Which expression is equivalent to mc014-1?

Answer:

[tex]\frac{11}{2}[/tex]

Step-by-step explanation:

[tex]\frac{x}{AB}[/tex]=cos60

x=[tex]\frac{AB}{2}[/tex]=[tex]\frac{11}{2}[/tex]

in a right angled triangle cosA=[tex]\frac{adjacent}{hypotenuse}[/tex]

so cosB=[tex]\frac{x}{11}[/tex]

[tex]\frac{1}{2}[/tex]=[tex]\frac{x}{11}[/tex]

x=[tex]\frac{11}{2}[/tex]

Answer:

Step-by-step explanation:

x is the smallest side because it is opposite of 30° angle.

The side opposite to 30° is half the hypotenuse:

Answer:

try asking a parent or brother/sister

Answer: -101/18

Step-by-step explanation: I think, I don’t know

Answer:

It is OC) 11,700 yd.

Step-by-step explanation:

when finding new area, take you 2 numbers, 52 and 15, square the 15,  then multiply them 52 x 15^2 = 11,700

Answer:

C) 11, 700 yd²

Step-by-step explanation:

Let [tex]x[/tex] = width of a rectangle

Let [tex]y[/tex] = length of a rectangle

Area of a rectangle = width x length

⇒ area = [tex]xy[/tex]

If a rectangular garden has an area of 52 yd²

⇒ [tex]xy[/tex] = 52

If the length and width are multiplied by 15:

⇒ new width = [tex]15x[/tex]

⇒ new length = [tex]15y[/tex]

⇒ area = [tex]15x \times 15y=225xy[/tex]

If xy = 52,  

new area = 225xy = 225 x 52 = 11700

Answer: 18

Step-by-step explanation:

We want to find out how many letters each postman can sort in an hour to make the process easier. Since we're already told that 10 postmen can sort 500 letters in 30 minutes, we can use that info to find that each postman can sort 100 letters per hour as 10 postmen would be able to sort 1000 letters in 1 hour.

Then, we can apply this info to find out how many postmen can sort 600 letters in 20 minutes. We can multiply the time and task each by 3 to find that this is the same rate as sorting 1800 letters in 1 hour, so the answer is 18 postmen.

Circle graphs are used to represent data in percentages and proportions

There are 25 salads in the restaurant shelf

From the question, we have:

So, the total number of salad is:

n * 60% = 15

Divide both sides by 60%

n = 25

Hence, there are 25 salads in the restaurant shelf

Read more about circle graphs at:

https://brainly.com/question/24461724

The approximate cost of the banner which is charged by print shop before tax is 92.30.

The cost price per unit is the amount of money required to buy one uni of a brand or goods.

To find the cost price per unit, divide the total amount of cost of the goods to the total number of goods.

The length of the sides of parallelogram banner which order by Jace is 9 feet and the length of the bottom side is 12 feet.  

The length of the diagonal is 19 ft. The parimeterof the triangle made by this sides is,

[tex]s=\dfrac{9+12+19}{2}\\s=20[/tex]

Using Heron's formula, the area of this triangle is,

[tex]A=\sqrt{20(20-9)(20-12)(20-19)}\\A=\sqrt{20\times11\times8\times1}\\A=41.95\rm ft^2[/tex]

Now the area of the banner is,

[tex]A=41.95\times2\\A=83.90\rm ft^2[/tex]

The print shop charges $1.10 per square foot for banners of any shape and size.Thus, the charge of the banner with area 108 square foot is,

[tex]P=1.10\times83.90\\P=92.29\\P\cong92.30[/tex]

Thus, the approximate cost of the banner which is charged by print shop before tax is 92.30.

Learn more about the cost price per unit here;

https://brainly.com/question/18628158

Rs.13680 is the answer.

Step-by-step explanation:-

Given-

•Principal (P) = Rs.57,000

•Rate (r%) = 6%

[tex]→ \frac{6}{100} [/tex]

[tex]→ 0.06[/tex]

•Time (n) = 4 years

Applying Interest formula,

[tex]→In=P \times R \times T[/tex]

[tex]→57,000 \times 0.06 \times 4[/tex]

[tex]→Rs.13680[/tex]

Hence, the interest is Rs.13680

Answer:

87 x 54 - 200 divided by 7
solving-4669[3|7] , 4669.428571
answer-32686.7

Step-by-step explanation:

Answer:

A) precision

Step-by-step explanation:

Hope this helps ! :)

Answer:

x = 65.38°

using cosine rule:

Answer:

D. -3x+3y

Step-by-step explanation:

Start by distributing the -3 to each term in the parentheses:

-3(x)+(-3)(-y)

Here are some multiplication sign rules that will make this problem easier:

- - make a +

- + make a -

+ - make a -

+ + make a +

-3x+3y (note that since both 3 and y are negative, they make a positive)

Answer:

(x,y) (9,4)

Step-by-step explanation:

-2x+7y = 10

x -3y = -3 (move x to the other side)

-2x +7y = 10

x = -3 + 3y (put in for x)

-2 (-3 +3y) +7y =10 ( slove for y)

6-6y +7y = 10

6+y = 10

y = 10-6

y = 4

go back slove for x

x = -3+3x4

x = 9

The value of x is [tex] \frac{1}{4} [/tex]

Step-by-step explanation:

Given:

[tex] \sqrt{x} + \sqrt{x + 2} = 2[/tex]

Rearranging the radical on left side,

[tex]\sqrt{x + 2} = 2 - \sqrt{x}[/tex]

Power on both sides,

[tex](\sqrt{x + 2})^{2} = (2 - \sqrt{x})^{2} [/tex]

Simplifying the left,

[tex]x + 2 = (2 - \sqrt{x} )^{2}[/tex]

For the RHS equation, use the property of (a-b)² = (a²-2ab+b²),

[tex] = > x + 2 = {2}^{2} - (2 \times 2 \sqrt{x}) + ( \sqrt{x})^{2} [/tex]

Now calculating its powers,

[tex] = > x + 2 = 4 - 4\sqrt{x} + x[/tex]

Now sending -4√x to the LHS (left side), its sign becomes plus (+),

[tex] = > 4 \sqrt{x} = 4 + x - x - 2[/tex]

Now the +x and -x will be cancelled,

[tex] = > 4 \sqrt{x} = 4 - 2[/tex]

[tex] = > 4 \sqrt{x} = 2[/tex]

Bringing 4 to the right side, it becomes the denominator,

[tex] = > \sqrt{x} = \frac{2}{4} [/tex]

[tex] = > \sqrt{x} = \frac{1}{4} [/tex]

Now powering both sides,

[tex] = > ( \sqrt{x})^{2} = ( \frac{1}{2})^{2}[/tex]

[tex] = > x = \frac{1}{4} [/tex]

Answer: 29

Step-by-step explanation:

4y + 4 + 60 = 180

4y = 116

y = 29

Answer:

A=40

Step-by-step explanation:

5+8=13

104/13=8

5*8=40

8*8=64

A=40

Answer:

hola

Step-by-step explanation:

cómo estás yo bien compita

Answer:

yes

Step-by-step explanation:

there is because in the graph your trying to figure out man idek how to word it you got it from here

Answer:

Step-by-step explanation:

Scalene (no equal side): 4th triangle

Isosceles (two equal sides): 1st, 2nd, and 4th triangle

Equilateral (all equal sides): 3rd triangle

Hope this helps!

Answer:

85 adult tickets

150 children tickets

Step-by-step explanation:

we can write a system of equations and then use the 'elimination method':

let a = adult tickets

let c = children tickets

a + c = 235

5a + 2c = 725

we can multiply the first equation by -5 to get:

-5a - 5c = -1175

now we can add the second equation to get:

5a + 2c = 725

-3c = -450

c = 150

a + 150 = 235

a = 85

Answer:

(1) The first quartile of standard normal distribution is -0.67.

(2) The third quartile of standard normal distribution is 0.67.

(3) The percentage of the observations in the standard normal distribution that are suspected outliers is, 0.74%.

Explanation:

A standard normal distribution has mean 0 and variance 1.

(1)

The first quartile of any data is the value below which 25% of the data lie.

That is, P (Z < z) = 0.25.

The value of z is -0.67.

Thus, the first quartile of standard normal distribution is -0.67.

(2)

The third quartile of any data is the value below which 75% of the data lie.

That is, P (Z < z) = 0.75.

The value of z is 0.67.

Thus, the third quartile of standard normal distribution is 0.67.

(3)

In case of a standard normal distribution values lying outside the range

(Q₁ - 1.5 IQR, Q₃ + 1.5 IQR)

are considered as outlier.

Compute the range as follows:

Compute the probability of (Z < -2.68) and P (Z > 2.68) as follows:

The probability of a value being an outlier is,

P (Outlier) = P (Z < -2.68) + P (Z > 2.68)

                = 0.0037 + 0.0037

                = 0.0074

The percentage of the observations in the standard normal distribution that are suspected outliers is, 0.0074 × 100 = 0.74%.

Step-by-step explanation:

Hope this helped...

Answer:

boy = 14 yrs

Step-by-step explanation:

29-4=25

25-11=14

Answer:

9.899

Step-by-step explanation:

Area of square = side × side

49 = side × side

7 × 7 = side × side

Side = 7 cm

Diagonal of square = side × root2

= 7 × Root2 cm

= 9.899

Answer:

83.33%

Total no. of students = 720

No. of students who failed = 120

Therefore no. of students passed = 720 120= 600

Therefore pass percentage = 600/720* 100 = 83.33%

Step-by-step explanation:

I hope it will help you...

[tex]kai6417[/tex]

#carryonlearning

[tex]% = \frac{parts}{whole} * 100%[/tex]Answer:

Step-by-step explanation:

Hi there,

I have given the answer in the images attached below in order , please do check it out.

If you found my answer helpful please do consider marking me as brainliest as that would mean a lot to me.[tex]e[/tex]

Answer:

the answer is is is is is is is is .............. 194,000

Answer:

I would use addition, subtraction, multiplication, and division in terms of taxes, interest rates, my fixed salaries, and so forth. And dividing rational numbers would be like 10% of the interest rate or 11% of the interest rate. I can also simplify the algebraic expressions to make the terms easier for me in my head.

Step-by-step explanation:

I would use addition, subtraction, multiplication, and division in terms of taxes, interest rates, my fixed salaries, and so forth. And dividing rational numbers would be like 10% of the interest rate or 11% of the interest rate. I can also simplify the algebraic expressions to make the terms easier for me in my head.

Answer:

D) x + y = 20

9x + 6y = 168

Step-by-step explanation:

x, y, is in pound, the weight

$168 is money, $9, $6

thankss for the point and i appreciate if mark my answer as brainliest <3

Answer:

Step-by-step explanation:

Given:

Required equations:

Answer:

I think there should be 950 at the first .. then the answer will be subtract 150