1. Find the slant height of a square pyramid with a surface area of 57 square feet and a base perimeter of 12 feet

Answers

Answer 1

Answer:

Slant height = 8 feet.

Step-by-step explanation:

If the perimeter of the square base = 12 then each side of the base = 12/4

= 3  feet and its area = 3*3 = 9 ft^2

The area of one of the triangular sides = 1/2 * 3 * h where h is slant height.

So total surface area = 57 = 9 + 4 * 1.5h

9 + 6h = 57

6h = 48

h = 8 feet.


Related Questions

I need the answer ASAP !!! Pls

Answers

Given:

The diagram of two right triangles.

To find:

The value of d and a.

Solution:

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

(a) In first triangle,

[tex]\tan 60^\circ=\dfrac{d}{4}[/tex]

[tex]\sqrt{3}=\dfrac{d}{4}[/tex]

[tex]4\sqrt{3}=d[/tex]

Therefore, [tex]d=4\sqrt{3}[/tex].

(b) In second triangle,

[tex]\sin 45^\circ=\dfrac{a}{2}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{a}{2}[/tex]

[tex]\dfrac{2}{\sqrt{2}}=a[/tex]

[tex]\sqrt{2}=a[/tex]

Therefore, [tex]a=\sqrt{2}[/tex].

The spinner shown below will be used to play a game. If the pointer on the spinner is spun 120 times, how many times would you expect the pointer to stop on a color other than red?

Answers

Answer:

90?

Step-by-step explanation:

im assuming it is a 4 color spinner, so I think it would be about 90 times

what is the square rot of 169?

Answers

Answer:

13

Step-by-step explanation:

used a calculator

PLEASE HELP 1!1!1!1!
Blach Middle School is painting a circle on their playground with a radius of 2
feet. What will be the total area of the circle, in square feet?
Use it = 3.14, and round your answer to the nearest hundredth.

Answers

answer choices before i start answering
The answer is 12.57 I think

I WILL MARK BRAINLST

Answers

Answer:

neither a function or a relation

Step-by-step explanation:

The graph does not pass the vertical line test, thus not a function.

In the graph, x-coordinates are not related to y-coordinates through a relation, thus not a relation.

determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. x+y=5 2x-y=-3

Answers

Answer:

(2/3, 13/3)    (Exactly one solution)

Step-by-step explanation:

Write these equations in a column:

 x+y=5

2x-y=-3

Note that we can eliminate y immediately by adding these two equations together. We get:

3x = 2, so that x = 2/3.

Substituting 2/3 for x in the first equation, we get:

2/3 + y = 5.  Clear out fractions by multiplying all three terms by 3:

2 + 3y = 15, or 3y = 13.  Then y = 13/3, and the solution is

(2/3, 13/3)      There is exactly one solution.

Answer:

Hi! The answer to your question is One Solution.

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

- A cereal manufacturer needs to change the
size of its cereal box to fit on narrower
shelves. The dimensions of the current box
are 12 inches high by 9 inches wide by 2
inches deep. The new box will have the
same height and volume, but the width will
be reduced by 1 inch. What will be the
depth, to the nearest hundredth of an inch, of
the new cereal box?​

Answers

Answer:

2.25 inch

Step-by-step explanation:

The current volume of box :

Volume = height * width * depth

Volume = 12 * 9 * 2

Volume = 216 in³

New dimension :

Height and volume are the same

Width = 9 - 1 = 8

Depth = x

Volume = height * width * depth

216 = 12 * 8 * x

216 = 96x

x = 216 / 96

x = 2.25 inch

I need help with number 9

Answers

Answer:

Square; x=2; y=1

Step-by-step explanation:

Being that the following quaderlateral has equal sides and angles equal to 90 degrees each, it would be classified as a square.

Now, knowing that they have all equal sides, you could say that

1). 5x-4=3x

as well as

2).2y+4=5y+1

Now, solve for each of the variables:

1). 5x-4=3x

    (Minus 3x from both sides and add 4 to both sides)

     2x=4

     (Divide by 2)

     x=2

2). 2y+4=5y+1

    (Minus 5y from both sides and minus 4 to both sides)

   -3y=-3

   (Divide by -3)

      y=1

Hope it helped! (:

     

Please help me. I don’t understand this problem.

Answers

Answer:

d = 637 ft below the surface

Step-by-step explanation:

Given

P = 14 + [tex]\frac{6}{13}[/tex] d

To find d when P = 308, then

14 + [tex]\frac{6}{13}[/tex] d = 308 ( subtract 14 from both sides )

[tex]\frac{6}{13}[/tex] d = 294 ( multiply by 13 to clear the fraction )

6d = 3822 ( divide both sides by 6 )

d = 637 ft

Answer:

       637 feet

Step-by-step explanation:

[tex]P=14+\dfrac6{13}d\\\\\\P=308\,,\qquad\qquad d=??\\\\\\308=14+\dfrac6{13}d\\\\ 308-14=\dfrac6{13}d\\\\294=\dfrac6{13}d\\\\d=294:\frac6{13}\\\\ d=294\cdot\frac{13}6\\\\d=637\,ft[/tex]

It takes 5 builders, 18 hours to build a wall.
How many minutes would it take 8 builders?​

Answers

it would take 135 minutes:)

The length of two sides of a triangle are 10 cm and 8 cm which measure cannot be the length of the third side of the triangle

Answers

i think the 3rd side is 6

Answer:

Triangle inequality theorem:

10 + 8 > x ⇒ x < 1810 + x > 8 ⇒ x > -2 8 + x > 10 ⇒ x > 2

Combined the inequality is:

2 < x < 18

The length of the third side can't be 2 or smaller or 18 or greater

Describe the transformations necessary to get from the graph of the parent function f(x)=x? to the
graph of the given function.
G(x)= 2(x - 3)^2 + 9
(Compress,Stretch)the graph vertically by a factor of_______
then translate the graph_______units to the (right,left)and _______ units (down,up)

Answers

Answer:

 translate the graph 5 units left and down 2 units

Step-by-step explanation:

To translate the function f(x) by an amount h units right and k units up, make the transformation ...

 g(x) = f(x -h) +k

Comparing this to your equation,

 g(x) = f(x +5) -2

we see that the translation is h = -5, k = -2.

The graph of f(x) is translated 5 units left and 2 units down to make the graph of g(x).

PLEASE HELP NEED IT ASAP
Write the equation, in slope-intercept form, for the line shown in the graph below​

Answers

Answer:

y=5x+3

Step-by-step explanation:

Slope is going 5 units up and 1 unit right.

Slope= 5/1 but just the 5 is preferred.

y-intercept=3

answer this question for brainliest and 20 points

Answers

Answer:

Least to greatest: 2, 3, 1

Step-by-step explanation:

Square root of 8 over 2 is about 1.41 which makes it the least value

2 is obviously equal to 2 which puts it in the middle

Square root of 7 is about 2.64 which makes it the greatest value

Please please help me with this question ASAP ASAP please

Answers

What’s the question?

help plz i’ll give brainliest

Answers

i think its C, C is my guess :)
Hi I seen that Libby got the answer correct so I’m here so they could get brainliest

Find the measures of a, b, c, and d.​

Answers

Answer:

Step-by-step explanation:

a=55  (180-125)

b= 65 (180-55-60)

d= 30    (90-60)

 c=  60 (180-30-90)

I need the volume of these two, please give me a quick answer. I don't have much time​

Answers

Answer:

1) V≈923.62824

2) V= 28.27433

Answer:

1. 923.16 or 294 Pi

2. 3052.08 or 972 Pi

Step-by-step explanation:

Formula for volume of a cone = Pi r^2 h/3

If diameter is 14, radius is 7

Pi 7^2 18/3

Pi 49 6

Pi 294

923.16

Formula for volume of a sphere = 4/3 pi r^3

If diameter is 18, radius is 9

4/3 pi 9^3

4/3 pi 729

972 pi

3052.08

0.5(8+3.2)/-0.1 + 3/(-2.7-6.3)

Answers

Answer:

= 167/3

Step-by-step explanation:

i hope this helps :)

Answer:

-56.3333333333

Step-by-step explanation:

#5 Need help with this

Answers

Answer:

Maple grove associates

Step-by-step explanation:

Myra owns a car service that charges a $5 flat rate and an additional $0.50 per mile.
Write an equation that represents this information.

Answers

Answer: 5 + 0.5m

Step-by-step explanation:

Let the number of miles be represented by m.

Therefore, since there's a $5 flat rate and an additional $0.50 per mile, this can be formed into a equation as:

= 5 + 0.5m

For example if the number of miles taken is 100miles, the amount charged will be:

= 5 + 0.5m

= 5 + 0.5(100)

= 5 + 50

= $55

Paul had a job during his summer vacation he earned 11.25 dollars per hour he worked 20 hours per week for 6 weeks. How much money did he earn?

Answers

11.25 x 20 = 225. So you would do 225 x 6 = 1,350. The answer is $1,350.

Identify the outliers in the scatter plot given below.

Answers

Answer:

A) (1, 6) and B) (9,2) im pretty sure

Step-by-step explanation:

what is the value of the expression 43 ^ 2 ?

Answers

Step-by-step explanation:

[tex] {43}^{2} = 43 \times 43 \\ = 1849[/tex]

Answer:

1849

Step-by-step explanation:

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Help! Please Thanks.

Answers

Answer:

A(7,4) B(4,-6) C(-4,3) D(-3,-4) E(5,-3) F(4,3) G(6,0) H(0,-5) I(0,5) J(-5,0) K(-6,-3) L(2,7) M(2,-2) N(5,2) P(-2,7) R(-5,-9)

Step-by-step explanation:

Just count the values

Good Luck!

Solve The System of Linear Equations



3y = -2x + 33 and -4y = 8x - 92

Answers

Answer:

-3060+6y

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y = -16x2 + 125x + 147

Answers

Answer:

The maximum height of the rocket is about 391.1 feet.

Step-by-step explanation:

The height of the rocket y in feet x seconds after launch is modeled by the equation:

[tex]y=-16x^2+125x+147[/tex]

We want to find the maximum height reached by the rocket.

Since this is a quadratic equation, the maximum height occurs at the vertex. The vertex of a quadratic is given by:

[tex]\displaystyle \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -16, b = 125, and c = 147.

Thus, the x-coordinate of our vertex is:

[tex]\displaystyle x=-\frac{125}{2(-16)}=\frac{125}{32}[/tex]

To find the maximum height, we will substitute this value back in. So:

[tex]\displaystyle y_{\text{max}}=-16\left(\frac{125}{35}\right)^2+125\left(\frac{125}{32}\right)+147\approx391.1\text{ feet}[/tex]

The maximum height of the rocket is about 391.1 feet.

What is the area, in square meters, of the isosceles trapezoid below? 15.8 m 5-4 m 6.6 m Answer: A = ____ m squared​

Answers

Answer:

5.618773 m2

I hope that this is the answer.

Answer:

answer is 60.48 m squared

Step-by-step explanation:

use the formula

a=1/2(b1+b2)h

a=1/2(15.8+6.6)h

a=1/2(22.4*5.4)

a=1/2(120.96)

a=120.96/2

a=60.48m

Please answer quick! God bless.

A movie theater offer two different plans to see movies. Plan One has members join for $75 and then pay only $2 per movie. The second plan offers movies for $5.75 per movie. For what number of movies will the costs be the same for both Plan One members and Plan Two members?

Answers

Answer:

I d k

Step-by-step explanation:

5.75x10=57.50

57.5+11.5=69(nice)

69+5.75= 74.75

74.75+5.75=80.5

80.5+5.75= 86.25

86.25+5.75=92

basically this formula should help

i tried to figure out on the way

1. Find the slope from the ordered pairs. (1,-19), (2,-7) *
12
-12
13
-13

Answers

Answer:

12

Step-by-step explanation:

Use the formula y1-y2/x1-x2 to find the slope from two points.

12

Plug in values into the formula using the given points

-7- -19/2-1

=--7+19/1

=12/1

=12

Answer:

The answer is 12

Step-by-step explanation:

The equation to find slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex]. M is the slope.Then you need to add in the numbers. Your equations should look like this: [tex]m=\frac{-7+14}{2-1}[/tex]  14 is now positive because it was originally negative.Then you just solve it to get your answer 12.
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