(PLEASE HELP) 16
If a parallelogram has an
angle measure of 37º what
is the sum of the other
three angles?

Answer:

[tex](a)\ f(8) = 200(1 + 3.1\%)^8[/tex]

(b) After 8 years, the savings account has $255.32

Step-by-step explanation:

Given

[tex]a = 200[/tex] ---- initial (i.e. when t = 0)

[tex]r =3.1\%[/tex]

[tex]t = 8[/tex]

Solving (a): Model the situation

For growth, an exponential function is represented as:

[tex]f(t) = a(1 + r)^t[/tex]

This gives:

[tex]f(8) = 200(1 + 3.1\%)^8[/tex]

Solving (b): The solution to (a)

We have:

[tex]f(8) = 200(1 + 3.1\%)^8[/tex]

Express percentage as decimal

[tex]f(8) = 200(1 + 0.031)^8[/tex]

[tex]f(8) = 200(1.031)^8[/tex]

[tex]f(8) = 200*1.2766[/tex]

[tex]f(8) = 255.32[/tex]

Answer:

x=6

ABC= 135 degrees

Step-by-step explanation:

ABE and CBD are congruent angles (don't remember the theorem)

therefore

3x+27=45

solve for x

x=6

ABC and CBD are supplementary (meaning they add to 180)

Answer:

6

Step-by-step explanation:

Step-by-step explanation:

I used Pythagoras Theorem to find the diagonal distance as placement of objects is right angles triangle.

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

a : Elm street

b : Birch street

c : Diagonal distance

c^2 = a^2 + b^2

c^2 = 15^2 + 8^2

c^2 = 225 + 64

c = √289

c = 17 blocks

I added the total distance of the original route Joline took

= 15 blocks + 8 blocks

= 23 blocks

How much less distance does she have to walk if she took the diagonal route

= Total distance of original route - distance of diagonal route

= 23 - 17

= 6 blocks

Joline have to walk less 6 blocks if she took the diagonal route compared to her original route

Answer:

A) 7p^5q^4

Step-by-step explanation:

to get 5pq² to equal 35p^6q^6 you must multiply by:

7p^5q^4 because you must add the exponents

20 / 52 = 5 / 13

Probability(P) is the likelihood of occurrence of an event. It is given by;

P = total number of favourable outcomes ÷ total number of possible outcomes

In a pack of playing cards, there are 52 cards altogether.

Therefore, the total number of possible outcomes = 52

To get the probability that a card drawn at random is neither a face nor a black card, the following should be noted.

i. There are 12 face cards in the pack. These are the kings (4 cards), queens(4 cards) and the jacks (4 cards).

Therefore, number of cards that are not face cards = 52 - 12 = 40

ii. Black cards are half of the total number of cards = 26.

These black cards contain half of the kings, queens and jacks cards = 6 which are already included in the face cards. Therefore, the remaining black cards will be 26 - 6 = 20

Neither a face card nor a black card = 40 - 20 = 20 [number of favourable outcomes]

The probability of getting neither a face card nor a black card is

=> total number of favourable outcomes ÷ total number of possible outcomes

=> 20 / 52 = 5 / 13

Answer:

√7 / 4

Step-by-step explanation:

Trigonometrical identity are used to show the relationship between the sides and angles of a right angled triangle. Some trigonometric identities are:

sinΘ = opposite / hypotenuse, cosΘ = adjacent / hypotenuse, tanΘ = opposite / adjacent.

Given that cosΘ = 3 / 4

Therefore, cosΘ = adjacent / hypotenuse = 3 / 4

adjacent = 3, hypotenuse = 4. Let x be the opposite side, to get the opposite side, we use Pythagoras theorem:

opposite² + adjacent² = hypotenuse²

x² + 3² = 4²

x² + 9 = 16

x² = 7

x = √7

sinΘ = opposite/hypotenuse = √7 / 4

Answer:

3x - 4 =  32

2x =  24

5x + 10 = 70

4x - 8 = 40

Step-by-step explanation:

Please find the complete question in the attached image

Perimeter = sum of sides of the quadrilateral

166 = 4x - 8 + 5x + 10 + 2x + 3x - 4

166 = 14x - 2

combine like terms

166 + 2 = 14x

168 = 14x

x = 12

substitute for x in each of the sides

3x - 4 = 3(12) - 4 = 32

2x = 2 x 12 = 24

5x + 10 = 5(12) + 10 = 70

4x - 8 = 4(12) - 8 = 40

Answer:

12x - 3y

Step-by-step explanation:

Combine Like Terms

10x + 2x = 12x

Answer:

36 cubic inch

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

[tex]V=whl[/tex]

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

So:

6 × 3 × 2 = 36

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Have a good day :)

Answer:

TO find the answer, first you have to find the formula for volume of a cone-

The formula is

V= 1/3 times base times height

So V= (1/3) (pi3^2) (12)

V= 113.04

By the way for the base you have to find the volume of a circle. I divided the diameter by 2 to find the radius.

and pi is 3.14

9514 1404 393

Answer:

  ₹ 30000

Step-by-step explanation:

The simple interest formula is ...

  I = Prt . . . . . . principal P invested at rate r for t years

Fill in the values you know, and solve for the one you don't know.

  9000 = P(0.06)(5)

  9000/0.30 = P = 30000

The principal that will give ₹9000 in interest is ₹30000.

A =?

P= 9000

t = 5 yrs

r = 6% = 0.06

A = p(1+r)^t

A = 9000(1+0.06)⁵

A = 9000× 1.338

A = 12044 Rs.

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

2 + 2 = 4

5 + 5 = 5

4/5

Answer:

If it is:

1,089-4,445= -3,356

but if it is the other way:

4,445-1,089= 3,356

Hope it helped!

Answer:

Its a Subtraction problem

4445-1089

=3356

Answer:

(-3, -4)

Step-by-step explanation:

Handy fact: the average of two numbers is exactly halfway between them.

To find the midpoint, average the x-coordinates; average the y-coordinates.

(1 + -7)/2 = -6/2 = -3

(-8 + 0)/2 = -8/2 = -4

The midpoint is (-3, -4).

Answer:

no  x = -8/13

Step-by-step explanation:

6x – (3x + 8) = 16x

Combine like terms

6x -3x -8 = 16

3x-8 = 16

Subtract 3x from each side

3x-8-3x = 16-3x

-8 = 13x

Divide by 13

-8/13 = 13x/13

-8/13 =x

Answer:

No, the answer would be -8/13

Step-by-step explanation:

6x-(3x+8)=16x

6x-3x-8=16x

3x-16x=8

-13x=8

x=-8/13

Answer:

x = 9

Step-by-step explanation:

Of course I'll do very simple explanation!

every time you see a straight line (nondiagonal) it measures 180°.

so if we're trying to solve for x in this case, we'll subtract 180° - 40° = 140°.

Then use the statement to solve for x

[tex]10x+50=140[/tex]

[tex]10x-50[/tex] = - 50    Subtract 50 from both sides

[tex]10x[/tex]         [tex]=[/tex]  90     Divide 10 from both sides

x             =   9      

Answer:

8.3

Step-by-step explanation:

Use the pythagorean theorem: a2 + b2 = c2 a2 would be 24.1 and c2 would be 25.5. square them then subtract a2 from b2. then find the square root of your answer which is 8.3

Answer:

Tangent

Step-by-step explanation:

Given

[tex]\angle C = 50[/tex]

See attachment for complete question

Required

Function to calculate BC

If AB is known, BC is calculated as:

[tex]\tan(C) = \frac{AB}{BC}[/tex]

Substitute d for AB and 50 for C

[tex]\tan(50) = \frac{d}{BC}[/tex]

Make BC the subject

[tex]BC = d * \tan(50)[/tex]

Hence, BC can be found using tangent

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

copy and paste the above on to your computer for future reference

n= Hyp

m= adj

8 = Opp

∠=50°

sin(50) = 8/n

n = 8/sin(50)

n = 10.44325

n= 10.4 ( to nearest 10th)

tan(50) =  8 / m

m = 8 / tan(50)

m = 6.712797

m = 6.7 ( to nearest 10th )

:)  

Answer:

Sn = -9(1-(-3)^n)/4

Step-by-step explanation:

Since r < 1, the sum of nth term of a geometric sequence is expressed as;

Sn = a(1-r^n)/1-r

a is the first term

n is the number f terms

r is the common ratio

An = -9(1-(-3)^n)/1-(-3)

Sn = -9(1-(-3)^n)/4

Hence the sum of the nth term of the series is Sn = -9(1-(-3)^n)/4

Answer:

5.7 feet i think

Step-by-step explanation:

Answer:

160 cm i think

Step-by-step explanation:

Answer:

the answer is 6.8

Step-by-step explanation:

The computation is shown below:

Since we have to determined the 50th percentile play

So,

= 50(nth value) ÷ number of observations

= 50(nth value) ÷ 10

= 5th value

= 6.8

Hence the answer is 6.8

The same is to be considered and relevant

Answer:

[tex] \frac{x + 7 }{x - 3} [/tex]

Step-by-step explanation:

First factorize both expressions

[tex] \frac{ {x }^{2} + 11x + 28 }{x { }^{2} + x - 12} \\ \frac{x {}^{2 } + 7x + 4x + 28 }{x { }^{2} + 4x - 3x - 12 } \\ \frac{x(x + 7) + 4(x + 7)}{x(x + 4) - 3(x + 4) } \\ \frac{(x + 7)(x + 4)}{(x + 4)(x - 3)} [/tex]

Now you can cross out x+4

and you'll be left with

[tex] \frac{x + 7}{x - 3} [/tex]

Answer:

3.12mm= 31,2cm

3.12= 0.312m

3.12 = 0.000312km

Answer:

Step-by-step explanation:

1/3 - 1/6

take the lcm of 3 and 6

lcm=6

=1*2-1/6

=2-1/6

=1/6