Find the center and radius of the circle represented by the equation below.
(x − 13)² + (y + 11)² = 361
-
Center:
Radius:

Answer:

Each instalment = £27.45

Step-by-step explanation:

Given:

Remaining balance to be paid = Price of work trolley - deposit

                                                   = £59.90 - £5

                                                   = £54.90

If the remaining balance is to be paid in 2 instalments:

Cost of each instalment = remaining balance ÷ 2

                                        = £54.90 ÷ 2

                                        = £27.45

Answer:

[tex][tex]\: \blue{ \rule{10pt}{100000pt}}[/tex][tex]\: \pink{ \rule{10pt}{100000pt}}[/tex][tex]\: \green{ \rule{10pt}{100000pt}}[/tex][tex]\: \violet{ \rule{10pt}{100000pt}}[/tex]

\\ [tex]\: \blue{ \rule{10pt}{100000pt}}[/tex][tex]\: \pink{ \rule{10pt}{100000pt}}[/tex][tex]\: \green{ \rule{10pt}{100000pt}}[/tex][tex]\: \violet{ \rule{10pt}{100000pt}}[/tex]

[/tex]

Answer:

The correct option is C because it shows the accurate cosine rule

Equation to get the third side :  [tex]c = \sqrt{(42^2 +35^2 -2\times 42\times35\times cos(120\degrees ))}[/tex]

The correct option is C.

Given, that sides of triangle are 42 cm and 35 cm .

The third side can be found using the Law of Cosines,

[tex]c^2 = a^2 +b^2 - 2ab\times cos(C)[/tex]

where C is the angle opposite the third side (c) .

For the given side lengths, then the third side can be found .

Here,

a = 42

b = 35

∠C = 120°

Substitute the values,

[tex]c = \sqrt{(42^2 +35^2 -2\times 42\times35\times cos(120\degrees ))}[/tex]

[tex]c = \sqrt{1764 + 1225 + 1470} \\c = \sqrt{4456}\\c = 66.75[/tex]

Hence the third side is of 66.75 units.

The correct option is C .

Know more about cosine law,

https://brainly.com/question/30766161

#SPJ5

Answer:

6.2

Step-by-step explanation:

I don't think you need my explanation anymore.

one less than the 18 and a number

18 × n = (product) - 1

Answer:

(-4, -6) and (5, -6) are 9 units away from each other on a coordinate grid.

Step-by-step explanation:

Use the distance formula:

We are given the points (-4, -6) and (5, -6). Substitute these points into the formula:

The distance between (-4, -6) and (5, -6) on a coordinate plane is 9 units.

109.36 to nearest hundredth

A= pi x r x r

= pi x 5.9 x 5.9

= 109.3588....

Hope this helps!

The value of a for the inverse function is 2, the value of b for the inverse function is 1, and the value of c for the inverse function is 0.25.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The inverse of the logarithmic function [tex]f(x) = \log_{0.5} x[/tex] is [tex]f^{-1}(x) = 0.5^x[/tex]

For x = −1 in the inverse function, then the value of a will be

[tex]f^{-1}(x) = 0.5^{-1}\\\\f^{-1}(x) = 2[/tex]

The value of a is 2.

For x = 0 in the inverse function, then the value of b will be

[tex]f^{-1}(x) = 0.5^{0}\\\\f^{-1}(x) =1[/tex]

The value of b is 1.

For x = 2 in the inverse function, then the value of c will be

[tex]f^{-1}(x) = 0.5^{2}\\\\f^{-1}(x) = 0.25[/tex]

The value of c is 2.

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

a.2

b.1

c.0.25

Second part: Graph B (2nd) one

Step-by-step explanation:

Step-by-step explanation:

Attached picture might help you out

Answer:

I think 4 years

(not sure)

Answer: 7.1 years

Step-by-step explanation:

Lets write a simple interest expression for this:

SI = P(1 + rt)

10,000 = 1,000(1 + 0.065[t])

This model is not quite complete yet, since he is adding 1200 every year. To fix this, we simply add a constant term, 1200t, where t is the number of years that have passed.

10,000 = 1,000(1 + 0.065[t]) + 1200t

Now we just need to evaluate this:

10,000 = 1,000 + 65t + 1200t

9,000 = 1265t

.: t ≅ 7.115

It will take about 7.1 years

Answer: [tex]560m^2[/tex]

Step-by-step explanation:

First begin by finding the surface area of the base, which is simply length * width. In this case,

[tex]14*14 = 196 m^2[/tex]

Next, find the surface area of one of the sides of the pyramid. This formula for this is:

[tex]\frac{1}{2}*base*height[/tex]

Since we know the height to be 13 meters and the base to be 14 meters, we can solve for one side.

[tex]\frac{1}{2}*14*13 = 91 m^2[/tex]

We multiply this by 4 to give us all 4 sides of the pyramid:

[tex]91m^2 * 4 = 364m^2[/tex]

Adding together the surface area of the sides and the base gives us:

[tex]196m^2 + 364m^2=560m^2[/tex]

Step 1. Isolate the variable x:

[tex]3x-11 > 7x+9[/tex]

[tex]-4x > 20[/tex]

[tex]x > -5[/tex]

Step 2. Use the simplified inequality to graph:

I hope this helps!

