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Find the area of the shaded region.

540 sq km


113.1 sq km


426.9 sq km


320 sq km

In geometry is defined as the equality between the two line segments are said to be congruent when they have the same length.

Given that, if EF=FG, then F is the midpoint of EG.

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

Congruent line segments are 1-dimensional geometrical figures having equal measures. The word "congruent" with respect to congruent lines in geometry is defined as the equality between the two line segments. Two lines are said to be congruent when they have the same length.

Here, F is the midpoint of EG it bisects the line EG, which is EF=FG

Therefore, in geometry is defined as the equality between the two line segments are said to be congruent when they have the same length.

To learn more about the formula of midpoint visit:

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Answer:

The expression for the width of the rectangle is [tex]9x^{5}y^{5}[/tex].

Step-by-step explanation:

The formula to compute the area of a rectangle is,

[tex]Area=length\times width[/tex]

Given:

Area = [tex]45x^{8}y^{9}\ square\ yards[/tex]

Length = [tex]5x^{3}y^{4}\ yards[/tex]

Determine the expression for the width of the rectangle as follows:

[tex]Area=length\times width\\45x^{8}y^{9}=(5x^{3}y^{4})\times width\\width = \frac{45x^{8}y^{9}}{5x^{3}y^{4}} \\=\frac{45}{5}\times [x^{8-3}]\times [y^{9-4}]\\ =9x^{5}y^{5}[/tex]

Thus, the width is [tex]9x^{5}y^{5}[/tex].

Answer:

you want to divide 2¾ by ¼to find how many pieces leah cut.

hope this helps.

Step-by-step explanation:

Answer: I believe it is 6

Step-by-step explanation:

The formula of perimeter is

P=2(l+w)

so plug in 1.5 for length and width

P=2(1.5+1.5)

your answer should be 6.

Answer:

2

Step-by-step explanation:

you get 2 because 5 times 2 equals 10 and 6 times 2 equal 12. so you get 10/12

Step-by-step explanation:

[tex]\frac{5}{6} = \frac{5\times 2}{6\times 2} = \frac{10}{12} \\ \\

[/tex]

Therefore, answer is 2.

Answer:

7 months

Step-by-step explanation:

equation:

75+65x

75+65(6)=465 <495

75+65(7)=530>495

Ben will need to make deposits for at least 7 months to have enough money to buy the TV.

To determine the minimum number of months Ben will need to make deposits until he has enough money to buy the TV, we can set up an equation.

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Answer:

  see below for one possibility

Step-by-step explanation:

Many methods are taught for doing long division. You may find it most convenient to use the one taught in your class. One method is shown in the attachment below.

Generally, the first step is to adjust the decimal points so the divisor is an integer. Here, that means multiplying both numbers by 100, so the problem becomes 1517.76/248. This makes it easy to keep the decimal point of the quotient in the right place.

If you're using the method illustrated below, you find the smallest portion of the dividend that is a multiple of the divisor between 1 and 9. Multiply the divisor by that quotient digit and subtract the result from the dividend. Repeat as often as necessary to get the desired result. When the remainder is zero, as here, there is no point to continuing, as the remaining quotient digits are zero.

The quotient digit described in the previous paragraph is aligned with the least significant digit of the dividend that you're working with. If that is not adjacent to the previous quotient digit, use zero as a place-holder. The second attachment shows an example.

When the dividend is the same as one you have seen before, it means the digits of the quotient will repeat. The third attachment shows an example of this.

_____

For the problem shown here, you know that 15/2.5 is a number between 1 and 10, so you can ignore the decimal points and place the decimal point in the quotient so its value is between 1 and 10. This is the way it is done when the tool used for division is a slide rule, not a modern scientific calculator. (When using a slide rule, the powers of ten need to be managed manually.)

Answer:40z

Step-by-step explanation: i got this answer by using the distributive property. So when I distribute 5 to 8 you just basically multiply the two and add the variable on the end

Answer:

Explanation:

(i) When the car has only 80 m to stop, show that [tex]3v^2+20v-1600<0.[/tex]

The distance, [tex]d[/tex] [tex]m[/tex], it takes for a car moving at a speed of [tex]v[/tex] [tex]m/s[/tex]  to stop completely is given by [tex]d=0.15v^2+v[/tex]

The car must stop before the 80 m, so the distance to stop is less than 80 m:

                       [tex]d<80[/tex]

                      [tex]0.15v^2+v<80[/tex]

             [tex]20\times 0.15v^2+20\times v<20\times 80\\\\3v^2+20v<1600[/tex]

            [tex]3v^2+20v-1600<0[/tex]

Which is the expression you wanted to prove.

(ii) Solve the inequality in part (i) to find the maximum speed of the car.​

To solve the inequality you need to factor the left side:

         [tex]3v^2+80v-60v-1600<0[/tex]

         [tex]3v^2-60v+80v-1600<0[/tex]

         [tex](3v^2-60v)+(80v-1600)<0[/tex]

        [tex]3v(v-20)+80(v-20)<0[/tex]

          [tex](v-20)(3v+80)<0[/tex]

There are two possible solutions: 1) the first factor is positive and the second negative, and 2) the first factor is negative and the second positive.

1. First tentative solution

              [tex]v-20>0\\\\v>20\\\\3v+80<0\\\\3v<-80\\\\ v<-80/3\\\\v<-26.26[/tex]

The speed cannot be greater than 20m/s and less than - 26.26 m/s at the same tine, thus, there are not solutions for this assumption.

2. Second tentative solution

              [tex]v-20<0\\\\v<20\\\\3v+80>0\\\\3v>-80\\\\ v>-80/3\\\\v>-26.26[/tex]

You are looking for an upper bound, thus the solution is that the speed is less than 20m/s.

Step-by-step explanation:

x : y = 5 : 6

[tex] \therefore[/tex]let x = 5k & y = 6k

We need to find: 5x-2y:6x+2y

[tex] \therefore \: \frac{5x - 2y}{6x + 2y} \\ \\ = \frac{5 \times 5k - 2 \times 6k}{6 \times 5k + 2 \times 6k} \\ \\ = \frac{25k - 12 k}{30k + 12k} \\ \\ = \frac{13 k}{42k} \\ \\ =\frac{13 }{42} \\ \\ = 13 : 42 \\ \\ \purple{ \boxed{\therefore \: (5x - 2y) :({6x + 2y}) = 13 : 42}}[/tex]

Answer:

square root of 89

Step-by-step explanation:

squ^re r00t 0f 89 !s 9

Answer:

-78 + 55 = -23

Step-by-step explanation:

Answer:

Step-by-step explanation:

-78+55 = -23

Answer:

17

Step-by-step explanation:

The coordinates of x-intercepts of the graph of y = (x - 3)(x + 2) are (3 , 0) and (-2 , 0) ⇒ 4th answer

Step-by-step explanation:

The x-intercepts of a quadratic function is the values of x when y equal to zero

If y = (x - a)(x + b), then to find x-intercepts do that:

∵ The equation of the graph is y = (x - 3)(x + 2)

- To find the x-intercepts equate y by 0

∴ (x - 3)(x + 2) = 0

- Equate each bracket by 0

∵ x - 3 = 0

- Add x to both sides

∴ x = 3

∵ x + 2 = 0

- Subtract 2 from both sides

∴ x = -2

∴ The graph intersects the x-axis at points (3 , 0) and (-2 , 0)

The coordinates of x-intercepts of the graph of y = (x - 3)(x + 2) are (3 , 0) and (-2 , 0)

Learn more:

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Answer: 14.6 % increase

Step-by-step explanation: 44 divided by 30 = 1.46

To decimal = 14.6 percent

Answer:

14.6

Step-by-step explanation:

Answer:

Its 6 dollars, because the unit price is $4 per popover while the unit price for a bannock burger is $10 per burger. You see... If you did your math correctly, you should have a result of $6 from subtracting 4 from 10.

Have a good day!~

Answer:

[tex]0.08[/tex]

Step-by-step explanation:

Given : 8%

To find the decimal value of the percentage number

Remove the percentage symbol with 100 in the denominator

gives            

              [tex]\frac{8}{100}\\[/tex]

Now taking the numerator to the decimal place equal to the number of zeros in the denominator or simply divide denominator with numerator.

Gives =   [tex]0.08[/tex]

So, the decimal equivalent of the given value is  [tex]0.08[/tex]

0.08

Step-by-step explanation:

8% can be written as 8/100 in the fractional form.

now when we will divide anything by 100, we will count the 0s in 100. here 2 zeros are there.

so we will put the decimal point before two digit. in numerator we already have 8.

we need another digit, so we put 0 then the decimal point.

that means 0.08

We can use the distributive property for this:

4 (p+2) = 28

4p + 8 = 28.

4p = 28 - 8.

4p = 24.

Divide by 4 on both sides:

p = 6

Option D:

Right triangle

Solution:

Let us first define obtuse, acute right triangle and supplementary.

Obtuse angled triangle:

If any one of the angle in the triangle is more than 90°, then the triangle is an obtuse angled triangle.

Acute angled triangle:

If all the angles of the triangle are less than 90°, then the triangle is an acute angled triangle.

Right angled triangle:

If any one of the angle in the triangle is exactly 90°, then the triangle is a right angled triangle.

Supplementary:

If sum of the angles is 180°, then the angles are supplementary angles.

But this is not a kind of triangle.

In given triangle one of the angle is 90°.

Therefore, this is a kind of right triangle.

Option D is the correct answer.

Answer:

30.4

Step-by-step explanation:

30.4-8.4=22

See the explanation

Hello! remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any fraction so I'll give you a fraction in order to illustrate this problem such that the fraction can be rewritten as the sum of two equal fractional parts and that that fraction can also be rewritten as a multiplication equation:

CHOSEN FRACTION:

[tex]\frac{16}{15}[/tex]

1. Written as the sum of two equal fractional parts:

[tex]Let's \ divide \ this \ fraction \ by \ 2: \\ \\ \frac{16}{15}\div 2=\frac{8}{15} \\ \\ \\ So: \\ \\ \frac{16}{15}=\frac{8}{15}+\frac{8}{15}[/tex]

2. Written as  a multiplication equation:

[tex]We \ can \ write: \\ \\ 16=4\times 4 \\ \\ 15=3\times 5 \\ \\ \\ So: \\ \\ \frac{16}{15}=\frac{4}{3}\times \frac{4}{5}[/tex]

The addition problem is shown below in the number line.

Distributive property: https://brainly.com/question/769410

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So we know that 1 inch on the map = 5 inches.

So if Brady's house is 23 inches away from Flagstaff on the map:

23 * 5 = 115.

So 115 inches is the actual distance...

Wait. His house is 9 feet away from Flagstaff? That's cool.

Answer:

1

Step-by-step explanation:

use PEMDAS=

2+6=12

12x2=24

48/24=2

2-1= 1

Answer:

2

Step-by-step explanation:

first you do things that are in perrinthes so that would be 2+6 is 8  times 2 because there is another perrinthes so thats 16 then divide 48 by 16 so then you get 3 minus 1 is 2( yeah im bad at spelling)

Answer:

A=60

Step-by-step explanation:

Answer:

The answer is 7 candies for each friend with a remainder of 3. If you are taking or have taken decimals i suggest you write 7.5 because candy can be split in half.

Step-by-step explanation:

First, multiply 4 by 10. The product is 40. Then, add 5. The sum is 45. Divide 45 by 6. The quotient is 7 with a remainder of 3.

Answer:

Step-by-step explanation:

$8.75

Tyler gets $30 in change after buying a 7-day snowboarding ticket with a discount, having gone to the ticket counter with $340.

To calculate the change Tyler gets back, we must first determine the total cost of his 7-day snowboarding trip with the discount.

Tyler plans to snowboard for 7 days. A daily ticket costs $50. Since he is going to snowboard for 7 or more days, he gets a discount of $40 off the total.

Tyler goes to the ticket counter with $340. To find out how much change he gets back, we subtract the total cost from the amount he has:

$340 - $310 = $30

Therefore, Tyler will receive $30 in change.

The numbers are 71 and 19

Solution:

Let "x" be the larger number

Let "y" be the smaller number

Given that,

Sum of two numbers is 90

Therefore,

x + y = 90 ------ eqn 1

The larger number 14 more than 3 times the smaller number

Larger number = 14 + 3(smaller number)

x = 14 + 3y ------ eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

14 + 3y + y = 90

14 + 4y = 90

4y = 90 - 14

4y = 76

Divide both sides by 4

y = 19

Substitute y = 19 in eqn 2

x = 14 + 3(19)

x = 14 + 57

x = 71

Thus the numbers are 71 and 19

Answer:

(I) using the equation y=3x+1 at x=2 the length of Line DO is y=3(2)+1

Therefore y=7

(II) the coordinates At x=-3

Y=3(-3)+1=-8

Hence from (I) above also the coordinates are (7,-8)

Step-by-step explanation:

Step 1 :you declare variables

Step 2: you solve the equation at both points on the graph