What is the circumference of the circle? Use 3.14 for Pi. A circle with radius 6.4 centimeters. 20.096 cm 40.192 cm 200.96 cm 401.92 cm

Answer:

m<8 = 46°

Step-by-step explanation:

m<2 = m7 (alternate exterior angles are congruent)

Substitute

3x + 53 = 7x - 55

Collect like terms

3x - 7x = -53 - 55

-4x = -108

Divide both sides by -4

-4x/-4 = -108/-4

x = 27

m<8 + m<7 = 180° (linear pair angles)

Substitute

m<8 + 7x - 55 = 180°

Plug in the value of x

m<8 + 7(27) - 55 = 180

m<8 + 189 - 55 = 180

m<8 + 134 = 180

Subtract 134 from each side

m<8 = 180 - 134

m<8 = 46°

Answer:

1 :)

Step-by-step explanation:

Answer:

Length: 12 cm

Width: 8 cm

Height; 7 cm

Step-by-step explanation:

We are told that the areas of 2 of the faces are 84cm² and 56cm².

Now, the side faces are 4 in total with 2 each having same areas.

Thus, it means they would have the same height.

Let's find the highest common factor between 84cm² and 56cm².

The highest number that can be divide each equally is 7.

Thus;

12 × 7 = 84 cm²

8 × 7 = 56 cm²

This means, the bottom part will measure 12 cm by 8 cm.

Thus, the complete measurement is;

Length: 12 cm

Width: 8 cm

Height; 7 cm

Let's check if it will give us a Volume equal to that given.

Thus;

Volume = 12 × 8 × 7 = 672 cm²

This is same as that given and so our dimensions are correct.

Answer:

< ABE  = 109

Step-by-step explanation:

Angle Formed by Two Chords = 1/2(SUM of Intercepted Arcs)

< ABE = 1/2 ( 38+ 180)

< ABE = 1/2( 218)

< ABE  = 109

Answer:

20

Step-by-step explanation:

it equals 19.99 but if you round it equals to 20

Answer:

angle 3 is 87 degree

Step-by-step explanation:

-7x+191=-5x+163(they are alternte interior angle)

-7x+5x=163-191

-2x=-28

x=-28/-2

x=14

substitute the value of x in -5x+163

-5*14+163

-70+163

93

Now,

angle 3 + (-5x+163) = 180 degree (they are cointerior angles)

angle 3 + 93 = 180

angle 3 = 180-93

angle 3 = 87 degree

Answer:

wachiwachiwachiwawawa

Answer:

you can use desmos

Step-by-step explanation:

for example put x=88

and do the same with the rest

then put x+y+z and you will get your answer

Answer:

The number of the sequence are 2, 3, 6, 15

The difference between 2 and 3 is 1 i.e. 30.

The difference between 3 and 6 is 3 i.e. 31.

The difference between 6 and 15 is 9 i.e. 32.

Let the next number in the given sequence be some natural number x.

Now, following the pattern, the difference between 15 and x has to be equal to 33=27.

i.e.

x−15=27⟹x=27+15=42

Hence

The next number in the sequence is 42.

Answer:

3.88

Step-by-step explanation:

→ Calculate the exact value of each number

19 ÷ 5 = 3.8

3.88 = 3.888888888

15 ÷ 4 = 3.75

√15 = 3.8729

Given:

Initial value = 400

Interest rate = 5% compounded quarterly.

To find:

The function that gives you the amount of money in dollars, J(t) in t years after the initial deposit.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimals, n is the number of times interest compounded in an year and t is the number of years.

The interest rate is 5% compounded quarterly. So, r=0.05 and n=4.

Substituting [tex]P=400,\ r=0.05,\ n=4[/tex] in the above formula, we get

[tex]A=400\left(1+\dfrac{0.05}{4}\right)^{4t}[/tex]

[tex]A=400\left(1+0.0125\right)^{4t}[/tex]

[tex]A=400\left(1.0125\right)^{4t}[/tex]

The required function notation is:

[tex]J(t)=400\left(1.0125\right)^{4t}[/tex]

Therefore, the amount of money in dollars, J(t) in t years after the initial deposit is [tex]J(t)=400\left(1.0125\right)^{4t}[/tex].

Answer:

14 oranges

Step-by-step explanation:

8+6

Answer:

-2 < x < ఔ

Step-by-step explanation:

F’x = 3x^2 + 18x + 24

F’x = 3(x^2 +6x +8)

F’x = 3(x+4)(x+2)

One of the points of inflection will be at x = -2, and after -2 we know the equation will increase because it is positive

Insta: lankey.t

Answer:

132/100, or 1.32

Step-by-step explanation:

Just change 13/10 to 130/100 and add 2/100 to make it 132/100, or 1.32 :)

Answer:

subtract 4 from both sides

Step-by-step explanation:

Given

x² + 2x - 11 = 4

First step : subtract 4 from both sides

x² + 2x - 15 = 0 ← in standard form

Second step : factorise the quadratic

(x + 5)(x - 3) = 0 ← in factored form

Third step : equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 3 = 0 ⇒ x = 3

Fourth step : state the solutions

solutions are x = - 5, x = 3

Answer:

Option A = 8t

Step-by-step explanation:

6t + 3t - 8t = t

6t + 3t = 9t

9t - 8t = t

Answer:

a) El número de filas de limones es [tex]n = \sqrt{361} = 19[/tex]. Es decir, se necesitan 19 filas de árboles.

b) No sobran árboles.

c) 0 árboles.

Step-by-step explanation:

Dado que las plantas de limón deben cubrir un terreno cuadrado, entonces se debe satisfacer que la siguiente condición:

[tex]n^{2} \le 361[/tex]

Donde [tex]n[/tex] es el número de filas de árboles de limón.

Si [tex]n < 19[/tex], entonces sobrarán árboles.

a) El número de filas de limones es [tex]n = \sqrt{361} = 19[/tex]. Es decir, se necesitan 19 filas de árboles.

b) No sobran árboles.

c) 0 árboles.

Answer:

29

Step-by-step explanation:

Hope this helps

Have a great day

Answer:

y=1

Step-by-step explanation:

4(1+2y)=12y

4*1 + 4*2y=12y

4 + 8y=12y

4=12y - 8y

4=4y

4/4=y

1=y

Answer:

Step-by-step explanation:

take 74 degree as reference angle

using cos rule

cos 74 =adjacent/hypotenuse

0.275=x/12

12*0.275=x

3.3=x

take 36 degree as reference angle

using sin rule

sin 36=opposite/hypotenuse

0.587=x/11

0.587*11=x

6.457=x

6.5=x

take 39 degree as reference angle

using tan rule

tan 39=opposite/adjacent

0.809=13/x

x=13/0.809

x=16.06

x=16.1

take 16 degree as reference angle

using tan rule

tan 16=opposite /adjacent

0.286=x/14

0.286*14=x

4.00=x

4.0=x

x=

Answer:

337+x+89y+210xy

Step-by-step explanation:

x-2+(5y*7*6x)+89y-6+345

x-2+(210xy)+89y-6+345

x-2+210xy+89y-6+345

-2-6+345+x+89y+210xy

337+x+89y+210xy

Answer:

X = 19

Step-by-step explanation:

Two parallel lines cut by a transversal means the corresponding angles are congruent. Set each equation equal to each other and solve for x.

2x+78= 7x-17

Add 17 to both sides: 2x + 95= 7x

Then subtract 2x from both sides: 95= 5x

divide each side by 5, for final answer: x= 19

Answer:

4 pounds 2 oz

Step-by-step explanation:

16 oz = 1 pound so you add 10 and 8 to get 18-16 to get 4 pounds 2 oz

3

Hope this helps! :)

______________

Answer:

yes

Step-by-step explanation:

b/c he only filled his car only one time so he might have remained gallons of gas

Answer:

170

Step-by-step explanation:

Answer:

the correlation coefficient is about 7.544. This means that there is a strong positive correlation btw the variables.

Step-by-step explanation:

I had this question on my last assignment and this was the correct answer. Hope this helps:)