end{gathered}

Hence, each dog will get 1(1/4) or (5/4) amount of food.

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Write the rectangular equation (x+5) 2 + y 2 = 25 in polar form.
Serjik [45]

Answer:

r = -10*cos(t)

Step-by-step explanation:

To write the rectangular equation in polar form we need to replace x and y by:

x=r*cos(t)\\y=r*sin(t)

Replacing on the original equation, we get:

(x+5)^2+y^2=25\\x^2+10x+25+y^2=25\\(r*cos(t))^2+10*(r*cos(t))+25+(r*sin(t))^2=25

Using the identity sin^2(t)+cos^2(t)=1 and solving for r, we get that the polar form of the equation is:

(r*cos(t))^2+10*(r*cos(t))+25+(r*sin(t))^2=25\\r^2cos^2(t)+10rcos(t)+r^2sin^2(t)=0\\r^2cos^2(t)+r^2sin^2(t)=-10rcos(t)\\r^2(cos^2(t)+sin^2(t))=-10rcos(t)\\r^2=-10rcos(t)\\\\r=-10cos(t)

3 0
3 years ago
Which equation is NOT an identity?
Simora [160]

Answer:

D

Step-by-step explanation:

If you add 0 to anything, you do not have anything new when you are finished. A is an identity.

When you multiply 1 times anything, you do not get anything new. B is an identity

When you switch the order of two numbers and they are not affected by signs, then you are using the commutative property of addition. Nothing changes. C is an identity.

D is the problem child. Nothing I can think of right now will not change will you add 1 to it. If you can think of something that doesn't change when you add one to it, please put it in the comments. Otherwise, D is not an identity.

7 0
3 years ago
If x-y=√3, x²-y²=√5 & a²-a√3+1=0, then find out the value of x+y
Lemur [1.5K]

Answer:

√15/3

Step-by-step explanation:

x² - y² =√5

(x +y)*(x -y) = √5

(x +y) * √3 = √5

x+y  = √5 / √3

x +y = √5*√3 / √3*√3

x +y = √15/3

4 0
2 years ago
10 3/9- 10 2/5 Im to lazy to do it please help me out.
coldgirl [10]

Answer:

\boxed{ \ -  \frac{3}{45} }

Step-by-step explanation:

10 3/9 - 10 2/5

we need to convert mixed fractions to improper fractions

10 \frac{3}{9}  =  \frac{10 \times 9 + 3}{9}  =  \frac{93}{9}

10 \frac{2}{5}  =  \frac{10 \times 5 + 2}{5}  =  \frac{52}{5}

Now, we have 93/9 - 52/5

We need to equate the denominators, before subtracting them.

\frac{93}{9}  -  \frac{52}{5}  =  \frac{93 \times 5}{45}  -  \frac{52 \times 9}{45}

\frac{465}{45}  -  \frac{468}{45}

\frac{ - 3}{45}

\boxed{ -  \frac{3}{45} }

The result of 10 3/9- 10 2/5 is - 3/45

8 0
2 years ago
What is the distance between the points (2, 10) and (-6, 4) on the coordinate plane?
Galina-37 [17]
It's 3/4 because (y2-y1)/(x2-x1)
3 0
3 years ago
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