Answers
Answer:
The height of the square pyramid is 9.8 in.
Step-by-step explanation:
Given;
area of the square pyramid, A = 96 in²
base length, a = 4 in
height of the pyramid, h = x in
The surface area of the pyramid is calculated as follows;
[tex]SA = a^2 + 2a \sqrt{\frac{a^2}{4} + h^2} \\\\96 = 4^2 + 2(4)\sqrt{\frac{4^2}{4}+ x^2} \\\\96 = 16 + 8\sqrt{4+ x^2} \\\\96-16 = 8\sqrt{4+ x^2}\\\\80 = 8\sqrt{4+ x^2}\\\\\frac{80}{8} = \sqrt{4+ x^2}\\\\10 =\sqrt{4+ x^2}\\\\ (10)^2 = 4+ x^2\\\\100 = 4 + x^2\\\\ x^2 = 100-4\\\\x^2 = 96\\\\x = \sqrt{96} \\\\x = 9.80 \ in[/tex]
Therefore, the height of the square pyramid is 9.8 in.
Related Questions
Can someone please help me? I don't understand how to do this. I need to multiply this polynomial 3(X-2)^4. Also, the ^4 means the power of 4, or exponent 4.
Answers
Answer:
do you need a graph of it or it just multiplied out step by step?
Answer:
3x^4-24x^3+72x^2-96x+48
Step-by-step explanation:
1. (x-2)^4
=(x-2)(x-2)(x-2)(x-2)
=x^4-8x^3+24x^2-32x+16
2. 3(x^4-8x^3+24x^2-32x+16)
=3x^4-24x^3+72x^2-96x+48
Find the Value of x.
Answers
The length of a planet's orbit around a star is approximately 16,340,000 km. It takes the planet about 810 Earth days to complete a full orbit. What is the planet's average speed in kmh-1 to 3sf? HELP
Answers
Answer:
841 kmh-1
Step-by-step explanation:
speed = distance / time
time = 810 x 24 = 19440
16,340,000 km / 19440 = 840.535
Sydney currently earns 11.50 an hour working part time. What is the minimum increase per hour she needs to at least match the average annual rate of inflation at three percent
Answers
Answer:
The salary of Sydney to meet the loss due to inflation should be 11.85 per hour
Step-by-step explanation:
The inflation rate is 3%
This means that the alary amount will reduce by 3%.
3% of Sydney's hourly salary is
[tex]\frac{3}{100} *11.50[/tex] = 0.345
Hence, the new salary must increase by 0.345 dollar per hour
The salary of Sydney to meet the loss due to inflation should be 11.50 + 0.345 = 11.845 or 11.85
Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.
375, 350, 400, 375, 375, 425, 350, 125, 400
I swear I get so confused with these-
Answers
Answer:
125 is an outlier
125 changes the mean by 23 points (from 375 to 352)
Step-by-step explanation:
an outlier is 1.5 times the IQR
the InterQuartile Range of this set of data is 400-350 or 50
50 x 1.5 = 75
the only data value that is 75 points from the IQR is 125
Please help me!!!! The problem is down below.
Answers
Answer:
3:2
Step-by-step explanation:
lisa has 36 stickers, and john has 24, making the ratio 36:24, since they are both devisable by 12, you would get 3:2
Answer:
3:2
Step-by-step explanation:
I forgot how to solve multistep equations. Let me explain, I forgot how to solve the equations that are like x + 36 = 4x, I don't understand it, Help?
Answers
1. Valerie's monthly income is $300 and her monthly expenses are $250. How much money
could Valerie save in the next eight months without changing her income or expenses?
Answers
Answer:
$400
Step-by-step explanation:
Hiooo! I need help could someone help please❤️ :D
Answers
Answer:
The answer is D, sqrt(41)in.
Step-by-step explanation:
The question is asking about the hypotenuse L. You can get that by using the Pythagorean Theorem( a^2+B^2=C^2). You can get the bottom length of the triangle by dividing 8 by 2, because the triangle is made from the top point of the pyramid. You can there do 5^2+4^2, which is 41. You then need to take the square root of that, or [tex]\sqrt{41}[/tex].
Answer:
Hello! Your answer would be, D) [tex]\sqrt{41} in.[/tex]
Step-by-step explanation:
Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥
HRLPPPPP IM FAILING MATHH
Answers
B=50.27 cm
V=371.97
You have a picture that is 4 inches wide by 6 inches long. You want to reduce it in size to fit a frame that is 1.5 inches wide. How long will the reduced photo be?
Answers
Answer:
2.25
Step-by-step explanation:
A picture is 4 inches 6 inches long
The length at which it would be reduced to can be calculated as follows
6/x= 4/1.5
Cross multiply
4x= 9
x= 9/4
= 2.25
Hence the length would be reduced by 2.25
KHAN ACADEMY..... AGAIN..
Answers
Answer:
x = 12
Step-by-step explanation:
10x+24 = 6x+72
10x - 6x = 72 - 24
4x = 48
x = 12
Answer:
144
Step-by-step explanation:
10x+24=6x+72
-6x -6x
4x+24=72
-24 -24
4x=48
/4 /4
x=12
<A=10(12)+24
<A=120+24
<A=144
Directions: Find the odds and the probability of the event(s) occuring.
You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a two.
Plone and then two) =
Odds =
Answers
Answer:
1/36
Step-by-step explanation:
Is d = -4 a solution to the equation 3(d + 12) = 8 - 4d ?
Answers
3(d+12) =8
Distribute the 3.
3d+36=8
Subtract the 36.
3d = -28
Divide by 3 to isolate d.
d = -28/3 or 9.33
SOMONE PLS HELP ME IVE BEEN MAKING ALT ACC FOR THE PASS 10 MINS TRYING TO GET HELP i need a answer and to explain D:!!! pls help!!!
Answers
Answer:
6:18
Step-by-step explanation:
9 + 5+ 4=18
since they said magenta vs rest of them not vis versa we have to arrange it magenta on the left other markers on the right
6:18
Answer:
B. 4 to 1
6
Step-by-step explanation:
Which would NOT be included on an income statement for the Best Brand Company? A. Projected Profit b. Net Sales c. Cost of Goods d. Operating Expenses Please select the best answer from the choices provided A B C D
Answers
Answer:
Option A
Step-by-step explanation:
The income statement comprises of income made in a given year.
It never gives details of the target income or the income projected.
Hence, projected profit will not be included in the income statement. Rest all other options i,e Net Sales c. Cost of Goods d. Operating Expenses are the actual income and expenditure components that are included in a income statement
Option A is correct
Answer:A
Step-by-step explanation:I just took the test
Use the Zero Product Property to solve the equation (x – 5)(x + 4) = –14.
Answers
Answer:
x = 3 or x = -2
Step-by-step explanation:
(x - 5)(x + 4) = [tex]x^{2} - x - 20[/tex] = -14
[tex]x^{2} - x -6 = 0[/tex]
(x - 3)(x + 2) = 0
x = 3 or x = -2
Mackenzie's business trip included driving to a conference that was 470 miles away. If she averaged 55 miles per hour, how long did it take her to get to the conference?
Answers
Answer:
About 8.5 hours
Step-by-step explanation:
Divide the total number of miles by the number of miles driven per hour. 470 divided by 55 is about 8.5, so it took her about 8.5 hours to get to the conference.
Use the system of two linear equations to answer the question. 2x+5y=4 y=2x+8 Which of the following statements is correct about the solution of the system? A The x-coordinate is 2. B The x-coordinate is -3. C The y-coordinate is -3. D The y-coordinate is 5.
Answers
2x + 10x + 40 = 4
12x = -36
x= -3
So it’s B
The number (6) is what type
of number?
Answers
Answer:
even?
Step-by-step explanation:
I dont really get it
Answer:
Natural number, Composite number, Smallest perfect number
Step-by-step explanation:
Hope this helps!
Ethan has packed 6 shirts, 4 pairs of pants and 2 pairs of shoes for vacation. How many possible outfit combinations does Ethan have for his trip?
4
48
12
6
Answers
Answer:
Ethan can make 48 possible combinations.
Step-by-step explanation:
Given that Ethan has packed 6 shirts, 4 pairs of pants and 2 pairs of shoes for vacation, to determine how many possible outfit combinations does Ethan have for his trip the following calculation must be performed:
Shirts x pants x shoes = Number of combinations
6 x 4 x 2 = X
24 x 2 = X
48 = X
Therefore, Ethan can make 48 possible combinations.
Answer:
48
Step-by-step explanation:
I took the test and got it right
Evaluate the expression shown below and write the answer as a fraction in simplert form.
Answers
Answer:
-8/19
Step-by-step explanation:
-11/19 + 3/19
Since the denominators are the same, we add the numerators
(-11+3) /19
-8/19
how many times does 10 go into 2000
Answers
2000/10=200
The answer is 200 times
You Have Tiangle XYZ with X(-7,-9), Y(-10,-3), and Z(-1,-9) After a 90 Degree Counterclockwise rotation, what is the new coordinate of Z'?
Answers
Answer:
Z'(9, - 1)
Step-by-step explanation:
For a 90 degree counterclockwise rotation about the origin,
The original coordinates of point P (x,y) will now be positioned as P' (-y,x).
Hence, given :
Triangle XYZ with X(-7,-9), Y(-10,-3), and Z(-1,-9)
The new position of Z denoted as Z' will be :
Z(-1, - 9) ; X = - 1 ; y = - 9
-y = - - 9 = 9
x = - 1 will remain as - 1
Z(-1, - 9) - - - > Z'(9, - 1)
A rectangle 9cm long is equal on area to a square which has a perimeter of 24cm. find the width of the rectangle
Answers
Answer:
the width is 64cm
Step-by-step explanation:
24 x 24 = 576
576 ÷ 9 = 64
Find the measure of the exterior angle.
Answers
[tex] \huge{ \mathfrak{ Answer }}[/tex]
Exterior angle = sum of opposite interior angles,
so,
[tex] \boxed{(t + 10 )+( t )= 180-(t + 20)}[/tex]
[tex]2t + 10 = 180 - t - 20[/tex][tex]2t + t = 160 - 10[/tex][tex]3t = 150[/tex][tex]t = 50[/tex]value of t = 50°
[tex] \boxed{Exterior \: \: angle = 180 -(t + 20)}[/tex]
[tex]180 - (50 + 20)[/tex][tex]180 - 70[/tex][tex]110°[/tex]measure of exterior angle is 110°
[tex] \normalsize{ \#TeeNForeveR}[/tex]
Please help fast if appreciate it
Answers
Answer:
In 30 days the rainfall level will be 30 × (2.3 +- 0.05 mm) or 69.0 +- 1.5 mm
If you get $0.75 everyday for 7 years and already have $4.35 (not counting leap years) how much money would you have at the end of it all?
Answers
Step-by-step explanation:
7 years
leap years in 7 years:- 1
7 minus 1 equals to 6
6 calendar years to days:- 2190 days
so, $0.75 times 2190 = $1642.5
1642.5 plus $4.35 equals to 1646.85
Radioactive technetium-99m is often used in diagnostic medicine because it has relatively short half-life but lasts long enough to get the needed testing done on the patient. If its half-life is 6 hours, how much of the radioactive material from a 2.5ml injection will be in the body in 30 hours? Write your answer rounded to nearest hundredth.
Answers
Using an exponential function, it is found that 0.08 ml of the will be in the body in 30 hours.
The amount of a decaying substance is modeled by an exponential function in the following format:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which:
A(0) is the initial amount.k is the decay rate, as a decimal.In this problem, the half-life is 6 hours, which means that [tex]A(6) = 0.5A(0)[/tex], and this is used to find k.
[tex]A(t) = A(0)e^{-kt}[/tex]
[tex]0.5A(0) = A(0)e^{-6k}[/tex]
[tex]e^{-6k} = 0.5[/tex]
[tex]\ln{e^{-6k}} = \ln{0.5}[/tex]
[tex]-6k = \ln{0.5}[/tex]
[tex]k = -\frac{\ln{0.5}}{6}[/tex]
[tex]k = 0.11552453009[/tex]
Hence:
[tex]A(t) = A(0)e^{-0.11552453009t}[/tex]
2.5 ml injection, hence [tex]A(0) = 2.5[/tex]
After 30 hours, we have to find A(30), hence:
[tex]A(t) = 2.5e^{-0.11552453009t}[/tex]
[tex]A(30) = 2.5e^{-0.11552453009(30)}[/tex]
[tex]A(30) = 0.08[/tex]
0.08 ml of the will be in the body in 30 hours.
A similar problem is given at https://brainly.com/question/16984805
HELP PLS‼️‼️‼️‼️‼️‼️‼️‼️
Answers
Answer:
64 sq cm
Step-by-step explanation:
divide the shape into a 6x8 rectangle and a 4 x 8 triangle
6x8=48
.5x4x8=16
48+16=64