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Neporo4naja [7]
3 years ago
12

Please help !!!! The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the othe

r leg of the triangle?
3

Square root of 29

Square root of 21

7
Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0

Answer:

\sqrt{21}

Step-by-step explanation:

Use the pythagorean theoreom, a^2+b^2=c^2.

We know the hypontenuse and one of the sdes

a^2+2^2=5^2

a^2+4=25

subract four from both sides to isolate variable

a^2=21

square root both sides and you have the answer of sq root 21!

Edit: the answer for your next question is the last one b/c it satisfies the Pythagorean Theorem

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In planning her retirement, Liza deposits some money at 2.5% interest, with twice as much deposited at 4.5%. Find the amount dep
Harlamova29_29 [7]

Let us assume $x is deposit at 2.5% interest.

At the rate 4.5% deposited amount is twice of the amount deposited at 2.5%.

Therefore, at the rate 4.5% deposited amount = $2x.

Total interest earned by both different deposited amount at the rate 2.5% and at the rate 4.5% = $1150.

We can setup an eqation now,

Interest earned on $x at 2.5% + interest earned on $2 at 4.5% = $1150.

2.5% of x + 4.5% of 2x = 1150

Percentage could be written in decimals by dividing by 100.

Therefore, 2.5% = 2.5 /100= 0.025 and 4.5% = 4.5/100 = 0.045.

We could rewrite above equation as,

0.025*x + 0.045 * 2x = 1150

0.025x + 0.09x =1150

Adding 0.025x + 0.09x, we get 0.115x.

So, 0.115x=1150.

Dividing both sides by 0.115.

0.115x/0.115=1150/0.115.

x= $1000.

2x= 2* 1000= $2000

Therefore,

$1000 deposited at 2.5% and $2000 deposited at 4.5%.



7 0
3 years ago
एउटा आयताकार चाउरको परिमिति 1004 m भए सो चउरको
frez [133]

Answer:

502m

Step-by-step explanation:

let x and y represent the length and breadth of rectangular meadow respectively.

Given,

Perimeter of the meadow =1004m

or,2(l+b)=1004m

or2(x+y)=1004m

orx+y=1004m/2

or,x+y=502m

i.e sum of length and breadth

5 0
3 years ago
Solve for x
KIM [24]
7.5 ft because
6/30 = .0005 so then x we factor in equals 7.5 for
8 0
3 years ago
What numbers can give me 8 when added and 30 when multiplied
Paul [167]
In this problem, it is important to take note that the number of numbers to be utilized isn't specified so it can be up to a thousand numbers. It wasn't also specified if repeating of numbers is allowed or not. So with those taken into consideration and the condition presented in mind, the numbers that can give you 8 when added and 30 when multiplied are 2, 3, 5, -1, and another -1. The derivation from this is mainly from factorization and a little bit of logic.

here is the solution.

2 x 3 x 5 x -1 x -1 = 30
6 x 5 x -1 x -1 = 30
30 x -1 x -1 = 30
-30 x -1 = 30
30 = 30

2 + 3 + 5 + -1 + -1 = 8
5 + 5 + -1 + -1 = 8
10 + -1 + -1 = 8
9 + -1 = 8
8 = 8
7 0
3 years ago
Simplify the expression<br>-7p + -2 + -2 + -10 + -9​
lakkis [162]

Answer:

=−7p−23

Step-by-step explanation:

7 0
3 years ago
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