Answer:
16.12 mi²
Step-by-step explanation:
The formula for the area of a trapezoid is A = 1/2h([tex]b_{1} +b_{2}[/tex]), where [tex]b_{1}[/tex] stands for base 1, and [tex]b_{2}[/tex] represents base 2. Plugging in the given values, we have A = 1/2(3.1)(8.3 + 2.1). Now we can solve.
------------------------------
A = 1/2(3.1)(8.3 + 2.1)
1/2(3.1)(10.4)
1.55(10.4)
= 16.12 mi²
hope this helps!
what is 4 over 10 plus 88 over 100
Answer:
1.28
Step-by-step explanation:
4/10 + 88/100
so this is unlike denominators so
4 times 10 and 10 times 10 equal to 40/100
so 40/100 + 88/100 equal to 128/100 so we simplify 128÷2 and 100÷2 equal to 64/50 and 64÷2 and 50÷2 equals 32/25 we do long division then it is equal to 1.28
What’s the chord BC?
Answer:
D) 3.8 cm
Step-by-step explanation:
There are several ways this problem can be solved. Maybe the easiest is to use the Law of Cosines to find angle BAC. Then trig functions can be used to find the length of the chord.
__
In triangle BAC, the Law of Cosines tells us ...
a² = b² +c² -2bc·cos(A)
A = arccos((b² +c² -a²)/(2bc)) = arccos((8² +6² -3²)/(2·8·6)) = arccos(91/96)
A ≈ 18.573°
The measure of half the chord is AB times the sine of this angle:
BD = 2(AB·sin(A)) ≈ 3.82222
The length of the common chord is about 3.8 cm.
_____
Additional comment
Another solution can be found using Heron's formula to find the area of triangle ABC. From that, its altitude can be found.
Area ABC = √(s(s-a)(s-b)(s-c)) . . . . where s=(a+b+c)/2
s=(3+8+6)/2 = 8.5
A = √(8.5(8.5 -3)(8.5 -8)(8.5 -6)) = √54.4375 ≈ 7.64444
The altitude of triangle ABC to segment AC is given by ...
A = 1/2bh
h = 2A/b = 2(7.64444)/8 = 1.911111
BD = 2h = 3.822222
hey can someone help me find the area of these two pls
Answer:
4) 34.1 ft²
6) 9.9 ft²
Step-by-step explanation:
The formula for the area of a triangle is A = 1/2 × b × h.
Plugging in the givn values, we have the equations: A = 1/2 × 11 × 6.2 and A = 1/2 × 6 × 3.3. Now we can solve.
--------------------------
4) A = 1/2 × 11 × 6.2
5.5 × 6.2 = 34.1 ft²
--------------------------
6) A = 1/2 × 6 × 3.3
3 × 3.3 = 9.9 ft²
hope this helps!
Weight
Price
3 Oz
$10.00
OZ
$15.00
Answer:weight and the Oz would be the same for both problems
Step-by-step explanation:
tial growth and decay: word problems UKG
You have prizes to res
In Booneville, the use of landlines has been declining at a rate of 20% every year. If there are
25,300 landlines this year, how many will there be in 5 years?
If necessary, round your answer to the nearest whole number.
landlines
Using an exponential function, it is found that there will be 8290 landlines in 5 years.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, we have that the initial value and the decay rate are given as follows:
A(0) = 25300, r = 0.2.
Hence the function is given by:
[tex]A(t) = 25300(0.8)^t[/tex]
In t = 5 years, the amount of landlines will be given by:
[tex]A(5) = 25300(0.8)^5 = 8290[/tex]
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*BRAINLIEST* and 100 points (EASY Question: Warm Up)
Find a positive solution to each equation: x2 = 36
A.x = 4
B.x = 6
C.x = 9
D.x = 12
E.No positive solution
Show Step-By-Step Explanation for *BRAINLIEST*
Answer:
B. x = 6
Explanation:
[tex]\rightarrow \sf x^2 = 36[/tex]
[tex]\rightarrow \sf x= \pm \sqrt{36}[/tex]
[tex]\rightarrow \sf x= \pm 6[/tex]
[tex]\rightarrow \sf x= +6, \ -6[/tex]
As asked for positive, (+)
[tex]\rightarrow \sf x = 6[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} = 36[/tex]
[tex]\qquad \sf \dashrightarrow \:x = \sqrt{36} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \pm6[/tex]
but since we gave been asked to find positive solution, it's 6
So, correct choice is B. x = 6
Adrian's computer cost 20% less than Jocelyn's computer. Adrian's computer cost $640. Adrian's computer cost 15% more than Corbin's computer. (50 Points)
Answer:
640 = .8j
640 = 1.15c
Step-by-step explanation:
Let j = cost of Jocelyn's computer
c = cost of Corbin's computer
We know that Adrian's computer costs $640.
