10. For Triangle ABC, if AB = 10 mm, BC = 19 mm, and CA = 15 mm, what is the SMALLEST angle measure? * O Angle A O Angle B Angle C O Cannot be determined

Answer:

28 – 16 ÷ 8 – 4382224 = -4382198

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

28 + 12x = 8x + -4

Reorder the terms:

28 + 12x = -4 + 8x

Solving

28 + 12x = -4 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

28 + 12x + -8x = -4 + 8x + -8x

Combine like terms: 12x + -8x = 4x

28 + 4x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0

28 + 4x = -4 + 0

28 + 4x = -4

Add '-28' to each side of the equation.

28 + -28 + 4x = -4 + -28

Combine like terms: 28 + -28 = 0

0 + 4x = -4 + -28

4x = -4 + -28

Combine like terms: -4 + -28 = -32

4x = -32

Divide each side by '4'.

x = -8

Simplifying

x = -8

An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

A piece of material measures 38 inches.

Courtney cuts the piece of material into two pieces.

One piece measures 19 inches.

Let x be the length of other pieces.

An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x

Therefore, 19 + x = 38 is an addition equation.

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The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.

In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.

An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.

There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.

The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.

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Answer:

gx4=48

Step-by-step explanation:

gx4=48

g=12 (If you have to solve it).

Answer:

A=1.02P

Step-by-step explanation:

Well you have A=P +0.02P you take the common factor of p and get

A=P(1+0.02) which is equal to

A=P(1.02)

A=1.02P

Answer:

Step-by-step explanation:

1.A=p + 0.02p

A= p(1+0.02)

The statements that are correct about the triangles XYZ and PQR include the following;

PR is the hypotenuse of the right triangle PQR and

QR = c² - a². That is option A and B respectively.

A right angle triangle is defined as the type of triangle that has one of it's angles equal to 90° and the remaining two less than 90°.

According to the Pythagorean theorem which states that the sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).

That is, c² = a² + b².

The hypotenuse is the longer side of a right angle triangle, therefore, PR is the hypotenuse of the right triangle PQR.

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Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Answer:

1/3÷5

=1/3×1/5

=1/15

each child receive 1/15 of cake

Any percentage can be written as that number divided by 100. As a decimal, you find that quotient. You can quickly divide any number by 10 by moving the decimal place to the left for every 0 in that multiple of 10. 100 has 2 zeros, so all you need to do to divide by 100 is to move the decimal place 2 places to the left. Therefore, 60% is .6 as a decimal.

Let's say the number we want to find is x. In word problems, "of" indicates multiplication, so 60% of our number would be 6x.

We then add our number to that, giving us .6x + x

We know the result is 160, so

.6x + x = 160

Since any number multiplied by 1 is itself, that x can be written as 1x.

.6x + 1x = 160

Now, we combine our like terms; we add the numbers in front of the x's (aka coefficients).

(.6 + 1)x = 160

1.6x = 160

We want x by itself. 1.6 is multiplied by our number, so to undo multiplication, we do division. This leaves us with

x = 160/1.6

x=100

Answer:

10feet

Step-by-step explanation:

Given the following

Horizontal distance adjacent )= 15feet

Angle of elevation = 33.69°

Required

Height (opposite)

Using the SOH CAHTOA identity

tan theta = opposite/adjacent

tan 33.69 = H/15

H = 15tan33.69

H = 15(0.6667)

H = 9.999

H = 10feet to the nearesst foot

Answer:

(2;-2)

Step-by-step explanation:

for more details see the attached picture.

The volume of the conical mountain, to the nearest whole number, is approximately 143 cubic kilometers.

Volume of a cone = 1/3πr²h, where h os the height, r is the radius.

Given the following dimensions of the conical mountain:

Volume of the mountain = 1/3πr²h = 1/3π(6²)(3.8)

Volume of the mountain ≈ 143 km³

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Answer:

1320x^2y−4224x^2−3165xy+10128x+375y−1200

Step-by-step explanation:

(8x−1)(11x−25)(15y−48)

=((8x−1)(11x−25))(15y+−48)

=((8x−1)(11x−25))(15y)+((8x−1)(11x−25))(−48)

=1320x2y−3165xy+375y−4224x2+10128x−1200

=1320x^2y−4224x^2−3165xy+10128x+375y−1200

Answer:

5.0 if you love life

Step-by-step explanation:

The surface area of the sphere is 1810 cm²

A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of sphere is expressed as;

A = 4πr². where r is the radius.

A = 4 × 3.14 × 12²

A = 1809.7 cm²

approximately to the nearest whole number

A = 1810 cm²

Therefore the surface area of the sphere to the nearest whole number is 1810 cm².

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The total area of the three rectangles is  \($3 \times 2 \times 28 = \boxed{\textbf{(C) }(28)(2)}$\)

To find the approximation of the definite integral using inscribed rectangles, we need to find the area of each rectangle and then add them up. The width of each rectangle is the width of the interval of integration divided by the number of rectangles, which in this case is   \($\frac{6}{3}=2$\)

The height of each rectangle is the value of the function at the midpoint of the interval on which the rectangle is inscribed. Since the function is \($f(x)=x^2+2$\), the height of each rectangle is \($(2+4+6)^2+2=28$\). Therefore, the total area of the three rectangles is \($3 \times 2 \times 28 = \boxed{\textbf{(C) }(28)(2)}$\)

A definite integral is a mathematical operation that evaluates a function over a given interval. It is used to calculate the area under a curve or a definite integral of a function. It is defined as the limit of a sum of areas of simple figures such as rectangles and triangles. It can also be used to calculate the average value of a function over a given interval.

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The slope of the secant line passing through P(-2, 4) and Q(-3, 3) is 1.

A non-vertical line's slope is a measurement of how many units it climbs (or falls) vertically for every unit it moves horizontally from left to right.

The slope of a non-vertical line is a measure of the steepness of the line, or how much the line rises or falls as we move from left to right. It is defined as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

This information appears to be part of a math problem, and the instructions are asking to find the slope of a secant line passing through two points, P(-2, 4) and Q(-3, 3).

The formula for the slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

m = (y2 - y1) / (x2 - x1)

Substituting the values for P and Q, we have:

m = (3 - 4) / (-3 - (-2))

= -1 / -1 = 1

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Check the picture below.

what if x = 2?

\(V=(2)[10-2(2)][12-2(2)]\implies V=2(6)(8)\implies V=96\)

The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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The graph that shows the following system of equations and its solution is graph number C

A graph is the graphical representation of equations on a graph sheet

The given equations are

-4x-3y=4

4x-y=-4 Solving the equations

In equation 1

When x = 0

-3y = 4

y=-4/3                  (0, -4/3)

When y = 0

-4x = 4

x= -1            (-1, 0)

In equation 2 when x = 0

-y = -y = 4             (0, 4)

When y = 0

4x=-4 x=-1              (-1, 0)

When these coordinates are used to plot the graph, graph number is is obtained.

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If a package is damaged, the probability that it came from Manufacturer A is 62.5%.

Given that two manufacturers supply paper cups to a catering service, and manufacturer A supplied 100 packages and 5 were damaged, while Manufacturer B supplied 50 packages and 3 were damaged, to determine, if a package is damaged, the probability that it came from Manufacturer A, the following calculation must be performed:

Therefore, if a package is damaged, the probability that it came from Manufacturer A is 62.5%.

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Answer: 45.5 miles

Step-by-step explanation: divide182 by 4

Answer:

182/4=45.5

the bus travels 45.5 miles in 1 hour

I hope this helps!!

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

We can find the slope using two points

(0,0) and (5,2)

m = (y2-y1)/(x2-x1)

    = (2-0)/(5-0)

   = 2/5

The mean of the random variable x is 4.4. This means that, on average, when x is randomly sampled, the value it will take is 4.4. In other words, the expected value of x is 4.4.

To calculate the mean of the random variable x, we can use the formula \($\mu = \frac{1}{n}\sum x_i$\), where $\mu$ is the mean, $n$ is the number of values, and $x_i$ is the value of the random variable for each observation.

In this case, the mean of x is\($\mu = \frac{1}{5}\sum x_i = \frac{1}{5}(2 + 6 + 4 + 5 + 7) = 4.4$.\)

Interpreting this result in context, the mean of the random variable x is 4.4. This means that, on average, when x is randomly sampled, the value it will take is 4.4. In other words, the expected value of x is 4.4.

The mean of the random variable x is 4.4. This means that, on average, when x is randomly sampled, the value it will take is 4.4. In other words, the expected value of x is 4.4.

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