Given:
A square base pyramid whose base length is 10 in. and height of triangular surface is 4 in.
To find:
The surface area of the pyramid to the nearest whole number.
Solution:
A square base pyramid contains square base with edge 10 in. and 4 congruent triangles with base 10 in. and height 4 in.
Area of a square is
[tex]A_1=(edge)^2[/tex]
[tex]A_1=(10)^2[/tex]
[tex]A_1=100[/tex]
So, area of square base is 100 sq. in.
Area of a triangle is
[tex]A_2=\dfrac{1}{2}\times base\times height[/tex]
[tex]A_2=\dfrac{1}{2}\times 10\times 4[/tex]
[tex]A_2=20[/tex]
So, area of each triangular surface is 20 sq. in.
Now, the total surface area of the pyramid is
Total area = Area of square base + Area of 4 congruent triangles.
[tex]A=A_1+4\times A_2[/tex]
[tex]A=100+4\times 20[/tex]
[tex]A=100+80[/tex]
[tex]A=180[/tex]
Therefore, the area of the pyramid is 180 sq. in.
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PLEASE HELP ME BRO
The number of cups of flour used in a cookie recipe varies directly with the number of cookies made. If 2 cups of flour are used to make 36 cookies, how many cups of flour will it take to make 54 cookies?
A. 18
B. 3
C. 9
D. 27
Answer:
the answer is b)3
Step-by-step explanation:
2=36
?(x)=54
2×54=36x
108/36=x
x=3
Can someone help me please
Answer: D is located at point (-3, -4)
Are these 2 triangles congruent? 0 If no, type "not congruent" If yes, state what postulate or theorem proves it.
Answer:
the triangles are congruent
Yo Who all be living in colorado and hating the online school stuff
Answer: im livin in iowa and it sucks
Step-by-step explanation:
Pls pls pls help! And thank you so much
Answer:
37.68 i think
Step-by-step explanation:
Helppppp PLZZZZZZZZZZZZZZZZZZZZZZ i need help
Answer/Step-by-step explanation:
A) The temperature in Chicago could be -10*F because -10 is to the right of -13 on the number line.
Higher Temperatures -->
o----------->I
I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I
-13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
[tex]\sf\:Q.\:Show \: that \: there \: is \: no \: positive\:integer[/tex]
[tex]\sf\:n \: for \: which \:\sqrt{n - 1} \: + \:\sqrt{n + 1}\:is[/tex]
[tex]\sf\: rational.[/tex]
translate the expression in to a sentence and simply
[tex] \sqrt{49} [/tex]
Answer:
Concept: Mathematical Computation
In plain text it is: square root of 49 [tex] \sqrt{49} [/tex]We need to values such that x × x = 49 Hence [tex] \sqrt{49} = 7[/tex]Rate brainlistWhat pleASE help IM TRYING TO HELP MY BROTHER THIS IS EMBARR
Answer:
9/5 ft.
Step-by-step explanation:
9/10 + 9/10 = 18/10 = 9/5
Please help 20 points!!!!
Answer:3rd option, because angles adjacent to the same angle are congruent to eachother.
Step-by-step explanation:
Isabella drives at a constant 45 miles per hour is she drives for why miles and it takes her X hours what is the two variable equation to represent the number of miles isabella Drive Annex hours
Answer:
Required two variable relation is 45x =y
Step-by-step explanation:
Speed of isabella car is v = 45 miles per hour
now, According to question she takes Y miles( = distance) in X hours (= time)
from The relation of velocity i.e.
velocity = [tex]\frac{distance}{time }[/tex]
on substituting the values in the above relation we get,
v = 45 = [tex]\frac{y}{x}[/tex]
on further rearranging of terms we get,
[tex]45x[/tex] = y
HENCE, required relation is 45x =y , which is a two variable equation.
Complete the proof of the Triangle Angle Sum Theorem.
Answer:
In the proof above, reason 5 is Alternate Interior Angles Theorem, and reason 7 is Angle Addition Postulate.
Step-by-step explanation:
I took the quiz.
On a team 5 girls and 2 boys scored a total of 41 points. The difference between the number of points scored by the 5 girls and the number of points scored by the
2 boys is 29. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each
boy
Each girl scored points
Step-by-step explanation:
Let x be the number of points the 5 girls scored.
=> 41 - x is the number of points the 2 boys scored.
We have x + 29 = 41 - x or x - 29 = 41 - x.
=> 2x = 12 or 2x = 70
=> x = 6 or x = 35
We reject x = 6 as 6 is not a multiple of 5. (Each girl would have scored 1.2 points which is absurb)
So x = 35, each girl scored 35/5 = 7 points.
=> 41 - (35) = 6, each boy scored 6/2 = 3 points.
If there is 1 person who needs to talk and there are hundreds of others out there, how many will the person probably talk to?
Answer:
10
Step-by-step explanation:
Answer:
...........1 person...........
Please help it’s being timed
What’s the answer to 6???
Answer:
3 divided by 52
Step-by-step explanation:
Sarah mailed her computer to Store B for repairs. Her bill was:
Initial Repair Cost = $1,350
Sales Tax of 7 percent = $94.50
Total Cost of Computer Repair = $1,444.50
Shipping = 2 percent of Total Cost
Answer:
D
Step-by-step explanation:
Answer:
0.02($1,444.50)
Step-by-step explanation:
What is the value of 76 + (4 — 3) x 60?
Using trigonometric identities, the answer should be: 77
Answer: 4,620
Step-by-step explanation:
1. 76 + (1) x 60
2. 77 x 60
3. 4,620
What is the volume of the cone?
Answer:
70/3 πcm
Step-by-step explanation:
hope this helps
I need some answers for this
Answer:
its a black screen and I can't answer it without nothing on their
Temperature freezes at 0°C. Which of the following temperatures is below freezing?
9. Which company pays the most per pizza?
Papa Ron's made their offer in the form of this graph.
w
Bombinoes' Pizza is offering $56 per shift and $250
in commission for each pizza delivered.
Little Squeezer's showed Tony a table of salaries.
10
Pizzas 0
Salary | 48
2
54
4
60
78
1
Pizza Tent has given Tony his pay options in the
following function. Srepresents Tony's salary, and p
represents the number of pizzas he delivers.
S = 2.75p +52
A. Bombinoes' Pizza
B. Little Squeezer's
C. Pizza Tent
D. Papa Ron's
the correct answer is option a. bombinos pizza
At Pizza Pi, 20% of the pizzas made last week had extra cheese. If 50 pizzas had extra cheese, how many pizzas in all were made last week?
Answer:
250 pizzas
Step-by-step explanation:
We can use the formula 50 = 20/100x. We multiply both sides by 100 to get 5000 = 20x. Now, we divide both sides by 20 to get 250 = x. That means 250 pizzas were made last week.
Which of the following situations can be described by the equation 2x – 4 = 10?
Step-by-step explanation:
Add 44 to both sides.
2x=10+4
2x=10+4
2 Simplify 10+410+4 to 1414.
2x=14
2x=14
3 Divide both sides by 22.
x=\frac{14}{2}
x=
2
14
4 Simplify \frac{14}{2}
2
14
to 77.
x=7
x=7
Done
1/6 + 7/9 + _____ = 1
Answer:
[tex] \frac{1}{18} [/tex]
Answer:
3/54
Step-by-step explanation:
6 and 9 both go into 54
1/6=9/54
7/9=42/54
42+9=51
3/54
Find the greatest odd integer value of x that satisfies the inequality -3x > -105.
Answer:
Step-by-step explanation:
X>35
Answer:
x = -37
Step-by-step explanation:
x < -[tex]\frac{-105}{3}[/tex]
divide 105 by 3, we get -35
however the question asked for the 'greatest odd' integer 35 which is 37 since x is less than -35
The length and breadth of a rectangle are in the ratio 3 : 1. If the breadth is 7 cm, then the length of the rectangle is
Answer:
the length would be 21
7x3=21
What are the numbers of pi? All of the numbers please. Like all of them. PLEASE QUICK!!!
Answer:
Umm infinite, pi is a irrational number, it is ever ending
Step-by-step explanation:
I only know liek 60 digits :P
3.14159265358979323846264338327950288419716939937510
Somthing like that
Which choice shows the image of quadrilateral W XYZ after a reflection over the x-
axis followed by a translation to the right of 2 units?
Answer:
Answer attached
Step-by-step explanation:
(x,y) ---> (-x,y) ----> (-x+2,y)
Find the measure of the indicated angle to the nearest degree.
Select all names that apply to the number 5/8
Answer:
five over eight, five-eighths
you need to give possible options
Step-by-step explanation: