Fine the area of a circle with radius 8 in.

Answer:

interest per annum is 280

interest for 2 year is 560

Step-by-step explanation:

money deposited in bank = 4000

1persent of 4000 = 40

7 persent of 4000 = 280

interest for 2 year is 280 x 2 = 560

Step-by-step explanation:

[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]

as a whole number = 5

Answer:

The answer is "lines CD & AB are perpendicular ".

Step-by-step explanation:

Given points:

[tex]A=(0,7)\\\\B=(8,-5)\\\\C=(-3,-8)\\\\D=(6,-2)[/tex]

Calculating the slope of AB: [tex]y = -\frac{12}{8}x + 7[/tex]

Calculating the slope of CD: [tex]y = \frac{6}{9}x - 6[/tex]

simplify the slop:

[tex]AB= -\frac{3}{2}\\\\CD=\frac{2}{3}\\\\[/tex]

Answer:

75.5

Step-by-step explanation:

In the picture, since x is an inscribed angle, it's arc(arc XO) would be twice it's measure. Therefore, arc XO in this picture would be represented by 2x and the larger arc(arc XYO) will be represented by 360-2x since it is all of the perimeter except for the portion that is the measure of arc XO.

For this picture, you would use:

[tex]\frac{arc XYO-arc XO}{2}[/tex] =29

[tex]\frac{360-2x-2x}{2}[/tex]                 Substitute in the measures of the arcs.

[tex]\frac{360-4x}{2}[/tex]                       Combine -2x with -2x to simplify the problem

180-2x=29               DIvide by 2

-2x= -151                   Subtract by 180 from both 180 and 29

x= 75.5                     Divide by -2. (Both numbers are - so the answer is a +)

Answer:

my answer is in this picture. sorry about my handwriting and my presentation because i am a Asian student and cant show better presentation

Answer:

This doesn't make sense because there is no C variable, but I will solve for f if that helps.

Step-by-step explanation:

[tex]f=1.80+32[/tex]

       [tex]-32[/tex]   [tex]-32[/tex]          

[tex]f=-30.2[/tex]      

Answer:

A = bh + L(s1 + s2 + s3)

Step-by-step explanation:

The formula for finding surface area of triangular prism is A = bh + L(s1 + s2 + s3).

Answer: Since both terms are perfect squares, factor using the difference of squares formula,  

a 2  −  b 2 =  ( a + b )  ( a − b)  where  a = 11  and  b = x . ( 11+x) (11-x)

Answer and Step-by-step explanation:

To find x, subtract all of the given angles from 180.

We subtract from 180 because the angles in a triangle (when added together) add up to 180.

180 - 90 - 35 = 55

x = 55 is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

55°

Step-by-step explanation:

Given :-

We know :-

→ 35 + x + 90 = 180

→ x + 125 = 180

→ x = 55°

Answer:

( x-2)^2 +(y-5)^2 = 12.25

Step-by-step explanation:

The equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

( x-2)^2 +(y-5)^2 = (3.5)^2

( x-2)^2 +(y-5)^2 = 12.25

Answer:

its answer will be 9.first by using phythagorus theorem h^2=p^2+b^2'then h=15,p=12and b=x. again by putting the values of h ,p and b we get ,(15)^2=(12)^2+x^2. 225=144+x^2, x^2=225-144, x^2=81,x=√81,x=9 answer

Answer:

I. AC = 15 cm

II. h = 7.4 cm

Step-by-step explanation:

I. Determination of AC

AB = 9 cm

BC = 12 cm

AC =?

The length AC can be obtained by using pythagoras theory as illustrated below:

AC² = AB² + BC²

AC² = 9² + 12²

AC² = 81 + 144

AC² = 225

Take the square root of both side

AC = √225

AC = 15 cm

II. Determination of the height.

AB = 9 cm

AD = 5.1 cm

BD = h =?

The height of the triangle can be obtained by using pythagoras theory as illustrated below:

AB² = AD² + BD²

9² = 5.1² + h²

81 = 26.01 + h²

Collect like terms

h² = 81 – 26.01

h² = 54.99

Take the square root of

h = √54.99

h = 7.4 cm

Answer:

C

Step-by-step explanation:

It’s c

Answer:

41 square units

Step-by-step explanation:

this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.

for me this split would be

1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.

2. a right-angled triangle ABF (the same F as for 1.).

the area of a square is the square of a side length.

the side length in 1. is 4.

so, its area is 4×4 = 16 square units.

the area of a right-angled triangle is

a×b/2

with a and b being the sides enclosing the 90 degree angle.

in our case here a = BF = 10, b = FA = 5

so the area of the triangle is 10×5/2 = 25 square units.

so, the total area is 16 + 25 = 41 square units.

Answer:

0.8 cm = 8km

0.5cm = 5km

hope this helps

Answer:

below

Step-by-step explanation:

uG =(12sin45)/sin85

Answer:

n=6

Step-by-step explanation:

5n-17=2n+1

Subtract 2n from each side

5n-2n-17=2n-2n+1

3n -17 = 1

Add 17 to each side

3n -17+17 = 1+17

3n = 18

Divide by 3

3n /3 = 18/3

n=6

[tex] \large \sf \star \: \green{Answer }\: \star[/tex]

[tex] \small \sf \fbox{n = 6}[/tex]

[tex] \small \sf \mapsto \: 5n \: - 17 = 2n + 1[/tex]

subtract 2n from both side

[tex] \small \sf \mapsto \: 5n \: - 2n \: - 17 = 2n \: - 2n + 1[/tex]

[tex] \small \sf \: \mapsto \: 3n \: - 17 = 1[/tex]

Add 17 to both side

[tex] \small \sf \mapsto \: 3n \: - 17 + 17 = 1 + 17[/tex]

[tex] \small \sf \mapsto \: 3n \: = 18 [/tex]

Divide 18 by 3

[tex] \small \sf \: n \: = \frac{18}{3} \\ [/tex]

n = 6

Answer:

D

Step-by-step explanation:

(hg)(x)=(4x+3)(x+2)=4x²+11x+6

Answer:

p = 5,624

Step-by-step explanation:

(32,476 + p) / 381 = 100

multiply both sides by 381

32,476 + p = 38,100

Subtract 32476 from both sides

p = 5,624

Answer:

Base = 10.5 cm

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENRAL FORMULAE TO BE USED IN THIS QUESTION :-

For a triangle with height 'h' & base 'b' , its area = [tex]\frac{1}{2} \times b \times h[/tex]

SOLUTION :-

[tex]Area = \frac{1}{2} \times Base \times Height[/tex]

[tex]=> 94.5 = \frac{18b}{2}[/tex]

[tex]=> \frac{18b}{2} \times 2 = 94.5 \times 2[/tex]

[tex]=> 18b = 189[/tex]

[tex]=> b = \frac{189}{18} = 10.5[/tex]

Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.

We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.

We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.

Learn more about Equation here:

https://brainly.com/question/505879

#SPJ2

Answer:

B) $3 per gallon

Step-by-step explanation:

You can see on the graph that for 1 gallon of gasoline, it is $3.

Hope this helped!

Please mark as brainliest!

Answer:

8x + 4

Step-by-step explanation:

You just gotta distribute 4(2x+1) and it gives you the expression 8x + 4

Answer:

B. The maximum area that can be enclosed by the fencing

Answer: The maximum area that can be enclosed by the fencing

Step by-step explanation: got it right on my test

Answer:

2×2-3×-5=0

Step-by-step explanation:

(2×2-3×)- 5=0

Answer:

sqrt(106) =c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

5^2 +9^2 = c^2

25+81 = c^2

106 = c^2

Taking the square root of each side

sqrt(106)= sqrt(c^2)

sqrt(106) =c

Answer:

Length of missing side is 10.44/ √106.

Step-by-step explanation:

Here we have

A right triangle with

1st side = a = 5

2nd sidd = b = 9

and , we need to find 3rd side of triangle

let the 3rd side be x.

Using Pythagoras theorem

a ² + b ² = c ²

( 5 ) ² + ( 9 ) ² = ( c)²

25 + 81 = ( c) ²

106 = ( c) ²

Taking square root of each side

√106 = √ c ²

√106 = c

10.44 = c

So, missing side if triangle is 10.44 /√106.

Answer:

out of the 100% they took away 15% leaving u with 85% to pay I think, sorry if I'm wrong

B. 180 + 10s. AND 10(18 + s)

Hope this helps! :)