standard algorithm for 0.3 +0.82

Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)

The area of the figure in this problem is given as follows:

A. 30 in².

The area of a triangle is given by half the multiplication of the base length by the height of the triangle.

Applying the Pythagorean Theorem, we can obtain the missing side length, as follows:

4² + x² = 6²

x² = 36 - 16

x² = 20

x = square root of 20

x = 4.47.

For a right triangle, one side is considered the height of the other, hence the sides are:

Hence the area of the triangle is then obtained as follows:

Area = 0.5 x 4 x 12.47

Area = 25 in².

Which is closest to 30 in².

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Answer:

LCM= 180

Step-by-step explanation:

According to the solution we have come to find that, The equation of the line that is parallel to y = -7 and passes through the point (7,5) is y = 5.

what is mean by parallel lines?

Parallel lines are two or more lines that are always the same distance apart and never intersect. In other words, they have the same slope and they will never meet, no matter how far they are extended in both directions. Parallel lines always remain equidistant from each other and never touch or intersect, even if they are extended to infinity.

For example, in a Cartesian coordinate system, two lines are parallel if and only if they have the same slope. If the slope of one line is m1 and the slope of another line is m2, then the two lines are parallel if m1 = m2.

The given equation is y = -7, which is a horizontal line parallel to the x-axis. Since we need to find the equation of a line parallel to this line, the slope of the new line will also be zero.

To find the equation of the new line, we need to use the point-slope form of the equation, which is:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope of the line.

Substituting the values of the given point and slope, we get:

y - 5 = 0(x - 7)

y - 5 = 0

y = 5

So, the equation of the line that is parallel to y = -7 and passes through the point (7,5) is y = 5.

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According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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Answer:

y = -x + 2

Step-by-step explanation:

If you know the slope and a point on the line, then you can find the equation with an equation:

(y - y1) = m (x - x1)

We have our slope, -1; we have a x1, -2, and a y1, 4, so we're all set to find the equation. Plug in the numbers:

y - 4 = -1 ( x + 2 )

y - 4 = -x - 2

y = -x + 2

Our equation is y = -x + 2

Answer:

It is c-88=405 trust me :D

Step-by-step explanation:

*whispers* It doesn't hurt to give brainliest, I only need one more for my next tier, can I have it?

Answer:

c-88=405     c=493

Step-by-step explanation:

Answer:

question unclear

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

81 / 9 = 9

81 crayons and each student gets 9.

9x9=81

The corner shop has 15 cartons of 600 mL milk.

Let the number of milk cartons be y.

The number of bottles of milk is double the number of cartons of milk.

Now,

There are 84 liters of milk in total.

The shop has an equal number of 1 liter and 600mL cartons of milk and doubles the number of 2-liter bottles.

Therefore, the equation for the total liter of milk will be:

y × 600mL + y × 1 L + 2y × 2 L = 84 L

y × 0.6 L + y × 1 L + 2y × 2 L = 84 L

0.6y + y + 4y = 84

5.6y = 84

Dividing each side of the equation by 5.6,

( 5.6y/ 5.6 ) = ( 84/ 5.6 )

y = 15

Therefore, there are 15 cartons of milk of 600 mL.

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Answer:

X/4=3/6

Start off by cross multiplying the tops and bottoms, so X/4=3/6 turns into 6X=12. Now divide by 6 on both sides.

6X=12      X=2

Answer:

2

Step-by-step explanation:

Cross Multiple and Divide

X. 3

----. = ----

4. 6

So what you want to do is multiply diagonally:

(6)(X) = 6X

(3)(4) = 12

Now that we have our two answers, we put an equal sign between them.

6X = 12

Now to get X alone. Since it's being multiplied by 6, you want to do the opposite and divide.

So remember to divide on both sides to get rid of the 6.

6X divided by 6 is just X.

