Find the area of triangle ABC.
Give your answer correct to 1 decimal place.
9 cm
8 cm
С
10 cm
B

Answer:

Step-by-step explanation:

As,

Landslide, also called landslip, the movement downslope of a mass of rock, debris, earth, or soil (soil being a mixture of earth and debris).

Landslides occur when gravitational and other types of shear stresses within a slope exceed the shear strength (resistance to shearing) of the materials that form the slope.

Answer:

Landslide                              

Hope this helps. Plz give brainliest

The average rate of increase is $69 per year (to the nearest dollar).

What is average rate of increase?

The  function is defined as the average rate at which one measurement is changing(here increasing) with respect to another change. So an average rate of change function is a system that calculates the amount of change in one data divided by the corresponding amount of change in another.

The fees in 1997( x₁ say) was $3042( y₁ say)

fees in 2000(x₂ say) was $3250 ( y₂ say)

The formula is for change in average rate is  \(\frac{ y_{2} -y_{1} }{x_{2} -x_{1} }\)

average rate of increase= (3250-3042)/(2000-1997)

                                        = 208/3

                                         =69.33

so average rate of increase to the nearest dollar  is $69 per year.

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Answer:

13 m3n would be the answer

Answer:

The answer will be A

hope this helps :)

Answer:

the shirt before taxes is $18. the shirt after taxes is 19.53

Step-by-step explanation:

you multiply 20x.10 and you'll get 2. so you subtract 2 from 20, that's $18.

to get taxes, you multpliply 18x.085 and you get $1.53.

you then add $1.53 to 18 and you get your total price of $19.53

Answer:

Before taxes, the shirt was $18. After taxes. the shirt is $19.53

Step-by-step explanation:

Answer:

10.37

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The formula for the surface area of a square pyramid is \(a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}\), where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:

\(75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=\)

\(5625+150\cdot \sqrt{9506.25}=\)

\(5625+14625=\)

\(20,250\)  square yards, or answer choice D.

Hope this helps!

Step-by-step explanation:

Answer:

Minimum Unit Cost = $14,362

Step-by-step explanation:

The standard form of a quadratic is given by:

ax^2 + bx + c

So for our function, we can say,

a = 0.6

b = -108

c = 19,222

We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a

So,

-(-108)/2(0.6) = 108/1.2 = 90

Plugging this value into original function would give us the minimum (unit cost):

Answer:

You're giving points because you have some to spare and have no need of them anymore. You're done with everything and there's no point to having... points (wow me, great job). So you're going to brighten somebody else's day by donating some of your points.

Step-by-step explanation:

Geez I'm in a down mood sorry

Answer:

Because you are a kind person with more than you need. That is one reason out of many.

Step-by-step explanation:

Answer:

What is a 4 digit number divisible by 3? The first 4-digit number divisible by 3 is 1002. This is sometimes also referred to as the smallest four digit number divisible by 3 or the lowest 4-digit number divisible by 3.

Step-by-step explanation:

Answer:

1002

Step-by-step explanation:

The highest 3-digit number is 999, and it is also the highest 3-digit number divisible by 3.

To find the highest 4-digit number divisible by 3, add 3 to 999.

Answer:

(4,-1) is the answer

Step-by-step explanation:

The value of (x,y) is (1,4)

Rotation through 270° anticlockwise direction;

when point P is rotated than

P(x,y) ----------> P' ( y,-x)

A (1,4)----------> A' (4,-1)

Answer:

28.26² yards

Step-by-step explanation:

Diameter is 6.

Radius=Diameter/2. r=6/2

Area=Pi*Radius²

I'll just use 3.14 for pi

Area=3.14*3²

3²=9 3.14*9=28.26

so the answer 28.26²

Answer:

56. Someone correct me if I'm wrong.

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem, which is a² + b² = c²

a and b are the legs, and c is the hypotenuse. Here, we know the length of one leg and the hypotenuse. So...

a² + 42² = 70²

First, we need to square these numbers. 42² is 1764. 70² is 4900. So...

a² + 1764 = 4900

Now, we can subtract 1764 from both sides.

a² + 1764 - 1764 = 4900 - 1764

That would give us...

a² = 3136

Now, we square root 3136.

So...

\(\sqrt{3136}\) = 56

The missing side should be 56.

Answer:

B) sin55/8 = sin30/b

Step-by-step explanation:

Just did it on AP3X :)

Answer:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

Answer:

A coefficient is a numerical or constant quantity placed before and multiplying variable.

Step-by-step explanation:

For example, 4x+8=12. 4 is the coefficient.

(a) high in fat, (b) high in protein, and (c) unspecified composition. The data collected reveals variations in body weight, with a mean of 194 and a standard deviation that differs among the diets.

The study aimed to investigate the effects of different macronutrient compositions on body weight. All diets had the same calorie content, ensuring that any observed differences were not due to variations in total energy intake. The summary statistics indicate that the mean body weight across the three diets was 194. However, it is important to note that the standard deviation varied among the diets. This suggests that the different macronutrient compositions influenced the variability in body weight outcomes. The second paragraph of the answer would provide a more detailed explanation of the potential reasons behind the observed variations and their implications.

