9514 1404 393
Answer:
470.16 cm²
Step-by-step explanation:
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
__
The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
The area of the base will be ...
A = 1/2Pa
So, the total surface area is ...
A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²
The answer is 470.16 cm²
Find three consecutive natural numbers such that the sum of the first and the second is 15 more than the third
Answer: 16, 17 and 18
Step-by-step explanation:
Let the consecutive natural numbers be x, x+1, and x+2. We are informed that the sum of the first and the second is 15 more than the third. This will be:
[x + x + 1] = [x + 2] + 15
2x + 1 = x + 2 + 15
2x + 1 = x + 17
2x - x = 17 - 1
x = 16
The numbers are 16, 17 and 18.
X, Y and Z are three points on a map. Y is 75km and on a bearing of 200° from X. Z is on a bearing of 150°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP.
Answer:
The distance between X and Z is approximately 114.9 km
Step-by-step explanation:
The given parameters are;
The distance of Y from X = 75 km
The bearing of Y from X = 200°
The bearing of Z from Y = 150°
The bearing of Z from X = 180°
In triangle XYZ, we have;
∠YZX = 180° - (130° + 20°) = 30°
By sine rule, we have;
(75 km)/sin(30°) = XZ/(sin(130°))
XZ = sin(130°) × (75 km)/sin(30°) ≈ 114.9 km
The distance between X and Z ≈ 114.9 km. to one decimal place.
please help I need you
Answer:
The answer is B.
Step-by-step explanation:
Diameter x Pi = Circumference
8 x 3.14 = 25.12
Answer:
B
Step-by-step explanation:
What is the equation of the line in slope-intercept form
Answer:
y = -3/5x - 2
A rectangular prism has a length of 10in, a height of 15in, and a width of 8in. What is its volume, in cubic in?
Answer:
1200 inc^3
Length x width x height
10 x 8 x 15= 1200
Find the slope of the graph below* Help me out ty
Answer:
-1
Step-by-step explanation:
When the line is slanting down it means its negative.
The crowd at a concert estimated to be 3,500 people. The exact attendance is 3,486 people. What is the percent error?
Answer:
0.4016%
Step-by-step explanation:
Estimated Value = 3,500 people , Exact attendance = 3486 people
We can see that there is a Percentage decrease . So we will apply the formula.
%Decrease = Old Value - New Value /Old Value × 100%
%decrease = 14/3486 %
%Decrease = 0.4016% (Answer)
There’s a drawing and I don’t know how to explain it on it
There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club? One-third One-half Two-thirds StartFraction 3 Over 1 EndFraction
Answer:
1:3
Step-by-step explanation:
Given that,
Total no. of boys = 5
Total no. of girls = 10
We need to find the ratio of the number of boys in the club to the total number of students in the club.
Total no. of students = no. of girls + no. of boys
= 5 +10
= 15
Ratio,
[tex]R=\dfrac{5}{15}\\\\=\dfrac{1}{3}[/tex]
Hence, the required ratio is 1/3 or one third.
Answer:
1/3
Step-by-step explanation:
Someone plz help T^T
Answer:
No
Step-by-step explanation:
parallel means they do not touch.
PLS HELP ME NWWWWWWWWWWWWW
Answer:
total score was 2
Step-by-step explanation:
have a good day ;*
Answer:
2
Step-by-step explanation:
2 + -6 + 7 + -1= 2
( I actually need to add something to make this comment long enough)
I want to know how to expand x(4 - 3.4y)
Answer:
X(4-3.4y)
= 4x - 3.4xy
Step-by-step explanation:
I NEED HELP WITH ALL 4 I WILL GIVE BRAINLIEST
Answer 1 8.40 precent 2 23.4% 3 16% 4 f 10%
Step-by-step explanation:
Justin set his watch 19 seconds behind, and it falls behind another 1 second every day. How
many days has it been since Justin last set his watch if the watch is 50 seconds behind?
Answer:
31 days
Step-by-step explanation:
Hope this helps!
Brainiest?
Answer:
31 days
Step-by-step explanation:
you have a set number already 19 if every day the watch goes back 1 day 31+19=50
I need help please and thank you
Liam wants to buy a Nintendo Switch. The Switch costs $350 plus tax. He has $380. If tax is 9%, will he have enough to buy the Switch?
Step-by-step explanation:
I'm not a 100 % sure but 350.00 x 0.06 =21 so 350 +21 = 371.00
Answer:
No
Step-by-step explanation:
Switch=$350 + tax = ???
Liam's Money= $380
350*9/100=tax
tax=$31.50
350+31.50=$381.50
that's how much he would need to pay: 381.50
so:
no he won't have enough money. he's 1.50 short
Please help! I don't get it cause the person that was teaching it had horrible handwriting ;-;
Answer: power of a power
Step-by-step explanation:
in the expression (x^4)^9, 4 and 9 are powers. 9 is the power of x^4, so you have to multiply 4 by 9 to get x^36. this means it's a power of a power
Find the inverse of function f.
$() = 9x + 7
OA /--) = 7x + 9
OB. 1 (1) = = -1
Oc. 7-1() = -98
OD. () = gr - 1
7
Answer:
C) f-1(x) = -9x - 7 the inverse of multiplication is division
6. A bicycle store costs $2200 per month to operate. The store pays an average of $60
per bike. The average selling price of each bicycle is $80. How many bicycles must the
store sell each month to break even?
The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 10 percent as much of its carbon-14 as compared to a living sample. How old is the fossil?
Answer:
19050 or some other number very close like 19039
Step-by-step explanation:
I took test and got this one right.
Answer:
the guys above :)
Step-by-step explanation:
give him brainliest if you have not :)
What is the range of the cluster in the scatter plot?
A: Between 4 and 8 years of experience
B: Between 6 and 12 years of experience
C: Between $10,000 and $60,000
D: Between $40,000 and $60,000
Answer:
b
Step-by-step explanation:
Find the sum of the squares of 3, 2, 1, and -1
Answer:
15
Step-by-step explanation:
3 x 3=9
2 x 2=4
1x1=1
-1x-1=1
9+4+1+1=15
Answer:
15
Step-by-step explanation:
The square of 3 is 3 times 3, so 9.
2 times 2 is 4.
1 times 1 is 1.
-1 times -1 is 1, because the negative cancels out.
So, it's 9 plus 4 plus 1 plus 1, so the answer is 15.
Please help me
I need this ASAP
PLEASE HELP ME
Answer:
180 X 365 = 65700 litres
65700/1000 = 65.7 cubic metres
65.7 X 91.22 = 5993.154
5993.154 / 100 = 59.93154
59.93 + 28.20 = 88.13
yes Henry should have a water meter
Dr. Montgomery recently graduated from medical school and his wife bought him an engraved stethoscope. The stethoscope cost $160.00. The sales tax in his city is 8%. What is the total cost of the stethoscope in dollars and cents including sales tax?
Answer:
172.8
Step-by-step explanation:
Answer:
172.8
Step-by-step explanation: Dont Trust Me But Its Right B)
Find 20% 0f 80.
using double number line
Answer:
100% - 80
---------------------
20% - x
[tex]100x=80*20\\100x=1600\\x=\frac{1600}{100}\\x=16[/tex]
use, or to compare the following numbers. -2 or 12 <>
Answer:
-2 < 12
Step-by-step explanation:
12 is bigger than -2.
Sonya had 20 dollars to spend on 3 gifts. She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B. How much money did she have left for gift C?
Answer:
6 19/20 dollars
Step-by-step explanation:
Sonya had 20 dollars to spend on 3 gifts.
She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B.
Gift A + Gift B + Gift C = $20
Gift C = $20 - (Gift A + Gift B)
Gift A = $8 1/4
Gift B = $4 4/5
Hence:
The amount she had left for gift C is :
Gift C = $20 - ($8 1/4 + $ 4 4/5)
Gift C = $20 - $13 1/20
Gift C = $ 6 19/20
Pleas help me with this F(x)=3x-x Find F(10)
Answer:
f(10) = 20
Step-by-step explanation:
Since the x is defined, you can plug it in, x=10.
Substitute the x with 10, f(10) = 3(10)-10.
Then, simply the equation, f(10) = 20.
the value of the 7 in 0.076 is 1/10 the value of the 7 in 2.79
Answer:
true
Step-by-step explanation:
the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place
I agree...................
x2=120
solve for the exact variable answer
Answer:
60 ?
Step-by-step explanation:
60×2 = 120. .
when you have a x right behind a number that means multiply
The number of miles, x, that a cross country athlete can run is represented by the inequality
x+3<15
What conclusion can be made about the number of miles?
Answer:
That the number of miles is going to be less than 15
Step-by-step explanation:
If you wanted to solve the inequality then the answer would be x<12
Can you please give me brainliest
