Answers
The surface area of a square pyramid is equal to: B. 64 m².
How to calculate the surface area of a square pyramid?In Mathematics, the surface area of a square pyramid can be calculated by using this mathematical equation:
Surface area of square pyramid = [tex]a^2+2a\sqrt{(\frac{a}{4})^2 +h^2}[/tex]
where:
a represents the base edge of a square pyramid.h represents the height of a square pyramid.For the height, we have:
6² = h² + (4/2)²
36 = h² + 4
h² = 32
h = √32
Height, h = 5.7 m.
By substituting the given side lengths into the formula for the surface area of a square pyramid, we have the following;
Surface area of square pyramid = [tex]4^2+2(4)\sqrt{(\frac{4}{4})^2 +5.7^2}[/tex]
Surface area of square pyramid = [tex]16+8\sqrt{(1 +32)}[/tex]
Surface area of square pyramid = 64.33 ≈ 64 m².
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Related Questions
The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 22 meters and its length is 2 meters more than twice its width. 0
Answers
Answer:
Length = 6.5 meters
Width = 4.5 meters
Step-by-step explanation:
Given,
Perimeter of a rectangle is twice the sum of it's length and width.
Length is 2 meters more than twice its width, let the length be x meters so the width becomes (x-2) meters
perimeter of the rectangle,
2{x+(x-2)} meters which is 22 meters (given)
so,
2{x+(x-2)}=22
or, 2(x+x-2)=22
or, 2(2x-2)=22
or, 2x-2=11
or, 2x=13
or, x=6.5
so the length is 6.5 meters and the width is 6.5-2 = 4.5 meters.
Answered by GAUTHMATH
A computer network manager wants to test the reliability of some new and expensive fiber optic Ethemet cables that the computer department just received . The computer department received 10 boxes containing 50 cables each The manager does not have the time to test every cable in each box The manager will choose one box at random and test 10 cables chosen randomly within that box What is the population
Answers
Answer: 500 cables
Step-by-step explanation:
The population refers to the individuals or the items which are of interest fltonthe researcher during an experiment.
Since the computer department received 10 boxes containing 50 cables each, then the population will be gotten as:
= 10 × 50
= 500 cables
Find the gradient of the line y= -4x + 5
Answers
Answer:
m = -4
Step-by-step explanation:
The given y= -4x + 5 exactly matches the format of the slope-intercept equation y = mx + b.
Thus, the gradient (slope) of the given line is -4.
Semi easy-which boxplot represent the 5 number summary
Answers
WILL MARK BRAINLIEST!!!!!find the length of AC
Answers
Answer:
20
Step-by-step explanation:
a²+b²=c²
25²-15²=b²
625-225=b²
400=b²
√400=√b²
20=b
Find 5 rational numbers between 6 8 and 7 2
Answers
Answer:
Step-by-step explanation:
Five rational number from 68 to 72
69, 70 , 71, 71.1 , 71.2
They are selling lollipops for $0.50 and candy bars for $1.50
Lydia buys 6 lollipops and some candy bars.
If she spends $15.00 in total, how many candy bars, b, did Lydia buy?
Answers
If you times 6 by 50 then you get $3.00 that is the answer for the lollipop you have to minus $15.00 by $3.00 which is $12.00
Can someone help me? It's urgent and thank you!
Answers
Answer:
-6 and -1
Step-by-step explanation:
The excluded values are the values of x that satisfy [tex]2x^{2} + 14x + 12 = 0[/tex]
Let us solve the equation [tex]2x^{2} + 14x + 12 = 0[/tex]
It's a quadratic equation
Thus, let us calculate the discriminant Δ
Δ [tex]= 14^{2} - 4 .2.12 = 100[/tex]
the discriminant is greater than 0, so the equation has two solutions
[tex]x = \frac{-14 - 10}{4} = \frac{-24}{4} = -6[/tex] or [tex]x = \frac{-14+10}{4} = \frac{-4}{4} = -1[/tex]
the excluded values are -6 and -1
Find the volume of the prism
Answers
Answer:
440cm³
Step-by-step explanation:
Area of trapezium base=
[tex] \frac{1}{2} \times (a + b) \times h[/tex]
[tex] \frac{1}{2} \times (8 + 14) \times 4[/tex]
[tex] \frac{1}{2} \times 22 \times 4 \\ = \frac{88}{2} \\ = 44 {cm}^{3} [/tex]
Volume=Area or trapezium x Height between trapezium ends
[tex] = 44 \times 10 \\ = 440 {cm}^{3} [/tex]
PLZZZ HELLPPPPP!!!!!!!! Simplify: 5!
Answers
120 is the correct answer
Answer:
120
Step-by-step explanation:
The ! denotes a factorial, 5! is simply:
5 * 4 * 3 * 2 * 1 = 120
ANSWERR ASAP PLSSS PLLSSS I BEGGG YOUUU
Answers
Answer:
(5/1)(4-0)-(-5)(-4-3)
Step-by-step explanation:
You could also get an undefined number by putting any number divided by 0.
i’ll give you what eva you like
Answers
Answer:
Number of additional inches= x
Number of additional topping= y
Total cost= 8+1.5(x)+0.75(y)
cost of pizza= 8+1.5x+0.75y-----------------------
hope it helps...
have a great day!!
Lin decides to solve the equation using the quadratic formula. Here is her work: xxx=−b±b2−4ac−−−−−−−√2a=−(−6)±(−6)2−4(1)(10)−−−−−−−−−−−−−√2(1)=6±36−40−−−−−−√2 Lin knows 36−40 is a negative number and isn't sure what to do next. Show how Lin can write her solution using i.
Answers
Answer:
[tex]x = 3 + i\ or\ x = 3 - i[/tex]
Step-by-step explanation:
Given
[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]
Required
Solve, in terms of i
We have:
[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]
Solve the expressions in bracket
[tex]x = \frac{-(-6) \± \sqrt{36 - 40}}{2*1}[/tex]
[tex]x = \frac{-(-6) \± \sqrt{-4}}{2}[/tex]
Express -4 as 4 * -1
[tex]x = \frac{-(-6) \± \sqrt{-4*1}}{2}[/tex]
Split
[tex]x = \frac{-(-6) \± \sqrt{4}*\sqrt{-1}}{2}[/tex]
In complex numbers;
[tex]i = \sqrt{-1[/tex]
So, we have:
[tex]x = \frac{-(-6) \± 2*i}{2}[/tex]
[tex]x = \frac{6 \± 2i}{2}[/tex]
Factorize
[tex]x = \frac{2(3 \± i)}{2}[/tex]
[tex]x = 3 \± i[/tex]
Split
[tex]x = 3 + i\ or\ x = 3 - i[/tex]
In the graph above, what's the distance between (0, 2) and (5, 2)? Question 16 options: A) 2 units B) 5 units C) –5 units D) 4 units
Answers
Answer:
B) 5 units
Step-by-step explanation:
The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.
What is the distance between two points?It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The two pints are given below.
(0, 2) and (5, 2)
Then the distance between these points (0, 2) and (5, 2) will be given as,
D² = (5 - 0)² + (2 - 2)²
D² = 5²
D = 5 units
The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.
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need help ASAP thank you :)
Answers
Select the correct answer.
A triangle with vertices at A(0, 0), BIO, 4), and C16, 0) is dilated to yield a triangle with vertices at Ato, O), BIO, 10), and C[15, 0). The origin is the center of dilation. What is the
scale factor of the dilation?
OA 1.5
OB.
2
OC. 2.5
OD. 3
Answers
Answer:
c. 2.5
Step-by-step explanation:
4×2.5 => 10
6×2.5 => 15
so scale factor = 2.5
Luanne recorded the favorite sport of students at her school. She surveyed 200 students. How many students chose Tennis?
Answers
Answer:
20 students
Step-by-step explanation:
Given that
There are 200 students surveyed
And, the percentage of each games is as follows;
For tennis it is 10%
For basketball it is 30%
For football it is 35%
for baseball it is 25%
We need to find the number of students choose tennis
So, it should be
= 10% of 200
= 20 students
Which phrase describes the variable expression 11 • X?
O A. 11 decreased by x
OB. 11 increased by x
C. The produqt of 11 and x
odust
O D. The quotient of 11 and x
SUBA
Answers
Answer:
B or C
Step-by-step explanation:
if its refering to the answer of 11 × X then the answer is C, but if its not the answer might be B.
assssssssssssssssssssssssssssssssss
Answers
Answer:
15, 9, 3n
Step-by-step explanation:
Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls
Answer:
What math game is this?
Oh and this guy is correct.
Step-by-step explanation:
hey again can u help me with this
Answers
Answer:
option C
Step-by-step explanation:
We will take 2 coordinates from the graph and Find the equation of the line.
Let the coordinates be : ( 0, 1) and (1, 3)
step 1 : find slope
[tex]slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2[/tex]
Step 2 : equation of the line :
[tex]( y - y_1) = m (x- x_1)[/tex]
[tex](y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1[/tex]
Therefore, y = 2x + 1 represent the equation of the line.
