(2 4/10 + 8 4/5) - 3 1/5

Answer:

50mph

Step-by-step explanation:

Answer:

16.1 cm (nearest tenth)

Step-by-step explanation:

Pythagoras’ Theorem

\(a^2+b^2=c^2\)

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute the given values into the formula and solve for c:

\(\implies 16^2+2^2=c^2\)

\(\implies 256+4=c^2\)

\(\implies c^2=260\)

\(\implies c=\sqrt{260}\)

\(\implies c=2\sqrt{65}\)

\(\implies c=16.1 \sf \: cm\:(nearest\:tenth)\)

16.1 is rounded to the nearest tenth

Answer:

Step-by-step explanation:

(0,0)

i hope this helps

Answer:

264

Step-by-step explanation:

\(3(2(6+4(7+3)-2))=\\3(2(6+4(10)-2))=\\3(2(6+40-2))=\\3(2(46-2))=\\3(2(44))=\\3(88)=\\264\)

Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.

An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.

In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.

Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

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The relation and equation that is modelled by the graph is y = x - 1.

To determine the relation and equation that is modelled by the graph, we must analyze the characteristics of the graph.The graph is a straight line that passes through the points (0, -1) and (4, 3).

The slope of the line can be determined by using the slope formula:slope = (y2 - y1) / (x2 - x1) = (3 - (-1)) / (4 - 0) = 4/4 = 1

Therefore, the slope of the line is 1. We can use the point-slope form of the equation of a line to determine the equation of the line.y - y1 = m(x - x1)

where y1 = -1, x1 = 0, and m = 1Substituting these values, we get:y - (-1) = 1(x - 0)y + 1 = x Simplifying this equation, we get the relation y = x - 1.

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Answer:

The base is 3 inches

Step-by-step explanation:

A = 1/2bh

54 = 1/2(36)b

54 = 18b

b = 3

Step-by-step explanation:

To find (f + g)(x), we first need to add the two functions f(x) and g(x) together:

(f + g)(x) = f(x) + g(x)

= (x + 8) + (-4x - 3)

= x - 4x + 8 - 3

= -3x + 5

Therefore, (f + g)(x) = -3x + 5.

Answer:

9 kilograms

Step-by-step explanation:

Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.

Step-by-step explanation: Formula and Solving it

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

He spent (x - 2.50)/2 on notebook and paper.

So the total amount he spent = 2.50 + (x -2.50)/2

Amount left when he got home =$ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x -2.50)/2 ) = 5

=> x - 2.50 -x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

Answer:

PV = 8

VT = 4\(\sqrt{3}\)

Step-by-step explanation:

in a 30-60-90° Δ, the ratio of sides, respectively, is 1: \(\sqrt{3}\): 2

if PT = 4 then PV is twice that, or 8

VT = PT·\(\sqrt{3}\)

Answer:

I think its C

Step-by-step explanation:

Answer:

l = large cups       amount of large cups = 16 x  ounces

small cups = 2x     amount of small cups = 8 (2x)      summed = 320 ounces

16x      +     8 (2x)       =    320        solve for 'x' the number of 16 ounce cups, the 8 ounce cups = 2x

Step-by-step explanation:

l = large cups       amount of large cups = 16 x  ounces

small cups = 2x     amount of small cups = 8 (2x)      summed = 320 ounces

16x      +     8 (2x)       =    320        solve for 'x' the number of 16 ounce cups, the 8 ounce cups = 2x

Using the pattern, the next 4 numbers in the sequence would be

3.2; 4.0; 4.8; 5.6

The given sequence seems to follow a pattern where each term is obtained by adding 0.8 to the previous term.

hence this is an AP sequence, with a common difference of 0.8, adding 0.8 to each term gives the next consecutive term

2.4 + 0.8 = 3.2

3.2 + 0.8 = 4.0

4.0 + 0.8 = 4.8

4.8 + 0.8 = 5.6

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Answer:

To identify the location of this point, start at the origin (0, 0) and move right along the x-axis until you are under the point. Look at the label on the x-axis. The 4 indicates that, from the origin, you have traveled four units to the right along the x-axis. This is the x-coordinate, the first number in the ordered pair.

From 4 on the x-axis move up to the point and notice the number with which it aligns on the y-axis. The 3 indicates that, after leaving the x-axis, you traveled 3 units up in the vertical direction, the direction of the y-axis. This number is the y-coordinate, the second number in the ordered pair. With an x-coordinate of 4 and a y-coordinate of 3, you have the ordered pair (4, 3).

Step-by-step explanation:

A point that represents the ordered pair (−3, 0) include the following: A. Point E.

In Mathematics and Geometry, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.

Based on the graph described by the text above, we can reasonably infer and logically deduce that the coordinate of the point labeled E is located in quadrant II and represented by the ordered pair (−3, 0), which implies that it is is three units to the left of the origin.

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The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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Answer:

lost 12

Step-by-step explanation:

Answer:

is there any options or answers I could see?

The end-points of the line segment will be negative 1.25 and 0.25.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,

⇒ - 0.50 ± (1.50) / 2

Simplify the expression, then we have

⇒ - 0.50 ± (1.50) / 2

⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2

⇒ - 0.50 - 0.75, - 0.50 + 0.75

⇒ - 1.25, 0.25

The end-points of the line fragment will be negative 1.25 and 0.25.

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Answer:

See below

Step-by-step explanation:

Answer:

y=x+2x+5=2

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

We know one angle measures 42°.

Another angle is a right angle, so it measures 90°.

Only the angle labeled x is unknown.

42 + 90 + x = 180

132 + x = 180

x = 48

Answer: 48

when we rotate a point 180°, we have to change the sign in every coordinate. Therefore we get that the new point is (3,5)

9514 1404 393

Answer:

  a) (-7, -2)

  b) 15 square units

Step-by-step explanation:

The slope at x is given by the derivative:

  y' = 3x^2 -10x +3

The slope of the normal is the negative reciprocal of this.

at a(4, -3) the slope of the normal is ...

  ma = -1/y' = -1/((3(4) -10)(4) +3) = -1/11

Then the point-slope equation of the line is ...

  y +3 = -1/11(x -4)

__

at b(1, 0) the slope of the normal is ...

  mb = -1/y' = -1/((3(1) -10)(1) +3) = -1/-4 = 1/4

Then the point-slope equation of the line is ...

  y = 1/4(x -1)

Solving these two equations will give the coordinates of point C.

  (1/4(x -1) +3) = -1/11(x -4)

  11(x -1) +132 = -4(x -4)

  15x = -105

  x = -7

  y = 1/4(-7 -1) = -2

The coordinates of point C are (-7, -2).

__

There are a few ways to find the area of a triangle that is specified by its vertex coordinates. I like the method that involves finding the determinants of pairs of coordinates around the figure. The area is half the absolute value of their sum. This can be made a little easier by listing the coordinates, repeating the first pair:

  a(4, -3)

  b(1, 0)

  c(-7, -2)

  a(4, -3)

Working down the list, the area will be ...

  A = 1/2|(4(0) -1(-3)) +(1(-2) -(-7)(0)) +((-7)(-3) -4(-2))| = 1/2|(0 +3) +(-2 +0) +(21 +8)|

  A = 1/2|30| = 15 . . . . square units

_____

The attached graph finds the intersection of the normals quite easily. The attached spreadsheet does the area calculation from the triangle coordinates. These tools are very handy for problems like this.

Answer:

Step-by-step explanation:

\(Curve:\ y=x^3-5x^2+3x+1\\\\y'(x)=3x^2-10x+3\\A=(4,-3)\\B=(1,0)\\y'(4)=3*4^2-10*4+3=11\\slope\ of\ the\ normal\ in \ A: -\frac{1}{11} \\Equation\ normal\ in \ A:\\y+3= -\frac{1}{11}*(x-4)\ or\ -x-11*y=29\ (1)\\\\y'(1)=3*1^2-10*1+3=-4\\slope\ of\ the\ normal\ in \ B: \frac{1}{4} \\Equation\ normal\ in \ B:\\y-0=\frac{1}{4} (x-1)\ or\ -x+4y=-1\ (2)\\\\Coordinates\ of\ C:\\(1)-(2) ==> y=-2\\(2) ==> x=-7\\\\C=(-7,-2)\\\)

Area of the  triangle ABC:

\(S=\dfrac{|CB|*|CA|*sin(\widehat{ACB})}{2}\\A=(4,-3),B=(1,0),C=(-7,-2)\\AB^2=(4-1)^2+(-3-0)^2=9+9=18\\AC^2=122\\BC^2=68\\\\Using\ Al'Kashi\ theorem:\\AB^2=CB^2+CA^2-2|CB||CA|*cos(\widehat{ACB})\\\\cos(\widehat{ACB})=\dfrac{68+122-18}{2\sqrt{68*122} } =\dfrac{86}{\sqrt{68*122} } \\\\sin^2(\widehat{ACB})=1-cos^2(\widehat{ACB})=1-\dfrac{86^2}{68*122} \\\\S=\dfrac{\sqrt{68} *\sqrt{122}*\sqrt{\dfrac{900}{68*122} }}{2}=15\\\)

Answer:

The retained earnings decreased by $1,020,600

Step-by-step explanation:

Given that Rayan Company has 420,000 shares of $ 10 par. Rayan then declared a 5% share dividend when the market price of the shares was $36 per share.

Let's calculate the shares issued as stock dividends below:

Issued shares = stock dividends * outstanding shares

= 5% * 420,000

= 21,000

21,000 shares were issued.

Let's calculate the stock dividends.

Stock dividends = issued shares * market price per share

= 21,000 * $36

= $756,000

Stock dividends is $756,000

Let's calculate the amount of cash dividends, since the company declared a $0.60 per share cash dividend after 3 months. We have:

Cash dividend = cash dividend per share * new number of shares.

= $0.60 * (420,000 + 21,000)

= $0.60 * 441,000

= $264,600

Cash dividends paid is $264,600

The find the decrease in retained earnings, we have:

Decrease in Retained earnings = cost of stock dividend + cash dividend.

= $756,000 + $264,600

= $1,020,600

Therefore, the retained earnings decreased by $1,020,600

The graph of the function is attached below.

The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.

Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.

We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.

In the given problem;

The graph of the function f(x) = 1 + x / x² - 1 is attached below;

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Answer:

27 degrees ( option A)

Step-by-step explanation:

It is the only option that is smaller than 33 degrees,  (which is because SRT ~ PQB) and it is dilated by a fraction

Answer:

q=33

Step-by-step explanation:

is the correct answer because we can see that r=q