Simplify the expression. Someone help please...

Answer:  -52.2936778905

Step-by-step explanation:

Step-by-step explanation:

Given :-

And we need to find out the equation of the circle. Since the diameter is 24 u therefore it's radius will be 12 u . Now we can use the Standard equation of circle to find out the equation .

Standard equation of circle :-

[tex]\implies (x-h)^2+(y-k)^2 = r^2 [/tex]

[tex]\implies (x-(-13))^2+(y-(-2))^2 = 12^2 \\\\\implies ( x+13)^2+(y+2)^2=144 \\\\\implies x^2+169+26x+y^2+4+4y=144\\\\\implies x^2+y^2+26x+4y+ 29 =0[/tex]

Answer:

A) P(T) = 30/120 = 1/4

B) P(T) = 50

Step-by-step explanation:

A) P(T) = 30/120 = 1/4

B) P(T) = 1/4 of 200 which is 50

a. Probability that the coin shows tails is  [tex]\frac{1}{4}[/tex].

b. 50 number of times the coin shows tails.

Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.

Probability = [tex]\frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]

According to the question

a. John throws a biased coin 120 times. It shows heads 90 times.

Probability formula:

Probability = [tex]\frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]

Probability that the coin shows heads = [tex]\frac{90}{120}[/tex] = [tex]\frac{3}{4}[/tex]

Probability that the coin shows tails = 1 - [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{4}[/tex]

b. Carly throws the same coin 200 times.

From a, we know the probability that the coin shows tails is  [tex]\frac{1}{4}[/tex].

Number of times the coin shows tails = 200 × [tex]\frac{1}{4}[/tex] = 50

Find out more information about probability here

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Answer:

it's B. i individually solved all of them using the pythagorean theorem.

Step-by-step explanation:

"The Pythagorean theorem states that, in a right triangle, the square of the length of the hypotenuse (the side across from the right angle) is equal to the sum of the squares of the other two sides. So if the length of the hypotenuse is c and the lengths of the other two sides are a and b, then c^2 = a^2 + b^2"

sqrt61=6+5

square everything on both sides and ur left with

61=36+25

61=50+11

61=61

boom

Answer:

240 yd³

Step-by-step explanation:

[tex]V=\frac{lwh}{3}[/tex]

10 · 8 · 9 = 720

720 ÷ 3

240 yd³

Answer:

[tex]volume = \frac{1}{3} lwh\\\\convert \ yard \ to \ feet\\8yd =24feet\\9yd= 27feet\\\\volume = \frac{1}{3}*10*24*27 = 10*8*27 = 2160 cubic feet[/tex]

Answer:

Simplest form is 5 1/2

Step-by-step explanation:

2 3/14 + 3 4/14 =

31/14 + 46/14 =

77/14 =

5 1/2

========================================================

Explanation:

Minor arc QV is 80 degrees because it adds to minor arc VU = 100 to get 80+100 = 180. Note how angle QPU = 180, since it's a straight line and QU is a diameter of the circle.

Add up the minor arcs

to get:  44+100+80 = 224

This means arc TUQ is 224 degrees. Inscribed angle QZT subtends arc TUQ. Use the inscribed angle theorem to say that the inscribed angle is half of the arc it cuts off.

angle QZT = (arc TUQ)/2

angle QZT = 224/2

angle QZT = 112 degrees

Given:

The figure of a circle.

The measure of arc SR = 75 degrees.

Measure of angle RSQ = 95 degrees.

To find:

The measure of SQ.

Solution:

Let us consider, O be the center of the circle.

According to the central angle theorem, the measure central angle on an arc is twice of inscribed angle on the corresponding angle.

Using the central angle theorem, we get

[tex]m\angle QOR=2\times m\angle RSQ[/tex]

[tex]m\angle QOR=2\times (95^\circ)[/tex]

[tex]m\angle QOR=190^\circ[/tex]

It is the central angle on major arc QR.

