Is substitutions the best method to use when one variable is already known

Answer:

4 +311/59 answer IsD ong I know

Answer:

x = 13.83

Step-by-step explanation:

[tex]sin(70^{o}) =\frac{13}{x}[/tex]

[tex]x=\frac{13}{sin(70^{o} )} =13.83[/tex]

Hope this helps

Step-by-step explanation:

try this solution, the answer is underlined with orange colour.

Answer:

A =281 ft^2

Step-by-step explanation:

A=2πrh+2πr^2

A = 2 (3.14) (4)(5) + 2 (3.14) (5)^2

A =281 ft^2

Answer: 3 coupons

Step-by-step explanation:

       We will divide the total amount of money spent by the amount of money needed to spend to receive a coupon.

$600 / $200 = 3

         Sarah would get 3 coupons.

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Work Shown:

x/25 = 2/5

5x = 25*2

5x = 50

x = 50/5

x = 10

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Another approach:

x/25 = 2/5

x/25 = (2*5)/(5*5)

x/25 = 10/25

x = 10

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Yet another method:

x/25 = 2/5

x/25 = 0.4

x = 25*0.4

x = 10

Answer: Choice A

40.61 square meters

==========================================================

Explanation:

The area of a full circle is

A = pi*r^2

meaning half of it (aka semicircle) will have this area

A = 0.5*pi*r^2

The diameter of the semicircle is 5.4 meters, which divides in half to get the radius of r = 2.7

The semicircle has an area of...

A = 0.5*pi*r^2

A = 0.5*3.14*(2.7)^2

A = 11.4453

which is approximate since pi = 3.14 is approximate.

Now compute the area of the triangle

area = base*height/2 = 5.4*10.8/2 = 29.16

Then add those sub-areas to get the grand total area.

semicircleArea + triangleArea = 11.4453+29.16 = 40.6053

That rounds to 40.61 which shows why choice A is the answer.

Answer: 2,670 meters

Step-by-step explanation:

2 kilometers = 2000 meters

2,670 > 2000

The greater value between  2,670 meters or 2 kilometers is 2,670 meters.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We are given that;

Two measurements  2,670 meters or 2 kilometers

Now,

To compare 2,670 meters and 2 kilometers, we need to convert them to the same unit of measurement.

There are 1,000 meters in a kilometer. So 2 kilometers is equal to:

2 km * 1,000 m/km = 2,000 meters

Now we can compare 2,670 meters and 2,000 meters. We can see that 2,670 meters is greater than 2,000 meters, because 2,670 is a larger number than 2,000.

Therefore, by conversion the answer will be 2,670 meters is greater than 2 kilometers.

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Answer:

I am not entirely sure but The maximum is 500 and b $0.50

Answer:

xx=-0.8

Step-by-step explanation:

not sure if this is right because the 12xx is kind of strange

12xx+16-1=0
12xx+15=0
12xx=-15
12/12xx=12/-15
xx=-.8

Answer:

[tex]x=-9,\:x=1[/tex]

Step-by-step explanation:

[tex]x^2+8x=9\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,\:x=1[/tex]

[tex]\large{\boxed{ \ g(x) = -\dfrac{7}{4} | x -5| +0 \ }}[/tex]

Absolute value of a graph formula:

Identify the vertex : (h, k) = (5, 0)

Take two points : (5, 0), (9, -7)

[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-7-0}{9-5} \ = \ -\dfrac{7}{4}[/tex]

Join the variables together:   [tex]\bf g(x) = - \dfrac{7}{4} | x -5| +0[/tex]

Answer:

[tex]f(x) = -\dfrac{7}{4}|x-5|+0 [/tex]

Step-by-step explanation:

The function in the coordinate Plane is an absolute value function . Consider the parent function

[tex]f(x) = |x| [/tex]

Recall the properties of transformation

From the inspection of the graph,It has moved to right by 5 units, Thus

[tex]f(x - 5) = |x - 5| [/tex]

Apparently, It has neither shifted up or down, hence

[tex]f(x - 5) +0= |x - 5|+0 [/tex]

Looking at the graph, we can see that it has been reflected vertically. It tells us we have to multiply it by a negative constant

[tex] -a f(x - 5) +0= -a |x - 5| +0[/tex]

take (9,7) to figure out a.

[tex] -a | 9- 5| =7[/tex]

Solving the equation yields:

[tex] \boxed{a = - \frac{7}{4} }[/tex]

hence, our function is [tex]\boxed{f(x) = -\dfrac{7}{4}|x-5|+0} [/tex]

Answer:

x = 6

Step-by-step explanation:

2x - 3 = 9

so 9+3 = 12, and 12÷2 = 6

the value of x is 6

Answer:

both sides are the same

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x + 4 + x + 23 = 180

3x + 27 = 180

3x = 153

x = 51

Answer:

408.40704

Step-by-step explanation:

g(-3) = 0.5 =

[tex] \frac{1}{2} [/tex]

[tex]\huge\mathfrak\colorbox{white}{}[/tex]

g(2) as defined = 2

[tex]\huge\mathfrak\colorbox{white}{}[/tex]

g(4)= 8-4 = 4

Answer:

Step-by-step explanation:

Discussion

If the radius goes through 1 rotation. The "angle" gone through is 360 degrees. So the method is to figure out circumference of the circle, multiply this by a fraction involving 120, and you are done.

Formula

Arc Length = (120/360) * 2 * pi * r      Substitute values into this equation.

Givens

Central angle = 120

r = 9.5

Solution

Arc Length = (120/360) * 2 * 3.14 * 9.5

Arc Length = (0.333) * 2 * 3.14 * 9.5

Arc Length = 19.87 cm

The number of ways a pizza with three different toppings out of 7 can be made is ⁷C₃(35).

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

^nC_r = \dfrac{n!}{(n-r)!r!}\ , \ \ ^nP_r = \dfrac{n!}{(n-r)!}

where,

n is the number of choices available,

r is the choices to be made.

The number of ways a pizza with three different toppings out of 7 can be made is ⁷C₃(35).

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Answer:

3

Step-by-step explanation:

Rearrange in the slope-intercept form :

Comparing this to the standard equation :

The cost of wallpaper used to cover all sides of the storage box is given by $3 per square foot

Surface area of a box = 2(lh + wh + lw)

= 2(9×5 + 8×5 + 9×8)

= 2(45 + 40 + 72)

= 2(157)

= 314 square foot

Cost of wallpaper per square foot = $942 ÷ 314 square foot

= $3 per square foot

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Answer:

The factorisation of 405

405 = 5x3x3x3x3

Answer:

405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5

Step-by-step explanation:

I'll factor 405 with the Factor Tree Method.

Step 1: Place the number 405 on top of the factor tree.

Step 2: Notice that 405 can be divided by 5 -> 405 = 5 x 81. The two branches from 405 become 5 and 81.

Step 3: Continue factorizing other numbers in the tree until you are left only with the prime factors, which you cannot further factorize.

Step 4: Write the number as the product of prime factors you got.

405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5

Answer:

[tex]\sf \sqrt{29}[/tex]

Step-by-step explanation:

To find the distance between points H(-2, -3) and F(-4, 2), use the distance formula.

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where:\\ \phantom{ww}$\bullet$ $d$ is the distance between two points. \\\phantom{ww}$\bullet$ $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}[/tex]

Substitute the points into the distance formula and solve for d:

[tex]\begin{aligned}d&=\sqrt{(x_F-x_H)^2+(y_F-y_H)^2}\\\\&=\sqrt{(-4-(-2))^2+(2-(-3))^2}\\\\&=\sqrt{(-4+2)^2+(2+3)^2}\\\\&=\sqrt{(-2)^2+(5)^2}\\\\&=\sqrt{4+25}\\\\&=\sqrt{29}\end{aligned}[/tex]

Therefore, the exact distance between points H and F is [tex]\sf \sqrt{29}[/tex].

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From the four graphs presented, it is expected the only one with a negative correlation coefficient is the third graph or graph c.

This occurs when the two variables analyzed go in opposite direction, which means one increases and the other decreases.

In a graph, a negative correlation coefficient is related to a negative slope.

This negative slope can be seen in the third graph or graph C.

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C. 68°

292° lies on 4th quadrant.

1st quadrant: angle

2nd quadrant: 180° - angle

3rd quadrant: angle - 180°

4th quadrant: 360° - angle

So, reference angle: 360° - 292° = 68°

Answer: they are all correct congrats!

Step-by-step explanation: