Find the value of x in the triangle

Answer:

12

Step-by-step explanation:

Here we use SOHCAHTOA

Seeing as we have the hypotenuse and we are working to find out the opposite, we use SOH

Sin(x)= Opposite/Hypotenuse

Sin(45) = x/[tex]12\sqrt{2} \\[/tex]

×12 root 2

sin(45) times 12 root 2=  12

x=12

Answer:

im pretty sure its a

Step-by-step explanation:

Answer:

1 pound for 90 cents

Step-by-step explanation:

7.20 / 8 = 0.90

5 star, thank, and brainliest if helpful

Answer:

The value of x = 8.5

The value of FG = 8.5 units

Step-by-step explanation:

Given

Determining the value of x

As F is between E and G, so

EF = FG

7 = 2(x-5)

7 = 2x-10

2x = 7+10

2x = 17

divide both sides by 2

2x/2 = 17/2

x = 8.5

Thus,

The value of x = 8.5

Determining the value of FG

As

FG = 2(x-5)

substituting x = 8.5

FG = 2(8.5 - 5)

FG = 2(3.5)

FG = 7

Thus,

The value of FG = 8.5 units

Summary:

The value of x = 8.5

The value of FG = 8.5 units

Answer:

$374,080.00

Step-by-step explanation:

You want to calculate the interest on $40000 at 5.8% interest per month after 12 year(s).

The formula we'll use for this is the simple interest formula, or:

[tex]I=P*R*T[/tex]

Where:

P is the principal amount, $40000.00.

r is the interest rate, 5.8% per month, or in decimal form, 5.8/100=0.058.

t is the time involved, 12....year(s) time periods.

Since your interest rate is "per month" and you gave your time interval in "year(s)" we need to convert your time interval into "month" as well.

Do this by multiplying your time, 12 year(s), by 12, since there's 12 months in 1 year.

So, t is 144....month time periods.

To find the simple interest, we multiply 40000 × 0.058 × 144 to get that:

The interest is: $334080.00

Usually now, the interest is added onto the principal to figure some new amount after 12 year(s),

or 40000.00 + 334080.00 = 374080.00. For example:

If you borrowed the $40000.00, you would now owe $374080.00

If you loaned someone $40000.00, you would now be due $374080.00

If owned something, like a $40000.00 bond, it would be worth $374080.00 now.

Answer:

$6.98

Step-by-step explanation:

0.29x+1.23y=Total amount

x=pounds of potatoes

y=pounds of onions

Substitute:

0.29(3.7)+1.23(4.8)

Multiply:

1.073+5.904

Add:

6.977

Round:

6.98

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Note: This question is very generic and incomplete. So, I will be using the general properties of operation for a general expressions for the sack of understanding and concept.

Solution:

There are several properties of arithmetic operations. But here, we will be discussing about the common properties of operations.

1. Commutative property of Addition

2. Commutative property of Multiplication

3. Associative property of Addition

4. Associative property of Multiplication

Let's Start,

1. Commutative property of Addition:

a + b = b + a

it means that if we add 2 to 3 or 3 to 2, the result will be same.

2 + 3 = 3 + 2

5 = 5

Similarly.

2. Commutative property of Multiplication:

a x b = b x a

it means that if we multiply 2 to 3 or 3 to 2, the result will be same.

2 x 3  = 3 x 2

6 = 6

3. Associative property of Addition:

Let's suppose we have 3 variables now,

a, b and c

so,

a + (b + c)  = (a + b) + c

2 + (3 + 5)  = (2 + 3) + 5

2 + (8) = (5) + 5

10 = 10

Similarly.

4. Associative property of Multiplication:

a x (b x c)  = (a x b) x c

2 x (3 x 5)  = (2 x 3) x 5

2 x ( 15) = (6) x 5

30 = 30

Hence, these operations are very useful in solving the bigger and complex questions in mathematics.

Angle A (6x +11)  = 53

12x - 7 = 77

Answer:

x=12√2

y=45°

Step-by-step explanation:

as we know diagonal of a square

=a√2

=12√2

and

y=45°

Answer:

ones

Step-by-step explanation:

^^^^^^^^^^

Answer:

    [tex]\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}[/tex]      =   [tex]\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}[/tex]

Step-by-step explanation:

Step(i):-

Given  expression

        [tex]\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}[/tex]

      = [tex]\frac{(x+3) }{(x^{2} +1)}[/tex]

Step(ii):-

    = [tex]\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}[/tex]

Answer:

slope m = (5+1)/(-6+8) = 6/2 =3

Answer:

C≈16.34cm

Step-by-step explanation:

I think.

Answer:

C = 16.34

Step-by-step explanation:

If the radius is 2.6 cm, than the circumference is 16.34 cm.

The formula is c = pi x radius x 2

Answer:

15x+9y= 360----------1

x+y= 30--------------2

Step-by-step explanation:

Step one:

given data

let adult be x

and child be y

A hairstylist charges $15 for an adult haircut and $9 for a child haircut

She wants to earn $360 dollars

15x+9y= 360----------1

and cut 30 haircuts this week

x+y= 30--------------2

Step two:

Hence the system of equations for the situation is given as

15x+9y= 360----------1

x+y= 30--------------2

Answer:

35 more video games

Step-by-step explanation:

40 times 3 and then substract 85

120-85=35

Answer: the amount of money she can spend is $1875

Step-by-step explanation:

Answer: in attached

Step-by-step explanation:

See image

The answer is x-3. We don't know the brother's height, so we make it into a variable. You may pick any variable, but x is a common choice. We then subtract 3 from x, which would give us Aria's height. Since we don't know the height of the brother, we won't know Aria's height.

Answer:

2

Step-by-step explanation:

because their gretest common factor is 2

Answer:

The greatest common factor of 6 and 14 is 2

Step-by-step explanation:

The GCF is the largest whole number that goes into both of the other numbers

Hope this helps :-)

Answer:

p=5

Step-by-step explanation:

28-13=3p

15=3p

p=5

Answer:

5

Step-by-step explanation:

subtract 28 on both sides

-3p = -15

Divide both sides by-3

p = 5

Answer:

(30+10n)+(95+7n)= t

Step-by-step explanation:

Answer:

B

Step-by-step explanation: