Mr. Nelson is buying property in the shape of a triangle to build a new house. If the property costs $42.50 per square foot, how much will he pay?
Answers
a=h(b/2)
a=47(98/2)
a=47(49)
a=2303
Now, you multiply that by $42.50 to find out how much he will pay.
2,303x42.50=97,877.50.
He will pay $97,877.50.
The figure shows a base of 98 ft and a height of 47 ft.
[tex] A = \dfrac{bh}{2} [/tex]
[tex] A = \dfrac{98~ft \times 47~ft}{2} [/tex]
[tex] A = 2,303 ~ft^2 [/tex]
Now that we know the area, we multiply it by the cost of the land per square foot.
2,303 ft^2 * $42.50/ft^2 = $97,877.50
He must pay $97,877.50
Related Questions
what is the answer to 2/3(5x+6)=34
Answers
The solution is x= 9.
Simplify both sides, then isolate the variable.
Have a terrific day and let me know if you have more questions!
~Brooke❤️
The gray area is the sidewalk. The area of the sidewalk is ___________ square units.
A) 48
B) 56
C) 72
D) 84
Answers
The answer is C: 72
Answer: 72
Step-by-step explanation: i did it a got it right
Suppose you have to use right-triangle trigonometry to find the apothem of a regular polygon. Which is greater, the apothem or the radius of the polygon?
Answers
In a regular polygon, the apothem is the distance from the center to the midpoint of a side, whereas the radius is the distance from the center to a vertex. Because the radius is the hypotenuse in a right triangle formed within the polygon, as per the Pythagorean theorem, it is always longer than the apothem.
Explanation:In the context of a regular polygon, the apothem is defined as the distance from the center of the polygon to the midpoint of any side. The radius, on the other hand, is defined as the distance from the center to any of the vertices. Since a regular polygon's sides and angles are equal, one can observe that its apothem is always smaller than its radius.
In order to illustrate this, consider a right triangle formed by the radius, the apothem, and half the length of a side. By using the Pythagorean theorem (a² + b² = c²), we know that the radius (or hypotenuse) is the longest side, and therefore greater than the apothem (one of the perpendicular sides).
Simply put, the radius is always greater than the apothem in a regular polygon.
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The radius of a regular polygon is always greater than the apothem.
To determine if the apothem or the radius of a regular polygon is greater, we can use a right-triangle trigonometry approach. Here's a step-by-step explanation:
Consider a regular polygon with n sides inscribed in a circle. The circle's radius is r, and this radius is the hypotenuse of a right triangle formed by the radius, the apothem a, and half the length of one side of the polygon.The apothem is the perpendicular distance from the center of the polygon to the midpoint of one of its sides.Since the hypotenuse of a right triangle is always the longest side, the radius (r) is always greater than the apothem (a) according to the Pythagorean theorem.For example, in a regular hexagon, the radius is twice the apothem, clearly illustrating this relationship.Therefore, in any regular polygon, the apothem is always less than the radius, as the hypotenuse (radius) is the longest side in the right triangle formed by the apothem and half the length of a side of the polygon.
relay race. To start, you must run 20 yards to Checkpoint A. You then must turn and run 12 yards to Checkpoint B. Last, you must turn and run back to the starting line. What is the distance from Checkpoint B to the starting line?
Answers
A^2+B^2=C^2 (subtract B^2 from both sides)
A^2=C^2-B^2 (now take the square root of both sides)
A=[tex] \sqrt{C^2-B^2} [/tex]
Add in your numbers now and you get
A=[tex] \sqrt{20^2-12^2} [/tex]
A= 16 yards
The distance from checkpoint B to the starting line for the given right-angle triangle will be 16 yards.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
As per the given right angle triangle,
Suppose the missing length is x.
By Pythagoras' theorem,
x = √(20² - 12²)
x = √(400 - 144) = √256 = 16
Hence "The distance from checkpoint B to the starting line for the given right-angle triangle will be 16 yards".
For more information about triangles,
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I need help on number 11 please explain thanks! :)
Answers
Part 1!
I REALLY, REALLY NEED HELP ON THIS QUESTION!!!!!!!! 50 POINTS!!!!!!!!! WILL GIVE THE BRAINLIEST TO CORRECT ANSWER!!!!!!!!!!!!! nth term
__________________________________________________________________________________________
Look at the picture!
*******If you don't answer with correct answers or give something absurd or don't give enough details, your answer WILL BE REPORTED AND DELETED AND YOU WILL LOSE THE POINTS FOR THIS QUESTION!!!!!
Answers
That means x = 5. Substitute 5 into the equation for x.
f(n) = 7 - 4(5 - 1)
Subtract 5 - 1.
f(n) = 7 - 4(4)
Multiply 4 by 4.
f(n) = 7 - 16
Subtract 16 from 7.
f(n) = -9
The answer is D.
2. Since we have to find the first 4 terms, we have to solve for x = 1, 2, 3, & 4.
Multiply 1, 2, 3, and 4 by 6. We now have:
f(x) = 6 - 25 f(x) = 12 - 25 f(x) = 18 - 25 f(x) = 24 - 25
Subtract 25 from the first term: 6, 12, 18, and 24.
f(x) = -19 f(x) = -13 f(x) = -7 f(x) = -1
The answer is C.
3. Now, we have to find the first 3 terms of f(x) = 10(2)^x. So x is 1, 2, & 3.
Raise 2 to the powers of 1, 2, and 3. The equations are now:
f(x) = 10(2) f(x) = 10(4) f(x) = 10(8)
Then multiply 10 by the three terms: 2, 4, and 8.
f(x) = 20 f(x) = 40 f(x) = 80
The answer is A.
4. Find the 21st term of f(n) = 2 + 9(n - 1). Substitute 21 for n.
f(n) = 2 + 9(21 - 1)
Subtract 1 from 21.
f(n) = 2 + 9(20)
Multiply 9 by 20.
f(n) = 2 + 180
Add 2 to 180.
f(n) = 182
The answer is B.
5. Which sequence is described by f(n) = 2(3)^x-5.
This is the only one which I'm not sure how to solve. Since I don't know, I won't answer it because I don't want to give you the wrong answer to the question, sorry about that.
6. The ninth term in f(n) = 384(1/2)^n-1. Put 9 in for n & subtract 1 from 9.
f(n) = 384(1/2)^8
Raise 1/2 to the power of 8.
f(n) = 384(1/256)
Multiply 1/256 by 384.
f(n) = 384/256
Reduce the fraction & make it a mixed number.
f(n) = 1 1/2
Hope this helped!
Answer:
thats harsh I`m sure you can afford to miss a few questions just be glad he helped you and if you cant the you should have studied harder
Step-by-step explanation:
The area of rectangle A is 11/12 square meters.The area of rectangle B is 8/12 square meters.How much larger is rectangle A?
Answers
Rectangle A is 1/4 m² larger than rectangle B
Explanation:
We are given that:
Area of triangle A = 11/12 m²
Area of rectangle B = 8/12 m²
To know how much larger is rectangle A than rectangle B, all we have to do is subtract the area of rectangle B from rectangle A as follows:
Difference in area = 11/12 - 8/12 = 3/12 = 1/4 m²
This means that rectangle A is 1/4 m² larger than rectangle B.
Hope this helps :)
a line with a slope of 1/8 passes through the points (u, -9) and (6, -8). what is the value of u?
Answers
u = -2
Explanation:
Slope of the line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)
We are given :
slope = 1/8
point (u,-9) represent (x1,y1)
point (6,-8) represent (x2,y2)
Substitute with the givens in the above equation and solve for u as follows:
slope = (y2-y1) / (x2-x1)
1/8 = (-8--9) / (6-u)
1/8 = (1) / (6-u)
1* (6-u) = 1*8
6-u = 8
u = 6-8
u = -2
Hope this helps :)
A hair company makes three batches of scented shampoo using the recipe shown. Each batch contains a different total amount of shampoo. 1/2 is pineapple, 1/5 is banana, 3/10 is coconut.
