find the area of isosceles triangle whose each side is 13cm and base 24cm.show by heron's formula!!
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Answer:

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

so

just consider the lengh:

[tex] \frac{1}{3} [/tex]

or the width :

[tex] \frac{3}{9} [/tex]

or the area:

[tex] \sqrt{ \frac{3 \times 1}{9 \times 3} } = \sqrt{ \frac{3}{27} } = \sqrt{ \frac{1}{9} } = \frac{1}{3} [/tex]

Answer:

x = 11º

Step-by-step explanation:

1. Notice Parallel Lines

2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)

3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º

4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.

5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).

Answer:

11 degrees

Step-by-step explanation:

Ur welcome

Answer:

64x^3-241x^2+296x-125

Step-by-step explanation:

Answer:

60x^3-253x^2+308x-122

Step-by-step explanation:

(4x-5)^3-(x^2+4x+1)(4x-3)

=64x^3-240x^2+300x-125-(x^2+4x+1)(4x-3)

=(4x)^3-3(4x)^2*5+3*4x*5^2-5^3

=64x^3-240x^2+300x-125

=-(4x^3+13x^2-8x-3)

=-(4x^3)-(13x^2)-(-8x)-(-3)

=-4x^3-13x^2+8x+3

=64x^3-240x^2+300x-125-4x^3-13x^2+8x+3

=64x^3-4x^3-240x^2-13x^2+300x+8x-125+3

=64x^3-4x^3-253x^2+300x+8x-125+3

=60x^3-253x^2+300x+8x-125+3

=60x^3-253x^2+308x-125+3

=60x^3-253x^2+308x-122

So the Answer is 60x^3-253x^2+308x-122.

God Bless, Hope it helps!!!!!!!

Answer:

13/4 * 5/2

Step-by-step explanation:

In the question, it says that her coach wants her to run 2 1/2 TIMES the original 3/4 she had ran. Therefore, you would want to make the fractions into improper fractions, and then multiply, which is how you would get 13/4 * 5/2.

Answer:

7x + 23

Step-by-step explanation:

Remember BPEMDAS.

Product of 7 and a number means 7 times a variable: 7x

23 more than part means 23 + whatever we just did, so:

7x + 23

Answer:

23+7x

Step-by-step explanation:

23 + (7 * x)

23+7x

Answer:

Step-by-step explanation:

It will never be positive becasue there is a negitive sign in the equation. negitives overule positives. Therefor it will never be positive.

Answer:

(8, 6)

Step-by-step explanation:

M  (9. 4)

TU (x, y)

U (10.2)

T:

T = (8, 6)

Answer:

T:  (8, 6)

Step-by-step explanation:

The midpoint formulas for xm and ym involve the average x value and the average y value.  Let T:  (a, b) and V: (10,2).  The actual midpoint is M(9,4).

Looking at the x-coordinates first:

a + 10

--------- = 9 (x-coordinate of the midpoint)

    2

Then a + 10 = 18 and a = 8 (x-coordinate of point T)

Next, look at the y-coordinates:

b + 2

-------- = 4 (y-coordinate of the midpoint)

   2

Then b + 2 = 8 and b = 6

Then the x- and y-coordinates of T(a, b) are 8 and 6 respectively:

T:  (8, 6)

Answer:

c. clockwise rotation

Step-by-step explanation:

f(x)=9x+3 has a much steeper slope than 4x+3, which means that when you move from f(x) to g(x) it goes clockwise.

Answer:

of which apothem? Id be happy to help

Step-by-step explanation:

Answer:

√2x+8=x-8

2x+8=x^2-16x+64

-x^2+18x-56=0

x^2-18x+56=0

x(x-4)-14(x-4)=0

(X-4)(x-14)=0

x=4(extraneous) ,x=14

—> x=14

Step-by-step explanation:

Answer: (14,6)

Step-by-step explanation:

Right on edg 2022.

Answer:

D. 5290 feet

Step-by-step explanation:

1 mile = 5280 feet

The closest number to 5280 is 5290.

5000, 5350, and 5500.89 are more further away from 5280 than 5290.

Answer: D

Step-by-step explanation:

If one mile is  equal to 5280 feet then the most accurate measurement is 5290 feet because that is the closest estimate.

Answer:

42 inches squared.

Step-by-step explanation:

Base of the Triangular Plate = 7 Inches

Height = 12 Inches

Area of a Triangle [tex]=\dfrac12 \times Base \times Height[/tex]

Therefore:

[tex]T$he area of the top of the plate=\dfrac12 \times 7 \times 12\\\\=$42 inches squared.[/tex]

Answer: 42

Step-by-step explanation:

Answer:

$25

Step-by-step explanation:

95+30= 125

125/5= 25

Answer:

option c boo if it's for plata

Answer:

The answers are: 1 and 1.

Step-by-step explanation:

I believe they are how combinations are written. In other words:

[tex]_{n}C_{r}=(\frac{n}{r})=n!/(r!(n-r)!)[/tex] (Ignore the fraction bar, I can't really format it properly).

Anyways, simply find the combination of each:

[tex](\frac{9}{0})=9!/(0!(9-0)!)=9!/9!=1[/tex]

[tex](\frac{9}{9} )=9!/(9!(9-9)!)=9!/9!(0!)=9!/9!=1[/tex]

Note that 0! equals 1.

Answer:

Ahh

Step-by-step explanation:

Hhs

ur welcome brainliest person

Answer:

The coordinates of the shape (rectangle), that can be rotated around the y axis to create a cylinder are;

A = (0, 5)

B = (2, 5)

C = (2, 0)

D = (0, 0)

Step-by-step explanation:

A shape that can be rotated around the y axis to create a cylinder is a rectangle ABCD

Given that the rectangle is to be rotated about the y-axis to form a cylinder, the vertical sides of the rectangle are to be parallel to the y-axis such that the x coordinates at the top and bottom will be equal in the opposite vertical segments as follows;

The complete coordinates of the rectangle, ABCD that can be rotated around the y axis to create a cylinder are therefore presented as follows

A = (0, 5)

B = (2, 5)

C = (2, 0)

D = (0, 0).

Answer:

1/5

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/ (x2-x1)

    = (3-2)/(4 - -1)

    (3-2) /( 4+1)

     1/5

Answer:

B. 1/5

Step-by-step explanation:

The slope can be found through two points.

m = rise/run

m = (y2 - y1)/(x2 - x1)

m = (3 - 2)/(4 - (- 1))

m = 1/(4+1)

m = 1/5

Th slope of the line going through the points  (-1, 2) and (4, 3) is 1/5.

Answer:

The number of houses on Algebra Avenue are 76 houses

Step-by-step explanation:

The given information are;

Buildings on Algebra Avenue in Mathpolis = 2 or 3 stories high

Total number of stories = 95 + Total number of houses

The number of two-story houses = 3× The number of three-story houses

Let the number of three-story houses = X

Therefore, the number of two-story houses = 3 × X

Total number of stories = 3×X + 2×3×X = 9·X

The total number of houses = X + 3 × X = 4·X

Given that, the total number of stories = 95 + Total number of houses, we have;

9·X = 95 + 4·X

9·X - 4·X = 95

5·X = 95

X = 95/5 = 19

X = 19

The total number of houses = 4·X

Therefore, the total number of houses = 4 × 19 = 76 Houses.

Answer:

76

Step-by-step explanation:

Answer:

1. The equations is inconsistent and has no solution

2. The equations is consistent and has no solution

3. A pen costs $1.50 and a notebook costs $2.00

Step-by-step explanation:

Solving [tex]7x + 3y = 10[/tex] and [tex]3y = 9 - 7x[/tex]

[tex]7x + 3y = 10[/tex] --- Equation 1

[tex]3y = 9 - 7x[/tex] --- Equation 2

Add 7x to both sides in equation 2

[tex]7x + 3y = 9 - 7x + 7x[/tex]

[tex]7x + 3y = 9[/tex]  --- Equation 3

Subtract equation 3 from 1

[tex](7x + 3y = 10) - (7x + 3y = 9)[/tex]

[tex]7x - 7x + 3y - 3y = 10 - 9[/tex]

[tex]0 + 0 = 1[/tex]

[tex]0 \neq 1[/tex]

The equations is inconsistent and has no solution

Solving [tex]3x + y = 4[/tex] and  [tex]12x + 4y = 16[/tex]

[tex]3x + y = 4[/tex] -- Equation 1

[tex]12x + 4y = 16[/tex] ---- Equation 2

Make y the subject of formula in equation 1

[tex]y = 4 - 3x[/tex]

Substitute 4 - 3x for y in equation 2

[tex]12x + 4(4 - 3x) = 16[/tex]

[tex]12x + 16 - 12x = 16[/tex]

Collect Like Terms

[tex]12x - 12x = 16 - 16[/tex]

[tex]0 = 0[/tex]

The equations is consistent and has no solution

3. Solving John and Harry

Given;

Represent Pen with P and Notes with N

John: [tex]3P + 8N = 20.5[/tex]

Harry: [tex]4P + 5N = 16.00[/tex]

Required

Find P and N

Make P the subject of formula in equation 2

[tex]4P = 16 - 5N[/tex]

[tex]P = \frac{16 - 5N}{4}[/tex]

Substitute [tex]P = \frac{16 - 5N}{4}[/tex] in equation 1

[tex]3P + 8N = 20.5[/tex]

[tex]3(\frac{16 - 5N}{4}) + 8N = 20.5[/tex]

Open the bracket

[tex]\frac{48 - 15N}{4} + 8N = 20.5[/tex]

Take LCM

[tex]\frac{48 - 15N + 32N}{4} = 20.5[/tex]

[tex]\frac{48 + 17N}{4} = 20.5[/tex]

Multiply both sides by 4

[tex]4 * \frac{48 + 17N}{4} = 20.5 * 4[/tex]

[tex]48 + 17N = 82[/tex]

Subtract 48 from both sides

[tex]48 - 48 + 17N = 82 - 48[/tex]

[tex]17N = 82 - 48[/tex]

[tex]17N = 34[/tex]

Divide both sides by 17

[tex]17N/17 = 34/17[/tex]

[tex]N = 34/17[/tex]

[tex]N = 2[/tex]

Substitute 2 for N in [tex]P = \frac{16 - 5N}{4}[/tex]

[tex]P = \frac{16 - 5 * 2}{4}[/tex]

[tex]P = \frac{16 - 10}{4}[/tex]

[tex]P = \frac{6}{4}[/tex]

[tex]P = 1.5[/tex]

Hence, a pen costs $1.50 and a notebook costs $2.00

Answer:

13

Step-by-step explanation:

Evaluate 3² then add and subtract, that is

10 + 3² - 6

= 10 + 9 - 6

= 19 - 6

= 13

Answer:

a = 95

Step-by-step explanation:

a+ 35+ 50 = 180

Combine like terms

a+ 85 = 180

Subtract 85 from each side

a+85-85 = 180-85

a = 95

9514 1404 393

Answer:

  [0]

Step-by-step explanation:

The product is the sum of the products of corresponding terms:

  1·4 +(-2)·5 +1·6 = 4 -10 +6 = 0

The product is the 1×1 matrix: [0].

