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3 years ago

HELP PLS!!

Mathematics

2 answers:

Aleksandr [31]3 years ago

6 0

Answer:

Step-by-step explanation:

Completing the rectangle formed by legs 9 and 7 , gives us a right triangle on the left.

Using the sine ratio and the exact value sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{9}{y}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

y = 9 $\sqrt{2}$

Using the tan ratio in the right triangle and the value tan45° = 1 , then

tan45° = $\frac{opposite}{adjacent}$ = $\frac{9}{adj}$ = 1

adj = 9

Then

x = 9 + 7 = 16

Vilka [71]3 years ago

5 0

Answer:

Step-by-step explanation:

Thanks to the given angle, we can say that the triangle formed by tracing another height has two congruent legs

x = 9 + 7 = 16

y = √2 * 9^2 = 9√2

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You deposit $300 in a savings account. The account earns 2% simple interest per year.

Sholpan [36]

Answer:

Answer:

a. ----> $10

b. ----> $110

Step-by-step explanation:

principle ( p ) = $100

time ( t ) = 10 years

rate ( r ) = 11%

simple interest = (p × r × t)÷ 100

= ( $100 × 11 × 10 )÷ 100

= 11000 ÷ 100

= $110

interest = simple interest - principle

interest = $110 - $100

= $10

8 0

3 years ago

Subtract the rational expression 1/x^2-x-6 - x/x+2.

Aleksandr [31]

Answer:

Step-by-step explanation:

x² - x -6 = x² + 2x - 3x - 3*2

=x(x + 2) - 3(x + 2)

= (x + 2 )(x - 3)

$\frac{1}{x^{2}-x-6}+\frac{x}{x+2}=\frac{1}{(x +2 )(x - 3)}-\frac{x}{x + 2}\\$

$= \frac{1}{(x+2)(x-3)}-\frac{x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x^{2}+3x}{(x+2)(x-3)}\\\\$

4 0

3 years ago

PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A.

PolarNik [594]

Answer:

A: C=45h+30

B: C=$322.50

Step-by-step explanation:

A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.

B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:

C=45h+30

C=45(6.5)+30

Im using a decimal because it should be clear 1/2=0.5

C= 292.5+30

45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30

This results in the answer of:

C=$322.50

3 0

3 years ago

This figure represents a small brick that is to be covered on all sides with a striped fabric. How much fabric is needed to cove

kati45 [8]

For a question like this you need to find the surface area
The formula is :
b x w x h (base x width x height)

So you multiply 3 1/2 x 6 x 5 1/2 = 22.5

Answers 22.5

7 0

2 years ago

Read 2 more answers

3x+2y=3y-2 line 1 x+y=10 line 2 solve for x/y

GrogVix [38]

Answer:

x/y=1/4

Step-by-step explanation:

3x+2y=3y-2

3x=3y-2y-2

3x=y-2

y=3x+2

x+y=10

x+3x+2=10

4x+2=10

4x=10-2

4x=8

x=8/4

x=2

2+y=10

y=10-2

y=8

x/y=2/8=1/4

3 0

4 years ago