A square pyramid has a base with a side length of 6 inches and lateral faces with heights of 11 inches. What is the surface area of the pyramid?

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf 168\ in.\²}[/tex]

Step-by-step explanation:

Surface area of the base:

= Length * Length

= 6 * 6

= 36 in.²

Surface Area of 1 Lateral Face:

= [tex]\sf \frac{1}{2} (Base * Height)[/tex]

Base = 6 inches

Height = 11 inches

= 1/2 (6*11)

= 3 * 11

= 33 in.²

Surface Area of 4 lateral faces:

= 33 * 4

= 132 in.²

Surface Area of the whole pyramid:

= 132 + 36

= 168 in.²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807
Answer 2

Answer:

SA = 168 in.²

Step-by-step explanation:

The surface area is the sum of the area of the base and the areas of the 4 congruent triangular sides.

s = side of the base

h = height of each side

SA = s² + 4(sh/2)

SA = (6 in.)² + 4(6 in.)(11 in.)/2

SA = 36 in.² + 132 in.²

SA = 168 in.²


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Answers

Answer:

No

Step-by-step explanation:

In order for the shapes to be congruent, corresponding parts must be congruent.  The corresponding angles are NOT congruent, so the shapes are not congruent.

Evaluate the expression: 8 ⋅ (1/2)^2

Answers

Answer:

8 × (1/2)²

8 × 0.25

2 Answer!

Hope this helps, thank you :) !!

Answer:

Step-by-step explanation:

The answer is : 2

Simplify

I added image with explation! Hope this helps!

What is the equation of the line in slope intercept form?

Answers

Answer:

y=x-4

Step-by-step explanation:

Helpppp PLZ 20 POINTS!!!!! More then one answer

Answers

Answer:

The first and last one!!

Step-by-step explanation:

Was it correct?? Hope this helps!!(¬_¬ )

Answer

2(2m + 6) .

Hope it helps.

Which of the following is a solution to the inequality below?

5 < q/19

Answers

Answer:

q = 114

Step-by-step explanation:

q/19 > 5

q > 19 * 5 = 95

==> q = 114 works

Answer:

rrerer

Step-by-step explanation:erewqwdqwdqd noo hlp me

The angle measurements in the diagram are represented by the following expressions
Helpp

Answers

Answer:

5x-15 = 2x+21

x=12

Step-by-step explanation:

Vertical and Corresponding Angles can be used to prove so.

Consider the factored form equation of parabola y = 2(x - 3) * (x + 1)

Answers

Answer:

a= x= 3, -1

b= x=1

c= (1, -8)

Step-by-by-step explanation:

For the show your work, you have to create the graph of the parabola. (attached image)

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equation need multiplied by before adding the equations together?

Answers

A. Multiplied by 2 for the first then for the second multiply by three.

Explanation: the equations already have opposite signs for y so reversing the signs would be counterproductive. (Eliminates B and D) and the easiest way is to get the numbers before the Y variable to be the same. The top by 2 and bottom by 3 would do that, leaving only A.

A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.
Create a system of equations or inequalities that models the situation.
Define the variables you use.

Answers

Answer:

10/20

Step-by-step explanation:

$15 for 10 hours and $20 for 10 hours

Will give you points and BRAINLY

Answers

Step-by-step explanation:

[tex]f(\pi) = - 3 \\ f( \frac{\pi}{2} ) = 0 \\ f( - \frac{3\pi}{2} ) = 0 \\ \: \: = 3 \cos(theta) [/tex]

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. y2=x,x=2yy 2 =x,x=2y; about the y-axis

Answers

Answer:

Step-by-step explanation:

From the first image attached below, we will see the sketch of the curve x = y² & x = 2y

In the picture connected underneath, the concealed locale(shaded region) is bounded by the given curves. Now, we discover the marks of the crossing point of the curves. These curves will cross, when:

[tex]y^2 =2 y \\ \\ or y^2 -2y = 0 \\ \\ y(y-2) = 0 \\ \\ y = 0 \ \ or \ \ y = 2[/tex]

Thus, the shaded region fall within the interval 0 ≤ y ≤ 2

Now, from the subsequent picture appended we sketch the solid acquired by turning the concealed region about the y-axis.

