Answer:
7. VS = 17
8. QR = 6
9. UT = 17
Step-by-step explanation:
You have trapezoid QRTU with midsegment VS parallel to bases QR and TU. Given dimensions for two of these parallel lines, you want the measure of the third.
Segment relationshipsThe markings on the parts of segments QU and RT indicate that points V and S are their midpoints, respectively. This makes segment VS a "midsegment", one that joins the midpoints of opposite sides. As such, its length is the average of the lengths of QR and TU:
VS = (QR +TU)/2
This is the relation that is used for problem 7.
For problems 8 and 9, this is rearranged to give the values of QR and UT:
QR = 2VS -UT
UT = 2VS -QR
7. VSFrom above, ...
VS = (QR +UT)/2 = (12 +22)/2
VS = 17
8. QRFrom above, ...
QR = 2VS -UT = 2(9) -12
QR = 6
9. UTFrom above, ...
UT = 2VS -QR = 2(11) -5
UT = 17
__
Additional comment
You will note that the line segments form an arithmetic sequence: the difference in length between adjacent segments is the same.
7: 12, 17, 22
8: 6, 9, 12
9: 5, 11, 17
Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, turns right and runs along Central Park West for about 0.28 miles. She then turns right again and runs along Broadway until she reaches her starting point. How long is her total run to the nearest hundredth of a mile?
A triangle is formed by Broadway, sixty-fifth street, and central park west. Broadway is the hypotenuse.
0.68 miles
0.81 miles
1.15 miles
1.44 miles
Answer:
b
Step-by-step explanation:
guys i really need help I'm so lost
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
2 raised to 4 =2×2×2×2 =16. ; 3 raised to 2 =3×3=9.
=16-9-2
=5
That's it , Very easy
C. How long is 10% of a 24-hour day?
Answer:
2.4 hours
Step-by-step explanation:
Answer:
10% OF a 24 hour day is 2.4 hours
Step-by-step explanation:
10x24/100= 2.4
Can someone please help me with the last three?? I don’t know what I keep doing wrong.
Answer:
1. 78.22%
2. 0.342%
3. 21.77%
Step-by-step explanation:
To find the percentage, you multiply the fraction of those tested positive/negative (based on the question) out of the total by 100%.
1. [tex]\frac{970}{1240}[/tex] × 100% = 78.22% (2 d.p.)
2. [tex]\frac{30}{8760}[/tex] × 100% = 0.342% (3 d.p.)
3. [tex]\frac{270}{1240}[/tex] × 100% = 21.77% (2 d.p.)
Which of the following sets does NOT represent a function.
O {(1,9), (-1,-9),(2,9), (-2, -9) }
O {(1,-9), (2,-5), (-1,9), (-2,5)}
O {(1,9) (-1,5), (2, -9), (-2,-5) }
O {(1,9), (1,-9), (2,5),(2,-5) }
Answer:
last one, the same X cant have more than one Y.
please help and good night
Answer:
(7) n = ⁴/₃
(8) x = -5
(9) d = ³/₂
(10) v = -20
Step-by-step explanation:
(7) [tex]n-\frac{8}{9} = \frac{4}{9}[/tex]
[tex]n-\frac{8}{9} = \frac{4}{9} \\\\Collect \ similar \ terms \ together\\\\n = \frac{4}{9} + \frac{8}{9} \\\\n = \frac{4+8}{9} \\\\n = \frac{12}{9} \\\\n = \frac{4}{3}[/tex]
(8)
[tex]\frac{3}{2} + \ x = -\frac{7}{2}\\\\collect \ similar \ terms \ together\\\\x = -\frac{7}{2} -\frac{3}{2} \\\\x = \frac{-7-3}{2} \\\\x = \frac{-10}{2} \\\\x = -5[/tex]
(9)
[tex]\frac{6}{5} = \frac{d}{(\frac{5}{4} )} \\\\cross \ and \ multiply\\\\5d = 6(\frac{5}{4} )\\\\5d = \frac{30}{4} \\\\d = \frac{30}{4\times 5} \\\\d = \frac{30}{20} \\\\d = \frac{3}{2} \\\\d = 1\frac{1}{2}[/tex]
(10)
[tex]-\frac{1}{8} v = \frac{5}{2} \\\\\frac{-v}{8} = \frac{5}{2} \\\\cross \ and \ multiply\\\\-2v = 40\\\\-v = \frac{40}{2} \\\\-v = 20\\\\v = -20[/tex]
Evaluate 2(s+t)³-6 when s =3 and t = 2?
Answer:
244
Step-by-step explanation:
We will see that the evaluated expression is equal to 244.
How to evaluate an expression?Evaluating an expression just means that we need to replace the variables by the wanted numbers.
Here we need to evaluate:
2(s+t)³-6
In t = 2 and s = 3, replacing these in the expression we get:
2(3+2)³- 6 = 2*(5)³ - 6 = 2*125 - 6 = 244
So the evaluated expression is equal to 244.
If you want to learn more about evaluating, you can read:
https://brainly.com/question/4344214
-3x + 7 = 1
what dose x represent
Answer:
the answer is x=3
Step-by-step explanation:
-3x=1-7
-3x=-6
-x=-6+3
-x=-3
x=3
Figure ABCD is a trapezoid. Find
the value of x.
B.
3x + 2
C
13
4x + 3
А"
D
X= [?]
Answer: 3
Step-by-step explanation:
write an expression that is equivalent to (x-5)²
Answer:
x²-10x+25
Step-by-step explanation:
expand the expression
(x-5)²
(x-5)(x-5) distribute
x²-5x-5x+25
combine like terms
x²-10x+25
if you get x^2-25 then you're only squaring the x and 5, you have to square the whole equation (x-5)(x-5) is doing (x-5)^2. for example, if you just had (5)^2 you would take the whole "equation" which is 5 and times that equation by itself.
Is there any potential areas of bias or error due to the wording of this question, "Did you continue to use
marijuana after you realized using it was causing you problems with family, friends, or people at work or school?"
Percent of Discount
Sale Price
$120
80%
Answer:
$96
Step-by-step explanation:
Answer:
The final price after deducting the percent of discount would be $24.
Leo has three pieces of ribbon. One piece is 4 yards long, another piece is 5 feet long, and the last piece is 10 inches long. How much ribbon does Leo have in all?
An online video streaming service offers two plans for unlimited streaming. Plan A has a one-time $25 membership fee and is $8 per month. Plan B has a $5 membership fee and is $12 per month.
Write a System of Equations that represents the 2 plans
For which months is Plan A the less expensive option? For which months is Plan B
the less expensive option?
Answer:
Plan A : f(x) = 25 + 8x
Plan B : f(x) = 5 + 12x
Plan A is better if used for more than 5 months (5 - ∞), plan B for 1 - 4 months
Step-by-step explanation:
x represents months
Plan A : f(x) = 25 + 8x
Plan B : f(x) = 5 + 12x
The equilibrium is when both of these functions have the same value
25 + 8x = 5 + 12x
4x = 20
x = 5
Now we compare these two plans before the 5 months,
e. g. when x = 2
The cost of plan A: 25 + 8x = 25 + 8 * 2 = 41$
The cost of plan B: 5 + 12x = 5 + 12 * 2 = 29$
Since 41$ > 29$, for 1-4 months plan B is a cheaper option, then after 5 months the costs of these two plans are equal and then plan A will be the cheaper aka less expensive option.
Make me the brainliest ;)
1) (1 - 4k) - (7k+5)=
How to simplify?
Answer:
Step-by-step explanation:
factorise completely 4ab+6ac-6bd-9cd
Answer:
(2b+3c) × (2a-3d)
Step-by-step explanation:
plz mark as brainliest
The factors of 4ab+6ac-6bd-9cd are (2a-3d) and (2b+3c).
What are factors?Factors are those numbers or expressions which when together be multiplied results the same numbers whose factors they are. It can be found for equations and expressions as well. It includes those number which divides the given number to get another factor value.
How to find factors?We have been given expression 4ab+6ac-6bd-9cd and we have to find the factors of the expression.
Factorization can be done as under:
Expression=4ab+6ac-6bd-9cd
=2a(2b+3c)-3d(2b+3c)
[we have to take common expression from two terms like we did above]
=(2a-3d)(2b+3c)
Hence the factors of expression 4ab+6ac-6bd-9cd are (2a-3d) and (2b+3c).
Learn more about factorization at https://brainly.com/question/25829061
#SPJ2
An insector found 24 defective cameras during an inspection. If this is 0.016% of the total numbers of cameras inspected. How many cameras were inspected?
Answer:
150,000.
Step-by-step explanation:
Given that an insector found 24 defective cameras during an inspection and this is 0.016% of the total numbers of cameras inspected, to determine how many cameras were inspected the following calculation must be performed:
0.016 = 24
100 = X
100 x 24 / 0.016 = X
2,400 / 0.016 = X
150,000 = X
Thus, the total number of cameras that were inspected is 150,000.
Help please? This is due in a few minutes.
Answer:
The mean is 33
Step-by-step explanation:
11 + 22 + 33 + 44 + 55 = 165.
165 / 5 = 33.
I need help please.
Answer:
Not a function.
Step-by-step explanation:
The vertical line test is when you run a line -vertical or AKA: up and down- through the path of a graph if the line runs through the path more than once, it has failed the vertical line test, and therefore is not a function. The graph in question fails this test, and cannot be a function.
The diagram shows a plastic solid made by joining a hemisphere to a cone. The radius of the hemisphere is 5cm and the height of the cone is 12cm.
i) Calculate the volume of the solid.
ii) Calculate the total surface area of the solid.
Answer:
575.8 cubic cm
Step-by-step explanation:
V(cone) = 1/3· π · r² · h
V = 1/3 · π · 25 · 12
V = 4(25)π or 100π = 314
V(half-sphere) = (4/3 · π r³)/2
V = (4/3π · 125) = 261.8
que pasa si un objeto imparable choca con uno inabobible
English Answer: No object can resist an irresistible force. No force can move an immovable object. So if an immovable object meets an irresistible force it will move and not move.English:
Spanish Answer: Ningún objeto puede resistir una fuerza irresistible. Ninguna fuerza puede mover un objeto inamovible. Entonces, si un objeto inamovible se encuentra con una fuerza irresistible, se moverá y no se moverá.
Step-by-step explanation:
¿Qué pasaría si una fuerza imparable chocara contra un objeto inamovible? Las respuestas comunes a esta paradoja recurren a la lógica y a la semántica.
Lógica: Si existe una cosa tal como una fuerza imparable, entonces no puede existir un objeto inamovible y viceversa. Es lógicamente imposible la existencia de los objetos (una fuerza imparable y un objeto inamovible) en un mismo universo al mismo tiempo.
Semántica: Si existe una cosa tal como una fuerza imparable, entonces hablar de un objeto inamovible no tendría sentido en ese contexto y viceversa, con lo cual el asunto vendría a ser algo así como preguntar, por ejemplo, por un triángulo de cuatro lados.
solve 3/5-(1/6+5/18)
Answer:
7/45
Step-by-step explanation:
IF U NEED THE STEPS LEMME KNOW
Use the net to find the approximate surface area of the cylinder to the nearest square meter.
Answer:
Step-by-step explanation:
radius r of cylinder = 7
circumference of cylinder = 2πr = 14π meters.
lateral area of cylinder = 14π×11 = 154π m². This is represented by the rectangle.
area of top = πr² = 49π m²
area of bottom = area of top = 49π m²
total surface area = lateral area + 2(top area) = 154π + 2×49π = 252π ≅ 792 m²
plis ayudaaaaaa que tenga explicación y respuesta pero ayuda plisssss
Answer:
x=30
Step-by-step explanation:
600/20=30
What is the surface area of a rectangular prism that has a length of 13 inches, a width of 7 inches and a height of 11 inches?
