Find the surface area of the regular pyramid.

Find The Surface Area Of The Regular Pyramid.

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Base perimeter = side x 5 = 4 x 5 = 20 in

LA = (base perimeter x slant height)/2 = (20 x 8)/2 = 80 in^2

SA = base area + LA = 27.5 + 80 = 107.5 in^2


Related Questions

Find the volume of the given prism.

A) 6,336
B) 3,568
C) 1,784
D) 1,920

Answers

Answer:

[tex]\text{D. }1,920}\:\mathrm{in^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]A=l\cdot w\cdot h[/tex], where [tex]l[/tex] is the length of the prism, [tex]w[/tex] is width, and [tex]h[/tex] is height.

Therefore, the area of the given prism is equal to [tex]8\cdot 12 \cdot 20=\boxed{\text{D. }1,920\:\mathrm{in^3}}[/tex].

Kate lanes a letter against her house to get to the roof. The house is 25 feet tall and I put a ladder is 15 feet away from the side of the house. What is the angle that the latter makes with the ground?

Answers

Answer:

this is the correct answer

PLEASE HELP ME!!!

WILL BE WORTH 10 POINTS!!!

I WILL MARK BRAINLIEST!!!


Please answer the 3 questions on the picture.

I would appreciate it so much!

Answers

1) 3x=(4x+50-30)/2
x=10

Explanation: (1/2)(big arc - small arc), plug in the numbers and solve

2) 15•x=33•10
x=22

Explanation: a•b=c•d, plug in the numbers and solve

3) (x+8)•8=(24+4)•4
x=6

Explanation: W•E=W•E, whole•external part= whole•external, plug in the numbers and solve

Pls help school is almost over

Answers

Answer:

correct answer is c

Step-by-step explanation:

2.44x10^-3

A student needs 12 minutes to solve an algebra problem how many minutes does the student need to solve 6 problems

Answers

Answer:

72

Step-by-step explanation:

12 * 6 = 72

of course, IRL not every problem takes the same amount of time

Answer: if they are all algebra questions then 72

Step-by-step explanation:

12 + 12 + 12 + 12 + 12 + 12= 70

In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 3, EB = 4, CE = x, and ED = x + 1, find. CE.

Answers

Answer:

CE = 3

Step-by-step explanation:

Given:

AE = 3

EB = 4

CE = x

ED = x + 1

Required:

CE

Solution:

First we need to determine the value of x by generating am equation as follows:

CE × ED = AE × EB (Interacting Chords Theorem)

Substitute

x × (x + 1) = 3 × 4

x² + x = 12

Subtract 12 from each side

x² + x - 12 = 12 - 12

x² + x - 12 = 0

Factorize to find the value of x

x² + 4x - 3x - 12 = 0

x(x + 4) -3(x + 4) = 0

(x - 3)(x + 4) = 0

x - 3 = 0

x = 3

Or

x + 4 = 0

x = -4

Let's use the positive value of x

CE = x = 3

QueSLUIT Consider the universal set U of all the integers from 2 to 20, including both 2 and 20. Let B be the set of multiples of 2, not counting 2 itself. Find Bº. Write your answer in standard set notation, for example {1,2,3,4,5). Do not use the notation B° = in the answer​

Answers

Step-by-step explanation:

{2,3,5,7,9,11,13,15,17,19}

a rectangular room is 15ft long, 14ft wide and 8.0ft high. what is the length of the longest diagonal from one corner to another of the room​

Answers

Answer:

20.51ft

Step-by-step explanation:

Given data

Length= 15ft

Width= 14ft

Height= 8ft

Because we want to find the diagonal, let us use the Length and the width

We can get the diagonal by applying the Pythagoras theorem

z^2= x^2+y^2

z^2= 15^2+ 14^2

z^2= 225+ 196

z^2= 421

square both sides

z= √421

z=20.51 ft

Hence the diagonal is 20.51ft

a phone company uses the expression 1.25 + 0.10m to calculate the cost of a phone call that lasts m minutes. what is the cost of a call that lasts 20 minutes?

Answers

Answer:

[tex]f(20) =3.25[/tex]

Step-by-step explanation:

Given

[tex]f(m) = 1.25 + 0.10m[/tex]

Required

[tex]f(20)[/tex]

We have: [tex]f(m) = 1.25 + 0.10m[/tex]

Substutute 20 for m

[tex]f(20) =1.25 + 0.10*20[/tex]

[tex]f(20) =1.25 + 2[/tex]

[tex]f(20) =3.25[/tex]

In the accompanying diagram of circle o, chords AB and CD
intersect at E. If AE = 3, EB = 4, CE = x, and ED = x +1,
find CE

Answers

Answer:

x = 3

Step-by-step explanation:

Given :

AE = 3, EB = 4, CE = x, and ED = x +1,

Equating chord AB and CD

AE*EB = CE*ED

3*4 = x*(x+1)

12 = x² + x

x² + x - 12 = 0

x² +4x - 3x - 12 = 0

x(x + 4) - 3(x + 4)

(x + 4) = 0 or (x - 3) = 0

x = - 4 or x = 3

Distance can't be negative :

x = 3

estimate the quotient for the following problems. 482 ÷ 5 ​

Answers

Answer:

100

Step-by-step explanation:

482 ÷ 5 = 96.4

96.4 -> 100

Hope this helps! Brainliest?

Answer:

Quotient: 96

Step-by-step explanation:

482/5= 96R2

Quotient: 96

Remainder: 2

A drone is originally priced at 110$. The online retailer gives a discount and the drone is now $88 . enter the percentage discount for the cost of the drone.

Answers

Answer:

20%

Step-by-step explanation:

Decrease in amount = original - new amount

Decrease in amount = 110 - 88 = $22

Decrease % = decrease/original x 100%

= 22/110 x 100%

= 20%

x−9≥−12 Express your answer as an inequality.

Answers

Answer:

x ≥ −3

Step-by-step explanation:

Step One : Add 9 to both sides.

x − 9 + 9 ≥ −12 + 9

x ≥ −3

There is no more to be done, that is our answer. x ≥ −3.

Hope this helps, please mark brainliest! :)

A parallelogram is shown below: A B A 2 foot D с 3 feet Part A: What is the area of the parallelogram? Show your work. (5 points) Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)​

Answers

9514 1404 393

Answer:

  Part A: 2 ft²

  Part B: draw a diagonal (AC, for example); 1 ft²

Step-by-step explanation:

Part A:

The area of a parallelogram is given by the formula ...

  A = bh

where 'b' is the length of the base, and 'h' is the perpendicular distance between the bases.

Using the numbers shown on the diagram, the area is ...

  A = (3 ft)(2/3 ft) = 3·2/3 ft²

  A = 2 ft² . . . . . area of the parallelogram

__

Part B:

Typically, a polygon is partitioned into triangles by drawing diagonals from one of the vertices. It does not matter which one. (In a quadrilateral, only one diagonal can be drawn from any given vertex.) Here, the "base" of each triangle is the same as the base of the parallelogram: 3 feet. The "height" of each triangle is the same as the height of the parallelogram: 2/3 ft.

The area of a triangle is given by the formula ...

  A = 1/2bh

  A = 1/2(3 ft)(2/3 ft) = (1/2)(3)(2/3) ft²

  A = 1 ft² . . . . . . . . area of each triangle

_____

Additional comment

It should be no surprise that the area of each of the two congruent triangles is 1/2 the area of the parallelogram.

x^2+2x+7=21 the approximate value of the greatest solutoon to the equation, rounded to the nearest hundreth​

Answers

9514 1404 393

Answer:

  x ≈ 2.87

Step-by-step explanation:

We  can subtract 6 to put the equation into a form easily solved.

  x^2 +2x +1 = 15

  (x +1)^2 = 15

  x +1 = √15 . . . . . for the greatest solution, we only need the positive root

  x = √15 -1 ≈ 2.87

AB = 6 cm, AC = 12 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
12 cm
55°
6 cm

Answers

Answer:

12.7 cm

Step-by-step explanation:

We can obtain CB using Pythagoras :

CB = √12² - 6²

CB = √108

CB = 10.39

Using CB,

We can apply trigonometry on triangle BCD to obtain the length of CD

Sin θ = opposite / hypotenus

Sin 55 = CB / CD

Sin 55 = 10.39 / CD

CD = 10.39 / sin 55

CD = 12.68

CD = 12.7 cm

QUESTION 14 · 1 POINT
Translate the English phrase into an algebraic expression: 6x less than 81xsquared

Answers

Answer:

Step-by-step explanation:

81x² - 6x

Answer:

81x² - 6x

Step-by-step explanation:

81x² - 6x

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
5
60°
10
x
Not drawn to scale

Answers

Answer:

D

5 sq.rt. 3

Step-by-step explanation:

use the pythagorean theorem: a^2 + b^2 =c^2

5^2 + x^2 = 10^2

25+ x^2 =100

x^2 = 100 - 25

x^2 =75

x = [tex]\sqrt{75}[/tex]

x = 5 [tex]\sqrt{3}[/tex]

help please anyone ??

Answers

It’s the second one trust
The second one is correct I guess

what is 2,799.89 x 4,984.76
!please answer i want to know!

Answers

Answer:

13,956,779.6764

Answer:

13956 779.7 (•‿•) this is my ans.

Which graph shows Point Pin Quadrant II and Point Q as (3,-4)

Answers

Answer:

p would be up top on the negative side (left)

q would be at the bottom on the positive side (right)

Find the Laplace Transform of the following function.

f(t) = 10 cos (12t+ 60°) u(t)

Answers

Answer:

L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]

Step-by-step explanation:

f ( t ) = 10 cos ( 12t + 60°) u(t)

attached below is a detailed solution of the given problem

L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]

Cual es la ecuación de la recta dado su pendiente m=2 y p(2,3)

Answers

Answer:

y=2x-1

Step-by-step explanation:

La ecuación es:

y = 2x -1 .

The Isosceles Trapezoid is part of an Isosceles triange with a 32° vertex angle. What is the measure of an acute base angle of the trapezoid?​

Answers

Answer:

[tex]b = 74^o[/tex] --- acute base

Step-by-step explanation:

Given

See attachment for the figure

Required

The acute base angle of the trapezoid

From the question, the isosceles triangle and the trapezoid share the same base.

Represent the base angle with b.

So:

[tex]b + b + 32^o = 180^o[/tex] --- angles in a triangle

[tex]2b = 180^o-32^o[/tex]

[tex]2b = 148^o[/tex]

Divide by 2

[tex]b = 74^o[/tex]

Find the value of x. Leave your answer in simplest radical form.

Answers

I can’t type the root

What is an equation for the line that passes through the coordinates (2, 0) and (0, 3)?

Answers

Answer:
Not sure if this is correct but I hope this helps :)

Please solve for angle C

Answers

Answer:

29

Step-by-step explanation:

tan c = opposite / adjacent

c = tan -1 (25/45) = 29

Answer:

Step-by-step explanation:

tan C = opp/adj

sin C = 25/45

sin C = 0.5556

C = sin^-1 0.5556

= 33.75

Does this a graph show a function? Explain how you
know.
O A. Yes; there are no y values that have more than one x-value.
O B. No; there are y-values that have more than one x-value.
O C. Yes; the graph passes the vertical line test.
O D. No; the graph fails the vertical line test.

Answers

Answer:

D. No; the graph fails the vertical line test.

Step-by-step explanation:

If any vertical line intersects a graph more than once it is NOT a function

What is the area of the triangle ?

A) 64
B) 56
C) 48
D) 112

Answers

Answer:

[tex]\text{B) }56\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The area of a triangle with height [tex]h[/tex] and base [tex]b[/tex] is given by [tex]A=\frac{1}{2}bh[/tex]. By definition, the base and the height must intersect at a 90 degree angle. Therefore, the diagram gives a base of 14 cm and a height of 8 cm. Substituting these values, we get:

[tex]A=\frac{1}{2}\cdot 8\cdot 14=\boxed{\text{B) }56\:\mathrm{cm^2}}[/tex]

lim x->1+( sin(1-x)-(e^(x-1))+1)/ lnx

Answers

We're given the one-sided limit,

[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}[/tex]

Evaluating the limand directly at x = 1 gives the indeterminate from

(sin(1 - 1) - exp(1 - 1) + 1) / ln(1) = 0/0

so we can potentially solve the limit by applying L'Hopital's rule. Doing so gives

[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}=\lim_{x\to1^+}\frac{-\cos(1-x)-e^{x-1}}{\frac1x}=\frac{-\cos(0)-e^0}{\frac11}=\boxed{-2}[/tex]

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