The base of an isosceles triangle is half
as long as each of the two equal sides.
Write the area of the triangle, A(x), as a
function of the length of the base, x.
A(x) =

Answers

Answer 1

Answer:

X * H

-----------

  2

     

Step-by-step explanation:

Base of the triangle (X) times height of triangle, divided by 2

-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)

Answer 2

The area of the isosceles triangle will be A(x) = √15(x² / 4).

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In an isosceles triangle, the two legs of the triangle are congruent and their opposite angles too.

The base of an isosceles triangle is half as long as each of the two equal sides.

Let the base length be x. Then the length of each other legs will be 2x.

A(x) = √[s(s - x)(s - 2x)(s - 2x)]

The value of s is half of the perimeter.

s = (x + 2x + 2x) / 2

s = 5x / 2

Then the area of the isosceles triangle will be

A(x) = √[5x / 2(5x / 2 - x)(5x / 2 - 2x)(5x / 2 - 2x)]

A(x) = √[5x / 2(3x / 2)(x / 2)(x / 2 )]

A(x) = √(15x⁴ / 16)

A(x) = (x² / 4)√15

The area of the isosceles triangle will be A(x) = √15(x² / 4).

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Related Questions

7x-5=30
I need this explained for me please

Answers

Step-by-step explanation:

7x-5=30

Firstly -5 will cross the equality sign and become +5. so we'll have

7x=30+5=35

7x=35 we'll divide both sides by 7

giving u

7x/7=35/7

=x=5

therefore x=5.

CONFIRMATION

7*5-5=30

PLS MARK ME AS BRAINLIEST

Answer:

x = 5.

Step-by-step explanation:

Solve for X:

7x - 5 = 30= 7 * x= 7(5)= 35 - 5= 30x = 5.Hence, answer is x = 5.

A line intersects the points (-5,1) and (-2,7). m=2 Write an equation in point slope form using the point (-5,1) y-[?] = ___(x-___)

Answers

[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-5)}}} \implies \cfrac{7 -1}{-2 +5}\implies \cfrac{6}{3}\implies 2[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{(-5)})\implies y-1=2(x+5)[/tex]

Type the correct answer in each box. Use numerals instead of words.

What is the solution to this matrix equation?

Answers

By using a system of equations, we will see that the solution is:

x = 25, y = -50, z = -15

How to solve the matrix equation?

We can write this as a system of equations:

4x + 2y - z = 15

x + y - z = -10

-3x - y + z = 60

Notice that if we add the second and third equations, we get:

(x + y - z) + (-3x - y + z ) = -10 + 60

-2x = 50

x = 50/-2 = -25

So we already got the value of x. Replacing that in the second equation we et:

25 + y - z = -10

Isolating y we get:

y = -10 - 25 + z = z - 35

Now we can replace that in the first equation:

4x + 2y - z = 15

4*25 + 2*(z - 35) - z = 15

100 + z - 70 = 15

z = 15 - 100 + 70 = -15

And using:

y =  z - 35 = -15 - 35 = -50

Then the soution to the matrix equation is:

x = 25, y = -50, z = -15

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[tex]-2x + 14 + 10x = 34[/tex]

Answers

Answer:

x = 2.5

Step-by-step explanation:

- 2x + 14 + 10x = 34 , that is

8x + 14 = 34 ( subtract 14 from both sides )

8x = 20 ( divide both sides by 8 )

x = 2.5

log x + log (2x-1) = log 6

Answers

Answer:

x = 2

Step-by-step explanation:

logx + log(2x - 1) = log 6

Apply log rules,

x(2x - 1) = 6

2x^2 - 1x = 6

x = 2 (true) or x = -3/2 (False)

Translate (13, 4) to the right 5 and up 2

Answers

Answer:

(18,6)

Step-by-step explanation:

add 5 units to X and 2 to Y

Please help Urgently and need working out!

Answers

For question 3

A) m= 7/2
B) w=4.8
C) x=1/2

The function f(x) is given by the set of ordered pairs.

{(1,0), (–10,2), (0,6), (3,17), (–2,–1)}

Which equation is true?

f of negative 10 = 1
f of 2 = negative 10
f of 0 = 6
f of 1 = negative 10

Answers

The true equation will be f(6) = 0. Then the correct option is C.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function.

The function f(x) is given by the set of ordered pairs.

{(1,0), (–10,2), (0,6), (3,17), (–2,–1)}

Then the function can be written as

f(abscissa) = ordinate

Then the function will be

f(0) = 6

Then the correct option is C.

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Answer:

f of 0 = 6

Step-by-step explanation:

Edge

Pencils cost $0.05. Notebooks cost $0.30. Henry spent $1.40. How many of each did he buy if he bought the same number of pencils and notebooks? A. 3 B. 4 C. 6 D. 8​

Answers

Answer:

b) 4

Step-by-step explanation:

4 times $0.05 = $0.20

4 times $0.30 = $1.20

then you add the both totals together

0.20 + 1.20= $1.40

Round your answer to the nearest tenth if necessary. Use 3.14 for.
A pan for baking bread is shaped like half a cylinder. It is 16 inches long and 4.5 inches in diameter.
What is the volume of uncooked dough that would fill this pan?
4.5 in.
16 in.
The volume is approximately
in³.


just a little help

Answers

Answer:

127.17 in³

Step-by-step explanation:

V = (1/2)πr²h
(1/2)(3.14)(2.25 in)²(16 in)

(1/2)(3.14)(5.0625 in²)(16 in) = 127.17 in³

( - 37 + 37 ) ÷ - 15 = What is the answerr​

Answers

Answer:

0

Step-by-step explanation:

[tex]~~~(-37+37 )\div(-15)\\\\=0\div (-15)\\\\=0[/tex]

Answer:

0

Step-by-step explanation:

Following PEMDAS -37+37 is 0 and 0/-15 is also 0

PLEASE HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Last option, - 1 / 20

Step-by-step explanation:

plssssssssssssssssss answer corectly

Answers

Answer:

1.equilateral

2.isosceles

3.isosceles

4.isosceles and right

5.scalene

6.scalene and right

7.isosceles and right

8.isosceles

9.equilateral

In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?

x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68

Answers

Answer:

answer is b

Step-by-step explanation:

because all you need to do is flip the signs.


Annie is birdwatching
during her hike.
She records the types of birds she sees in
the table. What is the experimental
probability for each type of bird she sees
during her hike?

Answers

♨ANSWER♥

1) 13/40

2) 22/40

3) 5/40

...hope this helps...

_♡_mashi_♡_

Select the correct answer. This table represents values of a cubic polynomial function. x-2,-1,0,1,2,3 y-12,0,6,7.5,6,3 Based on the information in the table, which sentence describes the interval [-2, 1]?​

Answers

The sentence which best describes the interval [-2, 1] is; The function is decreasing on the interval [-2, 1].

How to find Coordinates from a Table?

From the given table, we see that from the interval of -2 to 1 we see that the value of y constantly decreased with each value.

This is because the differences where 12, 6 and 1.5. Thus, it is clear that the values of y constantly reduces with each corresponding values of x.

Thus, the function is decreasing on the interval [-2, 1].

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what is the meaning of Interest rate

Answers

Answer:

Interest rate is a proportion of a loan rewarded as interest to the borrower, usually expressed as an annual percent of the current loan.

Answer:

See below

Step-by-step explanation:

An interest rate is basically a percentage of principal charged by the lender for the use of its money, and it is paid via simple interest (usually in an annual period). That principal is the amount of money loaned.

For example, you may have seen a 1.5% annual interest rate, or something like that. This means that if your principal was $5000, let's say, you would have to pay $5000 * 0.015 = $75 in interest per year.

Click on the pic there will be the question (very easy I’m just lazy lol)

Answers

Answer: ......... 14.85

Step-by-step explanation:

4.95 × 3

...

14.85

bros lazy lol

A triangle has vertices at (2, 3), (-4, 5), and (-3, 4). What are the coordinates of the vertices
of the image after the translation (x, y) (x + 1, y - 3)?

Answers

[tex](2,3) \longrightarrow (2+1, 3-3)=\boxed{(3,0)}\\(-4,5) \longrightarrow (-4+1, 5-3)=\boxed{(-3, 2)}\\(-3,4) \longrightarrow (-3+1, 4-3)=\boxed{(-2, 1)}[/tex]

The ratio of the one leg of
the right triangle to the other
leg of the right triangle must
be 8:7. Determine the
greatest length of one leg of
the right triangle given the
other leg of the right triangle
is 10.5 feet.

Answers

Answer:

12 ft

Step-by-step explanation:

We assume right triangle ABC with the right angle being at B. We are given that the ratio of AB/CB = 8/7, and one leg is 10.5.  Let's call the other leg is X. We don't know which leg is which so assume both. Then

(a) assume the X leg is the longer

8 / 7 = X / 10.5

(8 * 10.5) / 7= X

X = 12

OR (b) assume the X leg is the shorter

8/7 = 10.5 / X

(8X / 7) = 10.5

8X = 10.5 * 7

8X =  73.5

X = 9.1875

(a) is the greater so (a) wins

Solve | 5+7= 17.
1
O A. x= 15 and x = -15
OB. x= -15 and x = -5
OC. x= -15 and x = 5
OD. x= 15 and x = -5

Answers

The solutions of the absolute value equation is determined as 15 and - 5.

Solution to the absolute equation

The solution to the absolute equation is determined as follows;

|x - 5| + 7 = 17

collect similar terms

|x - 5|  = 17 - 7

|x - 5|  = 10

to resolve the absolute values, form two equations as follows;

x - 5 = 10 and x - 5 = -10

x = 15 and x = -5

Thus, the solutions of the absolute value equation is determined as 15 and - 5.

The complete question is given as;

|x - 5| + 7 = 17

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Solve the rational equation:
2x 2x-5 -3 x-1 x²-3x+2 X-2
A. x= -0.47, X = -3.27 O
B. There is no solution.
C. X = -2, x = -1
D. x = 1, x = 2​

Answers

The solution to the equation [tex]\frac{2x}{x - 1} - \frac{2x -5}{x^2 - 3x + 2} = \frac{-3}{x -2}[/tex] is (b) there is no solution.

How to solve the rational equation?

The equation is given as:

[tex]\frac{2x}{x - 1} - \frac{2x -5}{x^2 - 3x + 2} = \frac{-3}{x -2}[/tex]

Factorize the quadratic numerator

[tex]\frac{2x}{x - 1} - \frac{2x -5}{(x - 1)(x - 2)} = \frac{-3}{x -2}[/tex]

Multiply through by (x - 1)(x - 2)

2x(x - 2) - (2x -5) = -3(x - 1)

Expand

2x² - 4x - 2x + 5 = -3x + 3

Collect like terms

2x² - 4x - 2x + 3x + 5 - 3 = 0

Evaluate the like terms

2x² - 3x + 2 = 0

Using a graphical tool, the above equation has no real solution

Hence, the solution is (b) there is no solution.

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√324 + 6 √64

what is the answer to this question.​

Answers

Answer:

66

Step-by-step explanation:

[tex]\sqrt{324} + 6 \sqrt{64}\\\\=\sqrt{18^2} +6 \sqrt{8^2}\\\\=18+6(8)\\\\=18+48\\\\=66[/tex]

Answer:

hmm

Step-by-step explanation:

not enough words to know u steal my points I steal yours kid

What is the volume of a cylinder with base radius 2 and height 9?

Answers

Answer:

V =113.09734

Step-by-step explanation:

[tex]V=\pi r^{2}[/tex]

[tex]= 2^{2}[/tex] x 9= 113.09734

(which you can technically round to 1)

=113.1

A tree casts a shadow of 20 meters when the angle of elevation of the sun is 24°
Find the height of the tree to the nearest meter.

Answers

The height of the tree is 9 meters

What is angle of elevation?

This is the angle the line of sight makes with the horizontal.

Analysis:

The line of sight , the shadow length and height of tree form right angled triangle.

Let the height of tree be h

so that, tan 24 = h/20

h = 20 tan 24

h = 20(0.445) = 8.9m = 9m

In conclusion, the height of the tree is 9m.

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Which equation matches the graph of the greatest integer function given
below?

Answers

B because I have had this problem and I’m pretty sure it’s b

Answer: is y=[x]-2

I used this app to help me get the answer too lol

I need help and pls help

Answers

Answer:

ok no problem

i am here to give knowledge

7. The answer is x=-2

daniel wants to build a sandbox that has a perimeter or 20.5 ft. the length is 5.36 ft. what is the width of the sandbox?

Answers

Answer:

20.5 - 5.36
= 15.14/2 (because we are using perimeter, so there are 2 equal lengths and 2 equal widths)
=7.57, therefore the width of the sandbox is 7.57 ft.

Answer:

4.89 ft

Step-by-step explanation:

Perimeter of a rectangle is given by the formula :

P = 2L + 2W

So now we solve for W :

P = 2(L+W)

P/2 = L+W

P/2 - L =  W

Now we substitute our P and L into the rearranged formula :

20.5 / 2 - 5.36 = W

10.25 - 5.36 = W

W = 4.89 ft

Hope this helped and brainliest please

(q-1)²

please help!! urgent!!

Answers

Answer:

[tex]q^2-2q+1[/tex]

Step-by-step explanation:

[tex](q-1)^2=(q-1)(q-1)[/tex]

Distribute: [tex]q^2-q-q+1[/tex]

Solve: [tex]q^2-2q+1[/tex]

Hope this helped! Have a great day/night! :)

he national government would like to start a program that would give states money for flood relief. Which of the following states could most likely benefit from a program like this? Idaho
Oklahoma
Wyoming
Mississippi

Answers

The state that would most likely benefit from this program is the Missippi state due to the incidence of floods.

What type of state would benefit the most?

States constantly affected by floods would benefit the most.

What states are affected by floods?GeorgiaMissisippi

In the case of Mississippi state, the floods are caused by the Mississippi River.

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