14. Consider the adjacent figure (not to scale). Find the value of k using the properties of angles in parallel lines.

Answer:

The base of a right pyramid is an equilateral triangle with area 16√3 cm².  area of one of its lateral faces is 30 cm²

To find :   height (in cm) i

Solution:

The base of a right pyramid is an equilateral triangle with area 16√3 cm²

Area of an equilateral triangle = (√3 / 4) Side ²

(√3 / 4) Side ²  = 16√3

=> Side ²  = 64

=> Side = 8 cm

Distance of center of triangle to mid point of Side for Equilateral triangle = side/ 2√3     = 8/ 2√3  = 4/√3

Let say Height  = H

Slant Height =  √((4/√3)² + H²)

Area of lateral surface = (1/2) * base * Slat Height

= (1/2) * 8 * Slant height = 30

=> Slant height = 15/2

15/2   = √((4/√3)² + H²)

=> 225/4  =  16/3  + H²

=> 611/12  = H²

=> H = 7.135  cm

Step-by-step explanation:

Answer:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/graphing-proportional-relationships-example

Step-by-step explanation:

Answer:

A proportional relationship between two quantities is one in which the two quantities vary directly with one and other. If one item is doubled, the other, related item is also doubled. Because of this, it is also called a direct variation. The equations of such relationships are always in the form y = mx , and when graphed produce a line that passes through the origin. In this equation, m is the slope of the line, and it is also called the unit rate, the rate of change, or the constant of proportionality of the function.

Answer:

Step-by-step explanation:

8.12 / 2

96 / 2

= 48

Answer:

48 m²

Step-by-step explanation:

[tex]A=\frac{1}{2}bh\\=\frac{1}{2}*8*12\\=4*12\\=48[/tex]

Answer: 4700

Step-by-step explanation:

47(-20)(-5)

47(-20)

-940(-5)

Answer:

The area is 3.14 units squared.

Step-by-step explanation:

Since area for a circle is radius squared x pi, and the radius is 1 (diameter/2), and 1^2=1, then 1x3.14=3.14.

Option (D), predicts the interpretation of the slope and y-intercept of this equation is the correct answer.

A Linear Equation is an equation of a line. An equation in which the highest power of the variable is always 1. A linear equation is represented graphically by the line whose points give the collection of solutions of the equation.

For the given situation,

The graph shows the Myrons record of number of chips per minute to temperature in degrees.

Let x be the number of chirps per minute.

Let y be the crickets make at different temperatures in degree Fahrenheit.

The linear equation of  line that best fit is Y = 1/6x + 60.

The general form of equation is y = mx + c, where m is the slope and c is the y-intercept.

Here slope, [tex]m=\frac{1}{6}[/tex] and

y-intercept = [tex]60[/tex]

From the graph, the slope predicts a temperature increase of about (1/6)° for every increase of 1 chirp per minute. The y-intercept shows that when crickets are not chirping (x=0), the temperature is 50°.

Hence we can conclude that option (D), predicts the interpretation of the slope and y-intercept of this equation is the correct answer.

Learn more about linear equations here

https://brainly.com/question/19998526

#SPJ2

Answer:

Okkkk what is the riddle

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

8x+1=57 subtract 1 from each side

8x=56 divide by 8

x=7

Answer:

The answer is 12.

Answer:

Step-by-step explanation:

21: 9/15+1/4= 0.85, if you turn that into a percent it is 85%

23: 7/15+1/4 = 0.716, turned into a percent is 71.6%

i dont have the time to finish the rest rn, sorry

Answer:

B

Step-by-step explanation:

35/5 = 7 chocolate chips per cookie

15 x 7 = 105

100>105

Answer:

Approximately 8.125 km

Step-by-step explanation:

The ratio 0.62 : 1 is equal to the ratio 8.125 : 12.5

To get this answer

Answer:

4.71 in. difference

Step-by-step explanation:

so, the radius of the smaller saw is 1.25 and the diameter is double the radius. so it is 2.5 in diameter. the larger saw is 1.5 in greater which is 4 in.

to find circumference, you have to use the solution C = πd or circumference = pi x diameter.

3.14 x 2.5 = 7.85

4 x 3.14 = 12.56

subtract 7.85 from 12.56 to get your answer! i hope this helps!

Answer: B

because of the reason given. (smaller numbers are father left and larger numbers are father right on the number line).

Answer: A is the answer

Step-by-step explanation: since -9 is a negative is and 9 is positive, -9 will appear furthest to the left on a number line.

Answer:

420 ft^2

Step-by-step explanation:

12x70=840

840/2=420

Answer:

y = 26 x= 42

Step-by-step explanation:

ftt5tffr4gfgghji89iiiu7jj

Answer:

42 easy :)

Step-by-step explanation:

Step-by-step explanation:

circumference = 452.16 cm^2

here's your solution

=> Radius = 12 cm

=> circumference of circle = πr^2

=> circumference = 3.14*12*12

==> circumference = 452.16 cm^2

hope it helps

Answer:

Step-by-step explanation:

sale price = original price minus discount.

discount = original price * discount percent / 100.

let s represent the sale price.

let p represent the original price.

let d represent the discount.

let k represent the discount percent.

the above formulas become:

s = p - d

d = p * k/100

we know that s = 315.

we know that k = 30.

formulas become:

315 = p - d

d = p * 30/100

simplify these formulas to get:

315 = p - d

d = .3p

Answer:

just as you can add the same value to each side of an equation without changing the meaning of the equation, you can subtract the same value from each side of an equation.

by-step explanation:

x+7=42

Since 7 is being added to the variable, subtract 7 to isolate the variable.

To keep the equation balanced, subtract 7 from both sides of the equation.

x+7=42

-7 over x+0

-7 over 35

so answer is 35

Answer:

triangle 1: 30

triangle 2: 30

rectangle: 144

Step-by-step explanation:

triangle 1: (12*5)/2

triangle 2: (12*5)/2

rectangle: 12*12 = 144

Answer:

I couldn't tell which angle you meant, so the two missing angles are Q = 56 and S = 68

Step-by-step explanation:

Q = 180 - 124

Q = 56

56 (angle Q) + 56 (angle R) = 112

S = 180 - 112

S = 68

Answer:

26 cm

Step-by-step explanation:

c = a^2 + b^2 = 10^2 + 24^2 = 26

Answer:

26m.

Step-by-step explanation:

since the triangle has a 90° angle, it means that the triangle is a Right - angled triangle. So, we are going to use the pathagorean theorem to find the missing side.

a² + b² = c²

a and b are the two shorter and adjacent sides to the 90° angle

c is the hypotenuse

10² + 24² = c²

100 + 576 = c²

676 = c²

find the square root of 676 to get c = 26.