If 60 is increased by 90%, what is the new amount?

Answer:

see below

Step-by-step explanation:

cscx=4

sinx=1/4

cosx=-√(1-sin^2x)=-√(1-(1/16))=-√(15/16)=-√15/4

note: cos<0,sin>0 in quadrant II

sin(x/2)= [tex]\sqrt{\frac{1+cos(x)}{2} } =\sqrt\frac{1+\sqrt{\frac{15}{4} } }{2} =\sqrt{\frac{4+\sqrt{15} }{8} }[/tex]

cos(x/2)= [tex]\sqrt{\frac{1-cos(x)}{2} } =\sqrt{\frac{1-\sqrt{\frac{15}{4} } }{2} } =\sqrt{\frac{4-\sqrt{15} }{8} }[/tex]

tan(x/2)= [tex]\frac{sin(x)}{1-cos(x)} =\frac{\frac{1}{4} }{(1-\frac{\sqrt{15} }{4} )} =\frac{\frac{1}{4} }{\frac{4-\sqrt{15} }{4} } =\frac{1}{4-\sqrt{15} }[/tex]

Calculator check:

[tex]sinx=\frac{1}{4}[/tex]

[tex]x\neq 165.52[/tex]˚ in quadrant II

[tex]\frac{x}{2} \neq 82.76[/tex] ˚

sin(x/2)≈sin(82.76)≈0.9920..

exact value=√(4+√15)/8≈0.9920..

..

cos(x/2)≈cos(82.76)≈0.1260..

exact value=√(4-√15)/8≈0.1260..

..

tan(x/2)=tan(82.76)≈7.872..

exact value=1/(4-√15)≈7.872..

Step-by-step explanation:

a.) 9

When you divide with a fraction you do the reciprocal of the fraction (basically flipping numerator and denominator) then multiplying (since the opposite of division is multiplication.

So if you flip

[tex]\frac{1}{9} [/tex]

It would be:

[tex] \frac{9}{1} [/tex]

9/1 is the same as 9 so:

1 times 9 = 9

b.) 15

Same thing like we did above, just do the reciprocal the multiply.

[tex] \frac{1}{5} [/tex]

Becomes

[tex] \frac{5}{1} [/tex]

5/1 is the same as 5.

3 times 5 = 15

Answer: 25

Step-by-step explanation: The quadratic equation may be expressed in a form, ax² + bx + c =0. From the given equation, a = 2, b = 1, and c = -3. Substituting these value to the equation of the discriminant (D).

                                       D = b² - 4ac

                                   D = 1² - (4)(2)(-3) = 25

Thus, the discriminant of the equation of 25.

The amount that would be needed to be deposited in order to reach the goal is:

Since Plan A compounds annually at an apr of 5%.

and plan B compounds continuously at an apr of 4.8%

Using the formula for annual compounding

[tex]f = p * (1+r)^n[/tex]

Where

Because the compounding is done annually, then the APR/100= 0.05

Also, because the time periods are annual, hence, the time periods would be equal to the number of years = 30.

Putting the values together:

120,000 = p * (1.05)^30.

divide both sides of this formula [tex](1.05)^3^0[/tex] to get:

[tex]120,000 / (1.05)^3^0[/tex] = p which makes p equal to $27,765.29.

To solve for the PART B answer

the formula for continuous compounding is:

[tex]f = p * e^(r*n)[/tex]

Where

The formula becomes:

[tex]120,000 = p * e^(.048 * 30).[/tex]

divide both sides of this equation by [tex]3^(.048 * 30)[/tex] to get:

[tex]120,000 / (e^(.048*30))[/tex] = p which makes p equal to $28,431.33.

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Read more about compound interest here:

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Answer:

none of them are right not sure what's up with that.

Step-by-step explanation:

cylinder is base*height

base is pi*r^2, or 25pi

height is 9, so the volume is 225pi is about 707, so none of the answers are correct

Answer:

157.78

Step-by-step explanation:

Area of a trapezoid = ( sum of base lengths / 2 ) × height

the base lengths of the trapezoid shown are 8.7m and 16.3 + 7.2 = 23.5m

the height is 9.8m

so area = (( 8.7 + 23.5 ) / 2) × 9.8

==> add 8.7 and 23.5

area = (32.2 / 2) × 9.8

==> divide 32.2 by 2

area = 16.1 × 9.8

==> multiply 16.1 and 9.8

area = 157.78

Your median is 5 because that is the number that is mentioned the most.

A median is a number that i said the most.

And in the pic your median is 7.

Hope this helps you :0

Answer:

240

Step-by-step explanation:

The answer is 240. You have to multiply 20 times 12 since each basketball has an equivalent weight to the others. Hope this helps! :)

Answer:

1 ounce =28grams

Step-by-step explanation:

if 1 ounce=28grams

20ounce=20ounces x 28 grams

=560g

one ball weighs 560grams

Answer:-5/14

Step-by-step explanation:

make then equal and insert N, 16/14-21/14=-5/14

Using the standard format of a perfect-square quadratic sum, it is found that the value that completes the expression is 169.

It is represented by:

(a + b)² = a² + 2ab + b².

In this problem, we have that the expression is:

a² + 2ab + b² = h² + 26 + b².

Hence a = 1, 2ab = 26 -> b = 13, thus the value that completes the expression is:

b² = 13² = 169.

More can be learned about perfect-squares at https://brainly.com/question/13136492

Answer:

  3, 8, 14, 30, 58

Step-by-step explanation:

As with all formulas, put the numbers in place of the corresponding variables, and do the arithmetic.

  [tex]a_1=3\qquad\text{given}\\\\a_2=8\qquad\text{given}\\\\a_3=2a_1+a_2=2(3)+8=14\\\\a_4=2a_2+a_3=2(8)+14=30\\\\a_5=2a_3+a_4=2(14)+30=58[/tex]

The first 5 terms of the sequence are 3, 8, 14, 30, 58.

The resulting equation after the first step in the solution is:

2v + 4 = 8.

An equation is a mathematical statement that asserts the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, or exponentiation.

we have the Equation v + 4 + v  =8

Now, simplifying we get

2v + 4= 8

2v = 4

v =2

To obtain this equation, we combined the like terms "v" on the left side of the equation, which gives us 2v. The rest of the equation remains unchanged.

Therefore, the correct answer is : 2v + 4 = 8.

Learn more about Equation here:

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Answer:

-2

Step-by-step explanation:

The slope is rise over run. If we look at the points we can see the rise is -2 and the run is 1. -2/1 = -2, so my answer is correct.

Answer:

Hi I’m the friend

Step-by-step explanation:

by the way I also need brainliest, so you get to choose who to mark as brainliest

Answer:

x = 4

Step-by-step explanation:

(5-x) / (3/4x) = 1/3

multiply  both sides by 3/4 x

5-x  = 3/12 x    add 'x' to both sides of the equation

5 = 15/12 x       multiply both sides by 12/15

4 = x

Answer:

p + 6

Step-by-step explanation attached as image.

Answer: The slope is -1

Step-by-step explanation:  

When you are given a line on a graph all you need to do is pick two points on the line and calculate the change over both the x and y-axis.

Pick both points to be at a position on the line that is easy to read. IE the intersection between two grid lines.  For this problem lets go with the first point at (0,1) and the second point at (1,0).

Now we want to calculate the change in rise (the y-component) and divide by the change in the run (the x-component).  Point 1 has a y-component of 1 and point 2 has a y-component of 0.

1 - 0 = 1 = rise

Point 1 has an x-component of 0 and point 2 has an x-component of 1.

0 - 1 = -1 = run

rise/run = 1/-1

Slope = -1

Answer:

6

Step-by-step explanation:

Negative ×negative always gives gives a positive

Answer:

x=0 or x=−95

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−190x=2x²

Step 2: Subtract 2x² from both sides.

−190x−2x²=2x²−2x²

−2x²−190x=0

Step 3: Factor left side of equation.

(−2x)(x+95)=0

Step 4: Set factors equal to 0.

−2x=0 or x+95=0

x=0 or x=−95

[tex]~~~~2x^2 =-10 \times 19\\\\\implies 2x^2 = -190\\\\\implies x^2 = -\dfrac{190}2\\\\\implies x^2 = -95\\\\\implies x = \pm\sqrt{-95}\\\\\implies x = \pm \sqrt{-1}\sqrt{95}\\\\\implies x = \pm i\sqrt{95}[/tex]

Answer:

$13.14

Step-by-step explanation:

Answer:

The  answer is b

Step-by-step explanation:

Answer: B

I had to help my brother with this

[tex]\text{nth term of an arithmetic sequence,}\\\\a_n = a_1 + (n-1)d\\\\a_4 = a_1 +3d=107~~~......(i)\\ \\a_8=a_1+7d = 191~~~......(ii)\\\\\\\text{(ii) -(i):}\\\\~~~~~~a_1+7d-a_1-3d = 191 -107\\\\\implies 4d = 84\\\\\implies d = \dfrac{84}4\\\\\implies d= 21\\\\\text{Substitute d= 21 in eq~(i):}\\ \\~~~~~ a_1 +3(21) = 107\\\\\implies a_1 + 63 = 107\\\\\implies a_1 = 107-63\\\\\implies a_1 =44[/tex]

Answer:

r = h + m

Step-by-step explanation:

h = r - m

Switch sides.

r - m = h

Add m to both sides.

r - m + m = h + m

Simplify the left side. -m + m = 0

r = h + m

Answer:

Q=9

Step-by-step explanation:

if we get the bottom lengths of both triangles and divide them by eachother we can find the scale factor. so 12/4=3 meaning the scale factor is 3 meaning the bigger triangle is 3 times bigger so if we have the smaller version of the length of Q we just have to multiply 3 by 3 to get the enlarged version so Q=9inch

(its a lot of words but i wanted to make sure you understand)

Answer:

That is a linear function

Step-by-step explanation:

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.

If you try to graph that function on a graphing calculator, you will get a straight line.

Therefore, it is a linear function.

mark brainliest please!

Answer:

I think it's a linear one(function)

y=6x÷19

Answer:

Below!

Step-by-step explanation:

Let the irrational number be known as "x".

[tex]\implies -\sqrt{41} \times x = 1[/tex]

Divide both sides by -√41.

[tex]\implies \dfrac{(-\sqrt{41} \times x)}{-\sqrt{41} } = \dfrac{1}{\sqrt{-41} }[/tex]

[tex]\implies x = \dfrac{1}{-\sqrt{41} }[/tex]

Take the "-" to the numerator:

[tex]\implies x = \dfrac{-1}{\sqrt{41} }[/tex]

Use parenthesis to isolate the "-"

[tex]\implies x = -\huge\text{(}\dfrac{1}{\sqrt{41} } \huge\text{)}[/tex]

Note: 1 can also be written as √1. (√1 = √1 × √1 = 1)

[tex]\implies {x = -\huge\text{(}\dfrac{\sqrt{1}}{\sqrt{41} }\huge\text{)}}[/tex]

Combine the roots in the equation:

[tex]\implies {x = -\huge\text{(}\sqrt{\dfrac{1}{41} }} \huge\text{)}}[/tex]

Remove the parenthesis:

[tex]\implies {x = -\sqrt{\dfrac{1}{41} }}[/tex]

Thus, Option C is correct.

Answer:

um..is this finished question ????

Answer:  

x = 3

y = -2

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

4x + 5y = 2........i

2x + 3y = 0........ii

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

Let's start by eliminating x, so we multiply i by 2 and ii by 4

2|4x + 5y = 2

4|2x + 3y = 0

So that we have

8x + 10y = 4..........iii

8x + 12y = 0..........iv

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

Subtracting iv from III, we have

-2y = 4

y = 4/-2

y = -2

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

Going ahead and substituting this value of y in eqn i, we have

4x + 5(-2) = 2

4x - 10 = 2

4x = 2 + 10

4x = 12

x = 12/4

x = 3

Step-by-step explanation: hope this helps, brainliest please <3

Answer:

m<MLO = 120°

Step-by-step explanation:

Equilateral Triangles have all 60° angles.

m<MLN = m<OLN = 60°

60°+60°=120°