Answers
Answer:
[tex]ST=11.2\:\mathrm{m}[/tex]
Step-by-step explanation:
Since [tex]\angle T[/tex] corresponds with [tex]\angle Q[/tex], we need to find the measure of [tex]\angle Q[/tex] to set up a proportion.
In [tex]\triangle PQR[/tex], two sides and the angle between them are given, so we can use the Law of Cosines to find the third side.
The Law of Cosines is given as:
[tex]c^2=a^2+b^2-2ab\cos C[/tex]
Plugging in values, we get:
[tex]c^2=8^2+7^2-2\cdot8\cdot 7\cdot \cos 59^{\circ},\\c\approx 7.44[/tex].
Now we can use the Law of Sines to find [tex]m\angle Q[/tex]:
[tex]\frac{\sin59^{\circ}}{7.44}=\frac{\sin Q}{7},\\Q=\arcsin( \frac{7\cdot \sin 59^{\circ}}{7.44})\approx 53.75^{\circ}[/tex].
Using this, we can set up the following proportion to solve for [tex]ST[/tex]:
[tex]\frac{53.75}{75}=\frac{8}{ST},\\53.75\cdot ST=8\cdot 75,\\ST=\frac{8\cdot 75}{53.75}\approx \fbox{$11.2\:\mathrm{m}$}[/tex].
Related Questions
Urgent help need it plz help
Answers
Explanation:
Add the three angles up, and equal them to 180, as a triangle has 180*.
(13x + 2) + (3x - 4) + (5x - 7) = 180
Add together the like terms.
13x + 3x + 5x = 21x
2 + (-4) + (-7) = 9
21x + 9 = 180
21x = 189 (subtract 9 from both sides)
x = 9 (divide 21 from each side)
Reflection over the x axis ;vertical shift down 7 units
Answers
Let A be a 3 X 4 matrix. If
b = a1 + a2 + a3 + a4
then what can you conclude about the number of solutions of the linear system Ax=b?
Explain.
Answers
Answer:
Let A be a 3 X 4 matrix. If
b = a1 + a2 + a3 + a4
then what can you conclude about the number of solutions of the linear system Ax=b?
Explain.
The system has infinitely many solutions
Step-by-step explanation:
Since b= a1 + a2 + a3+ a4 if it follows that x= (1,1,1,1)^T is a solution to the equation Ax = b.
Since the matrix contains 3 rows there can be 3 nonzero rows and consequently
3 lead variables at most after we compute the row echelon form of the matrix
At least of the variables is free variables is free variable.
The system has infinitely many solutions
The inequality 3x+2>x+8 is equivalent to:
A. x>3
B. x 32
D. x<−32
Answers
Answer:
x>3
Step-by-step explanation:
3x+2>x+8
-2 -2
3x>x+6
-x -x
2x>6
/2 /2
x>3
The solution of the inequality 3x+2>x+8 will be x>3. The correct option is A.
What is inequality?
When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that inequality is 3x+2>x+8. The inequality will be solved as below,
3x+2>x+8
3x>x+6
2x>6
x>3
Hence, the solution is x>3.
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Someone pls help! X*2(4x+3^2%)/23/21^2
Answers
Answer:
x+2^23(45*21)
Step-by-step explanation:
What is the answer to 9 - x - 5x = -9
Answers
Answer:
x=3
Step-by-step explanation:
Answer:
so 9 - x - 5x = 9 because the 9 means x so its making the number negative. so - 9 and the 9 at the end = 9 don't worry about that bc you can subtract 5x
Step-by-step explanation: so what I'm saying is theirs many ways to solve that its just you don't know the level or something similar to that I'm only helping because I'm bored btw.
