24 feet is how many meters?

The given triangle  ∆QRT is isosceles triangle.

What is isosceles triangle?

  Triangles with two equal sides are referred to as isosceles triangles. Also equal are the two angles that face the two equal sides. To put it another way, "An isosceles triangle is a triangle with two congruent sides." Assume that the sides AB and AC of the triangle ABC are equal, in which case the triangle ABC is an isosceles triangle with B = C. According to the theorem, "if the two sides of a triangle are congruent, then the angle opposite to them is also congruent."

Here the given points are Q(-2,-1) , R(1,5) , T(-8,-4).

Using distance formula

Now , The Distance between the points can be measure as :

D=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

QR = [tex]\sqrt{(1+2)^2+(5+1)^2}[/tex]

=>QR=[tex]\sqrt{3^2+6^2} = \sqrt{9+36} =\sqrt{45}=3\sqrt{5[/tex] unit

Now RT = [tex]\sqrt{(-8-1)^2+(-4-5)^2} =\sqrt{9^2+9^2} \\[/tex]

=>RT=[tex]\sqrt{81+81}=\sqrt{162} = 9\sqrt{2}[/tex] unit

Now TQ  = [tex]\sqrt{(-2+8)^2+(-1+4)^2} =\sqrt{6^2+3^2} \\[/tex]

=>TQ=[tex]\sqrt{36+9}=\sqrt{45}=3\sqrt{5}[/tex] unit.

Here QR=TQ then

Hence the given triangle is isosceles triangle.

To learn more about isosceles triangle refer the below link

https://brainly.com/question/25812711

#SPJ9

Step-by-step explanation:

1 have to make number cross the top number n sce

You apply the rule for a pair of parallel angles cut by a line. So that means that 59 degrees equals 2x-15.

59=2x-15

59+15 = 2x

74=2x

x= 37

"The population of the culture 6 days after inoculation is 1,000(1.15)^6 ; 2313 bacteria"

Initial inoculated bacteria = 1000

Growing rate of bacteria = 15%

we have to find the population of the culture after 6 days

y = 1000 ( 1 + 15/100)^6

y= 1000 (1.15)^6

y = 1000(2.313060)

y = 2313.06 ≈ 2313

The population of the culture 6 days after inoculation is 2313.

To know more about population here

https://brainly.com/question/15522417

#SPJ1

Answer: how did u get a pfp

Step-by-step explanation:

a) The binomial distribution is suitable to use when:

b) The probabilities are given as follows:

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

The binomial distribution is used when there is a fixed number n of trials, with each trial having only two possible outcomes, success or failure, and trials are independent, that is, the probability of success on any trial is the same.

For item b, the parameter p is obtained as follows:

The sum of all the probabilities is of one, hence:

5 x 0.5p + p = 1

3.5p = 1.

p = 1/3.5

p = 0.2857.

For item i, the probability is obtained as follows:

Hence:

p = (1 - 0.2857)^5 x 0.2857 = 0.0531 = 5.31%.

For item ii, the probability is P(X = 3) when n = 8, hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{8,3}.(0.2857)^{3}.(0.7143))^{5} = 0.2428[/tex]

More can be learned about the binomial distribution at https://brainly.com/question/24756209

#SPJ1

The smallest number of bags the groundskeeper must buy to cover the circular field is 4.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

The longest line which can be drawn inside the circle will be the diameter.

The perimeter of the circle = 2πr where r is the radius of the circle.

As per the given,

Diameter of the circular field = 290 feet

Radius = 290/2 = 145

Area of circle = πr² = π(145)²

⇒ 66051.985 feet²

In one bag = 50 pounds

Area cover in one bag = 50 × 400 = 20000

Number of bags needed to cover the whole area

⇒ 66051.985/20000 = 3.3025

Since the number of bags is a whole quantity thus it will round up to 4.

Hence "The smallest number of bags the groundskeeper must buy to cover the circular field is 4".

To learn more about the circle,

https://brainly.com/question/266951

#SPJ1

Answer:

12 ÷ 3 = 24 ÷ 6

Step-by-step explanation:

12/3 = 4 and 24/6 = 4

So 4 = 4

The solution to the questions are:

From the question, we have the following parameters that can be used in our computation:

Length = 350 - 2x

Width = x

The area of a rectangle is the product of its dimensions

So, we have

Area = Length x Width

Substitute the known values in the above equation, so, we have the following representation

A = (350 - 2x) * x

Evaluate

A = 350x - 2x²

Differentiate and set to 0

350 - 4x = 0

So, we have

4x = 350

Divide by 4

x = 87.5

Recall that

Length = 350 - 2x

So, we have

Length = 350 - 2 x 87.5

Evaluate

Length = 175

The area is then calculated as

Area = Length x Width

So, we have

Area = 175 x 87.5

Evaluate

Area = 15312.5 square meters

Hence, the area is 15312.5 square meters

Read more about rectangles at

brainly.com/question/25292087

#SPJ1

The rules for transformation of first graph is (x + 4, y + 6).

The rules for transformation of second graph is (x + 4, y + 6).

Transform the forms on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century. In geometry, object transformations are the foundation for the majority of proofs.

In first graph it is clear that the graph is translated and the rule for first graph is (x + 4, y + 6).

Similarly, the second graph is also translated and the rule is (x+3, y).

Therefore, the rule for first graph is (x + 4, y + 6) and the rule for second graph is (x + 4, y + 6).

To learn more about Linear Inequalities visit here:

https://brainly.com/question/27895117

#SPJ13

The distance between the points M=(-4, 9 ) and L=(-1. 1) in the coordinate plane is [tex]\sqrt{73}[/tex].

Explain Coordinate Plane.

In a plane, a Cartesian coordinate system is a system of a coordinate that designates each point uniquely by a pair of numerical coordinate in a plane, which are the signed distances from two fixed perpendicular oriented lines to the point on the same plane, measured in the same unit of length.

Solution Explained:

Using the distance formula, we have

[tex]\sqrt{(x_{2} - x_{1}) ^{2} + (y_{2} - y_{1}) ^{2} }[/tex]

Substituting the values using the values of the points

[tex]\sqrt{(-1 + 4) ^{2} + (1 - 9) ^{2} }[/tex]

[tex]\sqrt{(3) ^{2} + (-8) ^{2} }[/tex]

[tex]\sqrt{9 + 64}[/tex]

[tex]\sqrt{73}[/tex]

Hence, the distance between the two points is [tex]\sqrt{73}[/tex]

To learn more about coordinate plane, use the link given
https://brainly.com/question/10737082
#SPJ1

Answer:

I think its false

Step-by-step explanation:

Answer: True i think

Step-by-step explanation: If Nancy is two years older than Mark who is 13, then Nancy would be 15, 15 + 13 equals 28.

Answer:

1  1/2 gallons

Step-by-step explanation:

there are two pints in one quart so 2 quarts plus 8 pints equals

2 quarts plus 4 quarts, or 6 quarts

there are 4 quarts in one gallon so 6 quarts is the same as 1 gallon and 2 quarts

2 quarts is half of one gallon

Answer:

Step-by-step explanation: use your brain  please you will get it ahhh

Answer:

∴ Samantha ate [tex]\frac{1}{3}[/tex] of the pizza on Saturday.

Step-by-step explanation:

Fraction of pizza left on Friday = [tex]1-\frac{1}{2}[/tex]

                                                   = [tex]\frac{1}{2}[/tex]

∴ Fraction of pizza eaten on Saturday = [tex]\frac{2}{3}[/tex] × [tex]\frac{1}{2}[/tex]

                                                               = [tex]\frac{1}{3}[/tex]

Example:

120 and 45

10 and 12 can go into 120. 10 can go into 5 and 2, while 12 can go into 3 and 4. 4 can be still divisible, so it would be 2 and 2.

45 is 9x5. 9 can be divisible, so you would turn them into 3 and 3.

The LCM will be the product of the largest multiple of each prime that appears on at least one list. For example, we have a 2, 3, and 5, so I’ll choose the largest multiples of each and find their product. There are three 2's, three 3's, and 5, or 8 x 9 x 5. That would get you 360.

See how you could get that with your problem?

P.S. I don't answer questions directly, instead, I use examples. Feel free to use other suggestions if this one doesn't appeal to you.

Answer:

30 gallons of gas is left

Step-by-step explanation:

1680 is what we start with

25 filled with 24

25*24=600

35 filled with 30

35*30= 1050

So we take away what we used

600+1050= 1650

We started with 1680

1650 got taken away so

1680-1650= 30

30 gallons are left

Answer:

---------------------------------

Initial volume of gas in the storage tank is 1680 gallons.

Cars took:

Trucks took:

Gas left in the storage tank:

The total number of days for which the food supply will last is 37 days.

Given,

The number of days that the food supply would last is = ?

The number of pounds of grain = 10656 pounds

The number of cattle is = 24 cattle

The number of pounds eaten by each cow each day = 12 pounds.

Therefore if one cow eat 12 pounds a day then 24 cows=

12 × 24 = 288 pounds a day

Therefore if,

288 pounds = 1 day

10656 pounds = 10656/288

= 37 days

Therefore, the number of days that the food supply would last is  37 days.

Learn more about Solving expressions here:

brainly.com/question/24191335

#SPJ1

Answer:The answer is 4

Step-by-step explanation:BEcause of the mail´s mystery number

Proof:

L.H.S. = A - (B - C)

= A - (B ∩ C'), since A - B = A ∩ B'

= A ∩ (B ∩ C')'

= A ∩ {B' U (C')'}, since (A ∩ B)' = A' U B'

= A ∩ (B' U C)

= (A ∩ B') U (A ∩ C)

= (A - B) U (A ∩ C) = R.H.S.

∴ A - (B - C) = (A - B) U (A ∩ C)

Hence, This completely the proof.

Some properties of set algebra:

1. A U Φ = A, A ∩ Φ = Φ

2. A U U = U, A ∩ U = A

3. A U A = A, A ∩ A = A

4. A U (B U C) = (A U B) U C

5. A ∩ (B ∩ C) = (A ∩ B) ∩ C

6. A U (B ∩ C) = (A U B) ∩ (A U C)

7. A ∩ (B U C) = (A ∩ B) U (A ∩ C)

8. A U A' = U

9. A ∩ A' = Φ

10. (A U B)' = A' ∩ B'

11. (A ∩ B)' = A' U B'

12. A - B = A ∩ B'

13. A - (B ∩ C) = (A - B) U (A - C)

14. A - (B U C) = (A - B) ∩ (A - C)

15. A Δ B = (A - B) U (B - A)

16. A Δ B = B Δ A

To know more about algebra check the below link:

https://brainly.com/question/22399890

#SPJ1

Answer:

a=34π

b=64π

c=39π

d=25π

Step-by-step explanation:

The values of the vertical motion modelled by the quadratic function, h(t) = -16·t² + 54·t + 3 of the object are;

The maximum height reached is approximately 48.6 units

The time of flight is approximately 3.4 seconds

A quadratic function is a polynomial of the form y = a·x² + b·x + c, where the value of a is larger than or lesser than 0

First part;

The function, for the vertical motion, h(t) = -16·t² + 54·t + 3, is a quadratic function;

The maximum height is found by using the equation that gives the value of x at the maximum value, which is presented as follows;

At the maximum point, [tex]x = \dfrac{-b}{2\cdot a}[/tex]

From the equation, a = -16, b = 54, c = 3, and x = t, which gives;

[tex]t = \dfrac{-54}{2\times (-16)} = 1.6875[/tex]

The maximum height is therefore;

h(1.6875) = -16 × 1.6875² + 54 × 1.6875 + 3 = 48.6

The time the object is in the air is found using the equation;

h(t) = 0 = -16·t² + 54·t + 3

Using the quadratic formula, [tex]x= \dfrac{-b\pm \sqrt{b^2 - 4\cdot a \cdot c} }{2 \cdot a}[/tex], we have;

[tex]t= \dfrac{-54\pm \sqrt{54^2 - 4\times (-16)\times 3} }{2 \times (-16)}=\dfrac{27\pm \sqrt{777} }{16}[/tex]

The time of flight is therefore;

[tex]t=\dfrac{27+ \sqrt{777} }{16}\approx 3.4[/tex]

The time of flight is 3.4 seconds

Learn more about quadratic functions or equations here:

https://brainly.com/question/17105224

#SPJ1

3 kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper.

Given, we are asked to determine:

How many kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper = ?

convert kg to ounces.

6kg = 211.644 ounces.

90%x+15%(211.644)=40%(211.64+x)

0.9x+0.15(211.64)=0.4(211.64+x)

0.9x+31.7466 = 84.6576 + 0.4x

0.9x - 0.4x = 84.6576 - 31.7466

0.5x = 52.911

x = 52.911/0.5

x = 105.822

now convert ounces to kg.

= 3kg

Hence approximately 3 kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper.

Learn more about Solving expressions here:

brainly.com/question/723406

#SPJ9

I cant see the full sentence but yes it is because Q and P and both on the M line which is both 20

Mina uses 17/18 inches of chalk.

What is algebra?

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions. In algebra, we utilize integers with fixed or definite values, such as 2, 7, 0.068, etc. In algebra, we combine integers with variables like x, y, and z.

Here, we have

she used 1/3 of a piece of chalk that was originally 2 5/6 inches long.

Now, we have to find how many inches of chalk did she use?

= 1/3 × 2 5/6

= 1/3 × 17/6

= 17/18 inches.

Hence, Mina uses 17/18 inches of chalk.

To learn more about algebra from the given link

https://brainly.com/question/22399890

#SPJ1

Answer:

17/18

Step-by-step explanation:

Answer: no.

Step-by-step explanation: no.

Answer:9

Step-by-step explanation:um

The amount that the cell phone owner will pay for the overages is $14.91.

The overage is the difference between the actual usage in minutes and the estimated usage.

For instance, if the plan estimates that the phone usage per year would be 4,000 minutes, but the plan holder uses 4,010 minutes, the extra 10 minutes are regarded as overages.

The opposite of overages is underages.  If underages are part of the phone plan, the plan holder will be refunded accordingly.

Usually, overages attract a variable plan rate per minute.

Fixed charge per month = $35.98

Utilities tax APR = 6.5%

Overages = 40 minutes

Rate per overage minute = $0.35

The total charge for overage = $14 ($0.35 x 40)

Interest on the overages = $0.91 ($14 x 6.5%)

Total payment for the overages = $14.91 ($14 + $0.91)

Thus, for going over the plan by 40 minutes at $0.35 plus an APR of 6.5%, you will pay $14.91 for the overages.

Learn more about overages and underages at https://brainly.com/question/14470026

#SPJ1

The area of the rectangular garden that has a 70-meter path surrounding it is: 1,176 m².

Area = length × width

Perimeter of a rectangle = length surrounding a rectangular shape = 2(length + width).

Give the following:

Perimeter of the rectangular garden = 70 meter

Length = l

Width = 2/3l

Therefore:

l + 2/3l = 70

5/3l = 70

5l = 3(70)

5l = 210

5l/5 = 210/5

l = 42

Length = l = 42

Width = 2/3l = 2/3(42) = 28

Area of rectangular garden = 42 × 28 = 1,176 m².

Learn more about the area of rectangle on:

https://brainly.com/question/25292087

#SPJ1

The length of the garden is 63ft, in the rectangle

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral,

Quadrilaterals are typically four-sided closed shapes, and there are numerous varieties of them. Square, rectangle, rhombus, kite, and trapezoid are the most typical shapes. Four closed sides make up a quadrilateral. Quadrilaterals are the following figures: a four-sided figure. The form features a single set of parallel sides and no right angles.

The given perimeter is 210ft

let l be the length and 2/3 of l is the breadth.

We know that 2(a+b) = 210

2(l + 2/3l) = 210

5/3 l = 105

l = 105* 3/5 = 63ft

Hence the length of the garden is 63ft.

Learn more about rectangular by following the link below.

brainly.com/question/25292087

#SPJ1