Answer:

12. Octagon, Regular

13. Triangle, Regular

14. Rectangle, Irregular

15. Pentagon, Irregular

Step-by-step explanation:

Irregular vs. regular boils down to whether the sides and angles of the figure are all equal. In figures 14 and 15, the sides are clearly not all the same length, so they are irregular.

Answer:

9(x-1)(x-1) or 9(x-1)²

Step-by-step explanation:

9x² - 18x + 9

factor out a 9

9(x² - 2x + 1)

use middle term factorization to factor x² - 2x + 1

9(x-1)(x-1) or 9(x-1)²

Middle term factorization explained:

For x² - 2x + 1, you want to find 2 numbers that multiply to +1 and add to -2. You then split x² to x and x and add the 2 numbers individually to x.

It should look something like (x+1st number)(x+2nd number)

the two numbers that multiply to get to 1 and add to get to -2 are -1 and -1

( -1 × -1 = 1 and -1 + -1 = 2 )

so we then add the number to the split x² to get (x-1)(x-1) which is the same as (x-1)², the 9 is then added to the factored form to get 9(x-1)(x-1) or 9(x-1)²

Answer:

When dissolved, bases release hydroxide ions, OH-(aq) into solution.

Step-by-step explanation:

Water is the product of an acid and base reacting. Chemists say that the acid and base cancel or neutralise each other, hence the reaction is known as "neutralisation"

Answer: It increases the concentration of OH- in solution.

Step-by-step explanation:

Answer: part A I think 100 cause its 100 place value umm for part B is I can say 20

i really don't know but I'm not good at it either LOL

Answer:

Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other. They can never be perpendicular to each other.

Step-by-step explanation:

hope it helps, God bless!

Answer:

12,240 W

Step-by-step explanation:

Use a proportion.

8/8160 = 12/x

8x = 8160 × 12

x = 1020 × 12

x = 12,240

Answer: 12,240 W

The ways that the policies of President Kennedy and President Johnson are similar and different is given below:

After the assassination of Kennedy, Johnson was known to have followed the footsteps of his predecessor's and went ahead on implementing some of his programs.  Johnson was known to have went ahead with the the anti-poverty program and the Civil Rights Bill.

The differences between the both presidents were:

Conclusively, these two president were said to be very were similar, and yet they were different.

Learn more about  President Kennedy from

https://brainly.com/question/13721861

Using the equivalence concept, it is found that the correct option is given by:

a the expressions have the same value for any value of y.

Two expressions are said to be equivalent if for the same input, they have the same value.

In the expressions given in this problem, the input is y, hence they have the same value for any value of y, which means that option A is correct.

More can be learned about equivalent expressions at https://brainly.com/question/2972832

Answer:

The area of the mural is 60 feet.

Step-by-step explanation:

The equation for area is L(Length) x W(Width). So, take the length of the mural (12 feet) & multiply it by the width (5). The answer you should get is 60 feet.

Answer:

Basically the statment is saying that in order to get P (A and B) you have to multiply P(A) by P(B).

Answer:

I think it means the probability of selecting (AnB) is equal to Probability of selecting A × probability of selecting B

Step-by-step explanation:

Please rate bainliest if you think I deserve

Answer:

It should be $100 to get it cleaned.

I believe the answer is $100

[tex]P(x)=4x^3-6x^2+ax-2\\\\P(3)=2\\\\\implies 4\cdot 3^3-6 \cdot 3^2 +3a-2=2\\\\\implies 108-54-4 +3a=0\\\\\implies 50+3a=0\\\\\implies a = -\dfrac{50}3[/tex]

Answer:

The value of a = -16.6.... or -16.7

Step-by-step explanation:

Given :

P(3) = 2

P(x) = 4x^3 - 6x^2 + ax – 2

=> 2 = 4(3)³ - 6(3)² + a(3) -2

=> 2 = 4(27) - 6(9) +3a - 2

=> 2+2 = 108 - 54 +3a

=> 4 = 54 + 3a

=> 4-54 = 3a

=> -50 = 3a

=> -50/3 = a

=> a = -16.6.... or -16.7

Answer:

Square Root of 162 ~ 12.727

Step-by-step explanation:

Simply do the Pythagorean Theorem!

a^2 + b^2 = c^2

This case we're solving for the long side which is the hypothenuse.

9^2+9^2= c^

81+81=c^

162=c^

Square root of 162

Which is 12.727

we should find perimeter.

45+40+50=135m.

then, we should multiply 135 and rate of per meter.

135×60=8100Rs.

Answer:2 11/12

Step-by-step explanation:

7/12+28/12= 35/12= 2 11/12

28/12=7/3 btw

2 4/12+7/12=2 11/12

Answer:

Ok the answer is going to be 35/12

try that I hope I helped you

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

90, 180, 270, and 360 are standard position because they hold a part of a 90 angle

Answer:

Step-by-step explanation:

Standard position means that you will move clockwise about the origin to create the angle.

Answer:

c

Step-by-step explanation:

the number(1) with the place value hundreth has nothing after it so it stays the same

Answer:

I believe the answer would be 717. Correct me if I'm wrong but that is what I believe the answer is.

Step-by-step explanation:

Since the answer is talking about hundredth, you would look at the decimal.

The decimal states that its .51, which means it could not be 716, since the decimal is less than 50, so your answer SHOULD be B). 717