Multiply miles per day by number of days
5.5 x 1.75 = 9.625
answer: A. 9.625 miles
Finding the area of a triangle is straightforward if you know the length of the base and the height of the triangle. But is it possible to find the area of a triangle if you know only the coordinates of its vertices? In this task, you’ll find out. Consider ΔABC, whose vertices are A(2, 1), B(3, 3), and C(1, 6); let line segment AC represent the base of the triangle.
Part A
Find the equation of the line passing through B and perpendicular to AC .
Answer:
[tex]y : \frac{1}{5} x + \frac{12}{5}[/tex]
Step-by-step explanation:
the slope of the line AC :
[tex]\frac{6-1}{1-2} = \frac{5}{-1} =-5[/tex]
Let y : mx + p be the equation of the line D passing through B and perpendicular to AC.
Where m is the slope and p is the y value of the y intercept point.
The line D is perpendicular to AC means the product of their slopes is −1
Therefore
(−5) × m = −1
Then
[tex]m=\frac{-1}{-5} =\frac{1}{5}[/tex]
We obtain, the equation of D is :
[tex]y : \frac{1}{5} x + p[/tex]
At this point ,we still need the value of p to get the full equation of D.
B(3, 3)∈ D
[tex]3=\frac{1}{5} \left( 3\right) +p[/tex]
[tex]\Longleftrightarrow p=3-\frac{3}{5} =\frac{12}{5} =2.4[/tex]
thus , the equation of D is :
[tex]y : \frac{1}{5} x + \frac{12}{5}[/tex]
Yes it's possible through matrix
Let's find out the area formula for our vertices
That's
[tex]\\ \rm\Rrightarrow \left|\begin{array}{ccc}\rm 2&\rm 1&\rm 1\\ \rm 3&\rm 3&\rm 1\\ \rm 1&\rm 6&\rm 1\end{array}\right|[/tex]
The determinant values modulus is the area
Slope of AC
m=6-1/1-2=-5Perpendicular lines have slopes negative reciprocal to each other
Slope of line B to AC =1/5So
Equation in point slope
y-3=1/5(x-3)y=1/5x-3/5+3y=1/5x+12/5Find the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem.
The measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.
What is a polygon?A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The sum of the interior angle of a polygon with 'n' number of sides is given by the formula,
The sum of the interior angle = (n-2)×180°
As it is known that a hexagon has 6 number of sides, therefore, the sum of the interior angles can be written as,
The sum of the interior angle of Hexagon = (6-2)×180° = 720°
Now, the measure of each interior angle = (720°/6) = 120°
Hence, the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.
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Frank bought a pair of gloves for $9.95 and a hat for $5.25. What is the best estimate of much he spent?
$15.00
$10.00
$5.00
$25.00
Answer:
$ 15.00
Step-by-step explanation:
9.95 is JUST about 10
5.25 is close to 5
10 + 5 = 15
Find the maximum accepted height for a basketball ring which must be positioned 3050 ± 6 mm above the floor.
__MM ??
Work Shown:
3050+6 = 3056
If you wanted the min height allowed, then you'd compute 3050-6
Note: 3050 mm = 10 feet approximately
Solve the system of equations.
3x +y = 3
x + y = 2
Answer:
x = 0.5
y = 1.5
Step-by-step explanation:
For futer reference, the easiest way to figure this out is by going to Desmos Graphing Calculator, entering both of the equations, and seing where the lines intersect. This helped me so much when I was learning this. Hope this helped!
Answer:
The solution of the system of equations is (x,y) = (1/2,3/2).
Step-by-step explanation:
work out value of a
Answer:
a=99
Step-by-step explanation:
First, let's subtract 136 from 180. We get 44, which means that the angle of the other side is 44 degrees.
180-136=44
Next, let's subtract 125 from 180. 180-125 = 55. This means the other angle next to 125 degrees is 55 degrees.
180-125=55
We know that the sum of a triangle's angles is = 180 degrees
We can find the last angle of the triangle by adding 44 & 55, and then subtracting that sum from 180 (the total sum).
44+55=99
180-99=81
For our last and final step, let's subtract 81 from 180 to find the angle NEXT to 81 (a).
180-81=99
a = 99 degrees
Hope this helped :) If you have any questions, don't be afraid to comment!
Answer:
The value of a is 99°check photo for detailed analysis
Six men take five days to complete a job. How long would
the same job take fifteen men?
Answer:
2 days
Step-by-step explanation:
Understanding :
Number of men is inversely proportional to the number of days taken to complete a job6 men take 5 days to complete 1Now the number of men is 15Solving :
Rate of change of men ∝ 1/Rate of change of days15/6 ∝ 1/(d/5)2.5 = 5/dd = 2 daysPLEASE HELP URGENT I will give brainiest
Answer: I’ll edit this when I get the photo.
Step-by-step explanation:
Solve for Unknown: x/10=43/46.
Do not put variable, only put the number value to the nearest whole number
Answer:
9
Step-by-step explanation:
x= 430/46
x=9.35 approximately 9( nearest whole number)
Start with 360. Increase by 15%.
Start with 480. Decrease by 10%.
Answer:
414432Step-by-step explanation:
Problem 1
Start with 360
⇒ 360
Increase by 15%
⇒ 360 (1 + 15%)
⇒ 360 (1 + 0.15)
⇒ 360 (1.15)
⇒ 414
Problem 2
Start with 480
⇒ 480
Decrease by 10%
⇒ 480 (1 - 10%)
⇒ 480 (1 - 0.1)
⇒ 480 (0.9)
⇒ 432
Please help I have been stuck on this for hours
Answer:
I have attached a screenshot below with the answers written down!
Step-by-step explanation:
[tex]5*3=15[/tex]
[tex]15*3=45[/tex]
Next
[tex]20*\frac{1}{2}=10[/tex]
[tex]10*\frac{1}{2}=5[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helps!
Have a great day!
:)
Kay cut a cheese stick into
sixths and ate a sixth. Jake
cut a cheese stick into thirds
and ate a third. Which child
ate less cheese?
Answer:
Jake
Step-by-step explanation:
Sum of integers from -10 to 50
Answer:
1220
Step-by-step explanation:
This can easily be done as follows,
Take the first term of the series, (a = -10)
Take the last term of the series, (l = 50)
The numbers of terms is n = 50+10+1 = 61
Now,
For sum,
S= n/2 (a+l) =60/2 (50+-10) = 61/2 (50-10) = 61/2*40 = 1220
can someone please help me with this math problem please please
Answer:
c
Step-by-step explanation:
Step 1
Solve 3x-y=-63x−y=−6 for yy.
y=6+3xy=6+3x
Step 2
Substitute 6+3x6+3x for yy in the second and third equation.
2\left(6+3x\right)-5z=-52(6+3x)−5z=−5 x-\left(6+3x\right)-2z=-4x−(6+3x)−2z=−4
Step 3
Solve these equations for xx and zz respectively.
x=-\frac{17}{6}+\frac{5}{6}zx=−
6
17
+
6
5
z z=-1-xz=−1−x
Step 4
Substitute -\frac{17}{6}+\frac{5}{6}z−
6
17
+
6
5
z for xx in the equation z=-1-xz=−1−x.
z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−
6
17
+
6
5
z)
Step 5
Solve z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−
6
17
+
6
5
z) for zz.
z=1z=1
Step 6
Substitute 11 for zz in the equation x=-\frac{17}{6}+\frac{5}{6}zx=−
6
17
+
6
5
z.
x=-\frac{17}{6}+\frac{5}{6}\times 1x=−
6
17
+
6
5
×1
Step 7
Calculate xx from x=-\frac{17}{6}+\frac{5}{6}\times 1x=−
6
17
+
6
5
×1.
x=-2x=−2
Step 8
Substitute -2−2 for xx in the equation y=6+3xy=6+3x.
y=6+3\left(-2\right)y=6+3(−2)
Step 9
Calculate yy from y=6+3\left(-2\right)y=6+3(−2).
y=0y=0
Step 10
The system is now solved.
x=-2x=−2 y=0y=0 z=1z=1
Solution
x=-2x=−2
y=0y=0
z=1z=1
Diana has a tool box in the shape of a right rectangular prism. The volume of the tool box is 1.62 cubic feet. The height of the tool box is 0.75 feet, and the length is 1.8 feet. What is the width of Diana's tool box? Enter your answer as a decimal in the box. ft
Answer:
I think you just have to multiply 0.75 and 1.8 then divided with 1.62.
Step-by-step explanation:
0.75*1.8=a
1.62/a= answer?
Answer:
the answer in 1.2 i just took the unit test on K12
Which function is increasing on the interval ? (-∞,∞)
A. i(x)=x^2+8x+1
B. G(x)=-4(2^X)
C. F(x)=-3x+7
D. H(x)=2^x-1
Select all the correct answers.
If the measure of angle 0 is 2pi/3, which statements are true?
A. The measure of the reference angle is 60 degrees
B. Cos(0)= 3/2
C. The measure of the reference angle is 30 degrees.
D. Sin(0)= -1/2
E. Tan(0)= -3
F. The measure of the reference angle is 45 degrees.
The correct answers: tan 120= -√3.
The correct answer is (E)
What is an angle?Angles are the angles between bisecting lines or surfaces at or near their meeting point.
Given : [tex]\theta\\[/tex] = 2π/3
= 2*180/3= 120
So, First and the fourth statement is not correct.
and, cos 120= -1/2
sin 120= √3/2
So, B and D statement is also wrong
tan 120= -√3.
Hence, the only correct statement is tan 120= -√3.
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What is the common ratio of the sequence: 1000, 300, 90, 27, ...?
.A bicycle normally sells for $475. The bicycle was discounted 30% for a
sale. After the sale was over, the new price of the bicycle was 25%
higher than the sale price. What was the new price of the bicycle?
Answer:
415.63
Step-by-step explanation:
Multiply the price by the sales tax to find out how much money the sales tax will add.
Answer:
$415.63
Step-by-step explanation:
475
after 30%
475 times .30 = 142 5
475 - 142.5 = 332.5 <- sale price
332.5 times .25 = 83.125
332.5 + 83.125 = 415.625 <- new price
What is 48 times 22 1/2 times 32 equal to?
Translate the phrase into an algebraic expression the product of W and 9
An expression is defined as a set of numbers, variables, and mathematical operations. The algebraic expression that can represent the product of W and 9 is 9W.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The phrase "the product of W and 9" in the form of an algebraic expression can be written as,
Expression = 9 × W = 9W
Hence, the algebraic expression that can represent the product of W and 9 is 9W.
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.................................................
.
Answer:
MARK ME Brainliest PLEASEStep-by-step explanation:
What number line represents the solution to the inequality below
-6< -2x
Answer:
The answer is 3 or x<3.
the cost of 3 dolls if 2 such dolls cost rs.120 is ...... ans pls
Answer:
Rs. 180
Step-by-step explanation:
This is a proportion problem.
We are told that 2 dolls cost Rs. 120
Thus;
Cost of 1 doll = 120/2 = Rs. 60 per doll
Then;
Cost of 3 dolls = Rs. 60 * 3 = Rs. 180
Kate has $17. She wants to hire a bike for 5 hours. There are two companies.
The table shows the cost C, in $, of hiring the bike for n hours from each company.
Company A C = 2n + 6
Company B C = 3n + 3
Find the cost of hiring a bike from Company A and Company B.
Answer:
It's 8 yuan per hour in company A and 9 yuan per hour in company B
Find the theoretical probability of choosing perfect squares from the natural numbers from 2 to 100
inclusive.
25÷5=5 if five dot is throw in the air the probability of five seeing on the dot will be slim
Which of the following is not a real number?
A. √2
B. -2
C. √₁,
D. 0
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = -8 - 1/2x
Step-by-step explanation:
Jerry ran 4/3 of a mile in 4/18 of an hour. What was Jerry's rate of speed?
⚫️4 miles per hour
⚫️6 miles per hour
⚫️5_1/3 miles per hour
⚫️8/27 miles per hour
Answer:
B, 6 miles per hour
Step-by-step explanation:
1. 4/3 of a mile in 4/18 of an hour, rewrite as (4/3 / 4/18)
2. Dividing fractions is multiplying by the reciprocal, so (4/3 * 18/4)
3. (4/3 * 18/4 = 72/12)
4. 72/12 can be simplified to 6/1 or 6.
5. Answer is B, 6 miles per hour
In January Caleb could do 12 pushups. In May Caleb could do 15 pushups. By what percent did he increase the number of pushups he could do?
Answer:
by 3% percent
Step-by-step explanation:
i hope this helps ._.
So in January he could do 12 pushups..
4 months later, he could do 3 more..
A total of 15 in 4 months would make a 25% increase with 6.25% every month as 3 pushups represent 1/4 of the 12 he used to do