find the area of the trapezoid. if the answer is not an integer, leave it in simplest radical form, The figure is not to scale. (image included)

Answer:83.3∘

Step-by-step explanation:

The measure of angle O from the triangle MNO is 156.92°.

In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

The formula for the cosine rule is c=√(a²+b²-2ab cosC)

here, we have,

Given that,

in triangle MNO,

m = 720 cm, n = 160 cm and o=870 cm.

Now, 870=√(720²+160²-2×720×160 cosO)

870²=720²+160²-2×720×160 cosO

756900=544000-230400 cosO

212900=-230400 cosO

cosO= -212900/230400

cosO= -0.92

∠O=156.92°

Therefore, the measure of angle O from the triangle MNO is 156.92°.

Learn more about the cosine rule here:

brainly.com/question/26952873.

#SPJ7

Answer:

A.) 4/25

Step-by-step explanation:

Answer:

1. p=6

2. open

3. 3x = 12

Answer:

Step-by-step explanation:

x+y = 9

x-y = 60

-----------

2x = 69

x = 34.5

y = 9-x = -25.5

smaller number: -25.5

larger number: 34.5

Answer: 8 dinos

Step-by-step explanation:

there are 4 boxes and 5 handfuls in each. divide 160 by 4 and divide that, 40, by 5 to get 8

Answer:

I think its B or C

Step-by-step explanation:

Answer:

k=9

..............................

Answer:

We need the question to answer plz.

Step-by-step explanation:

lol

Answer:

390 Millions of bacteria particles by the end of one week.

Step-by-step explanation:

The Bacteria Growth Rate Formula is:  ---> N (T) = N (0) * (1 + R) ^tT

N (0) = # of bacteria present during the beginning of the experiment

Variable R= Growth rate

Variable T= Time taken / elapsed.

Substitute the #'s for N (T)

N (0) and T from the given description

We then get the value of variable R.

220 = 20 * (1+R) ^ (24 hrs)

When solving for R, we get R = 0.105074

1 week= (7 x 24 = 168) hrs

We need to plug in the solutions

Therefore

N (168 hours) = 20 * (1+0.105074) ^168

Which is around 390 millions.

So now we know that there will be 390 millions of bacteria particles at the end of 1 week

Answer:

1/4 : 3 = 0.75

0.75 = 3,4

So B is the correct answer.

Answer:

Step-by-step explanation:

first thing you didn't give any quadratic equation and also didn't allude which method you indeed however I'll give you two methods

to get elaborately factoring method

see this question which is answered by me

quadratic formula:

by using this formula we can solve quadratic very early

we just need to substitute the value of a,b and c and simply to get x

Example 1 – Solve: Example 1

Step 1: Identify a, b, and c and plug them into the quadratic formula. In this case a = 1, b = –8, and c = 14.  

Step 1

Step 2: Use the order of operations to simplify the quadratic formula.  

Step 2

Step 3: Simplify the radical, if you can. In this case you can simply the radical into:  

Step 3

Step 4: Reduce the problem, if you can. In this case you can reduce the entire problem by 2.  

Answer:

90 I hope this helps good luck

Answer:

Its 90 degrees but I am not sure what you are asking

Step-by-step explanation:

Answer:

24.5

Step-by-step explanation:

Answer:

x = 8

y = 14

Step-by-step explanation:

2x + 6 = 4x - 10 (Corresponding angles so they're equal)

2x - 4x = -10 - 6

-2x = -16

x = 8

2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)

2(8) + 6 + 13y - 24 = 180

16 + 6 + 13y - 24 = 180

13y - 2 = 180

13y = 182

y = 14

Answer:

2x+6=4x-10[corresponding angle]

16=2x

x=8

again

2×8+6+13y-24=180°[linear pair]

13y=180+2

y=182/13

y=14

Answer:

11/25

Step-by-step explanation:

we can divide both top/bottom by 100, to get 11/25

:)

Answer:

P = y * 1.06

Step-by-step explanation:

Let y be the net price (no tax), t the tax (as a factor) and P the total price (tax included),

P = y * t

From the info provided, we know that for each 100 USD, 6 USD is tax, so 6%,

TIP: By multiplying by 1.06 we add the 6% to the net price (6% is 0.06)

P = y * 1.06

Answer:

Rate.

Step-by-step explanation:

Step-by-step explanation:

1. Since ark MN is equal in length with ark PQ, line MN=PQ

So 4x+10=38

4x=38-10

4x=28

x=28/4

x=7

3. Same thing so we equate the two parameters

5x-7=3x+2

2x=9

x=9/2

x=4.5

Answer:

Step-by-step explanation:

y = 4x + 1

Slope of line = 4

Slope of perpendicular to line = -¼

Point-slope equation for line of slope -¼ that passes through (12, -7):

y+7= -¼(x-12)

Hi there!

[tex]\large\boxed{3 \text{ boxes}}[/tex]

Calculate the number of boxes of cubes needed by calculating the volume of the pictured figure.

We can see that it has a width of 4 blocks, depth of 2 blocks, and a height of 8 blocks.

Calculate volume: V = l × w × h

V = 4 × 2 × 8  = 64 cubes in each box.

Since she needs 140 cubes, we can find how many boxes she would need for this amount:

140 ÷ 64 = 2.1875.

However, you cannot buy a part of a box, which is why you must round to a whole number. However, only buying 2 boxes would be too little.

Thus, she would need to buy 3 boxes.

Answer:

7-4/6 = 6.33333333333

234-303+93847 = 93778

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

get to the middle of the 5's and that's your answer =>=

Answer:

The answer is 5

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

+2($($;$)2:

hope it helps

Answer:

1. Yes, the table shows a probability distribution.

2. 0.39 males.

3. 0.6082 males.

Step-by-step explanation:

The random variable x is the number of males in the group who have a form of color blindness. Determine whether a probability distribution is given:

A probability distribution is given if the sum of all probabilities is 1.

We have that:

0.669 + 0.278 + 0.048 + 0.004 + 0.001 + 0 = 1

So yes, the table shows a probability distribution.

2. Find the mean of the random variable x.

We multiply each value by its probability. So

[tex]\mu = 0*0.669 + 1*0.278 + 2*0.048 + 3*0.004 + 4*0.001 + 5*0.000 = 0.39[/tex]

The mean is 0.39 males.

3. Find the standard deviation of the random variable x.

Square root of the subtraction squared of each value and the mean, multiplied by its respective probability. So

[tex]\sigma = \sqrt{0.669*(0-0.39)^2+0.278*(1-0.39)^2+0.048*(2-0.39)^2+0.004*(3-0.39)^2+0.001*(4-0.39)^2+0.000*(5-0.39)^2} = \sqrt{0.3699} = 0.6082[/tex]

The standard deviation is of 0.6082 males.

where are the coeffients?