A scale factor of 3.5 maps Figure A onto Figure B. There is two triangles, Figure A is 5, Figure B is x. Whats the value of X?

Answer:

(a)0.7

(b)0.42

Step-by-step explanation:

Definition: Mutually exclusive events are events that occur independently of one another.

The table below gives the distribution of the patrons in the restaurant.

[tex]\left|\begin{array}{c|c|c|c}&$Male&$Female&$Total\\---&---&---&---\\$Under 10 years old&6&5&11\\10-55&13&22&35\\$Over 55 years old&5&9&14\\---&---&---&---\\$Total&24&36&60\end{array}\right|[/tex]

(a)P(Female or under 10)

These are not mutually exclusive events, therefore:

[tex]P$(Female or under 10)=P(Female)+P(Under 10)-P(Female and Under 10)\\=\dfrac{36}{60}+ \dfrac{11}{60}-\dfrac{5}{60}\\=\dfrac{42}{60}\\\\=0.7[/tex]

(b) P(Under 10 or over 55)

These are mutually exclusive events, therefore:

[tex]P$(Under 10 or over 55)=P(Under 10)+P(Over 55)\\=\dfrac{11}{60}+ \dfrac{14}{60}\\=\dfrac{25}{60}\\\\=0.42[/tex]

Answer:

c) 1

Step-by-step explanation:

=> ax+y = 5

Putting x =2, y =3

=> a(2)+3 = 5

=> 2a = 5-3

=> 2a = 2

Dividing both sides by 2

=> a = 1

Answer:

so a=1

Step-by-step explanation:

ax+y=5

put x=2 and y=3

2a+3=5

2a=5-3

2a=2

a=2/2

a=1

i hope it will help you

Answer:

y = 6x + 2

Step-by-step explanation:

Step 1: Write known variables

y = 6x + b

Step 2: Solve for b

20 = 6(3) + b

20 = 18 + b

b = 2

Step 3: Rewrite

y = 6x + 2

Answer:

Dear user,

Answer to your query is provided below

The building is 60.77 ft tall.

Step-by-step explanation:

Explanation is provided below in the image attached

Answer:

3 acute angles.

Step-by-step explanation:

Triangles have three angles. If any one angle is obtuse or right-angle, then the remaining two angles must be acute. Or else, all the 3 angles can be acute.

An example can be an equilateral triangle because it has 3 acute angles. Each angle is 60 degrees.

Answer:

C. 4 times x squared plus 6 times x minus 3 minus 12 over the quantity 2 times x plus 1

Step-by-step explanation:

f(x) = 8x^3 + 16x^2 − 15

g(x) = 2x + 1.

f(x) / g(x) = (8x^3 + 16x^2 − 15) / (2x + 1)

Using long division

Answer:

4 times x squared plus 6 times x minus 3 minus 12 over the quantity 2 times x plus 1

Step-by-step explanation:

i did the test

Answer:

[tex] = ( - \frac{2}{3} \times \frac{3}{4}) \times ( - 1) [/tex]

[tex] = \frac{( - 2) \times ( - 1)}{4} [/tex]

[tex] = \frac{ + 2}{4} [/tex]

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

Here's your answer girlfriend

Please follow me

Answer:

10cm

Step-by-step explanation:

First let's define variables a and x:

a = area of rectangle and square

x = side of square

Now let's create an equation to calculate a using the square and an equation to calculate a using the rectangle:

Using square: [tex]x^{2} =a[/tex]

Using rectangle: [tex](5+2x)(x-6)=a[/tex]

Now we want to solve for x so let's combine the equations since they are both equivalent to a

[tex](5+2x)(x-6)=x^{2}[/tex]

Simplify

[tex]x^{2}-7x-30 = 0[/tex]

Solving this we get 10 and -3

Since it is impossible for a square to have a negative side value we can conclude that the value is 10cm

This can then be checked by plugging in 10 as x in our equations and seeing if we get the same a value:

Using square: [tex]10^{2} = 100[/tex]

Using rectangle: [tex](5+2(10))(10-6) = (25)(4) = 100[/tex]

Answer:

Step-by-step explanation:

We have the equation, -4×3 1/4.

We can use the distributive property to find an equation with the same value.

-4×3 1/4 = (-4)(3)+(-4)(1/4)

Hope this helps!

