Solve the perimeter formula for an isosceles triangle, P = 2a + b for a.


a = P + 2b



a = P – 2b

Answers

Answer 1

Answer:

The solution for a is a =  [tex]\frac{P-b}{2}[/tex]

Step-by-step explanation:

To solve an equation for one of its variables, do that

Separate the term of this variable on one side and the other terms on the other sidesMake the coefficient of the variable equals1 (if it is not 1)

Let us solve the question

∵ The perimeter formula for an isosceles triangle is P = 2a + b

∵ We need to solve it for a

→ By using the first step above, subtract the two sides by b to move it

    from the right side to the left side

∵ P - b = 2a + b - b

P - b = 2a

→ By using the second step above, divide both sides by 2

∵ [tex]\frac{P-b}{2}[/tex] = [tex]\frac{2a}{2}[/tex]

∴  [tex]\frac{P-b}{2}[/tex] = a

→ Switch the two sides

∴ a =  [tex]\frac{P-b}{2}[/tex]

The solution for a is a =  [tex]\frac{P-b}{2}[/tex]


Related Questions

Find the value of the tangent for

Answers

Answer:

choice A

Step-by-step explanation:

Sin A=12/40

sin A=.3

angle A=17.4576 degrees

Tan 17.4576=0.3145

Tan A=0.3145

Choice a, 3x(sr root of 91)/91=0.3145

Answer:

A.

Step-by-step explanation:

3√91/90

PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 40 POINTS .

Answers

Answer:

between one and 6

Step-by-step explanation:

musrbe the answer

Answer:

Just plot one point on (0, 5) and the other one on (6, 8)

Step-by-step explanation:

You just plot (0, 5) then you go 1 up and 8 to the right and plot another point there.

 

Hope it helps!

Which plant is the furthest below the surface
of the water?
A. sea grass
B. green seaweed
C. mangrove
D. red algae

Answers

The answer is B. Green sea weed

Answer: The answer is seagrass

Step-by-step explanation: I did it and got it right

find the value of xin the triangle shown below

Answers

Answer:

[tex]x=80^{\circ}[/tex]

Step-by-step explanation:

Solution 1:

Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to [tex]180^{\circ}[/tex], we set up the following equation:

[tex]x+50+50=180[/tex].

Solving, we get:

[tex]x+100=80,\\x=\fbox{$80^{\circ}$}[/tex].

Solution 2:

The Law of Sines states:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex], for any triangle.

We can use this to set up a proportion with the information given:

[tex]\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}[/tex].

Solving, we get:

[tex]x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}[/tex].

Which number is irrational?
А) (1.5)2
B) root of 41
C root of 49
D (15)2

Answers

Answer:

B

Step-by-step explanation:

A. (1.5)2 = 3 which is rational.

B. Root of 41 cannot be expressed as a fraction of p/q, where p and q are integers and q not equal to 0.

C. Root of 49 = 7 which is rational.

D. 15(2) = 30 which is rational

When the depth of the water is 9604kmm what is the speed of the tidal wave?

Answers

Answer:

906 will make the game faster but not equal

Step-by-step explanation: 89/8 is the eqaul part


Q1. The volumes of two spheres are 640 cm3 and 270 cm3. Find the ratio of
their diameters. Plz help cie igcse math

Answers

Answer:

Formula

V=4/3[tex]\pi[/tex]R³ => R = ∛3V/4[tex]\pi[/tex]

With V1 = 640 cm³ and V2=270 m³

[tex]\pi[/tex] = 22/7

=> You can substitute the numbers above to calculate R1 and R2

Step-by-step explanation:

Have fun

Answer:

[tex]\boxed{\text{\sf \Large 4:3}}[/tex]

Step-by-step explanation:

Volume of sphere=4/3πr³

1. 4/3πr³=640

  r=5.346018

  d=10.692036

2. 4/3πr³=270

   r=4.009514

   d=8.019028

Simplify ratio

10.692036 : 8.0190284:3

Noah already has $10.50, and he earns $3 each time he runs an errand for his neighbor. Noah wants to know how many errands he needs to run to have at least $30

Answers

Answer: 7 errands

Step-by-step explanation:

Noah wants to have at least $30. He however already has $10.50.

The amount that he needs is:

= 30 - 10.50

= $19.30

For every errand he runs, he makes $3. The number of errands needed to get to $30 is:

= 19.50/3

= 6.5

= 7 errands

I am having trouble with is question plz help. What is 2x × x =

Answers

Answer:

X

Step-by-step explanation:

CAUSE

2X=X

DIVIDE BOTH SIDE BY 2 EQUAL ONE AND ONE IS EQUAL TO ( X)

The answer is 2x*x=2x^2

confused with preimeter​

Answers

To find the perimeter of a shape, you need to add up the measurements of all the sides to find it. I hope this helps. Let me know if you need some help with some perimeter problems :)

The length of a rectangle is 3 cm greater than its
width. Its area is 108 cm. Find the dimensions
of the rectangle.

Answers

So the Area = length • width
so first say the width is x so the length is +3 then the width so the length is (x+3)

the formula would be; x•(x+3) = 108
x=9

so the width is; 9 cm
and the length is; 9+3= 12cm

The length is 12 cm and width is 9 cm.

what is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Area = 108 cm²

and, The length of a rectangle is 3 cm greater than its width.

let the width of rectangle be x.

so, length = x+ 3

So, Area of Rectangle = l x w

108 = x(x+ 3)

x² + 3x -108 = 0

x² + 12x - 9x  -108 = 0

x( x+ 12) -9 ( x+ 12)= 0

(x + 12)(x- 9)=0

x= -12, +9

So, length is 12 cm and width is 9 cm.

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I need help fast!! Giving brainiest!! Please explain how you figured it out too!

Answers

Answer: HEYYYY

Step-by-step explanation:

Think you are cheating on a quiz, we are here to help people not to help people cheat on quizzes tho

I need help please :( !

Answers

Answer:

2 Eggs

Step-by-step explanation:

Since it takes her 4 eggs for 2 batches you divide 4 by 2 and get two eggs per batch

1. 2 per batch
2. 8$ per hour

Simply dived it

i need help with this

Answers

Answer: 1/4

Step-by-step explanation: Typing steps

Find the Slope

(−1, −2) , (3, −1)

Slope is equal to the change in y over the change in x, or rise over run.

     change in y

m =  ---------------

    change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called r ise).

     y2 − y1

m =  -----------

     x2 − x1

Substitute in the values of x and y into the equation to find the s lope.

       m = −1 − (−2) /3 − (−1)

Simplify the numerator.

Multiply −1 by −2.

       m =  −1 + 2 /3 − (−1)

Add −1 and 2.

       m =  1/3 − (−1)

Simplify the denominator.

Multiply −1 by −1.

       m = 1/3 + 1  

Add 3 and 1.

        m =  1/4

Sewing patterns recommended buying extra fabric in case of mistakes. Darlene bought 7 yards of fabric, plus 20% extra fabric. Chris bought 4 yards of fabric plus 25% extra. Who bought more fabric. How much more?

Answers

Answer:

Darlene bought more fabric

Darlene bought 3.4 yards more

Step-by-step explanation:

Darlene = 7 yards + 20% extra

= 7 yards + (20% of 7 yards)

= 7 + (20% × 7)

= 7 + (0.2 × 7)

= 7 + 1.4

= 8.4 yards

Chris = 4 yards + 25% of 4 yards

= 4 yards + (25% of 4 yards)

= 4 + (25% × 4)

= 4 + (0.25 × 4)

= 4 + 1

= 5 yards

Darlene bought more fabric

How much more?

Darlene - Chris

= 8.4 yards - 5 yards

= 3.4 yards

Darlene bought 3.4 yards more

In each equation of the form ax + by = c, state a, b, and c.

3x=0
In each equation of the form ax + by = c, state a, b, and c.

3x + 2y = 6

Answers

Answer:

6

Step-by-step explanation:

Answer:

6 is answer

Step-by-step explanation:

Identify the rational exponent expression for V10°.

Answers

Answer:

The square root of 16 is rational.

Step-by-step explanation:

Answer:

Step-by-step explanation:

V10,000 20.5121/3 21. 41/2. 22. 11/3. 23.

Felix joined a local recreation center to play basketball the recreation center try to a $20 annual fee plus an additional $15 per month for usage of basketball courts feel like pre-pays by writing a check for $185 for how many months did Felix pay

Answers

Answer: Felix paid for 11 months.

Step-by-step explanation:

Let x = Number of months

Given: Annual fee = $ 20

charge per month = $15

Total amount = Annual fee + (charge per month) x (number of months)

[tex]\Rightarrow\ 185 = 20+15x\\\\\Rightarrow\ 165=15x\\\\\Rightarrow\ x = \dfrac{165}{15}\\\\\Rightarrow\ x =11[/tex]

Hence, Felix paid for 11 months.

You and your friend collect each rocks and fossils. your friend collects three times as many rocks and half as many fossils as you. you collect 20 objects. your friend collects 20 objects. how many rocks andhow many fossils do you each collect. PLEASE ANSWER FAST! I DONT WANNA FAIL!!

Answers

Answer:

you - 4 rocks and 16 fossilsfriend - 12 rocks and 8 fossils

Step-by-step explanation:

Let the rock be r and the fossil be f

Equations

You: r + f = 20Friend: 3r + 1/2f = 20

Double the second equation and subtract the first one:

2(3r + 1/2f) - (r - f) = 2*20 - 206r - r = 205r = 20r = 4

Then find f:

f = 20 - 4 = 16

So you collect 4 rocks and 16 fossils

Friend collects:

4*3 = 12 rocks and 1/2*16 = 8 fossils

can I get help with this

Answers

Answer:

$3,600

Step-by-step explanation:

To find the total amount we can state that $270 divided by 0.075 can find us the total amount of office receipts.

Doing so, we get: $270 over 0.075 = $3,600

The area of a rectangular pool table is: x2 + 14x +40. What are the dimensions of the table?

Formula: Area = (L) (W)

A(x + 8)(x + 5)
B(x + 20)(x - 2)
C(x + 4)(x + 10)
D(x +14)(x + 40)​

Answers

Answer:

the width is (x + 4) and the length is (x + 10)

Step-by-step explanation:

The area of a rectangle is given by A = L * W, where L is the length and W the width.  

If we factor the given x^2 + 14x + 40, we get (x + 10)(x + 4).  Thus, the width is (x + 4) and the length is (x + 10).

Three roads intersect to form a large triangular area as shown below.
-5 miles
300
What is the length, to the nearest tenth of a mile, of side x of the triangle?
O A. 2.5 miles
O B. 2.9 miles
O C. 4.0 miles
O D. 4.3 miles

Answers

Answer:

b i think

Step-by-step explanation:

I think your correct answer is B

can i have some help pls
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many more girls than boys are there?

Answers

Answer:

3x+5x=40

=8x=40

=x=5

then no.of boys= 3×5 = 15

and no. of girls= 5×5=25

girls more than boys= 25-15=10

mark me brainliest

pls it takes too much time to solve this

Answer:

There will be 10 more girls than boys in the class.

Step-by-step explanation:

5x+3x=40

8x = 40

8x/8 = 40/8

x = 5

5*2 = 10

NEED NOW PLZ 30 POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!


What is the area of the trapezoid?



