In ΔEFG, the measure of ∠G=90°, the measure of ∠E=6°, and GE = 71 feet. Find the length of EF to the nearest tenth of a foot.

Answer:

54.

Step-by-step explanation:

( 8 + √ 10 ) ( 8 − √10)

= 8*8  - 8√10 + 8√10  +√10 *  -√10

= 64 -  8√10 + 8√10 - 10

The 2 middle turns cancel out so we have:

64 - 10

= 54.

Answers

Step-by-step explanation:

Answer: nate

Step-by-step explanation:

nate because 7.905  is higher than all of them

Answer:

2(x + y)

Step-by-step explanation:

You can pull out a 2 from the expression.

So divide 2x by 2 and 2y by 2.

2x/2 = x

2y/2 = y

2(x + y)

Answer:

^2 + 2x-15

Hope this helps

Answer:

577.6875

Step-by-step explanation:

(6 / (2^5)) * ((9×4) - (5^5) + 8) = 577.6875

Answer:

Step-by-step explanation:

Where's the line?

Answer:

(-3,-17)

Step-by-step explanation:

Answer:

I've answered this for you in your previous question. Hope it helped

Answer:

[tex]\huge\boxed{\sf Solution\ Set = \{x,y\} = \{1,2\}}[/tex]

Step-by-step explanation:

3x + 4y = 11 ----------------------(1)

x = 15 - 7y   ----------------------(2)

Put Eq. (2) in (1)

3(15 - 7y) + 4y = 11

45 - 21y + 4y = 11

45 - 17y = 11

Subtracting 45 to bot sides

-17y = 11 - 45

-17y = -34

Dividing both sides by -17

y = -34 / -17

y = 2

[tex]\rule[225]{225}{2}[/tex]

Put y = 2 in Eq. (2)

x = 15 - 7(2)

x = 15 - 14

x = 1

[tex]\rule[225]{225}{2}[/tex]

Solution Set = {x,y} = {1,2}

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Let n and n+4 be the numbers. Then:

n² + 3(n+4)=66

n²+3n-54=0

(n+9)(n-6)=0

n=6 or -9

n+4=10

Assuming positive integers only, the numbers are 6 and 10…..

Step-by-step explanation:

100% right

Natural number are those number that is used for the purpose of counting and ordering. The two natural numbers are 4 and 6.

Natural number are those number that is used for the purpose of counting and ordering. It is denoted by 'N'.

Let the first number(bigger number) be 'a', and the smaller number be b.

As it is given that the first number is 4 more than the second number. Therefore, the equation can be written as,

a = b + 4

Now, it is given that the product of the two numbers is three times the square of the smaller number. Since, when we add four to b we get a, therefore, b is the smaller number. Therefore, the equation can be written as,

[tex]ab = 3(b^2)\\[/tex]

As the value of a = b+4, substitute the value of a,

[tex](b+4)b = 3(b^2)\\\\(b+4) = \dfrac{3b^2}{b}\\\\b+4 = 3b\\\\4=3b-b\\\\4=2b\\\\b = 2[/tex]

Thus, the value of b is 2.

In order to get 'a' add 4 to the value of b, therefore, the value of a is,

[tex]a = b+4\\\\a = 2+4 \\\\a=6[/tex]

Hence, the two natural numbers are 4 and 6.

Learn more about Natural numbers:

https://brainly.com/question/17429689

Step-by-step explanation:

2x<9+5

2x<14

2x/2<14/2

x<7

Answer:

[tex]\boxed {\boxed {\sf x <7}}[/tex]

Step-by-step explanation:

To solve the inequality you must isolate the variable, which is x.

[tex]2x-5 < 9[/tex]

5 is being subtracted from 2x. The inverse of subtraction is addition, so add 5 to both sides of the equation.

[tex]2x-5+5 < 9+5[/tex]

[tex]2x < 14[/tex]

x is being multiplied by 2. The inverse of multiplication is division, so divide both sides by 2.

[tex]\frac {2x}{2} < \frac {14}{2}[/tex]

[tex]x <7[/tex]

The solution to this inequality is x <7

Answer: x=5

x= 2

Step-by-step explanation:

Answer:

Looks like all of your questions have been answered.

Answer:

2. Dependent events

Step-by-step explanation:

9514 1404 393

Answer:

  (-2)

Step-by-step explanation:

Put the point values in the given equation to see what the missing number is.

  y = 1/2x + (_)

  2 = 1/2(8) + (_) . . . . . substitute the given values

  2 = 4 + (_) . . . . . . . .  simplify

  -2 = (_) . . . . . . . . . . . subtract 4

The green ? should be filled with -2.

Answer:

ŷ = -0.07637X + 61.36874

Step-by-step explanation:

Score, x :

545

595

640

675

705

750

Interest %, y:

18.982

17.967

12.218

8.612

6.680

5.150

Using the ordinary least square regression calculator :

The equation of best fit obtained is :

ŷ = -0.07637X + 61.36874

Slope = - 0.07637 (depicts a negative relationship between the variables).

Intercept = 61.36874

Score, X = explanatory variable ; Interest rate, Y = response variable

Answer:

f(x)=48 (4)x-1 это просто

Answer:

It is in Fact B.

Step-by-step explanation:

I Took this on Edge and it is right, if you have this question, then it is B.

Answer:

2.478x10^7

Step-by-step explanation:

They give you each radius, so you just add them together.

15,300,000+9,480,000=24,780,000 = 2.478x10^7

(or)

1.53x10^7+0.948x10^7= 2.478x10^7

Answer:

Step-by-step explanation:

Answer:

so for the first one the cost for all the tickets is 412

for the last one the cost is 333

Step-by-step explanation:

Answer:

Oh easy here is the answer m=21

Answer:

76

Step-by-step explanation:

Answer:

a)

If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.

b)

P(AA) = 0.5(0.5) = 1/4  CHANCE

P(Aa) = 0.5(0.5) = 1/4  CHANCE

P(aa) = 0.5(0.5) = 1/4   CHANCE

c)

the new probabilities are:

P(AA | not aa) = 1/3  

P(Aa | not aa) = 2/3

Step-by-step explanation:

   Given the data in the question;

a) Beth’s parents are not albino, but she has an albino brother. This implies that both of Beth’s parts have type Aa. Why?

If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.

To be fully albino you must be aa and must also have at least one a as well as have a child with someone who also has has at least a.

b) Which of the type aa, Aa, AA could a child of Beth’s parents have? What is the probability of each type?

                             A                 a

A                         AA                Aa

a                         aA                 aa

so, Since each type is equally likely, and each is inherited independently of each other then,

P(AA) = 0.5(0.5) = 1/4  CHANCE

P(Aa) = 0.5(0.5) = 1/4  CHANCE

P(aa) = 0.5(0.5) = 1/4   CHANCE

c) Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact?

First we rule out aa, since Beth is not an Albino.

the new probabilities are:

P(AA | not aa) = 1/3  

P(Aa | not aa) = 2/3

Answer:

x= -8

Step-by-step explanation:

Move the terms

Calculate: -x=12-4 = -x=8

Change the signs