a^2/9=b^2/16 and a^2+b^2=100

Answers

Answer 1

Answer:

a=6 and b=8

Step-by-step explanation:

a^2=(9/16)b^2. Substitute this in the second equation, you get b^2+b^2*(9/16)=100, b^2=100*16/25=8 and a=6


Related Questions

Each coffee pot hold 6 cups of coffee we sell 10 cups of coffee every fifteen minutes how many pots of coffee do I need to make in an hour?

Answers

Answer:

7 pots of coffee (If you want to be precise its 6 2/3)

Step-by-step explanation:

So basically you need 10 cups of coffe in fifteen minutes, so 60/15=4 then time 10. so 40 is how much coffee you need in a hour, but we are solving the pot so 40/6= 6 2/3. but it says how many pots so we round it up so its 7. (Unless you wanna be precise)

1 hour=60 minutes
every 15 min, 10 sold
60/15=4
4(10)=40 sold in 1 hour
1 pots=6 cups
1/x=6/40
x=6.6
pots must be integer
x=7
number of pots of coffee is 7

SOMEONE PLEASE HELP ME OUT ON THIS. PLEASE!
n= 1. then a1= 7+3(1)

How to solve it.

Answers

Answer:

I think this is right for the 2nd problem

Step-by-step explanation:

a1=7+(3)(1)

Step 1: Simplify both sides of the equation.

a1=7+(3)(1)

a=7+3

a=(7+3)(Combine Like Terms)

a=10

a=10

Answer:

a=10

PLEASE ANSWER ASAP

Write an inequality and show on a number line all numbers: greater than (-3) but less than or equal to 3

Answers

Answer:

The inequality is -3<x<3

Step-by-step explanation:

(-3,3)

Find the measure of FG.

Answers

Answer:

8

Step-by-step explanation:

By power of a point, (x-2)(x+13) = (x-3)(x+16). Solving, we find that x=11, so FG= 11-3 = 8

Audrey Baker bought 4 new tires for her
car. The cost of each tire was $75. The
Federal Excise tax was $5.10 per tire, and
the state sales tax was 7% of the cost of the
tires, excluding the excise tax. Find the
total cost of the tires.

Please show work

Answers

Answer:

the cost of the tire=341.4$

Explain how to solve the equation
.
b – 7 = 12

Answers

Answer:

19

Step-by-step explanation:

Add 7 onto 12 to find answer.

Answer:

b = 19

Step-by-step explanation:

b = 12 + 7

Simplify 12+7 to 19.

Add.
(-2+6x3 – 3x_) + (4x3 – 5 + x²)
Express the answer in standard form.
Enter your answer in the box.

Answers

16-3x+4x-2+x^2

14+x+x^2

Write a simplified polynomial expression in standard form to represent the area of the rectangle below:
(See photo)

A. 2x^2 + 3x - 20
B. 2x^2 + 13x - 1
C. 2x^2 + 13x - 20
D. 2x^2 + 3x - 1

Answers

Answer:

A

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = length × breadth

   = (2x - 5)(x + 4) ← expand using FOIL

   = 2x² + 8x - 5x - 20

  = 2x² + 3x - 20 → A

PLEASEEE HELP!!
___ + 42= -18
and
-56+___=-84
i will give brainlist plus 50 points!!!!!

Answers

Answer:

-60 and -28

Step-by-step explanation:

-60 + 42= -18

CHECK:

-42-18=-60

-56+-28=-84

CHECK:

-84+28=-56

Hope this helps <3 Need thanks? Comment /hearthelp

Answer:

-60

-28

Step-by-step explanation:

x +42 = -18

Subtract 42 from each side

x+42-42 = -18-42

x = -60

-56 +y = -84

Add 56 to each side

y = -84+56

y = -28

HELP! TRIGONOMETRY QUESTION!!

Answers

Use the law of cosines, which says

189² = 215² + 123² - 2×215×123 cos(∠P)

==>   cos(∠P) = 25,633/52,890

==>   ∠P ≈ 61.06°


How do you simplify 3 times the square root 13?

Answers

Answer:

3√13

Step-by-step explanation:

3√13

This expression cannot be simplified because you cannot take any common factor outside the root.

Can someone plz help me

Answers

Answer:

37500

Step-by-step explanation:

pattern is multiplying by -5.

-7,500*-5 = 37,500

Have a nice day! :-)

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5

Answers

Answer:

1 : 5

Step-by-step explanation:

3 students zoo

15 students aquarium

zoo : not zoo

3: 15

Divide each side by 3

3/3 : 15/3

1 : 5

when x=1,2,3,.... find limit x->infinity
choice
a. 0
b. 1
c. 2
d. 3
f. 4
help me!!!

Answers

Let y = √x, so the limit can be rewritten as

[tex]\displaystyle \lim_{y\to\infty}\left(\frac{\sqrt{y^6+y^2}}{y^2+3} - \frac{\sqrt{y^4+1}}{y+4}\right)[/tex]

Now,

[tex]\sqrt{y^6+y^2} = \sqrt{y^2\left(y^4+1\right)} = y\sqrt{y^4+1}[/tex]

so we can rewrite the limit further as

[tex]\displaystyle \lim_{y\to\infty}\left(\frac{y}{y^2+3} - \frac1{y+4}\right)\sqrt{y^4+1}[/tex]

Combine the rational terms:

[tex]\dfrac y{y^2+3} - \dfrac1{y+4} = \dfrac{y(y+4)-(y^2+3)}{(y^2+3)(y+4)} = \dfrac{4y-3}{(y^2+3)(y+4)}[/tex]

Then in the limit, we get

[tex]\displaystyle \lim_{y\to\infty}\frac{(4y-3)\sqrt{y^4+1}}{(y^2+3)(y+4)} = \lim_{y\to\infty}\frac{(4y^3-3y^2)\sqrt{1+\dfrac1{y^4}}}{y^3+4y^2+3y+12} \\\\ = \lim_{y\to\infty}\frac{\left(4-\dfrac3y\right)\sqrt{1+\dfrac1{y^4}}}{1+\dfrac4y+\dfrac3{y^2}+\dfrac{12}{y^3}} = \boxed{4}[/tex]

20 The nth term of an arithmetic series is Un where un > 0 for all n.
The sum to n terms of the series is Sn
Given that u4 = 6 and that S11 = (u6)2 + 18
Find the value of u20

Answers

Answer:

Hi,

[tex]u_{20}=30[/tex]

Step-by-step explanation:

[tex]u_n=u_1+(n-1)*r, \ r= commun\ ratio.\\u_4=u_1+3*r=6\\u_6=u_1+5r\\(u_6)^2=u_1^2+10ru_1+25r^2\\s_n=u_1+u_1+r+u_1+2r+...+u_1+10r=11*u_1+55r\\s_{11}=(u_6)^2+18\ \\\Longrightarrow\ u_1^2+10ru_1+25r^2+18=11u_1+55r\\\Longrightarrow\ 4r^2+2r-12=0\\\Longrightarrow\ 2r^2+r-6=0\\r=\dfrac{3}{2} \ or\ r=-2\ (excluded)\\\\u_1=6-3r=\dfrac{3}{2} \\\\\\\boxed{u_{20}=u_1+19*r=30}\\[/tex]

The value of the 20th term of the arithmetic series will be 30

What is arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Un  =  u₁+(n-1) x r

u₄  =  u₁  +(3 x r)=6

u₆ = u₁ +5r

u₆²=u₁²+10ru₁+25r²+18=11u₁+55r

Sn= u₁+u₁+r+u₁+2r+.............u₁+10r= (11 x u₁) +55 r

4r²+2r-12=0

2r²+r-6=0

r=3/2

u₁=6-3r=3/2

u₂₀=u₁+(19 x r)= 30

Hence the value of the 20th term of the arithmetic series will be 30

To know more about arithmetic progression follow

https://brainly.com/question/6561461

#SPJ2

Pls answer if you only know the correct answer! Thanks! :))

Answers

The ratio is (J/W) = 7/6. Or. J= (7/6)• W .

Second line: J= (7/6)• 24. J= 28.

Third line: J= (7/6)• 18. J= 21

Three chains, each 14 feet in length, are
linked end to end. Two longer chains of
equal length are added to make a total
length of 100 feet. What is the length of
one of the longer chains?
A. 29 ft
B. 36 ft
C. 42 ft
D. 58 ft
E. 72 ft

Answers

Answer:

29 feet

Step-by-step explanation:

14 × 3 = 42

100 - 42 = 58

58 ÷ 2 = 29

One of the longer chains is 29 feet long.

Hope this helps.

39 minutes o
You good at school and I’m finna get a y

Can anyone please help?

Answers

Answer:

i don't know

( lol )

heheeeee

1. Find x.
Please help ASAP

Answers

Answer: 2.31

Step-by-step explanation:

17. ralph is 3 times as old as sarah. in 4 years ralph will only be twice as old as sara will be then. find ralph’s age now.

Answers

Answer:

Sara is now 4, will be 8 in 4 years. Ralph is now 12, will be 16 in 4 years.

What is the solution to the system that is created by the equation y = - x + 6

Answers

Answer:

If you draw the graph of y = -x + 6  on the above graph  the solution to system will be the coordinates of the point of intersection.

the equation of the line drawn above is y = 0.5x

so you can also find the solution by solving the system

y = 0.5x

y = -x + 6

0.5x = -x + 6

1.5x = 6

x = 6/1.5 = 4

and y = 0.5*4 = 2

The answer is  (4, 2)     - the third choice.

Step-by-step explanation:

Select all decimals that are equivalent to
(
9
×
100
)
+
(
2
×
10
)
+
(
3
×
1
10
)
+
(
5
×
1
100
)
.
A.
92.35

B.
920.350

C.
902.35

D.
92.350

E.
920.35

F.
920.035 I really need help

Answers

Answer:

B, E

Step-by-step explanation:

( 9 × 100 )  +  ( 2 × 10 )  +  ( 3 × 0.10 )  +  ( 5 ×0.01 )  = 920.35

A.  92.35

B.  920.350

C.  902.35

D.  92.350

E.  920.35

F. 920.035

If each month in a year was paired with all the possible numbers of days in the month will the result be a function? Explain

Answers

Using the function concept, it is found that the result would not be a function, as for each month, there would be multiple possible number of days.

What is the condition for a relation to represent a function?

In a function, one value of the input can be related to only one value of the output.

In this problem, the input is the month and the output is the possible number of days in the month.

Since there is a month with either 28 or 29 days, and the other months have either 30 or 31 days, the are multiple outputs for each input, hence, the result is not a function.

You can learn more about the function concept at https://brainly.com/question/12463448


Find the value of z
A.110
B.141
C.80
D.100

Answers

Answer:

Option A 110degree is the answer

write an equation for a line that is perpendicular to y=1/2x+6

Answers

Answer:

y= -2x+6

Step-by-step explanation:

General formula :

y=mx+c

m is the gradient

when finding when finding the perpendicular line of another line is will be the negative inverse of the gradient

The perpendicular line will have a gradient of -2 (the negative inverse of 1/2)

so

the line perpendicular to the equation y=1/2x+6

is y= -2x+6

A book store is selling 4 books for $10 as parr of its clearance sale.Regina has $28 to spend.At this rate regina can purchase how many books?

Answers

Answer: 8 books (She will also keep with her a balance of $8)

Step-by-step explanation:

Total amount of money = $28

Cost of 4 books = $10

Sets of books able to be bought with the money = 28/10

                                                                                 = 2 (Reminder will be 8)

Amount of books able to be bought with the money = 2 × 4

                                                                                       = 8 books

Regina can purchase 11 books when she has $28 to spend.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

A bookstore is selling 4 books for $10 as part of its clearance sale. Regina has $28 to spend.

Let's represent the number of books Regina can purchase x.

The total price for x books at the clearance rate is 10/4x = $2.5x

Since Regina has 28 dollars to spend, she can purchase :

⇒ x = 28/2.5

Apply the division operation, and we get

⇒ x = 11.2 books.

Therefore, she can purchase 11 books.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ5

PLEASE PLEASE HELP!!
(numbers in drop down menu are the same options for all of the x values)

Answers

Answer:

1) for -1 as x, k(x) would be -8

2) for -3 as x, k(x) would be -18

3) for 0 as x, k(x) would be -3

4) for 1 as x, k(x) would be 2

Alex cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?

Answers

Answer:

61 seconds

Step-by-step explanation:

36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.

Help ASAP
√3 (5 + √2)

Answers

Answer:

5*sqrt(3)+sqrt(6)

Step-by-step explanation:

sqrt(3)*(5+sqrt(2))=5*sqrt(3)+sqrt(6)

Answer:

(5 x sqrt(3)) + sqrt(6)

Brainliest, please! (Almost an Ace!)

Step-by-step explanation:

Distribute the sqrt(3) through and get:

(5 x sqrt(3)) + (sqrt(3) x sqrt(2))

Next, we simplify.

(5 x sqrt(3)) + sqrt(6)

What do you know about the slope when X2 - X1 = 0 ?
A. The slope is undefined.
B. The slope is zero.
C. The slope is positive.
D. The slope is negative.

Answers

Answer:

B

Step-by-step explanation:

The slope is zero is the answer

Other Questions
Which of the following represents the set in words?{x | x 0} all negative integers None of these all positive integers all negative real numbers all positive real numbers Which event is an example of citizens making a successful effort to changepublic policy?A. The Twenty-Fourth Amendment protected African Americans'voting rights in response to a public campaign.B. Scientific discoveries during the 1960s led the government to bancertain pesticides.C. The oil crisis of the 1970s led government agencies to rationgasoline.D. The Civil War determined that the United States would remain onenation. There are 36 tables and 7 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 179 people, what is the capacity of each booth?4 people5 people6 people7 people Abdullah wants to send sessitive data. Abdullah wants to make sure that only ahmed can see and read this. How can abdullah protect this data, so that ahmed can only access it. By using this information make an algorithm. what is the average lifespan of a sperm cell Find the coordinates of the image of Z(3,1) after the translation (x,y)(x2,y7). For each characteristic of mineral extraction, decide whether it applies to strip mining, subsurface mining, or both types of mining.Generates acid drainage Overburden is removed from mining siteUsed to extract coal Used to extract resources that are Near the surface One of the most dangerous Occupations in the United States Safety requires good ventilation systems Used to extract resources that are deep underground Destroys large areas of wildlife habitat how are artifacts used in the beginning of the story Convert the degree measurement to radians. Express answer as multiple of : - 60A. /3B. /4C. /5D. /3 Im so confuseddddd Climate change as well as other human-driven environmental changes continue to cause loss of biodiversity in thecoming decades in addition to high rates of species extinctions. Biodiversity is a term that can be used to describebiological diversity at a variety of different scales, but for now let's consider species diversity. Each rectangle represents aplant community containing individuals of various species indicated by color and the total number of individualscorresponds to the productivity of the ecosystem. Based on trends illustrated by the images, what conclusions apply?Choose ALL that are appropriate.-)))A)While species may fluctuate, biomass remains constant.ScientificCalcB)The green species increases in abundance during warm years,C)The productivity of the ecosystem decreases as the climate changes.D)Invasive species, represented by red, move in and displace nativespecies.HighlightTimemaining3:17:40e ToolsE)Decrease in one species is compensated for by an increase in anotherspecies.24) Escriba e identifique el sujeto y el verbo:Los padres y los nios nadaron todo el da en el lago how can i round 162 to the nearest hundred in a easier way with multiplying What is 0.04% of 30? Round to the nearest hundredth what is the book in spanish amortization for house costs 35,000.00 at 6.5% interest for 10 years and payments of 400.00 were paid for 36 months what is the remaining balance Why does Walt Whitman use the word singing in the title "I Hear America Singing"? i need help!!!! spanish 2 ven conmigo page 144???question 30-34 is there anyone who can help with us government? name any twelve countries where is the nepalease go to work. mention why do they need to go there