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Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

b

Answer:

The area of the wrestling ring is 5.29π [tex]m^2[/tex]

Step-by-step explanation:

A sumo wrestling ring is circular and has a circumference of 4.6π meters.

To find its area, we need to first find its radius.

The circumference of a circle is given as:

[tex]C = 2 \pi r[/tex]

where r = radius

Hence, the radius of the ring will be:

[tex]4.6\pi = 2\pi r\\r = 4.6 /2 = 2.3m[/tex]

The radius of the ring is 2.3 m.

The area of a circle is given as:

[tex]A = \pi r^2[/tex]

Hence, the area of the wrestling ring (in terms of π) will be:

[tex]A = \pi * 2.3^2[/tex]

[tex]A = 5.29\pi[/tex] [tex]m^2[/tex]

The area of the wrestling ring is 5.29π [tex]m^2[/tex]

Answer:

Step-by-step explanation:

hello :

x²-3x-10=0  means : (x-5)(x+2)=0

x-5=0 or x+2=0

conclusion two solutions : 5 and -2

The solutions to the quadratic equation x² - 3x - 10 = 0 are x = 5 and x = -2.

Given the quadratic equation in the question:

x² - 3x - 10 = 0

To solve the quadratic equation x² - 3x - 10 = 0 by factoring, we need to find two binomials whose product equals the quadratic equation.

x² - 3x - 10 = 0

Factor the expression x² - 3x - 10 using the AC method:

Consider a pair of integers whose product is -10 and whose sum is -3.

We use -5 and 2:

Hence:

Write the factored form using these integers:

( x - 5 )( x + 2 ) = 0

Equate each factor to zero and solve for x:

( x - 5 ) = 0

x - 5 = 0

x = 5

Also, ( x + 2 ) = 0

x + 2 = 0

x = -2

Therefore, the values of x are 5 and -2.

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Answer:

D. 49.75 months

Step-by-step explanation:

Esme earns a net salary of $2400 per month.

In her saving account she already have a balance of $100.

She saves $100 every month after her monthly expenses.

She plans to buy a car of $20000 using a no interest loan .

She usually make a $300 payment on the loan every month.

The number of months she will save enough money to pay off her loan completely can be calculated below.

let

x  = number of months

The amount she saved altogether every month is $300 + $100 = $400.

Recall she already has $100 in her account

Amount of loan to be repaid = 100 + 400x

20000 = 100 + 400x

20000 - 100 = 400x

19900 = 400x

divide both sides by 400

x = 19900/400

x = 49.75 months

Answer:

D.) 49.75 Months

Step-by-step explanation:

Answer

280

Step-by-step explanation:

Answer:

280 then 80

Step-by-step explanation:

right on edg2020

Answer:

i think it's 36, but i'm not sure

Step-by-step explanation:

12 is 24 percent of 50, and 24 percent of 150 is 36

A ratio shows us the number of times a number contains another number. The number of people who prefer roast beef sandwiches out of 150 people is 36.

A ratio shows us the number of times a number contains another number.

Given that in a sample of 50 people, 12 were the people who preferred roast beef sandwiches. Therefore, the ratio of people who prefer roast beef sandwiches to the total number of people surveyed will be,

[tex]\dfrac{\text{People who prefer roast beef sandwich}}{\text{People who were surveyed}} = \dfrac{12}{50}[/tex]

Similarly, if the ratio is applied to a group of 150 people,

[tex]\dfrac{\text{People who prefer roast beef sandwich}}{\text{People who were surveyed}} = \dfrac{12}{50}\\\\\\\dfrac{\text{People who prefer roast beef sandwich}}{\text{150}} = \dfrac{12}{50}\\\\\text{People who prefer roast beef sandwich}=36[/tex]

Hence, the number of people who prefer roast beef sandwiches out of 150 people is 36.

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Answer:

the answerr is C

Step-by-step explanation:

Answer:

The angles are 26 and 64

Step-by-step explanation:

When two angles are complementary, what this means is that the add up to 90 degrees

Now, let’s say one of the angles is x, the other angle is 12 more than twice it; mathematically that would be 2x + 12

Since they add up to be 90, we have

x + 2x + 12 = 90

3x + 12 = 90

3x = 90-12

3x = 78

x = 78/3

x = 26

The other angle is 2x + 12 = 2(26) + 12 = 52 + 12 = 64

Two adjacent angles form a complementary relationship. One angle is twelve more than twice the other angle than the value of that two complementary angles are [tex]26^\circ[/tex] and [tex]64^\circ[/tex].

Given :

The sum of two complementary angles is [tex]90^\circ[/tex]. Let one of the complementary angles be 'a' then the other complementary angle is (12 + 2a) according to the given data.

The mathematical expression of the sum of complimentary angles is:

a + (2a + 12) = [tex]90^\circ[/tex]

Now, open the parenthesis and further simplify the above ex[pression.

3a + 12 = 90

Subtract both sides by 12 in the above expression.

3a + 12 - 12 = 90 - 12

3a = 78

Now, divide both sides by 3 in the above expression.

a = [tex]26^\circ[/tex]

Now, the other complementary angle is (2(26) + 12 = [tex]64^\circ[/tex]).

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Answer:$9.29

Step-by-step explanation:For unit rate finding the value of one is the objective. Easiest way to find it is by dividing the value (the amount of money being payed) by the amount beig sold ( the 5 shirts) so basically $46.45 ÷ 5

Answer:

9.25

Step-by-step explanation:

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

Explanation:

The idea is to plug in each pair of coordinates and see if you get a true equation. Choice A does not work because

y = 6x-2

20 = 6(6)-2 ... plugged in x = 6 and y = 20

20 = 36-2

20 = 34

we have a false equation. So this shows choice A does not work.

--------

However, choice D does work since...

y = 6x-2

28 = 6(5)-2 .... plug in (x,y) = (5,28)

28 = 30-2

28 = 28

Put another way, if we plugged x = 5 into the equation, then we'd get y = 28. Therefore, showing (5,28) is a point on the line y = 6x-2.

To find the ordered pair that satisfies the equation, substitute values for x and solve for y. The ordered pair for the equation y = 6x - 2 is (0, -2).

To find the ordered pair that satisfies the equation y = 6x - 2, we need to substitute different values for x and solve for y. Let's start by substituting x = 0. Plugging x = 0 into the equation, we get y = 6(0) - 2 = -2. So the ordered pair is (0, -2). Another way to find more ordered pairs is by using the slope-intercept form of the equation, y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 6 and the y-intercept is -2.

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Answer:

13.90 inches

Step-by-step explanation:

The sides of rectangle are 8.5 and 11 inches.

According to question diagonal needs to calculated.

The diagonal , and two sides of rectangle will forma a right angled triangle.

Right angle as it constitute a right angle of rectangle as well.

To understand more

construct a rectangle ABCD

then one of its diagonal will be AC if we take triangle ABC.

angle ABC will be right angled at B.

for triangle ABC . diagonal AC will be hypotenuse

So diagonal can be computed using Pythagoras theorem

which states that if a and b are two sides of  right angled triangle containing the right angle then hypotenuse is given by [tex]\sqrt{a^2+b^2}[/tex].

____________________________________________

In the problem

two sides are of length 8.5 and 11 inches

So, diagonal is hypotenuse which can be calculated by [tex]\sqrt{8.5^2+11^2}\\=>\sqrt{72.25+121}\\=>\sqrt{193.25}\\=>13.90[/tex]

thus length of diagonal is 13.90 inches.

Answer:

18 years

Step-by-step explanation:

Formula:   V(t) = P* (1 +  r/2)^(2t)

r = 4% = 0.04

P =$1,900

V(t) = $1,900 *(1 + 0.04/2)^ (2t)

V = 1900 *(1.02)^(2t)

$3,875.79  =  1900 * 1.02^2t

3875.79/1900 =  1.02^ (2t)

2.0398894736842  = 1.02 ^(2t)

ln 2.0398894736842 =  ln (1.02^(2t) )

ln 2.0398894736842 =  2*t*ln (1.02)

ln 2.0398894736842  /(2* ln (1.02)) =  t

0.71289562682179 / (2 * 0.0198   )  = t

18.00002 years  = t

Answer:

A. log Subscript 4 Baseline (3 x + 4) = 2

Step-by-step explanation:

I graphed it.

The equation [tex]\log_4(3x + 4) = 2[/tex] has a solution of x = 4

An equation is an algebraic expression that is represented by the equality "=" sign

For an equation to have a solution of x = 4, the equation must be true at x = 4

From the options, we have:

[tex]\log_4(3x + 4) = 2[/tex]

Substitute 4 for x

[tex]\log_4(3*4 + 4) = 2[/tex]

[tex]\log_4(16) = 2[/tex]

Express 16 as 4^2

[tex]\log_4(4^2) = 2[/tex]

Apply the law of logarithm

[tex]2\log_4(4) = 2[/tex]

Apply the law of logarithm

[tex]2*1 = 2[/tex]

[tex]2= 2[/tex]

The value of x = 4 is true for [tex]\log_4(3x + 4) = 2[/tex].

Hence, the equation [tex]\log_4(3x + 4) = 2[/tex] has a solution of x = 4

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Answer:

19

Step-by-step explanation:

This is a geometric series.

15, 3, (3/5), ...

common ratio r = 3/15 = (1/5)

a_1 = 15

Formula for nth term:   a_n = a_1 * r^(n-1)

a_n  = 15 *(1/5)^(n - 1)

We want the sum of the first 7 terms.

S =  a_1 * ( r^n  - 1) / (r - 1)

here let n = 7

S = 15 *  ( (1/5)^7 - 1 ) / ( (1/5) - 1)

S = 15 * ( (1/5)^7 - 1)  / (-4/5)

S = 15 * (5/-4) * ( (1/5)^7 - 1)

S =  ( -75/4 )* (-0.9999872)

S = - (-18.74976)  =  18.749...

The sum is about   19

The sum of the first 7 terms of the following series is 18.74.

'A geometric sequence is a sequence where every term has a constant ratio to its preceding term. A geometric sequence with the first term a and the common ratio r and has a finite number of terms.'

According to the given problem,

Sequence = { 15, 3, [tex]\frac{3}{5}[/tex] }

Let the common ratio be r,

Let the first term of the sequence be a,

⇒ a × r = second term

⇒ 15 × r = 3

⇒ r = [tex]\frac{3}{15}[/tex]

⇒ r = [tex]\frac{1}{5}[/tex]

We know,

Sum of n number of terms in a geometric sequence can be represented by,

[tex]S_{n} = \frac{a(1-r^{7}) }{1-r}[/tex]

⇒ [tex]S_{7} = \frac{15(1-(\frac{1}{5})^{7} ) }{1-\frac{1}{5} }[/tex]

⇒ [tex]S_{7} = \frac{15(1-(\frac{1}{5})^{7}) }{\frac{4}{5} }[/tex]

⇒ [tex]S_{7}= \frac{5*15(1-(\frac{1}{5})^{7} ) }{4}[/tex]

⇒ [tex]S_{7}= \frac{125(0.999)}{4}[/tex]

⇒ [tex]S_{7}=\frac{74}{4}[/tex]

⇒ [tex]S_{7} = 18.74[/tex]

Hence, we can conclude, the sum of the first 7 terms of the geometric sequence is 18.74.

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Answer: 96 students

Step-by-step explanation:

Number of students in the school= 800

Percentage of students that stays after school for Chess = 12%

To get the number of students that attend Chess Club on Wednesdays, we multiply the percentage given by 800. This can be written as:

= 12% of 800

= 12/100 × 800

= 12 × 8

= 96 students

96 students attend Chess Club on Wednesdays.

Answer:

Step-by-step explanation:

We know that the entire school

(

100

%

)

(100%)left parenthesis, 100, percent, right parenthesis has

800

800800 students. We need to find out how many students are in Chess Club, which is

12

%

12%12, percent of the school.

Hint #2

We can first divide

800

800800 by

100

100100 to see that

8

88 students make up

1

%

1%1, percent of the school, then multiply by

12

1212 to see how many students make up

12

%

12%12, percent.

12

%

of the students

=

12

⋅

1

%

of the students

=

12

⋅

8

students

=

96

students

12%of the students

​

=12⋅1%of the students

=12⋅8students

=96students

​

Hint #3

96

9696 students attend Chess Club on Wednesdays.

Answer: 17.3% of 45.94 km is 7.95 km

Final answer:

To find 17.3% of 45.94 km, convert the percentage to a decimal and multiply by the value in kilometers. The calculation gives you 7.94742 km, which rounded to two decimal places is 7.95 km.

Explanation:

To evaluate 17.3% of 45.94 km, you need to convert the percentage to a decimal by dividing by 100 and then multiply by the value in kilometers.

Convert the percentage to a decimal: 17.3% ÷ 100 = 0.173.

Multiply the decimal by the value in kilometers: 0.173 × 45.94 km.

Perform the multiplication to find the answer.

0.173 × 45.94 km = 7.94742 km.

Now, round the answer to two decimal places:

7.94742 km rounded to two decimal places is 7.95 km.

Answer:

81pi meter squared

Answer:

81π m²

Step-by-step explanation:

Formula: C=2πr

The circumference of the column is 18π meters so therefore: 18π=2πr

Divide the both sides by 2π:

r= 9 meters

Now find the area:

Formula for Area: A=πr²

Therefore: A= π · 9² = 81π meters²

Answer:

1 solution. Solution is -3.

Step-by-step explanation:

First subtract 8 from both sides. This gives you 5x=2x-9.

Then subtract 2x from both sides. This gives you 3x= -9

Next divide both sides by 3. This would give you that x = -3.

Mark me brainliest. Hope this helps

Final answer:

The equation 5x + 8 = 2x - 1 is solved by isolating x to find that it has one solution, x = -3.

Explanation:

The equation 5x + 8 = 2x - 1 can be solved for x to determine how many solutions it has. To do this, we first rearrange the equation to bring all terms involving x on one side and the constants on the other. Subtract 2x from both sides to obtain 3x + 8 = -1. Next, subtract 8 from both sides to get 3x = -9. Finally, divide both sides by 3 to isolate x, which yields x = -3. Therefore, the equation has one solution: x = -3.

Answer:

The equation of the line is  y = 3x - 1

Step-by-step explanation:

In this question, we are asked to write the equation of the line using a point on the line and the slope of the line.

Mathematically, the slope-intercept form of a line can be written as;

y = mx + c

where m is the slope of the line and c is the y-intercept of the line. Now back to the question, we can see that we have all that is required for the line asides the value of the y-intercept C

To get this, we plug the values in the question into the equation of the straight line.

Here, we say y = 2, x = 1 and m = 3

2 = 3(1) + c

c = 2-3

c = -1

Thus, the equation of the line is  y = 3x - 1

Answer:

63%

Step-by-step explanation:

Answer:

63% of the free throws.

Step-by-step explanation:

It is out of 100% so any percent from 100 is just the number in this case it would be 63 Free throws.

Answer:

.

Step-by-step explanation:

3x - y = 17 .......A

10 × [x/5 + y/2] = 10 × 0

2x + 5y = 0 .......B

......A× 5 both 2 sides of equation

15x - 5y = 85 .....C

......B + ........C

2x + 15x = 0 + 85

17x = 85

x = 85/17

x = 5

put x value in ........A or .......B or ......C

you will receive y = -2

Answer:-5d-6u-3

Step-by-step explanation:

-5d+(-6)u-3

-5d-6u-3

Answer:

Yes there is a loss of area

The loss is 5,858 ft²

Step-by-step explanation:

Kindly find attached rough sketch of the problem for your reference.

This problem bothers on the mensuration of flat shapes, rectangle and parallelogram

Firstly let us calculate initial area of the map, the rectangle

Area = length x width

Area = 200*100

Area = 20,000ft²

Now let us calculate the area of the new zoning map, parallelogram

Area = Base x height

But from the sketch we can solve for the height Applying

SOH CAH TOA

Using SOH

Sinθ= opposite/hypotenuse

Sin θ= h/100

h= sinθ*100

h= sin(45)*100

h= 0.7071*100

h= 70.71ft

We can now solve for the area of the new zoning map

A= 200*70.71

A= 14142ft²

Loss in square feet is

Area of initial map - area of New map

= 20,000-14,142

= 5,858 ft²

Answer:

-1 and 1/7

Step-by-step explanation:

i dont know how to explain it sorry

Answer:

- 8/7

Step-by-step explanation:

- 3/7 divided by 3/8

- 3/7 ÷ 3/8

- 3/7 × 8/3

- 24/21 = - 8/7

Thus, - 3/7 divided by 3/8 equals - 8/7

-TheUnknownScientist

Step-by-step explanation:

Simple

The percent of bus and car is 35

So 35% x 1500 = 525

Total bus and car students are 525

Answer:

D. 4.12

Step-by-step explanation:

A irrational number can be a decimal, but can never be a fraction.