A square pyramid has
a base edge of 8 inches
and a surface area of 304
square inches. Find the
Slant height of the
pyramid.

Answers

Answer 1

The slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.

What is the Surface Area of a Square Pyramid?

Surface area (SA) = a² + 2al

Given the following parameters:

Surface area = 304 sq. in.a = 8 in.l = ? (slant height)

Plug in the values into (SA) = a² + 2al:

304 = 8² + 2(8)l

304 = 64 + 16l

304 - 64 = 16l

240 = 16l

240/16 = l

15 = l

l = 16

Therefore, the slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.

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Related Questions

71-2x + 2
y2= -x+8
Albert created this table of solutions for the equations.
X
-2
0
4
N
S
yu
2 | 2
6
10
y2
10
8
6
4
Which point is a solution to the system of equations?
А.
(-2,-2)
B. (0,8
C.
(2,6
Cinem
D. (10,4)
in

Answers

Answer:

(2,6)

Step-by-step explanation:

y1 = y2

2x + 2 = - x + 8

2x + x = 8 - 2

3x = 6

x = 2

y1 = y2 = 6

Jasmin rakes at two different houses. it takes her 2 1/3 hours to rake leaves at the first. it takes her 1/2 of that time to rake at the second house. how long does it take jasmin to rake at the second house?​

Answers

Answer:

Jasmin rastrilla en dos casas diferentes. le toma 2 1/3 horas rastrillar las hojas al principio. le toma 1/2 de ese tiempo rastrillar en la segunda casa. ¿Cuánto tiempo tarda el jazmín en rastrillar en la segunda casa?

Step-by-step explanation:

Can you pls help me with this

Answers

The score that she needs in her next test to averages 72 is 77
(73+88+64+58+x)/5=72
(283+x)/5=72
283+x=(72x5)
X=360-283
X=77
Check
(73+88+64+58+77)/5=72
(360/5)=72
72=72

A cube has a side length of 5 inches. What is the surface area, in square inches of the cube?

Answers

Answer:

A=6a2=6·52=150in²

Step-by-step explanation:

help i’ll mark brainlist

Answers

4,10 I am only in 5th grade. Ordered pairs might be what ur working with

How to write expressions as the sine, cosine, or tangent of a single angle

Answers

sine(angle) = opposite side / hypotenuse
cosine(angle) = adjacent side / hypotenuse
tangent(angle) = opposite side / adjacent side

Look up trigonometry triangle side names if you need help on that.

I remember this by SOH CAH TOA

Agustin says that he can hold his breath for 90 seconds. And, he says that he did this 5 times this week. He used fractions and multiplication to calculate how many minutes he held his breath this week.

Answers

Answer:

7.5 minutes

Step-by-step explanation:

90 seconds is equivalent to 1.5 minutes

1.5×5=7.5

Solve the equation for all values of x by completing the square. 5x^2-70x=-230
Solve this ASAP please

Answers

Answer:

[tex]x=7 + \sqrt{3}[/tex]

[tex]x=7 - \sqrt{3}[/tex]

Step-by-step explanation:

Given equation:

[tex]5x^2-70x=-230[/tex]

Divide both sides by 5:

[tex]x^2-14x=-46[/tex]

Square half of the coefficient of [tex]x[/tex]:  [tex](-14 \div 2)^2=49[/tex]
and add this to both sides:

[tex]x^2-14x+49=-46+49[/tex]

Factor the left side and simplify the right side:

[tex](x-7)^2=3[/tex]

Square root both sides:

[tex]x-7=\pm\sqrt{3}[/tex]

Add 7 to both sides:

[tex]x=7 \pm \sqrt{3}[/tex]

[tex]\sf x=\pm \sqrt{3}+7[/tex]

solving step wise:

[tex]\sf 5x^2-70x=-230[/tex]

divide the following by 5

[tex]\sf x^2-14x=-46[/tex]

completing square

[tex]\sf (x-\dfrac{14}{2})^2-(\dfrac{14}{2})^2 =-46[/tex]

should look like this

[tex]\sf (x-7)^2-49=-46[/tex]

simplify by changing sides

[tex]\sf x-7=\pm \sqrt{3}[/tex]

final answer:

[tex]\sf x=\pm \sqrt{3}+7[/tex]

The number of points scored by two basketball teams in each teams' latest
10
games are listed below. Compare and contrast the measures of central
tendency for the data sets.
Team one: {54, 47, 62, 59, 49, 51, 54, 60, 57, 53}
Team two: {63, 57, 49, 52, 61, 43, 51, 53, 56, 48}

Answers

Answer:

See  below.

Step-by-step explanation:

Arranging the data in ascending order:

Team one: { 47, 49,  51,  53,  54,  54,  57, 59, 60, 62}

Team two:  {43, 48,  49,  51,   52, 53,  56, 57,  61,  63}

The mean for team one = sum of the scores / 10 =

= 546/10 = 54.6.

The median for team 1 = 54.