Since Adrian's computer costs 20% less than Jocelyn's computer, the cost of Adrian's computer is 80% of (.8 times)the cost of Jocelyn's computer, so 640 = .8j
Since Adrian's computer costs 15% more than Corbin's computer, the cost of Adrian's computer is 115% of (1.15 times) the cost of Corbin's computer, so 640 = 1.15c
Answer:
640 = .8j
640 = 1.15c
Step-by-step explanation:
A local road has a grade of 10%. The grade of a road is its slope expressed as a percent. Find the slope of the road as a fraction, and then simplify.
Answer:
1/10
Step-by-step explanation:
You can convert a percentage to a fraction by dividing it by 100%.
__
10% = 10%/100% = 10/100 = 1/10
The slope of the road is 1/10.
Which property is illustrated by the following statement? A. Reflexive B. Commutative C. Transitive D. Symmetric
Answer:
D. Symmetric
Step-by-step explanation:
The symmetric property of congruence says, for objects A and B, ...
if A ≅ B, then B ≅ A.
__
The symmetric property of congruence makes your statement true:
if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA
__
Additional comment
The other answer choices involve other properties:
Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA
Commutative -- certain operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)
Transitive -- if A ≅ B and B ≅ C, then A ≅ C.
The property which is illustrated by the given statement is Symmetric property.
What is Reflexive property?Reflexive property states that for any number, c, the number is equal to itself.
Or in case of expressions, a + b = a + b.
Symmetric property states that, for any numbers m and n,
If m = n then n = m.
Transitive property states that, for any numbers m, n and o,
If m = n and n = o, then m = o.
Commutative property is for operation of numbers.
a + b = b + c
Given statement is If, ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA.
This is symmetric statement.
Hence the correct option is D.
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Find the perimeter of the larger octagon
City park is rectangular in shape and has side length of 15 and 20. City planners want to construct two walkways such that each one connects the corner of the park as shown.
The statement that is not true is the walkways will create a 90 degree angle when they intersect.
Which statement is not true?The shape shown is a rectangle. A rectangle is a four sided quadrilateral with opposite equal sides. The walkway is along the diagonals of the rectangle.
The diagonals are of equal length. The diagonals bisect each other and form to two congruent right angle triangles.
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Tram Fancy Balloons has offered to sell its balloon bouquet for a fixed down payment of $30 and an additional charge of $3 25 per bouquet
Write an algebraic rule that will determine the cost of "c" balloon bouquets
Answer:
y = 30 + 3.25c
(where y is the total cost in dollars, and c is the number of balloon bouquets)
Step-by-step explanation:
Let y = total cost (in dollars)
Let c = number of balloon bouquets
Given:
Fixed payment = $30Charge per bouquet = $3.25⇒ y = 30 + 3.25c
Y inetercept:-
Fixed payment=30Rate of change=3.25
So
No of balloons=cCost be Y
Y=3.25c+30solve the equation by the method of substitution x-y=1,6x-5y=11
Answer:
x=6, y=5
Step-by-step explanation:
plug it in!
Answer:
Step-by-step explanation:
-5x + 5y = -5
6x - 5y = 11
x = 6
6 - y = 1
-y = -5
y = 5
(6, 5)
Please i really need help pelase
The quotient is 4x+2 and remainder is +6
What is long division?In math, long division is a method used for dividing large numbers into groups or parts.
The long division helps in breaking the division problem into a sequence of easier steps.
Just like all division problems, a large number, which is the dividend, is divided by another number, which is called the divisor, to give a result called the quotient and sometimes a remainder.
The long division of
(4x²-2+4)÷(x+1), is attached below.
Hence, The quotient is 4x+2 and remainder is +6.
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PLEASE HELP PLEASE PLEASE
Coordinate pairs are organized like (x,y).
x tells us the location of the point in relation to the x-axis, the axis that is horizontal.y tells us the location of the point in relation to the y-axis, the axis that is vertical.To determine a coordinate pair, we can determine each coordinate individually, then put them together.
Solving the QuestionNotice how the red point sits on the very edge of the graph.
When we look at the x-axis, we can see that it occurs at the number 0 on the x-axis. In other words, the red point occurs when x=0.
When we look at the y-axis, we can see that it lines up with the number 2. In other words, the red point occurs when y=2.
Therefore, when we put the two coordinates together like (x,y), we get (0,2).
Answer(0,2)
Which is the graph of the line with equation y−4=2(x+1)?
Number graph ranging from negative three to three on the x axis and negative seven to one on the y axis. A line is drawn on the graph that passes through the points (zero, negative six) and (three, zero).
Number graph ranging from negative four to three on the x axis and negative five to two on the y axis. A line is drawn on the graph that passes through the points (zero, negative four) and (one, zero).
Number graph ranging from negative three to three on the x axis and negative two to four on the y axis. A line is drawn on the graph that passes through the points (negative one, zero) and (zero, four).
Number graph ranging from negative three to three on the x axis and negative one to six on the y axis. A line is drawn on the graph that passes through the points (negative three, zero) and (zero, six).
Answer:
Number graph ranging from negative three to three on the x axis and negative one to six on the y axis. A line is drawn on the graph that passes through the points (negative three, zero) and (zero, six).
Step-by-step explanation:
Simplified y-4 = 2(x + 1) ⇒ y = 2x + 6
Graphed function on desmos graphing calculator
Matched the through points of option #4, (-3, 0) and (0 ,6) to the graph.
Answer: D. "Number graph ranging from negative three to three on the x axis and negative two to four on the y axis. A line is drawn on the graph that passes through the points (negative one, zero) and (zero, four)."
Step-by-step explanation:
We know that our graph passes through two given sets of points, therefore we can plug in those points to find the correct answer.
Let's test it with choice A. It gives us the points (0,-6) and (3,0). We can plug these into the equation to see if it is true. y-4 = 2(x+1) becomes
-6-4 = 2(3+1), or -10 = 8 which is not true, so we can eliminate it.
Choice B gives us (0,-4) and (1,0) -4-4 = 2(0+1) or -8 = 2, this one is wrong.
Choice C gives us (-1,0), so 0-4 = 2(-1+1) or -4 = 0, this one is also wrong.
Choice D gives us (-3,0) so 0-4 = 2(-3+1) or -4 = -4. This is the only option which has a correct solution, and therefore it is your answer.
What is the measure of the unknown angle?
Image of a full circle divided into two angles. One angle is fifty degrees and the other is unknown
Group of answer choices
300°
305°
310°
Answer:
its C 305
Step-by-step explanation:
ik this i got a 100 rofl
Please show your work and I'll mark brainliest if you do! Thank you :)
Answer:
42 cm
Step-by-step explanation:
So, the dimensions of the square are 6*6, so we can find the area of that easily. 6*6 is 36. Now, we have to find the area of the triangle. Since 6 of the 8 cm across were used for the square, we only have 2 cm left to work with. The height of the triangle is 6. The formula to find the area of a triangle is 1/2(b)h. That would mean 1/2*2, which is 1, and then 1*6, which is 6. Finally, we add the areas of both shapes, which is 6 and 36, and we get 42.
Hope this helped!
The diameter of a circle is 38 inches. What is the circle's circumference?
Use 3.14 for .
Answer:
119.32
Step-by-step explanation:
+ C:/Users/pertunia/Desktop/IQTT5111A1_FT.pdf 2022 21; 22 Q.3.1 Determine the % marks that the students obtained for each of the modules, given that: Q.3.1.1 The total number of marks available for the Statistics module was 600. (4) Determine this by entering an appropriate formula in cells C2 to C12
The question is an illustration of Excel formulas, and the formula to enter in cell C2 is: =(B2/600)
How to determine the % marks that the students obtained?To enter a formula in Microsoft Office Excel, we make use of the following syntax:
= (Formula)
From the question, the total score is 600.
So, the formula to enter in cell C2 is:
=(B2/600)
Next, drag the content of cell B2 through cell C12.
This is to ensure that all cells C2 to C12 have the appropriate formula.
Lastly, following the highlighted steps to show the result as percentage
Go to the home tabSelect the number groupClick the Percent Style button Increase the number of decimal places, as desired.Read more about Excel formulas at:
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Estimate the difference of 621 - 267
by rounding to the nearest hundred.
Answer:
300
Step-by-step explanation:
621 rounds to 600 because 21 is smaller than 50. 267 round to 300 since 67 is bigger than 50.
600-300=300
Read the following actions and decide if they are risks or costs.
fire:
employee salaries:
theft:
health insurance for your employees:
losing important data from the computer network:
taxes:
employee injury:
Answer:
fire: risk
Employee salaries: cost
theft: risk
health insurance for employees: cost
losing important data from computer: cost
taxes: cost
employee injury: cost
PLEASE HELP!
Correct answers will be mark as brainliest
Wrong answers will be reported immediately
Answer:
a. 7
b. 50
c. 11?
d. 8
Step-by-step explanation:
I think these are right
Help with 1-5! I will give 100 points
Answer:
See below ~
Step-by-step explanation:
Solutions :
6. Domain of the graph
⇒ Minimum value : x = -2
⇒ Maximum value : x = 6
⇒ Domain = [-2, 6]
===============================================================
7. Range of the graph
⇒ Minimum value : y = 0
⇒ Maximum value : y = 5
⇒ Range = [0, 5]
=============================================================
8. Function increasing
⇒ It is increasing from x = -2 to x = 1
⇒ Interval is : [-2, 1]
=============================================================
9. Function decreasing
⇒ It decreases from x = 4 to x = 6
⇒ Interval is : [4, 6]
=============================================================
10. Function constant
⇒ It remains constant from x = 1 to x = 4
⇒ Interval is : [1, 4]
1) [-2, 6]2) [0, 5]3) [-2, 1]4) [4, 6]5) [1, 4]Explanation:
1) Domain of a graph lies in the x axis: -2 ≤ x ≤ 6
In Interval Notation: [-2, 6]
2) Range of a graph lies in the y axis: 0 ≤ f(x) ≤ 5
In Interval Notation: [0, 5]
3) Interval where the function is increasing: -2 ≤ x ≤ 1
Interval Notation: [-2, 1]
4) Interval where the function is increasing: 4 ≤ x ≤ 6
Interval Notation: [4, 6]
5) Interval where the function is constant: 1 ≤ x ≤ 4
Interval Notation: [1, 4]
The hundred meter dash is marked with a blue line the 400 meter dash is marked with a red line how much further is the red line
Answer:
the red line is 300 meters further
Step-by-step explanation:
since you have 100 meters as the blue line you add 300 meters th get to the 400 meters red line
2. Faith opens a credit card with an APR of 16.50% compounded monthly. How much is charged in interest this month if her
balance is $1,050? (4 points)
$173.25
$87.50
$16.50
$14.44
Answer:
14.44 (Letter D)
Step-by-step explanation:
The answer is 14.44
Hopefully its correct!!!
A total of 800 tickets were sold for the school play. They were either adult tickets or student tickets. There were 50 more student tickets sold than adult tickets.
How many adult tickets were sold?
Using Euler's formula, how many
faces does a polyhedron with
20 vertices and 30 edges have?
?] faces
Answer:
Faces = 12
Step-by-step explanation:
Given: V = 20, E = 30To find: F Euler's formula is given as: F + V - E = 2Plugging the values of V and E in the above formula, we find:F + 20 - 30 = 2-> F - 10 = 2-> F = 2 + 10-> F = 122 What value of x will make the equation
1
rue? (8x – 20) – 16 = 10x + 51
=
-
4
A -4
3 5
9
no
-- 9
Answer:
x = - 43.5
Step-by-step explanation:
Step 1 : Simplify the given equation.
(8x - 20) - 16 = 10x + 51
8x - 20 - 16 = 10x + 51
8x - 36 = 10x + 51
Step 2 : Add/Subtract the alphabetical terms and numerical terms separately.
8x - 36 = 10x + 51
Step 3 : Add 36 on both sides.
8x = 10x + 51 + 36
8x = 10x + 87
Step 4 : Subtract 10x on both sides.
8x - 10x = 87
- 2x = 87
Step 5 : Divide - 2 on both sides.
x = 87/-2
x = - 87/2 (answer in terms of fraction)
x = - 43.5 (answer in terms of decimal)
Hence,
The value of x is - 43.5
Christine runs 5 miles in 46 minutes. How many minutes does she take per mile.
Answer:
9.2 Minutes
Step-by-step explanation:
46 minutes divided by 5 miles is equal to 9.2 minutes per mile
Answer:
9.2
Step-by-step explanation:
To find minutes per mile, divide minutes by miles:
(46 min)/(5 mi) = 9.2 min/mi
On average, it takes 9.2 minutes for Christine to run a mile.