Answer:
91 porq se multiplica 32+544+ 3/6 + 2/6! It’s zearn!!
Answer:
=29/6
Step-by-step explanation:
4+3/6+2/6
=4+1/2+2/6
=9/2+2/6
=9/2+1/3
=29/6
Answer:
4 5/6 = 29/6 = 4.833333333
Step-by-step explanation:
4+3/6+2/6
Reduce the fraction 3/6 to lowest terms by extracting and canceling out 3.
4+1/2+2/6
Convert 4 to fraction 8/2
8/2+1/2+2/6
Since 8/2 and 1/2 have the same denominator, add them by adding their numerators.
8+1 / 2 + 2/6
Add 8 and 1 to get 9.
9/2 + 2/6
Reduce the fraction 2/6 to lowest terms by extracting and canceling out 2.
9/2 + 1/3
Least common multiple of 2 and 3 is 6. Convert 9/2 and 1/3 to fractions with denominator 6.
27/6 + 2/6
Since 27/6 and 2/6 have the same denominator, add them by adding their numerators.
27+2 / 6
Add 27 and 2 to get 29.
29/6
What is the fraction form of Sin 50° ÷ Sin 30°
Answer:
my insta is _luhbhabie_
Step-by-step explanation:
A box contains 20 red balls, 25 white balls, and 55 blue balls. Suppose that 10 balls are selected at random one at a time with replacement; that is, each selected ball is replaced in the box before the next selection is made. Determine the probability that at least one color will be missing from the 10 selected balls.
Answer:
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Determine the probability that at least one color will be missing from the 10 selected balls.
Red missing:
Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:
(0.8)^10 = 0.1074
White missing:
55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:
(0.75)^10 = 0.0563
Blue missing:
45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:
(0.45)^10 = 0.0003
Total:
0.1074 + 0.0563 + 0.0003 = 0.164
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.
The following problem describes procedures that are to be applied to numbers. Repeat the procedure for four numbers of your choice. Write a conjecture that relates the result of the process to the original number selected. Select a number. Multiply the number by 88. Add 88 to the product. Divide this sum by 44. Subtract 2 from the quotient.
Answer:
Conjecture: For every number x, the result of the is 2x
Step-by-step explanation:
First Number: 8
Multiply by 88: [tex]88 * 8 = 704[/tex]
Add 88: [tex]704 + 88 = 792[/tex]
Divide by 44: [tex]792/44 = 18[/tex]
Subtract 2: [tex]18 - 2 = 16[/tex]
Second: 10
Multiply by 88: [tex]88 * 10 = 880[/tex]
Add 88: [tex]880+88=968[/tex]
Divide by 44: [tex]968/44=22[/tex]
Subtract 2: [tex]22-2=20[/tex]
Third: 5
Multiply by 88: [tex]88*5 = 440[/tex]
Add 88: [tex]440+88=528[/tex]
Divide by 44: [tex]528/44=12[/tex]
Subtract 2: [tex]12-2=10[/tex]
Fourth: 2
Multiply by 88: [tex]88*2=176[/tex]
Add 88: [tex]176+88=264[/tex]
Divide by 44: [tex]264/44=6[/tex]
Subtract 2: [tex]6-2=4[/tex]
On a general terms:
Let the number be x.
Multiply by 88: [tex]88x[/tex]
Add 88: [tex]88x + 88[/tex]
Divide by 44: [tex]\frac{88x + 88}{44} = \frac{88x}{44} + \frac{88}{44} = 2x+2[/tex]
Subtract 2: [tex]2x + 2 - 2 = 2x[/tex]
Notice that for every input x, the result is 2x
This is hard please solve it for brainly.
Answer: C
Step-by-step explanation: you just multiple 40 by 4
Answer:
C) 160
Step-by-step explanation:
multiply each side by 40
the 40 from x/40 is eliminated and then you are left with x = 160