All categories

3 years ago

Write the faction ration for each of the following. If m

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

4 0

Answer:

$\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1}, \\\\GI=5.0$

Step-by-step explanation:

In any right triangle, the following is true:

The sine of any angle is equal to its opposite side divided by the hypotenuse of the triangle. (o/h)

The cosines of any angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of any angle is equal to its opposite side divided by its adjacent side. (o/a)

Thus,

$\text{3. }\\\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1},$

$\text{4. }\tan 68^{\circ}=\frac{GI}{2},\\GI=2\tan68^{\circ}=4.95017370683\approx \boxed{5.0}$

You might be interested in

Themba buys 2 boxes of mayos on opening the boxes he find that an average of 2 are damagef in each box how many mayos altogether

borishaifa [10]

We would need to know how many are in each box to figure this out.

4 0

2 years ago

Solve the formula for the area of a parallelogram the height,

valkas [14]

Answer:

h=A/b

Step-by-step explanation:

Think of putting number in the place of the letter, for example

A is 4

b is 2

h is 2

4=2 x 2 then plug the numbers in the right spot

2=4/2 then see what can be rearranged or what is left to make the

equation true

5 0

3 years ago

natima [27]

Answer:

A traditional 401(k) is tax deferred because the income earned isn't taxed until the money is withdrawn.

Explanation:

A traditional 401(k) retirement plan is one that is sponsored by an employer.

When employees contribute to this plan the income is not subject to tax. Taxation is deferred till the beneficiary wants to make withdrawal.

Withdrawals are taxed at the employee's current income tax rate.

On the other hand the other popular retirement plan is the Roth 401(k) plan. It is also sponsored by the employer.

One major difference is that the Roth 401(k) is not tax deferred but are made with after tax dollars. However interest, dividends, and capital gains are tax free.

4 0

3 years ago

7y=28, do I add, subtract, divide, or multiply each side

myrzilka [38]

Steps to solve:

7y = 28

~Divide 7 to both sides

7y/7 = 28/7

~Simplify

y = 4

Best of Luck!

5 0

3 years ago

Read 2 more answers

What is the equation, in standard form of the parabola that contains the following points? (-2,18), (0,2), (4,42)

Vladimir79 [104]

Answer: y = 3 $x^{2}$ - 2x + 2

Step-by-step explanation:

The equation in standard form of a parabola is given as :

y = $ax^{2}$ + bx + c

The points given are :

( -2 , 18 ) , ( 0,2) , ( 4 , 42)

This means that :

$x_{1}$ = -2

$x_{2}$ = 0

$x_{3}$ = 4

$y_{1}$ = 18

$y_{2}$ = 2

$y_{3}$ = 42

All we need do is to substitute each of this points into the equation , that is , $x_{1}$ and $y_{1}$ will be substituted to get an equation , $x_{2}$ and $y_{2}$ will be substituted to get an equation and $x_{3}$ , $y_{3}$ will also be substituted to get an equation also.

Starting with the first one , we have :

y = $ax^{2}$ + bx + c

18 = a[ $(-2)^{2}$ ] + b (-2) + c

18 = 4a - 2b + c

Therefore :

4a - 2b + c = 18 ................ equation 1

substituting the second values , we have

2 = a (0) + b ( 0) + c

2 = c

Therefore c = 2 ............... equation 2

also substituting the third values , we have

42 = a[ $(4)^{2}$ ] + b (4) + c

42 = 16a + 4b + c

Therefore

16a + 4b + c = 42 ........... equation 3

Combining the three equations we have:

4a - 2b + c = 18 ................ equation 1

c = 2 ............... equation 2

16a + 4b + c = 42 ........... equation 3

Solving the resulting linear equations:

substitute equation 2 into equation 1 and equation 3 ,

substituting into equation 1 first we have

4a - 2b + 2 = 18

4a - 2b = 16

dividing through by 2 , we have

2a - b = 8 ............... equation 4

substituting c = 2 into equation 3 , we have

16a + 4b + c = 42

16a + 4b + 2 = 42

16a + 4b = 40

dividing through by 4 , we have

4a + b = 10 ................ equation 5

combining equation 4 and 5 , we have

2a - b = 8 ............... equation 4

4a + b = 10 ................ equation 5

Adding the two equations to eliminate b , we have

6a = 18

a = 18/6

a = 3

Substituting a = 3 into equation 4 to find the value of b , we have

2(3) - b = 8

6 - b = 8

b = 6 - 8

b = -2

Therefore :

a = 3 , b = -2 and c = 2

Substituting these values into the equation of parabola in standard form , we have

y = 3 $x^{2}$ - 2x + 2

3 0

3 years ago