Mrs. Henson's rectangular afghan is 2 feet
longer than it is wide. If the afghan has an
area of 24 square feet, what is its width?
(Remember, the area of a rectangle is its
length times its width.)

Answer:

D, 10.28

Step-by-step explanation:

2+2+3.14x2/2+3.14x2/2=10.28

Answer:

10.28 in

Step-by-step explanation:

r = 2in/2 = 1in

P = 2π·r + 2·l

= 2×3.14×1in + 2×2in

= 6.28in + 4in

= 10.28 in

Sample Response: Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded to the nearest hundreth.

Answer:

Sure! But I need to see the questions to answer them.

~Lexi

Answer:

Sure I can.

Step-by-step explanation:

Just post what questions you need checking, and I'll try to the best I can.

Step-by-step explanation:

Step 1:  Factor

[tex]b^2 + 5b + 6[/tex]

[tex]b^2 + 3b + 2b + 6[/tex]

[tex](b + 3)(b + 2)[/tex]

Answer:  [tex](b + 3)(b + 2)[/tex]

(b + 2) (b + 3)

Step-by-step explanation:

b² + 5b + 6

Known :

a = 1

b = 5

c = 6

Asked :

Factorise b² + 5b + 6 = ...?

Answer :

p × q = c

p + q = b

So :

p × q = 6

2 × 3 = 6

p + q = 5

2 + 3 = 5

So, p = 2 & q = 3

So, factorise b² + 5b + 6 is (b + 2) (b + 3)

Hope it helpful and useful :)

Answer:

1 2/7 just multiply

Step-by-step explanation:

Answer:

a = 40 if simplified :)

Answer:

Dear mate your answer is 40...

Answer:

Step-by-step explanation:

Rhombus is a two dimensional shape. So it doesn't have volume.

Area of rhombus = (pq)/2

Here p & q are the diagonals

Answer:

x= -1

Step-by-step explanation:

1-3x=x²+6x+9

1-3x-x²-6x-9=0

-8-9x-x²=0

x²+9x+8=0

x²+8x+x+8=0

(x+8)(x+1)=0

x+8=0

x+1=0

sqrt 1-3(-8)=-8+3

sqrt 1-3(-1)=-1+3

5=-5

2=2

x≠8

x=-1

Your answer would be 1/8.

The probability for getting a tail one time would be 1/2 because there are only 2 sides of a coin. Since tossing one coin doesn't affect the outcome of tossing the other coins, the probability for getting a tail on all of the coins is 1/2 each. We want this to happen 3 times, so the answer would be 1/2 × 1/2 × 1/2 = 1/8.

I hope this helps!

Answer:

1/2 x 1/2 x 1/2 = 1/8

1/8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Let the number be X

condition

12 more than seven times the number

it can be represented numerically by using process given belwo

seven times the number will be 7 * X = 7X

12 more than 7X will be equal to 7X + 12

______________________________

This number (7X + 12) is equal to number plus 19

number plus 18 will be X + 18

therefore according to the question

7X + 12  = X + 18

=> 7X - X = 18 - 12

=> 6X = 6

=> X = 6/6 = 1 (Answer)

The number is 1.

Answer:True

Step-by-step explanation: The smaller triangle is half as small

The triangles are similar, so this is true.

The blue triangle has been enlarged by a scale of 2. It's 4 units up and 2 units to the right and the second larger triangle is 8 units up and 4 to the right, so it's 2 times bigger.

I hope this helps :)

Answer:

the graph  that represents the compound inequality –3 < n < 1 is the straight line from -3 to 1 in which there is a hollow circle in the -3 point and in the 1 point. This is because < means that the possible values of n is only greater than -3 exluding -3 and less than -1 excluding -1

Answer:

is d

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

5=15 and d8=170=which of the following is closest to the value of fb

The value of b is closest to (2) 2.25

An exponential function is represented as:

[tex]f(x) = a(b)^x[/tex]

[tex]f(5) = 15[/tex] means that:

[tex]ab^5 = 15[/tex] ---- equation (1)

[tex]f(8) = 170[/tex] means that:

[tex]ab^8 = 170[/tex] ---- equation (2)

Divide equation (2) by equation (1)

[tex]\frac{ab^8}{ab^5}= \frac{170}{15}[/tex]

Divide common factors

[tex]b^3= 11.33[/tex]

Take the cube root of both sides

[tex]b= \sqrt[3]{11.33}[/tex]

Evaluate the expression

[tex]b= 2.246[/tex]

2.246 can be approximated to 2.25

Hence, the value of b is closest to (2) 2.25

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer:

4?

Step-by-step explanation:

Answer:

The mean is 15 so adding another 15 keeps the mean unchanged.

Step-by-step explanation:

Answer:

13.) tanC=40/30

14.) tanA=21/20

15.) tanC=12/35

16.) tanX=30/40

17.) sinZ=12/37

18.) sinZ=30/50

Final answer:

Trigonometry focuses on the ratios between sides and angles of right-angled triangles. Ratios are used to maintain relationships between quantities in scaled models or mathematical problems. Practicing these calculations aids in mental math and practical applications.

Explanation:

Practice Writing Trig Ratios

Trigonometry involves understanding the relationship between the angles and sides of right angled triangles. These trigonometric ratios, which include sine, cosine, and tangent, are essential in connecting angles to their respective side lengths. They are ratios and thus dimensionless, meaning they have no units. These calculations become easier with practice, allowing one to approximate and compute them mentally.

When dealing with practical problems, such as scaling distances for a model or building, it is common to write proportions to maintain the relationships between lengths and widths. For example, if you have a scale that says 1 inch on the model represents 10 feet in reality (inches/feet = 1/10), you would write a ratio that respects this scale. Similarly, if comparing areas, you would establish a ratio outlining how one area relates to the other based on their respective dimensions.

It is also valuable to familiarize oneself with the functions of a calculator by experimenting with various operations such as squaring, square roots, trigonometric functions, and logs. This helps in comprehending the interconnectedness of these mathematical concepts and their practical application.

Answer:

10

Step-by-step explanation:

Area of a triangle is

A = [tex]\frac{1}{2}[/tex]bh

A = [tex]\frac{1}{2}[/tex] 5 x 4

A = [tex]\frac{1}{2}[/tex] 20

A = 10

For the second image you find the area of the poster

5 x 3 = 15

15 ÷ $2 = 7.5 = $7.50

Sorry if its wrong

Answer:

1,050

Step-by-step explanation:

Answer:

1050 feet

Step-by-step explanation:

The submarines location is 800 feet below which is -800 and the drones location is 250 feet above which is just 250. To get to -800 from 250 you subtract 1050 so the total distance is 1050.

Answer:

y = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 9, 5)

m = [tex]\frac{5-5}{-9-7}[/tex] = [tex]\frac{0}{-16}[/tex] = 0

This means the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (7, 5) and (- 9, 5) with y- coordinates 5, thus

y = 5 ← equation of line

Answer:

12

Step-by-step explanation:

We know 5 in the midpoint and P = -2. Point P is 7 points away (5--2=7). Then to find the point Q you add 7 to 5 which equals 12.

Answer:

its B

Step-by-step explanation:

i got it right on USA TEST PREP

The roles of three levels of craftspeople in a shoemaker’s shop are Master Craftsman, Journeyman and Apprentice.

The three levels of craftspeople you might find in a shoemaker’s shop and their duties are:

Master Craftsman: Oversees the entire shoemaking process, creates designs, and ensures quality.

Journeyman: Skilled worker who assists the master craftsman, carries out specific tasks like cutting leather or stitching, and trains apprentices.

Apprentice: Learns the trade under the guidance of the master craftsman and journeyman, performs basic tasks to gain experience.

Answer:

t = -24*log(2/3)

Step-by-step explanation:

The expression is:

V = 22,500*10^(-t/12)

Replacing with V = 10,000 and isolating t, we get:

10,000 = 22,500*10^(-t/12)

10,000/22,500 = 10^(-t/12)

4/9 = 10^(-t/12)

(2/3)² = 10^(-t/12)

2*log(2/3) = -t/12

-12*2*log(2/3) = t

t = -24*log(2/3)

Answer:

The number of years after purchase at which Vishal's car will be worth $10,000 is [tex]Log_{10}\left (\frac{9}{4} \right )^{12}[/tex]  years

Step-by-step explanation:

The relationship is given as follows

Value, V of the car = 22500×[tex]10^{-t/12}[/tex]

Therefore, when the car is $10,000 we will have

$10,000 = 22,500×[tex]10^{-t/12}[/tex]

Which will give;

[tex]\frac{10000}{22500} =\frac{4}{9} = 10^{-\frac{t}{12}}[/tex]

Hence;

[tex]Log\frac{4}{9} = Log(10^{-\frac{t}{12}} )[/tex]

Therefore;

[tex]-\frac{t}{12}\times Log_{10} 10 = Log\frac{4}{9}[/tex]

[tex]\because Log_{10} 10 = 1, \ we \ have; \ -\frac{t}{12} = Log_{10}\frac{4}{9}[/tex]

Which gives;

[tex]t = -12 \times Log_{10}\frac{4}{9} \ or \ t = Log_{10}\left (\frac{4}{9} \right )^{-12}[/tex]

[tex]\therefore t = Log_{10}\left (\frac{9}{4} \right )^{12}[/tex] years

Evaluated, the above equation becomes t = 4.226 years

Therefore, the number of years after purchase at which Vishal's car will be worth $10,000 = [tex]Log_{10}\left (\frac{9}{4} \right )^{12}[/tex]  years.

Answer:

The answer is 11 Hope this helps ;)

Step-by-step explanation:

To find out how many more pounds of apples Shannon bought compared to Bill, subtract the weight of Bill's apples from the weight of Shannon's apples. The most close estimate of how many more pounds Shannon bought is 2 1/4 pounds.

To find out how many more pounds of apples Shannon bought compared to Bill, we need to subtract the weight of Bill's apples from the weight of Shannon's apples.

Shannon bought 5 1/8 pounds of apples, which can be written as a mixed number as 5 + 1/8.

Bill bought 2 7/8 pounds of apples, which can be written as a mixed number as 2 + 7/8.

To subtract these mixed numbers, we can find a common denominator and then subtract the whole numbers and fractions separately.

Let's convert the mixed numbers into improper fractions and subtract:

The most closely estimate of how many more pounds of apples Shannon bought than Bill is 9/4 pounds or 2 1/4 pounds.

Answer:

12 months

Step-by-step explanation:

In a relay race with 4 runners covering a total distance of m miles, each runner will cover an equal share of the distance, specifically m ÷ 4 miles.

If there is a relay race with 4 runners and the total distance run is m miles, we want to find the distance each person runs. Since the total distance is divided equally among the 4 runners, we can express the distance each runner will run as:

The distance each runner runs = Total distance ÷ Number of runners

The distance each runner runs = m ÷ 4

This expression shows that each runner will run a quarter of the total distance m.

Answer:

The answer is 52°

Step-by-step explanation:

58°+70°+x=180

128°+x=180°

180°-128°

=52°

Answer:

B

Step-by-step explanation:

I think the answer is B as it is on the positive side.

The triangle LMN is a scalene triangle, and the area of the triangle LMN in the coordinate plane is 4 square units.

Below you can understand more about areas of triangle

A triangle is a shape that has 3 sides and 3 angles

Check below on how to determine the triangle area

The coordinates are given as:

L = (1,-1)

M = (3,2)

N = (1,3)

Calculate the length of side NL using:

NL = √[(x2 -x1)^2 + (y2 - y1)^2]

So, we have:

NL = √[(1 -1)^2 + (3 + 1)^2]

NL = √16

NL = 4

The altitude MP is 2 units.

So, the area is:

Area = 0.5 * NL * MP

This gives

Area = 0.5 * 4 * 2

Evaluate the product

Area = 4

Hence, the area of the triangle is 4 square units

Read more about areas at:

https://brainly.com/question/24487155