For the cross-sectional area of the washer:

[tex]A (y) = \pi (outer \ radius)^2 - \pi ( inner \ radius )^2 \\ \\ A(y) = \pi (2y^)2- \pi (y^)^2 \\ \\ A(y) = 4 \pi y^2 - \pi y^4 \\ \\ A(y) = \pi( 4 y^2 -y^4)[/tex]

Finally, the volume of (solid) is:

[tex]V = \int^2_0 A(y) \ dy \\ \\ V = \int^2_0 \pi (4y^2 -y^4) \ dy \\ \\ V = \pi \int^2_0 (4y^2 -y^4) \ dy \\ \\ V = \pi \Big[\dfrac{4}{3}y^3 - \dfrac{y^5}{5} \big ] ^2_0 \\ \\ V = \pi \Big [ \dfrac{4}{3}(2)^3-\dfrac{2^3}{5} \Big ] \\ \\ V = \dfrac{64}{15}\pi \\ \\ V = (4.27 ) \pi[/tex]

Find the slope of line with the given points (6, - 4)(1, 5)

Answers

Answer:

-9/5 is the slope

Step-by-step explanation:

5-(-4)=9

1-6=-5

2y^3-18y^2+9y-81
Factor the polynomial completely

Answers

Answer:

(y-9)(2y^2 +9)

The height of a pelican as it swoops down to catch a fish in the lake is modeled by this equation, where x represents the time, In seconds, and y represents the height of the pelican, In feet.​

Answers

Answer:

Option A : The system has two solutions, and both are viable because they result in positive values of time.

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

The system has two solutions, and both are viable because they result in positive values of time.

write an integer for each

1- a deposit for $40
2- a loss of 25 pounds

please this assignment locks soon and it’s already over due,

Answers

Answer:

1. 40

2. -25

Step-by-step explanation:

I'm sure this is the answer

Lilya bought 3 donuts for $2.97. At this rate, how much would 10 donuts cost?

Answers

29.70 because you multiply 10 x 297 and you get 2970 just input your decimal which is 29.70

Answer:

$9.90

Step-by-step explanation:

$2.97 divided by 3 equal 0.99 cents

0.99 multiplied by 10 equal 9.90

How would you figure out how many samples of cookie dough can be given
out?
At the Fairview mall, a worker at an edible cookie dough store has
3 cups of cookie dough to give to customers for samples. The
worker places 1 cups of cookie dough in each sample. How many
samples can the worker give out if all the cookie dough is used?

Answers

Well, if they only have 3 cups total, and 1 cup is given to each customer, they can only give out 3 samples.

3 divided by 1 = 3

Help with algebra 2 i dont know how to do this

Answers

Answer:

I cannot see the question clearly. But I know how to do .

Are 12/102 and 18/153 equivalent ratios?

Answers

Answer:

there are 2 ways:

[tex]\frac{12}{102}[/tex] ?= [tex]\frac{18}{153}[/tex]

1) try to simplify

[tex]\frac{12}{102}[/tex] (divide the numerator and denominator by 6) ?= [tex]\frac{18}{153}[/tex] (divide the numerator and denominator by 9)

2/17 = 2/17 so yes they are equivalent

2) use cross products

102x18 ?= 12x153

 1836 = 1836 so yes they are equivalent

   

Can you help me please

Answers

270 miles. 10 x 3 is 30, x9 is 270

Answer:

270

Step-by-step explanation:

bc if he does 9 miles for 3 days every week thats already 27 miles. for 10 weeks that would be 270 bc 10*27 is 270.

What is the domain and range of f(x)=2/7x-2

Answers

Answer:

the domain and range are all real numbers

Step-by-step explanation:

Answer:

x= 7y+14  /2

y= 2/ 7 x−2

Step-by-step explanation:

y-2=-5(x-2) slope intercept form

Answers

Answer:

y = -5x + 12

Step-by-step explanation:

slope intercept form is where you simplify it and get the y by itself, so:

[tex]y-2 = -5(x-2)\\y-2 = -5x+10\\y = -5x+ 12[/tex]

P(8,-3) T(x,y) = (x-4, y+7)
P'(?,?)

Answers

Answer:

P'(4,4)

Step-by-step explanation:

P(8,-3) T(x,y) = (x-4, y+7)

P'(8-4,-3+7)=P'(4,4)

18 less than the quotient of a number and -5 is no less than 31

Answers

Answer:

1

Hope this helps!!!!

1 is the answer I think

Can someone please help I forgot how to do this.

Answers

Answer:

5²+1×2 - 4(4) = 11

Step-by-step explanation:

up top when it says a = 4

and b = 5 that's means b and a are those numbers.

then while 4 is touching a that means to multiply. And the 2 up top of b means 5×5, then do order of operations to find the answer. If you dont you'll get it WRONG.

Order of operations is this

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Can someone help me ?!

Answers

Answer:

95

Step-by-step explanation:

3x + x = 380

4x = 380

x= 95

proof

3*95 = 285

Your share of 285 plus that of your friend shares of 95 will give you the total shares of 380

6. 1, 8, 5, 4, 1, 8, 5, 4
Mean
Median
Mode

Answers

Answer:

Mean 16.75

Median  15.5

Mode 13

Step-by-step explanation:

This is what I got .____.

Can somebody help and show work

Answers

Answer:

( x +1 ) ( x + 3 )

If you know the diameter of a given circle is 12, what is the area of the circle?

Answers

Answer:

The area is 113.1

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

Is (1,-4) solution of the graphed inequality ?

Answers

Answer:

Yes.

Step-by-step explanation:

The answer is yes it is
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