These shapes below are mathematically

Answer:

The slope of the line is two.

Step-by-step explanation:

Recall that to find the slope between any two points, we can use the slope formula:

[tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Let (6, 8) be our (x₁, y₁) and let (1, -2) be our (x₂, y₂). Substitution yields:

[tex]\displaystyle m=\frac{(-2)-(8)}{(1)-(6)}[/tex]

Subtract:

[tex]\displaystyle m=\frac{-10}{-5}[/tex]

Divide:

[tex]m=2[/tex]

Therefore, the slope of the line is two.

Answer:

2

Step-by-step explanation:

Answer: 496

Step-by-step explanation:

Subtract the amount she gives her mom from the total amount she has:

22 - 12 = 10

She has 10 boxes left.

Answer:

Between 0-180

Step-by-step explanation:

Cause it is facts first

Answer:

Total distance = 5 miles

Step-by-step explanation:

Given:

Total time for drive = 10 min = 10 / 60 = 1/6 hour

Time for stop = 5 min

Speed = 30 miles pr hour

Find:

Total distance

Computation:

Total distance = Speed × time

Total distance = 30 × (1/6)

Total distance = 5 miles

Answer:

14x -17

Step-by-step explanation:

Answer:

(2,6)

Step-by-step explanation:

Google

Answer:

270 students and 90 adults

Step-by-step explanation:

3a=9s  a+s=360

a=3s

(3s)+s=360

4s=360

s=90

3a=9(90)

3a=810

a=270

Answer:

g(x) = x + 3

Step-by-step explanation:

A composite function is a function that is written inside another function which means substituting one function into another function.

Ex: (fоg)(x) is a composite function, where x of f(x) is substituted by g(x)

∵ h(x) = (fоg)(x)

∵ [tex]h(x)=\sqrt{x+5}[/tex]

∵ [tex]f(x)=\sqrt{x+2}[/tex]

→ Substitute x of f(x) by g(x)

∴  (fоg)(x) = [tex]\sqrt{g(x)+2}[/tex]

→ Equate (fоg)(x) by h(x)

∴ [tex]\sqrt{g(x)+2}=\sqrt{x+5}[/tex]

→ Cancel the roots from the two sides

∴ g(x) + 2 = x + 5

→ Subtract 2 from both sides

∴ g(x) + 2 - 2 = x + 5  - 2

∴ g(x) = x + 3

Answer:

A. 0.9510

B. 0.0480

C. 0.0490

D. No, I would not feel comfortable accepting the shipment if one item was found defective, because the probability is quite small to obtain 1 or more defective items.

Answer:

0.09

Step-by-step explanation:

First off, we can write 0.9 as a fraction. Reading this, we would say "nine tenths"; this means the number in fraction form is 9/10.

The word "of" in mathematics means we multiply. Thus when we take 1/10 "of" 9/10, we multiply the two:

1/10(9/10)

To multiply fractions, multiply the numerators and multiply the denominators:

1/10(9/10) = (1*9)/(10*10) = 9/100

Converting this back to a decimal, we read 9/100 as "nine one-hundredths"; this means decimal form is 0.09.

Answer:

Step-by-step explanation:

See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:

  sin(4π/3) = -√3/2

  cos(4π/3) = -1/2

  tan(4π/3) = sin/cos = √3

  sec(4π/3) = 1/cos = -2

  csc(4π/3) = 1/sin = -(2√3)/3

  cot(4π/3) = 1/tan = (√3)/3

_____

Additional comment

It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.

Answer:g

Step-by-step explanation:

Answer:

x < -5

Step-by-step explanation:

first you do 12 - 7 which equals to 5

and then put x < becuase -12 is less than -7

Answer: >14 I think

Explanation:

Answer:

Lena's puppy has 16 more inches to grow.

Step-by-step explanation:

One foot is 12 inches. 28 - 12 = 16

Answer:

10

Step-by-step explanation:

10 times 10 equals 100

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liter, meter, and the last one is either gram or kilogram

Answer:

80 miles per hour

Step-by-step explanation:

To find her speed in miles per hour, multiply 20 by 4.

Since she drove 20 miles in 1/4 of an hour, we can find the amount she can drive in 1 full hour by multiplying it by 4.

20(4)

= 80

So, her rate in miles per hour is 80 miles per hour

Answer:

80 mph

Step-by-step explanation:

20 miles multiplied by 4(quarters of the hour) is 80mph

Answer:

Therefore, the correct option is: Its value is 1/10 the value of the underlined digit.

Note: The question is incomplete. The complete question is given below:

2. In the number shown, one digit is underlined and one digit is circled. Which statement about the circled digit is true?

Its value is 10 times greater than the value of the underlined digit.

Its value is 1/10 the value of the underlined digit.

Its value is 70 times the value of the underlined digit.

Its value is 1/70 the value of the underlined digit.

See attachment below for the number

Step-by-step explanation:

This problem is about the place value of whole numbers.

Step 1: Determining the place value of the numbers

The place value is the value of each digit in a number, be it a whole number or a decimal number.

The number shown is seventy seven thousand (77,000)

The place value of the underlined 7 is 7 ten thousands = 7 * 10000 = 70000

The place value of the circled 7 is 7 thousands = 7 * 1000 = 7000

Step 2: Comparing the numbers

Comparing the circled number and the underlined number:

7000/70000 = 1/10

Therefore, the correct option is: Its value is 1/10 the value of the underlined digit.

Answer:

The answer is 6

Step-by-step explanation:

in the picture you provided. We can clearly see that there are 4 squared and 6 circles

Answer:

2 mm

Step-by-step explanation:

let the radius of the semi-circle be r

Then,

length of curved portion = 1/2 x circumference = (1/2) (2)(π)r = πr

length of straight portion = diameter of circle = 2r

Hence, we can write an expression for the perimeter

Perimeter = length of curved portion + length of straight portion

Perimeter = πr + 2r

Perimeter = (π + 2)r

since we are given the perimeter = 5.14, assuming that π=3.14, our equation becomes:

5.14 = (3.14 + 2)r

5.14 = 5.14 r

r = 5.14 / 5.14 = 1

Hence, diameter = 2r = 2(1) = 2 mm

Answer:

what r the options........

Answer:

3

Step-by-step explanation:

Area of a square= Length*Height

9=3*3

Answer:

3

Step-by-step explanation: