please help me answer this!!

Answer:

The tangent of the angle is 1

Step-by-step explanation:

The solution is in the image

For similar triangles ΔRST and ΔRYX proportion RY/RS = RX/RT = XY/TS is true.

Given that, for ΔRST, line XY is drawn parallel to side ST within ΔRST to form ΔRYX.

Considering ΔRST and ΔRYX.

The corresponding sides of similar triangles are proportional.

We get ∠RXY=∠RST (Corresponding angles, since XY║ST)

∠RYX=∠RTS (Corresponding angles, since XY║ST)

From AA similarity criteria ΔRST is similar to ΔRYX.

Now, RY/RS = RX/RT = XY/TS.

Therefore, for similar triangles ΔRST and ΔRYX proportion RY/RS = RX/RT = XY/TS is true.

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Answer:

13.994[tex]cm (5.sf)[/tex]

Step-by-step explanation:

We know that the base of the cylinder is a circular base.

So circumference of base = [tex]2\pi r[/tex]

Given [tex]2\pi r=22cm\\\\r=\frac{22}{2\pi } \\r=\frac{11}{\pi } cm\\[/tex]

Volume of a cylinder = [tex]\pi r^{2} h[/tex] = 539[tex]cm^{3}[/tex]

Substitute r into the formula for volume of cylinder.

[tex]\pi (\frac{11}{\pi } )^{2} h=539\\\pi (\frac{121}{\pi ^{2} } )h=539[/tex]

Now, we will cancel [tex]\pi[/tex] from the numerator and denominator.

[tex](\frac{121}{\pi } )h=539\\h = \frac{539}{\frac{121}{\pi } } \\h = 539 * \frac{\pi }{121} \\h = 13.994cm(5s.f)[/tex]

Answer:

Aproximated height is:

14 cm

Step-by-step explanation:

volume of a cylinder = л r² h

л = 3.1416 (aprox)

r = radius

h = height

r = circunference/2л

r = 22/(2*3.1416)

r = 3.5    (aprox)

then volume is:

539 = 3.1416 * 3.5² * h

539 = 3.1416 * 12.25 * h

539 = 38.5 * h

h = 539/38.5

h = 14 cm     (aprox)

Answer:

89

Step-by-step explanation:

To find the value of the

when x = 5 we substitute x = 5 into the expression.

4x^2 - 3x + 4

putting x = 5

4(5)^2 - 3(5) + 4

4(25) - 15 + 4

100 - 11 = 89

Answer: y = [tex]\frac{1}{4}[/tex]x - 3 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

    Slope-intercept form is in the form of y=mx + b where m is the slope and b is the y-intercept.

    We are given the slope, so we will plug this in.

y = mx + b

y = ([tex]\frac{1}{4}[/tex])x + b

    Now, we will solve for the y-intercept by plugging in the point they give us.

y = ([tex]\frac{1}{4}[/tex])x + b

(-2) = ([tex]\frac{1}{4}[/tex])(5) + b

-2 = 1.25 + b

-3 [tex]\frac{1}{4}[/tex] = b

    Lastly, we will plug this variable into the equation we wrote above for our final answer.

y = [tex]\frac{1}{4}[/tex]x - 3 [tex]\frac{1}{4}[/tex]

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Answer: 25.33

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so

[tex]\frac{x}{28}=\frac{38}{42}\\\\x={28} \left(\frac{38}{42} \right) \approx \boxed{25.33}[/tex]

Answer:

Answer is in the photo

Step-by-step explanation:

The formula for multiplying two numbers with same base but different exponents is

a^m×a^n= a^(m+n)

Using the z-distribution, the sample sizes required are given as follows:

a) 822.

b) 1068.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Then, the margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

We have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

Item a:

The estimate is of [tex]\pi = 0.26[/tex], hence we solve for n when M = 0.03.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.26(0.74)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.26(0.74)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.26(0.74)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.26(0.74)}}{0.03}\right)^2[/tex]

n = 821.2

Rounding up, a sample of 822 is needed.

Item b:

No prior estimate, hence [tex]\pi = 0.5[/tex], which is when the largest sample size is needed.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.5(0.5)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]

n = 1067.11

Rounding up, a sample of 1068 is needed.

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a) The gradient of a line perpendicular to AB is -2.

b) equation of line is y=-2x+6

The gradient is the measure of the steepness of a straight line.

a)The gradient of line is

=(-2-2)/(7+1)

=-4/8

=-1/2

So, gradient of a line perpendicular to AB is  -2

b)The coordinates of mid point (3, 0)

m = -2

So,

0= -6+ b

b= 6

So, equation of line is y=-2x+6

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The equation s% of 1/r translates to the expression s/100r

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

s% of 1/r

= (s/100) * (1/r)

= s/100r

The equation s% of 1/r translates to the expression s/100r

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Answer:

Just look at the other answer

Step-by-step explanation:

Answer:

0 BAC

Step-by-step explanation:

m BAD+m DAC=m BAC(180°)

The value of m(BAD) + m(DAC) is equal to the measure of angle BAC.

Let's use the angle addition postulate to find the value of m(BAD) + m(DAC):

The angle addition postulate states that if you have an angle formed by two rays, say ∠BAD, and  another angle formed by two rays, say ∠DAC, then the sum of their measures is equal to the measure of the angle formed by the original rays extended to meet the rays of the second angle. In other words:

m(BAD) + m(DAC) = m(BAC)

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Answer:

x= 54/7

Step-by-step explanation:

x= 54/7

Answer:

x = 54/7

Step-by-step explanation:

7x = 54

Divide both sides by seven (7)

7x/7 = 54/7

7 cancel out 7

x = 54/7

Answer:

perimeter=80 area=252

Step-by-step explanation:

The perimeter is the total length of the boundary of the shape added together: 12+20+12+8+20+8=80

The area is the value of the space inside the shape: the rectangle would be 20*9=180 plus the two triangles: (8*9)/2 = 36 180+72=252

Answer:

p=80 a=252

Step-by-step explanation:

Add all side lengths to get the perimeter.

20+12+12+8+20+8=80

Perimeter is 80

Area of a trapezoid is average of parallel lines*height

((20+36)/2)*9=252

Area=252

Answer: B i got it right

Step-by-step explanation:

Based on the points on the graph, the correct matches are:

To find a point, you need to look at the x-axis first and then the y-axis.

Find where the point is located on the x-axis, and then look for where the point intersects with the y-axis point.

For instance, the point A is located at (-4, -2) so look at the -4 point on the x axis, then go down to the -2 point on the y-axis. You'll find point A.

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Answer:

(d). [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Answer: [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Sorry this took so long.. i needed to use paint

Answer:  75

Step-by-step explanation:

5a = 5(15) = 75

Answer:

9.4 in

Step-by-step explanation:

sin A = O/H

sin 19° = x/29

x = 29sin19°

x = 9.441 in

x = 9.4 in

Answer:

Event A: 1/2

Event B: 5/8

Answer:

(-2,4)

Step-by-step explanation:

By going 3 back you go 0,-1,-2 then you are already up 2 so if you go up 2 more you are at (-2,4). Hope this helps!

Given the distance travelled and the time elapsed, the average speed of the train is approximately 1.63 miles per minutes.

Given that;

Average speed = distance traveled / elapsed time

Average speed = 75miles / 46min

Average speed = 1.63 miles per minutes

Given the distance travelled and the time elapsed, the average speed of the train is approximately 1.63 miles per minutes.

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Answer: 4

Step-by-step explanation:

[tex]A=7.52=\frac{1}{2}ac \sin B\\\\7.52=\frac{1}{2}(a)(6)\sin 40^{\circ}\\\\a=\frac{7.52}{\frac{1}{2}(6)(\sin 40^{\circ})}\\\\a \approx 4[/tex]

Answer:

y = [tex]\frac{1}{2}[/tex] x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = [tex]\frac{3-0}{0-(-6)}[/tex] = [tex]\frac{3}{0+6}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = [tex]\frac{1}{2}[/tex] x + 3 ← equation of line

Answer:

7.3333 hours

Step-by-step explanation:

if im wrong oh well lol 275x320=88000 divided by 200 =440 divided by 60=7.3333

The best buy is from dealership A because the fees of dealership B is more expensive

For the purpose of this exercise, the add-on options to select are:

The total amount of the add-on options is:

Total = $1000 + $500 + $3500 + $500 + $750

Total = $6250

The inequality

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 751.56 + 6250 ≤ 20000

Solve for x

We have:

(1 + 6.75%) * x + 751.56 + 6250 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x  ≤ 12998.44

Divide both sides by (1 + 6.75%)

x  ≤ 12176.52

The solution means that the base price of the car cannot exceed $12176.52 for dealership A

The graph of the possible base price

See attachment

The total amount of the add-on options is:

Total = $500 + $750 + $2750 + $750 + $500

Total = $5250

The inequality

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 1524.72 + 5250 ≤ 20000

Solve for x

We have:

(1 + 6.75%) * x + 1524.72 + 5250 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x  ≤ 13225.28

Divide both sides by (1 + 6.75%)

x  ≤ 12389.02

The solution means that the base price of the car cannot exceed $12389.02 for dealership B

The graph of the possible base price

See attachment

Buy from dealership A because the fees of dealership B is more expensive

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Answer:

$283

Step-by-step explanation:

Let,

   x - for $2 notes

   x + 16 - for $5 notes

EQUATION:

  (x) + (x + 16) = 74

  2x = 74 - 16

  2x = 58

  x = 29

SUBSTITUTE

  x = 29 pieces of $2 notes

  x + 16 = 29 + 16 = 45 pieces of $5 notes

TOTAL VALUE IS:

   (29 x $2) + (45 x $5) = $283

The perpendicular line to line t is drawn below.

The two-line in which the angle between these two lines is 90° i.e. both are right angle to each other then two lines are perpendicular to each other.

Here the given point is point A.

and the line given is line t

we have to draw a line that should be perpendicular to line t.

Let that perpendicular line cut the line t at the point O.

OA ⊥ t

∠AOt= 90°

From above we can draw the line OA which is perpendicular to line t.

The picture is drawn below.

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Answer:

Length = 10 inches

Width = 5 inches

Step-by-step explanation:

p = 2w + 2l

l = w + 5

30 = (2w + 2(w + 5))

30 = 4w + 10

20 = 4w

w = 5

l = w + 5

= 5 + 5

= 10