Use the inverse trigonometric keys on a calculator to find the measure of angle A

Answer:

The amount deposited into her retirement plan each payday is;

$469.05

Step-by-step explanation:

From the details given on Nancy's income, we have;

Nancy's gross annual income = $46,905

The percentage deducted from her monthly paycheck for her 403(b) = 9%

The percentage her employer matches her deductions up to = 3%

Therefore, we have;

Her monthly pay = (Her gross annual income)÷12

∴ Her monthly pay = $46,905÷12 = $3,908.75

The amount deducted from her paycheck, A = 9% of $3,908.75

∴ A = 9/100 × $3,908.75 = $351.7875

The amount her employer matches her deductions up to, B = 3% of $3,908.75

∴ B = 3/100 × $3,908.75 = $117.2625

Therefore;

The amount deposited into her retirement plan each payday, D = A + B

∴ D = $351.7875 + $117.2625 = $469.05

The amount deposited into her retirement plan each payday, D = $469.05.

Answer:

A, C, E

Step-by-step explanation:

Right on Edge

Answer:

t=x+44

Step-by-step explanation:

the x ounces are being added to the vase's pre-existing 44 ounces so therefore the equation is t=x+44

Answer:

-$12

Step-by-step explanation:

Add the spendings

$81+$44=$125

Subtract base number and solution

$114-$125=-$11

-$12 is a greater debt than -$11

Answer:

A

Step-by-step explanation:

i dnt know how to explain tht but hi

Answer:

weight in an elevator must be less then 2000 - w is less then 2000 or the first option

a ton is 2000 lbs - w=2000

the pool must hold at least 2000 gallons - the second option

the scale can hold up to and including 2000 lbs - the fourth option

my car weighs more then 2000 lbs- the last one

I think this is right, I hoped I helped

Answer:

6 2/3.. i think

Step-by-step explanation:

hopefully u understand my messy handwriting

Answer:

a. 5/8 b. 3/5 c. 1/4 d. 70%

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

124 - 51 = 73

Answer:

C

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

The triangle is equilateral , since 3 angles = 60°

Then base AB = 12

Find height CD using the sine ratio in the right triangle ( there are 2 )

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CD}{BC}[/tex] = [tex]\frac{CD}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ← exact value of sin60° ( cross- multiply )

2CD = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

CD = 6[tex]\sqrt{3}[/tex]

Then

A = [tex]\frac{1}{2}[/tex] × 12 × 6[tex]\sqrt{3}[/tex] = 6 × 6[tex]\sqrt{3}[/tex] = 36[tex]\sqrt{3}[/tex] units² → C

Answer:

[tex]k=\pm 6[/tex]

Step-by-step explanation:

The given quadratic equation is :

[tex]x^2 - kx + 8 = 0[/tex]

One of the roots of this equation is twice that of the other. Let the roots are [tex]\alpha \ and\ \beta[/tex], [tex]\alpha =2\beta[/tex]

Sum of roots, [tex]\alpha +\beta =\dfrac{-b}{a}[/tex]

[tex]\alpha +\beta =\dfrac{-(-k)}{1}\\\\\alpha +\beta =k\\\\3\beta =k\ .......(1)[/tex]

Product of roots,

[tex]\alpha \beta =\dfrac{c}{a}\\\\2\beta ^2=\dfrac{8}{1}\\\\\beta =\pm 2[/tex]

If [tex]\beta =\pm2[/tex],

[tex]k=3(2)\\\\=\pm 6[/tex]

So, the value of k is equal to [tex]\pm 6[/tex].

Answer:

do cubic root of 64 cause the volume is S^3

so the side is 4

Answer:

4

Step-by-step explanation:

4 is the cube root of 64

Answer:

(1/2,4)

Step-by-step explanation:

First, determine y in first equation: 2x+y=5 or  y=5-2x

replace value of y determined in first equation (5-2x) into 2nd equation    

4x-3(5-2x)=-10

4x-15+6x=10

10x=5

x=1/2

put value of x into either equation to solve for y so

2(1/2)+y=5

1+y=5

y=4

answer: x=1/2, y=4

check answer by substituting x and y into either equation:

4x-3y=-10

4(1/2)-3(4)=-10

2-12=-10

-10=-10

or

2x+y=5

2(1/2)+4=5

1+4=5

5=5

Answer:

1: z = 4.

2: y= 6.

3: w= 13.

4: a= 36.

Please like and mark brainliest!

Hope it helps!

Answer: Z is equal to 4, for the first one. The second one is Y equals 6. The 3rd one is W equals 13. The fourth and final one is A equals 36.

Step-by-step explanation:

Long Explanatio, but I gave the answers.

Answer:

4

Step-by-step explanation:

72/18=4

Answer:

25

Step-by-step explanation:

y = 18 ÷ [tex]\frac{72}{100}[/tex]

y = 18 ÷ 0.72

y = 25

Answer:

44.7cm^2

(I had a similar problem the only difference is that instead of 4 by 4 cm mine is 5 by 5cm so you'll still have to do some calculations but it's the same process

step-by-step

Answer:

ΔX = 6 – -1 = 7

ΔY = 3 – 2 = 1

Step-by-step explanation:

the slope is 7 the equation is y = 1/7x +15/7

x1=6

y1=-6

x2=3

y2=2

Answer: £1.32

Step-by-step explanation:

Amy buys 23 envelopes and each of them cost 16p.

1p makes a pound so 16 pence is £0.16.

23 envelopes would cost:

= 0.16 * 23

= £3.68

Her change in Pounds would be:

= 5 - 3.68

= £1.32

Answer:

0.55

plz mark me as brainliest.

Answer:

0.55

Step-by-step explanation:

55/100=

55 divided by 100

=0.55 because the decimal point will move 2 numbers forward

Answer:

y=12

Step-by-step explanation:

BA/BD=BE/BC

24/8=(24+y) / y

16y=192

y=12

Answer:

Future amount = 100(1.9)^5 ;

2476

Step-by-step explanation:

P(t) = P0 * (1 + r)^t

P(t) = 100 * (1 + 90/100)^t#

P(t) = 100 * (1 + 0.9)^t

Therefore, the number of bacteria in 5 years :

P(5) = 100 * (1 + 0.9)^5

P(5) = 100 * (1.9)^5

P(5) = 100 * 24.76099

P(5) = 2476.099

P(5) = 2476 bacteria

P(10%

Answer:

27 melons

Step-by-step explanation:

Number of melons sliced = Number of melons sliced by each camper * number of campers

 = 4 1/2 * 6

[tex]= \frac{9}{2}*6\\\\=9*3\\\\= 27[/tex]

Answer:

No. of campers = 6

Melon slice by 1 camper = 4½

Total melons sliced = 4 ½ × 6

Total melons sliced = 9/2 × 6

Total melons sliced = 9 × 3

Melons sliced = 27★

[tex] \\ [/tex]

Answer:

They both have 3 zero's both have the number 2

They both are numbers

Step-by-step explanation:

b) average velocity : ∆x/∆t = 100/9.8 ≈ 10.204 m/s

c) ∆x = v.∆t = 10.204 × 3 = 30.612 m

d) ∆t = ∆x/v = 80/10.204 = 7.84 s

Answer:

it would be c because it is plotted correctly

Answer:

6·10^26

Step-by-step explanation:

Multiply together the coefficients 3 and 2, obtaining 6.  We must also multiply together the powers of 10; we do this by ADDING the exponents 9 and 17, to get the final answer

6·10^26

Answer:

6•10^26 is the answer.