Which equation can be used to find the measure of angle gfe? cos−1(startfraction 14.5 over 11.9 endfraction) = θ cos−1(startfraction 11.9 over 14.5 endfraction) = θ sin−1(startfraction 11.9 over 14.5 endfraction) = θ sin−1(startfraction 14.5 over 11.9 endfraction) = θ

Answer:

a = -3, b = 1

Step-by-step explanation:

1. Plug in the given values into the equations:

a(-1) - b(2) = 1
a(2) + b(-1) = -7

2. Isolate a in the first equation:

a(-1) - b(2) = 1   =   a · -1 - b · 2 = 1

-a - 2b = 1

-a -2b+2b = 1+2b

-a = 1 + 2b

[tex]\frac{-a}{-1} =\frac{1}{-1} +\frac{2b}{-1}[/tex]

a = -1 - 2b

3. Substitute "a = -1 - 2b" in for a in the second equation:

(-1 - 2b)2 + b(-1) = -7

4. Simplify:

-2 - 4b + b(-1) = -7

-2 - 4b -b = -7

-2 -5b = -7

5. Isolate for b:

-2+2 - 5b = -7+2

-5b = -5

[tex]\frac{-5b}{-5} =\frac{-5}{-5}[/tex]

b = 1

6. Substitute the b value into an equation to solve for a:

a = -1 -2 · 1

a = -3 · 1

a = -3

hope this helps!

Answer:

~ 3.473

Step-by-step explanation:

Assuming that theta means the middle angle at the origin, you are simply finding the sine of -10, and then multiplying it by -20.  Using a scientific calculator, sin -10 comes out to about -0.174.  Multiplying this by -20 gives us about 3.473.

Hope this helps!

Answer:

7,986

Step-by-step explanation:

Picture that shows steps and how to do it with formula!!

Hope this helped!!!

~ Kaitlyn

Answer:

2 1/3 cups for each hiker

Step-by-step explanation:

8bags x 3.5 cups in each bag =28 cups in total
28 cups shared among 12 hikers = 28/12 = 2 1/3 cups for each hiker

The best statement that compares the length of time each ball is in the air is seen in the second option.

A quadratic function follows the condition: f(x) = ax² + bx + c. Here (a, b, and c) are real numbers and a ≠ 0.  

From the given information:

Where;

The table given is as follows:

Time (in seconds)                 height, g(t) in feet

0                                             4

1                                              36

2                                              36

3                                              4

From the table, when t = 0, the function becomes:

f(t) = -16t² +64t + 5

f(t) = -16(0)² + 64(0) + 5

f(t) = 5

Therefore, we can conclude that the best statement that compares the ball is: f(t) is in the air for about 5 seconds, and the ball represented by g(t) is in the air for about 3 seconds.

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Answer:

D

Step-by-step explanation:

More time is needed for current academic lessons and special projects.

The amount of cherrries that Dahlia has in stock at the end of the day is 69.

The first step is to determine the number of cherries that were remaining after 19 were sold.

Cherries remaining = 22 - 19 = 3

Number of cherries in the shipment == 22 x 3 = 66

Total number of cherries at the end of the day = 66 + 3 = 69

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[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

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Elaine has 14 3/4 cups of flour. She divides the flour into equal portions of 2 7/8 cups. Which is the best estimate for the number of portions she can make?

Answer: [tex]= 5[/tex]

Solution:

[tex]14 \frac { 3 } { 4 } \div 2 \frac { 7 } { 8 } =[/tex]

[tex]\frac{\left(14\times 4+3\right)\times 8}{4\left(2\times 8+7\right)} [/tex]

[tex]\frac{2\left(3+4\times 14\right)}{7+2\times 8} [/tex]

[tex]\frac{2\left(3+56\right)}{7+2\times 8} [/tex]

[tex]\frac{2\times 59}{7+2\times 8} [/tex]

[tex]\frac{118}{7+2\times 8} [/tex]

[tex]\frac{118}{7+16} [/tex]

[tex]\frac{118}{23} [/tex]

=[tex]5 [/tex]

I evaluated it so the answer is= Letter B.[tex]5 [/tex]

════════════════════

Explanation:

#Carry on learning

Answer:

The volume is 4,608.

Step-by-step explanation:

To solve for volume, multiply the length (l), width (w), and height (h) values together. So, 24 * 12 * 16 = 4,608. Therefore, the volume is 4,608. Good luck!

Answer:

The final cost before sales tax is $475.

Step-by-step explanation:

you add the 30% to the 20% and that equals 50% off. Which is half off so you have to divide $950 by 2. That equals $475. Easy :)

Charlene has a monthly salary of $3,410. with her present budget, the corrected net income is $113.70

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Charlene has a monthly salary = $3,410.

Charlene has a net income that is 7% of her monthly salary.

The computation of the new net income is shown below

= Monthly salary × net income percentage - reduced amount of net income per month

= $3,410 × 7% - $125

= $113.70

Hence, the corrected net income is $113.70

Learn more about income ;

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Answer:

t=4

Step-by-step explanation:

Let's solve your equation step-by-step.

4t−2=14

Step 1: Add 2 to both sides.

4t−2+2=14+2

4t=16

Step 2: Divide both sides by 4.

4t

4

=

16

4

t=4

Answer:

t=4

By using properties for exponents, we will see that the equivalent expression is:

[tex]2x^{-4}y^6[/tex]

Here you need to remember the property:

[tex]a^n/a^m = a^{n - m}[/tex]

We have the expression:

[tex]\frac{-4x^{-3}y^4}{-2xy^{-2}}[/tex]

We can separate the fraction to:

[tex]\frac{-4x^{-3}y^4}{-2xy^{-2}} = \frac{-4}{-2}*\frac{x^{-3}}{x} *\frac{y^4}{y^{-2}}[/tex]

Now we can simplify by using the above relation, we will get:

[tex]\frac{-4x^{-3}y^4}{-2xy^{-2}} = \frac{-4}{-2}*\frac{x^{-3}}{x} *\frac{y^4}{y^{-2}} = 2*x^{-3-1}*y^{4 - (2)} = 2*x^{-4}*y^6[/tex]

So the correct option is the last one.

If you want to learn more about exponents, you can read:

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[tex]\\ \rm\Rrightarrow (-4x^{-3}y^4)\div(-2xy^{-2})[/tex]

[tex]\\ \rm\Rrightarrow 2x^{-3-1}y^{4+2}[/tex]

[tex]\\ \rm\Rrightarrow 2x^{-4}y^6[/tex]

Option D

Answer:

7/8

Step-by-step explanation:

7/8 is a larger fraction than 4/5, so the decimal must be larger. You can check this using a calculator, and dividing the numbers.

Answer:

  C.  0.625

Step-by-step explanation:

You want to know if the given decimals are correctly written as the given fractions.

It is generally easier to find the decimal equivalent of a fraction, but some calculators can go the other way, as well.

The decimal 0.625 corresponds to the fraction 5/8, not 7/8.

0.625 was converted incorrectly.

__

Additional comment

You can factor out 125 from numerator and denominator of the fraction equivalent of 0.625:

  [tex]0.625=\dfrac{625}{1000}=\dfrac{5(125)}{8(125)}=\dfrac{5}{8}[/tex]

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Answer:

2/2

Step-by-step explanation:

all the number are either improper or mixed number etc.

2/2= 1

and u wanted to know which equals one and that is 2/2 because it is 1 whole.

The property of addition that is shown in the equation (a+bi)+(0+0i)=(a+bi) is the identity property of addition.

The identity property of addition states that when any number and 0 are added, the result will be the number itself.

The property of addition that is shown in the equation [tex](a+bi)+(0+0i)=(a+bi)[/tex] is the identity property of addition.

Learn more about Identity property of Addition:

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Answer:

C Identity property

Step-by-step explanation:

Edge 2022

10p

hope it really helps...!!!

Answer:

10p

Step-by-step explanation:

3 +7 =10

p+p=p

3p+7p=10p

Answer:

43

Step-by-step explanation:

First, you have to find the value inside the parentheses. That would be 8-4, which is 4.

Now, use the rule of Pedmas, or Bedmas, whatever you prefer. That is Parentheses, exponents, multiplication, addition, subtraction. So, now you have the equation:

27 + 4 x 4.

You would multiply before addition, as shown above, so you would get:

27 + 16

which would equal:

43.

Answer: W is now at (2,-3)

Step-by-step explanation: flip by the x-axis to turn (-2,3) to (-2,-3) then flip it on the y-axis to turn (-2,-3) to (2,-3).

This means that a graph of Kassie speed given by the function d = 1.22t would have a slope of 1.22 m/s.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let d represent the number of meters she swims in t seconds. Hence:

d = 1.22t

This means that a graph of Kassie speed would have a slope of 1.22 m/s.

Find out more on equation at: https://brainly.com/question/1214333

Answer:

the answer is 12.61 so that means it's c

The time taken to have a total of $21,000 is 36.5 years.

To calculate the time it takes to reach $21,000 with a simple annual interest rate, we can use the formula for simple interest:

Interest = Principal × Rate × Time

Where:

Interest is the additional amount earned on the initial investment (in this case, the difference between $21,000 and $8,600),

Principal is the initial investment ($8,600),

Rate is the annual interest rate (3.95% expressed as 0.0395),

and Time is the unknown variable we want to find.

We can rearrange the formula to solve for Time:

Time = Interest / (Principal × Rate)

Let's plug in the values:

Interest = $21,000 - $8,600 = $12,400

Principal = $8,600

Rate = 0.0395

Time = $12,400 / ($8,600 × 0.0395) ≈ 36.5

So, it will take approximately 36.5 years to have a total of $21,000.

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#SPJ7

Answer:

a) 5.85

b) 0.0004

Step-by-step explanation:

[tex]a) \: \: \sqrt{ \frac{ {4.5}^{2} + {10.8}^{2} }{4} } \\ \\ = \sqrt{ \frac{ 20.25 + 116.64 }{4} } \\ \\ = \sqrt{ \frac{136.89}{4} } \\ \\ = \sqrt{34.2225} \\ \\ = 5.85 \\ \\ b) \: \: \frac{1}{(2 \times {10}^{5} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20\times {10}^{4} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20 + 5) \times {10}^{4} } \\ \\ = \frac{1}{25 \times {10}^{4} } \\ \\ = 0.04 \times {10}^{ - 4} \\ \\ = 0.0004[/tex]

3x + 27 =180

-27

3x = 153

÷3

x = 51

a=142

(vertically opposite angles are equal)

Reflex angles adds up to 360

360 - (142x2) = 76

76/2 = 38

t & c = 38

Hope this helps!

Answer:

Here you go :) if you need anything tell me!

Answer:

4

Step-by-step explanation:

Hey there!

To figure this out you need to calculate 4/16

that is 1/4

which is the size of one of the 1/4 circles

1/4 is equal to 4/16 which means the answer is 4