Find the perimeter of this semi-circle with diameter,
d
= 34cm.
Give your answer as an expression in terms of
π
.

Answer:

D is correct

Step-by-step explanation:

The total length of ribbon needed to line the two long sides of the hat is 22 inches.

Given that, the sides above the right angles are (3x + 5) inches and (5x + 1) inches. The sides below the right angle are (2x + 1) inches and 5 inches.

A kite is a quadrilateral that has 2 pairs of equal adjacent sides. The angles where the adjacent pairs of sides meet are equal.

Now, (3x + 5)=(5x + 1)

⇒x=2

2x+1=5

⇒x=2

Thus, (3x + 5)=11 inches

Now, 11+11=22 inches

Therefore, the required answer is 22 inches.

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Answer:

21

Step-by-step explanation:

Answer:

18 and 9/10

Step-by-step explanation:

if you add 4/5+3/5=7/5 or 1.4.       3.5*5=17.5, then you add them together to get 18.9 or in the fraction version= 18 and 9/10

(2√5 )²

= 2√5 × 2√5

= 4×5

= 20

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 1 ← is in slope- intercept form

with slope m = - 1

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1, thus

y = x + c ← is the partial equation of the perpendicular line

To find c substitute (- 1, - 2) into the partial equation

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = x - 1 ← equation of perpendicular line

Answer:

The homeowner can buy 144 tiles maximum.

Side length = 16 feet.

Step-by-step explanation:

The cost of each tile is $3.45.

So, at $500, the homeowner can buy [tex]\frac{500}{3.45} = 144.92[/tex] ≈ 144 number of tiles. {As the number of tiles can not be a fraction.}

Since each tile is a square with area 256 square inches, so the homeowner can arrange the tiles in 12 by 12 arrangements.

Each tile has side length = √256 = 16 inches.

So, the side length of the largest patio is (16 × 12) inches = 16 feet. (Since, 1 foot = 12 inches). (Answer)

Answer:

3

Step-by-step explanation:

You would start by dividing

3 by 4. Then multiply 3/4 and 4. The 4s would cancel out leaving you with 3.  3/ 4×4=3

hope this helps

Final answer:

To answer the student's question, first find the quotient of 3 and 4, which is ¾, and then multiply that result by 4 to get the final answer of 3.

Explanation:

The student is asking for the result of multiplying 4 with the quotient of 3 and 4. To solve this, first calculate the quotient of 3 and 4, which is ¾. Then, multiply this result by 4.

Step 1: Quotient of 3 and 4 = 3 ÷ 4 = ¾

Step 2: Multiply the quotient by 4 = ¾ × 4

When you calculate step 2, you get:

¾ × 4 = (3 × 4) / 4 = 3

So, 4 times the quotient of 3 and 4 is 3.

Answer: daughter = 6 years

mother = 30 years

Step-by-step explanation:

Let the daughter's age be x and the mother's age be y , then from the first statement

y = 5x  .......................... equation 1

In 6 years time , the mother will be y + 6 and the daughter will be x + 6 ,from the second statement , we have

y + 6 = 3 ( x + 6 )

y + 6 = 3x + 18 ..................................... equation 2

substituting equation 1 into equation 2 , we have

5x + 6 = 3x + 18

5x - 3x = 18 - 6

2x = 12

x = 6

Therefore , the daughter's age is 6 years ,then the mother's age will be 6x5 = 30 years

Answer:

Step-by-step explanation:

5 cups per day.....1 cup = 8oz.....so 5 cups = (5 * 8) = 40 oz

cut down by 75%....means ur only drinking 25%

25% of 40 oz =

0.25(40) = 10 oz per day <===

Answer:

Step-by-step explanation:

The given question says that, the man is standing 50 ft away from the statue.

Looking at the top of the statue, the  angle of elevation is 8°.

Hence, where the man is standing, from that horizontal plane, the distance of the top of the statue is [tex]50 tan 8°[/tex].

Similarly, looking down towards the base, the angle is 14°.

Hence, the height from the base of the statue to the horizontal plane, where the man is standing is [tex]50 tan 14°[/tex].

The total height of the statue is [tex]50 tan 8° + 50 tan 14° = 50( tan 8° + tan 14°)[/tex] = 22.24475804 ≅22.24 ft.

The diameter of hemisphere is 61.4 units

Solution:

Given that, volume of hemisphere is 60570 cubic units

To find: Diameter of hemisphere

The formula for volume of hemisphere is given as:

[tex]V = \frac{2}{3} \pi r^3[/tex]

Where, "r" is the radius of hemisphere

Substituting the values we get,

[tex]60570 = \frac{2}{3} \times 3.14 \times r^3\\\\60570 = 2.093 \times r^3\\\\r^3 = \frac{60570}{2.093}\\\\r^3 = 28939.32\\\\\text{Take cube root on both sides }\\\\r = \sqrt[3]{28939.32} \\\\r = 30.7017248 \approx 30.7[/tex]

We know diameter is twice of radius

[tex]Diameter = 2 \times radius\\\\Diameter = 2 \times 30.7\\\\Diameter = 61.4[/tex]

Thus diameter of hemisphere is 61.4 units

The diameter of the hemisphere is [tex]\( 60.2 \, \text{cm} \)[/tex].

To find the diameter of a hemisphere with a volume of [tex]\( 60,570 \, \text{cm}^3 \)[/tex], we can follow these steps:

Step 1: Write a hemisphere's volume formula.

A hemisphere's volume (V) is determined by:

[tex]\[ V = \frac{2}{3} \pi r^3 \][/tex]

where ( r ) is the radius.

Step 2: Set up the equation with the given volume

Given [tex]\( V = 60,570 \, \text{cm}^3 \)[/tex], we substitute into the formula:

[tex]\[ 60,570 = \frac{2}{3} \pi r^3 \][/tex]

Step 3: Find the value of [tex]\( r^3 \)[/tex]

First, isolate [tex]\( r^3 \)[/tex]:

[tex]\[ r^3 = \frac{60,570 \times 3}{2 \pi} \][/tex]

Step 4: Calculate the value inside the equation

[tex]\[ r^3 = \frac{181,710}{2 \pi} \approx \frac{181,710}{6.2832} \approx 28,931.89 \][/tex]

Step 5: Solve for ( r )

Take the cube root of both sides to find ( r ):

[tex]\[ r = \sqrt[3]{28,931.89} \approx 30.1 \][/tex]

Step 6: Calculate the diameter

Two times the radius is the diameter (D):

[tex]\[ D = 2r \approx 2 \times 30.1 = 60.2 \][/tex]

Thus, the diameter of the hemisphere is [tex]\( 60.2 \, \text{cm} \)[/tex].

Complete Question:

What is the diameter of a hemisphere with a volume of 60570 [tex]cm^{3}[/tex] , to the nearest tenth of a centimeter?

The thickness of a stack of 8 sheets of metal, each 2/3 of an inch thick, is 5 1/3 inches.

To determine the thickness of a stack of 8 sheets of metal that are each 2/3 of an inch thick, we simply multiply the thickness of one sheet by the number of sheets in the stack:

(2/3 inch/sheet) x 8 sheets = (2/3) x 8

Now, we simplify the expression by multiplying 2 by 8 which equals 16, and then we keep the same denominator:

16/3 inches

This fraction can also be converted to a mixed number:

5 1/3 inches

So, the stack will be 5 1/3 inches thick.

Answer:

$45

Step-by-step explanation:

We are given the following information;

We need to determine the amount of interest the money will earn after three years.

Therefore, in this case;

Simple interest = ($300 × 5 × 3) ÷ 100

                         = $45

Thus, the money invested earned a simple interest of $45

Using the formula for simple interest, we find out that Edin will earn £45 as interest on his savings of £300 over a period of 3 years at a simple interest rate of 5% per annum.

The subject of this question is simple interest. The formula for simple interest is: Principal * Rate * Time. Let's plug in the given values into the formula. Here, the principal amount is £300, the rate of interest is 5% per annum (or 0.05 in decimal form), and the time is 3 years. So, the calculation will be: £300 * 0.05 * 3.

After performing the calculation, we find that the interest Edin will earn after 3 years is £45.

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3 copies of 1/6 makes it 1 copy 1/2 because 3 times of 1/6 is 3/6 which is 1/2

Step-by-step explanation:

3 times 1/6 = 3/6

which is 1/2.

Hence it takes 3 copies of 1/6 to show the amount as 1 copy of 1/2

Alternatively,

1/6+1/6+1/6= 1/2

3/6=1/2

1/2=1/2

Answer:

$56?

Step-by-step explanation:

I think you get 100%-30%=70%.

