In ΔMNO, the measure of ∠O=90°, the measure of ∠M=17°, and NO = 7.5 feet. Find the length of OM to the nearest tenth of a foot.

Answer:

5 5/8

Step-by-step explanation:

This is in the simplest form

Answer:

1/3 of the pizza remains.

Step-by-step explanation:

Matthew eats 1/3 of 1/2 of the pizza, which is (1/3)*(1/2) = 1/6 of the pizza.  The amount of pizza left is

1/2 - 1/6 = 3/6 - 1/6 = 2/6 = 1/3

1/3 of the pizza remains.

Answer:

number of children admitted to the zoo=70

let adult =a

let children=c

a+c=165........equation 1

10a+7c=1440.......equation 2

a=165-c........equation 3

substitute equation 3 in equation 2

10a+7c=1440

10(165-c)+7c=1440

1650-10c+7c=1440

-10c+7c=-210

-3c=-210

c=70

Therefore children =70

Answer:

what if i took the 4 other ones??

Answer:

4 kids

Step-by-step explanation:

6 minus 2 equals 4. it one easy qusation

Answer:

A. X∪Y = {25, 36, 49}

B. X∩Y = ∅ i.e empty set

C. X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

D. X′∩Y∩Z = ∅

Step-by-step explanation:

We'll begin by determining the universal set (ε), set X, set Y and set Z.

This can be obtained as follow:

ε = {whole numbers less than 50 but greater than 20}

ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

X = {perfect squares}

X = {25, 36, 49}

Y = {factors of 12}

Y = ∅ i.e empty

Z = {prime numbers}

Z = {23, 29, 31, 37, 41, 43, 47}

A. Determination of X∪Y

X = {25, 36, 49}

Y = ∅

X∪Y =?

X∪Y => combination of elements in set X and Y without repeating any element in both X and Y.

X∪Y = {25, 36, 49}

B. Determination of X∩Y

X = {25, 36, 49}

Y = ∅

X∩Y =?

X∩Y => elements common to both set X and Y

X∩Y = ∅ i.e empty

C. Determination of X′

ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

X = {25, 36, 49}

X' =?

X' => elements in the universal set but not found in set X.

X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

D. Determination of X′∩Y∩Z

X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

Y = ∅

Z = {23, 29, 31, 37, 41, 43, 47}

X′∩Y∩Z =?

X′∩Y∩Z => elements common to set X', Y and Z

X′∩Y∩Z = ∅

Answer:

8 bags

Step-by-step explanation:

You divided them by 20 which gives you 4. So you take the 3 and multiply by 4 which is 12 bags. And then you do the same for your bags which makes you do 2 times 4 which gives you 8. You take 20 - 12 and that leaves you with 8.

Answer:

197.095

Step-by-step explanation:

Mean, m = 219 ft²

Standard deviation, s = 32.5 ft²

For a bedroom to be among the smallest 25%

P(x < Z) = 0.25

From Z probability calculator, this corresponds to a Zscore of - 0.674

Recall :

Zscore = (x - m) / s

x = bedroom size

-0.674 = (x - 219) / 32.5

-0.674 * 32.5 = x - 219

-21.905 = x - 219

x = - 21.905 + 219

x = 197.095

Hence, the largest a bedroom can be and still be among the smallest 25% is 197.095

Answer:

D.

Step-by-step explanation:

the factors are (x-1)(x+4)(x-4)

Answer:

option b 66.5u square is the correct ans

Answer:

Lily earns $225

y represents the amount that Lily earns

x represents the painting's price

Step-by-step explanation:

Answer:

390.7ft³ is the answer

Answer:

153.86 mm²

Step-by-step explanation:

Radius of circle = diameter/2 = 14/2 = 7mm

Area of circle = πr² = (3.14)(7mm)²

= 3.14 x 49 mm²

= 153.86 mm²

Answer:

the answer is 70

Step-by-step explanation:

Because I'm in collage I know this stuff just trust me here

Answer:

1:20:500

Step-by-step explanation:

2m:8cm:4mm

Convert the three to a single unit, take mm giving 2000:80:4

In its simplest form 500:20:1=1:20:500

Answer:

C.6

Step-by-step explanation:

Remember, a constant term is a term that keeps repeating. Also, it's the only term that doesn't contain a variable. In this equation, 6 is the constant.

Hope I helped!!!

Answer:

Thank youuu !

Step-by-step explanation:

Answer:

Thank you

Step-by-step explanation:

Answer:

I believe it's 20 seconds.

Answer:

the answer is 24 centimeters

Answer:

29 degrees

Step-by-step explanation:

Both angles are the same.

Answer:

The answer should be that Q is (-3,-2)

Step-by-step explanation:

Answer=53

Step-by-step explanation:

Answer:

.072 / 345.00 = 0.0002086956

the tenth place is the fist digit to the right of the decimal point

so it would round to 0.0

Step-by-step explanation:

Answer:

(1,-2)

Step-by-step explanation:

The pic above the answer is how I got my answer. if you need to show your work you can use that

Answer:  502.4 m

Step-by-step exp

Answer: C or 502.04

Step-by-step explanation: took the practice got 100%

Answer:

Step-by-step explanation:

A right circular cylinder has a volume of 1296 cubic inches

The volume of a cylinder = πr²h

Step 1

We find the radius

1296 inches = πr²h

r² = 1296/π ×>h

if the radius of the cylinder is divided by 12 what be the volume in cubic inches of the smaller cylinder

Answer:

LM = 15 units

Step-by-step explanation:

Vertices of ΔLMN are,

L(9, 7), M(9, -8), N(1, 7)

By using formula to get the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore, distance between vertices L and M,

LM = [tex]\sqrt{(9-9)^2+(7+8)^2}[/tex]

LM = 15 units