Answer:

B) (-4)(3) + (-4)(1/4)

Answer:

E. 3i√3

Step-by-step explanation:

√-27 is √27 times √-1

√-1 is i, so i√27

√27 = 3√3, and then we have:

3i√3 as our answer

Answer:

2

Step-by-step explanation:

5/2= 2.5 ((or 2 1/2) (or 250%) any you prefer) But you can't get half a person to come in the amusement park so we round it down (2.5 → 2)

So the answer is 2

The different pairs of 2 friends can she choose from 5 is 20.

A permutation is an ordered arrangement of outcomes and an ordered combination.

We have already seen the basic permutations formula in the previous section. Here are different permutations formulas that are used in different scenarios.

For example, there are 5 chairs and 3 persons are to be seated. We have 5 ways to seat the first person; 4 ways to seat the next person and 3 ways to seat the third person. Thus, to find the number of ways for arranging 3 persons in 5 chairs, we multiply the options available to us. We do it in 5 × 4 × 3 ways. i.e., it can be done in 60 ways. Observe that 5 × 4 × 3 can be written as

(5!) / (2!) (or) (5!) / (5 - 3)!.

Generalizing this, we get n options to fill the first chair, n-1 options to fill the second and n-2 options to fill the third chair. Thus, the total number of permutations (arrangements) of r people in n chairs can be expressed as: nPr = n! / (n - r)!.

Given:

n= 5, r=2

Using Permutation,

[tex]^{n}P_r[/tex] = n!/ ( n-r)!

= 5!/ 3!

=5*4*3!/ 3!

=5*4

=20

Hence, in 20 different ways pairs of 2 friends can she choose from the 5.

Learn more about permutation here:

https://brainly.com/question/1216161

#SPJ2

Answer:

1st Graph

Step-by-step explanation:

Easiest and quickest way is to graph the function in a graphing calc and then choosing the best answer.

Answer: 1 triangle

Step-by-step explanation:

From the question, we are told that Bablu has three sticks of lengths 3, 4 and 5 cm and Ramesh has three sticks of lengths 3, 5 and 9 cm. To make a triangle, the addition of the square I the two smallest lengths must be equal to the square of the length of the largest stick. This will be:

Bablu has three sticks of lengths 3, 4 and 5 cm. This will be

3² + 4² = 5²

9 + 16 = 25

Since this is equal, Bablu sticks can make a triangle.

Ramesh has three sticks of lengths 3, 5 and 9 cm. This will be:

3² + 5² = 9²

9 + 25 = 34

Since the answer is 34 and not 9² which is 81, it means that Ramesh can not make a triangle. Therefore, only 1 triangle can be made.

Answer: f(x) = 5(1/5)^x

Step-by-step explanation:

Answer:

163 times

Step-by-step explanation:

Let us first find how many minutes she was on the International Space Station:

1 hour = 60 minutes

114.1 hours = 114.1 * 60 = 6846 minutes

The station orbits earth every 42 minutes. Therefore, the number of times the station will orbit the earth during her stay is:

6846 / 42 = 163 times

Answer:

28.8 degrees bearing above from the east.

Step-by-step explanation:

Given :

Direction =30 degrees

Speed =724 km/hr

Suppose x1, y1 be the velocity bearing in the east at the 30 degree

so x1 velocity = 724 cos 30 degree

y1 velocity = 724 sin 30  degree

As mention in the question the wind speed adding another 32 to the x1 speed.

Hence the resultant speed  is

[tex]velx1= 659\\vely1 = 362[/tex]

[tex]The \ speed\ is\ determined \ by \ following\ formula\ \\ \sqrt{vel y1^2+ velx1^2} \\= \sqrt{659^2+362^2}\\=751.9 km/hr\\therefore\ \ the\ direction is\ arctan \\= vely1/ velx1 \\= arctan( 362/659) \ =28.8\ degrees\ above\ from\ the\ east[/tex]

Answer:

28.8

Step-by-step explanation:

Answer:

-3n+11 or 3n+11 or 3n-11 one of those

Step-by-step explanation:

Answer:

The answer is -3n+12

Step-by-step explanation:

It is because you do 9+3 and it is positive so it will be positive 12 (+12).

We got -3n from taking away -3 all the way.

I hope you got help

Answer:it depends

Step-by-step explanation:

1) sum is addition

2)

Answer:

y = |x - 4|

Step-by-step explanation:

Because the x value is the only variable that changed, it means the graph has moved only horizontally. The only value you are adding to will be inside the absolute value, not outside (as that is vertical transformation)

If that is the case, the graph has only moved right from (1, 1) to (4, 1), and thus from the parent graph y = |x| you would derive y = |x - 4|.

Step-by-step explanation:

D=Y/Y IS AN INTEGER AND -2

Answer:

{-2}

Step-by-step explanation:

The element in the set will be:

D = {-2}

The given form of the set is a set-builder notation form.

=> Here, It's written that y is an integer and is exactly -2 and nothing else at all.

So, the set becomes:

=> D = {-2}

Answer:

Step-by-step explanation:

If half a number is 120, then the number before it was cut in half is 240. What we need to find now is 14% of 240.

"14% of 240 is what" in an algebraic equation looks like this:

.14(240) = x and

x = 33.6

Answer:

33.6

Step-by-step explanation:

Let the number be x.

50% × x = 120

0.5x = 120

x = 120/0.5

x = 240

The number is 240.

14% × 240

0.14 × 240

= 33.6

Answer:

23

Step-by-step explanation:

hope this helps

Step-by-step explanation:

Center = (-1/2 Coefficient of x, -1/2 Coefficient of y)

or, Center = {-1/2*(-18), -1/2*(-14)}

or, Center = (18/2, -14/2)

Ans: (9, 7)

Answer: 625g ,626g ,627 g

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The weight of the cereal (x) plus the weight of the box (5) must be higher than 629 and less than 633.

Mathematically speaking:

629<5+x<633

Solving for x:

629 <5+x

629-5 <x

624<x

5+x<633

x<633-5

x<628

624<x<628

So, the weight of the cereal only must be higher than 624g and less than 628g.

The possible weights are  

625g ,626g ,627 g

Feel free to ask for more if needed or if you did not understand something.  

Answer:

C

Step-by-step explanation:

Answer: it is C because it is true of the type of angle in this lesson? a. It measures half the sum of the arcs it intercepts. b. It measures twice the difference of the arcs it intercepts. c. It measures half the difference of the arcs it intercepts. d. It measures twice the sum of the arcs it intercepts.

Answer:

(B)Isosceles Triangle.

Step-by-step explanation:

Theorem: Tangents to a circle from the same point are equal.

In Circle O, Tangent lines XY and ZY are tangents to circle O from point Y.

Therefore by the circle theorem stated above: XY=ZY

We then have that two sides of Triangle XYZ are equal.

The triangle XYZ is an Isosceles Triangle.

The correct option is B

Answer:

The answer is B on Edge 2020

Step-by-step explanation:

I did the test

Answer:

First we distribute 11 which gives us 88 + 77x. 88 + 77x + 21 = 77x + 109.

Answer:

Brainliest!!!

hint: if you need your answer to be answered asap put more points

edit: nvm you put a decent account

Step-by-step explanation:

11(8+7x)+21

88+77x+21

77x+109

Answer:

The value of G is not similar to the value of H

Step-by-step explanation:

As we can see that the sum of all frequencies equal to 1

In the given figure, if we add these frequencies so it would appear as follows

Like

A + D + G = 1

B + E + H = 1

And it is mentioned that D is much less than E, so we assume that pants are most wear cloth than shorts for both the genders i.e female and male that results in G is more than H.

Hence, the third option is correct

Option C: The value of G is not similar to the value of H.

The given conditional relative frequency table looks like:

[tex]\begin{center}\begin{tabular}{ c c c c } - & Male & Female & Total \\ \\Shorts & A & B & C\\ Skirts& D & E & F\\ Pants & G & H & J\\ Total & 1.0 & 1.0 & 1.0\end{tabular}\end{center}[/tex]

The total frequency adds up to 1 for both columns of Male and Female.

A + D + G = 1

B + E + H = 1

Since it is given that D is much smaller than the value of E, and assuming that shorts are less likely to be worn by either of the genders male or female, we reach to the conclusion that value of G must be higher than the value of H.

Thus, Option C: The value of G is not similar to the value of H is correct.

Learn more here:

https://brainly.com/question/1809498

Answer: 2.7

Step-by-step explanation:

Answer:

4382 to 1 sf is [tex]4 * 10^3[/tex]

Since powers are not counted in significant figures so this is the answer.

Hope it helps you :D

Answer:

120 sweets

Step-by-step explanation:

Bri:Jim:Kru

4: 3: 1

find the difference in the ratio of Bridget and Krutika

4-1=3

ratio 3 is equivalent to 45 sweets

total ratio(4+3+1)--------> ?

total no. of sweets= 8x45

3

=120sweets