The length of two sides of the right triangle ABC shown in the illustration are given. Find the length of the third side in centimeters. a=12cm and c=37cm

The maximum weight of objects which the container can hold as required is; 1.12 pounds.

As evident in the task content;

The maximum which the container can is able to hold is; 17.75 pounds.

However, there are two objects in the can in which case one weighs 6.53 pounds and the other weighs 10.1 pounds.

On this note, the total weight which the can can hold more is given as;

= 17.75 - 6.53 - 10.1

= 1.12 pounds.

Ultimately, the maximum weight which the container can hold more is; 1.12 pound.

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Therefore , the solution of the given problem of slope comes out to be the y-intercept value is 5.

A line's slope determines how steep it is. A gradient-based equation is referred to as having a gradient overflow. By dividing average horizontal difference (run) between 2 places by both the vertically change (rise) between those same two points, the slope is determined. The equation of a horizontal path is expressed as y = mx + b and is known as the hill form of an equation. The y-intercept of the line is located where the grade is m, b = b, and (0, b). In the case of the equations y = 3x - 7, the slope y y-intercept are (0, 7). The y-intercept is situated where the slope of the line is m and b is

Here,

Given :

that m=2, the point (x1,y1)=(— 3, —1)

Equation for the necessary straight line:

=>(y — y1)=m(x — x1)

=>y+1=2(x+3)

X=0 on the y-axis indicates that nothing is being measured.

=>y=2+3

The y-intercept value is 5.

Therefore , the solution of the given problem of slope comes out to be the y-intercept value is 5.

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Answer:

1. 26

2. x = 1.5

Step-by-step explanation:

1. C(0.7) means to plug in 0.7 into the equation

here, C(x) = 30x + 5. replace x with 0.7 to get

C(0.7) = 30*0.7 + 5= 26

2. C(x) = 30x + 5 = 50

30x+5 = 50

subtract 5 from both sides to isolate x and its coefficient

30x = 45

divide both sides by 30 to find x

x = 1.5

Answer:

300 degrees.

Step-by-step explanation:

a = 180 degrees

c = 180 - 60 = 120 degrees

The expression denominator is 1.

What is denominator?

In mathematics, a denominator is the lowest number in a fraction that indicates how many equal parts are divided into a whole. It is a fraction's divisor. In this case, the denominator is 4, thus there are four components overall.

Here the given is x-3+5

Now simplifying them

=> x-3+5 = x+2.

We know that the whole number or Integer always has 1 as Denominator. Then,

=> [tex]\frac{x-2}{1}[/tex]

Hence the denominator of the given is 1.

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Answer:

answer is 341

pls mark me as brainlliest

The solution of the compound inequality is -2 ≤ x ≤ 1 and -4 ≥ x ≥ -7.

An inequality that combines two other inequalities by using either "and" or "or" is referred to as a compound inequality. In certain cases, "and" won't be stated explicitly, but it is still understood. For instance, 1 x 3 simply means "x > 1 and x 3". However, a compound inequality using "or" is always explained in detail using "or." Compound inequalities may be divided into two categories: conjunction and disjunction.

The given compound inequality is:

1 ≤ | x + 3 | ≤ 4

As the equation contains a mod sign, we can write the inequality as follows:

1 ≤ x + 3 ≤ 4, and

1 ≤ - x - 3 ≤ 4

Simplify the first equation:

1 ≤ x + 3 ≤ 4

Subtract 3 from both the sides of the equation:

1 - 3 ≤ x + 3 - 3 ≤ 4 -3

-2 ≤ x ≤ 1

Simplify the second equation:

1 ≤ - x - 3 ≤ 4

Add 3 on both sides of the equation:

1 + 3 ≤ - x - 3 + 3≤ 4 + 3

4 ≤ -x ≤ 7

Convert the negative term to positive:

-4 ≥ x ≥ -7

Hence, the solution of the compound inequality is -2 ≤ x ≤ 1 and -4 ≥ x ≥ -7.

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Since in the diagram, transversal t cuts parallel lines a and b, an equation which is necessarily true include the following: B. m∠3 = m∠6.

In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Based on the diagram representing (showing) the two parallel horizontal lines a and b, we can reasonably infer and logically conclude that angle 3 (m∠3) and angle 6 (m∠6) forms a pair of alternate interior angles because line a is parallel to line b and transversal (t) cuts parallel lines a and b.

Similarly, angle 4 (m∠4) and angle 7 (m∠4) forms a pair of alternate interior angles because line a is parallel to line b.

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Answer:

Robert will spend $27 on shirts for the team.

Step-by-step explanation:

Therefore, Robert will spend $27 on shirts for the team.

Please let me know if this helped!!!

Answer:

To graph this linear relationship, we can plot two points on a coordinate plane: (3,12) and (5,20). These points represent the number of hours Jen babysits (x-coordinate) and the amount of money she earns (y-coordinate).

We can connect these two points with a line to form a linear equation that represents the relationship between the number of hours babysat and the money earned.

The slope of this line can be found using the formula: (change in y) / (change in x) = (20-12) / (5-3) = 8/2 = 4

Therefore, Jen earns $4 per hour by babysitting.

It is important to note that this is a linear relationship, and the earnings are proportional to the number of hours babysat. This means that for any number of hours babysat, the earnings can be found by multiplying that number by $4.

Step-by-step explanation:

Answer: For every hour she babysits, she earns $4. ✅

Step-by-step explanation:

To graph the linear relationship, we can start by plotting two points: (3,12) and (5,20).

This represents that for 3 hours of babysitting, Jen earns $12, and for 5 hours of babysitting, she earns $20.

We can then use these points to find the slope of the line, which is the rate at which her earnings change as the number of hours increases.

The slope can be found by using the formula: (change in y) / (change in x) = (20 - 12) / (5 - 3) = 8/2 = 4

This means that for every hour she babysits, she earns $4.

So, the equation of the line is : y = 4x + b

Where b is the y-intercept, which can be found by substituting one of the points into the equation.

For example, by substituting (3,12) in the equation:

12 = 4(3) + b

b = 0

So, she earns per hour $4. ✅

The average rate of change of the equation is 7

The average rate of change of an equation can be determine by using the formula below:

average rate of change = (f(x₂)- f(x₁)) / [x₂- x₁]

From the given information, f(x) = 2x²-5x-2 and x₁ = 2, x₂ = 4

average rate of change =  ([2(4)²-5(4)-2] - ([2(2)²-5(2)-2]) / (4- 2)

average rate of change = (10-(-4)) / 2

average rate of change = 14/2

average rate of change = 7

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Answer:

x = 4

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

We can write the following equation to find the value of x based on this information:

6x + 6 + 17x + 2 = 100

23x + 8 = 100

23x = 92

x = 4

Answer:

1,200 40×30=. h. h= hours

Answer:

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

Given is the parallelogram.

Area of a parallelogram:

Substitute the values and find the area:

Answer:

Step-by-step explanation:

180 - 110 = 70°

180 - 70 - 70 =

40°

Answer:
in attached image :)

By ASA (Angle side angle) theorem, triangle △ABD≅ triangle △CBD.

What is a triangle?

In Geometry, triangles are the type of polygons, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

Based on the sides of a triangle, a triangle is classified into 3 types, namely:

Scalene Triangle – All the sides are of different measures.

Isosceles Triangle – Two sides of a triangle are of the same measure and the remaining side has a different measure.

Equilateral Triangle – All the 3 sides of a triangle are of the same measure.

Based on the angles of a triangle, a triangle is classified into 3 types, namely:

Acute Angle Triangle – All the angles of a triangle is less than 90°.

Obtuse Angle Triangle – One of the angles of a triangle is greater than 90°.

Right Angle Triangle – One of the angles of a triangle is equal to 90°.

Now

As BD is common for both triangles ABD and CBD.

and

∠ADB=∠CDB=90°

also as DB bisects ∠ABC

∠ABD=∠CBD

Hence,

By Angle Side Angle theorem, triangle △ABD≅ triangle △CBD

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Answer:

The Answer is (D)

Step-by-step explanation:

When determining when a taxpayer wants to file as head, then the answer will become clearer when checking for their position on the house

Answer:

0 on the left side

Step-by-step explanation:

Let's review the information given to us to answer the question correctly this way:

     Juniors  Seniors   Totals

Yes       28         97          125

No       56         19           75

Totals   84        116          200

2. Find the probability of each of the events.

Let's recall that the formula of probability is:

P = Number of favorable outcomes/Total number of possible outcomes

A. P (a junior who did not attend prom)

P = Juniors who did not attend prom/Total number of students surveyed

P = 56/200

P = 7/25 (Diving by 8 numerator and denominator)

B. P (did not attend prom | senior)

P = Seniors who did not attend prom/Total number of seniors surveyed

P = 19/116

C. P (junior | attended prom)

P = Juniors who attend prom/Total number of students attended prom

P = 28/125

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Answer: the answer is -11

The result of the addition of the polynomials is -15x^3 + 4x - 11.

We have to note that the polynomials have to do with those kind of functions in which the power of x in the equation may range form 1 to infinity. We have in the question that the expression can be written as;

(−6x^3 + 3 −4x) − (14 − 8x + 9x^3)

Then we have;

−6x^3 + 3 −4x - 14 + 8x - 9x^3

We can now collect the like terms as follows;

−6x^3 - 9x^3 −4x  + 8x + 3 - 14

-15x^3 + 4x - 11

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Answer:

Step-by-step explanation:

no, it cannot be a triangle

all triangles add up to 180º

115.1+47.5+93= 255.6

255.6 doesn't equal 180, so no its not a triangle

The ratio of these two figures would be for every 1cm in image A, in image B there are 2cm. So the ratio would be 1:2

The ratio is a mathematical term that refers to the quantified relationship between two magnitudes that reflects a proportion, that is, the ratio is the way of representing the proportion between two magnitudes. In this case, the ratio refers to the length of each side of these triangles and their relationship to each other.

According to the above, the ratio could be 1:2 because the larger triangle has lengths that are twice the lengths of the sides of the smaller triangle. For example, the left side of the small triangle is 6 cm, while the left side of the large triangle is 12 cm.

It's a proportionality relationship twice as big. Therefore, the ratio would be 1:2.

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This statement is false. Two subspaces of R^n can have the same dimension but still be different.

Here are a few bullet points that elaborate on this:

Therefore, the statement "If s1 and s2 are subspaces of R^n of the same dimension, then s1 = s2" is not true in general.

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The shape of the parallelogram with vertices P(−4,0), Q(0,4), R(4,0), and S(0,−4) is a square

In order to get the shape using the vertices that we have, we would have to find the length of the diagonals

We have P(−4,0), Q(0,4), R(4,0), and S(0,−4)

The length of the diagonal PQ is given as:

PQ = [tex]\sqrt{(0-4)^2+(4-0)^2}[/tex]

= [tex]\sqrt{32}[/tex]

Next we have to solve for the length of the diagonal RS

RS = [tex]\sqrt{(4-(-4))^2+(0-(-4))^2[/tex]

RS = [tex]\sqrt{32}[/tex]

Since PQ = RS we would have to conclude that the shape is a square.

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Answer: 20%

Step-by-step explanation:

Im SOO sorry if i got it wrong but you make a porportion, it would look like this. 8.24/41.76 = x/100, were assuming x is the percent, we then do cross multiplication which would then look like. 41.76x=824. After this we want to seperate the variable so divide 41.76 on both sides.

Answer: C

Step-by-step explanation:

4x - 12y = -10

-3x + 10y = 10

In order to solve this using substitution method, you will have to

divide one equation by the coefficient of x or y

e.g. divide 4x-12y = -10 by 4 to get x-3y = -5/2

x = 3y-5/2

and substitute x for 3y-5/2 which is pretty complicated.

Not sure what you mean by "readily solved", though.