The mean for team two = sum of the scores / 10 =

= 533/10 = 53.3.

The median for team 2 = 52.5.

Team 1 has a higher mean than team 2:  54.6 - 53.3  = 1.3 higher.

In both cases, the mean is greater than the median though the difference is < 1 in both cases. So in both cases the distribution of the scores is close to symmetrical, with team 1 being slightly more symmetrical.

The relative frequency of Event A in an experiment is 13.


If the experiment is performed 30 times, how many times should you expect Event A to occur?


Enter your answer as a number, like this: 42


!!PLEASE HELP ME IM NOT GOOD AT MATH AT ALL!!

Answers

Based on the relative frequency and the number of times the experiment is to be performed, the number of times Event A should occur is 10 times.

How many times should Event A occur?

The relative frequency in this regard is 1/3.

The number of times it will occur can be found as:

= Relative frequency x Number of times event was performed

Solving gives:

= 1/ 3 x 30

= 10 times

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Determine the value of k so that the relation {(2, 5), (k, 0), (–9, 2), (0, –9)} can be a function

Answers

Step-by-step explanation:

in a function every valid values of x has exactly one assigned y value.

in an ordered pair the first number is x, the second number is y.

the y in (k, 0) is therefore 0.

and this y is different to all other y values in the relation.

therefore, k must be different to all other defined x values (otherwise it would give an x value a second y value, which would make this a not-function).

so, k must be an integer not out of {-9, 0, 2}

Hello people ~
factorise: : x^2 – 21x + 108​

Answers

[tex]\\ \rm\rightarrowtail x^2-21x+108[/tex]

Use midterm splitation

[tex]\\ \rm\rightarrowtail x^2-12x-9x+108[/tex]

[tex]\\ \rm\rightarrowtail x(x-12)-9(x-12)[/tex]

[tex]\\ \rm\rightarrowtail (x-9)(x-12)[/tex]

Done!

Help please I'ma giving alot of points if you say something else just to get the points I will report ​

Answers

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

Please help me with this please and thank you

Answers

Answer:

b. [tex]3^{-x}[/tex]

Step-by-step explanation:

(-2, 9)

[tex]f(-2)=3^{-(-2)} =3^{2} =9[/tex]

(-1, 3)

[tex]f(-1)=3^{-(-1)} =3^{1} =3[/tex]

(0 1)

[tex]f(0)=3^{0} =1[/tex]

Hope this helps

A frame contains 4 pounds of gold. suppose gold is worth $1,277 per ounce. how much would the gold in the frame be worth?

Answers

Answer:

$81,728

Step-by-step explanation:

For reference: 1 pound = 16 ounces.

Therefore, 4 pounds of gold must be 16 * 4 = 64 ounces.

Since each ounce is $1,277, we must have the total cost of the gold to be $1,277 * 64 = $81,728.

The key word here is "per", which means to multiply.

Answer:Answer:5,108

Step-by-step explanation:

90 pounds =. Ounces

I need help

Answers

Answer:

1440 ounces

Step-by-step explanation:

there are 16 ounces in a pound so multiply 90 by 16 and you get 1440 hope this helps!

An observer at the top of a building sees a car on the road below. the angle of depression to the car is 28 degrees. If the car is about 50m from the building when it is seen, how tall is the building?

Answers

Answer:

Step-by-step explanation:

The height of the building is: 26.585 m.

What is angle of Depression?

The angle formed by the line of sight and the horizontal plane for an object below the horizontal.

Given:

angle of depression= 28 degree,

distance between car and building= 50m

using trigonometry,

tan 28= P/B

0.5317= P/50

P= 26.585 m

Hence, the height of the building is 26.585 m.

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A sample of 100 students was randomly selected from a middle school in a large city. These participants were asked to select their favorite type of pizza: pepperoni, cheese, veggie, or Hawaiian. pizza preference and gender were recorded for each participant. The results of the survey are summarized in the table

Answers

The variables of the hypothesis test include the favorite type of pizza and the gender

The null hypothesis is Favorite pizza and gender are independent

How to determine the null hypothesis?

From the complete question, the variables that are measured are:

Favorite type of pizzaGender

The null hypothesis of a test used the equality statement.

So, the null hypothesis would be

Favorite pizza and gender are independent

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Write the equation of a line that passes through the point (-4,-5) and is perpendicular to the line y= -1/2x+5

Answers

Answer:

Step-by-step explanation:

First let us determine the perpendicular line by remembering that a perpendicular line that intersects with the current line must have the opposite reciprocal slope as it. Meaning... the current slope is -1/2 and the opposite reciprocal is +2 or 2.

To clarify...

*opposite= the opposite sign ex. the opposite of +3 is -3 and the opposite of -1 is +1

*reciprocal=put simply, the reciprocal is the flipped version of the current number ex. the reciprocal of 1/2 is 2/1 or 2 and the reciprocal of 3 or 3/1 is 1/3

After we determine the slope of the perpendicular line, we are also know the point it must pass through.

Given that, we can find the equation.

Using y=mx+b

Plug in known varibles

y=-5

x=-4

m=2

b=?

-5=2(-4)+b

b=3

So now that we have b, we can put the equation in standard form.

y=2x+3

Hope this helps!!!

Q. If the word problem is asking you to find the space inside the circle, which formula should you use?
answer choices

Answers

Answer:

The last option: bottom right

Step-by-step explanation:

Help!! This is iready will get brainiest!! Please answer!!

Answers

Answer:

C the number of toothbrushes :)

Step-by-step explanation:

You can show how many were given away each month on a dot plot :)

The others would not make sense with the dot plot :)

Haeva great day!

Please rate and mark brainliest!

The function f(x)=4x^(5)-2x^(3)+8x is:

Answers

Answer:

C. Odd

Step-by-step explanation:

If you reflect this function across the y-axis it is not symmetrical, therefore it is not an even function

But, if you rotate this function by 180 degrees, it is unchanged, therefore it is and odd function

please help! pleaseeeeee​

Answers

Answer:

D-27 cm

Step-by-step explanation:

we are given that the top is 8cm

one side is 3..the 2 sides are the same length so total of 6

the bottom is 5, we know the top is 8 so 8-5 =3

the 2 breaks are 1 each

so we do

8 + 5+ 6+ 2+3 =24

PLSSSSSS HELP ME WITH THISS!!!

Answers

The answer is C ! The total would be $59

Answer:

Her total would be $59 so, we would be a dollar extra.

The answer is Yes, the total will be $59.

Step-by-step explanation:

$58 - $18.50 = You need to earn $39.5.

Garden = $6.50 per hour

Cakes = $5.25 per hour

$6.50 X 3 hours = $19.50

$5.25 X 4 hours = $21

$21 + $19.50 = $40.50 totall

$18.50 + $40.50 = $59

ANSWER NOW NEEDS TO BE DONE WITHIN 90 MIN!!!!

What percent of the students received a score below 64, if the mean grade on a test was 70 and the standard deviation was 6.​

Answers

Using the normal distribution, it is found that 15.87% of the students received a score below 64.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 70, \sigma = 6[/tex].

The proportion of students who received a score below 64 is the p-value of Z when X = 64, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{64 - 70}{6}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

Hence, 15.87% of the students received a score below 64.

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I need help please with these 2 problems

Answers

Step-by-step explanation:

1a) =>3(3x+1)/4(3x+1)=3/4

b) => 2x(x+5)/(x+5)²=2x/x+5

2) a raph restriction means that the graph stops where the restriction says. But because the y's are the output of the x's, they only give u the x restriction and then you can calculate the point by finding the y coordinate. This may sound weird but here is an example:

[1,3] => this means the graph will only show between the points 1 and 3 (on the x-as). Both points are included in the graph.

[1,3[ => this means the raph will only show between the points 1 and 3 but 1 is still a part of the graph but not 3 so up till every little number but just not 3.

hope u get it lol

You are going to the mall with your
friends, and you have $200 to spend.
you find a store that has all jeans for
$25 and all shirts for $10. you buy a
total of 14 items. how many of each
item did you buy?

Answers

Answer:3 jeans and 11 shirts with 15 dollars leftover

Step-by-step explanation:

3x25=75

11x10=110

110+75=185

200-185=15

25x4 will make the leftover money higher, so 3 and 11

please help I am confused

Answers

Answer: -5

Step-by-step explanation:

Opposite sides of a parallelogram are parallel, and thus have equivalent slopes.

Explain three key differences between index funds and mutual funds

Answers

The three main differences are management style, investment objective and cost — and index funds are the clear winner.

Sure hope this helps you and pls mark me brainiest!

The main difference between index funds and mutual funds is that index funds seek market-average returns whereas mutual funds tries to outperform the market.

What is index funds?

"Index funds are investment funds that follow a benchmark index, such as the S&P 500 or the Nasdaq 100."

What is mutual funds?

"A mutual fund is a professionally managed investment fund that pools money from many investors to purchase securities. "

"If a mutual fund is active, then it has high fees than index fees."

"The performance of index fund is predictable whereas the performance of active mutual fund is not predictable."

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Tim wants to buy soda. He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle. Which statement is true?

A. The 6-pack contains 0.130 liters more soda.
B. The 2-liter bottle contains 0.130 liters more soda.
C. The 2-liter bottle contains 0.645 liters more soda.
D.The 6-pack contains 0.645 liters more soda.

Answers

The true statement is that the 6-pack contains 0.130 litres more soda.

He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle.

6 pack of 0.355-liter cans. Therefore, let's establish the following proportion.

Proportional relationship

1 pack = 0.355 litre can

6 pack = ?

cross multiply

volume of soda = 6 × 0.355 = 2.13 litres

The 6-pack of 0.355-liter cans  contains 2.13 litres of soda.

difference = 2.13 - 2.00 = 0.13 litres

Therefore, the 6-pack contains 0.130 litres more soda

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