70%=0.70

0.70*$80= $56

Answer:

20; 500

Step-by-step explanation:

1.5 is what percent of 7.5. 7.5 is 5 times 1.5, so 1.5 is 1/5 of 7.5. 1/5=20%. Inversely, 7.5 is 5 times 1.5, 5=500%.

[tex]1 \frac{1}{2} \text{ is } \underline{20\%} \text{ of } 7 \frac{1}{2}[/tex];  [tex]7 \frac{1}{2} \text{ is } \underline{500\%} \text{ of } 1 \frac{1}{2}[/tex]

[tex]1 \frac{1}{2}[/tex] becomes [tex]\frac{3}{2}[/tex].

[tex]7 \frac{1}{2}[/tex] becomes [tex]\frac{15}{2}[/tex].

[tex]\text{Percentage} = \frac{\text{part}}{\text{whiole}} \times 100\%[/tex]

[tex]\frac{\frac{3}{2}} {\frac{15}{2}} \times 100\% = \frac{3}{15}\times 100\% = \frac{1}{5}\times 100\% = 20\%.[/tex]

Thus,

[tex]1 \frac{1}{2} \text{ is } \underline{20\%} \text{ of } 7 \frac{1}{2}.[/tex]

[tex]\frac{\frac{15}{2}} {\frac{3}{2}} \times 100\% = \frac{15}{3}\times 100\% = 5\times 100\% = 500\%.[/tex]

Thus,

[tex]7 \frac{1}{2} \text{ is } \underline{500\%} \text{ of } 1 \frac{1}{2}.[/tex]

Complete question:

fill in the blanks:

[tex]1 \frac{1}{2}[/tex] is ____ % of [tex]7 \frac{1}{2}.[/tex] ;            [tex]7 \frac{1}{2}[/tex] is ____ % of [tex]1 \frac{1}{2}.[/tex]  

Answer:

3x-5y

Step-by-step explanation:

Combine like terms

To simplify the expression 13x + 2y - 10x - 7y, combine the like terms together. The simplified expression is 3x - 5y.

To simplify the expression 13x + 2y - 10x - 7y, combine the like terms together. Start by combining the x terms and then combine the y terms.

13x - 10x = 3x

2y - 7y = -5y

Therefore, the simplified expression is "3x - 5y."

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Answer:

In order for it to benefit his father to buy the pass Seth have to attend the movies for 11 times.

Step-by-step explanation:

Given:

Cost of movie pass = $40

Cost per matinees with pass = $1.00

Cost per matinees without pass = $3.50

To Find:

Number of times must Seth attend in order for it to benefit his father to buy the pass = ?

Solution:

Let x be the number of times he wants to visit

To profit his father

The number of visits without pass =  the number of visits with passin the cost  of $3.50

Then, without pass if he visits for x times then the cost will be  = 3.50x

Also with pass, the number of times he can visit the pass  =  [tex]\frac{40}{3.50}[/tex]

then

[tex]\frac{350 x}{3.50} = \frac{40}{3.50}[/tex]

[tex]3.50x = 40[/tex]

[tex]x = \frac{40}{3.50}[/tex]

x =  11.42

x = 11 (approx)

Answer:

[tex]\begin{array}{cccc}&\text{Like pizza}&\text{Do not like pizza}&\text{Total}\\ \\\text{Like burritos}&165&10&175\\\text{Do not like burritos}&70&5&75\\ \text{Total}&235&15&250\end{array}[/tex]

Step-by-step explanation:

250 people are surveyed. 15 of them do not like pizza, then

250 - 15 = 235 like pizza.

30% do not like burritos. 30% of 250 is

[tex]250\cdot 0.3=75[/tex] people which do not like burritos and 250 - 75 = 175 people like burritos.

Then the incomplete two way frequency table is

[tex]\begin{array}{cccc}&\text{Like pizza}&\text{Do not like pizza}&\text{Total}\\ \\\text{Like burritos}&&&175\\\text{Do not like burritos}&&&75\\ \text{Total}&235&15&250\end{array}[/tex]

66% like pizza and burritos. Then

[tex]250\cdot 0.66=165[/tex] people like pizza and burritos.

Hence,

[tex]235-165=70[/tex] people like pizza and do not like burritos

[tex]175-165=10[/tex] people like burritos and do not like pizza

[tex]250-165-70-10=5[/tex] people do not like pizza and do not like burritos

Hence the complete two way frequency table is

[tex]\begin{array}{cccc}&\text{Like pizza}&\text{Do not like pizza}&\text{Total}\\ \\\text{Like burritos}&165&10&175\\\text{Do not like burritos}&70&5&75\\ \text{Total}&235&15&250\end{array}[/tex]

Answer:

V=(4/3)πr^3

Step-by-step explanation:

This is the equation to find the volume of a sphere

V=(4/3)πr^3

than plug in 6 for x, and solve

The volume of a sphere with a radius of 6 units is represented by the expression [tex]\frac{4}{3}[/tex] πr³, which calculates to V = [tex]\frac{4}{3}[/tex] π(6)³, cubic units. If two such spheres combine, the volume doubles, and the new radius is the cube root of the new volume.

The expression that represents the volume of a sphere with a given radius in cubic units is given by the formula V = [tex]\frac{4}{3}[/tex] πr³. For a sphere with a radius of 6 units, you can substitute the value of the radius into this formula to calculate the volume.

The calculated volume V would be V = [tex]\frac{4}{3}[/tex] π(6)³, which simplifies to V = [tex]\frac{4}{3}[/tex] π(216), or V = 288π cubic units. Therefore, the volume of the sphere is 288 times π cubic units.

Answer:

Step-by-step explanation:

Area of rectangle A = L × W

Length L = n - 3

Width = 2

Area = 24square unit

:- 24 = (n - 3)2

24 = 2n - 6 ...... This the equation

24 + 6 = 2n

30 = 2n

n = 30/2

n = 15

Answer:

8

x

2

+

22

x

y

+

15

y

2

Step-by-step explanation:

yeet

Answer:

Step-by-step explanation:

Answer:

4 hours = 14400 seconds.

Step-by-step explanation:

i) In 1 hour there are 60 minutes

ii) in 1 minute there are 60 seconds

iii) therefore 1 hour = 60 minutes

                               = 60 [tex]\times[/tex] 60 seconds

                               = 3600 seconds

iv) therefore to convert 4 hours to seconds we have to multiply the number of hours by 3600 seconds

      therefore 4 hours = 4 [tex]\times[/tex] 3600 seconds = 14400 seconds.

Answer:

[tex]\large\boxed{x=\dfrac{17}{7}}[/tex]

Step-by-step explanation:

[tex]\text{A geometric mean of}\ x\ \text{and}\ y:\\\\\sqrt{xy}\\\\\text{Let}\ x-\text{the number}.\\\\\text{Substitute:}\\\\\sqrt{17}=\sqrt{(7)(x)}\iff17=7x\qquad\text{divide both sides by 7}\\\\\dfrac{17}{7}=\dfrac{7x}{7}\to x=\dfrac{17}{7}[/tex]

Answer:

12:45

Step-by-step explanation:

quik maths

Answer:12:45

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{20}{29}[/tex]

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{21}{29}[/tex]

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{20}{21}[/tex]

The functions sin, cos, and tan for a given angle in a right triangle are defined in terms of ratios of the side lengths. They are respectively the ratios of the opposite side to the hypotenuse, the adjacent side to the hypotenuse, and the opposite side to the adjacent side.

In a right triangle, sin(A) is defined as the ratio of the side opposite to angle A (opposite side) to the hypotenuse, cos(A) as the ratio of the adjacent side to the hypotenuse, and tan(A) as the ratio of the opposite side to the adjacent side.

Suppose the lengths of the sides of the given right triangle are a, b, and c (where c is the length of the hypotenuse).

Then, sin(A) = a/c, cos(A) = b/c, and tan(A) = a/b. These ratios must be put in reduced form by simplifying the fractions if necessary.

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15/60+12/60+10/60= 37/60

Answer:

The true statement is: A. The range for Week 1 equals the range for Week 2.

Step-by-step explanation:

Let's recall that the range of a data set is the difference between the largest number and the smallest number.

As we can confirm in the plot for week 1, the range is:

Range for week 1 = Largest number - smallest number

Range for week 1 = 89 - 62 = 27

In the same way, we can confirm in the plot for week 2 that the range is:

Range for week 2 = Largest number - smallest number

Range for week 2 = 89 - 62 = 27

Ranges for week 1 and 2 are equal, thus,

The true statement is: A. The range for Week 1 equals the range for Week 2.

Answer:

86.4 km

Step-by-step explanation:

Since the cyclist travels 1.8km in a minute, he will travel 48 times that in 48 minutes:

[tex]48*1.8 = 86.4[/tex]