In ΔRST, the measure of ∠T=90°, the measure of ∠S=16°, and ST = 2.9 feet. Find the length of TR to the nearest tenth of a foot.

Answer:

11.4

Step-by-step explanation:

12.5-2.2=10.3

10.3-1.5=8.8

8.8+2.6=11.4

The answer for it is diagram B because it does not cross or have parallel lines

Y=2x-1

Step-by-step explanation:

I am big brain

Answer:

y=2x-1

Step-by-step explanation:

You add 2x to the other side, then rearrange

As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

The area of the shaded portion of the composite figure could be easily 25*25 - 1/2*13*10 that is 625 - 65 = 560 feet

When referring to a two-dimensional space or points, in mathematics, the term "area" is used. It refers to a region's or a flat object's size, such a square or rectangle. The area of a form is determined in geometry by dividing the length by the breadth. For example, the area of a square with a side length of 4 units is 4 x 4 = 16 square units. Square units, such as square inches, square feet, or square meters, are used to measure area. Triangles (1/2 x base x height), circles ( x radius squared), and trapezoids (1/2 x (base 1 + base 2) x height) are other basic geometric forms with associated area calculations.

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Answer:c

Step-by-step explanation:

The set of numbers that best describes the number of people who participate in the race is given by: Option A: Natural numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

The count of people participating in the race is going to be in integers, but only non-negative.

Actually the correct option would be 'whole numbers' (whole numbers are 0, 1, 2, ... so they include 0 in addition to natural numbers). It is because it may be that no one participates in the race.

But for the given condition, assuming that at least 1 person participates in the race, we deduce that the number of people participating in race is needed to be a natural number. (as people's count can't be negative, or in fractions, or irrational(which doesn't include integers at all) ).

Thus, the set of numbers that best describes the number of people who participate in the race is given by: Option A: Natural numbers.

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Use a calculator 4 divided by 11= 0.36 (2dp)

The area of park in terms of scale drawing is 79200 square yards with scale drawing of a rectangular park is 8 inches wide and 11 inches long.

Area of rectangle=Length * width.

Given:

scale length of rectangular park = 11 inch =

scale width of rectangular park = 8 inch

scale length / actual length of park = scale width/ actual width of park

11/330= 8/ actual width of park

1/30 =  8/ actual width of park

actual width of park = 240

So,

Area = length* width

=330*240

= 79200 square yards

Hence, the area of the actual parking is 79200 square yards.

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If they are parallel:

Since the slope for y=-5x+8​ is m1=-5:

Let:

(x1,y1)=(0,2)

Using the point-slope equation:

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

If is perpendicular to the line equation y=1/2x-3:

Let:

(x1,y1)=(-5,2)

Using the point-slope equation:

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=5\\ b=7\\ h=4.5 \end{cases}\implies \begin{array}{llll} A=\cfrac{4.5(5+7)}{2}\implies A=\cfrac{4.5(12)}{2} \\\\\\ A=4.5(6)\implies A=27 \end{array}\)

Answer:

It's A

Because it said that x-4 is bigger than 13 so anything bigger than 13 is the answer

the answer is D

The figure can be divided into a rectangle and 2 triangles

Answer:

The original price of the shirt was Ksh 500 and it was sold for Ksh 550.

The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.

To find the percentage discount, we can use the formula:

percentage discount = (discount ÷ original price) × 100%

percentage discount = (-50 ÷ 500) × 100%

percentage discount = -10%

Therefore, the percentage discount is 10%.

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

D

Step-by-step explanation:

i am sure the answer is D

// appreciate if marked the answer as brainliest//

Answer:

18 options.

Step-by-step explanation:

Answer:

Pretty sure its B

Step-by-step explanation:

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:

0.250

Step-by-step explanation:

Given from the question, we know that the summation (adding all values together) of all P(x) values is equal to 1.

And, we do know that P(2) = P(4).

This means , we will subtract all the known P(x) values from 1 to get the value of P(2) + P(4).

P(2) + P(4) = 1 - 0.0425 - 0.3750 - 0.0625 - 0.0200 = 0.500

Since P(2) = P(4), we divide 0.500 by 2 to get the value of P(2) and P(4).

P(2) = P(4) = 0.500 ÷ 2 = 0.250

The answers of the divisions are 5.71, 0.75,2.72,0.07,24,5.33,1.17,0.44.

According to the statement

we have to give the perfect answers of the given statements with the help of the division.

So, For this purpose, we know that the

Division is the mathematical process of finding out how many times one number is contained in another.

From the given information:

The statements are:

1) 5/3 ÷ 2/7

1.6 ÷ 0.28

5.71

Then

2) 1/3 ÷ 4/9

0.33 ÷ 0.44

0.75

Then

3) 3/5 ÷ 2/9

0.6 ÷ 0.22

2.72

Then

4) 2/15 ÷ 5/3

0.13 ÷ 1.66

0.07

Then

5) 3 ÷ 1/8

3÷ 0.125

24

Then

6) 4 ÷ 3/4

4÷ 0.75

5.33

Then

7) 8/9 ÷ 3/4

0.88÷ 0.75

1.17

Then

8) 16/9 ÷ 4

1.77 ÷ 4

0.44

So, The answers of the divisions are 5.71, 0.75,2.72,0.07,24,5.33,1.17,0.44.

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Least time required to reach the point Q as per the distance and the speed rate is equal to 2 hours.

As given in the question,

Nearest point on the coast is 2 miles far away

rate of the row = 1mile per hour

Walk at the rate of 3 miles per hour

Let 'x' hours be the least time to reach point Q.

Time = distance / speed

Time taken to reach the point Q = [√ 1 + ( 3 - x)² ]/ 3

Time taken to reach the coast = (√ 4 + x² ) / 1

Total  time taken 't' = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3

To find least time dt/dx = 0

t  = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3

⇒dt/dx = [ x / √ 4 + x² ] + ( 3 - x) / √( 10 -6x + x² )

⇒x / √ 4 + x² = ( x - 3) / √( 10 -6x + x² )

Squaring both the side we get,

x² / (4 + x²) = ( x - 3)² / ( 10 -6x + x² )

⇒3x² -24x +36 =0

⇒ x² -8x + 12 = 0

⇒ x = 2 or 6 hours

Therefore , the least time taken to reach the point Q is equal to 2 hours.

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Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.

given

You can use a fraction to express the percentage 20%.

This is inferred from the fact that the sign for percentage,% means to divide by 100.

Therefore, it is important to understand that 20% equals 20/100, or 1/5.

As a result, the 20% tip represents one-fifth of the total.

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

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Answer: The height of the water was 2 inches before any water was added.

Answer

37 ,123.52

Explanation

the image above, hope it helps

Answer:

x = 3

\( LM = 26 \)

Step-by-step explanation:

Given:

\( LM = 8x + 2 \)

\( MN = 10x - 4 \)

Required:

Value of x and length of segment LM

SOLUTION:

Since M is the midpoint of line segment LN, it implies that:

\( LM = MN \)

\( 8x + 2 = 10x - 4 \) (substitution)

Combine like terms

\( 2 + 4 = 10x - 8x \)

\( 6 = 2x \)

Divide both sides by 2

\( \frac{6}{2} = \frac{2x}{2} \)

\( 3 = x \)

\( x = 3 \)

\( LM = 8x + 2 \)

Plug in the value of x

\( LM = 8(3) + 2 \)

\( LM = 24 + 2 \)

\( LM = 26 \)