Find the measurement of
an interior angle of a regular
decagon (10-sided figure).

Answer:

64 ; 8

Step-by-step explanation:

a² ± 2ab + b² = (a ± b)²

x² + 2(8)(x) + 8² =

x² + 16x + 64 =

(x + 8)²

Answer:

-7

Step-by-step explanation:

Answer: 17873.75 dollars

Step-by-step explanation:

We can use the equation: l = p x r x t (Total Interest = principal x interest rate x years/time)

9050 will be the principal; it's the amount you deposit in the first place.

7.5% is the interest rate. You can convert it to 0.075 as a decimal.

13 is the years/time. If Marcus's parents put the college fund in when he was 5 and now he's 18, there has been 13 years in between.

9050 x 0.075 x 13 = 8823.75

8823.75 + 9050 = $17873.75

So in Conclusion, the total amount in the account when Marcus is 18 is 17873.75 dollars.

Hope this helps!

Answer:

63 42

53

53

52

Jdjdjdjfh

By using property - 1,

m∠APD = m∠DPC = m∠BPC = m∠APB = 90°

Apply triangle sum theorem in ΔAPD,

m∠DAP + m∠APD + m∠DPA = 180°

52° + 90°+ m∠DPA = 180°

m∠DPA = 38°

By using property - 3,

m∠PDC = m∠DPA = 38°

m∠PAB = 52°

By using property - 2,

m∠ADC + m∠DCB = 180°

2(38°) + m∠DCB = 180°

m∠DCB = 104°

Therefore, m∠PCD = m∠PCB = [tex]\frac{104}{2}[/tex] = 52°

m∠DAP = m∠BAP = 52°

Since, m∠ADC = m∠ABC = 76°

Therefore, mABP = m∠CBP = [tex]\frac{76}{2}=38^\circ[/tex]

         Hence, m∠APD = m∠DPC = m∠BPC = m∠APB = 90°, m∠DPA = 38°, m∠PAB = 52°, m∠PCD = m∠PCB = 52°, m∠BAP = 52°, mABP = m∠CBP = 38°.

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Answer:

there would be 96 blue marbles and 4 white ones

Step-by-step explanation:

theres 100 marbles. every 24 marbles is 1 white marble. 24+1=25 25×4=100 24×4=96 1×4=4

Answer:

96 blue

Step-by-step explanation:

There are 24 blue for every 1 white so

24+1 = 25 blue marbles

25x4 = 100 or the total amount

100(total)-4 (white)

= 96 blue marbles

Answer:

a

Step-by-step explanation:

Answer:

Although doctor-centric dramas can be entertaining, they're usually filled with a number of inaccurate portrayals of the medical field.

To see where which popular shows get the details right and which ones are loaded with problems, Insider consulted with real doctors and nurses.

Here's how the experts really feel about popular medical shows.

Note: The Entertainment Value and Medical Accuracy scores on each slide are the averages of the scores (out of 10) that the experts provided for each show.

Step-by-step explanation:

please mark me as brainlest answer hope this helps

Answer:

Easy thankyou for coming to me your answer is x= -1 and y=-2

Step-by-step explanation:

Hope that help.

Answer:

Step-by-step explanation:

here you go mate'

step 1

-4x+3y=-2,y=x-1  equation

step 2

y=x-1;-4x+3y=-2  rewrite the equation

step 3

y=x-1  1st equation

step 4

-4x+3y=-2  saubstitute

-4x+3(x-1)=-2

-x-3=-2

step 5

-x-3=-2  simplify by adding 3 to both sides

-x=1

step 6

-x/-1=1/-1  divide

x=-1

second equation

step 1

y=x-1  substitute

y=-1-1

step 2

y=-1-1 simplify

y=-2

answer

x=-1 and y=-2

Answer:

There is no pattern to it.

Step-by-step explanation:

Answer:

D. <b ≅ <g

Step-by-step explanation:

Given that lines p and q are parallel to each other, therefore the following can be concluded:

✔️<f ≅ <h, this is because they are both Vertical angles.

✔️<d and <h are supplematry, this is because they are same side consecutive interior angles. Consecutive angles are supplematry.

✔️<a and <b are supplematry, this is because they are linear pair angles.

✔️<b cannot be congruent to <g. They are not corresponding angles, nor are they alternate interior angles.

Answer:

1b

1

Step-by-step explanation:

Answer:

Dimensions of the box:

x =  1,26  ( the side of the square base )

h = 2,52   the heigh of the cube

Step-by-step explanation:

V(b)  = x² *h      x is the side of the square base, and h the heigh of the cube

The surface area of such cube is:

Area of the base   A(b)  = x²

Lateral area is  4*x*h

A(c) = x²  +  4*x*h

Now   x² * h  = v = 4 m³       ⇒  h = 4/x²   and

A(x)   =  x²   +  4/x

Tacking derivatives on both side of the equation:

A´(x)  =  2*x - 4/x²

A´(x) = 0       2*x  - 4/x²  =  0        ⇒   2*x³  -  4   = 0

x³  = 2

x  = 1,26 m

And  h = 4/(1,26)²        ⇒     h  =  2,52 m

How do we know the value of  x  =  1,26 is for a minimum value of A(x)

We find the second derivative of  A(x)

A´´(x)  =  2  -  (-4*2*x/x⁴)

A´´(x)  =  2  + 8/x³       is positive  A´´(x)  >  0

Then function A(x) has a minimum value at x = 1,26

Answer:

y=75x+100

Step-by-step explanation:

Answer:

5.96

Step-by-step explanation:

Answer:

65.426

Step-by-step explanation:

Given that:

Mean height (m) = 68 inches

Standard deviation (s) = 2 inches

Height required to be taller than 90% of the class :

P(Z > x) = 0.9

The corresponding Zscore is - 1.282 (Z probability calculator)

Using the Zscore relation :

Zscore = (x - m) / s

-1.282 = (x - 68) / 2

-1.282 * 2 = x - 68

-2.564 = x - 68

-2.564 + 68 = x

x = 65.436

Answer:

AA similarity, triangle CBA is congruent to triangle CST

Step-by-step explanation:

angle ACB and angle TCS are congruent by the vertical angles theorem

The picture marks that angle B and angle S is congruent

since 2 angles are congruent, the triangles are similar by the AA similarity

Answer:

The sorted inputs in order from least to greatest is:

4/9 < 7/12 < 2/3 < 5/6

Step-by-step explanation:

Using the given inputs:

4/9,2/3,7/12,5/6

The least common denominator (LCD) is: 36

Rewriting as equivalent fractions with the LCD:

4/9,          2/3,          7/12,          5/6

16/36,       24/36,       21/36,       30/36

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

4/9            7/12             2/3             5/6

16/36  <    21/36    <     24/36  <     30/36

Therefore, the sorted inputs in order from least to greatest is:

4/9 < 7/12 < 2/3 < 5/6

Answer:

1 : 64

Step-by-step explanation:

Model:

1/2 in * 1/6 in = 1/12 in^2

Real:

1/3 ft * 1/9 ft = 1/3 * 12 in * 1/9 * 12 in = 16/3 in^2

model : real

1/12 / 16/3 = 1/12 * 3/16 = 3/192 = 1/64

model : real = 1 : 64

Answer:

14 burgers

Step-by-step explanation:

3 1/2 ÷ 1/4 = 14

Answer:

it Permutation 32760

Step-by-step explanation:

it permutation because the order is matter

15p4=32760

This is the case of a combination and the possibility of arrangement is 1365.

The combination is the process of choosing items or things from a bigger group where the order is irrelevant. The combination formula aids in determining the number of possible combinations that can be created by selecting a portion of a bigger set of objects.

Given There are 15 applicants for four jobs: Computer Programmer, Software Tester, Manager, and Systems Engineer.

From the difference between permutation and combination:

A permutation is a method of arranging all the members in order. The combination is a selection of elements from a collection.

Since the order is not asked thus this is the case of a combination

and total arranging possibility = ⁿCₓ

total arranging possibility = ¹⁵C₄

total arranging possibility = 15! /( 11! * 41)

total arranging possibility = 1365

therefore, This is a combination case, and the number of possible arrangements is 1365.

Learn more about combination here:

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#SPJ2

Answer:

false

Step-by-step explanation:

its not correct

Answer:

41/2=20.5

Step-by-step explanation:

Answer:

(a) Find out the  a rule to describe the function.

To prove

Let us assume that the days be represted by d .

Let us assume that the height of plant be represted by y.

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

Than the function becomes

y = 12 + 0.5 × d

y = 12 + 0.5d

(b) Find out after how many days will the zucchini plant be 0.195 meter tall .

To prove

Let us assume that the days be represted by d .

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

As

1meter = 100cm

0.195 meter convert into centimeter.

= 19.5cm

Than the equation becomes

12 + 0.5d = 19.5

0.5d = -12 + 19.5

0.5d = 7.5

d = 7.5/10

d = 15 days

Therefore 15 days will the zucchini plant be 0.195 meter tall .

Answer:

95%

Step-by-step explanation:

300/284 = 0.946666... rounded the the whole percent is 95%

300 * 95% = 285

Answer:

i'm not sure but i think the answer is 5%

Step-by-step explanation:

the number five is where the percentage sign is

Answer:

155

Step-by-step explanation:

Since the question states that;

Maximum heart rate= 220 - athletes age

If athletes age = 26 years

Maximum heart rate= 220 - 26 = 194

Again;

athlete's target heart rate= 80% × Maximum heart rate

Athlete's target heart rate= 0.8 × 194= 155