First we divide the number of cats by its ratio:
35 / 5 = 7
Now we times this number by the ratio of dogs:
7 x 6 = 42
So there are 42 dogs at the shelter today
Answer:
the length of DB is 17 in
Step-by-step explanation:
Consider the sketch attached.
We will draw an imaginary line from point C to met line AB at point E.
A right-angled triangle will now be formed between points CBE.
The dimensions of the right-angled triangle will be:
CB = 10 in
CE= 8 in
EB = unknown
We will now proceed to find out the length of side EB using the Pythagoras' theorem.

From the shape, we can find out that another right-angled triangle is made between points DAB.
The dimensions of the triangle are:
DA= 8in
AB = 9 in + 6 in = 15 in
DB = unknown.
We will now proceed to find out the length of side DB using the Pythagoras' theorem.

Therefore, the length of DB is 17 in
Answer:
The sum of coefficients = 9
Step-by-step explanation:
The given expression is,
3x⁴ + 5x² + x
There are three terms in the given expression. All the terms contains variable x.
<u>To find the coefficients of each terms
</u>
term coefficients
3x⁴ 3
5x² 5
x 1
<u>To find the sum of coefficients
</u>
sum = 3 + 5 + 1 = 9
Therefore the sum of coefficients = 9
Y=(1/3)x+(8/15). Just subtract the 5x over and then divide everything by -15 to get y by itself.
(n+5)^2=48
sqrt both sides
n+4=+/-4√3
minus 4 both sides
n=-4+/-4√3
-4+4√3>0 so this cannot be the value of n
n=-4-4√3
the number is -4-4√3