Find the total surface area of the
following square pyramid:
4 cm
6 cm
SA = [?] cm^2
![Find The Total Surface Area Of Thefollowing Square Pyramid:4 Cm6 CmSA = [?] Cm^2](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/fvk1heN1Mv6BeH43etPZ0lLKIx5oPEZ4.png)
Answers
Answer:
Lateral surface area= 48cm^2
Step-by-step explanation:
for anyone who needs the lateral surface area.
The total surface area of the square pyramid with a base side length of 6 cm and a slant height of 4 cm is 84 square centimeters.
We have,
Base side length (s) = 6 cm
Slant height (l) = 4 cm
Area of square = s²
Area of base = 6² = 36 cm²
A square pyramid has four triangular lateral faces with equal area.
The formula for the area of a triangle.
Area of triangle = 1/2 * base * height
Area of lateral surface of the triangle = 1/2 * 6 cm * 4 cm = 12 cm²
Total lateral area = 4 * 12 cm² = 48 cm²
Total surface area = Area of base + Total lateral area
Total surface area = 36 cm² + 48 cm²
Total surface area = 84 cm²
Therefore,
The total surface area of the square pyramid with a base side length of 6 cm and a slant height of 4 cm is 84 square centimeters.
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Related Questions
If a bird can fly 45 feet in 10 seconds, how far will it travel in 50 seconds
Answers
Factor completely 3x2 + 9x − 54.
Answers
6+9x-54
6-54+9x
-48+9x
Answer:
3(x+6)(x-3)
Step-by-step explanation:
3x^2+9x-54
3(x^2+3x-18)
3[(x^2-3x+6x-18)]
3[x(x-3)+6(x-3)]
3[(x+6)(x-3)]
3(x+6)(x-3)
if you were to put 1 dollar in a box each week how much would you have after 9 years?
Answers
Answer:
around $469
Step-by-step explanation:
Answer:
$432
Step-by-step explanation:
There are 4 weeks in every month, & 12 months in a year. 4×12= 48 weeks
48 weeks × 9 yrs= 432
432 × $1= $432
Solve equation by using the quadratic formula.
15 x squared + 22 x = negative 8
a.
x = two-thirds, four-fifths
c.
x = three-halves, five-fourths
b.
x = negative two-thirds, negative four-fifths
d.
x = negative three-halves, negative four-fifths
Please select the best answer from the choices provided
Answers
The solution to the quadratic equation is x = negative two-thirds, negative four-fifths. Option C
How to determine the quadratic solutionFrom the information given, we have that;
15 x squared + 22 x = negative 8
This is represented mathematically as;
15x² + 22x = -8
Equate the quadratic expression to zero, we get;
15x² + 22x + 8 = 0
Find the pair factors of the product of 15 and 8 that sum up to 22. The value is 120
Now, substitute the value into the formula
15x² + 12x + 10x + 8 = 0
Evaluate the equation in pairs, we have;
(15x² + 12x) + (10x + 8) = 0
Factor the common terms
3x(5x + 4) + 2( 5x + 4)= 0
Then, we have;
(3x + 2) (5x + 4) = 0
If 3x + 2 = 0
x = -2/3
If 5x + 4 = 0
x = -4/5
Hence, the values are -2/3 and -4/5
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The common difference of an arithmetic sequence is -5. If a12 is 22, what is a1?
Answers
Answer:
77.
Step-by-step explanation:
an = a1 + (n-1)d where d is the common difference.
a12 = a1 + 11d
22 = a1 +11(-5)
22 = a1 - 55
a1 = 22 + 55
a1 = 77.
The first term of the arithmetic series can be obtained using the relation, A12 = a1 + 11d ; Hence, the first term is 77
To obtain the nth term of an arithmetic series ; use the relation :
An = a1 + (n-1)d a1 = first term d = - 5 A12 = 22The 12th term can be defined as :
A12 = a1 + 11d22 = a1 + 11(-5)
22 = a1 - 55
22 + 55 = a1
a1 = 77
Therefore, the first term of the arithmetic series is 77
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write 1 1/8 miles in 3/8 hour as a unit rate
help pleaseee
Answers
Answer:
3mi/hr , 3 miles per hour or 3mph
Step-by-step explanation:
so you want to find how manu milesin an hour.
first you need to gind how many miles in jsut 1/8 of the hour
so what we have is for 3/8 of an hour so divide what we have by 3
9/8 divided by 3 = 3/8 of a mile in 1/8 of an hour.
multiple this by 8 to get what equals in 1 hr
3/8*8 = 24/8 simplified to 3.
3 miles per hour
Angle 3 and 6 are what kind of angles
Answers
Answer:
Acute
Step-by-step explanation:
Answer:
acute
Step-by-step explanation:
if the angle is less than 90 degrees, it is acute. if the angle is larger than 90 degrees, it is obtuse. if an angle is exactly 90 degrees it is a right angle. angles 3 and 6 are smaller than 90 degrees so they are acute
Pls tell me something this problem solve
Answers
Answer: B 124
Step-by-step explanation:
When you have problems like this, you would add the two angles inside the triangle to get the measurement for the outer angle. so 37 + 87 equals 124.
Perfume is sold in 2 different sized bottles. The 80ml is priced at £55 and 100ml is £67.50. By finding the the price per ml, determine which one is best value for money.
Answers
Answer:
The best value for money is the perfume that has a 100 ml bottle because the price per ml is lower.
Step-by-step explanation:
To find which one is the best value for money, you need to find the price per ml in each case by dividing the price by the amount of ml:
-80 ml: 55/80=0.687
-100 ml: 67.50/100=0.675
According to this, the answer is that the best value for money is the 100 ml bottle because the price per ml is lower with £0.675 per ml and the 80 ml bottle has a price of £0.687 per ml.
Can someone help with this?
Answers
It’s c
Hope this helps and hope you get 100%
2. simplify -4x+99=111
3. subtract 99 from both sides -4x=12
4. divide by -4 on both sides
5.x=-3
6. plug x into the ABD equation -10(-3)+58
7. simplify and your answer is 88
Find the rate of change for
The cost of four movie tickets is $30 and the cost of seven tickets is $52.50.
Answers
Answer: no change, or 0%
Step-by-step explanation:
lcm 4, 7: 28
$210:28 tickets
$210:28 tickets
$210=$210, no change
There are 10 boys and 20 girls in Mrs Brook's class.
Mrs Brook gave all the class a test.
The mean mark for all the class is 60.
The mean mark for the girls is 56.
Work out the mean mark for the boys.
Answers
What is a variables
Answers
Answer:
A variable is a special type of amount or quantity with an unknown value. The opposite of a variable (that is, a known value) is called a constant.
Step-by-step explanation:
can i have brinlest plzz
Mrs riddle has $543.73 in her bank account? She writes a check for $840.00. By how much has she overdrawn her account?
Answers
Answer: im only in middle school so this might be wrong but...
-296.27
Step-by-step explanation:
because
( 80 points and brainliest for correct answer please help) the freezing point of helium is -272℃. the original temperature of a sample of helium is 3℃.
A. how much must the temperature change to ensure that helium freezes?
B. assume the temperature changed at a steady rate for 25 minutes. Using your answer for part A for how much the temperature must change to freeze the helium, write and solve an inequality to determine how much the temperature must change each minute.
Answers
Answer:
1) -275C
2) Less than or equal to -11C/min.
Step-by-step explanation:
Currently, the sample is 3C.
So, in order for our sample to freeze, it must decrease to -272C.
Part A)
So, to find how much the temperature must change, we can subtract the current temperature from the desired temperature.
So:
[tex]-272-3=-275\textdegree C[/tex]
Therefore, the temperature must change by -275C.
The negative tells us that the temperature must decrease by at least 275C in order to ensure that the helium freezes.
Part B)
Let t represent the temperature change per minute.
We know that the change must be -275C or greater.
Therefore, we can write the following inequality:
[tex]25t\leq-275[/tex].
We can divide both sides by 25. So:
[tex]t\leq -11[/tex]
Therefore, it tells us that in order for the helium sample to freeze in 25 minutes, the change in temperature per minute must be less than or equal to -11C.
Mr. Felizardo went to Dunkin Donuts and bought himself and Ms. Heinricher each a coffee. He
also bought 3 donuts for Mr. Thomas which cost $1.25 each. The muffins cost $2.50 each
and only chocolate chip and blueberry were available. Mr. Felizardo spent $6.75 total,
without tax. How much was one coffee?
Answers
Answer:
1.50 dollars is how much the coffee would be
PLEASE ANSWER ASAP What is the slope of the line that goes through the points (-1,4) and (14,-2)?
A.
-13/6
B.
-6/13
C.
-5/2
D.
-2/5
Answers
Answer:
[tex]the \: slope \: of \: the \: line \: is \to \underline {\boxed{- \frac{2}{5} }} [/tex]
Step-by-step explanation:
[tex]the \: slope \: is \: given \: by \to \: \\ m = \frac{y_{2} -y_{1}}{x_{2} - x_{1}} \\ \boxed{but} \: \to\\ (x_{1}, \: y_{1}) = ( - 1, \:4) \\ (x_{2}, \: y_{2}) = (14, \: - 2) \\ m = \frac{ - 2 - 4}{14- ( -1)} = - \frac{6}{15} \\ \underline {\boxed{m = - \frac{2}{5} }} [/tex]
♨Rage♨
The slope is:
-2/5Work/explanation:
We need to use the slope formula:
[tex]\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
where m = slope.
Plug in the data:
[tex]\sf{m=\dfrac{-2-4}{14-(-1)}}[/tex]
Simplify.
[tex]\sf{m=\dfrac{-6}{14+1}}[/tex]
[tex]\sf{m=\dfrac{-6}{15}}[/tex]
Reduce to lowest terms
[tex]\sf{m=-\dfrac{2}{5}}[/tex]
Hence, the slope is -2/5.17. The coordinates of the vertices of ADEF are
D(-3, -2), E(1,4), and F(4,2). Is DEF a
right triangle? Justify your answer.
HELP IS APPRECIATED!!!
Answers
[ you can use my work for more explanation if your teacher wants it done a certain way]
What is the correct range for this given function
Answers
Answer:
d
Step-by-step explanation:
Answer:
B.) [ -4 , INFINITY)
Step-by-step explanation:
X cannot make the equation negative (square root of a negative is out of range)
X must be greater than or equal to -4
-4 < x < INFINITY
[ -4 , INFINITY)
What is the domain of the relation graphed below?
On a coordinate plane, an ellipse intercepts the x-axis at (negative 4, 0) and (4, 0) and intercepts the y-axis at (0, 1) and (0, negative 1).
domain: StartSet x vertical line x belongs to all natural numbers EndSet
domain: StartSet x vertical line x belongs to all real numbers EndSet
domain: StartSet x vertical line negative 4 less-than-or-equal-to x less-than-or-equal-to 4 EndSet
domain: StartSet x vertical line negative 1 less-than-or-equal-to x less-than-or-equal-to 1 EndSet
Answers
Answer:
Domain: {x|-4<=x<=4}
Step-by-step explanation:
Domain reffers to the set of the 1st elements, so the x values. In the image we see the ellipse go through both x and y axis but since the question is asking for domain and NOT range (range meaning y values) we can conclude that we need the x values, those being -4 and 4.
I took the review and got it right
On Edge 2020 it's answer C
Domain: {x|-4<=x<=4}
Answer: C
Step-by-step explanation:
Took the quiz
Which quadrant will be completely shaded by the graph of the inequality y < 3x ?
A Quadrant !
B. Quadrant 11
C. Quadrant III
D. Quadrant IV
Answers
Answer:
ill say c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Which of the following is an EQUATION?
A: 20(p + 2) + 16(-3 - p)
B: -10 + 2
C: 6x + 4 - 2x = 20
D: 9m + 4 - 7m + 4m²
Answers
Answer:
C
Step-by-step explanation:
An equation is where you already have the answer but you have to find out what the variable is to prove that the equation is true.
Louise bought a frame and canvas online for $125. Then she bought all the supplies shown in the table and paid a 7% sales tax on the supplies
only.
Item
Cost ($)
Brushes
12.50
Paint
19.50
She took the amount that she spent on the canvas, frame, and supplies, and marked up the price by 115%. How much did she charge for her
painting? Round to the nearest cent.
Answers
9514 1404 393
Answer:
$342.37
Step-by-step explanation:
When a quantity is marked up by x%, its marked-up price is (1 +x/100) times its original price. Tax is effectively a markup.
Louise's costs are ...
$125 + (12.50 +19.50)(1.07) = $159.24
Louise priced her painting at ...
$159.24·(1 +1.15) = $342.37
19 points
Why did those sympathetic to slavery in Union Border States such as Kentucky and Delaware not support the Emancipation Proclamation?
Answers
Answer:
Those sympathetic to slavery in Union border states, such as Kentucky and Delaware, did not support the Emancipation Proclamation because it granted freedom to slaves if their home southern states did not join the Union by January 1, 1863.
Missouri, Maryland, Kentucky and Delaware were slave holding border states and not in rebellion from the Union so the Proclamation did not effect their slaves. But, the area of the border states were closely linked to the South and held political, economic, geographic, and social connections to the Southern (and Northern) states. This led border states to not support the Emancipation Proclamation.
Step-by-step explanation:
Shirley wants to buy a skateboard for $64. She has $98 in her account. She spent $10.85 to buy stationary. She also wants to buy some cookies for $1.65 each. What is the maximum number of cookies, n, that Shirley can buy so that she has enough money left to buy the skateboard?
n ≥ 14
n ≤ 16
n ≤ 14
n ≥ 16
Answers
Answer:
14 cookies
Step-by-step explanation:
Answer:
Step-by-step explanation:
so first you have to subtract 64 dollars from your balance so $98-$64=$34.
Next you have to subtract $10.85 from your new balance so it would be $34-$10.85=$23.15
Last you have to divide 23.15 by 1.65 because you have to see how many cookies you can afford, so it would be 23.15 divided by 1.65 and the answer is 14. so you can afford 14 cookies
HELP ME PLEASE)*
Factor completely.
Answers
Answer:
Step-by-step explanation:
(x+10)(x-10)
27 less than the product of a number and 5
Answers
Answer:
-22
Step-by-step explanation:
5-27
"27 less than the product of a number and 5"
my answer is: N/5-27
Write the equation for a rational function with a hole at x = 6 and
a vertical asymptote at x = – -5 and at least one zero.
Answers
Answer:
x-6/x²-x-30
Step-by-step explanation:
(x-6)(x+5)
x²-x-30
when you factor out x-6 you have a removable discontinuity and you have x+5 as your denominator and that would be the vertical asymptote since you can have a 0 as your denominator the V.A. would be x = -5.
CAN SOMEONE PLS HELP ME WITH THIS MATH
Answers
Answer:
1. 3) measure of angle 3 and measure of angle 5 are supplementary
2. x=16
Emmy and her sister went together to get haircuts. Emmy got 4 inches cut off and her sister got 1/2 of an inch cut off. Compared to her sister, how much more hair did Emmy get taken off?
