find an equation and the slope of the line that passes through (5,2) and is perpendicular to the x-axis

y=2; The slope is undefined.

x=5; The slope is 0.

y=2; The slope is 0.

x=5; The slope is undefined.

[tex]\text{Area of the trapezoid}= \left(\dfrac{AD+BC}2\right)CK\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\left( \dfrac{10+8}2\right) \times 30 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac{18}2 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=9 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=270~~ \text{sq units.}[/tex]

123°

Finding the Missing Angle Within the Triangle

We know that all triangles sum to 180 degrees. So, to find the missing angle within the missing angle, we can create an equation. For the purposes of this equation, I will use y as the missing angle within the triangle.

Then, solve for y by subtracting 55 and 68 from both sides.

Finding X

The missing angle within the triangle is supplementary to the x angle. Supplementary angles are angles that sum to 180. So, to find x we can create a new equation.

Next, solve the formula by subtracting 57 from both sides.

Shortcut

In cases like this, there is a shortcut that can be used. This shortcut can be used when you are trying to find a supplementary angle outside of a triangle, and you are given the other 2 angles of triangle. The x value will always be equal to the sum of the 2 angles that are not adjacent to the missing, outside angle.

So, in this case, [tex]x=68+55[/tex] because 68 and 55 are not adjacent to the outside angle, x.

Answer:

1. 360 km

2. 2 seconds

Step-by-step explanation:

Formula

distance = speed × time

Given:

⇒ distance = 120 × 3 = 360 km

----------------------------------------------------------------------------------

Given:

To find time (t), use the SUVAT equation:  v = u + at

⇒ 20 = 0 + 10t

⇒ 20 = 10t

⇒ t = 20/10

⇒ t = 2 s

Answer:

Day 44

Step-by-step explanation:

Given function:

[tex]f(t)=500t^2[/tex]

where:

To find the day on which the number of daily hits reaches 1,000,000, set the function to 1,000,000 and solve for t:

[tex]\begin{aligned}f(t) & =1000000\\ \implies 500t^2 & = 1000000\\ t^2&=\dfrac{1000000}{500}\\ t^2 & = 2000\\ t & = \pm \sqrt{2000}\\ t & = \pm 44.72135955...\end{aligned}[/tex]

As time in positive, t = 44.72135955 only.

This tells us that the number of daily hits reaches 1,000,000 during the 44th day.  

Answer:

D

Step-by-step explanation:

You are always able to do better, and Fiona needs to reflect

Answer:240

Step-by-step explanation: ×/6 =40

Multiply both sides by 6

× is 240

The measure of the angle BAC is 72degrees

We have given that the

angle B=108 degrees and angle C=60 degrees.

We have to determine angle A

In parallelogram

The sum of the two angles is 180 degrees.

Therefore we get,

angle A+ angle B=180 degrees

angle B=108 degrees

angle A +108=180

angleA=180-108

angleA=72 degrees.

Therefore the measure of the angle A is 72degrees

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Answer:

136

Step-by-step explanation:

Area of trapezoid:

a+b/2 * h

so,

(12/2 + 22/2) × 8

12 + 22 = 34

34/2 = 17

17 × 8 = 136

Answer:

0.5s

Step-by-step explanation:

His initial mean would be calculated by:
His minimum race time = 19.8s

The maximum race time = 19.8 + 5.6 = 25.4s

Since the mode is also 25.4, there are 2 25.4s races.

Since the median is 23.8s and the number of race times is even, the final race time can be calculated by:

25.4- 23.8s = 1.6s

23.8-1.6 = 22.2s

So the race times are 19.8s, 22.2s, 25.4s and 25.4s.

This means that his initial mean was (19.8+22.2+25.4+25.4)/4 = (42+50.8)/4= 92.8 /4 = 23.2s

With the new race time, the equation will change to (92.8+25.7)/(4+1)= 118.5/5= 23.7s

So the mean change would be 23.7 - 23.2 = 0.5 s.

Hope this helps!

Answer: $15.49.

Step-by-step explanation: So far, her pizza already costs $13.99 because she chose large.  However, she also ordered two toppings for $0.75 each, which is $1.50.  We need to add $13.99 and $1.50 to find out the total cost of her custom pizza.

$13.99 + $1.50 = $15.49.

Therefore, the total cost of her pizza is $15.49.

Have a great day! :)

Answer:

A. 3,703 inches squared

Step-by-step explanation:

I took the test and got it right. #platofam

Answer:

-20.5⁰F

Step-by-step explanation:

i dont know how to explain thoughh

Answer:

a

Step-by-step explanation: got it right on edge

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The cost of 500 shares of Delta Air is $25,305.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The cost of a single share is $50.61, therefore, the cost of 500 shares will be,

Cost of 500 shares = 500 × cost of single share

                                 = 500 × $50.61

                                 = $25,305

Hence, the cost of 500 shares of Delta Air is $25,305.

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Answer:

1. 8000mm is the same as 8 metres. So 8km is greater than 8000mm

2. 5000m is the same as 5 km. So 50 km is greater than 5000m

3. 100cm is the same as 1 m. So 10m is greater than 100cm

4. 40 cm is the same as 400mm. So 4mm is less than 40cm.

Answer: x>=200

Step-by-step explanation:

Answer:

It is called the test statistic

Step-by-step explanation:

Hope this helps:)...if not then sorry for wastign your time and may God bless you:)

Step-by-step explanation:

normal 100 part sale 15 part saple price 85 part

85/100 = 272000/normal price

normal price = 272000 × 100/85

= 320000

Answer:

312800

Step-by-step explanation:

You could do 272000 times 15% then add the discount price

which is 272000 + 40800 = 312800

Answer:

Rational number

Step-by-step explanation:

√16 is Rational number simply because its value is 4, which can be expressed as a Ratio of Two Numbers

Answer:

x*5.5 + y* 7.25 = 45.5

x + y = 7

Step-by-step explanation:

every Espresso cost 5.5 => x*5.5

And the total cost is 45.5 so the sum should be 45.5

there are 7 coffees. means that the number of Espresso and latte is 7

Answer:

Exact Form:

3√5

Decimal Form:

6.70820393

Step-by-step explanation:

Answer:

Distance = 3√5 or 6.708203932,,,

Step-by-step explanation:

Find the distance between the y-values and x-values which in this case would be 6 and 3. Use the Pythagorean theorem.

[tex]3^2 + 6^2 = 45[/tex]

Simplify.

[tex]\sqrt{45} = 3\sqrt{5}[/tex]

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

Answer:

y = -2x +2 I think

Step-by-step explanation:

Answer:

Greatest diameter of hemisphere = 14 cm

Surface area of solid = 1330 cm²

Step-by-step explanation:

Side of the cube (a) = 14 cm

If a cube is surmounted (placed right over its top) by a hemisphere, then that means that the greatest diameter of the hemisphere will be equal to the measure of the edge of the cube (a cube has equal sides). Hence,  the greatest diameter of the hemisphere is 14 cm & the radius (r) will be 14/2  = 7 cm (radius = ½ diameter)

Now, we need to find the surface area of the solid.

Here, the solid comprises of a cube & a hemisphere sharing a same circular base area. Hence,

Surface area of the solid

= Surface area of cube + Curved surface of hemisphere - Circular base area

= 6a² + 2πr² - πr²

= 6a² + πr²

= 6(14)² + 22/7×(7)²        [π = 22/7]

= 1176 + 154

= 1330 cm²

[tex]\rule{150pt}{2pt}[/tex]

NOTE:

Refer to the attached picture to see how a hemisphere is surmounted on top of a cube.

[tex]\rule{150pt}{2pt}[/tex]

Please find attached herewith the solution of your question.

If you have any doubt, feel free to ask.

Answer:

2-5f ≤ 52, so -5f ≤ 50

f≥-10, because we flip the sign when multiplying or dividing by a neg number for inequalities.

Draw a closed circle on -10 and in the direction all the way towards the right arrow.

Given points: (3,2) and (-1,-4)

[tex]\boxed{ \sf slope : \frac{y_2 - y_1}{x_2 - x_1} }[/tex]    where (x1, x2), (y1, y2)

Here slope:

[tex]\hookrightarrow \sf \dfrac{-4-2}{-1-3}[/tex]

[tex]\hookrightarrow \sf \dfrac{-6}{-4}[/tex]

[tex]\hookrightarrow \sf \dfrac{3}{2}[/tex]

Thus slope: 3/2     [in simplest fraction]

Slope:-

Answer: Total spent $35,20

Step-by-step explanation: if shrimps is 4$/kg, then 5kg Will be $20

If scallops is $4/kg then 3.8kg Will be 4 × 3.8 = 15.2

Check the prices you stated in your question

The line of best fit shows that Luther can expect the speed to be 51 miles/hour when he throws 80 pitches and 64 miles/hour when he throws 54 pitches.

The average speed of Luther's pitches when he throws 80 pitches will be:

y = -0.511x + 91.636

= -0.511(80) + 91.636

= 50.756

= 51

Also, the number of pitches that Luther can throw when the speed is 64 miles per hour will be:

y = -0.511x + 91.638

64 = -0.511x + 91.638

0.511x = 91.638 - 64

0.511x = 27.636

x = 54

Therefore, the number of pitches will be 54.

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Answer:

125 ways

Step-by-step explanation:

5 x 25 = 125

Hope this helps!