We know that the measure of complete central angle is 360 degrees.

The central angle on minor arc QR is:

[tex]360^\circ -190^\circ =170^\circ[/tex]

It means the measure of arc RSQ is 170 degrees.

[tex]m(arc RS)+m(arc SQ)=m(arcRSQ)[/tex]

[tex]75^\circ+m(arc SQ)=170^\circ[/tex]

[tex]m(arc SQ)=170^\circ -75^\circ[/tex]

[tex]m(arc SQ)=95^\circ[/tex]

Therefore, the measure of arc SQ is 95 degrees.

Answer:

Step-by-step explanation:

mean is average, so if we label the first through fifth days of january a-e we can solve it.

So average of the first four is (a+b+c+d)/4 = 1 and the first five is (a+b+c+d+e)/5 = 2.  Since it's easy, let's get rid of the fraction in both.

(a+b+c+d)/4 = 1 and (a+b+c+d+e)/5 = 2

a+b+c+d = 4 and a+b+c+d+e = 10

Now, we know a+b+c+d is 4, so we can replace that in the second equation

a+b+c+d+e = 10

4 + e = 10

e = 6

ad since e is the fifth day, we know the temperature of it.  Let me know if something here didn't make sense

Answer:

2.064

Step-by-step explanation:

Answer:

62 degrees.

Step-by-step explanation:

Answer:

72,70,72, 71,71,70,69,72,69

I really didn't understand the question or what to do, but I tried.

Step-by-step explanation:

Answer:

Step-by-step explanation: a is complementary b is 52° c is the same as a d is 142°

Answer:

b is 52°  and A D is 142

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

your welcome hope this helps :)

Answer:

because the graphs of the two equations overlap each other

Step-by-step explanation:

Equations that have an infinite amount of solutions overlap each other when graphed.

This is because equations with an infinite amount of solutions have a similar equation so when graphed you only see one line

Answer:

A.

Step-by-step explanation:

From the given information:

If A = m × n matrix

where;

b  is a vector in [tex]R^m[/tex]

Then; the statement that doesn't fit and is not related to the other three from the given options is Option A.

This is because the statement in Option A appears to be inconsistent. For the model Ax=b to have a solution, A must be non-singular and b must be in A's column space.

Option c and d are equivalent, also option b and c are equivalent.

Answer:

(-1/12)(x-3)(x-8)

or

[tex]-\frac{x^2-11x+24}{12}[/tex]

Step-by-step explanation:

If something has x intercepts of (3,0) and (8,0) we can write the following

y=(x-3)(x-8)

To make the y intercept (0,-2) we will mulitply this by some constant, a

y=a(x-3)(x-8)

to solve for a set y= -2 and x=0

a(0-3)(0-8)= -2

a(-3)(-8)= -2

24a= -2

a= -1/12

Which means our final equation is

(-1/12)(x-3)(x-8)

which in standard form is equal to

[tex]-\frac{x^2-11x+24}{12}[/tex]

Answer:

To decide whether to add or subtract,  determine if the values of the  coefficients are the same or opposites:

. If the values are the same, subtract the  equations.

• If the values are opposites or additive  inverses, add the equations.

Step-by-step explanation:

Given

[tex]12x = 48 - 8y[/tex]

[tex]10x + 8y = 38[/tex]

Required

How to solve

Options (1) and (2) are incorrect because none of the options eliminate x or y.