If A1
= 9 and An = An-1 + 4 then find the value of A5
BRAINLIEST TO ANYONE
Answers
Answer:
25
Step-by-step explanation:
a1 = 9
a2 = a1 + 4
a2 = 9 + 4
a2 = 13
a3 = a2 + 4
a3 = 13 + 4
a3 = 17
a4 = 21
a5 = 21 + 4
a5 = 25
This can more easily be done by using this formula
L = a1 + (n - 1) * d
a1 = 9
n = 5
d = 4
L = 9 + (5 -1)*4
L = 9 + 4*4
L = 9 + 16
L = 25
12 out of 15 randomly selected
students in a class said they would vote
for Kim for class president.
Which is most likely true about all 35
students in the class?
Answers
Answer:
28 students would vote for kim
Step-by-step explanation:
Well first you do 12/15 which would be 0.8
Now to find how many students in that class said they would vote for Kim for class president, we multiply 0.8 by 35 to get that 28 students said they would vote for kim
Angie has $1,900 in her savings account. If the bank pays 5% simple interest on savings, What is the total amount of money she will have in her account after 5 years?
Answers
Answer:
$19,000 after five years
Step-by-step explanation:
1900 * .5 = 3800 one year
5 * 3800 = 19,000
What are the truth values of Q v ~R?
Answers
Answer:
ttft
Step-by-step explanation:
Which table represents the statement "Di runs at a rate of 4 meters per second " ?
Answers
Answer:
d=4t
Step-by-step explanation:
Factor completely. 9 x 2 + 6 x + 1
Answers
Answer:24
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Answers
Answer:
What is the question????
The graphs of x=2(y-4) and x=5(y-4) are shown below.
How does the graph of x=2(y-4) compare with the graph of x=5(y-4)
A. The graph of x=2(y-4) crosses the y-axis lower than the graph of x=5(y-4)
B. The graph of x=2(y-4) has greater slope than the graph of x=5(y-4)
C. The graph of x=5(y-4) has greater slope than the graph of x=2(y-4)
D. The graph of x=2(y-4) crosses the y-axis higher than the graph of x=5(y-4)
Answers
Answer:
B is the correct answer
Step-by-step explanation:
because x=2y-8 is same as y=1/2 x+4 x=5y-20 is the same as y=1/5 x+4 slope of the first is 1/2 slope of the second is 1/5 so 1/2>1/5there y intercept are the same which is 4
The graph of x=2(y-4) has greater slope than the graph of x=5(y-4), the correct option is B.
What is the standard equation of a line?The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
The equation of the line is
x=2(y-4)
x=5(y-4)
y = (1/2)x +4
y = (1/5)x +4
The slope is (1/2) and (1/5),
(1/2) > (1/5)
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a contractor hired 150 men to pave a road in 30 days how many men would he hire to do the same work in 10 days
Answers
Answer:
750 men
Step-by-step explanation:
150 divided by 3 equals 5
5 times 150 equals 750
so it will take 70 men in 10 days
When x is a negative integer and y is a positive integer, the statement
below is always true. *
Answers
Find the slope of the line through each pair of point
11. (-4, -3) and (7, 1)
12. (-2, -1) and (8, -3)
Answers
Answer:
11) 4/11
12) -0.2
Step-by-step explanation:
m = − 6 ; n = 2 ; p = 4 − 3 m 2 + 4 n − p
Answers
Answer:
- 104
Step-by-step explanation:
Assuming the question is to evaluate the expression.
Given
- 3m² + 4n - p ← substitute given values for m, n and p
= - 3(- 6)² + 4(2) - 4
= - 3(36) + 8 - 4
= - 108 + 4
= - 104
6
x
−
5
y
=
14
Find
x
when
y
=
2
Answers
Answer:
4
Step-by-step explanation:
Find the interest rate for a $4600 deposit accumulating to $5994.78, compounded monthly for 4 years
Answers
A subway train arrives at the station every 9 minutes. You have a doctor’s appointment near the station,
so you take the subway and arrive at 10:06. You are finished with your appointment at 11:44.
When will the next subway train arrive at the station?
The next train will arrive at
Answers
Answer:
THE swords men and archer men will take over
Step-by-step explanation:
Brainly please help I been asking
Answers
Answer:
114
Step-by-step explanation:
break apart the shape into 2 smaller shapes and you'll get 15 and 4 for the 1st shape multiply them and you'll get 60. Then for the second shape you'll get 6 and 9 multiply them and you'll get 54. Last add them together and you get 114. (Sorry if I get it wrong)
The area of Neil's sqaure bedroom is 256 feet2. what is the length of any sidewall in his bedroom
Answers
Answer: 64 ft for each wall in his bedroom..
Step-by-step explanation: 256 divide 4 = 64.
1. What is the surface area of this rectangular prism? A. 16 square units B. 32 square units C. 48 square units D. 64 square units Place your answer in the hox
Answers
Answer:
64 square units
Step-by-step explanation:
8+8+8+8+16+16
HHHHHHEEEEEELLLLLPPPPPP!!!!!!!!!
Answers
Step-by-step explanation:
Area of Glass surface
= Area of Parallelogram - Area of Rectangle
= (20in * 16in) - (4in * 16in)
= 256in².
Hence it is 256 square inches.
P.S. Question photo got changed, ignore this.
Answer: The area of the figure is 32 square
plz mark brainly
What is the answer to this Question?
8 – 6 (x – 4) = 2x – 2 (4x – 5) + 22
Answers
Answer:
Here
Step-by-step explanation:
Let's solve your equation step-by-step.
8−6(x−4)=2x−2(4x−5)+22
Step 1: Simplify both sides of the equation.
8−6(x−4)=2x−2(4x−5)+22
8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)
8+−6x+24=2x+−8x+10+22
(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)
−6x+32=−6x+32
−6x+32=−6x+32
Step 2: Add 6x to both sides.
−6x+32+6x=−6x+32+6x
32=32
Step 3: Subtract 32 from both sides.
32−32=32−32
0=0
50 POINTS PLEASE HELP!!!.
Answers
Answer:
Use y=mx+b
Step-by-step explanation:
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
To solve the problem, you use the equation y=mx+b
Answer:
[tex]f(x) = - \frac{5}{2} x + 4[/tex]
Find the value of each variable. I’ll mark you as a brainliest
Answers
Answer:
See below
Step-by-step explanation:
Q11
Triangle is 45° and therefore isosceles
x = 10y = 10√2Q12
y = 2*7 = 14 as the side opposite to 30° angle is half of the hypotenusex = √14²-7² = 7√3Q13
x = 32/2 = 16, same reason as abovey = 16√3Q14
x = y = 6/√2 = 6√2/2 = 3√2Q15
x = 11√3/√3 = 11y = 2x = 2*11 = 22Q16
z = 24√2/√2 = 24x = 24√3y = x/2 = 24√3/2 = 12√3I need help with this shi
Answers
What is half of 9 minutes and 28 seconds
Answers
One minute contains 60 seconds. The half of 9 minutes and 28 seconds in time is 4 minutes and 44 seconds.
How are minutes and seconds related?A minute can be expressed in terms of seconds by the relation:
[tex]1 \: \rm min. = 60 \: \rm sec.[/tex]
9 minutes = [tex]9 \times 60 = 540 \: \rm sec.[/tex]
Thus, 9 mintues and 28 seconds = 540 + 28 = 568 seconds.
Its half would be:
[tex]\dfrac{568}{2} = 284 \: \rm sec.[/tex]
Dividing it by 60 to convert it back to minute and second form, we get:
Quotient = 4, remainder = 44
The remainder is still not divided by 60, so its in minutes.
But the quotient is the divided part of 284 by 60, so its in minutes.
Thus, 284 seconds = 4 mintues + 44 seconds.
Thus, the half of 9 minutes and 28 seconds in time is 4 minutes and 44 seconds.
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