Answer:
Step-by-step explanation:
The sum of all the internal angles of a convex octagon must equal 1080.
You'll want to add all the angles together and then solve.
[tex](x+55)+(3x+20)+4x+(4x-10)+(6x-55)+(3x+52)+3x+(2x+30) = 1080[/tex]
Just combine like terms and then solve for x.
Need help thank you:)
Answer:
[tex]F = 1.8C + 32[/tex]
Step-by-step explanation:
Given
The attached table
Required
The relationship between both temperatures
This implies that we calculate the table equation
First, we calculate the slope (m)
[tex]m = \frac{F_2 - F_1}{C_2 - C_1}[/tex]
Where:
[tex](C_1,F_1) = (0,32)[/tex]
[tex](C_2,F_2) = (20,68)[/tex]
So, we have:
[tex]m = \frac{68 - 32}{20 - 0}[/tex]
[tex]m = \frac{36}{20}[/tex]
[tex]m = 1.8[/tex]
The equation is then calculated using:
[tex]F = m(C - C_1) + F_1[/tex]
This gives:
[tex]F = 1.8(C - 0) + 32[/tex]
[tex]F = 1.8(C ) + 32[/tex]
[tex]F = 1.8C + 32[/tex]
List three factors that must be considered when designing and building a house? Describe how each factor can influence the design and the building of the house.
I will be giving brainiest to correct and best explained answer! :)
Step-by-step explanation:
I would say the area its getting built. imagine wanting to build a house but you can't dig the sewer (if thats the spelling) pipes bc the area you want doesn't have any water or something like that. definitely money. without it, you can't do anything, you can't buy materials or even hire people to help you because you cannot tell me that you can build a house on your own. Another I would say is Labor cause like I said, if you ain't got nobody to help you, you're probably going to take a few years or more. so if you want to build a house in an area where there is a few architects and designers, you're just going to have to suck it up and get what you get.
Three rides at the Fun Park cost $10.50. How
many rides can you get on with $38.50?
Answer:
With $38.50 you can get on 11 rides.
Step-by-step explanation:
10.50 ÷ 3 = 3.50 per ride.
38.50 ÷ 3.50 = 11 rides.
120 coins what is the ratio if 2/6 is nickels and 2/6 are dimes and the rest is quarters. What is the ratio of nickels to dimes to quarters?
Hi there!
If the nickels and dimes ratioe are both 2:6, then the quarter is also 2:6.
The total of of all together is also 6:6 and 6:6 is also 120 coins.
120 divide by 3 different kinds of coins are 40.
This means that there are 40 of 1 coin out of 3 different kinds of coins. What I really mean is that each coins all have 40 each...
Therefore, the ratios of nickels to dimes and to quarters are 40:40:40...
Which statement correctly identifies a point on the graph of f–1(x)?
Answer:
Step-by-step explanation:
I didn’t see any choices but an inverse function switches the x and y values.
For every (x,y) of f(x) the inverse function will have (y,x) of f^-1(x)
Answer:
The point (4, –7) is on the graph of f(x), so the point (7, –4) will be on the graph of f–1(x). (quick answer A)
Step-by-step explanation:
Imagine you are hanging two identical picture frames. Each frame is 28 inches wide and the wall you are hanging them on is 10 feet wide. There needs to be 8 inches of space in between the two frames. How far do the frames need to be from the left and right side of the walls in order to be centered?
Answer:
28 inchesStep-by-step explanation:
Sum of the width of the two frames and a gap between them:
28*2 + 8 = 64 inThe gaps from the left and right are equal to x:
x = (10 feet - 64 in)/2 = (120 in - 64 in)/2 = 28 inIf an investment account starts with $3,900, and grows with 2.1% interest, compounded annually, how much is the account worth after 15 years?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Answer 5327
Answer:
$5327
Step-by-step explanation:
Use the formula for calculating compound interest
A(t)=P(1+r/n)^n⋅t,
where A(t) is the balance of the account, P is the principal, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded each year, and t is the time (in years). We are given that P=$3,900, r=0.021, n=1, and t=15. Substituting the values into the formula and using a calculator to evaluate, we find
A(t)=P(1+r/n)^n⋅t = $3,900(1+0.0211)^(15)(1) ≈ $5,326.61
So the final answer is $5,327.
Answer: 5327
Step-by-step explanation:
Use the formula for calculating compound interest
A(t)=P(1+rn)n⋅t,
where A(t) is the balance of the account, P is the principal, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded each year, and t is the time (in years). We are given that P=$3,900, r=0.021, n=1, and t=15. Substituting the values into the formula and using a calculator to evaluate, we find
A(t)=P(1+rn)n⋅t=$3,900(1+0.0211)(15)(1)≈$5,326.61
So the final answer is $5,327.
State the solutions for the quadratic equation graphed below.
Please assist me with this problem
Answer:
See working below
Step-by-step explanation:
You can apply Thales Intercept Theorem ("similar triangles")
a. [tex]\frac{36}{24}\:=\:\frac{48}{ET},\:ET\:=\:\frac{24\cdot 48}{36}\:=\:32[/tex]
b. [tex]\frac{36+24\:}{AJ}=\:\frac{48+ET}{40},\:\frac{60\:}{AJ}=\:\frac{48\:+\:32}{40},\:\frac{60}{AJ\:}=\:\frac{80}{40},\:AJ\:=\:\frac{1}{2}\left(60\right)\:=\:30[/tex]
c.
[tex]\\\frac{48}{CT}\:=\:\frac{36}{36+24}\:=\:\frac{27}{AT},\\\\CT = CE + ET = 48 + 32 = 80\\\\\frac{48}{80}\:=\:\frac{36}{60}\:=\:\frac{27}{AT},\:0.6\:=\:\frac{27}{AT},\:AT\:=\:\frac{27}{0.6}\:=\:45[/tex]
d.
[tex]\frac{36+24+AJ}{12\:}=\:\frac{48+ET+40}{OS}\\\\\frac{36+24+30}{12}=\:\frac{48+32+40}{OS},\:\frac{90}{12}\:=\:\frac{120}{OS},\:OS\:=\:\frac{12\cdot 120\:}{90}=\:16[/tex]
e.
[tex]\frac{36+24}{36+24+AJ\:}=\:\frac{48+ET}{48+ET+40\:}=\:\frac{AT}{JO}\\\\\frac{60\:}{36+24+30}=\frac{\:48+32}{48+32+40}\:=\:\frac{45}{JO}\\\\\frac{60}{90}=\:\frac{80}{120}\:=\:\frac{45}{JO}\\\\JO\:=\:\frac{135}{2}\:=\:67.5[/tex]
f.
[tex]\frac{36+24+AJ\:}{36+24+AJ+12}=\frac{\:48+ET+40}{48+ET+40+OS}\:=\:\frac{JO}{NS}\\\\\frac{90}{102}\:=\:\frac{120}{136}\:=\:\frac{67.5}{NS}\\\\NS\:=\:\frac{136\cdot 67.5}{120}=\:76.5[/tex]
[tex].072 \div 345.00[/tex]
round in nearest tenth
1. What concept does this picture illustrate?
A. radiation
B. conduction
c . contraction
D. convec
Answer:
c
Step-by-step explanation:
Answer:
Convection.
Step-by-step explanation:
Convection is where warm air rises and cool air falls. This picture is an example of Convection.
WILL GIVE BRAINLIEST
A circle is divided into 4 slices. The slices are arranged into the shape shown.
What shape would you get closer to if you kept cutting the circle into more
and more slices?
A. A circle, and then a cone
B. A parallelogram, and then a rectangle
C. A parallelogram, and then a triangle
D. A triangle, and then a trapezoid
Answer:
B
Step-by-step explanation:
A p e x :3
Answer: B a parallelogram and then a rectangle
Step-by-step explanation:
(6x-3)(4x-1) standard form
Answer:
6x+3
Step-by-step explanation:
24x-6x-12x+3
6x+3
I need help please.
Answer I think D, I would never choose b :
Step-by-step explanation:
help please! I added extra points
Answer:
a
Step-by-step explanation:
Answer:
A. The first option.
Step-by-step explanation:
Using the distributive property you can see that when you distribute them you would get something like (8 x 4) + (3 x 4) = 44. The first option is the only one that states this.
Hope this helps :)
Henry has 96 marbles. he is packing containers with 8 marbles in each container. how many containers, c, does Henry need to pack all the marbles?
Any one know the answer for these two it’s OK if you can only do one
Answer:
3) 10
4) 12
Step-by-step explanation:
It’s the Pythagorean Theorem.
3) 6²+8²=c²
36+64=c²
100=c²
√100=c
c=10
4) 7.2²+9.6²=c²
51.84+92.16=c²
144=c²
√144=c
c=12
Answer:
c = 10km
Step-by-step explanation:
This is for #3.
Pythagoream Theoreom formula: a^2 + b^2 = c^2
Plug in the numbers into the formula and simplify.
8^2 + 6^2 = c^2
64 + 36 = c^2
100 = c^2
√100 = 10
c = 10km
Hope this helps!:)
(-1/4) divided by 2/3 times (-1/2)
Answer:
Step-by-step explanation:
3/16
Answer:
3/16
Step-by-step explanation:
-1/4*3/2*-1/2
1/8*3/2
3/16
What is the slope of X= -15
Answer:
Step-by-step explanation:
Since x = -15 is a vertical line, their is no y- intercept and the slope is undefined
22
g(x) =
*+
+7
What is the average rate of change of g over the interval —2, 4):
Answer:
[tex]Rate = 1[/tex]
Step-by-step explanation:
Given
[tex]g(x) = x + 7[/tex]
Interval: (-2,4)
Required
Determine the average rate of change
This is calculated using:
[tex]Rate = \frac{g(b) - g(a)}{b-a}[/tex]
Where:
[tex](a,b) = (-2,4)[/tex]
So, we have:
[tex]Rate = \frac{g(4) - g(-2)}{4-(-2)}[/tex]
[tex]Rate = \frac{g(4) - g(-2)}{4+2}[/tex]
[tex]Rate = \frac{g(4) - g(-2)}{6}[/tex]
Calculate g(4) and g(-2)
[tex]g(4) = 4 + 7 = 11[/tex]
[tex]g(-2) = -2 + 7 = 5[/tex]
So:
[tex]Rate = \frac{11 - 5}{6}[/tex]
[tex]Rate = \frac{6}{6}[/tex]
[tex]Rate = 1[/tex]
Hence, the average rate of change is 1
Find the probability.
You roll a fair six-sided die. The die shows a three or a five.
Answer:
b) 0.333
Step-by-step explanation:
there are 6 options that you can get when you roll a dice. 1, 2, 3, 4, 5, 6. if you want to get a 3 or a 5, that means you want 2/6 possible outcomes. 2/6 is 0.333
The ratio of math teachers to choir teachers is 3:2 respectively. There are 12 math teachers. How many math and choir teachers are there all together?
Answer:
Hi liddywiddy, sorry you had to wait so long
There are 20 teachers in all
Step-by-step explanation:
the ratio 3:2 is now 12:x
12 / 3 = 4
so the multiplier is 4
now:
4x2 = 8
Next we add them: 12+ 8 = 20
Answer:
20 teachers in all
Step-by-step explanation:
12 / 3 = 4,
4 * 2 = 8,
so 12 + 8 = 20
The radius of a circle is 20 cm. Find its circumference in terms of Pi
Based on the calculations, the circumference of this circle in terms of Pi is equal to [tex]40\pi\;cm[/tex].
How to calculate the circumference of a circle.Mathematically, the circumference of a circle is given by the formula:
[tex]Circumference = 2\pi r[/tex]
Where:
r is the radius of a circle.Given the following data:
Radius of a circle = 75 in.
[tex]\pi = 3.14[/tex]
Substituting the given parameters into the formula, we have;
[tex]Circumference = 2\pi \times 20\\\\Circumference = 40\pi\;cm[/tex]
Read more on circumference here: brainly.com/question/14478195
What is the simplified form of i^15?
O A. -1
O B. 1
O C. -i
O D. i
Answer:
the answer is B........
The area of a rectangular rug is 15 feet squared. If the width of the rug is 3 feet, what is the length of the rug.
Answer:
5
Step-by-step explanation:
if the area is 15 you would divide 15 by 3 and you'll get the length of 5
Answer:
5 feet
Step-by-step explanation:
-4x = 7y + 13
Find the slope of the line
Answer:
-4/7
Step-by-step explanation:
The first step of this problem would be changing the format of the equation so that it fits into slope-intercept form.
-4x = 7y + 13
-4x -7y = 13 (subtract 7y from both sides)
-7y = 4x + 13 (add 4x to both sides)
7y = -4x -13 (divide both sides by -1)
y = -4/7x - 13/7 (divide both sides by 7)
Now that it is in slope-intercept form, finding the slope is simple as long as you know what to look for.
Remember that y is simply a variable, just because it is at the beginning of the equation does not mean -4/7x - 13/7 is the answer. The question is asking specifically for the slope of the line. Slope in this equation is m. If y = mx + b, then m = -4/7.
The slope of the line is -4/7.
Two trains, Train A and Train B, weigh a total of 389 tons. Train A is heavier than Train B. The difference of their weights is 263 tons. What is the weight of each train? Equation 1: ____________ Equation 2: ___________ Train A weight: ________ Train B weight: ________
9514 1404 393
Answer:
A + B = 389A - B = 263A = 326 tonsB = 63 tonsStep-by-step explanation:
The first equation is an expression of the first given relationship:
A + B = 389 . . . . . . where A and B represents trains weights, respectively
The second equation is an expression of the relationship described in the next two sentences:
A - B = 263
__
These equations can be solved by adding them together:
(A +B) +(A -B) = 389 +263
2A = 652 . . . . . . simplify
A = 326 . . . . . . . .divide by 2*
B = 326 -263 = 63
Train A weighs 326 tons.
Train B weighs 63 tons.
_____
* You may notice that this value is the average of the given sum and difference. That observation is true of all "sum and difference" problems.
solve the systems of equations y=2x and y=-x - 6
Answer:
y = -4
x = -2
Step-by-step explanation:
Hi there...
y = 2x
y = -x - 6
Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...
2x = -x - 6
add x on both sides...
3x = -6
divide by 3 on both sides...
x = -2
Now, plug in x for y. Here's what I mean...
y = 2x
y = 2 (-2)
y = -4
Hope this helps :)
What is tan K? i need help ..
[tex] \huge \purple{\tt{Answer:}} [/tex]
[tex]\sf {tan~K} = \sf{{\dfrac{opposite~side}{adjacent~side}}} =\sf{{\dfrac{24}{51}}} [/tex]
None of the answers are correct
Six Pepperidge Farm bagels were weighed, yielding the following data (grams):
117.6
109.5
111.6
109.2
119.1
110.8
(Note: 4 ounces = 113.4 grams)
a. Assuming that the six bagels are a random sample and the weight is normally distributed, estimate the true average weight and standard deviation of the weight using maximum likelihood.
b. Again assuming a normal distribution, estimate the weight below which 95% of all bagels will have their weights. (Hint: What is the 95th percentile in terms of μ and σ? Now use the invariance principle.)
Answer:
A) Average weight = 112.97
standard deviation = 3.913
B) 119.4069
Step-by-step explanation:
A) Estimate the true average weight and standard deviation of the weight
attached below is a detailed solution
Average weight = 112.97
standard deviation = 3.913
B) Assuming a normal distribution Estimate the weight below
attached below is a detailed solution
= 119.4069