Answer: [tex]560m^2[/tex]
Step-by-step explanation:
First begin by finding the surface area of the base, which is simply length * width. In this case,
[tex]14*14 = 196 m^2[/tex]
Next, find the surface area of one of the sides of the pyramid. This formula for this is:
[tex]\frac{1}{2}*base*height[/tex]
Since we know the height to be 13 meters and the base to be 14 meters, we can solve for one side.
[tex]\frac{1}{2}*14*13 = 91 m^2[/tex]
We multiply this by 4 to give us all 4 sides of the pyramid:
[tex]91m^2 * 4 = 364m^2[/tex]
Adding together the surface area of the sides and the base gives us:
[tex]196m^2 + 364m^2=560m^2[/tex]
Which expression is equivalent to 8 (a minus 6)?
8 a minus 48
2a
8 a minus 6
48a
Answer:
8 a minus 48
Step-by-step explanation:
you need to distribute!!
so you distribute the 8 to both the a and 6
8 times a equals 8 a
8 times 6 equals 48
and so that’s how you get 8 a minus 48 c:
Answer:
8 a minus 48
Step-by-step explanation:
I need it in 10 minutes. How do I get these it’s just confusing me
The surface area, the lateral area and the volume are, respectively:
S = 100 mi², L = 200 mi², V = 500 mi³S ≈ 201.062 cm², L ≈ 508.938 cm², V ≈ 1809.558 cm³S = 139.5 km², L = 180 km², V = 558 km³S = 6 km², L = 108 km², V = 54 km³How to determine the volume, the lateral area and the surface area of each solid
The volume is a measure of the space occupied by the solid, the lateral area is the measure of the area occupied by lateral faces of the solid and the surface area is the area occupied by the cross section of the solid. Please notice that the volume of each prism is equal to the product of the surface area and the height of the solid and the lateral area is the sum of the areas of the lateral faces.
In this exercise we must follow these steps to obtain the required results:
Calculate the surface area.Calculate the lateral area.Calculate the volume.Lastly, we proceed to make the corresponding calculations:
Surface area - Figure 1S = (10 mi)² = 100 mi²
Lateral area - Figure 1L = 4 · (10 mi) · (5 mi) = 200 mi²
Volume - Figure 1V = S · h = (100 mi²) · (5 mi) = 500 mi³
Surface area - Figure 2S = 0.25 π · (16 cm)² ≈ 201.062 cm²
Lateral area - Figure 2L = π · (18 cm) · (9 cm) ≈ 508.938 cm²
Volume - Figure 2V = S · h = (201.062 cm²) · (9 cm) ≈ 1809.558 cm³
Surface area - Figure 3S = 0.5 · (5) · (9 km) · (6.2 km) = 139.5 km²
Lateral area - Figure 3L = (5) · (4 km) · (9 km) = 180 km²
Volume - Figure 3V = S · h = (139.5 km²) · (4 km) = 558 km³
Surface area - Figure 4S = 0.5 · (3 km) · (4 km) = 6 km²
Lateral area - Figure 4L = (9 km) · (3 km) + (9 km) · (4 km) + (9 km) · (5 km) = 108 km²
Volume - Figure 4V = S · h = (6 km²) · (9 km) = 54 km³
To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538
Find the value:with steps please
-3/5 x 8/15 x 1/9 x -24/30
Answer:
Step-by-step explanation:
PLEASE HELP!!! I NEED TO KNOW HOW TO SOLVE IT
Name of the shape:
Triangular Prism - a three sided prism "triangular base"
Surface Area of Right Triangular Prism:
⇒ Base x Height + Length(perimeter of the base)
4 x 3 + 11(3 + 5 + 4)12 + 11(12)12 + 132144 cm²There surface area of this shape is 144 cm²
#a
Triangular prism#b
If sides be L,B,H
Then
TSA=BH+L(Perimeter of base)#c
Now
TSA=4(3)+11(3+5+4)TSA=12+11(12)TSA=144cm²Lucia checked her online bank statement which shows the current balance is $412.76, pending withdrawals are $481.23, and pending credits are $134.00. What is Lucia's current available balance? (4 points)
−$202.47
$65.53
$123.67
$777.20
Considering the withdraws and credits, Lucia's current available balance is of $65.53.
How do we find a balance?It is given by the sum of the money that the people has with the pending credits, and subtracted by the pending withdraws.
In this problem, we have that:
Lucia has $412.76, with pending credits of $134.00.She has pending withdraws of $481.23.Hence, her avaiable balance is given by:
412.76 + 134 - 481.23 = $65.53.
More can be learned about balances at https://brainly.com/question/26867415
A group of friends wants to go to the amusement park. They have no more than $230 to spend on parking and admission. Parking is $8, and tickets cost $27.75 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Please help me
Answer:
230=8X+27.75X
230=35.75X
x = 6 Rounded down
8*6=48
27.75*6=166.5
48+166.5=214.5
Amount of frindes can go is 6
Step-by-step explanation:
I need help now!!!!
help me need the correct answer!!!!!!!!!!!!
Step-by-step explanation:
so, the garden seems to be rectangular.
it has a length.
and width = length - 2
I assume the fence should go all around the rectangular garden.
that means it has to cover 2 lengths and 2 widths.
fence = 2×length + 2×(length - 2) =
= 2×length + 2×length - 4 = 4×length - 4 =
= 4×(length - 1)
length = 7.5 m
so, he will need
4×(7.5 - 1) = 4×6.5 = 26 meter of fencing.
A supervisor finds the mean number of miles that the employees in a department live from work. he finds x overbar = 29 and s = 3.6. which mileage is within a z-score of 1.5? 21 miles 24 miles 36 miles 41 miles
A supervisor finds the mean number of miles that the employees in a department live from work is 24. Then the correct option is B.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The z-score is given as
[tex]z = \dfrac{x-\mu }{s}\\[/tex]
x = 29
s = 3.6
z = 1.5
Then the mean will be
[tex]1.5 = \dfrac{29 - \mu }{3.6}\\\\\mu = 29 - 5.4\\\\\mu = 23.6 \approx 24[/tex]
More about the z-score link is given below.
https://brainly.com/question/15016913
sin 30° = ½ and cos 30° = fB
Answer:
True
Step-by-step explanation:
The length of a picture frame is 7 inches more than the width. For what values of x is the perimeter of the picture frame greater than 150 inches.
Answer:
x > 34
Step-by-step explanation:
Let x be the width of the picture frame
It then follows that the length = x + 7
Therefore, our inequality is:
[tex]2(x+7) +2x > 150\\2x+14+2x > 150\\4x > 136\\x > 34[/tex]
For all values of x greater than 34 the perimeter is greater than 150 inches.
Answer:
x is greater than 34 inches.
Step-by-step explanation:
Let x = width, then the length = x+7 inches.
Perimeter = 2(W + L) = 2(x + x + 7) = 4x + 14 , so:
4x + 14 > 150
4x > 150 - 14
4x > 136
x > 34.
Find the length of the third side. If necessary, round to the nearest tenth.
4
Answer:
x=2.6
Step-by-step explanation:
We can use the Pythagorean theorem to find the third side
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 + x^2 = 4^2 where x is the unknown side
9 + x^2 = 16
Subtract 9 from each side
x^2 = 16-9
x^2 = 7
Take the square root of each side
sqrt(x^2) = sqrt(7)
x =2.645751311
Rounding to the nearest tenth
x = 2.6
Answer:
2.65
Step-by-step explanation:
take the length of the third side as x
so,take Pythagoras theorem
4^2=3^2+x^2
16=9+x^2
x^2=16-9
x^2=7
x=√7
x=2.645
x=2.65
A necklace has 16 charms, and each charm weighs 1 ounce. How many pounds does the necklace weigh?
A) 1/2 pound
B) 1 pound
C) 1 1/2 pounds
D) 2 pounds
Answer:
B. 1 pound
Step-by-step explanation:
16 * 1 = 16
1 ounce = 0.0625 pounds
1 pound
Could someone help me
Answer:
D) 3^9
Step-by-step explanation:
3^4 3^8 / 3^3
3^4 / 3^3 = 3
= 3 * 3^8
= 3^9
Answer:
(x+2)(x+3)
√2x
3
−3
−4+i
Step-by-step explanation:
A right triangle. the legs are labeled x(a) and 6(b), and the hypotenuse is labeled √117(c)
what is the value of x? explain your answer
please help!! will give 20 points!!!!!!!
Answer: 9
Step-by-step explanation:
it would be really helpful if i knew the answer step by step thank you
Answer:
61.3 to infinty
Step-by-step explanation:
1. Multiple: 7(8) = 56
2. Multiple: 2(4) = 8
3. Divide: the result of step 2: 3 = 8 : 3 = 2.6666666666667 = 8/43
4. Multiple: the result of step 3: 4 = 8/3
* 4 = 8 · 4/
3 · 1
= 32/
3
5. Subtract: the result of step 1 - the result of step 4 = 56 - 32/3
= 56/1
- 32/3
= 56 · 3/1 · 3
- 32/3
= 168/3
- 32/3
= 168 - 32/3
= 136/3
6. Multiple: 2(8) = 16
7. Add: the result of step 5 + the result of step 6 = 136/3
+ 16 = 136/3
+ 16/1
= 136/3
+ 16 · 3/ 1 · 3
= 136/3
+ 48/3
= 136 + 48/3
= 184/3
Use trigonometry to work out the size of angle y.
+
+
11 cm
у
6 cm
Answer:
17+y
Step-by-step explanation:
Sage borrowed $4500 from her parents to buy her a new car. So far she has repaid $2740 How much money does save still owe her parents?
Answer:1760
Step-by-step explanation:you get the money given by the parents minus the money given back to the parents
please help me with this math
Answer:
Step-by-step explanation:
If John is driving 55 miles per hour down
195, how many feet per minute is he
traveling?
The feet per minute that John is travelling down 195 is 4840 feet per minute.
How many feet per minute is he traveling?Average speed is the total distance travelled per time. It is determined by dividing total distance travelled by total time.
In order to convert 55 miles per hour to feet per minute, we have to know the unit of conversion :
1 mile = 5280 feet
1 hour = 60 minutes
55 x (5280 / 60) = 4840 feet per minute
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The sum of the roots of x² + 6x - 55 = 0 is:
A. 6
B. -6
C. -55
Answer:
B
Step-by-step explanation:
the sum of the roots = - [tex]\frac{b}{a}[/tex]
x² + 6x - 55 = 0
with a = 1 , b = 6 , then
sum of roots = - [tex]\frac{6}{1}[/tex] = - 6
6)Janel wants to sell her grandfather's antique 1932 Ford. She begins to set her price by looking at
ads and finds these prices: $24,600, $19,000, $33,000, $15,000, and 20,000. What is the mean
price?
Prices given by
24,60019000330001500020000Mean:-
[tex]\\ \rm\Rrightarrow \dfrac{Sum\:of\:price}{Total\:prices}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{24600+19000+33000+15000+20000}{5}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{111600}{5}[/tex]
[tex]\\ \rm\Rrightarrow 22220\$[/tex]
mean price = $22320
mean is the average of a set of given numbers
set { $24,600, $19,000, $33,000, $15,000, $20,000 }
[tex]\sf m = \dfrac{\text{sum of the terms}}{\text{number of terms}}[/tex]
total 5 number of terms.sum of terms: 24,600 + 19,000 + 33,000 + 15,000 + 20,000 = 111600[tex]\hookrightarrow\sf mean = \dfrac{111600}{5}[/tex]
[tex]\sf \rightarrow mean = 22320[/tex]
on the number line,label the points that are 5 over 2 units away from 0. What is the distance between these points
Answer: 5 units
Step-by-step explanation:
5/2 = 2.5
they are 2.5 away on each side of 0 therefore the points are 5 units away from each other
Helppp plssssss!!!!!!
A group of coins is shown below. What is the probability and it's compliment of randomly selecting a nickel?
Answer:
Please post the full question.
Step-by-step explanation:
I am trying to help, but the question is missing some key info.
Please dont delete, as when he posts the full thing, I will reply to this answer with the answer and explanation.
If Shannon wants to fill a spherical balloon so that it has a circumference of 8π in, how much air will she need to use to fill the balloon?
The Volume of air needed for a spherical balloon of radius 4 inch and circumference 8π is 85.3 cubic inch
Volume of SphereGiven Data
Circumference = 8πLet us find radius
circumference = 2πr
8π = 2πr
8 = 2r
r = 8/2
r = 4 inch
Let us find the volume of the sphere
Volume = 4/3πr^3
Volume = 4/3* π*4^3
Volume = 4/3*π64
Volume = 256π/3
Volume = 85.3 cubic inch
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HELPPPPP LOOK AT PICTURES. I'LL GIVE BRAINLIEST!!!!
[tex](D)\ d(r)=7\times (0,75)^2[/tex]
Step-by-step explanation:[tex]r=0.75\ \ \ \ \ d_1=7\times 0.75\ \ \ \ \ d_2=0.75d_1=7\times 0.75^2[/tex]
[tex]so\ at\ 1\le r\le 7[/tex]
[tex]d(y)=7x(0,75)^2[/tex]
I hope this helps you
:)
determine how many ways a president, vice president and treasurer can be chosen from a math club that has 7 members.
Answer:
210
Step-by-step explanation:
There are 7 choices for president.
Then there are 6 choices for vice-president.
Finally, there are 5 choices for treasurer.
7 × 6 × 5 = 210
Which statement was made by the negative to indicate a bias in the survey data presented by the affirmative?
The survey did not ask for the students' opinions regarding their freedom of expression.
The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.
The survey was performed in elementary schools, not in high school environments.
The survey only asked female school officials for their opinions, not male school officials.
answer B
Answer:
The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.
Step-by-step explanation:
How many rearrangements are there of the letters in the word "great?"
Please help me with this please and thank you
Answer:
#3 is 100
#2 is west
#1 is 80
Step-by-step explanation: