Help please
10(5-n)-1=29

Answer:

[tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex]

Step-by-step explanation:

Here is a fact to remember. A hexagon is always made up of 6 equilateral triangles.

So if the perimeter of the Hexagon is 12 cm, then each side is 2 cm.

The area of an equilateral triangle is [tex]\frac{s^{2}\sqrt{3} }{4}[/tex].

So plugging in 2 gets us the area of one triangle.

s = 2

[tex]2^{2}\sqrt{3}/4 = \sqrt3[/tex]

The area of 6 triangles will be [tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex].

Answer:

x = 53.15

Step-by-step explanation:

use Pythagoras theorem

first find for the triangle that has both sides given and then solve for the other

Answer:

Step-by-step explanation:

Given that, radius of Circle is 17 yards. To find the circumference of the circle we will the formula of circumference of circle:

Circumference of circle = 2πr

2 × 3.14 × 17

6.28 × 17

106.76 yards

Hence,

⠀

Step-by-step explanation :

⠀

As, it is given that, the radius of a circle is 17 yards and we are to find the circumference of the circle.

⠀

We know that,

[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 2 \pi r }}}}}[/tex]

⠀

Here,

⠀

Now, substituting the values :

⠀

[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 2 \times 3.14 \times 17 }}}}}[/tex]

⠀

[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 6.28 \times 17 }}}}}[/tex]

⠀

[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 106.76}}}}}[/tex]

⠀

Therefore,

Answer: 45 items

Step-by-step explanation:

2 key chains in 5 bags so 2+2+2+2+2=10

Then it says 7 treats in each 5 bags so

7+7+7+7+7=35

So 10+35=45 so she had 45 items

And put 9 items in each bag

The percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'  known as percentage symbol.

In the attached image below the monthly budget is shown. In this budget the take home salary is $5388 and the total expences is $4558.

The percentage of take-home pay is spent on expenses is,

[tex]P=\dfrac{4558}{5388}\times100\\P=0.8459\\P\approx85\%[/tex]

Thus, the percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.

Learn more about the percentage here;

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92.6% of 103.93km

Our output value is 103.93.

let's represent the unknown as x.

103.93=100%

Similarly, x=92.6%

103.93= 100% (1)

x= 92.6% (2)

By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of bothequations have the same unit (%); we get:

103.93/x = 100%/ 92.6%

the reciprocal of both sides gives:

x/ 103.92 = 92.6/100

= 96.23918

2 dp= 96.24

so 92.6% of 103.93km is 96.24 when rounded to 2 decimal place.

Answer:

96.24 km

Step-by-step explanation:

To Find :

Solving :

Answer:

2/9

Step-by-step explanation:

The sum of two numbers is 5/9 can be expressed as:

[tex]\displaystyle \large{x+y=\dfrac{5}{9}}[/tex]

One of the numbers is 1/3. Find the other - this means that either x or y is 1/3 but that doesn’t matter as we can either let x = 1/3 or y = 1/3 via property:

[tex]\displaystyle \large{x+y = y+x}[/tex]

Hence, let x = 1/3:

[tex]\displaystyle \large{\dfrac{1}{3}+y=\dfrac{5}{9}}[/tex]

Solve for y - subtract both sides by 1/3:

[tex]\displaystyle \large{\dfrac{1}{3}-\dfrac{1}{3}+y=\dfrac{5}{9}-\dfrac{1}{3}}\\\displaystyle \large{y=\dfrac{5}{9}-\dfrac{1}{3}}[/tex]

We know that we can only evaluate the fractions if both have same denominator so what we have to do is to multiply 1/3 by 3 for both top and bottom:

[tex]\displaystyle \large{y=\dfrac{5}{9}-\dfrac{1\cdot 3}{3\cdot 3}}\\\displaystyle \large{y=\dfrac{5}{9}-\dfrac{3}{9}}\\\displaystyle \large{y=\dfrac{2}{9}}[/tex]

Therefore, the other number is 2/9

Answer:

The other number is 2/9

Step-by-step explanation:

"a" is the other number

The equation:

[tex]a+\frac{1}{3} =\frac{5}{9}[/tex]

Then

[tex]a=\frac{5}{9} -\frac{1}{3} =\frac{15-9}{27} =\frac{6}{27}[/tex]

simplifying the fraction:

[tex]a = \frac{2}{9}[/tex]

Hope this helps

Answer:

30% or 4/12

Step-by-step explanation:

Answer:

33.333...% (2/3)

Step-by-step explanation:

the number 1 makes up one third of the numbers on the spinner.

Answer:The answer is12

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

Find a common denominator in this case 4.

Turn both mixed numbers to an improper fraction

12 1/2 = 25/2

8 3/4 = 35/4

multiply 2 to 25/2 = 50/4

50/4 - 35/4 = 15/4

Answer:

20

Step-by-step explanation:

2x2x5

f(x)=x²

Hence.

Answer:

welp hopefully its right

Step-by-step explanation:

-1.5

15

- 10

-3

2

The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.

The period of a sine function is equal to the 2π and it repeats after each 2π units.

The  sine model can be given as,

[tex]y = a\sin(bt) +k[/tex]

The blades are 10 feet long and complete 2 rotations every minute. Thus the period is,

[tex]b=\dfrac{2\pi}{60}\times2\\b=\dfrac{\pi}{15}\\[/tex]

The blades of a windmill turn on an axis that is 30 feet from the ground. Thus,

[tex]k=30[/tex]

The blades are 10 feet long. Thus,

[tex]a=10[/tex]

Put these values in the above formula as,

[tex]y = 30\sin(\dfrac{\pi}{15}t) +30[/tex]

Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.

Learn more about the sine function with time here;

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Answer:

B

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

a² + b² = c²

13² + 84² = x²

x = 85

Answer:

-685

Step-by-step explanation:

hope I helped

#a

Degree is the highest power

#b

Leading coefficient is 7

#c

Constant term is 8 (which doesn't contain variables)

#d

Leading term is term with highest power

Answer:
A

Step-by-step explanation:

Answer:

Maya, Pablo

Step-by-step explanation:

We solve the inequality to find how big x must be to fit the inequality.

[tex]\frac{3}{5}x > 6\\ x > 10[/tex]

Since x has to be greater than 10, anyone with an answer above that is correct.

Maya and Pablo are the only two.

Answer:

64%

Step-by-step explanation:

36% like everything else, leaving a 64%

Answer: 64%

Step-by-step explanation:

9 + 6 + 15 + 6 =36

popcorn = 100- 36% = 64%

64/100 × 84/1

Answer:

Step-by-step explanation:

Given system of equations

Express the first equation as

Substitute the value of y into second equation

Solve for x

Find the value of y

Answer:

(-5, 9)

Step-by-step explanation:

Given system of linear equations:

[tex]\begin{cases}-2x-y=1\\-4x-y=11\end{cases}[/tex]

To solve by substitution, use arithmetic operations to isolate y in Equation 1:

[tex]\implies -2x-y=1[/tex]

[tex]\implies -2x-y+y=1+y[/tex]

[tex]\implies -2x=1+y[/tex]

[tex]\implies -2x-1=1+y-1[/tex]

[tex]\implies y=-2x-1[/tex]

Substitute the expression for y into Equation 2 and solve for x:

[tex]\implies -4x-(-2x-1)=11[/tex]

[tex]\implies -4x+2x+1=11[/tex]

[tex]\implies -2x+1=11[/tex]

[tex]\implies -2x+1-1=11-1[/tex]

[tex]\implies -2x=10[/tex]

[tex]\implies -2x \div -2=10 \div -2[/tex]

[tex]\implies x=-5[/tex]

Substitute the found value of x into one of the equations and solve for y:

[tex]\implies -2(-5)-y=1[/tex]

[tex]\implies 10-y=1[/tex]

[tex]\implies 10-y+y=1+y[/tex]

[tex]\implies 10=1+y[/tex]

[tex]\implies 10-1=1+y-1[/tex]

[tex]\implies y=9[/tex]

Therefore, the solution to the given system of linear equations is (-5, 9).

Learn more about system of equations here:

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The equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24

According to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.

From the diagram

hypotenuse = 10ft

Other sides are x and (x+2)ft

According to the theorem:

10^2 = x^2 + (x+2)^2

x^2 + (x+2)^2 = 100

Expand

x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
x^2 + 2x - 48 = 0

Divide through by 2

0.5x^2 +x - 24 = 0
0.5x(x+2) = 24

Hence the equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24

Learn moreon Pythagoras theorem here: https://brainly.com/question/18811544

Answer:

D

Step-by-step explanation:

[tex]\tan S = \dfrac{RT}{RS}= \dfrac{5}{12}\\\\\\\tan T = \dfrac{RS}{RT}= \dfrac{12}5[/tex]

Answer:

x = 25

Step-by-step explanation:

[tex]x=25\sqrt 2 \times \cos 45\degree\\\\\implies x = 25 \cancel{\sqrt{2} }\times \frac{1}{ \cancel{\sqrt{2} } } \\ \\ \implies \: x = 25[/tex]

Answer:

91

Step-by-step explanation:

130 - 1 1/2 ( 26) = 91

The freight train was traveling at 40 mph.

Let's use the formula for distance:

distance = rate x time

We know that the two trains are moving away from each other, so we can add their distances to get the total distance between them:

distance = distance traveled by passenger train + distance traveled by freight train

Since they started at the same time, the time traveled by both trains is the same, so we can write:

distance = 80 mph x time + rate of freight train x time

Using the given information, we can write:

720 = 80 x 6 + rate of freight train x 6

Simplifying:

720 = 480 + 6(rate of freight train)

240 = 6(rate of freight train)

rate of freight train = 40 mph

To learn more about the speed;

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#SPJ1

Answer:

Length: 24 cm

Width: 8 cm

Explanation:

Let Width be "w"

Then Length is "3w"

=================

Perimeter of rectangle = 2(length+width)

===================================

So, width is 8 cm

Length: 3w ⇒ 3(8) ⇒ 24 cm

Answer:

Step-by-step explanation:

Given

Solving