The surface area of the square pyramid shown is 84 square inches. What is the value of $x$ ? Square pyramid with base edge of 6 inches, and a slant height labeled x inches, on a triangular face.

Answers

Answer 1

Answer:

4 inches

Step-by-step explanation:

The surface area, A of a right square pyramid is given by :

A = a² + 2as

Where, s = height of each triangular surface = x

a = base edge of pyramid

Substituting values into the equation :

A = 84 in² ; a = 6 in ; Slant height, s = x

84 = 6² + 2(6 * x)

84 = 36 + 2(6x)

84 = 36 + 12x

84 - 36 = 12x

48 = 12x

48/12 = 12x / 12

4 = x

Hence, Slant height, x = 4 inches

Answer 2

Answer:

4 inches

Step-by-step explanation:

The surface area, A of a right square pyramid is given by :

A = a² + 2as

Where, s = height of each triangular surface = x

a = base edge of pyramid

Substituting values into the equation :

A = 84 in² ; a = 6 in ; Slant height, s = x

84 = 6² + 2(6 * x)

84 = 36 + 2(6x)

84 = 36 + 12x

84 - 36 = 12x

48 = 12x

48/12 = 12x / 12

4 = x

Hence, Slant height, x = 4 inches


Related Questions

A triangle has two sides of length 17 and 19. What is the smallest possible whole-number length for the third side?

Answers

Answer:

3

Step-by-step explanation:

A triangle has two sides of length 17 and 19. What is the smallest possible whole-number length for the third side?

To solve for the above question, a rule applies.

The rule states that:

The sum of any 2 sides must be greater than than the third side.

The possible values for the third side are

19 - 17 < x < 19 + 17( x is the third side )

2 < x < 36

Thus the smallest possible whole number is 3

There are 60 people waiting in line for a movie. If 20 percent are wearing hats, how many people in line were not wearing hats?

Answers

Answer:

48 people

Step-by-step explanation:

To find 20% of 60, you multiply 60 by .2 and get 12. Subtract 12 from 60, and 48 people were not wearing hats.


HELP PLEASE

1. 5x + 7 = 2x + 16
2. 3x + 4 = 5x – 10

Answers

Answer:

1. x=3

2. x=7

Step-by-step explanation:

please help xx 10 points

Answers

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Move the center of the circle to a different location, and record the required values in the table. Check the boxes for the area of the circle and the area of the sector after you move the center. Round the values to two decimal places.

Answers

Answer: answer in the image

Step-by-step explanation:

Answer:

Step-by-step explanation:

Un móvil sale con una rapidez de 5m/s y alcanza una rapidez de 40m/s en 10s. Determine la distancia recorrida.

Answers

Answer:

d = 225 m

Step-by-step explanation:

Initial speed, u = 5 m/s

Final speed, v = 40 m/s

Time, t = 10 s

Acceleration,

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{40-5}{10}\\\\a=3.5\ m/s^2[/tex]

Let d is the distance covered. Using second equation of motion to find it i.e.

[tex]d=ut+\dfrac{1}{2}at^2\\\\d=5\times 10+\dfrac{1}{2}\times 3.5\times 10^2\\\\d=225\ m[/tex]

So, it will cover 225 m.

Need help in this ASAP

Answers

Answer:

The m∠YXW is 125°.

Addition equation: m∠YXW = m∠YXZ + m∠ZXW = 85° + 40° = 125°

Step-by-step explanation:

To find the m∠YXW you would need to add the m∠YXZ and m∠ZXW together:

m∠YXW = m∠YXZ + m∠ZXW = 85° + 40° = 125°

Is this a function? Why or why not?

Answers

Answer:

Yes because there are no repeated dependent variables.

Step-by-step explanation:

If the width of a pool is 60 feet and the perimeter is 200 feet, how long is the pool?
A. 140 feet
B. 120 feet
C. 40 feet
D. 50 feet

Answers

Answer:

140

Step-by-step explanation:

200-60 = 140

Answer:

c

Step-by-step explanation:

Substitute the values in the problem to get, (200) = 2(60) + 2W. Solve for W to get 200 = 120 + 2W. Subtract 120 on both sides to get 80 = 2W. Divide by 2 on both sides to get 40 = W or a width of 40 feet.

hope that helped you.

please help me NOW, I have a MIN LEFT HURRY

Answers

Numbers are too small to see gosh dammit

A box contain 10 green pins 3 are blue and 7 are green. Two pins are randomly taken out of the box without replacement work out the probability that both pins are the same color

Answers

Answer:

[tex]P(Z)=\frac{8}{15}[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=10[/tex]

Green pins [tex]x=7[/tex]

Blue pins [tex]y=3[/tex]

 

Generally the probability of getting two green is mathematically given by

[tex]P(2X)=\frac{7}{10}*\frac{6}{9}[/tex]

[tex]P(2X)=\frac{7}{15}[/tex]

Generally the probability of getting two blue is mathematically given by

[tex]P(2Y)=\frac{3}{10}*\frac{2}{9}[/tex]

[tex]P(2Y)=\frac{1}{15}[/tex]

Therefore the probability that both pins are the same color P(Z)

[tex]P(Z)=P(2Y)+P(2X)\\P(Z)=\frac{7}{15}+\frac{1}{15}[/tex]

[tex]P(Z)=\frac{8}{15}[/tex]

Whats the slope using Rise/Run?
Thanks

Answers

Answer: 1/4

Step-by-step explanation: Use (y2-y1)/(x2-x1) to find slope. The points are (-1, 1) and (-5, 0). (0 - 1)/(-5+1)= -1/-4 = 1/4

Hope this helps!

which equation can be used to solve for x in the diagram?

a- 11x = 7x

b- 7x + 90 = 11x

c- 7x + 11z = 180

d- 7x + 11x = 90

Answers

Answer:

The answer is D. 7x + 11x = 90

PLZ HELP WILL GIVE BRAINLY IF CORRECT

Answers

Answer:

1000 MM is the greatest

Step-by-step explanation:

1000 MM to CM = 100

9.7 CM and 4.7 CM are too small, therefore, we ignore them..

450 MM to CM is 45, therefore 1000 MM is the greater length

Answer:

A

Step-by-step explanation:

1,000mm=100cm

A kite was was broken into two triangles. What is the height, h, one of the triangles?

A) 4 ft
B) 8 ft
C) 7 ft
D) 14 ft

Answers

I think the answer is A) 4ft

When you look at the picture the the width is 8 ft divided that by 2 since it is broken into two triangle to get the answer 4

Answer:

4

Step-by-step explanation:

took test on edge :D

3
A ABC and point E are shown in the diagram below. Determine a possible location of point D to make
ABC. CDE

Answers

Answer:

Step-by-step explanation:

John mows 3 of his neighbors yards for $20 a yard. How much money did he make?

Answers

Answer:

60

Step-by-step explanation:

Answer:

The answer is $60

Step-by-step explanation:

If each yard earns John $20, and John cuts 3 yards, then John earns $60.

3 • 20 = 60

Solving System equations using substitution

5x+2y=21
-x-y=-9
Can someone help solve this

Answers

Answer:

x = 1

Step-by-step explanation:

-5x+2(7x)=9

-5x+14x=9

9x=9

x=1

also you can use math_way to help solve this

Have a great day!

Mhanifa please help this is due soon

Answers

Answer:

(27)

Rectangle

Interior angles are all 90°

5x - 3° = 90° 5x = 93° x = 93°/5 x = 18.6° (28)

Rhombus

All sides are congruent

14 - x = 2x + 5 2x + x = 14 - 5 3x = 9 x = 3 (29)

Square

Diagonals are perpendicular

13x + 5.5° = 90° 13x = 84.5° x = 84.5°/13 x = 6.5°

please help! question is in the pic

Answers

Answer: 2 + 1 = 3      2 x 1 =2

Step-by-step explanation: + 7 = 7

how many units of meters make a kilometer?

Answers

ANSWER: 1000m


EXPLANATION: 1 km = 1000

Find the product. 1.5m6(-2m2)4

Answers

9514 1404 393

Answer:

  24m^14

Step-by-step explanation:

It looks like you want to simplify ...

  [tex]1.5m^6(-2m^2)^4=(1.5)(-2)^4(m^6)(m^{2\cdot4})\\\\=(1.5)(16)m^{6+8}=\boxed{24m^{14}}[/tex]

__

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

Add the two functions.

f(x) = 3x3 + 7x − 26

g(x) = x + 2

Answers

Answer:

1. F ( x ) = 3/4x^4 + 7/2x^21 - 26x + C

2. G ( x ) = 1/2X^2 + 2x + C

De un depósito se gasta primero la mitad del agua, y luego la cuarta parte de lo que quedaba. Al final,
quedan 12 litros. Hallar la capacidad del depósito.

Answers

Answer:5/8 fraction of the deposit has been spent, which is 20 liters

Let "a" be the initial amount of water, then first half the water is used: then a / 2 of water is used and the other half is left at / 2 * (1/4), then the fourth part is used: then 1/8 * a is used, so now it remains: a / 2 - a / 8 = 3/8 * a, so 5/8 * a has been used, then what remains are 12 liters:

3/8 * a = 12 L

a = 12 L * 8/3 = 32 L

Wasted: 32 L - 12 L = 20 L

You can visit: brainly.lat/tarea/13597443

Sophie surveyed 30 random students in her school and 18 said they enjoy watching baseball. A total of 1,050 students are in the school. How many of these are EXPECTED to enjoy watching baseball? *

Answers

Answer:

630 people

Step-by-step explanation:

Ratios:

[tex]\frac{18}{30} =\frac{x}{1050} \\\\30x=18900\\x=630[/tex]

The parallelogram shown below has an area of 35 units^2 2 squared. Find the missing height. h =h=h, equals units

Answers

Answer:

h = 5 units

Step-by-step explanation:

Given that,

The area of the parallelogram, A = 35 unit²

In the attached figure, we can see that the base is 7 unit.

We know that,

Area of a parallelogram, A = b × h

So,

[tex]h=\dfrac{A}{b}\\\\h=\dfrac{35}{7}\\\\h=5\ units[/tex]

So, the value of h is equal to 5 units.

Help I’ll give Brainly est

Answers

Answer:

26 sq units.......

Brain Teaser! Will be posting till I run out! Winner gets a brainliest!

Question: Find the area of the red triangle.

Answers

Answer:

i tried

Step-by-step explanation:

im suppose to be gifted... it took me 20 minutes and im in 9th grade RIP, but is it 9??

The sum of the measures of two angles is 90° one angle has a measure of 32.8° the other angle is represented by X what is the measure of the second angle

Answers

Answer:

x = 57.2

Step-by-step explanation:

Equation:

32.8 + x = 90

x = 90 - 32.8

x = 57.2

HELP PLEASE ASAP!!!!!!!!!!!!

Answers

Answer:

a = 2, b = 3

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , so

3a + 11 = a + 15 ( subtract a from both sides )

2a + 11 = 15 ( subtract 11 from both sides )

2a = 4 ( divide both sides by 2 )

a = 2

and

3b + 5 = b + 11 ( subtract b from both sides )

2b + 5 = 11 ( subtract 5 from both sides )

2b = 6 ( divide both sides by 2 )

b = 3

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