Answer:
C
Step-by-step explanation:
You need to solve for y = mx + b
You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have
y = mx + 1 so far.
Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.
The clearest point I can see is (-2,-3) which means that
x = -2
y = - 3
Put that into the equation and solve for m.
-3 = m(-2) + 1 Subtract 1 from both sides
-3-1 = m(-2) Combine
-4 = -2 m Divide both sides by - 2
-4/-2 = m
m = 2
Answer
only a and c are real choices. That's because m = 2 in both cases.
The equation we got is y = 2x + 1 which is c
The low temperatures for four nights in December for a city are recorded below.
−4°, 1°, 3°, −2° Which lists the temperatures in the correct order from coldest to warmest?
A) −4°, −2°, 1°, 3°
B) 1°, −2°, 3°, −4°
C) −2°, −4°, 1°, 3°
D) −4°, 3°, −2°, 1°
Answers
Answer:
the answer is A
Step-by-step explanation:
its because -4 is the coldest and 3 is the warmest out of the rest
HI I NEED THE ANSWER TO THESE ASAP! I have 5 minutes...
Find the measure of each missing angle
Answers
Answer:
Step-by-step explanation:
m3= 29%
m6= 35%
m7= 90%
What is the factorization of the trinomial below?
2x2 + 11x + 12
O A. (2x + 1)(x+12)
O B. (2x+3)(x + 4)
O C. (2x + 4)(x+3)
O D. (2x+6)(x + 2)
Answers
Answer:
O B. (2x+3)(x + 4)
Step-by-step explanation:
[tex]2x^{2} +11x+12[/tex]
[tex]2x^{2} +8x+3x+12[/tex]
[tex]2x(x+4)+3(x+4)[/tex]
[tex](2x+3)(x+4)[/tex]
Is the point (15,29)on the line y = 2x-3?
Answers
Answer:No
Step-by-step explanation: It is on 3x-3
The point (15, 29) does not satisfy the line y = 2x - 3, and the point (15, 29) is not lying on the line.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have a line:
y = 2x - 3
If the point (15, 29) is on the lie then it must satisfy the line.
Therefore putting this point in the equation of the line.
Put x = 15, and y = 29, we get:
29 = 2×15 - 3
= 30 - 3
29 ≠ 27
29 cannot be equal to 27 it means the point (15, 29) does not satisfy the line and the point is not lying on the line.
Thus, the point (15, 29) does not satisfy the line y = 2x - 3, and the point (15, 29) is not lying on the line.
Learn more about the linear equation here:
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does anyone know how to do this? MATH ANSWERS ONLY
Answers
Answer:
34.2 ; 105.8 ; 12.0
Step-by-step explanation:
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
c² = a² + b² - 2abcosC
~~~~~~~~~~~~
sinB = [tex]\frac{bsinA}{a}[/tex]
sinB = 7sin40° ÷ 8 ≈ 0.562439
m∠B ≈ 34.2°
m∠C = 180° - ( 40° + 34.2° ) = 105.8°
c² = 8² + 7² - 2(8)(7)cos106° ≈ 143.87
c ≈ 12.0 units
What is the area of the sector that is not shaded?
0 12 tt units
O 24 tt units?
0 120rt units
O 144rt units?
Answers
The area of the sector that is not shaded is 120π units²
Option C is the correct answer
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is pir^2.
We have,
The circle has 360°.
This can be written as,
Area = πr² x 360/360
Now,
The area of the not-shaded part has (360 - 60)°
So,
Area = πr² x 300/360
Now,
r = 12 units
Area = π x 12 x 12 x 300/360
Area = 120π units²
Thus,
The area of the sector that is not shaded is 120π units²
Learn more about circle here:
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please help with this
Answers
Answer:
Table A
Step-by-step explanation:
None of the numbers in the x values are repeating
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating 20% tip on a bill or 67.13
Answers
Answer:
$13.4
Step-by-step explanation:
Given that :
Tip percentage = 20%
Amount of bill = $67.13
Rounding the bill Amount to then nearest dollar :
$67.13 = $67
Tip amount = 20% of $67
Tip amount = 0.2 * $67
Tip amount = $13.4
88 POINTS!! I WILL MARK BRAINLYIST FOR CORRECT ANSWER, I NEED HELP!!!
1. Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
2. Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.
3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4. Test the residuals of two other points to determine how well the line of best fit models the data.
5. Use the line of best fit to help you to describe the data correlation.
6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
7. According to your line of best fit, what is the arm span of a 74-inch-tall person?
Answers
.................................................................................
please help i dont understand this
Answers
Answer:
yeah me too
Step-by-step explanation:
