A stainless steel patio heater is a square pyramid. The length of one side of the base is 24.4 in. The slant height of the pyramid is 90.4 in. What is the height of the​ pyramid?

Answers

Answer 1

Answer:

89.57in

Step-by-step explanation:

Given the following

Slant height of the pyramid l = 90.4in

Length of one side of the base b =24.4in

Required

Height of the pyramid H

To get the height we will use the Pythagorean theorem as shown

l² = h²+(b/2)²

Substitute the given values

90.4² = h²+(24.4/2)²

90.4² = h²+12.2²

h² = 90.4²-12.2²

h² = 8023.32

h = √8023.32

h = 89.57in

Hence the height of the pyramid is 89.57in


Related Questions

divide round and nearest hundredths place 4.05 / 0.07 ​

Answers

Answer:

divide round and nearest hundredths place 4.05 / 0.07 ​the answer would be:

57.86

Np.

There are 68 female teachers and 29 male teachers at Josie's high school. What is the ratio of the number of female teachers to the total number of teachers?

97:68
29:68
97:87
68:97

Not that hard but I did end up confusing myself.

Answers

i think it’s 68:97 from what i know
68:97 :] 68+29= the total amount of teachers which is 97, the ratio is female teachers:total teachers

a(1)=−13
a(n)=a(n−1)+4

find the 2nd term in the sequence

Answers

Answer:

n=2

a(2)= -13(2-1)+4

a(2) = -13(1)+4

= -13+4

= -9

1/4 divided by 1/13 please help !

Answers

Answer:

13/4

Step-by-step explanation:

We do reciprocal of 1/13 it will be 13/1 after we multiply last answer 13/4

Answer:

3 1/4

Step-by-step explanation:

[tex] \frac{1}{4} \div \frac{1}{13} \\ \\ = \frac{1}{4} \times \frac{13}{1} \\ \\ = \frac{1 \times 13}{4 \times 1} \\ \\ = \frac{13}{4} \\ \\ = 3 \frac{1}{4} \\ [/tex]

Find the total amount given the original price and tax rate. Round to the nearest cent if necessary.
$15.25,7%

Answers

Given:

Original price = $15.25

Tax rate = 7%

To find:

The total amount.

Solution:

We know that,

Total amount = Original price + Tax

According to the question,

Total amount = 15.25 + 7% of 15.25

[tex]\text{Total amount}=15.25+\dfrac{7}{100}\times 15.25[/tex]

[tex]\text{Total amount}=15.25+1.0675[/tex]

[tex]\text{Total amount}=16.3175[/tex]

Round to the nearest cent (two decimal places).

[tex]\text{Total amount}\approx 16.32[/tex]

Therefore, the total value is $16.32.

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⚠️⚠️WILL GIVE 10 BRAINLYY⚠️⚠️

Answers

Answer:

side 'c' is the hypotenuse

side 'c' is the longest

sides 'a' and 'b' are both considered 'legs'

side 'c' is opposite the right angle

Step-by-step explanation:

the hypotenuse is always opposite the right angle

the hypotenuse is always the longest side

Answer:

■ The hypotenuse is c, or in other words, the diagonal.

■ The longest side is c, or in other words, the hypotenuse.

■ The side that is a leg includes both a & b.

■ The side that is opposite the right angle is c, or in other words, the hypotenuse.

if anyone answer this question correctly will get 100 points and a marked brainllest at 1:02 just add me and answer below and its yours.

Answers

Answer:

okk thanks for free points

.............

Answer:

1. -2

2. -3

3.

a. 155x+375 >= 900

b. x>=3.38709677. or technically >=4 because you get payed at the end of a week?

Step-by-step explanation:

1. (y-y)/)x-x)

2. same thing

3 a. 155 is the rate, 375 is the starting value

b. subtract 375, divide by 155

I’m supposed to be graphing systems of equations. Can someone explain what to do?

Answers

Answer: x=-1, y= -3

Step-by-step explanation:

1.substitute y for -3

[2x-(-3)=1]

2.simplify

[2x+3=1]

3. Isolate x for 2x+3

x= -1,y=-3

Find The are of the shaded region

Answers

Answer:

the one you have highlighted is correct

Step-by-step explanation:

7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5

and

5(3x+4) -2x = 7x -3(-2x+11)​

Answers

Answer:

For the first problem the answer is x=4

The second Problem the answer is no solutions

Step-by-step explanation:

7x−(3x+5)−8=1/2 (8x+20)−7x+5

7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)

7x+−3x+−5+−8=4x+10+−7x+5

(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)

4x+−13=−3x+15

4x−13=−3x+15

Step 2: Add 3x to both sides.

4x−13+3x=−3x+15+3x

7x−13=15

Add 13 to both sides.

7x−13+13=15+13

7x=28 Divide both sides by 7.

x=4

5(3x+4) -2x = 7x -3(-2x+11)​

Simplify both sides of the equation.

