ABCD is a quadrilateral-shaped field in which diagnol BD is 36m, AL perpendicular to BD and CM perpendicular to BD such that AL=19m and CM=11m. Find the area of the field

Answer:

1. Inverse of matrix A exist  If and Only If

c. the determinate does not equal zero

2. The inverse of matrix A

a.does not exist

Step-by-step explanation:

Given:

Consider matrix A.  2 by 2

A=[tex]\left[\begin{array}{cc}1&1\\1&1\end{array}\right][/tex]

To Find:

Does the inverse of matrix A exist?

Solution:

1. Inverse of matrix A exist  If and Only If

c. the determinate does not equal zero

For the Given Matrix A We have

Det |A| = 1×1 -1×1

Det |A| = 0

2. The inverse of matrix A

a.does not exist

Answer:

The determinate does not equal zero and does not exist

Step-by-step explanation:

Answer:

5x^2-6x-10

Step-by-step explanation:

(2x^2-2x)-(-3x^2+4x+10)

2x^2-2x+3x^2-4x-10

5x^2-2x-4x-10

5x^2-6x-10

Answer:

Circumference is 12.56 km

Explanation:

C = 2πr (with radius)

C = 2(3.14)(2)

C = 12.56 km

The circumference of a circle with a radius of 2 km is calculated using the formula C = 2πr. Using π ≈ 3.14159, the circumference is approximately 12.57 km.

The circumference of a circle is calculated using the formula C = 2πr, where C is the circumference and r is the radius of the circle. Given the radius (r) of 2 km, we can substitute this value into the formula to find the circumference:

C = 2π(2 km)
C = 4π km
By using the approximation π ≈ 3.14159, we can calculate the circumference as:

C = 4 × 3.14159 km
C ≈ 12.56636 km

Therefore, the circumference of the circle is approximately 12.57 kilometers.

Answer:

In order to determine the density of a solid , it is necessary to determine the mass and the volume

Step-by-step explanation:

Answer:

density of a solid?

Answer

Density of a solid

Mass/Volume

So (i) measure the mass, and (ii) measure the volume, and then take the quotient.

Of course, the mass is easy to measure. The volume is a little harder to assess, especially if it is an irregularly shaped solid, however, volume displacement of a liquid would be a quite feasible means.

Step-by-step explanation:

Density of salt is in the picture above please mark me brainliest

:)

Answer:

Part 1) The length of the apothem is 13.32'

Part 2) The perimeter of the decagon is 86.5'

Step-by-step explanation:

we know that        

A regular decagon has 10 equal sides and 10 equal interior angles

A regular decagon can be divided into 10 congruent isosceles triangle

(they are isosceles since their two sides are the radii of the polygon and the unknown side is the side of the polygon)  

 The vertex angle of each isosceles triangle is equal to

[tex]\frac{360^o}{10}=36^o[/tex]

To find out the side length of the decagon, we can use the law of cosines

so

[tex]c^2=a^2+b^2-2(a)(b)cos(C)[/tex]

where

c is the length side of decagon

a and b are the radii

we have

[tex]a=14'\\b=14'\\C=36^o[/tex]

substitute the values

[tex]c^2=14^2+14^2-2(14)(14)cos(36^o)[/tex]

[tex]c^2=392-(392)cos(36^o)[/tex]

[tex]c^2=392-(392)cos(36^o)[/tex]

[tex]c=8.65'[/tex]

To fin out the perimeter of decagon multiply the length side by 10

so

[tex]P=8.65(10)=86.5'[/tex]

To find out the apothem we can apply the Pythagorean Theorem in one isosceles triangle

see the attached figure to better understand the problem

[tex]r^2=a^2+(c/2)^2[/tex]

substitute the given values

[tex]14^2=a^2+(8.65/2)^2[/tex]

solve for a

[tex]a^2=14^2-(8.65/2)^2[/tex]

[tex]a=13.32'[/tex]

Answer:

Sample Response: George did not put parentheses around the total snack amount to be subtracted from his $15. He needed to total the purchases and then subtract that amount from $15.

Step-by-step explanation:

Answer:

Step-by-step explanation:

20-pack of Dr. Pepper cost $5.50 . As per this deal

  Cost of one pack = 5.5/20 = $ 0.275

a 6-pack cost $1.50.As per this deal

  Cost of one pack = 1.50/6 = $ 0.25

A 6-pack cost $1.50 is the better deal.

Answer:

1. s = 19

2. 17

3. R

4. Angle bisector

5. 53°

Step-by-step explanation:

1. If VY is a midsegment of triangle WXZ, then by midsegment theorem,

[tex]VY=\dfrac{1}{2}WX.[/tex]

Since [tex]WX=s+55[/tex] and [tex]VY=s+18,[/tex] then

[tex]s+18=\dfrac{1}{2}(s+55)\\ \\2(s+18)=s+55\\ \\2s+36=s+55\\ \\2s-s=55-36\\ \\s=19[/tex]

2. A triangle has two sodes of length 18 and 2 units.

Let c units be the length of the third side. Then

[tex]18+c>2\\ \\2+c>18\\ \\2+18>c[/tex]

So,

[tex]c>-16\\ \\c>16\\ \\c<20[/tex]

Hence, [tex]16<c<20,[/tex] and the smallest possible whole-number length for the third side is 17 units.

3. In triangle QSR, the smallest angle is opposite to the smallest side. The smallest side is the side with length of 49 m, then the smallest angle is angle R.

4. Given ∠VYW≅∠WYX.

Definition of angle bisector: An angle bisector in a triangle is a line segment that bisects one of the vertex angles of a triangle.

Thus, YW is angle Y bisector.

5. Consider two right triangles ACD and ABC. In these triangles,

Then, by HL postulate, triangles ACD and ABC are congruent. Congruent triangles have congruent corresponding sides, then

∠ACD ≅ ∠ACB

and

m∠ACB = m∠ACD = 53°

Option A and Option B

The equivalent expressions for 24k + 36q - 12 are 12(2k + 3q - 1) and 3(8k + 12q - 4)

Solution:

Given that we have to factor 24k + 36q - 12

To factor a number or expression containing variables means to break it up into smaller numbers or expressions that can be multiplied together to get the original number or expression

Given expression is:

24k + 36q - 12

So for numbers 24 , 36 and 12: the factors that divides all these numbers 24, 36 and 12 completely are 12 and 3 and also 2

In the above expression we take 12 common term

12(2k + 3q - 1)

So option A is correct

We can also take out 3 as common term

3(8k + 12q - 4)

So option B is also correct

Thus the equivalent expressions are: 12(2k + 3q - 1) and 3(8k + 12q - 4)

Answer:

The net effect of amount in John account after 5 months is  $A - $200

Step-by-step explanation:

Given as :

The amount of money withdraws by John each month from his account = $40

Let The total amount of  money did John had in his account = $A

Let the amount left in John account after 5 months of withdraw = $x

So, According to question

∵ Each month the money withdraw from account = $40

∴ In 5 months , the money withdraw = $40 × 5

I.e In 5 months , the money withdraw = $200

So, The left money in account after withdraw in 5 months = $A - The amount withdraw in 5 months

I.e x = $A - $200

So, The balance in account after 5 months = x =  $A - $200

Hence, The net effect of amount in John account after 5 months is             $A - $200  Answer

Answer:

x = 142º

Step-by-step explanation:

The measurements of all of the angles in a triangle always equal 180º.

We can use this formula: x + y = 180º

Now, substitute in the known value(s) into the formula.

x + 38º = 180º

Solve

x = 180º - 38º =  142º

x = 142º

Hope this helps :)

Answer:

9p

Explanation:

4p + 5p are like terms since they have the same variable p

All you have to do is add the numbers

(4+5)p = 9p

Answer -

46.2/6 = 7.7

107.9/14 =7.7

it's show proportional relationship

a/b =K

k is proportionality constant

46.2/6 = 7.7 = K

Answer:

X < -2

Step-by-step explanation:

5x/5 < -10/5. Divide each side by 5

Answer:

Charnessa has 4 times as many apples as Luke. Luke has -8 apples.

Hope this is what you were looking for :)

Answer:

Step-by-step explanation:

The school store sells packs of 12 pens for $2.40.  

Select the three unit rates that describe this sale.

There is more than one correct answer

$0.20 per pen

$2.40 per pack of pens

5 pens per dollar

120 pens per $24

HOPE THIS HELPED ;3

Answer:

y = [tex]\frac{1}{4}[/tex] x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 1)

m = [tex]\frac{1-0}{0+4}[/tex] = [tex]\frac{1}{4}[/tex]

Note the line crosses the y- axis at (0, 1) ⇒ c = 1

y = [tex]\frac{1}{4}[/tex] x + 1 ← equation of line

Answer:

[tex]15x\geq 105[/tex]

Step-by-step explanation:

Hence, the inequality represents how long Johnny needs to work to afford his new bike is

[tex]15x\geq 105[/tex]

What is the inequality?

The relationship between two values that are not equal is defined by inequalities. Inequality means not equal.

Here given that,

Johny earns $[tex]15[/tex] per hour dog walking. So, he wants to earn at least $[tex]105[/tex] to buy a new bike.

So, the inequality is

[tex]15x\geq 105[/tex]

Hence, the inequality represents how long Johnny needs to work to afford his new bike is

[tex]15x\geq 105[/tex]

To know more about the inequality

https://brainly.com/question/12679763

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Answer:

Co-ordinates of endpoint is  (-24,-17)

Step-by-step explanation:

The question should be given as :

Find the coordinates of the other endpoint of the segment, given its midpoint (-19,-18) and one endpoint (-14,-19).

Step-by-step explanation:

Given point:

Endpoint (-14,-19)

Mid-point of segment  (-19,-18)

Let endpoint have co-ordinates [tex](x_2,y_2)[/tex]

Using midpoint formula:

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are co-ordinates of the endpoint of the segment.

Plugging in values to find the midpoint of segment.

[tex]M=(\frac{-14+x_2}{2},\frac{-19+y_2}{2})[/tex]

We know [tex]M(-19,-18)[/tex]

So, we have

[tex](-19,-18)=(\frac{-14+x_2}{2},\frac{-19+y_2}{2})[/tex]

Solving for [tex]x_2[/tex]  

[tex]\frac{-14+x_2}{2}=-19[/tex]

Multiplying both sides by 2.

[tex]\frac{-14+x_2}{2}\times 2=-19\times 2[/tex]

[tex]-14+x_2=-38[/tex]

Adding both sides by 14.

[tex]-14+x_2+14=-38+14[/tex]

∴ [tex]x_2=-24[/tex]

Solving for [tex]y_2[/tex]  

[tex]\frac{-19+y_2}{2}=-18[/tex]

Multiplying both sides by 2.

[tex]\frac{-19+y_2}{2}\times 2=-18\times 2[/tex]

[tex]-19+y_2=-36[/tex]

Adding both sides by 19.

[tex]-19+y_2+19=-36+19[/tex]

∴ [tex]y_2=-17[/tex]

Thus co-ordinates of point N is (-24,-17)

Answer:

x=(3+sqrt(7)*i)/4, (3-sqrt(7)*i)/4.

Step-by-step explanation:

Apply the quadratic formula.

Answer:

[tex]x = \frac{3 +/- i \sqrt{7} }{4}[/tex]

Step-by-step explanation:

[tex]2x^{2} -3x + 2 = 0[/tex]

a =2 b = -3 c = 2. Substitute these into the quadratic formula [tex]x = \frac{-b +/- \sqrt{b^{2}- 4ac} }{2a}[/tex].

[tex]x = \frac{-(-3)+/- \sqrt{(-3)^{2} - 4(2*2)} }{2(2)}[/tex] Simplify.

[tex]x = \frac{3+/-\sqrt{(9)^{2} - 4(4) } }{4}[/tex] Keep simplifying...

[tex]x = \frac{3+/-\sqrt{9-16} }{4}[/tex] Simplify again...

[tex]x = \frac{3 +/-\sqrt{-7} }{4}[/tex] There will be an imaginary number because the number under the [tex]\sqrt{}[/tex] is negative, so

[tex]x = \frac{3+/-i\sqrt{7} }{4}[/tex]

Hey, I'd like to give you a professional response.

First we need to re-group terms.

1. 2(3+g)−g=−4(g+1)

Let's also expand the terms.

6+2g−g=−4g−4

Simplify 6+2g-g to 6 + g.

6+g=-4g-4

Add 4g to BOTH sides.

6+2g−g=−4g−4

Simplify 6+g+4g to 6+5g.

6+5g=-4

Now subtract 6 from both sides.

5g = -4-6

Simplify -4 - 6 to -10.

Now you have 5g = -10.

g = -10/5 (Divide both sides by 5)

Simplify -10/5 to 2.

G = 2

Let's check our answer.

First let g = 2.

2+2 X (3-2) = -4 X (-2 + 1)

2 + 2 X 1 = -4 X (-2 +1)

2 + 2 X 1 = -4 x -1

2+2 = -(-4)

Remove the parentheses,

4 = 4 This problem has been checked.

Answer:

The value of x is 5.

Step-by-step explanation:

Label the diagram such as

Given:

AD= x

DB= x +5

AE = x - 2

EC = x + 1

DE || BC

To Find:

x = ?

Solution:

Basic Proportionality Theorem:

"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".

DE || BC

∴ [tex]\dfrac{AD}{DB}= \dfrac{AE}{EC}[/tex] ...Basic Proportionality Theorem

Substituting the values in it we get

[tex]\dfrac{x}{x+5}= \dfrac{x-2}{x+1}\\x(x+1)=(x+5)(x-2)\\\\x^{2}+x= x^{2}+3x-10\\  -2x=-10\\\\x=\dfrac{10}{2}=5\\ \\\therefore x =5[/tex]

The value of x is 5.

Answer:

OPTION D: NEITHER

Step-by-step explanation:

The given equation is: 7x - 2y = - 5

To find a solution to this, we substitute the options and compare LHS and RHS.

OPTION A: (1, 5)

LHS = 7(1) - 2(5) = 7 - 10 = -3

RHS = - 5

LHS [tex]$ \ne $[/tex] RHS.

So, this option is eliminated.

OPTION B: (-1, 1)

LHS = 7(-1) - 2(1) = -7 - 2 = - 9

RHS = - 5

Again, LHS [tex]$ \ne $[/tex] RHS.

So, this Option is eliminated as well.

OPTION C: It says both A and B. Clearly, this is eliminated as well.

Therefore, the answer is: OPTION D: NEITHER.

NOTE: This is a two variable equation. So, we need a minimum of two equations to determine the solution. Since, only one equation is given here, we use the help of options.

Answer:

The correct answer is A. Debit Revenue and Credit Income Summary

Step-by-step explanation:

Let's recall that at the end of the accounting year, closing entries transfer the balances from the temporary accounts to a permanent account with the purpose that those temporary accounts will begin the next accounting year with zero balances.

However, an intermediate account called Income summary is created and used in the closing stage of the accounting year to register all income and expense balances and determine the net result for the period (income or loss).

Upon saying that, usually revenue accounts have a credit balance.  To make it zero we want to decrease the balance.  We will debit the revenue account and credit the Income Summary account.  This credit to income summary should be exactly the total revenue from the income statement.

The correct answer is A. Debit Revenue and Credit Income Summary

Answer:

Step-by-step explanation:

During the closing process, which of the following would likely occur?

Question options:

Debit Revenue and Credit Income Summary

Answer:

The “blank” is 4

Step-by-step explanation:

4 1/4= 16/x+ 1/4

We want to get rid of the 1/4. So we subtract it from both sides and get

4= 16/x

We know that if we put 16 divided by 4, you get 4.

This gives you 4= 16/4.

This is your final answer.

Answer:

13

Step-by-step explanation:

w^2=(-2)(-2)=4

4-(-8)+1=4+8+1=12+1=13

Answer:

81/16

Step-by-step explanation:

Answer: 14 cakes

Step-by-step explanation:

We have the following data:

Number of gallons the baker has: [tex]4 gallons \frac{16 cups}{1 gallon}=64 cups[/tex]

Number of cups the baker used for one cake: [tex]4,5 cups[/tex]

Now, we can use the Rule of three  to find the maximum number of cakes the baker can completely decorate:

[tex]4.5 cups[/tex]-----​[tex]1 cake[/tex]

[tex]64 cups[/tex]-----​[tex]?[/tex]

Then:

​[tex]?=\frac{(64 cups)(1 cake)}{4.5 cups}[/tex]

​[tex]?=14,2 cakes \approx 14 cakes[/tex]