Batch 1:
Pineapple
Banana
Coconut is 2 1/10
Batch 2:
Pineapple
Banana is 3 1/5
Coconut
Batch 3:
Pineapple is 2 1/2
Banana
Coconut
Answers
Answer:
Batch 1: Pineapple = 3 1/2; Banana = 1 2/5
Batch 2: Pineapple = 8; Coconut = 4 4/5
Batch 3: Banana = 1; Coconut = 1 1/2
Step-by-step explanation:
For Batch 1:
We know that coconut is 3/10 of the mixture, and we have 2 1/10 coconut:
3/10x = 2 1/10
Converting 2 1/10 to an improper fraction, we have
3/10x = 21/10
Divide both sides by 3/10:
3/10x ÷ 3/10 = 21/10 ÷ 3/10
To divide fractions, flip the second one and multiply:
x = 21/10 × 10/3 = 210/30 = 7
This means we have 7 total of the mixture.
1/2 of this is pineapple: 1/2(7) = 7/2 = 3 1/2
1/5 is banana: 1/5(7) = 7/5 = 1 2/5
For Batch 2:
1/5 of the total is banana; we have 3 1/5 banana:
1/5x = 3 1/5
Convert the second fraction to an improper fraction:
1/5x = 16/5
Divide both sides by 1/5:
1/5x÷1/5 = 16/5÷1/5
Flip the second fraction and multiply:
x = 16/5×5/1 = 80/5 = 16
We have 16 of the total shampoo.
Pineapple is 1/2 of this:
1/2(16) = 8
Coconut is 3/10 of the total:
3/10(16) = 48/10 = 4 8/10 = 4 4/5
For Batch 3:
Pineapple is 1/2 of the total. We have 2 1/2 pineapple:
1/2x = 2 1/2
Convert the fraction on the right to improper:
1/2x = 5/2
Divide both sides by 1/2:
1/2x÷1/2 = 5/2÷1/2
Flip the second fraction and multiply:
x = 5/2×2/1 = 10/2 = 5
We have 5 total shampoo.
Banana is 1/5 of this:
1/5(5) = 1
Coconut is 3/10 of this:
3/10(5) = 15/10 = 1 5/10 = 1 1/2
Definition of classic probability
Answers
Probability is the likelihood, or chance, that a certain event will occur. The easiest way to understand probability is with coin tosses. Probability can also be applied in various fields such as medicine and stock market.
Explanation:Probability is the likelihood, or chance, that a certain event will occur. The easiest way to understand probability is with coin tosses.
When you toss a coin, the chance of a head turning up is 50 percent. This is because a coin has only two sides, so there is an equal chance of a head or tail turning up on any given toss.
Probability can also be applied in various fields. For example, doctors use probability to determine the chance of a vaccination causing the disease the vaccination is supposed to prevent.
Stockbrokers use probability to determine the rate of return on a client's investments. In statistics, we study populations and use a sample to gain information about the larger population. Data are the result of sampling from a population.
there is a line whose slope is 1/6 and whose y-intercept is 4. what is its equation in slope intetecept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y= x +
Answers
this is in slope-intercept form which is y = mx + b
m is the slop and b is the y-intercept
PLEASE HELP ME I BEG YOU BRAINLIEST ALWAYS!!!!!
Answers
CBC
The measure of an inscribed angle is half the measure of the arc it intercepts. The sum of all arcs in a circle is 360°. Inscribed angles that intercept the same arc are congruent. Pretty simple algebra and geometry. It should take you less time to work these than it does to post them.
Draw Three triangles One equilateral one isosceles and one scalene label Each and explain how you classified each triangle
Answers
Here are the definitions of each:
1. Equilateral- this triangle has side lengths that are all the same (congruent).
2. Isosceles-this triangle has exactly 2 sides that are the same length(congruent).
3. Scalene- this triangle has no sides that are the same length.
list of all the dimensions you can make for rectangular prisms with 12cm linking cubes
Answers
1) 12 x 1 x 1
2) 6 x 2 x 1
3) 3 x 4 x 1
4) 3 x 2 x 2
3 + d < 3 – d. Solve
Answers
3 + d = 3 - d
add d to both sides
3 + 2d = 3
Subtract 3 from both sides
2d = 0
Now replace the = sign with the < sign again.
2d < 0
Divide both sides by 2 to get your final answer.
d < 0
If you are ever uncertain with an answer to an inequality, the best thing to do is plug in a random number! (In this case, make sure the number is less than 0)
3 + (-1) < 3 - (-1)
3 - 1 < 3 + 1
2 < 4
(-1) is less than zero, and when plugged into the inequality the values of the left side is less than the value of the right side. This shows that d IS < 0.
nicks telephone company charges 0.05 per min for weekend calls and $0.09 per minute for calls made on weekdays this month Nick was bailed 622 minutes these charges were 45.94 how many minutes did he talk on weekends and how many minutes did he talk on weekdays
Answers
Information Given
---------------------------------------------------------------------------------------------------
Weekends = $0.05
Weekdays = $0.09
Total duration = 622 mins
Total Amount = $45.94
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Assumed all are weekends
---------------------------------------------------------------------------------------------------
$0.05 x 622 = $31.10
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Difference in the amount
---------------------------------------------------------------------------------------------------
$45.94 - $31.10 = $14.84
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Difference in the weekdays and weekends charge
---------------------------------------------------------------------------------------------------
$0.09 - $0.05 = $0.04
---------------------------------------------------------------------------------------------------
Find weekdays minutes
---------------------------------------------------------------------------------------------------
$14.84 ÷ 0.04 = 371 mins
---------------------------------------------------------------------------------------------------
Find weekend minutes
---------------------------------------------------------------------------------------------------
622 - 371 = 251
---------------------------------------------------------------------------------------------------
Answer: Weekdays = 371 mins, weekends = 251 mins
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The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year. Which function equation represents the population of the city after t years?
Answers
_____
The multiplier from one year to the next is (1 -3.2%) = (1 -.032) = 0.968.
Answer:
This was the correct answer, I even provided proof from my own test. Hope this helps!
Step-by-step explanation:
Am I doing these right? Are these correct?
Answers
what is equivalent to ^3√8^x
Answers
[tex] \sqrt[3]{8}^x [/tex]
When writing in fraction - exponent form:
It will be [tex] \frac{power}{root} [/tex]
[tex]8^ \frac{x}{3} [/tex]
Your answer will be the third option
Here, you are trying to write a square root into fraction. To do that, you just have to apply the formula :
[tex]x ^\frac{power}{root} [/tex]
Then, here it gives [tex]8 ^\frac{x}{3} [/tex].
In short, the answer would be the option C.
Hope this helps !
Photon
PLEASE PLEASE MATH HELP WILL GIVE BRAINLIEST!!!
Angle K in △MKL is a right angle.
What is the value of tan M ?
8/15
8/17
15/8
15/17
Answers
_____________________________________________________
Remember:
" SOH CAH TOA " ;
_____________________________________________________
tan = opposite / adjacent;
tan "M" = 15/8 ; which is: Answer choice: [C]: " 15/8 " .
_____________________________________________________
Please do either 1,2,3 or 4
Answers
3. a)no because the 3 on the outside of the parentheses shifts the function up 3 not left 3
4. a) dilation
b) shift left or right
c) shift up or down
I’m not sure what the answer is
Answers
[tex] \frac{500}{1} = \frac{828}{x} [/tex]
500x = 828 (cross multiply)
x = 1.656 meters high should be the model (1.7 rounded)
Which expression is equal to 5p? p + p + p + p + p 4p + 1 p + 5 p3 + p2
Answers
The answer will have to be option D p3+p2.
Reason:
Using the method "combine like terms", you would combine 4p and 1p to get 5p which means the answer is option D.
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
The expression equal to 5p is Option A: p + p + p + p + p. Other options do not correctly represent the sum of five instances of p.
The correct expression that is equal to 5p is A. p + p + p + p + p. Let's break it down:
A. p + p + p + p + p adds the variable p five times, which by definition equals 5p.
B. 4p + 1 simplifies to 4p + 1, which is not equal to 5p because it includes an additional constant term.
C. p + 5 represents the variable p plus the number 5, which is not the same as multiplying p by 5.
D. p3 + p2 is a polynomial with different powers of p and does not simplify to 5p.
Therefore, option A is the correct answer.
Which expression is equal to 5p?
A. p + p + p + p + p
B. 4p + 1
C. p + 5
D. p3 + p2
PLEASE HELP!!!!!
The vertex angle of an isosceles triangle is 40 degrees less than the sum of the measures of the base angles. Determine the measure of the vertex angle.
Answers
Hey !!
Check the attachment.
Hence , the Vertex measures 70°
Hope it helps you :)
Now, x+x+(x-40)=180. Since sum of angles of a triangle
2x+(2x-40)=180
2x+2x-40=180
4x=180+40
4x=220
x=220/4
x=55
Now,they asked us vertex angle which is 40 degrees less than sum of base angles
Therefore x+x-40=vertex angle
2x-40=vertex angle
2(55)-40=vertex angle
110-40=vertex angle
Vertex angle =70 degrees
dividing fractions I don't know what it is and nits 6th grade divide fraction
Answers
to divide fraction do the following:
[tex]3 \frac{5}{8} = \frac{(8 \times 3) + 5}{8} [/tex]
simplify we get
[tex] \frac{29}{8} [/tex]
then to divide by 1/4 we need to flip it to 4/1 or just 4
[tex] \frac{29}{8} \div \frac{1}{4} = \frac{29}{8} \times \frac{4}{1} [/tex]
simplify and we get
[tex] \frac{116}{8} [/tex]
which equals 14.5 but you can't have half a person so the answer is:
[tex]14 \: \: coworkers[/tex]
Find the value of x. Round to the nearest tenth of the right triangle. hypotenuse is x, side leg is 12, and angle is 47
Answers
12sq+47sq=csq = 2353
144+2209=csq a ugly and hary long number
= 48.50773134253961
now round it to the nearest tenth
A student wrote this statement “a triangular prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism is 300 square inches.” Identify and correct the error
Answers
We observed that:
V = (15) * (20) = 300
The numeric value is correct.
However, the units are not because the volume is expressed in:
units ^ 3
Answer:
"a triangular prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism is 300 CUBIC inches. "
The unit rate in kilometers per minute for 18.25km in 1 h 45 minute
Answers
The formula for speed is distance divided by time. Plugging our data in, we have S=18.25/105, which is 10.4826 km/h, to find kilometres a minute, we need to divide our answer by 60. Our answer is 0.17471 km/m
What is 4(0.5x + 2.5y - 0.7y - 1.3y + 4) simplified?
Answers
multiply 4 by all in parentheses
(4*0.5x)+(4*2.5y)+(4*-7y)+(4*-1.3y)+(4*4
=2x+10y-28y-5.2y+16
combine like terms
=2x-23.2y+16
ANSWER:
Expression simplified 2x-23.2y+16
Hope this helps! :)
The surface area of a prism is Square units all measurements in the image below input whole number only
Answers
The area of the base is (3)(5.5), 16.5.
The area of the slanted rectangle is (5.5)(5), which is 27.5.
The area of the vertical rectangle is (4)(5.5), which is 22.
Adding these, we get 78.
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Hope this helps!