Answer:
C is approximately 10.3
Step-by-step explanation:
To get the length of c, we use the cosine rule
This is;
The square of the missing side is equal the sum of the squares of the other sides minus 2 multiplied by the product of the two other sides and the cos of the angle facing the missing side
We have this as;
c^2 = 7^2 + 9^2 - 2(7)(9) * Cos 79
c^2 = 49 + 81 - 126 cos 79
c^2 = 130 - 24.042
c^2 = 105.96
c = √105.96
c = 10.29 which is approximately 10.3
Find the coordinates of the orthocenter of a triangle with the vertices (5,3), (8,6), (0,14) at each set of points on a coordinate plane?
Answer:
coordinates of the orthocenter = (8, 6)
Step-by-step explanation:
I have drawn a diagram showing this triangle with the vertices. I have also drawn altitude from B perpendicular to AC at point E.
I have also drawn altitude from from A perpendicular to BC at point D.
Now, we will find the slope of AC from the line slope equation; (y - y1) = m(x - x1)
m = (y - y1)/(x - x1)
Our coordinates are; A(5,3), B(8,6), C(0,14)
Thus;
Slope of AC; m = (14 - 3)/(0 - 5)
m = -11/5
Since BE is perpendicular to AC, slope of BE = -1/slope of AC = -1/(-11/5) = 5/11
Thus, equation of BE is;
(y - 6) = (5/11)(x - 8)
Multiply through by 11 to get;
11y - 66 = 5x - 40
11y - 5x = 66 - 40
11y - 5x = 26
Slope of BC is; m = (14 - 6)/(0 - 8) = 8/-6 = -1
AD is perpendicular to BC, thus slope of AD = -1/-1 = 1
Equation of AD is;
(y - 3) = 1(x - 5)
y - 3 = x - 5
y = x - 5 + 3
y = x - 2
Putting x - 2 for y in equation of BE, we have;
11(x - 2) - 5x = 26
11x - 22 - 5x = 26
6x - 22 = 26
6x = 26 + 22
6x = 48
x = 48/6
x = 8
Put 8 for x in equation AD, then y = 8 - 2 = 6
coordinates of the orthocenter = (8, 6)
SAS, SSS, ASA, OR there is not enough information to determine congruence. please answer this asap !
Need a little help with this.
Answer:
a.) not like terms
b.) not like terms
c.) like terms ; 14 yards
Step-by-step explanation:
Will give brainliest
Answer:
I hope someone can help you :)
Step-by-step explanation:
BTW I can't see the image its white for me :( Sorry
3p(p+5 ??????????????????????????????????//
I don’t get this at all please help!!
Answer:
I can't this type of mathematics
Answer:
29) x = 12
30) x = 6
31) x = -4
32) x = 5
Not sure if the degree symbol is needed for the answer.
Step-by-step explanation:
Apply angle sum of triangles to all 4 questions.
29) (3x + 4) + 50 + 90 = 180 i.e. x = 12
30) (8x + 7) + 35 + 90 = 180 i.e. x = 6
31) 64 + 65 + (x + 55) = 180 i.e. x = -4
32) 70 + 35 + (14x + 5) = 180 i.e. x = 5
x + y > -3
how do I find the ordered pair and a solution to this inequality
Answer:
x>-3-y
Step-by-step explanation:
subtract y from both sides
collect like terms 12m2,- a m, -4m2
Answer:
Step-by-step explanation:
( 3m + 2) (4m-3)
What is the equation in slope-intercept form of the line that passes through the
point (2,-2) and is perpendicular to the line represented by y = x +2?
Answer:
[tex]y=-x[/tex]
Step-by-step explanation:
The slope-intercept form of a line can be written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope, [tex]b[/tex] is the y-intercept, and [tex](x,y)[/tex] are the coordinates of any point that this line passes through.
Perpendicular lines have negative-reciprocal slopes. Therefore a line perpendicular to [tex]y=x+2[/tex] will have a slope of [tex]-\frac{1}{1}=-1[/tex].
Now that we have a slope and coordinates of a point that the line passes through, we can solve for the y-intercept and the equation of the line:
[tex]-2=-1(2)+b, \\b=0[/tex]
Thus, the equation of this line is [tex]\fbox{$y=-x$}[/tex].
What is 36.6 – 24 x 2² ÷ 3
Answer:
36.6 - 24 × 4 ÷ 3 =
= 36.6 -96 ÷3 =
= 36.6 - 32 =
= 4.6
Identify the symmetry
What is the answer??
Answer:
Both 1 and 2!
Jose found 14 shells in the beach. He lost the same amount as he has left. Write the doubles addition fact Jose can use to find the number of shells Jose has left.
Answer:
7
Step-by-step explanation:
Number of shells found = 14
Number of shells lost equals number of shells left :
Let Number of shells lost = x
Using the relation:
Number of shells lost = Number of shells left
x =number of shells found - number of shells lost
x = 14 - x
x + x = 14
2x = 14
x = 14 / 2
x = 7
Number of shells left = 14 - x = 14 - 7 = 7
I need help asap pls
Answer:
[tex]\displaystyle 36° = m∠NQS[/tex]
Step-by-step explanation:
Apply the Midsegment Theorem:
[tex]\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°[/tex]
I am joyous to assist you at any time.
Jamie spent 1 ½ hours swimming in the pool on Monday. On Tuesday, she swam for 2 ¼ hours. How many hours did Jamie swim in all?
