Shelton mixed cups of purple cabbage and cups of lettuce to make a big salad. Each day he eats of a cup of salad. Which expression shows how many servings of salad Shelton has?

Answer:

43.55

Step-by-step explanation:

1. Use the distance formula on both points AC and AB.

Distance formula is this:

[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\[/tex]

Distance for AC  is  16.16

Now do the same with the numbers for AB and get the distance of 5.39

2. To get the area, use the formula 1/2 x base x height

AB is the base and AC is the height.

1/2 x 16.16 x 5.39 = 43.55

The area of triangle ABC is 43.5 square units.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The shape ABC is a triangle.

Where,

AB = Base

AC = Height

A = (1, 8)

B = (6, 6)

C = (-5, -7)

First, let's find the length of AB using the distance formula:

AB = √((6-1)² + (6-8)²)

= √(25 + 4)

= √(29)

Next, let's find the length of AC using the distance formula:

AC = √((1-(-5))² + (8-(-7))²)

= √(36 + 225)

= √(261)

The area of the triangle ABC can be found using the formula:

Area = (1/2) x base x height

We know that AB is the base and AC is the height,

Area = (1/2) x AB x AC

Area = (1/2) x √(29) x √(261)

Area = (1/2) x √(7569)

Area = (1/2) x 87

Area = 43.5

Therefore,

The area of triangle ABC is 43.5 square units.

Learn more about triangles here:

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#SPJ2

Answer:

79

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

Each number has a 7 numerical difference

Answer: Sale Price = $84.99 (answer). This means the cost of the item to you is $84.99. You will pay $84.99 for a item with original price of $99.99 when discounted 15%. In this example, if you buy an item at $99.99 with 15% discount, you will pay 99.99 - 14.9985 = 84.99 dollars.

Step-by-step explanation:

Answer:

u=79

Step-by-step explanation:

68=u-11

add 11 to 68

u=79

Answer:

net amount 143 89 tax 6.25 % which is $8.99 gross amount is $152.88

Answer:

y=5x-12

Step-by-step explanation:

y=5x+3, and just replace the x and y to get the b. The slope is the same.

1) 3=5(3)+b

2)3=15+b

3)-12=b

4) y=5x-12

Answer:

x = 60 and y=25

Step-by-step explanation:

it is equilateral triangle and  an equilateral triangle is a triangle in which all three sides have the same length. In the familiar  geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

Answer:

-9, -6.3, -6, -4, -4, -1.5, 0.25, 1/4, 1/2, 3/4, 0.99, 2, 2.1, 3.9

Step-by-step explanation:

Here ya go! Brainliest Please!!!!!!?!!!!!!!!!!!!

Answer:

With parentheses:

(3 - 4)(4 + 5)/3

Without parentheses:

7 + 6 - 11 × 2

Hope this helps! :)

The speed of a wave is the product of the wavelength and its frequency.

The speed of the wave is 20m/s

Given

[tex]\lambda = 10m[/tex] --- the wave length

[tex]f =2Hz[/tex] --- the frequency

[tex]A = 3m[/tex] --- the amplitude

The speed of wave (v) is calculated as follows:

[tex]v =f\lambda[/tex]

Substitute values for f and [tex]\ambda[/tex][tex]\lambda[/tex]

[tex]v = 2Hz \times 10m[/tex]

[tex]v = 20ms^{-1}[/tex]

Hence, the speed of the wave is 20m/s

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principal=$1900

rate =13.6 %

simple interest= $35

Time=?

SIMPLE INTEREST ={PRINCIPAL×RATE×TIME}/{100}

$35= [tex]{$1900 ×13.6× TIME}{100} /[/tex]

$35×100=25840× TIME

TIME=[tex]\bold\frac{ 3500}{25840}[/tex]

TIME=[tex] 700/5168 [/tex]

TIME=[tex]{\tt{\green{\underline{\underline{\huge{0.1354489164}}}}}}[/tex] years

sorry I can't solve wrong answer

Answer:

positive 3

Step-by-step explanation:

flip it so its 10-7

Answer:

13/24 more

Step-by-step explanation:

Dina = 5/6

Natasha = 11/8

Find the LCF

6| 6, 12, 18, 24

8| 8, 16, 24

Get each fraction to have a denominator of 24

5/6 = 20/24

11/8 = 33/24

Subtract 20/24 from 33/24

33/24 - 20/24 = 13/24

Answer: Yes

Step-by-step explanation:

A supplementary triangle has sides adding up to 180°.

We have the side lengths 40, 60, and 80.

To find out if it is a supplementary triangle, we will add all the sides.

40 + 60 + 80 = 180

We get 180° as our answer when we add.

We got 180°, so the answer is yes, it can.

Best of Luck!

Answer:

yes.

Step-by-step explanation:

Any angle that adds up to 180 is a supplementary angles.

based on your examples 40, 60, 80, if you sum it up...

it equates to 180. so the answer is yes.

Answer: 4x+8

Step-by-step explanation:

Okay since the area for the block is X, two numbers multiplied together is X.

Since the big block has an area of X^2, then this shows the sides to be X.

This gives the sides of the block with area X to be 1 and X.

Now just add up every side like this : 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + x + x + x + x to get 4x+8

Answer:

y=-3x+1

Step-by-step explanation:

Have a good one.

Answer:

2/9

Step-by-step explanation:

6 - 4 = 2

2 divided by 9 = 2/9

Answer:

[tex]m\angle ADC=132^\circ[/tex]

Step-by-step explanation:

The Law of Sines

It is an equation relating the lengths of the sides of a triangle to the sines of its opposite angles. If A, B, and C are the lengths of the sides and a,b,c are their respective opposite angles, then:

[tex]\displaystyle \frac{A}{\sin a}=\frac{B}{\sin b}=\frac{C}{\sin c}[/tex]

We have completed the figure with the variable x for angle BDA. Thus

[tex]\displaystyle \frac{35}{\sin 120^\circ}=\frac{30}{\sin x}[/tex]

Solving for x:

[tex]\displaystyle \sin x=\frac{30\sin 120^\circ}{35}[/tex]

Calculating:

[tex]\sin x=0.742[/tex]

[tex]x=\arcsin 0.742[/tex]

[tex]x\approx 48^\circ[/tex]

Since angles ADC and x are linear, their sum is 180° and:

[tex]m\angle ADC=180^\circ-48^\circ[/tex]

[tex]\mathbf{m\angle ADC=132^\circ}[/tex]

Answer:

the answer is 33

Step-by-step explanation:

Answer:

One mile every one min

Step-by-step explanation:

Answer:

1 mile per minute

Step-by-step explanation:

it covers 60 miles in 1 hour and there are 60 minutes in 1 hour.

60 mile per hour/60 minutes = 1 mile per minute.

Answer:

40:60:80

Step-by-step explanation:

2x+3x+4x=180 (sum of ang. In tri. Is 180)

X=20

2x is 40

3x is 60

4x is 80

40 plus 60 plus 80 is 180.

Answer:

D, F, C

I hope this helps you out! :D

Answer:

A and E

Step-by-step explanation:

I have attached the graph of the problem.

Answer:

1/2 or 0.5

Step-by-step explanation:

Answer:

the first one is 5/12 and the second one is 6/28. Hope this helps and have a nice day:)

Answer: 5/12, 3/14

Step-by-step explanation:

first problem:

first, we just reduce the numbers.

5/4 x 1/3

then, we simply multiply.

5/12

second problem:

again, we just reduce the numbers.

3/2 x 1/7

and then multiply.

3/14

Answer:

6552 ÷3 =2184

Answer:

2.62 ft./min

Step-by-step explanation:

Just took the test.

Complete Question:

Yanay gets a lot of spam calls. An area code is defined to be a three digit number from 200-999 inclusive. In reality, many of these area codes are not in use, but for this question we'll simplify things and assume they all are.

Assuming each area code is just as likely as any other, what's the probability that the area code of two back to back spam calls are 804?

Answer:

1/6400 or 0.0000015625

Step-by-step explanation:

Given

Area Codes = 200 to 999 (inclusive)

Required

Determine the probability that back to back calls have area code 804

[First, we need to calculate the totality of area codes]

Total Area Codes = 999 - 200 + 1

Total Area Codes = 800

The probability of each code is 1/800

So, the probability of having back to back code of 804 is:

Probability = 1/800 * 1/800

Probability = (1/800)²

Probability = 1/640000

Hence, the required probability is 1/640000 or 0.0000015625