The length of a rectangle is 5 more than twice the width. Write an expression for the perimeter of a triangle.

A. 2x+5
B. 3x+5
C. 6x+10
D. 4x+10

Answer:

its cos:48/80

Step-by-step explanation:

cos-1(48/80)=53.13

For this case we have by definition of trigonometric relations that the cosine of an angle is given by the leg adjacent to said angle on the hypotenuse of the triangle. So:

[tex]Cos (Y) = \frac {64} {80} = \frac {32} {40} = \frac {16} {20} = \frac {8} {10} = \frac {4} {5}[/tex]

After simplifying we have to:

[tex]Cos (Y) = \frac {4} {5}[/tex]

ANswer:

[tex]Cos (Y) = \frac {4} {5}=0.8[/tex]

Check the picture below.

The measure of arc BC in a circle where the two chords, chord AD and chord AC are equal in measure, is 146°. Option C is correct.

The measure of arc made by parallel chord in a circle are equal in measure.

The arc made by chord BC is,

arc BC=8x-46°                  .....1

The arc made by chord AD is,

arc AD=5x+26°                 .......2

The chord AD and BC are equal. Thus, the arc made by them should be equal. Thus,

arc BC=arc AD

8x-46°=5x+26°

Simplify it further,

8x-46°=5x+26°

8x-5x=26+46

3x=72

x=(72/3)

x=24°

Put the value of x in equation 1,

arc BC=8x-46°

arc BC=8(24°)-46°

arc BC=192°-46°

arc BC=146°

Thus, the measure of arc BC in a circle where the two chords, chord AD and chord AC are equal in measure, is 146°. Option C is correct.

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Answer:

The minimum number of rolls to buy is 9

Step-by-step explanation:

step 1

Find the perimeter of the ceiling of Katie’s living room

The perimeter of a square is equal to

[tex]P=4b[/tex]

where

b is the length side of the square

we have

[tex]b=12\ ft[/tex]

so

[tex]P=4(12)=48\ ft[/tex]

step 2

Find the length side of the diagonals  of the ceiling

Applying Pythagoras theorem

[tex]d=\sqrt{12^{2} +12^{2}}\\ \\d=\sqrt{288}=16.97\ ft[/tex]

step 3

Find the total crepe paper needed

Sum the perimeter plus two times the length side of the diagonal

[tex]48\ ft+2*(16.97\ ft)=81.94\ ft[/tex]

step 4

Find the number of rolls needed

we know that

Each roll contain 10 ft of crepe paper

so

[tex]81.94/10=8.19\ rolls[/tex]

Round up

[tex]8.19=9\ rolls[/tex]

The minimum number of rolls to buy is 9

Final answer:

Katie needs to purchase 9 rolls of crepe paper to decorate her living room ceiling. The calculation includes both the perimeter and the diagonals of her square ceiling.

Explanation:

The ceiling of Katie’s living room is a square that is 12 ft long on each side. To calculate the amount of crepe paper she needs for the perimeter, we multiply the length of one side by 4, since a square has four equal sides: 12 ft × 4 = 48 ft. To calculate the length needed to hang crepe paper from corner to corner, we use the Pythagorean theorem for a square, which says the diagonal is equal to the side length multiplied by the square root of 2: 12 ft × √2 ≈ 12 ft × 1.414 ≈ 16.97 ft. Since there are two diagonals, we need twice this amount: 16.97 ft × 2 ≈ 33.94 ft. Adding the perimeter and diagonals, we get a total of 48 ft + 33.94 ft = 81.94 ft.

Each roll of crepe paper contains 10 ft. To find out the number of rolls needed, we divide the total footage by 10 ft per roll: 81.94 ft ÷ 10 ft/roll ≈ 8.194 rolls. Since Katie can't buy a fraction of a roll, she will need to purchase 9 rolls to have enough crepe paper to decorate her living room ceiling.

Answer:

probably 6////////////

Answer:

The answer is 6

Step-by-step explanation:

In a year there is 365 days.

From the first condition, 6x + 2 = to a unknown number of coins

From the second condition, 7x + 4 = to the same number of unknown coins.

The number which satisfies this given condition is 326 coins.

If we divide this number by 8 to share it among 8 students =

326 ÷ 8 = 40 coins/ student and 6 coins remaining. Therefore, the answer is

6 Coins

ANSWER

The explicit rule is

[tex]f(n) = 45+9n [/tex]

EXPLANATION

The given sequence is :

54,63,72,81,...

The first term of this sequence is

[tex]a = 54[/tex]

The common difference is

[tex]d =63 - 54 = 9[/tex]

The explicit rule is given by:

[tex]f(n) = a + d(n - 1)[/tex][tex]f(n) = 54+9(n -1 )[/tex]

We expand to get:

[tex]f(n) = 54+9n -9[/tex]

[tex]f(n) = 45+9n [/tex]

None of them is correct .

Answer:Neither Maxim nor Salma

Step-by-step explanation:

i just answered ed the question

Answer:

  51.3°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

  Tan = Opposite/Adjacent

For angle y, the opposite side is 10 cm, and the adjacent side is 8 cm. Then you have ...

  tan(y) = (10 cm)/(8 cm)

  y = arctan(1.25) ≈ 51.3402° ≈ 51.3°

Answer:it is false

Step-by-step explanation:

Since we are talking about inverse of a function. we would be dealing with reversal. An inverse function is function that reverses another function. Getting the inverse will require reversing the numerator and denominator. This means that the numerator becomes the denominator and the denominator becomes the numerator.

The function given is

y = 7x + 5

Let us solve to see whether the inverse is is y = x+5/7 is true or false

The numerator is 7x + 5 and the denominator is 1

The inverse becomes 1 / (7x + 5 )

So it is false

Answer:

the monthly payment is $303.69

Step-by-step explanation:

this is how i got it:

9,550 divided by 100= 95.5

95.5 x 3.18= 303.69

so the monthly payment it $303.69

Final answer:

To find Chico's monthly car payment, divide the total loan amount by $100 to determine the number of units and multiply by the monthly payment per unit, resulting in a monthly payment of $303.69.

Explanation:

The student's question relates to calculating the monthly payment of a car financing plan. To determine Chico's monthly payment for his car loan, we can use the provided information that each $100 of the loan requires a $3.18 monthly payment at an APR of 8.9%. Since Chico is financing $9,550, we first divide this amount by $100 to find the number of 'units' of $100 in the total loan amount. We then multiply that number by the monthly payment per $100 to find the total monthly payment.

Calculate the number of $100 units in the total loan amount: $9,550 / $100 = 95.5 units.

Multiply the number of units by the monthly payment per unit: 95.5 units * $3.18/unit = $303.69.

Therefore, Chico's monthly payment for the car would be $303.69.

Answer:

Monthly interest rate is r=0,004375

Monthly principal c=590,625

Step-by-step explanation:

Monthly interest payment rate :

[tex]r=\frac{5.25}{12}:100=0,0004375[/tex]

Now, we need to find monthly principal payment : [tex]c=\frac{rP}{1-(1+r)^{-N}}[/tex]

Use this rule : [tex]N=30*12=360[/tex]

P=108000

r=0,004375

[tex]c=\frac{0.004375*108000}{1-(1+0.004375)^{-360}} =\frac{472.5}{0.8}=590,625[/tex]

Answer: 596.38

Step-by-step explanation:

The difference between the x's -2 and 1 = 3

The difference between the corresponding f(x) values is 3 -0 = 3

The average rate of change is f(x) / x = 3/3 = 1

Answer:

Is needed [tex]452.32\ ft^{2}[/tex] of sheet metal to build this tank

Step-by-step explanation:

we know that

To find how much sheet metal is needed to build this tank including the top, calculate the lateral area of the cone plus the lateral area of the cylinder plus the area of the top of the cylinder

[tex]A=\pi rl+2\pi rh1+\pi r^{2}[/tex]

we have

[tex]r=5\ ft[/tex]

[tex]h1=8\ ft[/tex] ----> height of the cylinder

[tex]h2=6\ ft[/tex] ----> height of the cone

Find the slant height of the cone l

Applying Pythagoras Theorem

[tex]l^{2}=r^{2}+h2^{2}[/tex]

substitute

[tex]l^{2}=5^{2}+6^{2}[/tex]

[tex]l^{2}=61[/tex]

[tex]l=\sqrt{61}\ ft[/tex]

assume

[tex]\pi =3.14[/tex]

[tex]A=(3.14)(5)(\sqrt{61})+2(3.14)(5)(8)+(3.14)(5)^{2}[/tex]

[tex]A=122.62+251.2+78.5=452.32\ ft^{2}[/tex]

Answer:

  12,897.69 ft

Step-by-step explanation:

The cable is assumed to be the hypotenuse of a right triangle with side lengths 11520 ft and 5800 ft. Then the length of it (in feet) is ...

  cable length = √(11520² +5800²) = √166,350,400 ≈ 12,897.69 . . . feet

_____

Comment on the question

A cable that long will have considerable sag, so even an answer rounded to the nearest 10 ft is probably in error by quite a bit.

 Even though I'm late it's

5 | 2

6 | 4     7

7 | 4      6

8 | 1       7      9

9 | 3

10 | 8

11 | 4

Well that's what it was for mine, yours seems to be the same one as mine

The stem-and-leaf plot that represents the given data set is shown in the image attached below:

If 74, 75, 76 are data points in a given data set, 7 will be stem, while 4, 5, 6 will be the leaf on the stem-and-leaf plot.

Given the data set, 64,67,81,89,108,114,74,52,93,76,87, the stem-and-leaf plot of the data would be drawn as shown in the image attached below.

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Answer:

Jane had 20 stamps in the beginning

Step-by-step explanation:

* Lets study the information in the problem

- Jane has unknown numbers of stamps

- She gave 10 of them to her friend

- Her mom give her twice as many stamps as she had in the beginning

* To solve the problem let the unknown numbers of stamps = x

∵ Jane had at the beginning x stamps

- She gave her friend 10 of them

∴ The rest with her = x - 10 stamps

- Her mom gave her twice as many stamps as she had in the beginning

∵ She had at the beginning x stamps

∴ Her mom gave her 2 × x = 2x

∴ The number of stamps with her now = x - 10 + 2x stamps

- She has now 50 stamps

∴ x - 10 + 2x = 50 ⇒ add the like term

∴ 3x - 10 = 50 ⇒ add 10 to both sides

∴ 3x = 60 ⇒ divide both sides by 3

∴ x = 20

∴ Jane had 20 stamps in the beginning

Answer:

  72°

Step-by-step explanation:

You correctly found x, but the measure of the angle is ...

  4x-22 = 4·23.5-22 = 72°

___

or (6x-69)° = (141-69)° = 72°

The answer is:

The correct option, is the second option:  

b || c ( b and c are parallel).

To solve the problem, let's remember the following relationship:

If:

[tex]a=b[/tex]

and

[tex]b=c[/tex]

Then:

[tex]a=c[/tex]

So, from the statement we know that a and b are parallel (a || b), so, if a and c are parallel ( a || c) it means that b and c are parallel ( b || c).

Hence, the correct option is:

The second option, b || c ( b and c are parallel)

Have a nice day!

[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{3\sqrt{2}}\\ b=\stackrel{opposite}{3\sqrt{2}}\\ \end{cases} \\\\\\ c=\sqrt{(3\sqrt{2})^2+(3\sqrt{2})^2}\implies c=\sqrt{3^2\sqrt{2^2}+3^2\sqrt{2^2}}\implies c=\sqrt{18+18} \\\\\\ c=\sqrt{36}\implies c=6[/tex]

180-40-60=80 degrees

Answer:

The parabola will become narrower.

Step-by-step explanation:

Because of the coefficient 2, every value of x² is doubled, which means higher value on the same X coordinate, compared to the y = x² function.

Answer: B) The parabola will become narrower

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a (x - h)² + k     where

In the given equation of y = 2x², the a-value has increased so it is stretched.  When the graph stretches, the sides will get closer together thus the parabola will become narrower.

Answer: 2) Plant C is producing at a cost greater than the goal.

Explains which plant is achieving the goal set by the company regarding radio production costs.

Correct Statement: Plant B is at the goal of producing 20 radios for a cost of $2,500.

Explanation:

Plant A being farthest from the goal is inaccurate since the question mentions Plant B is producing at the goal cost.

Plant C producing at a cost greater than the goal is incorrect as Plant B is already reaching the goal cost.

Plant B is indeed at the goal, as stated in the question, producing 20 radios for a cost of $2,500.

total=147

a:m

1:6 =7

147÷7=21

21×1=21

alice recycled 21 bottles

Answer:

21

Step-by-step explanation:

We have an equation in the first sentence we are given.  Mike and Alice together recycled 147 bottles, so in equation form that looks like this:

M + A = 147.

That alone doesn't do us much good because we have 2 unknowns.  The next sentence gives us Mike's number of bottles based on Alice's.  If the number Mike recycles is 6 times as many as Alice, replace the word "is" with an "=" and "6 times as many as Alice" with 6A to get:

M = 6A

Now we can go back to the first equation and replace M with 6A:

6A + A = 147

Now we only have A's.  That's a good thing.  Solve for A:

7A = 147

A = 21

Answer:

The first 6 terms are -7,-14,-28,-56,-112,-224

Step-by-step explanation:

The given sequence is defined recursively by:

[tex]a_1=-7[/tex] and [tex]a_n=2(a_{n-1})[/tex]

When n=2

[tex]a_2=2(a_{2-1})[/tex]

[tex]a_2=2(a_{1})[/tex]

[tex]a_2=2(-7)=-14[/tex]

When n=3

[tex]a_3=2(a_{3-1})[/tex]

[tex]a_3=2(a_{2})[/tex]

[tex]a_3=2(-14)=-28[/tex]

When n=4

[tex]a_4=2(a_{4-1})[/tex]

[tex]a_4=2(a_{3})[/tex]

[tex]a_4=2(-28)=-56[/tex]

When n=5

[tex]a_5=2(a_{5-1})[/tex]

[tex]a_5=2(a_{4})[/tex]

[tex]a_5=2(-56)=-112[/tex]

When n=6

[tex]a_6=2(a_{6-1})[/tex]

[tex]a_6=2(a_{5})[/tex]

[tex]a_6=2(-112)=-224[/tex]

The first 6 terms are -7,-14,-28,-56,-112,-224

Answer:

910 bees

Step-by-step explanation:

There are 35 bees in a hive and we have 26 hives.

Take the number of hives and multiply by the number of bees per hive

26*35 =910

There are 910 bees total

If there are 26 hives and there are 35 bees in each hive we can do the simple math of 26x35=910

Answer:

  8x² -4x -3

Step-by-step explanation:

The x² terms are "like" terms, so can be combined. They have the same variable to the same power.

  7x² -4x +x² -3

  = (7+1)x² -4x -3 . . . . use the distributive property to rewrite 7x² +x²

  = 8x² -4x -3

Answer:

a. the answer is incorrect

b. 1

Step-by-step explanation:

step 1) 6x=48

step 2) 48/6

step 3)x=3

so what is the question that u are asking. I'll help you out

Answer:

sheeewsh

Step-by-step explanation:

Answer:

h = 40 cm

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ( r is the radius and h the height )

here V = 3240π, thus

π × 9² h = 3240π

81πh = 3240π ( divide both sides by 81π )

h = [tex]\frac{3240\pi }{81\pi }[/tex] = [tex]\frac{3240}{81}[/tex] = 40

Answer:

2.25π m²

Step-by-step explanation:

The area (A) of a circle is calculated using the formula

A = πr² ← r is the radius

here the diameter = 3

The radius is half the diameter, that is radius = 1.5, so

A = π × 1.5² = 2.25π m²

Answer:

The answer is 13- cedric Rhen

Step-by-step explanation:

The range for the number of cars sold at the dealership is 13 cars, calculated by subtracting the lowest sales number (4) from the highest (17).

The range for the number of cars sold by the salespeople at the dealership can be calculated by finding the difference between the maximum and minimum sales numbers. First, we identify the highest and lowest sales figures from the list provided. The highest number of sales is 17 (by Mark) and the lowest is 4 (by Manuel).

Now, subtract the minimum from the maximum to get the range: 17 (max) - 4 (min) = 13.

Therefore, the range for the number of cars sold is 13 cars.