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3 years ago

Solve for k 3.1+k=5.67

Mathematics

2 answers:

LuckyWell [14K]3 years ago

4 0

Answer:

k=2.57

Step-by-step explanation:

Okay so first things first we have to eliminate 3.1 so we can get the variable k by itself.

3.1+k=5.67

-3.1 -3.1

k=2.57

Just in case if you're confused we have to isolate thats why we were subtracting both sides by 3.1

(Hope you find this helpful ;w;)

cluponka [151]3 years ago

3 0

Answer:

k =2.57

Step-by-step explanation:

3.1+k=5.67

Subtract 3.1 from each side

3.1-3.1+k=5.67-3.1

k =2.57

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Find all angles and pls show steps

Ghella [55]

Answer:

Both angles have a measure of 134degrees, y = 27degrees.

Step-by-step explanation:

As per what is given in the problem:

There are 2 parallel lines, both are intersected by a transversal.

Remember the theorem, when two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.

The is meanse that:

3y + 53 = 7y - 55

Solve using inverse operations:

3y + 53 = 7y - 55

+55 +55

3y + 108 = 7y

-3y -3y

108 = 4y

/4 /4

27 = y

Now, substitute back in to find the value of the angle:

3y + 53

y = 27

3 ( 27 ) + 53

81 + 53

= 134

Since the angles are alternate exterior, they are congruent, hence both angles have a measure of 134degrees.

7 0

3 years ago

How to write out a one-step equation for a word problem. Maggie spent half of the money in her savings account on a new computer

Fittoniya [83]

Answer:

(1/2)s = 345

s = 690 (Maggie's savings balance)

Step-by-step explanation:

For any problem, word problem or otherwise, you start be reading and understanding the problem. You should specifically look for

what you're being asked to find (what is the question to answer)
the information you're given that is relevant to the question asked.

Here, you're asked to find a savings account balance. You're told that $345 is half that amount.

After you decide what you're looking for and the given relevant information, you use the problem statement and your personal knowledge to write one or more equations relating what you know to what you want to find.

A first step for doing this is to define any necessary variables. In this problem, we can use "s" for the original savings balance (in dollars). (I like to choose letters that remind me what they stand for. "x" or "y" can sometimes get mixed up. For a one-variable problem, it doesn't really matter what you call it. It is helpful to be clear about the units of measure of any variables. Confusion there can also lead to errors.)

The problem statement tells us that half the savings account amount is $345, so our equation is ...

(1/2)s = 345

The "one step" required to solve this so to multiply both sides of the equation by 2.

s = 690

Maggie had $690 in her savings account before she bought the computer.

5 0

3 years ago

Use a half-angle identity to find the exact value of tan 22.5°.

dusya [7]

Answer:

$\sqrt{2} -1$

Step-by-step explanation:

22.5 degrees is half of 45 degrees (special angle for which we know exactly the value of all three basic trigonometric functions (sine, cosine, and tangent).

So we start recalling the formula for tangent of a half angle: $tan(\frac{\alpha }{2} )= \frac{1-cos(\alpha) }{sin(\alpha) }$

We need just the values of:

$sin(\alpha )=sin(45^o)=\frac{\sqrt{2} }{2}$

and of

$cos(\alpha )=cos(45^o)=\frac{\sqrt{2} }{2}$

to answer the question. Then, we use those values in the original formula for tangent of a half angle:

$tan(\frac{\alpha }{2} )= \frac{1-cos(\alpha) }{sin(\alpha) }\\tan(22.5^o)=\frac{1-\frac{\sqrt{2} }{2} }{\frac{\sqrt{2} }{2}} =\frac{2-\sqrt{2} }{\sqrt{2} } =\frac{2\sqrt{2}-2 }{2} =\sqrt{2} -1$