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3 years ago

Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.

Mathematics

1 answer:

belka [17]3 years ago

8 0

Answer:

x=63.256% 63.3-rounded to the nearest tenth.

Step-by-step explanation:

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Urgent help! This is very important please help me fast! How do you do: Expand & simplify:(x 4)(x 2)

ahrayia [7]

So the question is asking: (x-4)(x-2)
because there is a bracket in between the two expressions it means we have to multiply them together: (x-4) x (x-2)

you can break down the question into smaller parts:
x multiply x
x multiply -2
-4 multiply x
-4 multiply -2

here are the answers:
x^2 (means x squared)
-2x
-4x
8 (because when you multiply two negative numbers it makes a positive)

now you put it into an expression (this is expanding):
x^2 - 2x - 4x + 8

to simplify it you collect like terms:
x^2 - 6x + 8

The above is the answer :)

4 0

3 years ago

Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account

Diano4ka-milaya [45]

Answer:

$\$180.55$

Step-by-step explanation:

step 1

Simple interest

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04$

substitute in the formula above

$A=2,250(1+0.04*10)$

$A=2,250(1.4)$

$A=\$3,150$

step 2

Interest compounded annually

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1$

substitute in the formula above

$A=2,250(1+\frac{0.04}{1})^{1*10}$

$A=2,250(1.04)^{10}$

$A=\$3,330.55$

step 3

Find the differences between the two final amounts

$A=\$3,330.55-\$3,150=\$180.55$

5 0

3 years ago

Helppppp with this. What do I have to do?

vaieri [72.5K]

You need to use the grids to draw rectangles which meet the requirements to help you put the answers in on the right.

1) Short side of 7 and long side of 9.

2) Short side of 9 and long side of 10.

3) Short side of 3 and long side of 8.

4) Short side of 4 and long side of 9.

5) Short side of 3 and long side of 5.

6) Short side of 6 and long side of 8.

7) Short side of 1 and long side of 2

8) Both sides 10 (this is technically a square).

9) Short side of 6 and long side of 9.

10) Short side of 7 and long side of 8.

11) Short side of 2 and long side of 3.

12) Short side of 6 and long side of 9.

You can draw these a few different ways to still get a correct result, so above are just one way of doing it.

5 0

3 years ago

How do you find the area of the circle if the height is 1.5

34kurt

Answer:

7.065

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Explain how to graph a piecewise function

tester [92]

Just graph the function up to and/or including the points indicated.

- if you have a piecewise function defined as y=x when x < 0
y=-x when x >=1

You would graph y=x from the negative direction up to 0 (but leaving an open circle on 0 because the function is not defined there

Then start at point 1 (this time with a closed circle because y=-x is defined at 1, and graph y=-x.

4 0

3 years ago