Hello anyone mind to help

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:

8

Step-by-step explanation:

your welcome hope this helps :)

Answer:

The expected number of keys she will try before she opens the door is 4.5.

Step-by-step explanation:

A woman has eight keys on a key ring, one of which fits the door she wants to unlock.

Each of them is equally as likely to be the one to work, which means that this situation is represented by an uniform distribution with lower bound [tex]a = 1[/tex] and upper bound [tex]b = 8[/tex].

Find the expected number of keys she will try before she opens the door.

The expected value of the uniform distribution is given by:

[tex]E = \frac{a + b}{2}[/tex]

Considering [tex]a = 1, b = 8[/tex], as is the case in this exercise:

[tex]E = \frac{1 + 8}{2} = 4.5[/tex]

The expected number of keys she will try before she opens the door is 4.5.

Answer:

[tex](c)\ \tan B = \sin A[/tex]

Step-by-step explanation:

Given

[tex]\angle A + \angle B = 90[/tex] --- Complement angles

See attachment for complete question

Required

Which is not always true

To do this, we simply test each option

[tex](a)\ \sin A = \cos B[/tex]

The above is always true, if A and B are complements.

Examples are:

[tex]\sin(40) = \cos(50)[/tex]

[tex]\sin(90) = \cos(0)[/tex]

etc

[tex](b)\ \sec A = \csc B[/tex]

The above is always true, if A and B are complements.

The expression can be further simplified as:

[tex]\frac{1}{\cos A} = \frac{1}{\sin B}[/tex]

Cross Multiply

[tex]\sin B = \cos A[/tex]

This is literally the same as (a)

[tex](c)\ \tan B = \sin A[/tex]

The above is not always true, if A and B are complements.

The expression can be further simplified as:

[tex]\frac{\sin B}{\cos B} = \sin A[/tex]

Cross multiply

[tex]\sin B = \sin A * \cos B[/tex]

If A and B are complements. then

[tex]\sin A = \cos B[/tex]

So, we have:

[tex]\sin B = \sin A * \sin A[/tex]

[tex]\sin B = \sin^2 A[/tex]

The above expression is not true, for values of A and B

[tex](d) \cot B = \tan A[/tex]

The above is always true, if A and B are complements.

An example is:

[tex]\cot (55) = \tan (25) = 0.7002[/tex]

etc.

The surface area of the sphere is 113 square cm

The radius is given as:

r = 3 cm

The surface area is calculated as:

[tex]A = 4\pi r^2[/tex]

So, we have:

[tex]A = 4\pi * 3^2[/tex]

Evaluate the product

A = 113

Hence, the surface area of the sphere is 113 square cm

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Answer: 113

Step-by-step explanation: SA formula is = 4*pi*r^2, input our own values into that, and we get 4*3.14*5^2 = 113.04, round down, and you get 113

Answer:

0,-1, -7-2 is the correct answer

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:

f(2) = -3

g(-3) = -5

Step-by-step explanation:

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

Answer:

Answer D

Step-by-step explanation:

The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.

Answer:

I don't see where the question is...

Step-by-step explanation:

Answer:

no pasa nada

Step-by-step explanation:

espero que eso te ayude:)

Answer:

Cualquier número dividido entre si mismo da como resultado 1

Answer:

A. 3

Step-by-step explanation:

[tex]y = 3x - 8 \\ at \: (6, \: 1) \\ \frac{dy}{dx} = 3 \\ at \: (x, \: y) \\ gradient = \frac{y - 1}{x - 6} \\ 3 = \frac{y - 1}{x - 6} \\ y - 1 = 3(x - 6)[/tex]

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:

It would take 16 years and 64 days until the investment reaches about $ 17323

Step-by-step explanation:

Given that an investment of $ 8500 increases in value by 4.5% every year, to determine how long it would take until the investment reaches about $ 17323, the following calculation must be performed:

8,500 x (1 + 0.045 / 1) ^ X = 17,323

8,500 x 1,045 ^ X = 17,323

1,045 ^ X = 17,323 / 8,500

1.045 ^ X = 2.038

1,045 ^ 16,175 = 2,038

X = 16.175

1 = 365

0.175 = X

0.175 x 365 = X

63.875 = X

Therefore, it would take 16 years and 64 days until the investment reaches about $ 17323

Answer: Choice A

A translation 4 units to the left followed by a dilation by 2

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

Explanation:

The following transformations will make the pre-image and image congruent to one another:

If you apply any of those transformations mentioned above, then the image is an identical copy of the pre-image. Nothing about the figure has changed other than it has been shifted, rotated, or reflected in some way. The figure retains its original size and shape. These transformations are called isometries.

A dilation on the other hand does not preserve the size. "Dilation by 2" means the scale factor is 2, so the image will be twice as large compared to the pre-image, in terms of linear dimension. This means there is no way the image is congruent to the pre-image if a dilation has occurred.

Based on all this, choice A is the answer. Choices B, C, and D only involve the three isometries mentioned earlier and no dilation at all, so they can be ruled out.

In ascending order,

36, 43, 50, 51, 58, 59, 60, 69, 73

N=9

median (Q2)= N+1/2

or, Q2= 9+1/2

or, Q2= 10/2

= 5th item

Therefore, the median is 58.

I don't know if this is correct or not.

Answer:

C

Step-by-step explanation:

gghiruufkfhfjttyyyyyy

Answer:

the answer is (y-1) (y-5)

Answer:

The answer is 2.21

Step-by-step explanation:

Answer:

2.21

Step-by-step explanation:

13(.17)

Answer:

By taking the height as x most probably

Step-by-step explanation:

Center:  ( 6 , 8 )

Radius: 5

Answer:

[tex] x^2 +y^2 = 25 [/tex]

Step-by-step explanation:

Center of the required circle = (0, 0)

Center of the given circle = (6, 8)

Radius of the given circle = 5 units

Distance between the centers of both the circles

[tex] =\sqrt{(6-0)^2 +(8-0)^2} [/tex]

[tex] =\sqrt{(6)^2 +(8)^2} [/tex]

[tex] =\sqrt{36 +64} [/tex]

[tex] =\sqrt{100} [/tex]

[tex] =10\: units [/tex]

Since, required circle is tangent to the given circle with radius 5 units.

Therefore,

Radius of required circle = 10 - 5 = 5 units

Now, Equation of required circle can be obtained as:

[tex] (x - 0)^2 +(y - 0)^2 = 5^2 [/tex]

[tex] (x)^2 +(y)^2 = 25 [/tex]

[tex] x^2 +y^2 = 25 [/tex]

Answer:

A

Step-by-step explanation:

The product of  the expression [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]  is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]

An expression is an algebraic term used for a mathematical statement that include variables and mathematical operations

Below is how to calculate the product

The product expression is given as:

[tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]

Express x^2 - 16 as a difference of two squares

[tex]\frac{(x - 4)(x + 4)}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]

Divide the expression

[tex]\frac{x - 4}{2} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]

Factorize the other fraction

[tex]\frac{x - 4}{2} * \frac{x(x^2 - 2x + 1)}{(x -1)(x + 4)}[/tex]

Further factorize

[tex]\frac{x - 4}{2} * \frac{x(x- 1)(x - 1)}{(x -1)(x + 4)}[/tex]

Divide

[tex]\frac{x - 4}{2} * \frac{x(x- 1)}{x + 4}[/tex]

Multiply the fractions

[tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]

Hence, the product of  [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]  is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]

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The Decreased amount of  £2123 by 8% is approximately; £1953.16

We want to decrease £2123 by 8%.

We can do this by the following formula;

Decreased amount = 2123 * (100% - 8%)

Decreased amount = 2123 * 92%

Decreased amount = £1953.16

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Answer:

[tex]V=7.45\times 10^{15}\ mm^3[/tex]

Step-by-step explanation:

The radius of each lollipop is 121212 mm

We need to find the volume of each lollipop. The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Put all the values,

[tex]V=\dfrac{4}{3}\times 3.14\times (121212 )^3\\\\V=7.45\times 10^{15}\ mm^3[/tex]

So, the volume of each lollipop is equal to [tex]7.45\times 10^{15}\ mm^3[/tex].

Answer:

The aswer is buy a rabbit

Step-by-step explanation:

Answer:

1611.372

Step-by-step explanation:

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:

x<-11/2

Step-by-step explanation:

but don't trust me too much bestie

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

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

Answer:

3.1 0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.

3.2 0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent of any other customer. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

40% of all customers walking into their store will buy at least one item on that occasion.

This means that [tex]p = 0.4[/tex]

4 customers:

This means that [tex]n = 4[/tex]

3.1 What is the probability that one or two out of the next four customers will make a purchase?

This is:

[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.4)^{1}.(0.6)^{3} = 0.3456[/tex]

[tex]P(X = 2) = C_{4,2}.(0.4)^{2}.(0.6)^{2} = 0.3456[/tex]

So

[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2) = 0.3456 + 0.3456 = 0.6912[/tex]

0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.

3.2. What is the probability that at least one out of the next four customers do not make a purchase?​

This is:

[tex]P(X \leq 4) = 1 - P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.4)^{4}.(0.6)^{0} = 0.0256[/tex]

[tex]P(X \leq 4) = 1 - P(X = 4) = 1 - 0.0256 = 0.9744[/tex]

0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase