The sum of two numbers is 12.
When three times the first number is added to 5 times the second number, the result is 44.
Find the two numbers.
A 9 and 3
B) 8 and 4
C) 10 and 2
D) 7 and 5

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

For more questions on arc length

https://brainly.com/question/31341388

#SPJ8

The correct answer is (6x+8)^2.

To factor the expression, we can use the perfect square pattern. The perfect square pattern states that a binomial of the form a^2 + 2ab + b^2 can be factored as (a+b)^2.

In this case, we have a=6x and b=8. So, we can factor the expression as follows:

```

36x^2 + 96x + 64 = (6x)^2 + 2(6x)(8) + (8)^2

= (6x + 8)^2

```

As per the given function, the value of x is lies between the closed interval [0, 4].

The term function in statistics is defined as a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Here we have given that the function f is continuous and differentiable on the closed interval [0,4].

And we need to find correct statement about this interval.

As per the concept of function, we know that if there is a number c in the closed interval [a , b] such that f(c) ≥ f(x) for all x in [a , b].

Here let us consider that a be the number that has been selected.

So, based on the rule of function can be written as,

=> f(a) ≥ f(x)

where a lies between [0, 4].

To know more about function here.

https://brainly.com/question/28193995

#SPJ4

Answer: Answer below

Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.

we can verify our answer by doing 9x8 which equals 72.

Answer: 9

Step-by-step explanation:

bears divided by shelves = number of bears per shelf

72 bears divided by 8 shelves= 9 bears per shelf

Answer:

He still has 90.75 miles to go.

Step-by-step explanation:

228.4 (total) - 137.65 (distance traveled)

= 90.75

In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.

Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.

However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.

Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.

Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:

∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees

Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:

∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees

Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.

Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.

In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

for more such question on angles visit

https://brainly.com/question/25716982

#SPJ8

We are given the following sequence:

This is a geometric sequence since every subsequent term is determined by multiplying the previous term by a common ratio. That ratio is:

Therefore, the common ratio is 5.

Answer:

1.   x² + y² + 8x - 14y - 35 = 0

2.  x² + y² - 2x - 8y - 47 = 0

3.  x² + y² - 4x - 2y - 116 = 0

4.  x² + y² + 2x + 4y - 20 = 0

5.  x² + y² - 4x - 8y - 52 = 0

Step-by-step explanation:

General equation of a circle is:  x² + y² + 2gx + 2fy + c = 0

with center (-g, -f) and radius √(g² + f² - c)

1.  From inspection:  center (-4, 7)  and radius = √100 = 10

   Therefore, g = 4  and  f = -7

   √(4² + (-7)² - c) = 10  ⇒  65 - c = 100  ⇒  c = -35

   So,  x² + y² + 8x - 14y - 35 = 0

2.  From inspection:  center (1, 4)  and radius = √64 = 8

   Therefore, g = -1  and  f = -4

   √((-1)² + (-4)² - c) = 8  ⇒  17 - c = 64  ⇒  c = -47

   So,  x² + y² - 2x - 8y - 47 = 0

3.  From inspection:  center (2, 1)  and radius = √(11²) = 11

   Therefore, g = -2  and  f = -1

   √((-2)² + (-1)² - c) = 11  ⇒  5 - c = 121  ⇒  c = -116

   So,  x² + y² - 4x - 2y - 116 = 0

4.  From inspection:  center (-1, -2)  and radius = √25 = 5

   Therefore, g = 1  and  f = 2

   √(1² + 2² - c) = 5  ⇒  5 - c = 25  ⇒  c = -20

   So,  x² + y² + 2x + 4y - 20 = 0

5.  From inspection:  center (2, 4)  and radius = √72

   Therefore, g = -2  and  f = -4

   √((-2)² + (-4)² - c) = √72  ⇒  20 - c = 72  ⇒  c = -52

   So,  x² + y² - 4x - 8y - 52 = 0

Answer:

16.05

Step-by-step explanation:

first I realized 7 cents is .07% of 10 the I multiplied .07 times 15 then I added them up and got the answer

Answer: 4 2/3

Step-by-step explanation:

Because I said so

7. Radius of circle P = 2       Radius of circle Q = 1

Coordinates of the point of tangency (4,2)

The equation of the tangency line is x = 4

8. AB is not a tangent. BC² ≠ AB² + AC²

9. The three radii of the circle are; CB, CF and CD

A diameter of the circle is BD

A tangent of the circle is GE

A chord of the circle is BD

A secant of the circle is AD

A point of tangency is F

7. To find the radius, identify the diameter of the circle. For the diagram, it can be said that the diameter of the circle P is 4.

The radius then is 4/2 = 2.

The radius of circle q is 2/2 = 1

You could also use the formula

Distance = sqrt((x2 - x1)² + (y2 - y1)²)

8. √4² + √12² = √160

√13 = 169

Therefore AB is not tangent. It is less than BC

9. The line that cuts the circle into two halves is the diameter. The lines than further cuts the diameter into equal parts are the radii's

Find more exercises on finding diameter and radius;

https://brainly.com/question/23891151

#SPJ1

Answer:

wheres it at?

Step-by-step explanation:

#Everything4Zalo

Answer:

yes

Step-by-step explanation:

The angle m∠J  in the right angle triangle is 58.1 degrees.

One of the angle of a right tangle triangle is 90 degrees. The sum of

angles in a triangle is 180 degrees.

Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.

Hence,

tan ∠J = opposite / adjacent

tan ∠J = 15.1 / 9.4

∠J = tan⁻¹ 1.60638297872

∠J = 58.0909229196

Therefore,

m∠J = 58.1 degrees

learn more on right triangle here: https://brainly.com/question/22626760

#SPJ1

Step-by-step explanation:

x

\( {x}^{4} = x raiseto \: to \: 4\)

Answer:

Step-by-step explanation: a= E

b=D

c=A

Answer:

A. E

B. D

C. A

Step-by-step explanation:

Answer:

8100

Step-by-step explanation:

Hope this helps! ;)

Answer:

The probability of the combination {H, T and H} is 0.125.

Step-by-step explanation:

The sample space of flipping a quarter is:

S = {H and T}

The probability of both outcomes is same, i.e. P (H) = P (T) = 0.50.

It is provided that three quarters are flipped one at a time.

The outcomes of all the three quarters are independent of each other.

Compute the probability of the combination {H, T and H} as follows:

\(P(\text{H},\text{T and H}) = P(\text{H})\times P(\text{T})\times P(\text{H})\)

                        \(=0.50\times 0.50\times 0.50\\=0.125\)

Thus, the probability of the combination {H, T and H} is 0.125.

Answer:

√340=18.43

Step-by-step explanation:

using, pythogoras theorem.

we should find h , where p=14 and b=12

thank you

Answer:

the answer would be ≈18.4

Step-by-step explanation:

I used the pythagorean theorem to find the value for the hypotenuse and then rounded the answer by the nearest tenth to get approximately 18.4 , hope this helps!

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

Read more on rotation here: brainly.com/question/28854313

#SPJ1

Answer:

q = \(-\frac{17}{5}\)   or -3.4

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

If 50% is 15 then to find 100% you have to multiply 15 by 2

Because 50% is half of 2.

15•2=30

Answer:

30

Step-by-step explanation:

50%  half  100 so 15*2 is 30

The value of one fourth squared times one fourth raised to the zero power end quantity all raised to the second power is 1/256.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

From the information, the exponent illustrated will be:

= (1/4^2 × 1/4^0)²

= (1/16 × 1)²

= (1/16)²

= 1/16 × 1/16

= 1/256

The value is 1 / 256.

Learn more about exponents on:

brainly.com/question/13669161

#SPJ1

Answer: 1

Step-by-step explanation:

1/4 is equivalent to 2/8

3/8 - 2/8 = 1/8

Since you can only subtract 2/8 (or 1/4) from 3/8 once, one 1/4 can fit into 3/8.

Answer: 3x + 4y - 3z - 3 = 0

Step-by-step explanation:

with the given point (3, 0, 2), the plane is orthogonal to this line so it

has directional ratios (3, 4, -3)

therefore the given equation can be written as;

(x+2)/3 = (y-2)/4 = (z+1)/-3

so equation of the plane passing through point x1, y1 and z1 in the one point form is given as;

a(x-x1) + b(y - y1) + c(z -z1) = 0

abc represent the direction ratio

so we substitute

3(x-3) + 4(y-0) + (-3(z-2)) = 0

3x - 9 + 4y - 0 - 3z + 6 = 0

3x + 4y - 3z - 3 = 0

therefore the equation of the plane through the point is  3x + 4y - 3z - 3 = 0

Answer:

(3) ∠RNQ ≅ ∠ LPM

Step-by-step explanation:

Based on the image uploaded;

line MP is congruent to line  NQ

line ML is congruent to line  RQ

line LP is congruent to line RN

From line MP which is congruent to line  NQ, we can say that ∠RNQ ≅ ∠ LPM. That is, angle N of triangle RQN is congruent to angle P of triangle LMP

Thus, option 3 is the correct answer ( ∠RNQ ≅ ∠ LPM)

Answer:

C 120º because a triangle always need to have 180º adding all the sides

Answer:

106

Step-by-step explanation:

174-68=106

Answer:

It's C. it's 42

Step-by-step explanation:

Answer: A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

Step-by-step explanation:

To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.

Given dimensions:

Room length: 26 feet

Room width: 18 feet

Room height: 9 feet

Door dimensions:

Height: 6 feet 6 inches

Width: 4 feet

Window dimensions (each):

Width: 2 feet

Height: 2 feet 6 inches

A: Carpeting the floor:

To find the area of the floor, we multiply the length and width of the room:

Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.

To convert to square yards (since the carpet is sold per square yard), we divide by 9:

Floor area in square yards = 468 square feet / 9 = 52 square yards.

Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.

B: Wallpapering the walls:

To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:

Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.

Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.

C: Painting the ceiling:

To find the area of the ceiling, we multiply the length and width of the room:

Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.

Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:

Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.

Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.

Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.

D: Cost of the entire project:

Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling

= $936.00 + $297.00 + $33.25 = $1266.25.

Therefore:

A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

For more questions on cost

https://brainly.com/question/13574768

#SPJ11