If RV = x+6, US = 5x-9, and RS = 11, find VT and ST
Answers
The values of VT and ST for the given rectangle are 13 and 23.56 respectively.
The given parameters:
RV = x + 6US = 5x - 9RS = 11The value of VT and ST is calculated as follows;
from the given diagram we can conclude the following;
2RV = RT = US
[tex]2(x + 6) = 5x - 9\\\\2x + 12 = 5x - 9\\\\12 + 9 = 5x - 2x\\\\21=3x\\\\x = 7[/tex]
RT = 2RV = 2VT = 2(7 + 6) = 26
VT = ¹/₂ x 26
VT = 13
The value of ST can be determined from Pythagoras theorem as follows;
[tex]ST = \sqrt{RT^2 - RS^2} \\\\ST = \sqrt{26^2 - 11^2} \\\\ST = 23.56[/tex]
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Related Questions
The two interior opposite angles of an exterior angle of a triangle are 60% and 80 Find the measure of the exterior angle please help me
Answers
Answer:
2. The two interior opposite angles of an exterior angle of a triangle are and . Find the measure of the exterior angle.
Step-by-step explanation:
please help me i’m so lost Determine the lengths of AB and AC in the right triangle. You may give your answers in radical
form.
Answers
Answer:
see explanation
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6}{AB}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
AB = 12
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2 AC = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
AC = 6[tex]\sqrt{3}[/tex]
help me solve this please
Answers
Answer:
[tex] \sqrt{8} [/tex]
Step-by-step explanation:
an
irrational number can only be written in the form with never ending,non-repeatinng digits after the decimal comma
Is the sequence {4, 7, 10, 13, 16, ...} a function? Explain.
a
Yes, because each input is a natural number with multiple output numbers in the sequence
b
Yes, because each input is a natural number with a single output number in the sequence
c
No, because there are no input values paired with a single output number in the sequence
d
No, because there are multiple input values paired with a single output number in the sequence
Answers
Step-by-step explanation:
tricky, as the sequence does not define the input values.
by we can assume that the corresponding input values are 1, 2, 3, 4, 5, ... as it is usual for a sequence.
in that sense, b is the correct answer.
The sequence is a function because each input is a natural number with a single output number in the sequence.
What is arithmetic progression?The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.
Given the sequence {4, 7, 10, 13, 16, ...},
Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next item in the sequence is obtained by multiplying the previous term by 3.
a₂ - a₁ = 7 - 4 = 3
a₃ - a₂ = 10 - 7 = 3
the difference in output is the same for all the numbers in sequence.
Hence the sequence is the function of the Arithmetic Sequence.
Learn more about arithmetic progression;
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A T-shirt company charges $4 per T-shirt, plus a
flat shipping fee of $5. Terry bought some
T-shirts. How can you write an algebraic
expression to represent the total cost of Terry's
order including shipping?
Plz help plz
Answers
Answer:
y = 4x + 5
Step-by-step explanation:
4 times the number of shirts, which is unknown, +$5 no matter how many.
Answer:
4x + 5
Step-by-step explanation:
Four multiplied by the number of shirts purchased (x) plus five dollars for shipping.
I hope this helps!!
How i can answer this question?
Answers
Answer:
A and D
Step-by-step explanation:
[tex]20 r + 60t = 20(r+3t) = 4\cdot 5(r +3t)=4(5r +15t)[/tex]
In a relation y = 2t + 1, what is the value of y if t = 7
Answers
Answer:
If t = 7, y = 16
Step-by-step explanation:
y = 2t + 1
y = 2(7) + 1
y = 14 + 1
y = 15
Robert and Tony love to read. Robert reads 30 pages the first day and 20 pages each day after that. Tony reads 40 pages the first day and 15 pages each day after that. Will the boys ever read the same amount of pages? If so, how many days will it take them to read the same number of pages? A. Yes. They will read the same amount of pages in 3 days. B. Yes. They will read the same amount of pages in 5 days. C. Yes. They will read the same amount of pages in 6 days. D. No. They will never read the same amount of pages.
