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4 years ago

Solve for a. ab +c=d a=b+c/d O a = b/(C-d) O a = (d - c)/b

Mathematics

2 answers:

natima [27]4 years ago

7 0

Answer:

Step-by-step explanation:

ab +c=d

SUBTRACT c FROM BOTH SIDES.

ab + c (-c) = d - c

ab + 0 = d - c

ab = d-c

Divide both sides by b.

ab/b = (d-c)/b

a = (d-c)/b (FIRST EQUATION)

a=b+c/d

THIS IS ALREADY SOLVED FOR a. (SECOND EQUATION)

O a = b/(C-d)

O a = (d - c)/b

ludmilkaskok [199]4 years ago

4 0

Answer:

Value : c = ad - b

Step-by-step explanation:

Given the equation: Solve for c;

Multiply both sides by d in we get;

subtract b from both sides we have;

Simplify:

ad - b = c

Therefore, the value of c is, ad -b

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Find the measure of the indicated angle to the nearest degree. 8 22 ?

Blizzard [7]

Answer:

21 degrees

Step-by-step explanation:

To find this, we are going to use the appropriate trigonometric ratio

The right angle faces the length 22 which is the hypotenuse

The marked angle faces the length 8 which makes it the opposite

The trigonometric ratio that links the two is the sine

The sine is the ratio of the opposite to the hypotenuse

So, we have it that;

sine ? = 8/22

? = arc sine 8/22

? = 21 degrees

4 0

3 years ago

If f(x)=-3x+4 and g(x)=2, solve for the value of x for which f(x) = g(x) is true.

svp [43]

If f(x) = g(x), -3x+4 = 2, -3x = -2, x = 2/3

8 0

4 years ago

It takes Hayden 1 1/2 minutes t complete each level of his video game. If he plays for 10 1/4 minutes, how many levels will he c

antoniya [11.8K]

Given:

Hayden $1\dfrac{1}{2}$ minutes to complete each level of his video game.

He plays for $10\dfrac{1}{4}$ minutes.

To find:

The number of levels he will complete.

Solution:

We have,

Required time for each level = $1\dfrac{1}{2}$

Total time = $10\dfrac{1}{4}$

The number of level is

$n=\dfrac{\text{Total time}}{\text{Required time for each level}}$

$n=\dfrac{10\dfrac{1}{4}}{1\dfrac{1}{2}}$

$n=\dfrac{\dfrac{10(4)+1}{4}}{\dfrac{1(2)+1}{2}}$

$n=\dfrac{\dfrac{41}{4}}{\dfrac{3}{2}}$

On further simplification, we get

$n=\dfrac{41}{4}\times \dfrac{2}{3}$

$n=\dfrac{41}{6}$

$n=6.8333...$

Number of levels must be a whole number. So, approx to value to the preceding whole number.

$n\approx 6$

Therefore, Hayden will complete 6 levels if he plays for $10\dfrac{1}{4}$ minutes.

5 0

3 years ago

Match each complex number with its equivalent expression i^157 i^315 i^102 i^76

ryzh [129]

Answers:

$i^{157} = i\\\\i^{315} = -i\\\\i^{102} = -1\\\\i^{76} = 1\\\\$

=====================================================

Explanation:

By definition, $i = \sqrt{-1}$

Squaring both sides gets us $i^2 = -1$

Then multiply both sides by i to get $i^3 = -i$

Repeat the last step and you should get $i^4 = -i^2 = -(-1) = 1$

---------------

Notice we have this pattern going on:

$i^0 = 1\\\\i^1 = i\\\\i^2 = -1\\\\i^3 = -i\\\\i^4 = 1\\\\$

Once we reach i^4, we start the process over again.

It repeats every 4 terms.

This means we'll divide the exponent over 4 and look at the remainder. We ignore the quotient completely.

157/4 = 39 remainder 1

That remainder 1 is the exponent of the simplified term

$i^{157} = i^1 = i$

---------------

Similarly,

315/4 = 78 remainder 3

So $i^{315} = i^3 = -i$

---------------

102/4 = 25 remainder 2

$i^{102} = i^2 = -1$

----------------

76/4 = 19 remainder 0

$i^{76} = i^0 = 1$

8 0

2 years ago

Tom is trying to write 2 3/47 as a decimal

exis [7]

It's about 2.064 if you make the number an improper fraction then divide

5 0

3 years ago