the surface area of a pyramid is 85 square meters the side length of the base is 5 meters what is the slant height

Answers

Answer 1

Answer:

6 meters

Step-by-step explanation:

[tex]A=a^2+2a\sqrt{\frac{a^2}{4}+h^2} [/tex]is the formula that you use

h=vertical altitude and

a=side length of the base

[tex]85=5^2+(2*5)\sqrt{\frac{25}{4}+h^2}[/tex]

[tex]85-25=10\sqrt{\frac{25}{4}+h^2}[/tex]

[tex]\frac{60}{10}=\sqrt{\frac{25}{4}+h^2}[/tex]

[tex]6=\sqrt{\frac{25}{4}+h^2}[/tex]

[tex]36=\frac{25}{4}+h^2[/tex]

[tex]36-\frac{25}{4}=h^2[/tex]

[tex]36-6.25=h^2[/tex]

[tex]29.75=h^2[/tex]

Vertical altitude (h) and [tex]\frac{1}{2}a[/tex] and the slant height form a right triangle with the slant height being the hypotenuse

[tex]h^2+(2.5)^2=s^2 [/tex]where s=slant height

[tex]29.75+6.25=s^2[/tex]

[tex]36=s^2[/tex]

s=6 meters

Answer 2

Answer:

slant height = 6 meters

Step-by-step explanation:

surface area of pyramid: 2bs + b²

2*5*s + 5² = 85

10s = 85 - 25

10s = 60

s = 6

The slant height is 6 meters.


Related Questions

What is x?

x/y= 8/y - 1/y

Answers

Answer:

x = 7

Step-by-step explanation:

hope this helps

Answer:

x/y=8/y-1/y-->x/y=8-1 /y -->x/y=7/y-->x×y=y×7-->xy=7y -->x=7y/y-->x=7Answer

Find g[f(-2)], if f(x) = x^2 and g(x) = 3x – 5.

A. -17

B. -7

C. 7

D. -44

Answers

Answer:

g[f(-2)] = 7

Step-by-step explanation:

f(x) = x^2

g(x) = 3x – 5

g[f(-2)]

First find f(-2) = (-2)^2 = 4

Then find g(4) = 3(3) -5 = 12-5 = 7

[tex]f(x)=x^2;g(x)=3x-5\\\\g[f(-2)]=3\times (f(-2))^2-5=3\times(-2)^2-5=3\times4-5=7[/tex]

Answer: c

hope it helps

Grace takes out a loan of $9,573.00 at a 4% simple rate for 4 years. a) How much interest will be paid after 2 years? b) How much total interest will be paid for this loan?​

Answers

The interest to be paid after 2 years is $765.84

The total interest to be paid after 4 years is  $1531.68

What is the simple interest?

Simple interest rate is the interest that is paid only on the principal portion of a loan. This means that the debtor does not pays interest on the interest rate already accrued.

Simple interest = principal x time x interest rate

$9573 x 2 x 0,04 =$765.84

$9573 x 4 x 0,04 = $1531.68

To learn more about interest, please check: https://brainly.com/question/26164549

Which is true regarding Adi’s use of algebra tiles? She used the algebra tiles correctly. She did not represent the two original factors correctly on the headers. The signs on some of the products are incorrect. Some of the products do not show the correct powers of x.

Answers

The correct statement about Adi’s use of algebra tiles is She used the algebra tiles correctly.

Given

Adi used algebra tiles to represent the product

(-2x-2) (2x-1)

Product

The number or expression results from the multiplication together of two or more numbers or expressions.

The correct way to find the product function is;

[tex]\rm =(-2x-2) (2x-1)\\\\=-2x(2x-1)-2(2x-1)\\\\= -4x^2+2x-4x+2\\\\= -4x^2+2x+2[/tex]

Hence, the correct statement about Adi’s use of algebra tiles is She used the algebra tiles correctly.

To know more about the product click the link given below.

brainly.com/question/24593936

Answer:

It's A

Step-by-step explanation:

from the person above me since I know some people do not like reading to get it

I need help. Only do number 20.

Answers

Answer:

2z-8y

Step-by-step explanation:

(01.03. 106, 1.08 HC)
for X 31
3*+1-2
A piecewise function f(x) is defined by f(x) = { –X? + x + 2
x2 – 3x+2
for x>1
x>
Part A Graph the piecewise function () and determine the range (5 points)
Part B. Determine the asymptotes of f(x). Show all necessary calculations. (5 points)
Part C. Describe the end behavior of f(x). (5 points)

Answers

Answer:

  A) see attached for a graph. Range: (-∞, 7]

  B) asymptotes: x = 1, y = -2, y = -1

  C) (x → -∞, y → -2), (x → ∞, y → -1)

Step-by-step explanation:

Part A

A graphing calculator is useful for graphing the function. We note that the part for x > 1 can be simplified:

  [tex]\dfrac{-x^2+x+2}{x^2-3x+2}=-\dfrac{(x-2)(x+1)}{(x-2)(x-1)}=-\dfrac{x+1}{x-1}\quad x\ne 2[/tex]

This has a vertical asymptote at x=1, and a hole at x=2.

The function for x ≤ 1 is an ordinary exponential function, shifted left 1 unit and down 2 units. Its maximum value of 3^-2 = 7 is found at x=1.

The graph is attached.

The range of the function is (-∞, 7].

__

Part B

As we mentioned in Part A, there is a vertical asymptote at x = 1. This is where the denominator (x-1) is zero.

The exponential function has a horizontal asymptote of y = -2; the rational function has a horizontal asymptote of y = (-x/x) = -1. The horizontal asymptote of the exponential would ordinarily be y=0, but this function has been translated down 2 units.

__

Part C

The end behavior is defined by the horizontal asymptotes:

  for x → -∞, y → -2

  for x → ∞, y → -1

A computer is on sale for $600. This is 75% of its original price. What was the original price of the computer?

Answers

Answer:

800

Step-by-step explanation:

Evaluate:10-(6-4)^2divided by 2HURRY PLEASE!

Answers

Answer:

8

Step-by-step explanation:

10 - (2)
8 x 2? = 16
16 / 2 = 8

srry if its the answer u did not want ;-;

Pls help me I’ll give 20 points

Answers

Answer:

26 degrees

Step-by-step explanation:

Triangle A:

So the triangle is 24 degrees and it is an isosceles triangle so the other 2 angles are equal. All the angles in a triangle add up to 180 degrees.

180-24=156 degrees

156 divided by 2 because of the 2 angles = 78 degrees

The angles in Triangle A are 78 degrees which means one corner of the Triangle X is 78 degrees as it is vertically opposite.

Triangle B:

B= 49 degrees and the triangle is isosceles as well. 49 x 2 for the other angle which would be the same is 98 degrees. We would then do

180 -98 = 82 degrees

This means the other angle in Triangle X is 82 degrees

Triangle X:

72 degrees is the top left angle and 82 degrees is the top right angle so you do 72+82= 154 degrees

180-154= 26 degrees

Hope this helps

Solve for x in the equation 3x2 - 18x+5=47.

Answers

Answer:

[tex]x=3\pm\sqrt{23}[/tex]

Step-by-step explanation:

Complete the Square

[tex]3x^2-18x+5=47\\\\3x^2-18x-42=0\\\\x^2-6x-14=0\\\\x^2-6x-14+23=0+23\\\\x^2-6x+9=23\\\\(x-3)^2=23\\\\x-3=\pm\sqrt{23}\\\\x=3\pm\sqrt{23}[/tex]

A shop sells party hats and masks. On a particular morning, 10 hats and 20 masks were sold for $30. In the afternoon, 8 hats and 10 masks were sold for $18. Find the cost of each hat and each mask.

Answers

Answer:

Both the hat and mask cost $1

Step-by-step explanation:

Let the cost of each hat is x and each mask is y.

According to the question, set the equations:

10x + 20y = 308x + 10y = 18

Double the second equation and subtract the first one:

8x*2 + 10y*2 - 10x - 20y = 18*2 - 3016x - 10x = 36 - 306x = 6x = 1

Find the value of y:

10*1 + 20y = 3020y = 30 - 1020y = 20y = 1
hats be h and masks be m

Equations are

10h+20m=30=>h+2m=3--(1)8h+10y=18=>4h+5m=9--(2)

Eq(1)×4

[tex]\\ \tt\hookrightarrow 4h+8m=12\dots(3)[/tex]

Subtract (3) and (2)

[tex]\\ \tt\hookrightarrow 3m=3[/tex]

[tex]\\ \tt\hookrightarrow m=1[/tex]

Put in eq(1)

[tex]\\ \tt\hookrightarrow h+2=3[/tex]

[tex]\\ \tt\hookrightarrow h=1[/tex]

Can you help me please?

Answers

Answer:

3 3/5

Step-by-step explanation:

12/5 × 9/6

2/5 × 9

18/5

= 3 3/5

Twelve new students are standing in a line. How many different ways can the first seven students in line order themselves

Answers

Answer:

Step-by-step explanation:

hope this helps!

There are 5,040 different ways that the first seven students in line can be ordered.

What is an arrangement?

An arrangement is a permutation of a set of objects in mathematics where the order of the things is important. An arrangement is specifically an orderly succession of unique elements drawn from a set.

Consider the set "A, B, C," for instance. This set can be arranged in six different ways: ABC, ACB, BAC, BCA, CAB, and CBA. The three components of the set are stated in a precise order in each of these configurations.

The number of ways that 7 students can be arranged in a line is 7! (7 factorial) which is equal to:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040

Therefore, there are 5,040 different ways that the first seven students in line can be ordered.

To know more about the arrangement follow

https://brainly.com/question/2279136

#SPJ2

Four is equal to half of the sum of a number n and 22. What is the number n ? n = 30 n = 24 n=−14 n=−20.

Answers

Answer:

The answer is n = -14 .

Step-by-step explanation:

4 = 1/2(n + 22)

4 = 1/2n + 11

-7 = 1/2n

-7 / 1/2 = -14 = n

To check your work:

4 = 1/2(-14 + 22)

4 = 1/2(8)

4 = 4

8.2•10^17 and 4.1•10^12

Answers

Answer:

Step-by-step explanation:

1st one is 820000000000000000, or 8.2e+17

2nd one is 4,100,000,000,000, or 4.1e+12

A rectangular television screen is 3 feet wide and 2-10 feet long. What is the area of the
screen?

Answers

Answer:

are uh sure your question is correct??

Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $900. Her goal is to raise more than $9,100. How many more T-shirts, x, does Carlene need to sell to reach her goal?

Answers

Answer:

the answer would be 400.

Step-by-step explanation:

9,100 - 900 = 8,200

she would need to raise 8,200 more. to know many shirts tho, we need to divide by the cost

8,200 divided by 20.50 is 400.

400 shirts.

If I'm wrong, let me know, please.

Answer:

x=400

Step-by-step explanation:

Already sold: 900/20.50=43

Needs to sell altogether:443

Needs to sell minus already sold: 443-43=400

She needs to sell 400 more shirts.

In one week, Jenny workers a total of 22 hours at a movie theater and a car wash. Jenny earned $8.50 per hour at the movie theater and $8.00 per hour at the car wash. She earned a total of $181 for the week. How many hours did Jenny work at the car wash.

Answers

Answer:

10 hours

Step-by-step explanation:

12 hours theater = $96.00

10 hours car wash = $85.00

total = 22hours = $181.00

please help!!!!! :( i have 22 questions left :(.
(19 if yall answer these 3)

Answers

Answer:

Step-by-step explanation:

1)

there are 16 coins total.

10/16 chance to choose a dime

1/15 chance to choose a penny

1/24 answer is D

2)12/36*78

26 B

3) around 4/32 of buttons are orange.

multiply by 64

8 answer is B

Pls Pls help me:
An observer on a clifftop 57m high observes a sailing boat at sea. The angle of depression to the shop is 15 degrees. Five minutes later the angle of depression was 25 degrees.
A) Is the boat sailing towards or away from the cliff?
B) Assuming the boat is sailing in a straight line, determine to the nearest meter how far the boat sailed between the two sightings?

Answers

Answer:

Here's the answer.....hope you understand....

Find the sales price of the following item. Choose the correct answer. An oil filter listed at $2. 89, marked down 31% $.

Answers

Answer:

Sales price of the item would be approximately $2.

Step-by-step explanation:

Since we have given that List price of the item = $2.89

Rate of decline = 31%

So, Amount reduced by $0.8959

So, Sales price of the item will be $2

Hence, Sales price of the item would be approximately $2.

please mark brainliest if i got it correct i need 3 more!

if ac = 8x 14 and ec =2x + 11 solve for x

Answers

Equivalent expressions are expressions that have equal values

The value of x is 25/6

How to calculate the value of x

From the question, the values of ac and ec are equivalent

So, we have:

8x - 14 = 2x + 11

Collect like terms

8x - 2x = 14 + 11

Evaluate the like terms

6x = 25

Divide both sides by 6

x = 25/6

Hence, the value of x is 25/6

Read more about equivalent expressions at:

https://brainly.com/question/2972832

There are 10% percent of 50 duckies that have stars if u split the duckies

How many duckies have stars? Please help im so confuse on this :(

Answers

Answer:

2 or 3). ( or there answer could be 5 because the question isn't very clear

Step-by-step explanation:

first you need to figure out 10 percent of 50 which is 5. than the. question says they split the duckies but 5 is not splittable so there would be either 2 or 3.


A box of bolts weighs 12.5 kg and the box weighs 400 g, what is the weight of the bolts?

Answers

Answer:

12100 g or 12.1 kg

Step-by-step explanation:

You convert 12.5 kg to grams. Then you subtract what you get (which should be 12500 g) by 400 g.

find the slope of the line passing through (-4, 5) and (-8,-5)

Answers

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-8}-\underset{x_1}{(-4)}}}\implies \cfrac{-10}{-8+4}\implies \cfrac{-10}{-4}\implies \cfrac{5}{2}[/tex]

Slope = (y2 - y1) / (x2 - x1)

Slope = (-5 - 5) / (-8 - -4)

Slope = -10 / -4

Slope = 10 / 4

Which is the same as 5/2.

Solve. (15 points!! or 20, if you find that more reasonable. ;P )

Answers

Answer:

slopes are correct for both the lines, but not the y-intercepts.

Step-by-step explanation:

slopes are correct for both the lines, but not the y-intercepts

The [tex]-x+2y=1[/tex] line has been correctly drawn.

The [tex]-2x - 3y=-12[/tex] has the correct slope but the wrong y-intercept.  The y-intercept should be 4

show through prime factorising that 899 is not a prime number

Answers

For 899, the answer is: No, 899 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 899) is as follows: 1, 29, 31, 899.

The total cost of four pens and six mechanical pencils is $16.20. The cost of each pencil is 70 cents. Using an arithmetic approach, find the cost of a pen.​

Answers

Answer:

300 cents or $3

Step-by-step explanation:

Let p be the cost of one pen and m be the cost of one mechanical pencil. We can use this to set up a system of equations:

4p+6m=1620 (convert $16.20 to cents by multiplying it by 100)

m=70

We can solve this using substitution (substitute 70 for m):

4p+6(70)=1620

4p+420=1620

Subtract 420 from both sides

4p=1200

Divide both sides by 4

p=300 cents or $3

Right answer gets BRAINYESST

Answers

Answer:

check all below

Step-by-step explanation:

#1

1/6)^3

1/26 so answer 1 on number one

#2 what the heck is this 65+75= 140 not 120

65/120 = 54.16666% * 12600 = 6825 so 3

or 65/140 = 46.428% * 12600 = 5850

#3 number 4 makes the most since sense you get the WHOLE POPULATION

#4 1/5*1/2 or 1/10 = .10 * 100% = 10% or 3

#5

6+2+8+4 = 20

2 red marbles

2/20 = 1/10 = .10 * 100% = 10% or 2

13) A cell phone plan cost $200 to start. Then there is a $50 charge each month. What is the total cost for x months? (Hint: Write the expression needing to find the total cost)​

Answers

Answer:

50x + 200

Step-by-step explanation:

50 dollars each month (for x months) is 50x, and the initial cost is 200 (flat fee) which means that the expression is 50x+200

Answer:

50x+200

Step-by-step explanation:

Our constant term is the 200, because it's the upfront charge. Our coefficient is going to be 50, because 50 dollars are being charged each month.

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