The gross weight of a package and its contents is 11 pounds 5 ounces . If the packaging weighs 1 pound 15 ounces , what's the net weight of the contents

The annual interest rate paid for the pawned guitar is calculated to be 640%, which is obtained by dividing the interest paid by the original loan amount to find the monthly rate and then multiplying by 12.

To calculate the annual interest rate paid for pawning the guitar, we need to first determine the total interest paid, then the monthly interest rate, and finally convert that to an annual rate. The interest paid is the difference between the amount received from pawning the guitar and the amount paid to redeem it, which is $1,472 - $960 = $512.

As the loan was for one month, we can determine the monthly interest rate by dividing the interest paid by the principal amount. This gives us $512 / $960 = 0.5333 or 53.33%. To find the annual interest rate, we multiply the monthly rate by 12 (the number of months in a year). Thus, the annual interest rate is 53.33% * 12 = 640%.

It's important to note that this is an extremely high rate of interest, which is not uncommon for pawnshop loans or other short-term high-risk loans.

The lines r and s are parallel

What are angles in parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.

We can conclude three factors determining parallel lines ,

Given data ,

From the figure m4 = m5

And , m4 and m5 are alternate angles

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size

So , m1 = m5 are corresponding angles

Or angle 1 = angle 5

Corresponding angles are the pairs of angles formed on the same side of the transversal that are either both obtuse or both acute and are equal in size.

Similarly , m2 = m6 or angle 2 = angle 6

Hence , the lines r and s are parallel by the properties of angles in parallel lines.

To learn more about parallel lines click :

https://brainly.com/question/17237586

#SPJ2

∆ABC~∆PQR

AB~PQ , c~r

c:r

Answer:

The correct option is 2.

Step-by-step explanation:

It is given that triangles ABC and PQR are similar triangles.

The sides of the triangle ABC are AB = c, BC = a, and AC = b. Triangle PQR has sides PQ = r, QR=p and PR=q.

If two triangles are similar, then their corresponding sides proportional.

Since ABC and PQR are similar triangles, therefore

[tex]\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}[/tex]

[tex]\frac{c}{r}=\frac{a}{p}=\frac{b}{q}[/tex]

It can be written as

[tex]\frac{c}{r}=\frac{b}{q}[/tex]

[tex]\frac{a}{p}=\frac{b}{q}[/tex]

Therefore b:q is equal to c:r or a:p. Option 2 is correct.

The answer is:  B. 1 - Only one of the five people is telling the truth.

In this scenario, we are given that five people are sitting around a circle. Some always tell the truth, while others always lie. Each person claims to be sitting between two liars.

Let's analyze the possibilities:

If all five people were telling the truth, each person's claim of sitting between two liars would be true. However, this would mean that all five people are telling the truth, which contradicts the given information.

If none of the five people were telling the truth, each person's claim of sitting between two liars would be false. However, this also contradicts the given information.

Given these two possibilities, we can conclude that there must be a combination of truth-tellers and liars among the five people.

Considering the options given:

A. 0: This suggests that none of the people are telling the truth. However, this contradicts the given information that some people always tell the truth.

B. 1: This suggests that only one person is telling the truth. In this case, this person's claim of sitting between two liars would be true, while the claims of the other four people would be false. This option aligns with the given information and is a valid possibility.

C. 2, D. 3, E. 4: These options suggest that multiple people are telling the truth. However, if more than one person tells the truth, their claims of sitting between two liars cannot all be true.

Based on the analysis, the answer is:

B. 1 - Only one of the five people is telling the truth.

To know more about  equation  here

https://brainly.com/question/29174899

#SPJ2

1.A

2.C

3.C

4.C

5.C

6.B

7.D

8.C

Unit 4 Lesson 9 100%

Step-by-step explanation: Short answers you have to look up

If ABCDE is a regular pentagon and diagonals EB and AC intersect at O, then the degree measure of angle EOC is 108°.

In Mathematics and Geometry, the sum of the interior angles of both a regular and irregular polygon is given by this formula:

Sum of interior angles = 180 × (n - 2)

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

Sum of interior angles = 180 × (5 - 2)

Sum of interior angles = 180 × 3

Sum of interior angles = 540°.

Therefore, the measure of each interior angle is given by;

Interior angle of a pentagon = 540°/5

Interior angle of a pentagon = 108°

From triangle EAO, we have:

2m∠EOA = 180° - (54 + 54)°

m∠EOA = 72°/2

m∠EOA = 34°

Now, we can determine the measure of angle EOC;

m∠EOC = 180° - (34 + 34)°

m∠EOC = 108°

The 40th term of the arithmetic sequence 21,18,15,12,9.. is -96

using Arithmetic progression formula,

a = first term = 21

common difference =  d = 18 - 21 = - 3

Therefore,

aₙ = a + (n - 1)d

a₄₀ = 21 + (40 - 1)-3

a₄₀ = 21 +(39)(-3)

a₄₀ = 21 - 117

a₄₀ = -96

learn more: https://brainly.com/question/25129817?referrer=searchResults

Answer:

B ) ellipse.Domain: { -4 ≤ x ≤ 4 }Range: { -3 ≤ y ≤ 3 }

posted whole test on jiskha under RandomSophomore

The equation [tex]\(9x^2 + 16y^2 = 144\)[/tex] represents an ellipse. Its domain is \([-4, 4]\) and its range is \([-3, 3]\).

The equation [tex]\(9x^2 + 16y^2 = 144\)[/tex] represents an ellipse. To identify its domain and range, we need to understand its shape and orientation.

Step 1: Standard Form of an Ellipse

The standard form of an ellipse with its center at the origin is [tex]\( \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \)[/tex], where \( a \) and \( b \) are the semi-major and semi-minor axes lengths, respectively.

Step 2: Compare Equations

Comparing the given equation [tex]\( 9x^2 + 16y^2 = 144 \)[/tex] with the standard form, we see that [tex]\( a^2 = \frac{144}{9} = 16 \)[/tex] and [tex]\( b^2 = \frac{144}{16} = 9 \).[/tex]

Step 3: Determine Axis Lengths

This means the semi-major axis length \( a \) is [tex]\( \sqrt{16} = 4 \)[/tex]and the semi-minor axis length \( b \) is [tex]\( \sqrt{9} = 3 \).[/tex]Step 4: Shape of the Ellipse

Since \( a > b \), the ellipse is stretched more horizontally than vertically, meaning it's wider than it is tall.

Step 5: Domain and Range

The domain of the ellipse is determined by the values of \( x \) and the range by the values of \( y \). For this ellipse, the \( x \)-values vary from \( -4 \) to \( 4 \) (domain), and the \( y \)-values vary from \( -3 \) to \( 3 \) (range).

Therefore, the domain is \([-4, 4]\) and the range is \([-3, 3]\).

The correct answer is 28 ways.

Please give me brainiest and have a great day.

Answer:

Hence, we can form a group of three wolves in:

28 ways.

Step-by-step explanation:

We are given:

Nine wolves, eight female and one male.

We have to release three at a time also the male wolf is to be in the first released group and order does not matter

Then we have to choose 2 female wolves out of 8

as the order does not matter so we have to use combination

Hence, it is given as:

[tex]8_C_2=\dfrac{8!}{2!\times (8-2)!}\\\\8_C_2=\dfrac{8!}{2!\times 6!}\\\\8_C_2=28[/tex]

Hence, we can form a group of three wolves in:

28 ways.

Answer:

SAS postulate

Step-by-step explanation:

Triangle ABD equal to triangle CBD.

The postulate that justifies the congruence is - Side angle side.

The Side Angle Side postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

Here, AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.

AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.

Triangle ABD equal to triangle CBD.

The postulate that justifies the congruence is - Side angle side

The Side Angle Side postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

Here, AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.

Answer:

His gross pay would be reduced $174.66.

Step-by-step explanation:

Gross pay of Marquis = $816

His withholding are :

Federal tax = $92.00

Social security tax = 6.2% of $816

                               = 0.062 × 816

                               = $50.592

Medicare tax      = 1.45% × 816

                           = 0.0145 × 816

                           = $11.832

State tax            = 22% × 92

                          = 0.22 × 92

                         = $20.24

Total withholding = 92 + 50.59 + 11.83 + 20.24

                             = $174.66

His net pay = $816 - $174.66 = $641.34

His gross pay would be reduced $174.66

Final answer:

The expression 16x^2+8x in factored form is 8x(2x + 1), obtained by factoring out the greatest common factor, which is 8x.

Explanation:

To factor the expression 16x^2+8x, we look for common factors in each term. Here, we can see that both terms contain a power of x and the number 8 is a common factor. We can factor out 8x from each term.

Step-by-step, this looks like:

We've now expressed the original expression in factored form.

9:27

she caught it just add 38 MINSA

The options of the question are

A.)BFC B.)CFG C.)GFD D.)EFA

we know that

A linear pair forms a straight angle which contains [tex] 180 [/tex]º, so you have [tex] 2 [/tex] angles whose measures add to [tex] 180 [/tex] degrees, which means they are supplementary.

Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines).Vertical angles are congruent

in this problem

Part a) Linear Pair

1) m∠EFA+m∠EFD=[tex] 180 [/tex]°

angles ∠EFA and ∠EFD are a linear pair

2) m∠BFD+m∠EFD=[tex] 180 [/tex]°

angles ∠BFD and ∠EFD are a linear pair

3) m∠BFD+m∠BFA=[tex] 180 [/tex]°

angles ∠BFD and ∠BFA are a linear pair

4) m∠BFA+m∠AFD=[tex] 180 [/tex]°

angles ∠BFA and ∠AFD are a linear pair

Part b) Vertical angles

1) m∠EFA=m∠BFD

angles ∠EFA and ∠BFD are a vertical angles

2) m∠AFB=m∠EFD

angles ∠AFB and ∠EFD are a vertical angles

therefore

the answer is the option

D.) EFA

the cone = 150.8

the cylinder= 301.6   the cones volume is 2x smaller than the cylinders volume. two cones equal one cylinder.