1440 square yards


1512 square yards


1560 square yards


1680 square yards

Answers

Step-by-step explanation:

A=

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

So :

[tex]area \: = \frac{36 + 42}{2} \times 40 \\ \frac{78}{2} \times 40 = 39 \times 40 = 1560[/tex]

HELP PLEASE!! Type the correct answer in each box. The graph shown is not a function because points (-1, 2)

Answers

Answer:

(-1,0)

Step-by-step explanation:

Look to see which points have the same x value (in this case -1)

Maria is bringing her sick dog, Pedro in for a series of appointments at the veterinary clinic. Her total cost over the course of treatment will be $150 for tests and medicine plus $30 per appointment "a". A) Write an equation to show the total cost, "t" she will owe. *

Answers

Answer:

t = 150 + 30a

Step-by-step explanation:

Treatment of Pedro costs = Expenditure for tests and medicines + fees given for appointments.

If number of appointments = a

Cost per appointment = $30

Cost of 'a' appointments = $30a

Therefore, equation representing the total cost 't' of the treatment will be,

t = 150 + 30a

2. The temperature during the night dropped 2 degrees every hour. How many degrees did the temperature drop altogether after 3 1/4 hours? Be sure to show your work!

Answers

if it dropped 2° every hour then after 3 hours it would drop (2*3=6) 6°

1/4 of 2 is 0.5 this will be added to the 3 hours to get the answer for 31/4 hours

6 + 0.5 = 6.5°

Answer:

c

Step-by-step explanation:

when an equation is in standard form you can easily find the x-intercept and y-intercept simply by substituting in ____ for each variable

Answers

Answer:

by substituting 0

Step-by-step explanation:

Similarly, any y-intercept will have an x coordinate of 0. Using the standard form of an equation we can easily find the intercepts. To find the x-intercept, we set y=0 and solve for x. To find the y-intercept, we set x=0 and solve for y.

We can complete the given statement as:

When an equation is in the standard form you can easily find the x-intercept and y-intercept simply by substituting 0 for each variable.

What are intercepts?

Intercepts are the point of intersection, between the graph of an equation and an axis of the coordinate plane.

We have two intercepts:

x-intercept: The point at which the equation intersects the x-axis. This point is taken as (a,0), as any point on the x-axis has a y-coordinate = 0.y-intercept: The point at which the equation intersects the y-axis. This point is taken as (0, b), as any point on the y-axis has an x-coordinate = 0.

How to solve the question?

In the question, we are asked: when an equation is in the standard form you can easily find the x-intercept and y-intercept simply by substituting in ____ for each variable.

We know that the x-intercept has a y-coordinate = 0. Thus, when we substitute the value of y = 0, in the equation, we get the x-intercept 'a', as the point (a, 0) satisfies the equation.

We know that the y-intercept has an x-coordinate = 0. Thus, when we substitute the value of x = 0, in the equation, we get the y-intercept 'b', as the point (0, b) satisfies the equation.

Thus, we can complete the given statement as:

When an equation is in the standard form you can easily find the x-intercept and y-intercept simply by substituting 0 for each variable.

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A score of 17 on a math test results in a mark of 68%. What score would give you a mark of 100%?

(MUST SHOW WORK)

Answers

Answer:

17/25

Step-by-step explanation:

The required total score for 100% mark is given as 25.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Let the x be the be score for 100% marks.
68% of x = 17
x = 17 / 68%
x = 25

Thus, the required total score for 100% mark is given as 25.

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Plz help !!!!!!!!!!!!!!!!!!

Answers

Answer:

i am sorry i do not understand ill try to look harder ill keep u updated

Step-by-step explanation:

The answer is D.
Cars cost 3 dollars you have to multiply 3 times 50
75 were the totals of cars AND trucks since cars are cheaper it has to be the bigger number and the biggest number is 50 and the rest it’s 25 so it had to be 3 x 50 = 150 5 x 25 It’s 125. The total amount they made was $275 and 150 plus 125 equals 275
Hope this helps
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