Answers
Answer:
Yes they will read the same amount of pages in 3 days
Step-by-step explanation:
Because when you do the math they add up to the same amount of pages.
The correct statement is;
''Yes. They will read the same amount of pages in 2 days.''
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Robert reads 30 pages the first day and 20 pages each day after that.
And, Tony reads 40 pages the first day and 15 pages each day after that.
Now,
Let the number of days for same pages read = x
So, We can formulate;
For Robert;
Number of pages = 30 + 20x
For Tony;
Number of pages = 40 + 15x
For equal days, we get;
⇒ 30 + 20x = 40 + 15x
Solve for x as;
⇒ 20x - 15x = 40 - 30
⇒ 5x = 10
⇒ x = 2
Thus, The correct statement is;
''Yes. They will read the same amount of pages in 2 days.''
Learn more about the mathematical expression visit:
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What is an equation of the line that passes through the points (2, -1) and (3,-4)
Answers
Answer:
Step-by-step explanation:
Given:
x1 = 2
x2 = 3
y1 = -1
y2 = -4
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( -4 - -1 ) / ( 3 - 2 )
m = -3 / 1
m = -3
Then,
y - y1 = m ( x - x1 )
y - (-1) = -3 ( x - 2 )
y + 1 = -3x + 6
y = -3x + 6 - 1
y = -3x + 5
The perimeter of a rectangle is 80 feet.
Find the dimensions if the length is 5 feet longer than four times the width.
Then find the area of the rectangle.
Answers
Answer:
l=33 feet
w=7 feet
Area= 231 feet
Step-by-step explanation:
what is 17/5 - 16/5 as an improper fraction
Answers
Answer: 1/5 is a proper fraction, it can not be written as a mixed or improper fraction
Step-by-step explanation:
17/5 - 16/5
1/5
10 x + 2 y . Find P when: x = 3 and y = 6
help pleaseee
Answers
Answer:
42
Step-by-step explanation:
(10x3) + (2x6)
= 30 + 12
= 42
10x + 2 y = (10.3) +(2.6) = 30+12=42
Our answer is 42
PLS HELP ME I'M SO CONFUSED!!!!!!
Answers
Answer:
a = -3, b = 2.5, c = - 1/2Step-by-step explanation:
1)
[tex]3^a=1/27[/tex][tex]3^a=1/3^3[/tex][tex]3^a=3^{-3}[/tex][tex]a=-3[/tex]2)
[tex]3^b=9\sqrt{3}[/tex][tex]3^b=3^2*3^{1/2}[/tex][tex]3^b=3^{2+1/2}[/tex][tex]3^b=3^{2.5}[/tex][tex]b=2.5[/tex]3)
[tex]3^c=1/\sqrt{3}[/tex][tex]3^c=1/3^{1/2}[/tex][tex]3^c=3^{-1/2}[/tex][tex]c = - 1/2[/tex]i need help with this i dont know how to do it...
Answers
∠C & 40° are vertically opposite angles. Vertically opp. angles have equal measures. So,
[tex]\mathfrak{Angle \: of \: C = \boxed{40^{\circ}}}[/tex]
[tex]\mathbb{MIREU} [/tex]
Graph a line with a slope of -3/4 that contains the point (2,3).
Answers
Answer:
The graph will be on the bottom:
Step-by-step explanation:
First find the slope intercept form:
y=mx+b
m is slope
b is y-intercept
since we already have slope we can replace that with m
y=-3/4x+b
Now substitute x and y with 2 and 3
3=-3/4 (2)+b
3=-3/2+b
Add on both sides:
9/2=b
Thus the Slope-intercept form is
y=-3/4x+9/2
Hope this helps!
d= sqrt ( 2 )^ 2 +( 12 )^ 2
Answers
Answer:
d = 146
Step-by-step explanation:
Answer:
d=146
Step-by-step explanation:
the sqrt of 2(2) is 4 which can be simplified to 2 and the 12 raised to the second power is 144 so 2+144 is 146
Sally wants to buy themselves a beautiful, scrumptious, delightful cake but they don't know how money works. If Sally has $50.00, and the cake is $54.99, how much more do they need? literally just made this question off the top of my mind xD
Answers
Answer:
$4.99
Step-by-step explanation:
$54.99-$50.00=$4.99
Answer:
Step-by-step explanation:
cake: $54.99
sally money: $50.00
54.99-50= $4.99 lol
7363626x726=???? Helpppppp
Answers
Answer:
The answer is 5345992476
Step-by-step explanation:
Factor the polynomial expression 8x^3+1
Answers
[tex] {8x}^{3} + 1 \\ = {(2x)}^{3} + {(1)}^{3} \\ = (2x + 1)( {(2x)}^{2} - 2x \times 1 + {(1)}^{2}) \\ = (2x + 1)( {4x}^{2} - 2x + 1)[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Identify the solution set of the inequality, using the given replacement set.
x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}
{–10, –4.3, –4}
1.{–10, –4.3, –4}
2.{–4, –3.9, 2}
3.{–10, –4.3}
4.{–3.9, 2}
Answers
Step-by-step explanation:
es el número 4[-3.9,2] esta es la respuesta
What is the solution to the following system 3x+3y+6z=9
Answers
Answer:
x=1 y=1 z=1
Step-by-step explanation:
3+3+3=9
and
3x+3y+3z=9
Rachael is placing a protective cover on a glass case. The case is a cube, and the perimeter of one cube face is 56 inches.
How many square inches of the protective covering does she need for the case?
Answers
Answer:
336
Step-by-step explanation:
We know that a cube has 6 faces which means we can use this equation:
56 x 6 = 336
336 square inches is the answer.
Perimeter=56in
Side=56)4=14inSo area of one side=
(side)^2=(14)^2=196in^2Cube has 6sides
So total protection:-
6(196)1176in^2Latasha $289 last week.she earned $213.73 this week how much more did latasha earn last week than this week
Answers
Answer:
75.27
Step-by-step explanation:
Subtract this week from last week
289-213.73
75.27
Joan is thinking of a number. She adds 5 and multiplies it by 4. She then subtracts n of her original number and divides by 20. She wants the answer to always be 1. What is the value of n?
Answers
Answer:
5
Step-by-step explanation:
(4n+5)-n/20=1 cross multiply:(4n+5)-n=204n+5=20+n4n-n=20-53n=15Divide both sides by coefficient of nn=5The recipe for Nestle Tollhouse Chocolate Chip Cookies calls for 2
2
cups of chocolate chips to make 5
5
dozen cookies. If you want to bake 9
9
dozen cookies, how many cups of chocolate do you need?
Answers
Answer:
6 cups of chocolate chips
Step-by-step explanation:
2:5 5+4=9 so add 4 to each side of the ratio
6:4
Giải phương trình: 2x + x + 12 =0
Answers
Answer:
x = - 4
Step-by-step explanation:
Or 3x +12=0
If a letter of the alphabet is chosen at random, what is the probability that it will be a vowel? (Y is not a vowel.) a. 1/2 b. 3/13 c. 1/5 d. 5/26 Please select the best answer from the choices provided A B C D
Answers
Answer: I believe D.
Find the value 3x-7 if 4x+12=24
Answers
I'm pretty sure that's what you meant
Nathan works the same number of hours each day, 5 days each week. He earns $12 per hour. Last week he earned $420. How many hours did he work each day?
Answers
Answer:
He worked 7 hours each day, last week
Step-by-step explanation:
-$420 earned last week
-He worked for 5 days (420 / 5)
-He earns $12 per hour
- How many hours he worked is unknown (x)
Equation
12x = 420/5
12x = 84
x = 7
David makes a pizza with 8 slices of equal size . He covers 5 of the 8 slices with pepperoni. What percentage of the pizza is covered with pepperoni
Answers
Answer:
5/8 * 100 = 62.5 %