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a. If the exam is quite easy, it is likely that the majority of students will perform well and score high marks. As a result, the shape of the histogram of scores would be skewed to the right (positively skewed).

This is because there would be a concentration of scores towards the higher end of the scoring scale, with fewer scores towards the lower end.

b. Conversely, if the exam is quite difficult, it is likely that many students will struggle and score low marks. In this case, the shape of the histogram of scores would be skewed to the left (negatively skewed). There would be a concentration of scores towards the lower end of the scoring scale, with fewer scores towards the higher end.

c. When half the students have had calculus and the other half have had no prior college math courses, and the exam emphasizes mathematical manipulation, it can lead to a bimodal distribution in the histogram of scores. This means that there would be two distinct peaks or clusters in the distribution, representing the two groups of students with different math backgrounds.

The calculus students may perform better on the mathematical manipulation aspects of the exam, resulting in one peak, while the students without prior college math courses may struggle and have a separate peak at lower scores.

Overall, the shape of the histogram of scores is influenced by the difficulty level of the exam and the varying abilities of the students taking the exam.

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Answer:

x = 9

∠B = 40°

Explanation:

because the lines are parallel, a and b are alternate angles. this means that they are equal. thus, we know that:

5x - 5 = 3x + 13

(add 5 to each side) 5x = 3x + 18

thus, 2x = 18 and x = 9.

we can now find ∠B by substituting 9 for x into the equation:

3x + 13

= 3 × 9 + 13

= 27 + 13

= 40°

i hope this helps! :D

Answer:

x = 9

<B = 40 degrees

Step-by-step explanation:

Hi,

5x - 5 = 3x + 13

Subtract 3x...

2x - 5 = 13

Add 5...

2x = 18

Divide by 2...

x = 9

Now find <B

3(9) + 13

27 + 13

<B = 40 degrees

hope this helps :)

The vertex of the function is (7, 30)

The axis of symmetry of the function is 7.

The maximum value of the function is 166.

The domain of the function is  {-∞, ∞)

The range of the function is  (-∞, 30] U [30, ∞)

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 7)² - 30

f(x) = -(x² - 14x + 49) - 30

f(x) = -x² + 14x - 49 - 30

f(x) = -x² + 14x - 79

The function is in the form of ax² + bx + c

The axis of symmetry is -b/2a.

= -b/2a

= -(14)/(2 x -1)

= 14/2

= 7

The vertex of the function.

= (x, y)

x = -b/21

x = 7

Now,

f(x) = -x² + 14x - 79

y = -49 + 98 - 19

y = -68 + 98

y = 30

Now,    

f'(x) = 0

-2x + 14 = 0

-2x = 14

x = -7

f''(x) = -2 (negative)

f(x) has maximum value at x = -7.

The maximum value.

f(-7) = (-7 - 7)² - 30 = 166

Now,

f(0) = 49 - 30 = -1

f(1) = 36 - 30 = 6

f(2) = 25 - 30 = -5

f(3) = 16 - 30 = -14

f(4) = 9 - 30 = -21

f(5) = 4 - 30 = -26

f(6) = 1 - 30 = -29

f(7) = -30 = -30

f(8) = 1 - 30 = -29

Domain = {-∞, ∞)

Range = (-∞, 30] U [30, ∞)

Thus,

The vertex is (7, 30)

The axis of symmetry is 7.

The maximum value of the function is 166.

The domain and range of the function are  {-∞, ∞) and (-∞, 30] U [30, ∞).

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To calculate the personnel budget using NCH/PPD practice, multiply the NCH/PPD ratio by the number of patient days and the cost per nursing care hour

The personnel budget calculation involves three components: NCH/PPD ratio, number of patient days, and cost per nursing care hour.

First, determine the NCH/PPD ratio, which represents the average number of nursing care hours required per patient day. This ratio can be obtained from historical data or industry benchmarks.

Next, obtain the number of patient days, which refers to the total number of days that patients are present in the healthcare facility during a specified period. This information can be obtained from patient records or hospital administration.

Finally, determine the cost per nursing care hour, which includes wages, benefits, and any additional costs associated with nursing staff. This value can be obtained from the organization's financial records or by consulting with the finance department

To calculate the personnel budget, multiply the NCH/PPD ratio by the number of patient days, and then multiply that result by the cost per nursing care hour. This calculation provides an estimate of the personnel budget required for nursing staff based on the NCH/PPD practice. It's important to regularly review and update these calculations to ensure accuracy and account for any changes in patient volume or cost factors.

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The required solution is 2.

It is required to find the value of h (-6).

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Solution:

The given equation is

h(x)= -x-4

We have to find  h (-6)

By put the value of x=-6 in given equation we get,

h(-6) = -(-6)-4

h(-6) = 6-4

h(-6) = 2

Hence. the required solution is 2.

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The required height of domino number 7 is 11.76 cm (rounded to two decimal places).

Arithmetic progression is the series of numbers that have common differences between adjacent values.

Here,
Since each subsequent domino is 13% taller than the one before, we can find the height of each domino by multiplying the height of the previous domino by 1.13.

Starting with the height of the smallest domino, we can calculate the height of each subsequent domino using this rule:

Height of domino n = Height of domino (n-1) × 1.13

Using this formula, we can find the height of each domino:

Height of domino 1 = 5.00 cm × 1.13 = 5.65 cm

Height of domino 2 = 5.65 cm × 1.13 = 6.38 cm

Height of domino 3 = 6.38 cm × 1.13 = 7.21 cm

Height of domino 4 = 7.21 cm × 1.13 = 8.16 cm

Height of domino 5 = 8.16 cm × 1.13 = 9.22 cm

Height of domino 6 = 9.22 cm × 1.13 = 10.41 cm

Height of domino 7 = 10.41 cm × 1.13 = 11.76 cm

Therefore, the height of domino number 7 is 11.76 cm (rounded to two decimal places).

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Answer:

Explanation:

if three dice (each having 6 faces) are rolled, the total number of possible outcomes is:

Answer:

a. 40

Step-by-step explanation:

Before we start answering this question, it is important to know that the sum of all angles within a triangle is 180 degrees. In the triangle provided, we know that one angle equals 90 degrees and another equals 50 degrees.

Given this information, we can simply subtract the given values from 180,

180-90-50=40

The measure angle m equals 40 degrees.

The two electron carriers involved in cellular respiration are NAD+ (nicotinamide adenine dinucleotide) and FAD (flavin adenine dinucleotide). They play a crucial role in transferring electrons during the process of cellular respiration, enabling the production of ATP, the cell's main energy currency.

NAD+ and FAD are coenzymes that act as electron carriers in cellular respiration. They facilitate the transfer of high-energy electrons from organic molecules to the electron transport chain, which is a series of protein complexes embedded in the inner mitochondrial membrane.

During glycolysis, the first step of cellular respiration, NAD+ accepts electrons from glucose and becomes reduced to NADH. NADH carries these electrons to the electron transport chain, where they are transferred from one protein complex to another. As the electrons move through the electron transport chain, their energy is used to pump protons (H+) across the inner mitochondrial membrane, creating an electrochemical gradient. Similarly, FAD accepts electrons during the Krebs cycle (also known as the citric acid cycle or TCA cycle). FAD becomes reduced to FADH2 and carries the electrons to the electron transport chain for further energy extraction.

The electron transport chain ultimately uses the energy from the transferred electrons to generate ATP through oxidative phosphorylation. NADH and FADH2 donate their electrons to the electron transport chain, allowing for the synthesis of ATP by chemiosmosis, which is the movement of protons back across the inner mitochondrial membrane through ATP synthase.

In summary, NAD+ and FAD function as electron carriers in cellular respiration, capturing high-energy electrons from glucose and other organic molecules. They deliver these electrons to the electron transport chain, where their energy is harnessed to generate ATP, providing the cell with the energy it needs to perform essential processes.

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All the images from A-G are single rotated or single reflected versions of image W.

What is rotation?

The circular movement of an object about a centre is referred to as rotation. Different forms can be rotated by an angle about their central point. A rotation is a map in mathematics. The rotation group of a particular space refers to all rotations around a fixed point that form a group beneath a structure.

Figures A to G are images of W.

The figure W has coordinates (0,0), (0,4) and (-2,4).

Other images are either rotated or reflected.

Figure A has coordinates (0,0), (0,4) and (2,4).

This gives the formula as (x, y) → (-x, y).

(-x, y) is the formula for reflection over y axis.

Therefore, image W reflected over y axis forms image A.

Figure B has coordinates (0,0), (4,0) and (4,2).

This gives the formula as (x, y) → (y,-x).

(y,-x) is the formula for rotation of 90° in clockwise direction.

Therefore, image W rotated 90° clockwise forms image B.

Figure C has coordinates (0,0), (4,0) and (4,-2).

This gives the formula as (x, y) → (y, x).

(y, x) is the formula for reflection over (y = x) axis.

Therefore, image W reflected over (y = x) axis forms image C.

Figure D has coordinates (0,0), (0,-4) and (2,-4).

This gives the formula as (x, y) → (-x,-y).

(-x,-y) is the formula for rotation of 180°.

Therefore, image W rotated 180° forms image D.

Figure E has coordinates (0,0), (0,-4) and (-2,-4).

This gives the formula as (x, y) → (x, -y).

(x, -y) is the formula for reflection over x axis.

Therefore, image W reflected over x axis forms image E.

Figure F has coordinates (0,0), (-4,0) and (-4,-2).

This gives the formula as (x, y) → (-y, x).

(-y, x) is the formula for rotation of 90° in counter-clockwise direction.

Therefore, image W rotated 90° counter-clockwise forms image F.

Figure G has coordinates (0,0), (-4,0) and (-4,2).

This gives the formula as (x, y) → (-y, -x).

(-y, -x) is the formula for reflection over (y = -x) axis.

Therefore, image W reflected over (y = -x) axis forms image G.

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