Answer:

1. There are 70 dimes and 33 quarters

2. There are 42 dimes and 52 quarters

Step-by-step explanation:

Question 1:

Number of coins: 103

Vaiue of coins = $15.25

Required  

Number of Dimes and Quarters;

Let D =Dimes and Q =Quarters

The total coins is represented as:

[tex]D + Q = 103[/tex] ----------------- Equation 1

1 dime is equivalent to $0.10 and 1 quarter is equivalent to $0.25; So

[tex]0.1D + O.25Q = 15.25[/tex] -------------------- Equation 2

Make D the subject of formula in equation 1

[tex]D = 103 - Q[/tex]

Substitute 103 - Q for D in equation 2

[tex]0.1(103 - Q) + 0.25Q = 15.25[/tex]

Open bracket

[tex]0.1*103 - 0.1 * Q + 0.25Q = 15.25[/tex]

[tex]10.3 - 0.1Q + 0.25Q = 15.25[/tex]

[tex]10.3 + 0.15Q = 15.25[/tex]

Subtract 10.3 from both sides

[tex]10.3 - 10.3 + 0.15Q = 15.25 - 10.3[/tex]

[tex]0.15Q = 15.25 - 10.3[/tex]

[tex]0.15Q = 4.95[/tex]

Divide both sides by 0.15

[tex]\frac{0.15Q}{0.15} = \frac{4.95}{0.15}[/tex]

[tex]Q = \frac{4.95}{0.15}[/tex]

[tex]Q = 33[/tex]

Recall that [tex]D = 103 - Q[/tex]

[tex]D = 103 - 33[/tex]

[tex]D = 70[/tex]

Hence, there are 70 dimes and 33 quarters

Question 2:

Number of coins: 94

Vaiue of coins = $17.2

Required  

Number of Dimes and Quarters;

Let D =Dimes and Q =Quarters

The total coins is represented as:

[tex]D + Q = 94[/tex] ----------------- Equation 1

1 dime is equivalent to $0.10 and 1 quarter is equivalent to $0.25; So

[tex]0.1D + O.25Q = 17.2[/tex] -------------------- Equation 2

Make D the subject of formula in equation 1

[tex]D = 94 - Q[/tex]

Substitute 94 - Q for D in equation 2

[tex]0.1(94 - Q) + 0.25Q = 17.2[/tex]

Open bracket

[tex]0.1*94 - 0.1 * Q + 0.25Q = 17.2[/tex]

[tex]9.4 - 0.1Q + 0.25Q = 17.2[/tex]

[tex]9.4 + 0.15Q = 17.2[/tex]

Subtract 9.4 from both sides

[tex]9.4 - 9.4 + 0.15Q = 17.2 - 9.4[/tex]

[tex]0.15Q = 17.2 - 9.4[/tex]

[tex]0.15Q = 7.8[/tex]

Divide both sides by 0.15

[tex]\frac{0.15Q}{0.15} = \frac{7.8}{0.15}[/tex]

[tex]Q = \frac{7.8}{0.15}[/tex]

[tex]Q = 52[/tex]

Recall that [tex]D = 94 - Q[/tex]

[tex]D = 94 - 52[/tex]

[tex]D = 42[/tex]

Hence, there are 42 dimes and 52 quarters

Answer:

Fro the first one there are 70 dimes and 33 quarters for the second one there are 42 dimes and 52 quarters

Step-by-step explanation:

Answer:

[tex]B. f(x) = 5(27)^x[/tex]

Step-by-step explanation:

Well lets graph it first,

Look at the image below ↓

By looking at the image we can tell that answer choice [tex]B. f(x) = 5(27)^x[/tex].

Thus,

answer choice B is correct.

Hope this helps :)

Answer:

The correct result would be f(x) = 5(27)x.

Step-by-step explanation:

If you would like to find an equivalent function to f(x) = 5(3)^(3x), you can do this using the following steps:

f(x) = 5(3)^(3x) = 5(3^(3x)) = 5(27)^x = 5(27)x

hope this helped :)

Answer:

Down tube AC > top tube AB, In A triangle, side opposite greater angle is greater.