For option (3),

- Check for the coefficients of x and y

- If they are the same (sign and value), then subtract; otherwise add

For instance:

[tex]12x = 48 - 8y[/tex]

[tex]10x + 8y = 38[/tex]

Rewrite the second equation

[tex]12x = 48 - 8y[/tex]

[tex]10x = 38 - 8y[/tex]

The coefficient of y are the same, so we subtract;

[tex]12x - 10x = 48 - 38 -8y -(-8y)[/tex]

[tex]12x - 10x = 48 - 38 -8y +8y[/tex]

[tex]2x = 10[/tex]

[tex]x= 5[/tex]

See that y has been eliminated

Answer:

CAN NOT SEE SHAPE

Step-by-step explanation:

1.Distribute

-30=5(x+1). x

[tex]-30=5x^{2}+5x[/tex]

2. Move terms to the left side

[tex]-30=5x^{2} +5x[/tex]

[tex]-30-(5x^{2} +5x)=0[/tex]

3. Rearrange terms

[tex]-30-5x^{2} -5x=0[/tex]

[tex]-5x^{2} -5x-30=0[/tex]

Hope this helps! Sorry if I'm wrong

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{ORIGINAL EQUATION}\downarrow[/tex]

[tex]\large\textsf{ -30 = 5(x + 1)}[/tex]

[tex]\large\text{TURN the EQUATION}[/tex]

[tex]\large\textsf{5(x + 1) = -30}[/tex]

[tex]\large\text{DISTRIBUTE \textsf{5} WITHIN the PARENTHESES}[/tex]

[tex]\large\textsf{5(x) + 5(1) = -30}[/tex]

[tex]\large\textsf{5(x) = \bf 5x}\\\large\textsf{5(1) = 5}[/tex]

[tex]\rightarrow\large\textsf{5x + 5 = -30}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{5x + 5 = -30}}[/tex]

[tex]\large\text{SUBTRACT \textsf{5} to BOTH SIDES}[/tex]

[tex]\large\textsf{5x + 5 - 5 = -30 - 5}[/tex]

[tex]\large\text{CANCEL out: \textsf{5 - 5} because that gives you \textsf{0}}[/tex]

[tex]\large\text{KEEP: \textsf{-30 - 5} because that helps you solve for your \textsf{x-value}}[/tex]

[tex]\large\textsf{-30 - 5 = \bf -35}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{5x = -35}}[/tex]

[tex]\large\text{DIVIDE \textsf{5} to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{5x}{5}= \dfrac{-35}{5}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{5x}{5}}\large\text{ because that gives you the value of \textsf{1}}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{-35}{5}}\large\text{ gives you the \textsf{x-value}}[/tex]

[tex]\large\textsf{x = }\mathsf{\dfrac{-35}{5}}[/tex]

[tex]\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR x-value}[/tex]

[tex]\boxed{\boxed{\large\textsf{ANSWER: \huge \bf x = -7}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

x=10

Step-by-step explanation:

180-170 as 180 is the whole sttaight line

Answer: 1/3

Step-by-step explanation: Since 2/6=1/3 we could just add those together and find out that 2/3 is painted and 1/3 isn't.

Answer:

1/3 is the answer add white and purple fraction which give 2/3 so 1/3 would be left

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

2x+3x+5=90

5x=90-5

x=85/5

x=17

Step-by-step explanation:

9514 1404 393

Answer:

  D

Step-by-step explanation:

The formula for the area of a segment is ...

  A = 1/2r²(θ -sin(θ))

for radius r and central angle θ.

Here, we have θ = π/2, so this becomes ...

  A = 1/2r²(π/2 -1) . . . . . matches choice D

Answer:

here, diameter is 4 cm

radius=diameter/2

=4/2 cm

=2 cm

now use formula pie (r)^2 where pie is 3.14

=pie *(r)^2

=3.14*(2cm)^2

=12.56 cm^2

Step-by-step explanation:

Answer:

1.5×10^8

Step-by-step explanation:

Scientific notation can be regarded as

way to express large or too small numbers conveniently written in decimal form.

Given (3.4x10 4) (4.5x10 3).

To write your in scientific notation

3.4x10^4) (4.5x10^3)

This is multiplication

(3.4x10^4) ×(4.5x10^3)

(3.4x10^4)= 34000

(4.5x10^3)= 4500

Then multiply

4500 × 34000

= 153000000

= 1.5×10^8