What is the measure of ∠3?
Question 2 options:

56°

73°

51°

107

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

Formula :

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

Volume = Length x Width x Height

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

Find volume :

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

[tex]Volume=6 \frac{2}{3} *2*2[/tex]  

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

Change to improper fractions :

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

[tex]Volume=\frac{18}{3}*\frac{2}{1} *\frac{2}{1}[/tex]

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

Combine into single fraction :

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

[tex]Volume=\frac{24}{1}[/tex]

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

Simplify:

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

[tex]Volume=24[/tex]

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

Answer: Volume = 24 cm³ (Answer B)

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

Answer:

2.50x + 3.75y = 33.75

Step-by-step explanation:

Step-by-step explanation:

Sum of interior angles of a polygon

180°(n−2)

When n=10,

Sum of interior angles of a polygon

180°(n−2)

=180°(10−2)

=1440°

Therefore, Each interior angle of a regular heptagon measures 1440/10=144°

Sum of interior angles of a polygon

180°(n−2)

When n=7,

Sum of interior angles of a polygon

180°(n−2)

=180°(7−2)

=900°

Therefore, Each interior angle of a regular heptagon measures 900/7=128.6°

Answer:

24

Step-by-step explanation:

72=2*2*2*3*3

96=2*2*2*2*2*3

Hcf=2*2*2*3=24#

Answer: (-7, -3)

Step-by-step explanation: Reflection across y axis changes the sign of the x coordinate only

The income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue and has a workforce of 9,416,534.

It is defined as the tax rate applied on the solely earned money by a single entity.

Algeria has a workforce of 9,416,534

Each entity average annual salary = $6,844

The raise in tax revenue = $ 9 bilion

To find the income tax rate we must find the total income of the workforce,

= 9,416,534×6844

= $64.45 billion

Now for income tax:

[tex]\rm = \frac{Tax \ revenue}{Total \ income}[/tex]

[tex]=\rm \frac{9 \ billion}{64.45 \ billion}\times 100[/tex]

≈ 14 %

Thus, the income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue.

Learn more about the income tax here:

https://brainly.com/question/17075354

Using proportions, it is found that the cost of 1 gallon of water, rounded to the nearest cent, is of $0.05.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that he uses 3.5 x 10 = 35 gallons for a 10 minute shower, which costs $1.9. Hence the cost of a gallon is of:

$1.9/35 = $0.05.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer: The mean of Mike's scores is less than the mean of Tim's scores- True   The range of Mike's scores is less than the range of Tim's scores- False  The median of Mike's scores is less than the median of Tim's scores-  True

Step-by-step explanation:

Answer:

1302

Step-by-step explanation:

Answer:

2: 142.5

3: 42

Step-by-step explanation:

Remark

Problem 2

The diagonals of a kite meet at right angles. They also bisect each other. So the two triangles on the left and right side of the kite are congruent.

Because the smaller diagonal is bisected, you need only find the area of 1 of the triangles and double it.

1/2 of the smaller diagonal is the altitude of the triangle. The base is the other larger diagonal.

Solution

Area of the left triangle

Givens

altitude = 7.5

Base = 14 + 5 = 19

formula

Area = 1/2 * B * h

Solution

Area = 1/2 * 19 * 7.5

Area = 71.25

But there are 2 such triangles

Area of both = 71.25 * 2 = 142.5

Answer: A

Problem 3

Remark

The way they have given you the problem, you could be easily fooled. The 2 does not help you at all.

A parallelogram has an area of B * h. Those are the two numbers you use.

Givens

Base = 6

height = 7

Formula

Area = B * h

Solution

Area = 6*7

Area = 42

Answer: Area = 42m^2

The volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches

The formula for calculating the volume of cylinder is expressed as:

V = πr²h

where

r is the radius

h isthe height

Given the following parameters

h = 15in

r = 6in

substitute

V =  6^2 * 15π
V  = 540 π cubic inches

Hence the volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches

Learn more on volume of a cylinder here: https://brainly.com/question/9554871

Answer:

b

Step-by-step explanation:

Applying the law of cosines, the measure of angle Y in the image below, to the nearest whole degree, is: B. 64°

Law of cosines is given as: y² = x² + z² – 2xz(cosY)

Given the following:

x = 12

y = 16

z = 17

Y = ?

Apply the law of cosines:

16² = 12² + 17² – 2(12)(17)(cosY)

256 = 433 - 408(cos Y)

256 - 433 = -408(cos Y)

-177 = -408(cos Y)

-177/-408 = cos Y

Y = cos^(-1)(177/408)

Y ≈ 64°

Learn more about law of cosines on:

https://brainly.com/question/7872492

Answer:

20.25 × pi cm²

Step-by-step explanation:

the circumference of a circle is

2×pi×r

with r being the radius.

in our case

9×pi = 2×pi×r

9 = 2r

r = 9/2 = 4.5 cm

the area of a circle is

pi×r²

in our case that is

pi×(4.5)² = 20.25 × pi cm²

Answer:

the answer is y=4

Step-by-step explanation:

the left drawing is a law , and is always true . and on the right side i showed you how i got to the answer.

A function that represents the number of minutes it takes to deliver x newspapers is y = 12 + 2x/3.

The function that represents the number of minutes it takes to deliver x newspapers is: total minutes = time it takes to orgainse the newspapers + time it takes to deliver x newspapers

Time it takes to orgainse the newspapers = 12 minutes

Time it takes to deliver x newspapers = 2x / 3

y = 12 + 2x/3

To learn more about functions, please check: https://brainly.com/question/26382648

#SPJ1

Answer:

140

Step-by-step explanation:

Its in a answer key pdf

Answer:

n = the number of necklaces Natasha sells

Answer:

[tex]m\angle FGC =101\degree [/tex]

Step-by-step explanation:

[tex]m\angle CBF = 46\degree[/tex] (Given)

[tex]m\angle FIG = 55\degree[/tex] (Given)

[tex]m\angle IFG = m\angle CBF[/tex] (Corresponding angles)

[tex]\implies m\angle IFG = 46\degree[/tex]

[tex]m\angle FGC =m\angle IFG+ m\angle FIG[/tex]

(By exterior angle theorem)

[tex]m\angle FGC =46\degree+ 55\degree [/tex]

[tex]m\angle FGC =101\degree[/tex]

Here

Using the formula

sum of interiors=external

Answer:

$250

Step-by-step explanation:

50+100n= 50+100(2)= 50+200=250

Sincerest Apologies if this is incorrect

Answer:

8 home games and 10 away games

Step-by-step explanation:

Total home goals

= 8 +5 +9 +8 = 30

Number of home games

= 30/3.75 = 8

Total away game goals

= 7 + 8 + 4 + 5 = 24

Number of away games

= 24/2.4 = 10

Easy Peasy :) Hope this helped! <3 brainliest please :)

[tex]\dfrac{276.5}{7.9}\\\\\\=\dfrac{276.5 \times 10}{7.9 \times 10}\\\\\\=\dfrac{2765}{79}\\\\\\=\dfrac{79 \times 35}{79}\\\\\\=35[/tex]

Answer:

0.8679.

Step-by-step explanation:

Answer:

$4.99 + .30X

Step-by-step explanation:

The base price is 4.99

then you have to add the additional .30 for each ounce the package weighs.

The weight is unknown, so I used X. It will be .30 multiplied by x

The required area of a sector with an arc of 40 cm and a radius of 12 cm is given as 240 cm².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
Sectoral area = arc / 2 × radius
Sectoral area = 40 / 2 × 12

                    = 20 × 12 = 240 cm²

Thus, the required area of a sector with an arc of 40 cm and a radius of 12 cm is given as 240 cm².

Learn more about the surface area here:

https://brainly.com/question/2835293

#SPJ2

The total cost for five years of her rent is less than she buys the townhome. Then the correct option is C.

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

Marquet is relocating to an area where she will be attending college.

She finds a townhome with an option to rent or buy.

The conditions of each are shown below.

rent: move-in cost of $1,350 and monthly payment of $795.

buy: move-in cost of $8,235 and monthly payments of $750.

Marquet plans to stay in the area for the 5 years it will take her to get a graduate degree, so she decides to buy.

The total cost for five years when she rents.

→ 1350 + 795 × 12 × 5

→ $49,050

The total cost for five years when she buys.

→ 8235 + 750 × 12 × 5

→ $53,235

She made a poor decision if the property value does not increase. renting the townhome would be cheaper over the 5 years period.

More about the decision-making link is given below.

https://brainly.com/question/3369578

Answer:

c. she made a poor decision if the property value does not increase. renting the townhome would be cheaper over the 5 year period.

Step-by-step explanation:

edge

Answer:

3.2

Step-by-step explanation:

I'm guessing you want to find the value of D.

so,

-0.4 = 3d -10

3d = 9.6

d = 3.2

Answer: 3.2

Step-by-step explanation:

-0.4= 3d + (-10)

-0.4= 3d -10

add 10 to both sides

9.6 =3d

d= 9.6/3

d = 3.2

Answer:

The question you are asking is a bit unclear but I might be able to offer some insight.

2(l + w) is sometimes used as the formula for the perimeter of a rectangle.

If l represents the length and w represents the width, then the perimeter (sum of the sides) is l + w + l + w.

This simplifies algebraically as 2l + 2w and can be factored into 2(l + w).  

So, to find the perimeter of the rectangle you must double the sum of the length and width.

Not sure if I helped, but finger crossed!!  :)

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Step 1:  Compare the sides

We can see that it was rotated in a way where Y is similar to R, X is similar to Q, and Z is similar to S.

[tex]\frac{SQ}{XZ }\neq \frac{QR}{XY} \neq \frac{RS}{YZ}[/tex]

[tex]\frac{0.5}{1}\neq \frac{1}{1.5}\neq \frac{1.5}{2}[/tex]

[tex]0.5\neq 0.6667\neq 0.75[/tex]

Answer:  Option A

Answer:

13/50 or 26%

Step-by-step explanation:

there are 13 blue cards out of 50 so 13/50 or 26%