find the measure for each angle indicated

Answer:

16

Step-by-step explanation:

because to get what you need add 27 and 28 and you get 55 then subtract 71 by 55 to get 16

71-(27+28)

Answer:

Grace sold 16 tickets.

Step-by-step explanation:

We have a total of 71 tickets sold between 3 people. Blake sold 27 tickets and Chang sold 28 tickets. Adding those sold by Blake and those sold by Chang, gives us: 27 + 28 = 55, if that amount is subtracted from the total sales that are 71 tickets, the result would be: 71 - 55 = 16, which would be the tickets sold by Grace.

Answer:

Shen invested $9000.

Step-by-step explanation:

The simple interest formula is i = prt, where p is the principal amuont, r is the annual interest rate as a decimal fraction and t is the time in years.

Here, $2160 = P*0.06*(4 yrs), so:

         $2160

P = ----------------- = $9000

            0.24

Answer:

2a + 7

Step-by-step explanation:

-3a + 7 +5a

subtract the negative 3 from the 5

2a + 7

Answer: it would be 2a+7

Step-by-step explanation: Hope this help :D

Answer:

72°

Step-by-step explanation:

Hello There!

Complementary angles have a sum of 90 degrees

So to find the missing angle we subtract the measure of the given angle (18 in this case) from 90

90 - 18 = 72

so your answer will be 72°

Answer:

True

Step-by-step explanation:

Any value of x makes the equation true

All Real numbers

(-∞)(∞)

Her employer's contribution to the 401(k) was $2,500.

Given that for the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions, and Pam's salary is $30,000 , and last year, she contributed $4000 to her 401(k) plan, to determine what was her employer's contribution to the 401(k) the following calculation must be made:

Therefore, her employer's contribution to the 401(k) was $2,500.

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Answer: C. $2250

Step-by-step explanation: took the quiz.

Step-by-step explanation:

hope this help have a great day

Answer:

(3,7)

Step-by-step explanation:

Answer:

BD = 21 units

Step-by-step explanation:

By applying mean ratio theorem in the given triangle ABC,

[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]

AD × CD = BD²

21 × 21 = BD²

BD² = (21)²

BD = 21

Therefore, measure of segment BD is 21 units.

Answer:

6 & 7

Step-by-step explanation:

6 x 7 = 42

They are consecutive!

Answer:

6x7

Step-by-step explanation:

hope this helps!

Answer:

quadrilateral: a four-sided shape or figure and has four striaght sides

parallelogram: four-sided plane with oppisite paraell sides

trapezoid: a quadrilateral with one pair of parell sides  

rectangle: a figure with both four stright and four right angles. It is also quadrilateral, paraellagram,  

diamond: a quadrilateral that has four sides of the same lenght and is also a parallelogram .

square: a quadrilateral with four equal sides. It is a rectangle and parallagram.

Hope that helped you! :)

Step-by-step explanation:

Answer:

4/7 (I may be wrong)

Step-by-step explanation:

There are 7 numbers, of which 4 are even. This could be %100 wrong/right.

Answer:

9in

Step-by-step explanation:

a p e x

Answer:

Step-by-step explanation:

Answer:

(1 cm)cos3πt

Step-by-step explanation:

Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft

where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.

Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations  = 2 s

So, f = 3/2 s =1.5 /s = 1.5 Hz

Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm

h = Acos2πft

= (1 cm)cos2π(1.5Hz)t

= (1 cm)cos3πt

Answer:

92.6! Hope this helps.

Step-by-step explanation:

-lei

Answer:

Step-by-step explanation:

Answer is in the picture. I promise its not a bad picture.

Answer:

x=32°

Step-by-step explanation:

2x+3x+20=180 co interior angle

5x=180-20

x=160/5=32°

Answer:

12°

Step-by-step explanation:

a straight line adds up to 180°

(3x+20)+2x=180

3x+2x+20=180

5x+20=180

5x=180-20

5x=60

5x/5=60/5

x=12

x=12°

Answer:

x=-1/7

Step-by-step explanation:

Combine like terms

7x=−1

Then you divide both sides by 7 and then you get x=-1/7 (fraction)

Hope it helps :)

Answer:

231.59 years

Step-by-step explanation:

To model this situation we are going to use the exponential decay function:

f(t)= a (1-b)^t

where f(t) is the final amount remaining after t years of decay

a is the final amount

b is the decay rate in decimal form

t is the time in years

For Substance A:

Since  we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r = 0.15/100 = 0.0015. Replacing the values in our function:

f(t) = a (1-b)^t

f(t) = 300 (1-0.0015)^t

f(t) = 300 (0.9985)^t equation (1)

For Substance B:

Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r=0.37/100= 0.0037. Replacing the values in our function:

f(t) = a (1-b)^t

f(t)= 500 (1-0.0037)^t

f(t)=500(0.9963)^t equation (2)

Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:

M=300(0.9985)^t equation (1)

M=500(0.9963)^t equation (2)

We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :

{M=300(0.9985)^t

{M=500(0.9963)^t

Answer:

72 marbles are yellow

Step-by-step explanation:

Answer:

26.88$

Hope this helps :))

Answer:

Answer:574.9ft^3.

Step-by-step explanation:

radius (r) = 6.5feet

π=3.14

volume of hemisphere=2/3 x π x r^3

Volume=2/3 x 3.14 x (6.5) ^3

Volume=2/3 x 3.14 x 6.5 x 6.5 x 6.5

Volume = (2x3.14x6.5x6.5x6.5) ➗ 3

Volume=1724.645 ➗ 3

Volume=574.9ft^3

The volume of a hemisphere with a radius of 6.5 ft, rounded to the

nearest tenth of a cubic foot is 574.9ft^3.

The volume of a hemisphere that has radius r can be calculated as

[tex]2/3\times \pi \times r^3[/tex]

It is given that the hemisphere

radius (r) = 6.5feet

π=3.14

The volume of a hemisphere

=[tex]= 2/3\times \pi \times r^3\\\\= 2/3 \times3.14\times (6.5) ^3\\\\2/3 \times3.14 \times6.5 \times6.5 \times6.5\\\\1724.645 /3\\574.9ft^3[/tex]

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#SPJ2

Answer:

None

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

cause there isnt any zero

Answer:

24 cookies got eaten 12 weren't eaten

Step-by-step explanation:

36 divided by 3 = 12

12 x 2 = 24 ( since they ate 2/3)

36-24=12 (12 weren't eaten)

Answer:

-2-24i

Step-by-step explanation:

vector addition

let x be the value without the vector I

x+7+5=10

x=10-12

x=-2

let y be the value with the vector I

y-3+9+13= -5

y +19= -5

y= -24