12 divided by 6 is 2

We got our answers, put the equal sign in-between

X = 2

Answer:

\( \boxed{ \bold{ {\boxed{ \sf{6 {c}^{2} {d}^{2} + 2 {c}^{2} d + cd}}}}}\)

Step-by-step explanation:

\( \sf{4 {c}^{2} d + 3dc - 2(d {c}^{2} + cd) + 6 {c}^{2} {d}^{2} }\)

Distribute 2 through the parentheses

\( \dashrightarrow{ \sf{4 {c}^{2} d + 3dc - 2d {c}^{2} - 2cd + 6 {c}^{2} {d}^{2} }}\)

Collect like terms

\( \dashrightarrow{ \sf{6 {c}^{2} {d}^{2} + 4 {c}^{2} d - 2d {c}^{2} + 3dc - 2cd}}\)

\( \dashrightarrow{ \sf{6 {c}^{2} {d}^{2} + 2 {c}^{2}d + cd }}\)

Hope I helped !

Best regards! :D

the answer is a on engenuity

The transforming the winner's age to a z-score is 1.03 and z-score is below the mean age of the winners.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers. Mean = (Sum of all the observations/Total number of observations).

Given:

Population mean,

μ=27.7 years

Population standard deviation,

σ=3.2 years

Winner's age =31 years

According to given question we have

If "x" represents the age of the winner then the z-score for "x":

z=x−μ/σ

a) Transforming the winner's age to a z-score

 z=31−27.7/3.2

   =1.03

(b) Interpretation of the z-score:

The winner's age of 31 years is 1.03 standard deviation below the mean age of the winners.

Therefore, the transforming the winner's age to a z-score is 1.03 and z-score is below the mean age of the winners.

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To find the

a) Transforming the winner's age to a z-score

(b) Interpretation of the z-score

is missing

Answer:

10.8

Step-by-step explanation:

3 3/5 divided by 1/6

(3(3/5))/(1/6)

(9/5)/(1/6)

54/5

10(4/5)

10.8

The value of a for the given expression will be -3.31.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a ​ −1.6. The value of a will be calculated as below,

3.6 = − a/0.8 − 1.6 − 0.8 a ​ −1.6

3.6 + 1.6 + 1.6 = -a / 0.8  - 0.8a

6.8 = ( -a - 0.64a ) / 0.8

5.44 = -1.64a

a = -3.31

Therefore, the value of a will be -3.31.

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Answer:

Let a be the larger number

Let b be the smaller number

A= b+7

Step-by-step explanation:

Hope this helps :) Have a great day!!!

Answer:

The correct solution is f + goh = x² + 6x +1

Step-by-step explanation:

f (x) = x^2

g(x) = 3x + 1

h(x) = 2x

We are to look for  f + (goh)

First we need to get the composite function goh

goh = g(h(x))

g(h(x)) = g(2x)

To get g(2x) we will substitute x in g(x) as 2x as shown below:

Given g(x) = 3x+1

g(2x) = 3(2x)+1

g(2x) = 6x+1

f + goh = x² + (6x +1)

f + goh = x² + 6x +1

Jim wrote goh as 2(3x+1) instead of 3(2x) + 1. The composite function that Jim looked for was hog not goh.

The correct solution is f + goh = x² + 6x +1

The exact values are:

sin(α + β) = (-6√5 - 8)/25

cos(α + β) = (4√5 - 6)/25

sin(α - β) = (-6√5 + 8)/25

tan(α - β) = (-9√5 + 45)/4

We have,

Recall the trigonometric identities:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

cos(a - b) = cos(a)cos(b) + sin(a)sin(b)

tan(a - b) = (tan(a) - tan(b))/(1 + tan(a)tan(b))

Using these identities, we can find the exact values of the expressions given.

(a) Sin (α + β)

sin(α + β) = sin(α)cos(β) + cos(α)sin(β)

= (√5/5)(-3/5) + (2/5)(-4/5) (using the values given for sin and cos)

= -6√5/25 - 8/25

= (-6√5 - 8)/25

(b) Cos (α + β)

cos(α + β) = cos(α)cos(β) - sin(α)sin(β)

= (2/5)(-3/5) - (√5/5)(-4/5) (using the values given for sin and cos)

= -6/25 + 4√5/25

= (4√5 - 6)/25

(c) Sin (α - β)

sin(α - β) = sin(α)cos(β) - cos(α)sin(β)

= (√5/5)(-3/5) - (2/5)(-4/5) (using the values given for sin and cos)

= -6√5/25 + 8/25

= (-6√5 + 8)/25

(d) tan (α - β)

tan(α - β) = (tan(α) - tan(β))/(1 + tan(α)tan(β))

= ((√5/5) - (-4/5))/(1 + (√5/5)(-4/5)) (using the values given for sin and cos)

= (9√5/5)/(1 - 4/5√5)

= (-9√5 + 45)/4

Therefore,

The exact values are:

sin(α + β) = (-6√5 - 8)/25

cos(α + β) = (4√5 - 6)/25

sin(α - β) = (-6√5 + 8)/25

tan(α - β) = (-9√5 + 45)/4

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A)  Rotate by 90° counterclockwise.

B) Reflection transformation about the line y = 5.

C) Parallel Lines are C₂D₂ and A₂B₂; EF and E₁F₁.

D) Perpendicular lines are;  D₁F₁ and  E₁F₁; DF and EF; DC and AB.

E) Line segments with slope of 0 are; AB, C₂D₂, A₂B₂, EF and E₁F₁

F) Line segments on the boat that have an undefined slope are; Lines A₁B₁, DF and DC.

G) Slope of Line ED = 1

A) The blue segment CD is seen on the graph as a perpendicular line with 2 units while the line segment C₂D₂ is seen as a horizontal line. Thus, to match CD with C₂D₂, we will rotate by 90° counterclockwise.

B) The transformations that would be used on the blue triangle to get it to match with the red triangle is a reflection transformation about the line y = 5.

C) The line segments that are parallel to each other are; C₂D₂ and A₂B₂; EF and E₁F₁.

D) The line segments that are perpendicular are;  D₁F₁ and  E₁F₁; DF and EF; DC and AB.

E) Horizontal lines that are parallel to the x-axis have zero slope. Thus, AB, C₂D₂, A₂B₂, EF and E₁F₁ all have zero slopes.

F) Undefined slope is the slope of a vertical line. Thus, Lines A₁B₁, DF and DC have undefined slopes.

G) Slope of ED = (5 - 4)/(-10 - (-11))

Slope of ED = 1/1

Slope = 1

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Answer:

21.60

Step-by-step explanation:

18 x .2 = 3.6

18 + 3.6  = 21.6

As given functions are:

Given that g(x)=0, So:

Now put the value of x in f(x):

So the value of f(x) is 0.

The pοlynοmial that is a difference οf squares is: x² - 36 factοred as: (x + 6)(x - 6)

A pοlynοmial is a mathematical expressiοn that cοnsists οf οne οr mοre terms, where each term is a prοduct οf a cοefficient and οne οr mοre variables raised tο nοn-negative integer pοwers. Pοlynοmials can be used tο mοdel variοus real-wοrld phenοmena and are fundamental tο many areas οf mathematics and science.

The pοlynοmial that is a difference οf squares is: x² - 36

This pοlynοmial can be factοred as: (x + 6)(x - 6)

Tο see why this wοrks, we can write x² - 36 as (x)² - (6)², which is a difference οf squares. Then, we can use the fοrmula fοr the difference οf squares, which states that a² - b² = (a + b)(a - b), tο factοr x² - 36 as (x + 6)(x - 6).

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The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Answer:

1

_

2

Step-by-step explanation:

You should use rise over run or your slope formula.

Answer:

the third option

Step-by-step explanation:

took the test

The diameter in the first step of the constructions divides each shape in half.

Answer:

The equation shows the temperature over time will be:

Hence, option (C) is correct.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

\(y=mx+b\)

where m is the rate of change or slope and b is the y-intercept

Given that one very cold morning, it was -7°F.

Thus, the y-intercept = b = -7

Given that as the day went on, the temperature rose 3 degrees each hour.

Thus, the rate of change = slope = m = 3

Thus, substituting m = 3 and b = -7 in the equation

\(y = mx+b\)

\(y = 3x + (-7)\)

\(y = 3x - 7\)

Therefore, the equation shows the temperature over time will be:

Hence, option (C) is correct.