Answer:
3 3/4
Step-by-step explanation:
Please help with the right answer 40 points
Answer:
if i remember is B
Step-by-step explanation:
Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
140 miles on 6 gallons
a.23.3 mi/gal
c.0.042 mi/gal
b.840 mi/gal
d.13.6 mi/gal
Answer:
a
Step-by-step explanation:
because I heard that it was subject to the same time period in which the most popular ob on pov and i was in the empty classroom But I think I can dye my hair It is the most popular ob on pov and i was in the car atm but my phone said the time was the only one ☝
Jane babysits for $8 per hour. She earned $240 last week. This equation represents the number of hours, h, Jane babysat last week.
Answer: the equation would be 8h=240
h=30
Step-by-step explanation:
HELP WHAT EQUATION MATCHES THE GRAPH? PLEASE HELP ME
Step-by-step explanation:
I think no. c is correct
if it helps you then plzz mark me brainliest
the area of a 12-cm- wide rectangle is 180cm. what is its length?
Answer:
multiply the legth times width
Step-by-step explanation:
PLEASE HELP AND SHOW WORK
Answer:
14) x = 6 and y = 8
15) x = -1 and y = 1
16) x = 7 and y = 10
Step-by-step explanation:
14) From the given parallelogram, we can say that;
PT = TR and QT = QS due to the fact that the diagonals bisect each other into two equal parts.
Thus;
If PT = 2x, TR = y + 4, QT = x + 2, TS = y; then we have;
PT = TR
2x = y + 4
y = 2x - 4 - - - eq 1
Also;
QT = QS
x + 2 = y - - - eq 2
Put x + 2 for y in eq 1 to get:
x + 2 = 2x - 4
2x - x = 4 + 2
x = 6
Put 6 for x in eq 2 to get;
6 + 2 = y
y = 8
15) similarly from above;
x + 2 = y - - - eq 1
2x = y + 3
y = 2x + 3 - - - eq 2
Put 2x + 3 for y in eq 1;
x + 2 = 2x + 3
2x - x = 2 - 3
x = -1
Put -1 for x in eq 1 to gwt;
-1 + 2 = y
y = 1
16) similarly again;
y = x + 3 - - - (eq 1)
2y = 3x - 1 - - - (eq 2)
Put x + 3 for y in eq 2;
2(x + 3) = 3x - 1
2x + 6 = 3x - 1
3x - 2x = 6 + 1
x = 7
Put 7 for x in eq 1;
y = 7 + 3
y = 10
Thus, x = 7 and y = 10
4. A rectangle with area 1,600 m2 is 4 times as long as it is wide. What is the sum of the diagonals?
We need to write out algebraic equations to describe the information we have, then solve them using substitution.
We will define length as a and width as b.
we know that a x b = 1600 cm3 (area = length x width)
and a=4b
So, we can substitute the vaule 4b for a in the first equation:
4b x b = 1600
we can simplify to 4b2 = 1600
divide both sides by 4:
b2 = 400
take the square root of each side:
b = √400
b=20
So we know the width = 20
length = 4 x width = 80
can someone help me and tell me how I got it wrong?
Answer:
You put i at the end.
Step-by-step explanation:
The correct answer is u^5 remove the i.
a new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year what will the value of the car be, to the nearest cent, after 15 years?
Someone pls help me pls!!!
Answer:meh
I don’t know
Step-by-step explanation:
I don’t know SHANANSIZT SJEHSGSVSB
please answer this question i will give brainliest!
Answer:
b is the right answer bc all the others r wrong
Rick is planting a garden in the shape of a semi-circle. He wants to pour top soil over the garden. Approximately how many square feet does he need to cover in soil?
Answer:
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The formula for determining slope is expressed as
Slope, m = (y2 - y1)/(x2 - x1)
From the points given,
x1 = 0, y1 = 4
x2 = 2, y2 = 10
Slope, m = (10 - 4)/(2 - 0) = 6/2
Slope = 3
We would determine the y intercept, c by substituting m = 3, x = 0 and y = 4 into the slope intercept equation. It becomes
4 = 3 * 0 + c
c = 4
Thus, the equation of the line would be
y = 3x + 4
5. (0,0) and (-2,-8) Slope=_ Equation=_
PLEASE HELP END OF 1/4 TODAY!!!!!!!!!
The ratio of skiers to snowboarders is 5 to 2. If 210 skiers rode the chairlift in the last hour, how many snowboarders rode the chairlift during that same time?
[A] Write a proportion that is defined by this situation.
[B] Explain how the reciprocal property can be used to solve the problem.
[C] Answer the question.
Answer:
22
Step-by-step explanation:
Which decimal is less than 0.47?
0.5, 0.64, 0.38, 0.9
Answer:
0.38
Step-by-step explanation:
I hope this helps you with your test :)
Answer:
0.38
Step-by-step explanation:
.38 is before .47
Ariel invests $3,000 in an account that pays him 5% interest, compounded annually. How much money will Ariel have in the account after 3 years if no withdrawals or additional deposits are made?
Answer:
5,120
Step-by-step explanation:
After 3 years, Ariel will have $3,472.88 in the account if no withdrawals or additional deposits are made.
How to calculate compound interest?The formula for compound interest is given:
[tex]A = P(1 +\dfrac{ r}{n})^{(nt)}[/tex]
Where:
A = the final amount,
P = the principal amount,
r = the annual interest rate (as a decimal),
n = the number of times the interest is compounded per year,
t = the number of years,
In this case, we have:
P = $3,000
r = 0.05
n = 1 (compounded annually)
t = 3
Plugging in these values, we get:
[tex]A = $3,000(1 + \dfrac{0.05}{1})^{(1\times 3)[/tex]
A = $3,000(1.05)^3
A = $3,000(1.157625)
A = $3,472.88
Therefore, after 3 years, Ariel will have $3,472.88 in the account if no withdrawals or additional deposits are made.
To know more about compound interest follow
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