5(3x+4)−2x=7x−3(−2x+11)

(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)

15x+20+−2x=7x+6x+−33

(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)

13x+20=13x+−33

13x+20=13x−33

Subtract 13x from both sides.

13x+20−13x=13x−33−13x

20=−33

Step 3: Subtract 20 from both sides.

20−20=−33−20

0=−53

There are no solutions.

Answer:

Step-by-step explanation:

7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5

1. Distributive Property

7x - 3x - 5 - 8 = 4x + 20 - 7x + 5

2. Combine like terms

4x -13 = -3x + 25

3. Add 13 on both sides

4x -13 + 13 = -3x + 25 + 13

4x = -3x + 38

4. Add 3x on both sides

4x + 3x = -3x + 3x + 38

7x = 38

5. Divide by 7 on both sides

7x / 7= 38 / 7

x = 5.428571428571429

or

x = 5.4

__________________________________________________________

5(3x+4) -2x = 7x -3(-2x+11)​

1. Distributive Property

15x + 20 - 2x = 7x + 6x - 33

2. Combine like terms

13x + 20 = 13x - 33

3. Subtract 20 on both sides

13x + 20 - 20 = 13x - 33 - 20

13x = 13x - 53

4. Subtract 13x on both sides

13x - 13x = 13x - 13x - 53

0 = -53 ( there is no answer for x)

Hope this helped!!!!

Please help. Will give brain!!

Answers

Answer: I believe it's 5 I am not sure

Step-by-step explanation:

I’ll say they answer is 5

The parabola in the figure below has an equation of the form
y = ax^2 + bx - 4.

Find the equation of the parabola

Answers

Answer:

y = - x² + 5x - 4

Step-by-step explanation:

Given that the zeros are x = 1 and x = 4 , then the corresponding factors are

(x - 1) and (x - 4) , then

y = a(x - 1)(x - 4) ← a is a multiplier

   = a(x² - 5x + 4)

To find a substitute the coordinates of any other point on the parabola into the equation.

Using (2, 2), then

2 = a(4 - 10 + 4) = - 2a ( divide both sides by - 2 )

a = - 1

Thus

y = - (x² - 5x + 4) = - x² + 5x - 4 ( with a = - 1 and b = 5 )

Alex can walk 6 miles every 2 hours. How far can he walk in 11 hours?

Answers

Answer:

33

Step-by-step explanation:

Is x = 6 a solution to the equation x + 13 = 18?
O A. Yes, because 6 +13 = 18 is true.
O B. No, because 6 + 13 = 18 is true.
C. No, because 6 + 13 = 18 is not true.
D. Yes, because 6 + 13 = 18 is not true.

Answers

x = 6 is not a solution to the equation x + 13 = 18.

Hence, Option C) No, because 6 + 13 = 18 is not true. is the correct answer.

Is x = 6 a solution to the equation x + 13 = 18?

Given the equation;  x + 13 = 18.

We plug x = 6 into the equation

x + 13 = 18

6 + 13 ≠ 18

6 + 13 is not 18

x = 6 is not a solution to the equation x + 13 = 18.

Hence, Option C) No, because 6 + 13 = 18 is not true. is the correct answer.

Learn more about equations here: brainly.com/question/14686792

#SPJ1

Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6

Answers

Answer:

They both equal

Step-by-step explanation:

The statement is true about ∠2 and ∠6  is corresponding angles.

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

Parallel lines j and k are cut by transversal t .

We have to find  statement is true about ∠2 and ∠6.

According to given question we have

Parallel lines j and k are cut by transversal t .

So,

∠2 = ∠6 ( corresponding angles)

∠1 = ∠5 ( corresponding angles)

Therefore, the statement is true about ∠2 and ∠6  is corresponding angles.

Learn more details about  line here:

https://brainly.com/question/2696693

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Evaluate 3m - 5 when m=9
Thank you!!’

Answers

3m-5=22

Explanation

3(9)-5
3 times 9 is 27
27 minus 5 is 22

A right triangle has legs of lengths 24 and 23 inches. Find the length of
the hypotenuse (nearest tenth).
label required

Answers

Answer:

33.2

Step-by-step explanation:

24²+²23²=1105

Square root of 33.2415

=33.2

pls help me and hve a nice day ;p

Answers

Step-by-step explanation:

km²

make it braintliest please

Hi, I need help with the EXPLANATION of this question. I have the right answer, but I am unsure why. 50 POINTS

Answers

Step-by-step explanation:

Using Pythagoras' Theorem, we have

x² + 10² = (12√3)²

Therefore x² = (12√3)² - 10²

= (144)(3) - (100) = 332.

=> x = √332 = 2√83. (B)

which pair of angles are alternate exterior angles
<1 and <5
<3 and <6
<5 and <8
<1 and <8

Answers

Answer:

<1 and <8

Step-by-step explanation:

<1 and <8 are alternate angles and has same measurement.

The revenue from selling x tickets to a concert is the represented by the function r(x)=10x. The cost for buying tickets is represented by the function c(x) = 8x+40. The profit made from selling the tickets is represented by the function p(x) = r(x) - c(x). What is p(100)? *

Answers

Step-by-step explanation:

All these fancy terms is confusing. We just need to substitute the original equations into the final problem statement.

[tex]p(x) = 10x - (8x+40) = 10x - 8x - 40[/tex]

We can then substitute 100 for x and solve.

[tex]p(100) = 10(100) - 8(100) - 40[/tex]

Is 43/96 a rational number 

Answers

Yes it is rational because they are whole numbers and integers

Dwight is selling flowers and candles for a school fundraiser. Flowers, x, sell for $7 for a bouquet, and candles, y, sell for $5. each. If he wants to sell at least $200 worth of flowers and candles, which inequality represents the situation where he sells x flowers and y candles?

A: 7x + 5y 200
C: 7x + 5y ≤ 200
D: 7x + 5y ≥ 200

Please explain why the right answer choice is correct. Thanks.

Answers

Since he wants to sell AT LEAST 200, the number he is selling must be greater than or equal too the number of flowers and candles. Therefore you would need the greater than and equal sign, with the open end being towards the 7x + 5y.
The Answer is D

Answer:

D: 7x + 5y ≥ 200

Step-by-step explanation:

If flowers sell for $7 and candles sell for $5, we can write those as 7x and 5y. Now, our inequality is 7x + 5y __. The words "at least" can translate to greater than or equal to. The symbol for that is ≥. Now, he wants to sell at least $200 worth of goods. That means we can write our inequality as 7x + 5y ≥ 200.

I am three years younger than my brother and I am two years older than my sister my mom's age is 1 less than three times my brothers age when you add all these ages up you get 87 what are our ages

Answers

Answer:my age = 13years,My brother's age =16years,My sister's age=11years,my mom's age =47years

Step-by-step explanation:

Step 1

Let my age be represented as x

My brother's age be represented as x+3

My sister's age =x-2

and my mum's age be 3(x+3)-1  with the total of all our ages = 87 Giving us the equation

x+ x+3+ x-2+ 3(x+3)-1 = 87

Step 2 ---Solving

x+ x+3+ x-2+ 3(x+3)-1 = 87

x+ x+3+ x-2+ 3x+9 -1 = 87

6x + 9= 87

6x= 87-9

6x= 78

x =78/6 = 13

Therefore my age = 13years

My brother's age = x+ 3 = 13+3= 16years

My sister's age = x-2 =13-2 = 11years

my mom's age = 3(x+3)-1= 3(13+ 3)- 1= 3 x 16 - 1 = 47years

So, I need to find out, how long one of the side lengths of the orange square is. the square is in the semicircle. you do not have any numbers given, and should use just letters.
thanks in Advance​

Answers

Answer:

Assuming the square and the semicircle aren't merged somehow, and we need to calculate their full area, we should take into account:

Area of a square:

(Side length)² = 22² = 484 square inches

Area of a circle with a diameter of 22inch:

3'14 · (radius)² = 3'14 · 11² = 379'94 square inches

Since we have half a circle, the total areas to add will be:

1/2 · 379'94 + 484 = 673'97

Step-by-step explanation:

If TRAP is an isosceles trapezoid, what is the value of X?
A. 6
B. 32
C. 28
D. 22
E. 15
F. Cannot be determined

Answers

it’s b because you simplify it to it’s simplest form

Complete this table

3
32
38
34
35
36
1
3
9
27
729

Answers

3⁴= 3×3×3×3= 81

3⁵= 3×3×3×3×3= 243

hope it helps! please mark me brainliest

thank you!! have a good day ahead..

Answer:

this is 3⁴= 81 and 3⁵= 243

what is the value of x

Answers

We need the equation
There is no question?????!!!!!!!!!

On average, Shawnee drinks 1/2 of a 6 ounce glass of water in 2/3 hour. How much water does she drink in an hour?

Answers

Answer:

1/2 of 6 = (1/2)*6 = 0.5*6 = 3

Shawnte drinks 3 ounces of water in 2/3 hrs.

3 oz = 2/3 hr

3*(3 oz) = 3*(2/3 hr) .... multiply both sides by 3

9 oz = 2 hrs

She drinks 9 ounces of water in 2 hrs

9/2 oz = 2/2 hrs .... divide both sides by 2

4.5 oz = 1 hr

She drinks 4.5 ounces of water in 1 hour.

There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club? One-third One-half Two-thirds StartFraction 3 Over 1 EndFraction

Answers

Answer:

1:3

Step-by-step explanation:

Given that,

Total no. of boys = 5

Total no. of girls = 10

We need to find the ratio of the number of boys in the club to the total number of students in the club.

Total no. of students = no. of girls + no. of boys

= 5 +10

= 15

Ratio,

[tex]R=\dfrac{5}{15}\\\\=\dfrac{1}{3}[/tex]

Hence, the required ratio is 1/3 or one third.

Answer:

1/3

Step-by-step explanation:

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