I need help with these questions

1) The length of a rectangular room is five less than double the width, w, of the room. Write an expression to represent the area of the room.

2) A parking area is 8 meters by 10 meters. How much will each side have to increase the area by 88 square meters?

If segment RT is the midsegment of AQSU and RT = 47, then QU is equal to 94.

A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is an essential tool in solving various problems related to triangles, including the one presented in this question.

In this problem, we are given that segment RT is the midsegment of AQSU. This means that RT connects the midpoints of two sides of the triangle AQSU. Let us denote the midpoint of AU as M and the midpoint of QS as N. Then, we can say that RT is equal to MN.

We are also given that RT = 47. Therefore, we can conclude that MN = 47.

Now, we can use the concept of midsegments to find the length of QU. Since RT is the midsegment, it is parallel to the third side of the triangle, QS. Therefore, we can use the midpoint theorem, which states that a line segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Using this theorem, we can say that MN is parallel to QS and half its length. Therefore, QU is twice the length of MN, which is 2 x 47 = 94.

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Answer:

The measure of angle CXA is 134°

Step-by-step explanation:

* Lets explain how to solve the problem

- Triangle ABC is an isosceles triangle where AB = BC

∵ AB = BC

- The base angles in the isosceles triangle are congruent

∴ m∠BAC = m∠BCA

∵ m∠ BCA = 46° ⇒ given

∴ m∠ BAC = 46°

- The sum of the measures of the interior angles in any triangle is 180°

∵ m∠BAC + m∠BCA + m∠ABC = 180°

- Substitute the values of angle BAC and BCA in the equation above

∴ 46 + 46 + m∠ABC = 180

∴ 92 + m∠ABC = 180

- Subtract 92 from both sides

∴ m∠ABC = 88°

- BF , AD , CE are bisectors segments of angles B , A , C and they are

 intersected at point X

∵ CE bisects ∠BCA

∵ X ∈ CE

∴ m∠XCA = 1/2 m∠BCA

∴ m∠XCA = 1/2 (46) = 23°

∵ AD bisects ∠BAC

∵ X ∈ AD

∴ m∠XAC = 1/2 m∠BAC

∴ m∠XAC = 1/2 (46) = 23°

- In Δ AXC

∵ m∠XAC = 23° ⇒ proved

∵ m∠XCA = 23° ⇒ proved

∵ m∠CXA + m∠XAC + m∠XCA = 180° ⇒ interior angles of Δ

Substitute the values of angles XAC and XCA

∴ m∠AXC + 23 + 23 = 180

∴ m∠CXA + 46 = 180

- Subtract 46 from both sides

∴ m∠CXA = 134°

* The measure of angle CXA is 134°

Answer: I also have this question and because everybody is saying 134 I believe it is 132. So I hope this helps.

P.S If possible please mark it as the brainliest. thanks

Answer:

Step 1:

Let x represent the amount of each friend donate

Website keeps = 5%

Total funding I receive = $ 47.50

4.75x = $47.50

Step 2:

4.75 = $47.50       - Write the equation

\(\frac{4.75x}{4.75}\) = \(\frac{47.50}{4.75}\)            - Divide both sides of the equation by 4.75

The solution is x = 10

ANSWER: Each friend donates $10

hope this helps Have a good day.

Each friend donates $10.

It is required to find How much does each friend donate.

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given :

The website keeps 5% of each donation.

Five of your friends each donate the same amount.

Total funding receive is $47.50.

Let x represent the amount of each friend donate

According to question we have,

4.75x = $47.50

Divide both sides of the equation by 4.75 we get,

x = 10

Therefore, each friend donates $10.

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The LU factorization of matrix A is A = LU, where L = [[1, 0, 0], [-2, 1, 0], [1.5, -3, 1]] and U = [[4, -8, 10], [0, 24, -27], [0, 0, -12.5]].

Let's go step by step to find the LU factorization of matrix A.

Matrix A:

A =

[4, -8, 10]

[-8, 8, -7]

[6, -7, 3]

Step 1:

Initialize the L matrix as an identity matrix of the same size as A.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 2:

Perform Gaussian elimination to obtain U.

- Multiply the first row of A by (1/4) and replace the first row of A with the result.

A =

[1, -2, 2.5]

[-8, 8, -7]

[6, -7, 3]

- Subtract 8 times the first row of A from the second row of A and replace the second row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[6, -7, 3]

- Subtract 6 times the first row of A from the third row of A and replace the third row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Step 3:

Update the L matrix based on the operations performed during Gaussian elimination.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 4:

The resulting matrix A is the upper triangular matrix U.

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Therefore, the LU factorization of matrix A is:

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

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Answer:

Step-by-step explanation:

Step-by-step explanation:

We can find the perimeter of a rectangle by adding together the length and width and then multiplying that sum by 2.

The width is 4/5 * 3 1/4 = 4/5 * 13/4 = 13/5 = 2 3/5.

3 1/4 + 2 3/5 = 3 5/20 + 2 12/20 = 5 17/20

5 17/20 * 2 = 117/20 * 2 = 117/10 = 11 7/10 in.  

Answer:

the ratio is 1 : 1.75

Step-by-step explanation:

In a case whereby a ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the​ ground at t = 2.5 or -3.5.

Height of building = 140 ft

Initial velocity, u = 16 ft/sec

the equation given is

h = -16t² -16t +140

h(t) = -16t² -16t +140

AT h(t) = 0 , We can divide by -2 and have

(8t² + 8t - 70) = 0

8t² + 8t - 70 = 0

Then if we solve with quadratic equation formula where  a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then  t = 2.5 or -3.5

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complete question;

A ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the​ ground?

Answer:

............................

In linear equation, 24.9  tall is the tree .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

We can set up a proportion comparing the height of each object to the length of the shadow.

     h/15 = 21.1/12.7

     h = 1.66 * 15  

   h   = 24.9

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The value of the number is 57/16

The mathematical statement is given as:

Nine times a number y subtracted from 85 is seven times the sum of four and y

Remove the above mathematical statement as an algebraic expression

85 - 9y = 7(4 + y)

Open the bracket

85 - 9y = 28 + 7y

Collect the like terms

9y + 7y = 85 - 28

Evaluate the like terms

16y = 57

Divide both sides by 16

y = 57/16

Hence, the value of the number is 57/16

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In this problem, we are given the function f(x) = 3 + x / (2 - x). We need to determine the equation of the tangent line to f(x) at x = 10.

To find the equation of the tangent line to f(x) at x = 10, we first find the derivative of f(x) with respect to x, denoted as f'(x). The derivative represents the slope of the tangent line at any given point on the function.

Taking the derivative of f(x) using the quotient rule and simplifying, we obtain f'(x) = 5 / (2 - x)^2.

Next, we evaluate f'(x) at x = 10 to find the slope of the tangent line at that point. Substituting x = 10 into f'(x), we get f'(10) = 5 / (2 - 10)^2 = 5 / 64.

Now, we have the slope of the tangent line, and we also know that the tangent line passes through the point (10, f(10)). Substituting x = 10 into f(x), we find f(10) = 3 + 10 / (2 - 10) = -7.

Using the point-slope form of the equation of a line, which is y - y₁ = m(x - x₁), we can plug in the values of the slope (m = 5/64) and the point (x₁ = 10, y₁ = -7) to obtain the equation of the tangent line.

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Answer:

1/5 miles per minute

Step-by-step explanation:

1/10 is equivalent to 1/2 so you multiply both by 2:

1/5 is equivalent to 1

If Nasim invests money in an account paying a simple interest of 1. 3% per year and he invests $70 and no money will be added or removed from the investment, the amount he will have in one year is 70 dollars and 91 cents

Simple interest refers to the interest that is calculated on the original amount or the principal. Simple interest is calculated by:

Interest = P * r * t

where P is the principal

r is the rate of interest (in decimal)

t is the time

Given in the question,

P = $70

r = 1.3% = 0.013

t = 1 year

Interest = 70 * 0.013 * 1

= $0.91

Amount = P + i

where P is principal

i is interest

A = 70 + 0.91

A = $70.91

The amount that Nasim has after 1 year is $70.91.

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Answer: a. 50 African Americans

b. Pool B will have a smaller​ p-value because that pool's number of AA people is further from the hypothesized number of AA people.

Step-by-step explanation:

Answer: total amount after 1 year will be 44759 + 4028.31 = 48,787.31

Step-by-step explanation:

SI = prt / 100

= 44759 x .09 x 1

= 4028.31

It would cost approximately $1.10 to use the clothes washer.

To calculate the cost of using the clothes washer, you'll need to multiply the energy usage (in kilowatts) by the duration (in hours) and the cost per kilowatt-hour. In this case, the clothes washer used 2.6 kilowatts for 0.9 hours and the electricity cost is $0.47 per kilowatt-hour.

To find the total cost, use the following formula:

Total cost = Energy usage (kilowatts) × Duration (hours) × Cost per kilowatt-hour

Plug in the given values:

Total cost = 2.6 kilowatts × 0.9 hours × $0.47 per kilowatt-hour

Total cost = $1.1046

To find the cost to the nearest penny, round the result to two decimal places:

Total cost = $1.10

So, it cost approximately $1.10 to use the clothes washer.

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The angle between lines AB and BD in cube ABCD A1B1C1D1 is 90 degrees, In a cube, all of the angles are 90 degrees.

This is because a cube is a regular hexahedron, which means that all of its faces are squares. Since squares have four right angles, all of the angles in a cube are right angles.

The lines AB and BD in cube ABCD A1B1C1D1 are both face diagonals. A face diagonal is a diagonal line that connects opposite vertices of a face. In a cube, all of the face diagonals are the same length.

This is because the faces of a cube are all squares, and the diagonal of a square is always the same length as the side of the square.

The angle between two lines is the angle between their two directions. In this case, the directions of lines AB and BD are the same, because they are both face diagonals. Therefore, the angle between lines AB and BD is 90 degrees.

In addition to the above, here are some other ways to prove that the angle between lines AB and BD in cube ABCD A1B1C1D1 is 90 degrees:

You can use trigonometry.

You can use the law of cosines.

You can use the law of sines.

All of these methods will lead to the same conclusion, which is that the angle between lines AB and BD in cube ABCD A1B1C1D1 is 90 degrees.

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\((\frac{1}{sin\alpha } -sin\alpha )(\frac{1}{cos\alpha } -cos\alpha )=cos\alpha *sin\alpha \\\\\\(\frac{1}{sin\alpha } -\frac{(sin\alpha)^2}{sin\alpha} )(\frac{1}{cos\alpha } -\frac{(cos\alpha)^2}{cos\alpha } )=cos\alpha *sin\alpha \\\\\\(\frac{1-(sin\alpha )^2}{sin\alpha } )(\frac{1-(cos\alpha)^2 }{cos\alpha } ) = cos\alpha *sin\alpha\\\\\\(\frac{(cos\alpha)^2 }{sin\alpha } )(\frac{(sin\alpha )^2}{cos\alpha } )=cos\alpha *sin\alpha\\\\\\cos\alpha *sin\alpha = cos\alpha *sin\alpha\)

Identities used

Hope it helped!

p.s. If you can give me a brainly, it would help a lot since the formatting of these equations were a lot of work

136.5 percent chance.

91 percent in one hour

how much percent in 1.5 hour?

we need to find how much percentage is in 0.5 hour

91 divided by 2 = 45.5

91 + 45.5 = 136.5

Am i bad? pls tell

Answer:

22 inches

Step-by-step explanation:

Hello!

We are given a 30-60-90 triangle. The angles of the triangle are 30°, 60°, and 90°

The triangle is a right triangle, since one of the angles is 90° (it is a right angle)

We are also given the length of the side opposite from the 30° angle as 11 inches, and we want to find the length of the hypotenuse (the side OPPOSITE of the right angle)

In a right triangle, if we know the length of the side opposite from an angle measuring 30°,  then we know that the length of the hypotenuse is TWICE the length of the side opposite to 30°

In other words, if the length of the side opposite to the 30° angle is a, then the length of the hypotenuse is 2a

In this case, a would be 11, and since the length of the hypotenuse is 2a, if we plug 11 as a, it would be 2×11, which would mean the hypotenuse is 22 inches long

Hope this helps!

The value of y in the similar triangle is 36 units.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Therefore, triangle ACB is similar to triangle EFD.

Hence,

∠A = ∠E

∠C = ∠F

∠B = ∠D

Therefore,

\(\frac{AC}{EF}=\frac{AB}{ED}=\frac{CB}{FD}\)

EF = y

AC = 12

AB = x

ED = 3.8

CB =  15

FD = 5

\(\frac{12}{y} = \frac{x}{3.8}=\frac{15}{5}\)

Hence,

y = 12 × 3

y = 36

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Answer:  2144

Step-by-step explanation:

v = 4/3pir³

v = 4/3 (3.14) (8)³

v = 4/3 (3.14)(512)

v ≈ 2144

Answer:

2,143.57 cubit units.

Step-by-step explanation:

To find the volume of the sphere, use the formula given below.

Volume = 4/3π r³

Use this formula, the value given for the radius, and 3.14 for  to find the volume.

Volume = 4/3π r³

             ~~ 4/3 (3.14) (8 units)³

             ~~ 2,143.57 cubic units

Therefore, the approximate volume of the sphere is 2,143.57 cubic units.

Answer:

31/10, 3 1/9, 3.115, 3.45 in that order.

Step-by-step explanation:

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

The equivalent expression is (2x - 1)(3x - 5)

From the information given, we have the quadratic equation written as;

6x² - 13x + 5

Using factorization, we have that;

Find the product of the coefficient of x squared and the constant.

Then, find the pair factor of the product that add up to -13

We have;

6x² - 10x - 3x + 5

Group the expression in pairs, we get;

2x(3x - 5) - 1(3x - 5)

Then, we have the expression, we have;

(2x - 1)(3x - 5)

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Step-by-step explanation:

16 is tangent and the radial (12) is perpendicular

so this is a right triangle

   Use Pythagorean theorem

      ?^2  = 12^2 + 16^2

?^2 = 400

? = 20 units