Answers
Given:
A square base pyramid with base length 6 cm and the slant height is 4 cm.
To find:
The lateral surface area of the given square pyramid.
Solution:
The lateral surface area of the given square pyramid is equal to the areas of 4 congruent triangles with base 6 cm and height 4 cm.
Area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
So, the area of one triangle or one side of the given pyramid is:
[tex]A_1=\dfrac{1}{2}\times 6\times 4[/tex]
[tex]A_1=\dfrac{24}{2}[/tex]
[tex]A_1=12[/tex]
Now, the lateral surface area of the given square pyramid is 4 times the area of one triangle.
[tex]LA=4A_1[/tex]
[tex]LA=4(12)[/tex]
[tex]LA=48[/tex]
Therefore, the lateral surface area of the given square pyramid is 48 cm².
Answer: 48
Step-by-step explanation: 4*6/2, and the multiply by 4 for all of the sides
Related Questions
4. Explain how to show that the line through points A(-2,-5) and B(-1,5) is parallel to the line that represents
the equation y=10x + 12.
Answers
Find the slope of points A and B
(y2 - y1)/ (x2-x1)
(5-(-5))/(-1-(-2)) = (5+5)/(-1+2) = 10/1
The slope of the points is 10
In the equation
y = 10x + 12
Y = mx + b, m indicating slope
The slope of the equation is also 10
Because both slope is 10, the line through the points and the equation is parallel
find the value of X plsss help!!
Answers
Answer: B
The Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent. This means that 48° should equal (7x+13)°, because they're vertical angles. The equation should appear as 48=7x+13. Subtract 13 on both sides to get. 35=7x. Divide 7 on both sides to result with x=5.
Latasha ran a mile in 7.03 minutes and Erik ran a mile in 6.8 minutes. How many more minutes did it take Latasha to run the mile?
0.23
0.35
0.5
0.95
Answers
Latasha needs to run 0.23 minutes more minutes to complete the mile.
What is the speed of a runner?
The speed of a runner is the ratio of the distance covered in a specific time.
Given,
Latasha ran a mile in 7.03 minutes and Erik ran a mile in 6.8 minutes.
Therefore, difference in time = (7.03 - 6.8) minutes = 0.23 minutes.
Learn more about the speed here: https://brainly.com/question/14421054
#Tag #SPJ2
PLEASE HELP. THIS IS FOR A TIMED TEST AND I GENUINELY TRIED EVERYTHING TO SOLVE IT
Answers
Answer:
I believe it's C I had this on my test and I got it right
Find the length of the unknown leg of the right triangle. Use pencil and paper.
Draw the triangle on graph paper and measure to verify the answer.
Answers
Answer:
15Step-by-step explanation:
Use Pythagorean:
x² + 2.75² = 15.25²x² = 15.25² - 2.75²x² = 225x = √225x = 15Step-by-step explanation:
Perpendicular=p=2.75Hypotenuse=h=15.25we know that
[tex] \boxed{ \sf \: h {}^{2} = {p}^{2} + {b}^{2} } \\ \rm \mapsto \: {(15.25)}^{2} = {(2.75)}^{2} + {b}^{2} \\ \rm \mapsto \: {b} {}^{2} = {(15.75)}^{2} - {(2.75)}^{2} \\ \rm \mapsto \: b = \sqrt{ {(15.25)}^{2} - {(2.75)}^{2} } \\ \rm \mapsto \: b = \sqrt{232.5 - 7.5} \\ \rm \mapsto \: b = \sqrt{225.5} = 15.07=15(approx)[/tex]
A square picture frame has a perimeter of 32 inches. What is the length of the diagonal of the picture frame?
Answers
Answer:
The diagonal length is the square root of 128 so 11.31 inches
simplify 2 × n × p × 4
Answers
Answer:
8np
Step-by-step explanation:
2 x 4 = 8
8 * n * p = 8np
A kangaroo hopped 3{,}5203,5203, comma, 520 yards to the lake with her baby in her pouch. She hopped the remaining 5{,}2805,2805, comma, 280 yards without her baby in her pouch. How many miles did the kangaroo hop to the lake? Miles
Answers
Answer:
5 miles
Step-by-step explanation:
Here is a more clear question :
A kangaroo hopped 3,520 yards to the lake with her baby in her pouch. She hopped the remaining 5,280 yards without her baby in her pouch. How many miles did the kangaroo hop to the lake? Miles
to determine the answer
1. add the yards hopped with the baby with the yards hopped without the baby together
3520+5280=8800 yards
2. convert yards to miles
1 yards = 0.000568182 miles
0.000568182 x 8800 = 5 miles
Find the slope of the line through the points (-4, 3) and (3, 5)
Answers
Answer: 2/7
Step-by-step explanation:
Slope is ∆y/∆x. ∆ is read as "delta". The "delta" sign means "the difference between". So that means the difference between the y-coordinates divided by the x-coordinates gives us slope. Therefore, using the coordinates, 5-3 gives us the rise. And 3-(-4) gives us the run. Rise/Run is also equivalent to the slope. Thus, our final answer is 2/7.
What shape will result when you make a vertical cross section through the picture below?
A) Circle
B) Cylinder
C) Rectangle
D) Sphere
Answers
Answer:
rectangle
Step-by-step explanation:
Inverse tangent is used to find a missing angle measure when we are given the___ and the ____.
a. opposite side; adjacent side
b. same side; other side
c. adjacent side; hypotenuse
d. opposite side; hypotenuse
Answers
We can infer here that the inverse tangent is used to find a missing angle measure when we are given the opposite side and the adjacent side.
What is inverse tangent?An inverse tangent is known to be the formula that is used to find an angle of a right-angled triangle when certain sides are given. This is true when opposite and adjacent sides are given.
Thus, to find an angle using inverse tangent, we will have: θ = tan-1[ (opposite side) / (adjacent side) ].
Learn more about inverse tangent on https://brainly.com/question/2780824
#SPJ9
Where is ( 0 , -5 ) on the coordinate plane?
Question 5 options:
Quadrant III
Quadrant II
x axis
y axis
origin
Answers
Answer:
y-axis
Step-by-step explanation:
It lies on the vertical y-axis
A recipe calls for 2,000 grams of sweet potatoes. Which expression can be used to find how many kilograms of sweet potatoes are needed?
Answers
Answer:
2 kilograms of sweet potato
Step-by-step explanation:
1 kilogram = 1000 grams.
So, to find how many kilograms there are divide by 1,000
2,000 ÷ 1,000 = 2
So, there are 2 kilograms needed.
Have a great day!
PLS ASAP Find the volume of the sphere.
Answers
Answer:
523.598776
Step-by-step explanation:
round to 524
14. A normal distribution has a mean of 700 and a standard deviation of 35. What is the
probability that a value selected at random is at most 630?
Answers
Answer: 0.025
Step-by-step explanation:
answer this for brainilest and 30points (no links or internet answer or you will get flagged
Answers
Answer:
0.6 is your answer if you need explanation than comment me
Sara hina and Arslan have a total of RS 390in their wallet . Sara has Rs. 7more than Hina .Arslan has 3 times what sara has . How much do they have in their wallets?
Answers
Answer:Sara hina and Arslan Have RS79.4,RS 72.4 and RS238.2 respectively.
Step-by-step explanation:
Step 1
Let the amount that hina has be x
the amount that sara has be represented as 7+x
and the amount that Arslan have be represented as 3(7+x)
such that the total amount in their wallet which is 390 can be expressed as
x+7+x + 3(7+x)=390
Step 2
Solving
x+7+x +21+3x=390
5x+28=390
5x==390-28
x=362/5=72.4
Hina has RS 72.4
Sara =7+x==72.4+77= RS 79.4
Arslan =3(7+x)=3 x 79.4=RS 238.2
Please and thank you
Answers
Answer:
D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
b/c 2x·2x-7·7
=4x²-49
What is the value of this expression when t = -12?
-3|t − 8| + 1.5
Answers
hope it helps
Answer: -58.5
Step-by-step explanation:
What is the value of c?
Answers
Step-by-step explanation:
d=100° <------opposite angle of a parallelogram are equal
then c=96°
whoever has the right answers for ALL will get brainiest and all points
Answers
Answer:
1st: Equal to
2nd: Greater than
3rd: Less than
Answer:
Step-by-step explanation:
So the second problem 325 x 1 2/3 is greater then 325
and the third problem 325 x 1/4 is equal to 325if 100 students surveyed, 25 said they would vote for Jen for class president. If 2,000 students voted in the school's election, about how many votes should Jen receive?
A 25
B 100
C 500
D 1,900
Answers
Answer:
500 Votes
Step-by-step explanation:
25/100 = 0.25
500/2000 = 0.25
Therefore 500 students would vote for Jen.
The reason is because only a quarter of 100 said they'd vote which is found by doing 25/100 = 1/4 or 25% or .25 (all mean the same)
Apply that to 2000 by doing 2000 x 1/4 (or .25) and it should be 2000 x 1/4 = 500
The green object below,is best defined as a ___ named____.
Answers
The green object below, is best defined as a Ray named AC.
In geometry, a ray is a part of a line that consists of a single initial point called the endpoint and extends infinitely in one direction. It can be thought of as a half-line, with one end point and the other end extending infinitely.
Rays are named using two points, with the endpoint being mentioned first.
Here, in the figure the green line has one point A and the next C and it is further extending.
Thus, the Green line is a Ray name as ray AC.
Learn more about ray here:
https://brainly.com/question/13144568
#SPJ2
bill spent $19 at starbucks on a coffee and some cookies. if the coffee cost $5 each cookie cost $2, how many cookies did he buy?
Answers
Answer:
this is easy. we know that he spent $19 total, 1 coffee that costed $5, and that each cookie costs $2. all you have to do is subtract 5 from 19 and divide the remaining amount of money (14) by 2. this makes 7 the amount of cookies Bill bought.
00:00
Which figure is a translation of Figure 1?
y Figure A
6
BE
4
Figure B
Σ
2.
Figure
o Figure 1
X
0 2 4 6 8
Figure A
Figure 3
Review progress
Answers
Answer:
Figure A is a translation of Figure 1
hope it helps...
24.Jill has $800 and is spending $30 per week. Gill has $150 and is saving $20
per week. In how many weeks with Jill and Gill have the same amount of money?
Answers
If you multiply 20 by 13 it equals 260 then add 150 to get 410
Multiply 30 by 13 you get 390 then subtract 800 by 390 to get 410
Can someone help me with these questions
Answers
For example:
2x + 7 + 8x + 3
What you want to do is simply the expression
We can see that 2x and 8x are both coefficients
(A coefficient is a number that is going to be multiplied by a variable such as 3y, 2x, 7x and so on)
They are both like terms meaning that they can be combined
2x + 8x= 10x
Next, you want to see if you can combine anything else because our goal is to make the expression simplified.
7 and 3 can be combined because they are like terms
7+3= 10
Now that you have the new numbers I guess you can call it your answer should be
10x + 10
Hopefully this helps you answer the other questions. I did this lesson not too long ago so if you need help on anything else I can try to explain it.
plz help me do this
Answers
Answer:
Data set doesn't go to 17
Step-by-step explanation:
None of the numbers go to 17
Answer:
1st option. the data set doesn't GO to seventeen
Step-by-step explanation:
look at the number line. I always had trouble with this so I get where your coming from first, look at where the line is touching don't pay attention to the box yet because it's confusing the entire point of this line is to show you that there MAY have been 1 or two people who where at 0 for this data and 1 or two people who were at 15
the point here is that the bulk of the data was 11-14, but because there were less people down lower, the mean of the data is at 13, and the data is bigger (skewed) to the left.
making everything lekse true except for the first option.
Fiona deposited $900 in the bank over 2 years. She earned $60 in
simple interest at the end of the 2 years. What was the annual
interest rate?
Answers
If Fiona deposited $900 in the bank over 2 years. She earned $60 in
simple interest at the end of the 2 years then 3.33% is the annual
interest rate.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Fiona deposited $900 in the bank over 2 years.
She earned $60 in simple interest at the end of the 2 years.
We have to find the annual interest rate
I=PRT
60=900×2×T
60=1800T
Divide both sides by 1800
T=3.33%
Hence, the annual interest rate is 3.33%
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ1
1. A box without a top is to be made from a rectangular piece of cardboard, with dimensions 3 in. b)
in., by cutting out square corners with side length x and folding up the sides.
Answers
Answer:
a) The volume of the box is represented by [tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex].
b) A side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.
Step-by-step explanation:
a) The volume of the box ([tex]V[/tex]), in cubic inches, is modelled by the equation for the cuboid:
[tex]V = (3-2\cdot x) \cdot (7-2\cdot x) \cdot x[/tex] (1)
Where [tex]x[/tex] is the side length of the cutted square corners, in inches.
[tex]V = (21 - 20\cdot x + 4\cdot x^{2})\cdot x[/tex]
[tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex]
The volume of the box is represented by [tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex].
b) The method consist in graphing the polynomial and looking for a relative maximum. We graph the equation found in a) by means of a graphic tool. We present the outcome in the image attached below. According to this, a side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.