Step-by-step explanation:

1. Top tube AB, down tube, AC, and seat tube, BC form a triangle,  1 Given

3. Segment AB = Segment AX,     3. Definition of isosceles triangle

4. m∠1 = m∠2,                            4. Base angles of an isosceles triangle

5. m∠2 = m∠3 + m∠C,               5. External angle of a triangle is equal to the sum of the two interior opposite angles

6. m∠1 = m∠3 + m∠C,                 6. Substitution

7. m∠B = m∠1 + m∠3,                   7. Angle addition postulate

8. m∠B = m∠3 + m∠3 + m∠C,      8. Substitution

9. m∠B > m∠C,                              9. Definition of greater than  

Down tube AC > top tube AB, In A triangle, side opposite greater angle is greater.

Answer:

The ratio of Dial it up is $1: 20 text messages

The ratio of Ring Ring is

$1: 25 text messages

Step-by-step explanation:

Dial it up=$5 for 100 text messages

Ring Ring=$8 for 200 text messages

What is the ratio of the number of text messages to the price in dollars offered by each company?

The ratio of Dial it up is

$5 : 100

=$5/100

=$1/20

The ratio of Dial it up is $1: 20 text messages

The ratio of Ring Ring is

$8:200 text messages

=$8/200

=$1:25

The ratio of Ring Ring is

$1: 25 text messages

Ring Ring has a cheaper text message plan compared to Dial it up

Hey there! :)

Answer:

Option C.

Step-by-step explanation:

A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:

Slope of perpendicular line = -3/2.

Remember, the equation for solving for the slope is:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

We must find points that when plugged into this equation, equal to -3/2.

Plugging in the points in option A:

[tex]\frac{2}{3} \neq \frac{-3}{2}[/tex]

Option B:

[tex]\frac{3}{4} \neq \frac{-3}{2}[/tex]

Option C: This is the correct answer.

[tex]\frac{-3}{2} = \frac{-3}{2}[/tex]

Option D:

[tex]\frac{2}{10}\neq \frac{-3}{2}[/tex]

The recursive model is [tex]\begin{cases}a_1 = 2\\a_{n} = 4*a_{n-1}\end{cases}[/tex]

--------------

The explicit model is [tex]a_n = 2(4)^{n-1}[/tex]

============================================================

Explanation:

Finding the recursive model

The starting term of this geometric sequence is 2. We would write [tex]a_1 = 2[/tex]. The small subscript 1 indicates the term number, while 2 is the term itself.

The second term is [tex]a_2 = 8[/tex]

The third term is [tex]a_3 = 32[/tex]

and so on. Pick any term you want that isn't the first term. Divide that term you picked over its previous term. So say you picked the third term. Divide that over the second term to get

(third term)/(second term) = 32/8 = 4

or you could do fourth over third

(fourth term)/(third term) = 128/32 = 4

Each time you do this, you should get 4 as a result. This is the common ratio. We multiply each term by 4 to get the next term.

So the recursive step is [tex]a_{n} = 4*a_{n-1}[/tex] which says "the nth term [tex]a_n[/tex] is found by multiplying the prior term [tex]a_{n-1}[/tex] by 4". The entire "n-1" is a subscript to show it is the term just before the nth term.

Overall we have [tex]a_1 = 2[/tex] as the first term and the recursive rule [tex]a_n = 4*a_{n-1}[/tex] both of which combine to get the recursive model [tex]\begin{cases}a_1 = 2\\a_{n} = 4*a_{n-1}\end{cases}[/tex]

That just says "start at 2, multiply each term by 4 to get the next one"

----------------------------------------------------

Finding the explicit model

We have a = 2 as the first term and r = 4 as the common ratio. Plug those into the nth term of a geometric sequence formula as shown below

[tex]a_n = a*(r)^{n-1}\\\\a_n = 2(4)^{n-1}[/tex]

and that's all there is to it.

Answer:

(a) 20.9 years.

(b) 34 years old.

Step-by-step explanation:

Well for part a, just multiply the ages by their respective frequencies, and add them and divide by 11. You would get 20.90909091, so the mean age is about 20.9.

For part b, there would be 12 players with a mean age of 22. Their ages would add up to be 12 * 22 = 264.

The original 11 players' ages add up to be 230. 264 - 230 = 34. So, the new player is 34 years old.

Hope this helps!