Answer:
Number of sides of the polygon = 16
Step-by-step explanation:
Sum of the interior angle of a polygon = (n - 2) × 180°
Here, n = Number of sides of the polygon
If sum of the interior angles = 14 × 180°
Therefore, (n - 2) × 180° = 14 × 180°
(n - 2) = 14
n = 14 + 2
n = 16
Number of sides of the polygon = 16
An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3. A scale model made of the same material measuring 6 feet by 4.5 feet and 4 inches thick weighs 75 lbs. If the steel costs $55/lb, how much will the material for the full-sized steel pad cost?
a) 12,375.00
b) 55,687.50
c) 82,500.00
d) 222,750.00
Answer:
The cost of the material for the full-sized pad is;
d) 222,750.00
Step-by-step explanation:
The parameters of the steel pad and the scale model are;
The volume of the deck = 18 yd³
The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick
The weight of the sample, m₂ = 75 lbs
The cost of the steel, P = $55/lb
The dimensions of the sample in yards are;
6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.[tex]\overline 1[/tex] yards
The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.[tex]\overline 1[/tex] yd. = (1/3) yd.³
The density of the sample material, ρ = m₂/V₂
∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³
Therefore, the density of the material of the pad, ρ = 225 lbs/yd³
The mass of the steel pad, m₁ = ρ × V₁
∴ The mass of the steel pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs
The cost of the material for the full-sized steel pad, C = m₁ × P
∴ C = 4,050 lbs × $55/lb = $222,750
3:10 how many ways can you do it answer choices answer all fraction and decimals DONT PUT FILES I CANNOT CLICK THEM!!!!
Answer:whats the question
Explanation:(pls dont report me as soon as u tell me the question i will edit my answer and answer correctly)
Answer:
3/10, 6/20, 9/30, 12/40, 15/50, 18/60, 21/70, 24/80, 27/90, 30/100, 33/110, 36/120, 39/130, 42/140, 45/150, 48/160, 51/170, 54/180, 57/190, 60/200, 0.3
Step-by-step explanation:
Find the hypotenuse of a right triangle that has a 13cm leg and a height of 7cm
Answer:
14.76 cm
Step-by-step explanation:
Use the pythagorean theorem:
a² + b² = c²
Plug in the side lengths and solve for c:
7² + 13² = c²
49 + 169 = c²
218 = c²
14.76 = c
So, the hypotenuse is approximately 14.76 cm
Please help I will mark you brainlest and give you 30 point!!
Answer:
im not sure but i think its x=6
5 x / 3 > 5 Fill in the blank with a numerator or denominator to make the number sentence
true.
Answer:
Any number above 4 will make this true.
Step-by-step explanation:
(5 x 4)/ 3 = 20/3 = 6.67 > 5
Answer:
Any number greater than 3.
Step-by-step explanation:
If you multiply 5 by any number greater than 3 and then divide it by 3 it will result in a number bigger than 5.
If you multiply the 5 by a number less than three, and then divide it by 3 it will result in a number less than 5 which makes the equation false.
You also can't multiply 5 by 3 and then divide it by 3 because it will make the answer equal to 5. This makes the equation false.
Find slope of line that passes through the points (2,-5) and (3,4).
Answer:
The slope is 9/1 or just 9.
Step-by-step explanation:
I used the y1-y2/x1-x2 slope formula.
8
z
5
+
4
y
−
4
z
3
+
z
8
z
5
+
4
y
-
4
z
3
+
z
Answer:
What???
Step-by-step explanation:
Cant see it?????
Your school raised 125% of its fundraising goal.The School raised $4500.What was the goal?
Answer:
3600
Step-by-step explanation:
125%=4500
5*25%=4500
25%=900
125%-25%=100%
4500-900=3600
translated 7 units right and 2 units up.
Answer:
where was the starting point?
if the starting point was the origin then the translated point is (7, 2)
Answer:
are you talking about a graph? If it's from (0,0) then (7,2)
Step-by-step explanation:
which quotient is greatest ?
A. 24.6 / 0.6
B. 2.46 / 0.06
C. 24.6 / 0.006
D. 2.46 / 0.006
Answer:
Step-by-step explanation:
Remark
The larger the numerator and the smaller the denominator, the bigger the quotient. Try and get the answer using that rule.
C
24.6 / 0.006 = 4100 Nothing is bigger than that.
Try D
2.46/0.006 =410
radical form. ooooooooooo
Answer:
by using Pythagoras law
h²=p²+b²
7²=4²+b²
b²=49-16
b=√33=5.744
third side is 5.744
Answer:
missing length = 5.74
Step-by-step explanation:
[tex]a^{2} = c^{2} - b^{2}[/tex]
[tex]a^{2} = 7^{2} - 4^{2}[/tex]
[tex]a^{2} = 49 - 16[/tex]
[tex]a^{2} = 33[/tex]
[tex]\sqrt{a^{2} } = \sqrt{33}[/tex]
[tex]a = 5.74[/tex]
Lara employed a residential cleaning service to tidy up her home. They charged her $150 for 3
hours of work. Her neighbor, Roy hired the same agency and paid them $225 for their services.
How many hours did they take to complete the job at Roy's home?
Answer:
Step-by-step explanation:
Find the rate that was charged for Lara's time
rate = dollars / hour
The use this rate to calculate how many hours it took to clean Roy's house, since the rates are the same. Solve for hours.....
rate for Lara = dollars / hour = $150 / 3 hour = $50 / hour
rate for Roy = dollars / hour Solve for hours
multiply both sides by hours
(rate for Roy) (hour) = (dollars / hour) (hour)
(rate for Roy) (hour) = (hour) (dollars / hour) right side hours cancel
(rate for Roy) (hour) = (dollars) divide both sides by (rate for Roy)
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
now the rate for Roy on the leftside cancel
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
(hour) = (dollars) / (rate for Roy) Plug in $225 charged to Roy
and the $50 / hour rate
hour = $225 / ($50/hour) ( 1 over 1 / hour ) = hour
= $(225/50) hour think about 1 / (1/2) = 2 the same with units
hour = 4.5 hours
pls helpppp!!
Its a math question i suck at math please help!
20 POINTS I WILL GIVE YOU BRAINLIEST IF YOU CAN FIND EACH MISSING VARIABLE PLS PLS PLS
Answer:
145?
Step-by-step explanation:
Circle A is defined as (x-5)^2+(y-6)^2=16, and circle B is defined as (x+3)+(y+2)^2=9. Which transformation of circle A shows that circle B is similar?
Answer: The answer is D
Step-by-step explanation:
Circle A has translated 2 units to the right and 8 units up to produce circle B ad circle B was reduced by a factor of 3/4
Transformation of coordinatesGiven the equation of circles A and B defined as (x-5)^2+(y-6)^2=16 and (x+3)+(y+2)^2=9
The scale factor of a dilation is given as:
k = √9/√16
k = 3/4
From the centers, we can see that circle A has translated 2 units to the right and 8 units up to produce circle B
Learn more on translation here: https://brainly.com/question/1046778
Solve for x solve for x
Answer:
15
Step-by-step explanation:
The sum of angles around a point is added up to 360°.
Accordingly,
4x - 2 + 9x + 6 + 8x - 5 + 46 = 360
Combine like terms.
21x + 45 = 360
Subtract 45 from both sides.
21x = 360 - 45
21x = 315
x = 15
I need help seventh please question 3
Answer:
2) n=11
Step-by-step explanation:
[tex]2n - 6 < 16 \\ 2n - 6 + 6 < 16 + 6 \\ 2n < 22 \\ \frac{2n}{2} < \frac{22}{2} \\ answer = n < 11[/tex]
I hope it helps ^_^
Complete the table.
f(y) = 4y2 - 4v
f(v
-4
-3
-2
-1
Answer:
f(y) = 4y2 - 4v
f(y) = 4y² - 4(-4) = 4y² + 16
f(y) = 4y² - 4(-3) = 4y² + 12
f(y) = 4y² - 4(-2) =4y² + 8
f(y) = 4y² - 4(-1) = 4y² + 4
Step-by-step explanation:
Write an expression showing five less than the number A
Answer: A-5
Step-by-step explanation:
"A" the number and 5 which should be less than the number
You make the equation
A-5
Which one of these statements correctly states Pythagoras' Theorem for the following diagram?
a) d 2 = e 2 − f 2
b) d 2 = e 2 + f 2
c) e 2 = d 2 + f 2
d) f 2 = d 2 + e 2
Answer:
I couldn't really read the problem that well, but if there's an e^2+f^2=d^2, then that's probably the correct option.
Step-by-step explanation:
Help pls !!!! Math is fun
Answer:
16
Step-by-step explanation:
The ratio fo the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
In a 30-60-90 triangle, the length of the short leg is the length of the long leg divided by sqrt(3).
The length of the short leg is 8 cm.
The length of the hypotenuse is twice the length of the short leg.
g = 2 * 8 cm = 16 cm
Find the slope of the line. Write your answer in simplest form.
Answer:
Slope = -3/5
Step-by-step explanation:
slope (m) = y2 - y1 / x2 - x1
m = -2 - 1 / 1 - -4
m = -3 / 1 + 4
m = -3 / 5
You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)
Answer:
-3/5
Step-by-step explanation:
The line is y=-3/5x-1.4
Give the solution to the system
Answer:
f(x)=x+2g(x)=-1(x-4)f(x) represents the red line
g(x) represents the green line
if the variable x = 1
1+2=-1(1-4)3 = -1(1×(-3))
3 = -1×(-3)
3 = 3
John is planning a vegetable garden in the shape of a square. The area of the garden is 100 square feet. What will be the length of each side? Which explanation would be correct? A) 50 feet because you divide 100 by 2 B) 10 feet because you take the square root of 100 C) 25 feet because you have 4 sides of a square D) None of the above
Answer:c
Step-by-step explanation:
Bc if it’s a square there will be 4 corners and each will have the same number count so u have to put even numbers in each corner and that’s 25 25+25=50 25+25=50 50+50=100
enter the value for x that makes the equation, 4(x - 4) = 12x + 16 true.
Answer:
False your answer will 4x-16
Step-by-step explanation:
you have to distribute 4 to x and 4 to 4. so you will do 4*x=4x and 4*4=16. Now you still have the subtraction sign so your answer will be 4x-16.
x is a 2 digit whole number how many digits does the number 10 x
Answer:
3
Step-by-step explanation:
Lets take 45 as an example, 10(45) = 450
450 is a 3 digit
answer
3
explanation
let's say X=99
99×10 =990
basically any two digit number multiplied by 10 will result in a 3 digit figure
hope it helps
Multiply o binomial by a trinomial
(x-1) (x²+x+1)
Answer:
Is this helpful or wrong?
Answer:
hey there, the product is x³ - 1
Someone help me please ASAP
Answer:
false, should be left instead
Step-by-step explanation:
negative numbers on the left of zero, positive on the right
Answer:
False
Step-by-step explanation:
Negative numbers are to the left of zero (0) on a number line.
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brainliest please
Pls help Brainelist if correct
The first triangle is dilated to form the second triangle. What is the scale factor? Please show your math work step by step.
What is the slope of the line that passes through the points (25, 50) and (80, 110)?
PLs HELP I WILL DO ANYTHING
Answer:
12/11
Step-by-step explanation:
the formula to find the slope of a line is:
where is the slope and and are the points where the line passes.
in this case we have that the first point is: (25,50) thus⇒ and
and the second point: (80,110) thus ⇒ and
substituting this values into the formula for the slope:
the slope of the line is 12/11