Type the expression that results from the following series of steps:

start with y, subtract 4, then times 9.​

The length of the major arc LNM, in terms of pi, is 29π/6 yards.

The circle has a radius of 3 yards and the central angle m∠LKM is 70°. Since the question asks for the length of the major arc LNM, we first need to calculate the angle of the major arc. The angle of a full circle is 360°, so the angle of the major arc will be 360° - 70° = 290°.

To find the arc length, we use the formula for arc length (l) which is: l = rθ (in radians). We must convert the angle from degrees to radians by multiplying by π/180. So, 290° becomes (290π/180) radians.

Now, compute the length of the major arc LNM: l = 3 yd * (290π/180) = (870π/180) yd, which simplifies to: 29π/6 yd. Thus, the length of the major arc LNM, in terms of π, is 29π/6 yards.

Answer:

3 feet

Step-by-step explanation:

Answer:

3 feet...

Step-by-step explanation:

Answer:

the answer is b.

Step-by-step explanation:

Answer:

n/5 +12

Step-by-step explanation:

Answer:

see the explanation

Step-by-step explanation:

The complete question is

The dimensions of the square pyramid are

Base: 40 inches

Height: 12 inches

step 1

Find the volume of the square pyramid

The volume of the square Pyramid is given by the formula

[tex]V=\frac{1}{3}b^2h[/tex]

where

b is the length side of the square base

h is the height of the pyramid

we have

[tex]b=40\ in\\h=12\ in[/tex]

substitute

[tex]V=\frac{1}{3}(40)^2(12)[/tex]

[tex]V=6,400\ in^3[/tex]

step 2

Find the volume of sand

Multiply the number of bags of sand by the volume of each bag

so

[tex]3(1,200)=3,600\ in^3[/tex]

step 3

Compare the volume of the sand with the volume of the square pyramid

3,600 < 6,400

therefore

Kaytlyn has not enough sand to build the castle

Answer:

3 : 6 : 1

Step-by-step explanation:

The common multiple between these numbers is 9, so divide everything by nine.

Answer:

3:6:1

Step-by-step explanation:

27/9=3

54/9=6

9/9=1

3:6:1

I hope this helps!

Answer:

24

Step-by-step explanation:

Answer:

24 points

Step-by-step explanation:

Answer:

a) [tex]\sqrt{64+x^2}[/tex]

b) 15

Step-by-step explanation:

a) We know that AB = 8 and BC = x. We can use the Pythagorean Theorem, which states that for a right triangle with sides a, b, and c: [tex]a^2 +b^2=c^2[/tex] , where a and b are the shortest sides and c is the longest.

Here, AB = a = 8 and BC = b = x. So, AC = c. Then:

[tex]AB^2+BC^2=AC^2[/tex]

[tex]8^2+x^2=AC^2[/tex]

[tex]AC=\sqrt{64+x^2}[/tex]

b) We know that AC - AB = 9. Since AB = 8, then AC = 9 + 8 = 17. We also have the expression from above, so set them equal:

[tex]AC=\sqrt{64+x^2}=17[/tex]

[tex]64+x^2=289[/tex]

[tex]x^2=225[/tex]

x = 15

Hope this helps!

Answer:

sqrt(x^2 +64) = AC

x = 15

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 =c^2  a and b are the legs and c is the hypotenuse

We know the legs are x and 8

x^2 + 8^2 = AC^2

x^2 + 64= AC^2

Solving for AC

Take the square root of each side

sqrt(x^2 + 64) = sqrt(AC^2)

sqrt(x^2 +64) = AC

We are given AC - AB = 9

We know AB = 8

AC -8 =9

Add 8 to each side

AC -8+8 = 9+8

AC = 17

AC is the hypotenuse,

x^2 + 64= AC^2

x^2 +64 = 17^2

x^2 +64 = 289

Subtract 64  from each side

x^2 +64-64 = 289-64

x^2 =225

Take the square root

sqrt(x^2) = sqrt(225)

x =15

Answer:

[tex]\frac{70}{sin40^{\circ}}[/tex]

Step-by-step explanation:

We are given that

Height of the kite from the ground=h=70 feet

[tex]\theta=40^{\circ}[/tex]

We have to find the length of kite string in term of trigonometric ratios.

Let length of string=x

We know that

[tex]sin\theta=\frac{Perpendicular\;side}{hypotenuse}[/tex]

Using the formula

[tex]sin40^{\circ}=\frac{h}{x}[/tex]

[tex]sin40^{\circ}=\frac{70}{x}[/tex]

[tex]x=\frac{70}{sin40^{\circ}}[/tex]

Hence, the length of kite string=[tex]\frac{70}{sin40^{\circ}}[/tex]

Answer:

2401

Step-by-step explanation:

7 * 7 * 7 * 7 = 2401

Answer:

The projected world population in 1998 is 6,216,871,541.95

Step-by-step explanation:

Here we have the formula for exponential growth given by

A = P(1 + r)^t

Where:

A = Population at the end of the time period

P = Population at the start of the time period

r = Rate percent of population growth

t = Time period of interest

Therefore, given r = 2% = 2/100 = 0.02, P = 5,000,000,000;

t = year 1998 - year 1987 = 11 years

We have

A = 5,000,000,000 ×[tex](1+0.02)^{11}[/tex]= 6,216,871,541.95

≈ 6.2 billion.

To find the projected world population in 1998, we can use the exponential growth model. The initial population in 1987 was 5 billion with a growth rate of 2% per year. By applying the formula, the projected population in 1998 is estimated to be approximately 6.255 billion.

To find the projected world population in 1998, we can use the exponential growth model. The formula for exponential growth is P = P0 * (1 + r)t, where P is the final population, P0 is the initial population, r is the growth rate, and t is the number of years.

In this case, the initial population (P0) in 1987 was 5 billion, the growth rate (r) was 2 percent per year, and we want to find the population in 1998, which is 11 years later.

Using the formula, we can calculate the projected population in 1998 as follows:

Therefore, the projected world population in 1998 would be approximately 6.255 billion.

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Answer:

45ft

Step-by-step explanation:

The remaining piece has to be found. How far away is the end of the pole from the base of the pole along the ground.

We deduct original to broken 81-28 = 53 feet tall.  

PT + to find the other side.

53^2 - 28^2 = S^2

√2025 = 45 = S^2

S^2 = 45ft

Answer:

$ 2.50

This is the right answer for ed2020

Answer:

$2.50

Step-by-step explanation:

Bc yeah <3

Answer:

3:20 pm.

Step-by-step explanation:

Time Yasmin got home: 4:25

Time it took to walk home: 15 minutes

Practice started: 20 minutes after bell.

Practice lasted for 30 minutes.

For us to find this out, you have to calculate all the activities.

An hour is 60 minutes.

A half hour is 30 minutes.

15 + 20 + 30 = 65 minutes.

65 minutes = an hour and five minutes.

4:25 - 1:05 = 3:20.

Feel free to let me know if you need more help! :)

Answer:

3:20 p.m

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The formula to calculate the volume of the cone is π/4(1/3 x 4r²h).

The correct option is D.

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.

Given:

In the derivation of the formula for the volume of a cone,

the volume of the cone is calculated to be π/4 times the volume of the pyramid that it fits inside.

The volume of the cone,

= π/4 (the volume of the pyramid)

= π/4 (1/3 x the base area x height)

= π/4(1/3 x 2r x 2r x h)

= π/4(1/3 x 4r²h)

Therefore, the volume is π/4(1/3 x 4r²h) cubic units.

To learn more about the pyramid;

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The complete question is given in the attached image.

Answer:

letter C

Step-by-step explanation:

She substitue the X-Intercept, (3,0), for B

#brainliestisthekey

Answer:

20

Step-by-step explanation:

Hi there,

To find the least common multiple (LCM) of 2 numbers, I would recommend listing off a few multiples of each number. Since they are small, it shouldn't be too hard.

Multiples of 4:

4, 8, 12, 16, 20

Multiples of 5:

5, 10, 15, 20

As you can see, the first multiple that 4 and 5 both share is 20. So the least common multiple of 4 and 5 20.

Answer:

5.5%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

[tex]r=\frac{I}{Pt}[/tex]

I = interest amount

P = principal amount

t = time (years)

The first step is to find the interest gained from the investment.

[tex]3,123.75-2,450=673.75[/tex]

Next, plug in the values into the equation:

[tex]r=\frac{673.75}{(2,450)(5)}[/tex]     Multiply the bottom values

[tex]r=\frac{673.75}{12,550}[/tex]         Divide the values

[tex]r=.055[/tex]

The last step is to convert 0.055 into a percent:

[tex]0.055(100)=5.5[/tex]

The interest rate is 5.5%

Answer:

The correct option is;

a. F is the midpoint of [tex]\overline{AA'}[/tex] because line [tex]\overline{EG}[/tex] bisects [tex]\overline{AA'}[/tex]

Step-by-step explanation:

Here, since we have that the triangle is reflected across EG therefore the location of the point F which is along EG bisects the line [tex]\overline{AA'}[/tex] as the  dimensions of the line from A to F must be equal to the dimension of the line that extends from A' to F

Therefore the point F is the midpoint of [tex]\overline{AA'}[/tex] because line [tex]\overline{EG}[/tex] bisects [tex]\overline{AA'}[/tex].

Answer:

A

Step-by-step explanation: i got it right on edge

Step-by-step explanation:

a. 6 * (-3) = - 18

b. (-5) * 4 = - 20

c. (-9) * (-2) = 18

Step-by-step explanation:

Hello there!

Solve for x:

-3x(x-8)-7x=12

-3x^2+24x-7x=12

-3x^2+17x+12=0

Can you factor it further?Feel free to ask questions in the comments.

:)

Answer:

0 < p < 0.075

Step-by-step explanation:

Solution:-

According to the rule of three, when we have a sample size = n.

and x = 0 successes ( The lowest possible value of true population proportion ). Then we are 95% confident that the upper bound of the true population proportion is given by:

                                      3 / n

If n = 40 couples use a method of gender selection and each couple has a baby​ girl, the the possibility of successes is zero. This calls on for the use of Rule of three to determine the upper bound for the true population of couple having a baby girl.

- The 95 % upper bound for true population proportion of all the babies born are girl is determined by:

                                   p = 3 / n = 3 / 40

                                   p ≈ 0.075

- The number of successes were = 0, hence the lower bound for the population proportion is 0 and the upper bound was calculated above. Hence,

                                  0 < p < 0.075

- The range of true population proportion.

the proportion of all babies who are​ boys is 0 < p < 0.075

Here we know that the 95% confident that the upper bound of the true population proportion is provided by 3 by n

Since n be 40 couples

So, here the proportion should be

[tex]p = 3 \div n = 3 \div 40[/tex]

p ≈ 0.075

And, The number of successes were = 0

So, the proportion should be 0 < p < 0.075

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Answer:

36 feet squared

Step-by-step explanation:

Finding the perimeter of an object is adding all of the sides together. If the width of the rug is 6 feet then we know that there are two sides that length. Add those together.

6 feet + 6 feet = 12 feet

You would subtract the number you get from the perimeter.

24 feet - 12 feet = 12 feet

And then divide the number by the number of sides left, 2, to get each of their lengths.

12 feet / 2 feet = 6 feet

To find the area of a rectangle you multiply length times width, which in this case both are 6 feets.

6 feet x 6 feet = 36 feet squared

Answer:

(m+5) (m-9) = 0

Step-by-step explanation:

An equation with solutions of m = –5 and m = 9 is y = m² − 4m − 45.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation.

Given that, the solutions of an equation are m = -5, and m = 9, we need to find the equation,

(m + 5) (m - 9) = 0

One possibility is that of a quadratic equation.

y = (m + 5) (m - 9)

y = m² - 9m + 5m - 45

y = m² - 4m - 45

Hence, an equation with solutions of m = –5 and m = 9 is y = m² − 4m − 45.

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Answer:

1)

90g strawberry jelly

6 sponge fingers

315ml custard

135g tinned fruit

2) 260 cm²

Step-by-step explanation:

1) 120/4 × 3

90g strawberry jelly

8/4 × 3

6 sponge fingers

420/4 × 3

315ml custard

180/4 × 3

135g tinned fruit

2) area = base × height

= 20 × 13

= 260 cm²

Answers and Step-by-step explanations:

1. Let's find the amount of each ingredient we need for 1 person, and then multiply that by 3 later.

strawberry jelly: we have 120 grams for 4 people, so for 1 person, we need 120/4 = 30 grams

sponge fingers: we have 8 of these for 4 people, so for 1 person, we need 8/4 = 2 sponge fingers

custard: we have 420 mL for 4 people, so for 1 person, we need 420/4 = 105 mL

tinned fruit: we have 180 grams for 4 people, so for 1 person, we need 180/4 = 45 grams

Now, multiply each of these by 3 to find the amount needed for 3 people:

strawberry jelly: 30 grams * 3 = 90 grams

sponge fingers: 2 sponge fingers * 3 = 6 sponge fingers

custard: 105 mL * 3 = 315 mL

tinned fruit: 45 grams * 3 = 135 grams

2. The area of a parallelogram is calculated by the formula: A = Bh, where B is the base length (usually a side length) and h is the height perpendicular to the base. Here, we see that have two potential base lengths: 20 and 15. However, looking at the height, it's only perpendicular to the base with length 20, so we know that B = 20 and h = 13.

Plugging these into the formula, we get: A = 20 * 13 = 260 cm squared.

Hope this helps!

Answer:

70 degrees

Step-by-step explanation:

The adjacent angles in a parallelogram are supplementary and add to 180 degrees

∠CDE+∠DEF=180

We know that ∠CDE is 110 degrees, so we can substitute that in

∠CDE+∠DEF=180

110+∠DEF=180

Subtract 110 from both sides

∠DEF= 70

So, ∠E is 70 degrees

Answer:18472.6

use pie cylinder formula

Multiply the volume of the tub by 0.75 to find the volume of the water.

Step-by-step explanation:

To calculate the volume of water in the tub, you first find the radius of the cylinder, calculate the total volume, and then find 75% of that volume, finally converting the units if necessary and rounding to the nearest tenth, we get volume od water to be approximately 18451.2 cubic inches

To find the volume of water in the tub when it's 75% filled, we first need to find the volume of the entire tub and then multiply it by 75%.

The volume \ V  of a cylinder is given by the formula:

[tex]\[ V = \pi r^2 h \][/tex]

where:

-  r  is the radius of the cylinder,

-  h  is the height of the cylinder.

Given:

- Diameter  d = 28 inches, so radius [tex]\( r = \frac{d}{2} = \frac{28}{2} = 14 \)[/tex] inches,

- Height  h = 40 inches.

Substituting these values into the formula:

[tex]\[ V = \pi \times (14)^2 \times 40 \]\[ V = \pi \times 196 \times 40 \]\[ V = 7840\pi \, \text{cubic inches} \][/tex]

Now, to find the volume when the tub is 75% filled, we multiply the volume of the entire tub by 75% (or 0.75):

[tex]\[ \text{Volume of water} = 0.75 \times 7840\pi \, \text{cubic inches} \]\[ \text{Volume of water} = 5880\pi \, \text{cubic inches} \][/tex]

Now, let's compute the value:

[tex]\[ \text{Volume of water} \approx 5880 \times 3.14 \, \text{cubic inches} \]\[ \text{Volume of water} \approx 18451.2 \, \text{cubic inches} \][/tex]

Answer:

96

Step-by-step explanation:

160% is the same as taking the number times 1.6

1.6 x 60 = 96

Answer:

168

Step-by-step explanation:

Total entree = 6

Total slides = 4

Total drinks = 7

Lunch special includes 1 entree, 1 slide, and one drink.

Option for entree

= 6_(c_1 )

= 6

Option for slides

= 4_(c_1 )

= 4

Option for drinks

= 7_(c_1 )

= 7

So, total option ordering meal,

= 6*4*7

= 168

Answer:

44.057 to nearest hundredth

44.06