The angle measurements in the diagram are represented by the following expressions.

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:

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:

It decreases because it's going lower if it increases its going higher

Answer:

c

Hope it helps :)

Answer:

it would be c because it is plotted correctly

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:

Spanish?

Step-by-step explanation:

I speak english

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:

(540-36π)km²

Step-by-step explanation:

First solve the area of the shaded triangle. 40 times 27 divided by 2 equals 540. Now subtract the area of the circle. The area of the circle is 36π because the radius is 6 and 6 squared times pi equals 36π. Finally subtract 36π from 540. The answer is (540-36π)².

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:

6 2/3.. i think

Step-by-step explanation:

hopefully u understand my messy handwriting

Answer:

Im sorry I honestly don't know

Step-by-step explanation:

But can you look at my question to see if you can help me? Please I understand if you can't. My regards

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

sin(D) = 20/29

D = arcsin(20/29)

D=43.60281897 °

cos( 43.60281897 °)= DF / 29

DF = 29*cos( 43.60281897 °)

DF = 21

sin(D) = 20/29

cos(D) = 21/29

tan(D) = 20 / 21

sin(E) = 21/29

cos(E) = 20/29

tan(E) = 21 / 20

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:

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:

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]

The axis of symmetry is the fold line that splits the parabola down the middle.

Now, since a parabola is symmetrical, every point, except the vertex, will have a mirror image of another point if we folded the parabola over the axis of symmetry.

So if we know the axis of symmetry is x = 3 and one of our points

has the coordinates (5, 0), the other point will have the coordinates (3, 0).

The axis of symmetry is always halfway between the x-intercepts.

Answer:

y=12

Step-by-step explanation:

BA/BD=BE/BC

24/8=(24+y) / y

16y=192

y=12

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:

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:

A

Step-by-step explanation:

i dnt know how to explain tht but hi

Answer:

I would say the answer is A.

Step-by-step explanation:

I think this because well why survey people that are coming into the Theaters cause obviously it seems like the like going to the movies, but truly they are suppose to survey people who don't like going to the movies.

Answer:

A

Step-by-step explanation:

Answer:

Mean: 4

Mode: 4

Median: 6

Range: 5

Step-by-step explanation:

Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Mode: Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

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:

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

They both are numbers

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:

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