The number a is less than the number b by 1/5 of b. By what part of a is b greater than a?

we know that sin(θ) is 4/5, and we also know that θ is in the I Quadrant, where sine and cosine are both positive, so

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2-4^2}=a\implies \pm 3=a\implies \stackrel{I~Quadrant}{+3=a}~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}[/tex]

[tex]\frac{KJ}{JG} = \frac{PF}{FH}[/tex]

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Explanation:

Refer to the drawing below. I started off with the original diagram given, then I split up the triangles HPF (red)  and GKJ (blue)

We're given that [tex]\angle GJK \cong \angle HFP[/tex]. If we had another congruent pair of angles, then we could use the AA (angle angle) similarity theorem to prove the triangles are similar. However, none of the answer choices mention another pair of congruent angles. Choices A and B are very close, but the [tex]\sim[/tex] should be [tex]\cong[/tex] instead. So we rule them out.

Focus on triangle GJK. Notice how the sides KJ and JG are surrounding the angle GJK. In other words, angle GJK is sandwiched between sides KJ and JG. Similarly, angle HFP is sandwiched between sides PF and FH in triangle HFP.

If we knew that the ratios KJ/JG and PF/FH were the same, then that would be enough info to use the SAS (side angle side) similarity theorem to prove the triangles similar. So that's why we go for [tex]\frac{KJ}{JG} = \frac{PF}{FH}[/tex]

There are other possible ways to write that equation.

Answer:

Line y = -x + 2 intersects line y = 3x + 1

Step-by-step explanation:

The solution to a system of equations is the point at which the two lines intersect.  To find this point, first equate the equations and solve for x:

[tex]\begin{aligned}y & = y\\-x + 2 & = 3x + 1\\-x+2+x & = 3x+1+x\\2 & = 4x + 1\\2-1 & =4x+1-1\\1 &=4x\\x & =\dfrac14\end{aligned}[/tex]

Substitute the found value of x into one of the equations, and solve for y:

[tex]y=3\left(\dfrac14\right)+1=\dfrac74[/tex]

Therefore, the solution to the system of equations (the point at which the two lines intersect) is:

[tex]\left(\dfrac14,\dfrac74\right)[/tex]

So the description that best describes the solution to the system of equations is:

Line y = -x + 2 intersects line y = 3x + 1

only two day are left as u can see the graph from 40 percent to to percent

Inga needs 3 more years to pay off the whole amount.

A portion of the monthly payment is called the principal, which is the original amount borrowed.

First year balance = $19,691.28

Monthly payment = $273.49

Annual payment = 273.49×12 = $3281.88

Remaining balance after 1 year = 19,691.28 - 3281.88 = $16,409,4

After 3 years balance = $9845.64

Hence, Inga needs 3 more years to pay off the whole amount.

To know more about monthly payments click the link given below.

https://brainly.com/question/26353929

Answer:

3 years

Step-by-step explanation:

I did the test.

E-DG-E

Answer:

Step-by-step explanation:

Ratio of side of the 30-60-90 triangle is x : x√3 : 2x

Side opposite to 30° is the shortest leg and it is a

Side opposite to 60° is the longest leg and it is a√3

side opposite to 90° is hypotenuse and it is 2a and it the longest side.

7) a = 8 (Which is opposite to 30°)

 w = 2a = 2*8

w = 16

v = √3a = √3 *8

v = 8√3

8) a√3 = 5√3   (Which opposite to 60°)

   a = 5√3 ÷√3

y = a ⇒y= 5

x = 2a

  = 2*5

x = 10

9) hypotenuse = 10

2a = 10

a = 10 ÷ 2

a = 5

x = a√3

x = 5√3

y = a

y = 5

Answer: 4

Step-by-step explanation:

Terms: Increased means adding, a product means multiplication.

1. Convert it into an equation: 6+4x=22

2. Then subtract 6 from the left side and pass it to the right to get 22-6= 16. Now, you have 4x=16.

3. Then you want to leave the x alone, so you divide both sides of the equation by 4.

4. Therefore, your answer is 4!

Hope this helps :)

Answer:

∠A = 94°

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180°.

Therefore, if ∠A and ∠B are supplementary:

⇒ ∠A + ∠B = 180

⇒ (2x + 10) + (2x + 2) = 180

⇒ 4x + 12 = 180

⇒ 4x = 168

⇒ x = 42

To find ∠A, substitute found value of x into the expression for ∠A:

⇒ ∠A = 2(42) + 10 = 94°

Answer:

The sum of 4 and a number

4+x

Divided by 2 is less than -6

4+x/2<-6

☆anvipatel77☆

•Expert•

Brainly Community Contributor

Answer:

c is the answer  try C

Step-by-step explanation:

Answer:

x^2 + x + 30

Step-by-step explanation:

I am assuming the second one is (x + 6).

Answer: x^2 + x - 30.

Step-by-step explanation: i took the test and put the answer the person above me gave and it was incorrect.

went at 3:45 PM

left at 7:45 PM

the duration she was at the library.

( to find the duration just find the difference of the time she left and she went.

= 4 hours

so, she was at the library for 4 hours.

Answer:

The son is 13 and the father is 39,

Step-by-step explanation:

x= dad's age

y= 1/3x= boy's age

x+y=52

Substitute y=1/3x

x+1/3x=52

1 1/3x= 52

4/3x= 52

Multiply by reciprocal on both sides

(3/4)(4/3x)= (52)3/4)

x= (52*3)/4

x= 156/4

x=39 dad's age

Substitute x answer in to find boy's

y= 1/3x= 1/3(39)= (1*39)/3= 39/3= 13 boy's age

Check:

13+39= 52

Answer:h(13) = 18

Step-by-step explanation:

Answer:

You're going to need more to this question

Step-by-step explanation:

what is the rest of it

Answer:4

Step-by-step explanation:

and ritz crackers are pretty good

Answer:

A.

Step-by-step explanation:

Hope this helps.

pls give me brainiliest

Answer:

The answer is x=2, -2

Step-by-step explanation:

The explanation is in the pic.

Answer:

[tex]X^2=2[/tex]

The tiny two means square, meaning multiply the number behind it by itself.

First, start with exponents, in this case, squares.

[tex]2*2=4[/tex]

Second, yet last, multiply eight by four.

[tex]8*4=32[/tex]

With that information, your answer is [tex]2[/tex]

Answer:

2

Step-by-step explanation:294/7=42

Answer:

18

Step-by-step explanation:

x =27-9

=18

Answer: B. The ball is less likely to be a racquetball than a golf ball.

Step-by-step explanation:

Imagine a bin. You are storing different sports balls in the bin. You put 20 baseballs, 24 golf balls, 9 tennis balls, and 6 racquetballs in the bin. Can you name which ball is most likely to be chosen if you grabbed one out at random? The answer is the golf ball.

This is because there are more golf balls than any other type of ball. For example, there are 24 golf balls, yet there are only 20 baseballs. This means that you are more likely to pick a golf ball.

Remember that there are 6 racquetballs while there are 24 golf balls. There are 4 times more golf balls than racquetballs in the bin. This means that you are 4 times more likely to pick a golf ball than a racquetball when you take a ball out of the bin at random.

Since there are many more golf balls than racquetballs, you are more likely to grab a golf ball than a racquetball. This means that the ball is less likely to be a racquetball than a golf ball.

(If you are confused, imagine freshly baked cookies. You cooked 12 cookies.

8 cookies are chocolate chip

3 cookies are oatmeal raisin

1 cookie is peanut butter.

If you grab a cookie at random, with your eyes closed, you are most likely to pick the chocolate chip cookies. This is because there are more chocolate chip cookies than oatmeal raisin cookies or peanut butter cookies)

Answer: 62480

Step-by-step explanation

you write down 67000 than subtract 4520 ,scrach the seven and make it a six and ad that 1 to the first zero scranche that out and make it nine add it to the next zero now ,0-0=0 , 10-2=8 ,9-5=4,4-6=2, move the 6 down you now have 62480 mph

Answer: B

Step-by-step explanation:

A=a2

P=4a

Solving forA

A=1

16P2=1

16·722=  324in²

Answer:

True

Step-by-step explanation:

Trust

Answer:

0; 60; 360°.

Step-by-step explanation:

1) to solve the given equation without limitation;

2) to apply the given limitation to the solution of the given equation.

all the details are provided in the attachment. The answer is marked with red colour.

Note, the provided way is not the shortest one.

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Measure of its each edge = [tex]\sf\red{8feet.}[/tex]

[tex]\rightarrow[/tex] Height of each lateral surface (or slant height) = [tex]\sf\red{15feet.}[/tex]

[tex]\sf\large\underline{\star To\: Find:-}[/tex]

[tex]\sf\large\underline{\star Formula \:Used:-}[/tex]

[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf\blue{a^2+2al}[/tex]

Where,

[tex]\sf\pink{a^2}[/tex] [tex]\sf{=\: Area \: of\: base.}[/tex]

[tex]\sf\pink{a}[/tex][tex]\sf{=\: Side \:of \:the\: base.}[/tex]

[tex]\sf\pink{l}[/tex][tex]\sf{=\: Slant \:height}[/tex]

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf{a^2+2al}[/tex](putting the value of [tex]\sf{a^2}[/tex], a and l)

[tex]\rightarrow[/tex] [tex]\sf{=\: 8^2+2(8×15)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 304feet^2}[/tex]

Therefore, surface area of the given square pyramid [tex]\sf\purple{=\: 304feet^2.}[/tex]

___________________________________

Hope it helps you:)

Answer:

In the year 2026 population of both the states will be the same.

Step-by-step explanation:

It has been given in the question that the population y of State A in year x will be represented by the equation

-3x + y = 11,400

⇒ y = 11,400 + 3x --------(1)

Similarly, an equation that represents the population for State B is

-138x + y = 8,000

⇒ y = 138x + 8,000 -------(2)

If population y for both the states are equal then

3x + 11,400 = 138x + 8,000

11400 - 8000 = 138x - 3x

135x = 3400

x = 25.19 [After 25 years ]

Since  x = 0 represents the population of the states in the year 2000

therefore, population y will be the same in both the states in the year (2000 + 26)

= 2026