Part A (1 point)
Determine the area, in square feet, of one triangular
face of the square pyramid. Show your work or
explain your answer.
Part B (1 point)
Determine the total surface area, in square feet, of the
square pyramid. Show your work or explain your
answer

Using the Pythagorean theorem,

[tex]6^{2}+y^{2}=(3+9)^{2}\\\\36+y^2=144\\\\y^2=108\\\\y=\boxed{6\sqrt{3}}[/tex]

Answer:

second 1

Step-by-step explanation:

i literally just had that question

Answer:

The quadratic function represented by the graph is [tex]y = x^{2}-6\cdot x + 8[/tex].

Step-by-step explanation:

Parabolae are defined by second order polynomials, that is, a polynomial of the form:

[tex]y = a\cdot x^{2} + b\cdot x + c[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a, b, c[/tex] - Coefficients.

By Algebra, we know can calculate the set of all coefficients based on the knowledge of three distinct points. According to the graph, we have the following points: [tex](x_{1}, y_{1}) = (2, 0)[/tex], [tex](x_{2}, y_{2}) = (4, 0)[/tex] and [tex](x_{3}, y_{3}) = (6, 8)[/tex], and the resulting system of linear equations is:

[tex]4\cdot a + 2\cdot b + c = 0[/tex] (2)

[tex]16\cdot a + 4\cdot b + c = 0[/tex] (3)

[tex]36\cdot a + 6\cdot b + c = 8[/tex] (4)

The solution of the system of linear equations is:

[tex]a = 1, b = -6, c = 8[/tex]

Hence, the quadratic function represented by the graph is [tex]y = x^{2}-6\cdot x + 8[/tex].

Using the Empirical Rule, it is found that the critical value for a 68% confidence interval is given by:

A. 1.

It states that, for a normally distributed random variable:

In this problem, we want the 68% confidence interval, hence Zcl = 1 and option A is correct.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

#SPJ1

Answer:

1

Step-by-step explanation:

1

9514 1404 393

Answer:

  8

Step-by-step explanation:

The number of servings can be found by dividing the quantity available by the amount per serving.

  (6 cups)/(3/4 cup/serving) = (6)(4/3) servings = 8 servings

Answer:

n=3.5, n=0

Step-by-step explanation:

Open the parenthesis

2n(-4n)-7(-4n)=0

-8n^2+28n=0

Factor:

n(-8n+28)=0

Solve:

n=0, or -8n+28=0

-8n=-28

8n=28

n=28/8

n=3.5

n can be either 3.5 or 0

Answer:

0, 7/2

Step-by-step explanation:

See image below:)

Answer:

Marmik = 800; Sujata = 600; Kapil = 400

Step-by-step explanation:

Given

Let

[tex]M \to Marmik[/tex]

[tex]S \to Sujata[/tex]

[tex]K \to Kapil[/tex]

Given

[tex]M:S:K = \frac{1}{3}:\frac{1}{4}:\frac{1}{6}[/tex]

[tex]Amount = 1800[/tex]

Required

Divide

We have:

[tex]M:S:K = \frac{1}{3}:\frac{1}{4}:\frac{1}{6}[/tex]

Multiply the ratio by 12 (to convert them to whole numbers)

[tex]M:S:K = 12 *\frac{1}{3}:12*\frac{1}{4}:12*\frac{1}{6}[/tex]

[tex]M:S:K = 4 : 3 : 2[/tex]

The total ratio is:

[tex]Total = 4 + 3 + 2 = 9[/tex]

So, the amount each collected is:

[tex]Marmik = \frac{M}{Total} * Amount[/tex]

[tex]Marmik = \frac{4}{9} *1800 = 800[/tex]

Using the same formula for others, we have:

[tex]Sujata = \frac{3}{9} *1800 = 600[/tex]

[tex]Kapil = \frac{2}{9} *1800 = 400[/tex]

9514 1404 393

Answer:

  D.  5

Step-by-step explanation:

The distance formula is good for finding the distance between two points.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -0)² +(0 -(-3))²) = √(16 +9) = √25

  d = 5

The distance between the points is 5 units.

_____

You may notice that the line between the points makes a 3-4-5 right triangle with the coordinate axes.

Answer:

Area of the bookmark = 52.56 cm²

Step-by-step explanation:

The two semicircles attached at both end of the rectangle will give us a full circle.

Therefore,

Area of the bookmark = area of rectangle + Area of a circle

Area of the bookmark = L × W + πr²

Length (L) = 10 cm

Width (W) = 4 cm

radius (r) = ½(4) = 2 cm

π = 3.14

Plug in the values into the equation

Area of bookmark = 10 × 4 + 3.14 × 2²

= 40 + 12.56

= 52.56 cm²

Answer:

15 white shirts and 11 yellow shirts were sold.

Step-by-step explanation:

15 × 10.95=164.25

11 × 11.50=126.5

126.5+164.24=290.75

What pattern? Include the pattern please. Thank you.

Words used to describe patterns and arrangements - thesaurus

broken. adjective. a broken pattern or sound has

spaces in it.

Hope my answer helps uh ✌️

Answer:

the answer is

[tex]3 - \frac{1}{2}n [/tex]

The solution is:

The figure has 4 lines of symmetry.

- A vertical line through the middle of the figure.

- A horizontal line through the middle of the figure.

- The two diagonals through the figure are lines of symmetry too.

In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.

here, we have,

Explanation

Lines of symmetry refer to lines that can be drawn on figures and the figure on either sides of the line will be mirror images of each other.

For example, for this figure given, if a vertical line is drawn straight through the middle of the figure, the two resulting figures on either sides of the vertical line will be mirror images of each other.

So, the other lines of symmetry for this include

- A horizontal line through the middle of the figure

- The two diagonals through the figure are lines of symmetry too.

To learn more on line of symmetry click:

https://brainly.com/question/29157578

#SPJ3

Answer:

ans is 0

Step-by-step explanation:

69 + 420 ÷ 0

489 ÷ 0

0

Answer:

Undefined

Step-by-step explanation:

When you try to divide by 0, your calculator will yield an error because any number (including zero) divided by zero is undefined.

You can think of it like this: if you divide any number by zero, how many times does zero go into that number? An undefined amount of times. If you had zero divided by zero, you'd still run into the issue that any number works:[tex]k\cdot 0=0, k\in \mathbb{R}[/tex]. Because [tex]k[/tex] can be any real number, it is still undefined.

There is an argument for infinity because for function  [tex]f(x)=\frac{k}{x}, k\in \mathbb{R}[/tex], as [tex]x[/tex] approaches 0, [tex]f(x)[/tex] approaches infinity:

[tex]\lim_{x\rightarrow 0}f(x)=\infty[/tex]

However, infinity is not a number and should not be treated as such. Undefined is a more precise answer.

243 = the pages read on Saturday

243 - 53 = 190 = the pages read on Sunday

190 + 243 =  433 = total pages read

Answer = 433

Answer:

The speed is 60 mph.

Step-by-step explanation:

distance = 42 miles

Let he drove with speed v and time is t.

distance = speed x time

42 = v t ..... (1)

42 = (v + 10)(t - 1/10) ..... (2)

[tex]42 = 42 -\frac{v}{10}+ 10 t - 1\\\\t =\frac{10+v}{100}\\\\Put in (1)\\\\42 = \frac{v(10+v)}{100}\\\\v^2 + 10 v - 4200 = 0 \\\\v = \frac{-10\pm \sqrt{100+4\times 4200}}{2}\\\\v =\frac{- 10 \pm 130}{2}\\\\v =- 70 mph, 60mph[/tex]

So, the speed cannot be negative so the speed is 60 mph.

Answer:

y=3x-2

Step-by-step explanation:

y = mx + b

m = slope

b=yint

y=3(slope)x+ -2(y int)

Answer:

times up the outside bc we know the outside is the area

Step-by-step explanation:

22p-7

Step-by-step explanation:

We need to find a midpoint. A midpoint splits the two end coordinates to meet at a point.

Use midpoint formula

[tex] \frac{ - 2 + 10}{2} = 4[/tex]

[tex] \frac{ - 11 + 1}{2} = - 5[/tex]

So the coordinates will be at

(4,-5)

Answer:

-30+10b=-22

32-22=10b

10b=10

-32+10=-22

hope it helps

Answer:

30ml of yellow

18ml of red

Step-by-step explanation:

5x6=30

3×6=18

Answer:

Step-by-step explanation:

a color

Answer:

i dont get it either

Step-by-step explanation:

Answer:

y = 1/4x - 4

Step-by-step explanation:

The slope is four points behind the origin, so we subtract -4 from the equation:

y = 1/4x - 4

use two points on the line to find the slope:

(0,-4) (4,2)

Slope = change in y over change in x

Slope = (2 - -4) / (4-0) = 6/4 = 3/2

Y-intercept is the y value when x is 0, the line goes through y=2 at x = 0, so the t intercept is 2

The equation is:

Y = 3/2x + 2

Answer:

0.88 is the correct answer

Answer:

2

Step-by-step explanation:

Given the nth term equation:

C(n) = - 6(-1/3)^(n-1)

The 2nd term :

C(2) = - 6(-1/3)^(2-1)

C(2) = - 6(-1/3)^1

C(2) = - 6(-1/3)

C(2) = - 6 * - 1/3

C(2) = 2