Answer:
The pyramid consists of 4 triangles having bases of 3 km and height of 4 km (measured along the face)
A = 4 * 3 / 2 * 4 = 24 km^2
Each triangle has an area of 1/2 * bottom length * height
3 cannot refer to the length of one of the isosceles triangles because a slant height of 4 km is given and is less than one such side
The surface area of the square pyramid is 24 km².
What is the surface area of a square pyramid with a slant height?The surface area of a square pyramid with a slant height can be determined by the product of the base perimeter with the slant height divided by two.
Mathematically, it can be expressed as:
Surface Area S.A = P × l/2
where;
Side length (a) = 3Base perimeter (P) = 4a = 4(3) = 12kmSlant length (l) = 4 kmSurface Area (S.A) = 12 × (4/2)
Surface Area (S.A) = 24 km²
Learn about calculating the surface area of a square pyramid here:
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4x + 3=10
can someone please help solve for x
Answer:
x = 7/4
Step-by-step explanation:
4x + 3 = 10
4x = 10 - 3
4x = 7
x = 7 ÷ 4
x = 7/4
hope that helps...
Hello there! I am EnjoyingLife, and I hope you find my answer helpful :)
The first step is to subtract 3 from both sides (remember the Golden Rule of Algebra: Whatever we do to one side, we do to the other)
[tex]\tt{4x+3-3=10-3}[/tex]
[tex]\tt{4x=10-3}[/tex]
[tex]\tt{4x=7}[/tex]
Divide both sides by 4 in order to isolate x:
[tex]\tt{x=\frac{7}{4}[/tex]
Hope it helps!
Have an amazing day!
Good luck!
[tex]\tt{EnjoyingLife}[/tex]
Complete the table below. Show all your work.
The guttering hold up to 20 litre of rain water. Work out the length of guttering in meters if the diameter is 11.5cm.
Answer:
1107.0213 cm
Step-by-step explanation:
Assuming this gutter is half a cylinder,
Volume of half a cylinder = 0.5(πr²l)²
where, Volume = 20l, π = 3.142, r = 0.5(11.5) and l = ?
But, the other units are in cm while the Volume is in liters, so let's convert the liters to cm³
It would be easier to convert the liters to m³ then to cm³ rather than converting directly. So,
1000 L = 1 m³
1 L = ?
1 ÷ 1000 = 0.001 m³
1 m³ = 1,000,000cm³
0.001 m³ = ?
0.001 x 1,000,000 = 1000 cm³
So, if 1 L = 1000 cm³
20 L = ?
20 x 1000 = 20,000 cm³
Thus, 20,000 = 0.5(3.142 x 0.5(11.5) x l)
20,000 = 0.5(3.142 x 5.75 x l)
20,000 = 18.0665l
Make l the subject and divide both sides by 18.0665
length = 1107.0213 cm
A bacteria starts with 500 cultures and grows exponentially. The number of bacteria at time t, where t is time in hours, is given by the function g (t)=500•2^2t.
The bacteria multiplies by ____________ every hour.
Answer:
a factor of 4
Step-by-step explanation:
The equation is
[tex]500 (2) {2}^{t} [/tex]
Which can be simplified to
[tex]500 (4) {}^{t} [/tex]
Since 4 is the base, the constant factor is 4.
can some one help
pleassse
Answer:
For the first one, it is
1. C: 3
2.B, 7
3. D, 2
4. A, 0.5
Step-by-step explanation:
Find the arcumierence of the circle
iready area and circumference of a circle
Answer:
72.22
Step-by-step explanation:
C = [tex]\pi \: d[/tex]
3.14×23=72.22
The circumference of a circle whose radius is 11.5 inches.
Thus, option (a) is correct.
Given:
Diameter = 23 inch
So, Radius of circle = diameter/2
=23/2
= 11.5 inch
Now, the formula for circumference of a circle is
= 2πr
Substituting the value of r= 11.5 into the formula as
= 2 x 3.14 x 11.5
= 72.22 inches
Thus, the circumference of circle is 72.22 inches.
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Choose the missing step in the given solution to the inequality −6x − 10 > 14 + 2x. (1 point)
−6x − 10 > 14 + 2x
_______________
-8x>24
x 14
B.) -8x -10 >14
C.)−4x − 10 < 14
D.) −8x − 10 < 14
Answer:
- 8x > 24
Step-by-step explanation:
Given
- 6x - 10 > 14 + 2x ( subtract 2x from both sides )
- 8x - 10 > 14 ( add 14 to both sides )
- 8x > 24 ← required missing step
Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.
x < - 3 ← is the solution
The Pyramid of Khafre measured 143.5
meters high. The Pyramid of Menkaure
measured 65.5 meters high. Write and
solve an equation to find d, the difference
in the lengths of the two pyramids.
Answer:
what are the answers that are given
Step-by-step explanation:
Answer:
I Think you have to subtracted those two number
Step-by-step explanation:.
Sam had some money in his pocket, and he found another $6. 50 in his dresser drawer. He then had a total of $19. 75. Let p represent the amount of money Sam had in his pocket. Which equation can you use to find the amount of money Sam had in his pocket? How much money did Sam have in his pocket?.
Answer:
$26.25Solving steps:
Question: Sam had some money in his pocket, and he found another $6. 50 in his dresser drawer. He then had a total of $19. 75. Let p represent the amount of money Sam had in his pocket. Which equation can you use to find the amount of money Sam had in his pocket? How much money did Sam have in his pocket?.
Find: How much money did Sam have in his pocket?.
Solution: Let the equation be
=> P = T +Fp represent amount of money
p represent amount of moneyt represent total
p represent amount of moneyt represent totalf represent money found
=> P = T + Finsert the values
=> P = $19.75 + $6.50add 19.75 from 6.50
=> P = 26.25THEREFORE THE AMOUNT OF MONEY SAM HAVE IN HIS POCKET IS ABOUT $26.25
Answer:
p + 6.5 = 19.75
Step-by-step explanation:
i got it correct
I need help with this
Answer:
Step-by-step explanation:
1- angle JZF
supplementary angle or straight angle =180 degree
HZJ+JZF=HZF straight angle
2- JZA
complementary angle or right angle =90 degree
HZJ+JZA=HZA ( right angle)
if angle HZJ=38 degrees
HZJ+FZJ=180
FZJ=180-38
FZJ=142 degreesHZG+HZJ=180
HZG=180-38=142 degrees ( which is vertical angle to FZJ and equal to it)
HZG=142 degrees
AZJ+HZJ=90 degrees
AZJ=90-38
AZJ=52 degrees
Heidi wants to buy a bike.She has already saved $57 and plans to save $12 per week.Consider the following information: y=12x+57 x= the number of weeks y= the total money saved .Which of the following statements is TRUE
Answer:
It will increase by 12 every week, 57 is just what she already had, or in slope-intercept form, 57 is b
Step-by-step explanation:
I need help on this question
Answer:
fg and Ab ex a=b +G=fa none of the aboveIn Xavier's grade, there are 100 students. Currently, 90% of them are enrolled in health. How
many students are enrolled in health?
Answer:
90
Step-by-step explanation:
Conversion from percent to decimal: x% = 0.01x
90% of 100 is equal to 0.9 * 100 = 90
Hope this helps
Answer:
90
Step-by-step explanation:
because it is 100 so percent is same
If mZ1 = 53° and mZ2 = 71°, find m24.
Answer:
53
Step-by-step explanation:
help me I don't know how to do this
Answer:
3 sketch oads and 2 pencil
Step-by-step explanation:
I hope this can help you
someone please help me, I will give brainliest
find the indicated side of the triangle
Answer:
28√2
Step-by-step explanation: i promise its the answer.
Answer:
28
Step-by-step explanation:
Its the top part for the number
2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For
<en place.
the first three hours of typhoon, the rain fell at a constant rate of 25mm per hour.
The typhoon slows down for an hour and started again at a constant rate of 20 mm
per hour for the next two hours. Write a piecewise function that models the amount
of rainfall as function of time.
Answer:
The piecewise equation is given as :[tex]A(t)=\begin{cases} 25x& \text{ if } 0 \leq x \leq 3 \\ 75& \text{ if } 3<x<4 \\ 75+20(x-4) & \text{ if } 4 \leq x \leq 6\end{cases}[/tex]
Step-by-step explanation:
Let x be the time in hour and A(x) be the amount of accumulating rainfall at time x.
We are given that in the first three hours the rain fell at a constant rate of 25mm per hour
Amount of rainfall in 1 hour = 25
Amount of rainfall in t hours = 25x
[tex]A(x) = 25x ; 0 \leq x \leq 3[/tex]
The rain then slows down and remains constant
So, Amount of rain for that hour = [tex]25 \times 3 = 75 mm[/tex]
75 mm ; 3
Now we are given that started again at a constant rate of 20 mm per hour for the next two hours.
Amount of rain after 4 hours = [tex]75+20(x-4) ; 4 \leq x\leq 6[/tex]
The rain increases at a rate of 20t from 4 ≤ x ≤ 6.
Hence the piecewise equation is given as :[tex]A(t)=\begin{cases} 25x& \text{ if } 0 \leq x \leq 3 \\ 75& \text{ if } 3<x<4 \\ 75+20(x-4) & \text{ if } 4 \leq x \leq 6\end{cases}[/tex]
Evaluate for a = 2 and b = 3.
(a + b)2
[tex]\sf\fbox\red{Answer:-}[/tex]
(2+3)²
=(5)²
=25
[tex]\small\fbox{\blue{\underline{mαrk \; mє \; вrαínlíєѕt \; plєαѕє ♥}}}[/tex]
Given line m is parallel to line n. What theorem or postulate justifies the statement? ∠1 ≅ ∠4 Corresponding angles postulate Alternate interior angle theorem Linear Pair postulate Vertica
Answer:
corresponding angles postulate
Step-by-step explanation:
just took the test ;)
Answer: Corresponding angles postulate
what is 360 divided by 12
Answer:
30
Step-by-step explanation:
use calculator LOL
360 divided by 12 is 30.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Dividend=360
Divisor=12
Now
=360/12
=30
Therefore, by algebra answer will be 30.
More about the Algebra link is given below.
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For every 3 tickets you sell, your friend sells 4. You sell a total of 12 tickets. How many does your friend sell? Complete the ratio table to solve the problem.
Step-by-step explanation:
Total tickets I sell =12
For every 3 tickets I sell, my friend sells 1 more.
I sell 12/3 (=4)sets of 3 tickets.
So, my friend sells 12 +4 (=16)tickets.
Pls answer the question attached.
I WILL MARK U BRAINLIST
Answer:
[tex](x + 5)(a + 3b) \\ \\ = a(x + 5) + 3b(x + 5) \\ \\ = ax + 5a + 3bx + 15b[/tex]
# Jerry Don is here#
I need help before the test time runs out in like 4 min.
The table below shows the salary Jamal earned working at his new job. How much does Jamal earn per hour?
Hours Money Earned
4 $51.00
8 $102.00
12 $153.00
Group of answer choices
$12.75
$10.25
$11.50
$14.50
Answer:
12.75
Step-by-step explanation:
Answer:
12.75
Step-by-step explanation:
4H=51$
1H=?
u will find it when u criss-cross it
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
Y= 30(1.003)^x
For the given exponential function, the change represents a growth and the percentage rate is 0.3%.
Exponential FunctionThe formula for the exponential function is:
[tex]y(t)=y(0)*(1+R)^t[/tex], where:
y(t)= final value
yo=initial value
R=rate
t= time
When 1+R > 1, the equation represents growth, while 1+R < 1 the equation represents decay.
The question gives: [tex]y=30*(1.003)^x[/tex].
When you compare [tex]y=30*(1.003)^x[/tex]with [tex]y(t)=y(0)*(1+R)^t[/tex], it is possible to see:
1. 1+R=1.003, so >1 . Therefore, the change represents growth.
2. 1+R=1.003 , therefore,
1.003=1+R
R=1.003-1
R=0.003
then,
%R=0.003*100=0.3%
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John runs 18 miles in 4 hours. How many miles can John run per hour?
Answer:
4.5 miles per hour
Step-by-step explanation:
you start with 18 = 4x
divide both sides by 4
and you get x = 4.5
ASAP I JUST WANT THE ANSWER
Select the correct answer.
Circle M dilated by a scale factor of 3 gives circle N. If the circumference of circle N is 6 cm, what is the circumference of circle M?
A.
54 cm
B.
3 cm
C.
2 cm
D.
18 cm
Step-by-step explanation:
2 cm
scale factor of 3
then 6/3 = 2 cm
Answer:
C. 2 cm
Step-by-step explanation:
As the circumference is a measure of length (one dimension), we can simply divide the given circumference of circle N by the scale factor to find the circumference of circle M:
⇒ circumference of circle M = circumference of circle N ÷ scale factor
= 6 cm ÷ 3
= 2 cm
(If we were working with area, we would have to divide/multiply by the square of the scale factor, since we would be working in 2 dimensions)
the axis of symmetry of a parabola does not always contain which point?
A) maximum or minimum
B) vertex
C) midpoint of the x-intercepts
D) y-intercept
Simplify (-3.7x) x (5.1y)
Answer:
-18.87xy
Step-by-step explanation:
[tex]\left(-3.7x\right)\left(5.1y\right)[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]
[tex]=-3.7x\cdot \:5.1y[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3.7\cdot \:5.1=18.87[/tex]
[tex]=-18.87xy[/tex]
~Learn with Lenvy~
use the net to find the surface area of the prism.(not drawn to scale)
ANSWERS:
268 m
402.62 m
725.32 m
853 m
Answer:
402.62
I used a surface area for a right triangular prism calculator
savannah loves to talk on her cell phone. she has $100 in her budget to pay this months cell phone bill. $20 per month plus $0.10 per minute of usage. what is the maximum number of minutes she can talk this month?