3. A hexagonal pyramid has the following measures:
base area = 41.5 cm2
slant height = 7cm
height = 6 cm
area of one lateral face = 14 cm?
a. Calculate the pyramid's volume. Show your work.
Include units.
b. Calculate the pyramid's surface area. Show your
work. Include units.

Answer:

a = alpha

(sin a)^2

Step-by-step explanation:

(tan a)^2=(sin a)^2/(cos a)^2

(sec a)^2 = 1/(cos a)^2

if we combine we get ((sin a)^2 * (cos a)^2)/(cos a)^2

simplafy

HOPE THIS HELPSSSS<3

Answer:

Answer:

I don't see any optional answers, but the denominator must be greater than 12.

Step-by-step explanation:

27,890*(12/X) < 27,890

Therefore (12/X) < 1

and X > 12

Answer: Trapezoid

Step-by-step explanation:

Answer:

If I am correct to work out the surface area you need to do base times height so the calculation would be...

32(base) × 30(height)

which equals 960 square inches

Please do check with someone else the answer, as I am not that confident and new

Answer:

51.1% to the nearest tenth.

Step-by-step explanation:

Increase = 5.59 - 3.70 = $1.89.

% increase = (1.89/3.70) + 100

= 51.08%

Answer:

12.058

Step-by-step explanation:

You steal one "count" from the 8, and move it to the 7 so you have 12.0587, instead of 12.0578. Then, you are able to take off the 7 from the back.

Answer:

The answer is 5^4

Step-by-step explanation:

You are given the expression 5^18 times 5^6 while all over (5^10)^2

First, let's simplify the numerator

Whenever you multiply exponents with the same base, which is 5 in this case, you have to add the exponents or powers

Keep the base the same and 18 and 6 together

So, 5¹⁸ ° 5⁶ = 5¹⁸⁺⁶ = 5²⁴

you have 5²⁴ in the numerator

now let's work on simplifying the denominator

Whenever you have number that has a power and is taken to another power, you multiply the powers

We call this the power of the power rule

So, (5¹⁰)² = 5¹⁰ˣ² = 5²⁰

Now the denominator is 5^20

We have 5^24/5^20

Now you just subtract the powers 24-20=4

And you get 5^4

Hope this helps

Answer:

2010

Step-by-step explanation:

I do not think so

Answer:

(A.

Explanation:

In A, line AD straight into BC, thus creating two 90 degree angles. This means that they are perpendicular.

(: Hope this helps

The midpoint of the coordinate pq is (-7.5, -5.5) while the distance between the two coordinate points is 5√2

The midpoint of a line is the coordinate point that divides the coordinates into two equal parts.

The formula for calculating the midpoint is expressed as:

[tex]m(x,y)=(\frac{x_1+x_1}{2} ,\frac{y_1+y_2}{2} )[/tex]

Given the coordinate points p(-10, -8) and (-5, -3).

Calculate the midpoint of pq

[tex]m(x,y)=(\frac{-10-5}{2} ,\frac{-8-3}{2} )\\m(x,y)=(\frac{-15}{2} ,\frac{-11}{2} )\\m(x,y)=(-7.5,-5.5)[/tex]

Hence the midpoint of the coordinate pq is (-7.5, -5.5)

Determine the distance pq

pq = √(-3+8)²+(-5+10)²

pq = √(5)²+(5)²

pq = √50

pq = 5√2

Hence the distance between the point pq is 5√2

Learn more on midpoint and distance here: https://brainly.com/question/17498679

Answer:

Step-by-step explanation:

51+90=141.3

180-141.3=38.7

90+38.7+51.3

So 4 and a number equal 90 degrees.

51.3 degrees are the number of 4 and c^2

We can use the Pythagorean theorem to find out that a^2 is 16

16 and b^2 will equal c^2 or the missing angle for 51.3 degrees.

a=51.3

b=90 meaning it has a 38.7 more of an angle than the 4 on the bottom.

Meaning it will be 7.02

7.02+4=11.02

Answer:

x = ±3√58

Step-by-step explanation:

Given

Solving

Answer:

[tex]x =[/tex] ± [tex]22.85[/tex]

Step-by-step explanation:

Step 1:  Multiply 12 * 36

[tex]x^2 - (12 * 36) = 90[/tex]

[tex]x^2 - 432 = 90[/tex]

Step 2:  Add 432 to both sides

[tex]x^2 - 432 + 432 = 90 + 432[/tex]

[tex]x^2 = 522[/tex]

Step 3:  Square root both sides

[tex]\sqrt{x^2} = \sqrt{522}[/tex]

[tex]x =[/tex] ± [tex]22.85[/tex]

Answer: [tex]x =[/tex] ± [tex]22.85[/tex]

Answer:

100 & 80

Step-by-step explanation:

100 appears twice...same with 80

The amount of money Adam should save now in order to accomplish his goal is $13,470.30.

In order to determine the amount Adam should save now, the present valaue of $19,000 has to be determined. Present value is the sum of discounted cash flows.

Present value = future value / (1 + interest)^time

Interest = 1.92/2 = 0.96%

Time = 18 x 2 = 36

$19,000 / (1.0096^36) = $13,470.30

To learn more about present value, please check: https://brainly.com/question/26537392

[tex]\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\ \\\\~~~~~~~=\dfrac{3}{\sqrt{3^2 +2^2}}~~~~~~~;[\text{Pythagorean theorem.}]\\\\\\~~~~~~~=\dfrac{3}{\sqrt{9+4}}\\\\\\~~~~~~~=\dfrac{3}{\sqrt{13}}[/tex]

Answer:

A. 120 ft

B. 119

C. 2100 ft

Step-by-step explanation:

A. (Slipt the shape into 2 parts so it will be simpler)

For the triangle : 1/2 (4x12)

And for the rectangle : 12x8

1/2 (4x12) = 24

12 x 8 = 96

24 + 96 = 120 ft

_________________________________

B. (this time we can split it into 3 parts)

Longer rectangle : 12x6

Short rectangle : 5x5

Triangle : 1/2 (4x11)

LR : 12x6 = 72

SR : 25

T : 1/2 44 = 22

72+25+22 = 119

______________________________________

C. (Like the first one, we can split it into 2 parts)

Rectangle : 50x30

Triangle : 1/2 40x30

R : 1500

T : 1/2 1200 = 600

1500 + 600 = 2100

Hope this helps :)

Answer:

Convert these ratios into fractions and then into their actual values.

(This is just one way of solving this, there are other plentiful ways you could use to solve this.)

2 : 9

Will become

2/9

Which will result in

0.222...

3 : 18

Will become

3/18

Which will result in

0.1666...

1 : 3

Will become

1/3

Which will result in

0.333...

Now, compare these numbers:-

0.222..., 0.1666..., and 0.333...

And out of these three numbers, 0.333... is by far the greatest number out of all of these ratios.

Therefore, the ratio 1:3 is the largest ratio.

Answer:

HEY BABE SO, THE ANSWER IS $19.99

Step-by-step explanation:

if you devide 67 and 78  you get 19.99!!!!11

Answer:

604800 different ways to order the program

Step-by-step explanation:

using the formula for permutation, not combination because the order of the records matter

n!/(n-r)!

n is the total number of choices (10)

r is the number that is chosen from the total number (7)

Replace a and b with their values:

2(9) -4 = 18-4 = 14

answer: 14

Answer:

14

Step-by-step explanation:

2a - b

substitute the variables

2 × 9 - 4

18 - 4

14

Answer:

A- 900 degrees

B- 1800 degrees

C- 540 degrees

The sum of the interior angles of a heptagon is 900 degrees. The interior angles of a dodecagon add up to 1800. The interior angles of a pentagon add up to 540.

Answer:

A = 189 sq units

Step-by-step explanation:

You can cut the shape up into pieces. See image. There are two rectangles and a triangle. Some sides are given:

rectangle: 16 × 8

sm rectangle: 3 × 4

Some sides you have to add to find (the height of the whole entire thing: 16+4+4)

Some lengths you have to subtract to find (height of the triangle: 24 - 10).

Area of a rectangle:

length × width OR

base × height

Area of a triangle:

1/2 • b • h

Add up all three areas. See image.

Answer:

12x3-9x

=3-12x9x

=3-21x

=21x-3

Answer:

a= 30
b= 60 (pretty sure)
c=105

Step-by-step explanation:

a is a vertical angle to 30, so that means it is also equal to 30.

To find b, since it's on a straight line, you can add up the angles in the triangle and solve for b.

30+90=120

120+b=180

b=60

To find c, you subtract 75 from 180 since it's also a straight line equal to 180 degrees.

Answer:

I'm a little confused by this question:

Lines and things that are linear are relatively boring in mathematics. What if my function f(x) = g'(x). I’m going to ask the same question in a different way.

What is an approximate value of g'(1.1)?

So I know L(x)=f(a)+f′(a)(x−a)

If I substitute items in, I get g′(x)+g′′(x)(x−x).

Since x−x=0 I always am going to end up with L(x)=g′(x)

I don't think this can be the right answer since I know the whole point is to use the 2nd derivative, but if you get 0 for (x−a), then the whole part ends up being 0. What am I missing here?

I'm completely lost here because these are the followup question after the one above:

Now things are interesting. Suppose g(1) = 0 and g'(1) = 1.

Use linear approximation to approximate the value of g(1.1). The answer to #2 and #3 gives us a slope of a tangent line and a value of a function, which we can use.

Use your previous answers to approximate the value of g(1.2). Somehow, this second derivative has caused an adjustment to our approximation.

What did using the second derivative do to the approximation?

Do you believe the approximation is better or worse than our original?

Step-by-step explanation: