Find the length of the hypotenuse, side c, of a right triangle with legs of length a = 6 and b = 12. Use a calculator to estimate
the square root to one decimal place.
6
12
The length of the hypotenuse, c, is approximately
The solution is

The pressure is 38.5 Newton per square meter (N/m²)

Temperature can be defined as the quantity that is used to measure the degree of hotness or coldness of a body in °Kelvin or ° Celsius.

When the pressure of a glass varies directly with the temperature, this means that once there is an increase in temperature there should be an increase in pressure of the medium too.

To calculate the new pressure the gas formula is used;

Where,

P1 = 18.9N/m²

T1 = 90k

V1 = 20m³

T2 = 110k

V2 = 12m³

P2 = X

P1V1/T1 = P2V2/T2

Make P2 the subject of formula;

P2 = P1V1T2/T1V2

P2 = 18.9×20×110/90×12

P2 = 41580/1080

P2 = 38.5 N/m²

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The destroyed angle is a rectangle specifically a parallelogram also having all the angles equal and equal to 90 degree.

Given, a destroyed angle

A destroyed angle is called a figure in Geometry also known as Rectangle.

A rectangle is a quadrilateral which is specifically a parallelogram also having all the angles equal and equal to 90 degree.

So, A destroyed angle is the quadrilateral which is specifically a parallelogram also having all the angles equal and equal to 90 degree.

Therefore, the destroyed angle is a rectangle.

Hence, The destroyed angle is a rectangle specifically a parallelogram also having all the angles equal and equal to 90 degree.

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Answer:

Volume of a pyramid with a sqaure base is 14.5 ft³.

The perimeter of a form represents the gap around it, the vicinity of a form is the surface or flat area that the shape covers (in 2D) even as the quantity of a form is the distance it occupies in actual lifestyles (in 3D).

The perimeter of the base is 8.7ft

The length of the side of the base is:

8.7÷4=2.175 ft

The area of the base

S=(2.175)² =4.730625 ft²

The volume of the rectangular pyramid =

V= 1/3 × area of its base ×area of heights

V = 1/3 × 4.730625 ×9.2

V≅ 14.3 ft³

Hence, the volume of a square base is 14.3 ft³.

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Answer:

Take away the equal sign , track the graph ( solid or dotted ) , determine the inequality sign by seeing the direction in graph are the few steps to be known while writing an inequality

Step-by-step explanation:

Linear inequalities are two mathematical expressions that are compared using the inequality symbol. The expression could be either just one or both numerical and algebraic.

Few steps which we need to know while writing an inequality

1. Identify the line's equation. Once we take away the equal sign, this gives us the fundamental shape of our inequality.

2. Keep track of whether the line is solid or dotted. Remember that in an inequality, solid lines denote ≤ or ≥ and dotted lines denote < or >.

3. Determine which direction your inequality sign will face by using the shading on the graph.

Take away the equal sign , track the graph ( solid or dotted ) , determine the inequality sign by seeing the direction in graph are the few steps to be known while writing an inequality

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The pairs of numbers that have HCF 4 and LCM 60 are : 4 and 60 , 12 and 20.

In this case, we must use the following relationship between HCF and LCM:

Number 1 + Number 2 = HCF x LCM

In other words, multiplying both factors equals multiplying the given numbers that we are looking for. We don't know the numbers yet, but we can get an idea of what they could be by calculating the product of the factors:

4 x 60 = 240

We know that the products should be 240 and that if the HCF is 4 , then both numbers can be divided by 4 as the highest factor, so let's write the multiple of 7:

4-digit multiples:

4, 8, 12, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60

By using, we can get an idea: if 60 x 4 = 240, all we need to do is find the other two numbers that result in 240:

So the pairs of numbers are 4 and 60 , 12 and 20.

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The slope of the line is - 3

The equation of the line is given by,

3x + 1y = 3

y = -3x + 3  ---(1)

The  slope- intercept form of a line is given by ,

y = mx + c    ---(2)

where ,m is the slope

c  is the y intercept

Comparing (1) and (2)

The slope of the line is , m = -3

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The graph is representing the function that is positive for the entire interval [-3 , -2] .

In the question ,

four graphs are given ,

we need to identify the graph of the function that is positive for the interval [-3 , -2] .

From the graphs given  , we observed  that

Graph1 :

the value of the function at -3 is 0 ,  and it is decreasing from [-3 , -2] . Thus the function is negative in the interval.

Grpaph2:

we can clearly see that the function has a positive value, through the interval [-3 , -2] .

In Graph3 :the value of the function is negative in the given interval .  and in Graph4 : the value of the function is both positive and negative in the given interval .

Therefore , the function represented by Graph 2 is positive .

The given question is incomplete , the complete question is

Which function is positive for the entire interval [-3 , -2] from the given graphs ?

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The sale price is $13.5 and discount is $1.5.

A price that is lower than the usual price.

Given that, a store sells a shirt at $15, and there is a discount of 10%.

Price reduced after discount = 10% of 15 = $1.5

Selling price = 15 - 1.5 = $13.5

Hence, The sale price is $13.5 and discount is $1.5.

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The solution to a linear equation can be found by balancing the variables.

A linear equation is one that carries a degree of one as its maximum value. None of the variables in these equations, thus, has an exponent greater than one. Moreover, the graph of these equations will always also be a straight line. A mathematical equation resembles a balance scale with identical weights on either side.

An equation remains valid even if the same integer is added to or subtracted from both sides. Similarly to this, an equation is accurate if the same integer is multiplied or divided into both sides. We place the constant on one side of the equation, and the variables on the other, and then we calculate the value of the unknown variable. This is how a linear equation with a single variable is solved.

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There will be 35 chocolate bar cut out from the 13-meter chocolate bar.

Division is breaking a number up into an equal number of parts.

Given that, Willy Wonka makes a 13-metre chocolate and the chocolate bar is then cut into 4/11 of a metre.

Number of bars made = 13/4/11 = 35.75 ≈ 35

Hence, There will be 35 chocolate bar cut out from the 13-meter chocolate bar.

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The value of the solution is 6.6%

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1. There is no other way to arrange the components of set A, as you can see.

Combinations exist when the order doesn't matter, but permutations exist when it does. A permutation might be described as an ordered combination. The following formula determines how many permutations of n objects, taken r at a time: P(n,r)=n!

According to the above question :-

= (3 × 4)C3 × (52 — 3 × 4)C(5 — 3) / 52C5

= 12C3 × 40C2 / 52C5

= 12! × 40! × 47! × 5! / (52! × 9! × 3! × 38! × 2!)

= 12!/9! × 40!/38! × 47!/52! × 5!/(3!2!)

= ((10 × 11 × 12) × (39 × 40) / (48 × 49 × 50 × 51 × 52)) × (5 × 4 / 2)

= 10 × (1 × 11 × 1 × 3 × 40) / (4 × 49 × 5 × 51 × 4)

= (10 × 40 / (4 × 5 × 4)) × (11 × 1 / (49 × 17))

= 5 × 11 / (49 × 17)

= 55 / (17 × (50 — 1))

= 55 / (850 — 17)

= 55 / 833

≈ 6.6%

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Applying the exterior angles and triangle sum theorems, the statements that are true are:

C. m∠5 + m∠6 = 180°

D. ∠2 + m∠3 = m∠6

E. m∠2 + m∠3 + m∠5 = 180°

All three interior angles of a triangle is equal to a sum of 180 degrees, based on the triangle sum theorem, while the exterior angle theorem states that the exterior angle of a triangle is equal to the two remote interior angles of the triangle.

Given the image showing the triangles and its exterior angles, the following can be deduced:

m∠2 + m∠3 + m∠5 = 180° [based on the triangle sum theorem]

m∠2 + m∠3 = m∠6 [based on the exterior angles theorem]

m∠5 + m∠6 = 180° [based on the triangle sum theorem]

Therefore, the true statements are:

C. m∠5 + m∠6 = 180°

D. ∠2 + m∠3 = m∠6

E. m∠2 + m∠3 + m∠5 = 180°

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Answer: 12 inches

Step-by-step explanation:

Answer: 15 cm

Step-by-step explanation:

Answer:

BM = 20m

YZ = 13m

m∠B = 39

m∠M = 34

m∠Y = 107

Step-by-step explanation:

CM = 16m

BM = 20m

YZ = 13m

m∠B = 39

m∠M = 34

m∠Y = 107

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The straight line has the equation, y = 5x - 4.

A straight line is made up of an infinite number of points that are joined on both sides of the point.

Any straight line's slope 'm' is given by:

m = y2 - y1 / x2 - x1

In slope-intercept form, a linear equation has the formula y = mx + b. The variables in the equation are X and Y. The values m and b represent the slope (m) of the line and the value of y when x = 0.

The obtained points from the graph are (0,-4) and (1,1)

The slope is ,

m = 1-(-4) / 1-0

   = 5/1

   = 5

Because it intersects the y-axis at the point where the intercept C = -4,

The line's equation will be:

⇒ y = mx + c

⇒ y = 5x + (-4)

⇒ y = 5x - 4

As a result, the equation for the straight line shown below is y = 5x - 4.

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The points of concurrency of perpendicular bisectors of triangle is circumcenter.

A point of concurrency shared by three or more lines is referred to as a single point of concurrency. Constructed lines in triangle interiors are excellent places to look for points of convergence.

When you construct a triangle's medians, perpendicular bisectors, angle bisectors, or altitudes, you create a point of concurrency for each of them.

Because the triangle can have four distinct types of line segments, it can have four distinct points of convergence. Each point of concurrency represents the intersection of a particular type of line segment: centroid, circumcenter, incenter, and orthocenter.

Thus, the points of concurrency of perpendicular bisectors of triangle is circumcenter.

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The  value of this expression when w = -5 in w² +  3w - 11 is -1

Algebraic expressions comprises of at least one variable and one operation, it is an expression built up from integer constants, variables, and the algebraic operations

We need to find the value of this expression when w = -5 in w² +  3w - 11

After substituting the value of x as 5, we get the expression as

5² + 3(-5) - 11

25 - 15 - 11

25 - 26

= -1

Therefore, the value of this expression when w = -5 in w² +  3w - 11 is -1

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The most general interpretation of the linear equation 11 - y = 3 is:

"The difference between 11 and a number is equal to 3"

Here we have the following linear equation:

11 - y = 3

Which only depends on the variable y, that we assume it can take any real number as its value.

The linear equation says that if we subtract the number y from eleven, the outcome is 3.

Or we can use other words, like: "The difference between 11 and a number is equal to 3"

Where subtraction and difference are words that reffer to the same operation, which is the subtraction: A - B.

So that is the correct (and more general) interpretation of the linear equation.

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Answer:

Step-by-step explanation:

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The Punnett square is a square diagram that is used to predict the genotypes of a particular cross or breeding experiment.

The genotypes of a certain cross or breeding experiment are predicted using the Punnett square, a square diagram. It bears Reginald C. Punnett's name, who developed the method in 1905. Biologists use the graphic to estimate the likelihood that a child will have a specific genotype.

The likelihood that a cross would produce children with a specific genotype is represented by a Punnett square. It does not depict live children. For instance, the Punnett square in Figure 3 demonstrates that there is a 25% chance that the cross Aa x Aa will produce homozygous recessive offspring.

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Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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Answer:

The product of 5 and the sum of 3 and 1 is 20

Step-by-step explanation:

Equation:

5*(3+x)=20

15+5x=20

5x=5

x=1

The root domain in the DNS system of the Internet is a domain that is indicated by an empty name (i.e., containing no characters).

Each domain is split from the next when you enter a domain name, and there may also be a dot at the end of the name to demarcate the empty name for the root domain. If this dot is present and in its proper location, such as "www.example.com," the domain name is regarded as full (absolute). The name is regarded as relative if there isn't a dot at the end ("www.example" or "www.example.com").

Even if the phrase "root domain" was frequently used, the primary domain name of the website is the one that must be purchased or registered with a TLD extension.

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Answer:

Step-by-step explanation:

2/3 = 1/2x

2/3 / 1/3 = x

x = 4/3

Answer: The answer is 4/3

Step-by-step explanation: I have my ways ;>

An isosceles triangle therefore has both two equal sides and two equal angles.

What is traiangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

What is isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Any triangle with (at least) two equal sides is said to be isosceles. The remaining side in the previous illustration has length in addition to the two equal sides. This characteristic equates to the triangle's two angles being equal. Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg).

An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal. Therefore, an equilateral triangle is a specific example of an isosceles triangle that has equal sides and angles on all three of its faces. The isosceles right triangle is yet another unique instance of an isosceles triangle.

The Pythagorean theorem can be used to determine the height of the isosceles triangle shown in figure:

[tex]h = \sqrt{b^2-\frac{1}{4}a^2 }[/tex]

Consequently, the region is given by:

A=1/2ah

A = [tex]\frac{1}{2}a\sqrt{b^2-\frac{1}{4}a^2 }[/tex]

[tex]A = \frac{1}{2}a^2\sqrt{\frac{b^2}{a^2}-\frac{1}{4} }[/tex]

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The center of the circle is (-9, -6).

What is the center of the circle?

A circle's center is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

Here, we have

The equation of a circle is written as:

(x - h)² + (y - k)² = a²

Where (h, k) is the center and a is the radius of the circle.

Where (h, k) is the center and a is the radius of the circle.

(x + 9)² + (y + 6)² = 10² (Given)

From the equation, the center of the circle is (-9, -6)

The radius of the circle is 10.

In general form, the equation can be written as

x² + 18x + 81 + y² + 12y + 36 = 100

x² + y² + 18x + 12y + 17 = 0

Hence, the center of the circle is (-9, -6).

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Answer: 96

Step-by-step explanation:

The range and the domain of the function f(x) =  1 - x^2 is less than or equal to 1 and all values of x are a real number (R).

Domain: x ∈ R

Range: f ( x ) ≤ 1, ∈ R

f ( x ) = 1 − x^2 is defined for all Real values of x, and therefore the domain is all real values ( R ).

x^2 has a minimum value of 0 (for x ∈ R ) and therefore − x^2 has a maximum value of 0 and − x^2 + 1 = 1 − x^2 has a maximum value of 1.

Therefore f (x) has a maximum value of 1 and the range of f ( x ) is ≤ 1.

So, the range of f(x)≤ 1, and the domain is all real values ( R ).

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Answer:

x=6, y=9

Step-by-step explanation:

1.) Since you are substituting, you plug 6 (X) in wherever you have X in the other equation. You will get y = 2*6 -3.
2.) Simplify. By simplification, you will get y=12-3=9. Therefore, x=6, y=9.

Answer: 36 cm= 8, 112 cm=1.25, 183.75 cm= 12.25