Answers
Answer:
94º
Step-by-step explanation:
<TRS = 1/2(arc UJ + arc TS)
<TRS = 1/2(65 + 123)
<TRS = 1/2(188)
<TRS = 94º
Related Questions
[tex]\frac{3}{2x}[/tex]-[tex]\frac{11}{5}[/tex]=[tex]\frac{7}{8}[/tex].[tex]\frac{64}{49}[/tex]
Answers
Answer:
x=35/78
Step-by-step explanation:
3/2x-11/5=(7/8)*(64/49)
3/2x-11/5=8/7
3/2x=8/7+11/5
3/2x=117/35
x=(35*3)/(2*117)
x=35/78
Which of the following expressions does not have a greatest common monomial factor?
Answers
Answer:
Step-by-step explanation:
17x²y+8y³-4x²
it has no greatest common monomial factor.
Answer:
17x²y+8y³-4x²
Step-by-step explanation:
cạnh huyền của một tam giác vuông lớn hơn một cạnh góc vuông là 1 cm và tổng của hai cạnh góc vuông lớn hơn cạnh huyền 4 cm hãy tính các cạnh của tam giác vuông này
Answers
Answer:
Cạnh huyền=13, cgv1=12, cgv2=5
Step-by-step explanation:
Tam giác ABC
Gọi a là cạnh huyền(đối diện điểm A)
b là cgv đối diện điểm B
c là cgv đối diện điểm C
Theo đề bài: a=b+1 hoặc a=c+1
TH1: a=b+1 ta có hệ pt:
a=b+1 (1)
b+c=a+4 (2)
[tex]b^{2} +c^{2} = a^{2}[/tex] (3)
Thế (1) vào (2) ta được: b+c=b+1+4 => c=5
Thế (1) và c=5 vào (3) ta được: [tex]b^{2} +5^{2} = (b+1)^{2}[/tex]
<=> [tex]b^{2} +25=b^{2} +2b+1[/tex]
<=> 2b=24 => b=12
=> a=b+1=12+1=13
TH2: a=c+1 ta có hpt
a=c+1 (4)
b+c=a+4 (5)
[tex]b^{2} +c^{2} = a^{2}[/tex] (6)
Tương tự tính được a=13,b=5,c=12
Vậy cạnh huyền=13, 1 cạnh góc vuông=5 và 1 cạnh góc vuông=12
[tex]\frac{1}{3-6y} + \frac{1}{y} = \frac{1}{6\\}[/tex]
Answers
Answer:
y = 11 + √ 73/ 4 , 11 − √ 73 /4
Step-by-step explanation:
A rectangle has a perimeter of 50m, the ratio between the two side is 32 . Caculator the area of that rectangle?
Answers
Answer:
Area of rectangle = 150 cm
Step-by-step explanation:
Given the following data;
Ratio = 3:2 Perimeter = 50mTo find the area of the rectangle;
First of all, we would determine the dimensions (length and width) of the rectangle;
For length;
Length, L = 2x
For width;
Width, W = 3x
Mathematically, the perimeter of a rectangle is given by the formula;
P = 2(L + W)
50 = 2(2x + 3x)
50 = 2(5x)
50 = 10x
x = 50/10
x = 5
Length, L = 2x = 2 * 5 = 10 cm
Width, W = 3x = 3 * 5 = 15 cm
Now, we would find the area of the rectangle;
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = length * width
Area of rectangle = 10 * 15
Area of rectangle = 150 cm
A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.
Answers
Answer:
the number A(t) of grams of salt in the tank at a time is A(t)=150-110e-t/50
Explain why cos(-3π/4)=cos(5π/4).
Answers
Answer:
Step-by-step explanation:
Because the cosine is a positive function from which we can deduce [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \Large \boldsymbol{Rule : cos(-\alpha)=cos\alpha } \\\\\\ \cos\bigg(\frac{-3\pi }{4} \bigg)=cos135=-sin45=-\frac{\sqrt{2} }{2} \\\\\\cos\bigg(\frac{5\pi }{4} \bigg)=cos225=-sin45=-\frac{\sqrt{2} }{2}[/tex] Therefore, they are equal
SEE QUESTION IN IMAGE
Answers
Answer:
23Data is:
5, 6, 7Mean:
(5 + 6 + 7)/3 = 6Standard deviation:
σ = [tex]\sqrt{((5 - 6)^2+(6-6)^2+(7-6)^2)/3} = \sqrt{2/3}[/tex]Correct choice is d
24Data is:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5Mean:
(-5 -4 - 3 - 2 - 1 + 0 + 1 + 2 + 3 + 4 + 5)/11 = 0Standard deviation:
σ = [tex]\sqrt{((-5)^2+(-4)^2+(-3)^2+(-2)^2+(-1)^2+0^2+1^2+2^2+3^2+4^2+5^2)/11} = \sqrt{10}[/tex]Correct choice is d
25Data is:
3, 4, 5, 6, 7Mean is:
5Standard deviation:
σ = [tex]\sqrt{((3-5)^2+(4-5)^2+(5-5)^2+(6-5)^2+(7-5)^2)/5} = \sqrt{2}[/tex] ≈ 1.4Correct choice is d
What describes the correct way to convert minutes to an hour
Answers
Answer:
Yo mean correct way??
yo can divide minute by 60 to convert minute into hour
For example
To convert 10 minute into hour. then we should divide 10 by 60. 10/60
Answer:
In any conversion you have to establish ratios (or rates) for the different units being converted.
The process will be performed by a series of multiplications that will cancel out the "unwanted" units.
multiplication by one (1) does not change the value in an equation.
you have to multiply by a "series of ones" that take into account the units being converted..
for example
1 minute/60 seconds or 1 inch = 2.54 cm or 1 day = 24 hours
in your problem you have minutes... lets say you have 100 minutes
100 minutes * 1 hour minutes cancel and you have 100/60 = 1 [tex]\frac{2}{3}[/tex] hrs
60 minutes
Step-by-step explanation:
Add.
(3x2 – 2x) + (4x-3)
O A. 7x2- 5x
O B. 12x3 - 14x2 + 6x
O C. 3x2 - 6x + 3
O D. 3x2 + 2x-3
Answers
Answer:
O D. 3x2 + 2x-3
Answer:
A.7x2-5x questions 2of 20
What is the solution to the equation?
6-ste
e
3
2+52-9
2+53 +53-9-5
a-3
2:53 -9
a+54 +5 - 9+53
a-143
2+53 -9
e
Answers
Answer:
a = 3 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
a + 5 [tex]\frac{2}{3}[/tex] = 9 ← change mixed number to improper fraction
a + [tex]\frac{17}{3}[/tex] = 9 ( multiply through by 3 to clear the fraction )
3a + 17 = 27 ( subtract 17 from both sides )
3a = 10 ( divide both sides by 3 )
a = [tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]
Simplify 6 - (-2) - 3(-5).
-11
-7
19
23
Answers
Answer:
23
Step-by-step explanation:
6-(-2)-3(-5)
you first have to multiply the signs
a negative×a negative is a positive.positive times negative is negative, positive times positive is positive.
so for this question
6+2+15
23
I hope this helps
Explanation:
6-(-2)= 8 because negative and negative becomes positive so we add them.
-3(-5) = 15 because we have to multiply -3 by -5 which is 15 because when we multiply 2 negative numbers we get a positive
Now:
15 + 8 = 23
Which graph represents the step function f(x)=⌊x+2⌋?
Answers
Answer:
biyotiptol graph by using pen
Ten people are sitting in a row, and each is thinking of a negative integer no smaller than $-15$. Each person subtracts, from his own number, the number of the person sitting to his right (the rightmost person does nothing). Because he has nothing else to do, the rightmost person observes that all the differences were positive. Let $x$ be the greatest integer owned by one of the 10 people at the beginning. What is the minimum possible value of $x$
Answers
Correct question is;
Ten people are sitting in a row, and each is thinking of a negative integer no smaller than −15. Each person subtracts, from his own number, the number of the person sitting to his right (the rightmost person does nothing). Because he has nothing else to do, the rightmost person observes that all the differences were positive. Let x be the greatest integer owned by one of the 10 people at the beginning. What is the minimum possible value of x?
Answer:
Minimum possible value of x = -6
Step-by-step explanation:
Since there are 10 people and the rightmost person observes that all the differences from the subtraction or positive.
What this implies is that the person on the far left side of the row will have the largest number which from the quewis denoted as x.
Thus, we can say that the person sitting to the far right end on the row will have the smallest integer.
Since we want to minimize x, and for the fact that we are told that each is thinking of a negative integer no smaller than −15, then we will have to make the rightmost person have an integer of -15.
Since there are 9 people remaining on the row, thus, we add 9 to -15 to get the integer of the person for the leftmost person which will be the minimum he will have.
Thus;
-15 + 9 = -6
Where is the blue dot on the number line ?
Answers
Answer:
-1.13
Step-by-step explanation:
the gape between two points is 0.01 so the required answer is -1.13
Question 3
Suppose that we have a 3 ft x 3 ft piece of paper, and we cut out a square piece so that the area of the remaining piece is 5 feet. What is the length of a side of the square?
Answers
Answer:
2ft
Step-by-step explanation:
If you have a 3x3 you have a 9ft Sq paper. To have five feet left the removed square must be 4 square feet. 2x2 = 4 therefore 2ft per side
wo large tanks A and B are each partially filled with 100 gallons of salt water. Initially,80 pounds of salt is dissolved in the solution in tank A, and 30pounds of salt is dissolvedin the solution in tank B. The system is closed so that the wellstirred saline solution ispumped only between tanks A and B. The saline solution in tankA travels to tank Balong a pipe at the rate of 3 gallons per minute, and the salinesolution in B travels totank A at the rate of 2 gallons per minute. Write a system of IVPs that will describe theamount of salt,x1, in tank A at timetand the amount of salt,x2in tank B at timet.
Answers
At the start, it's given that x₁ (0) = 80 lb and x₂ (0) = 30 lb.
The amounts of salt in either tank change according to
dx₁/dt = (2 gal/min) (x₂/(100 - t ) lb/gal) - (3 gal/min) (x₁/(100 + t ) lb/gal)
dx₂/dt = (3 gal/min) (x₁/(100 + t ) lb/gal) - (2 gal/min) (x₂/(100 - t ) lb/gal)
To break this down a bit, consider tank A, for instance:
• solution flows in from B at a rate of 2 gal/min
• the volume of liquid in tank B after t minutes is
100 gal + (2 gal/min - 3 gal/min) (t min) = (100 - t ) gal
because the tank starts with 100 gallons of liquid, and 2 gallons are pumped in while 3 gal are pumped out each minute
• at any time t, the solution in B contains x₂ pounds of salt
• the concentration of the solution in A is then x₂/(100 - t ) lb/gal
• multiplying this by the inflow rate tells you how much salt is moving around each minute
Rewrite the radical expression as an expression with rational exponents.
cube root of x to the power of 8
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt[3]{x^8}=x^{\frac{8}{3}[/tex] The little number outside is called the index and that always serves as the denominator in the rational exponent. The power on the radicand (the radicand is whatever is inside the radical) serves as the numerator.
what is the solution to the equation below? sqrt x-7 = 5
A. 144
B. 12
C. 2
D. 4
Answers
Answer:
I think the answer is B.12
If this not correct, Sorry.
5√27-2√48-5√3-√(3-2√3)2
Answers
Answer:
4√3
Step-by-step explanation:
5√27-2√48-5√3-(√3-2√3)2
= 5√(3x9)-2√(3x16)-5√3-2√3+4√3
= 5(3)√3-2(4)√3-5√3-2√3+4√3
= 15√3-8√3-5√3-2√3+4√3
= 4√3
If the bearing of Saaman from Ankaase is 171. What is the bearing of Ankaase from Saaman.
Answers
Step-by-step explanation:
A. Theta + 180 (when angle is less than 180)
Theta - 180(when angle is greater than 180)
Thus, 171 + 180 = 351°
B. I. Angle CBF + Angle BFG = 180 (Co interior angles)
CBF + 118 = 180
CBF + 118 –118 = 180 –118
CBF = 62°
Ii. 83 + X + CBF = 180 (Angles on a straight line)
83+X+62 =180
145+x=180
145–145+x=180–145
X = 35°
Write the ratio $150 : $450 : $750 in its simplest form.
Answers
Answer:
1 : 3 : 5
Step-by-step explanation:
Given
$150 : $450 : $750 ( divide each part of the ratio by $150 )
= 1 : 3 : 5
find the measure of the indicated angle to the nearest degree
Answers
[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{4}{16}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{4}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{sin30}{2}[/tex]
[tex]\\ \sf\longmapsto sin\theta=sin15[/tex]
[tex]\\ \sf\longmapsto \theta=15°[/tex]
how do I do this?? help please
Answers
Answer:
You need to use sohcahtoa
C.
cos(45)=x/[tex]8\sqrt{2}[/tex]
x=8
A.
x= 8 its an isosceles so c=a
B.
sin(30)=8/x
x= 16
D.
cos(30)=x/16
x=8[tex]\sqrt{3}[/tex]
what is the answer?
Answers
Answer:
3,6
Step-by-step explanation:
PLEASE HELP ME ASAP!!!! i dont understand
Answers
Answer:
i think it is d
Step-by-step explanation:
because 0^2 is 0 and -8^2is64
then,64+0=64 so i think that is what they mean by that hope it helps
6 less than the product of 5 and a number
A. 5-6n
B. 6+5n
C. 5(n - 6)
D. 5n-6
Answers
Answer:
D.
Step-by-step explanation:
5 times a number is 5n. We need to subtract 6 from that, so we have 5n-6 for any value n.
Answer:
D. 5n - 6
Step-by-step explanation:
6 less means -6
The product of 5 and a number means 5 x n which is the same as 5n
And it wants us to subtract 6 from 5n
so we would write it as...
5n - 6
Name the property illustrated. 7 + 0 = 7
Answers
Answer:
I think it's the zero property
Step-by-step explanation:
8 . In which step does a mistake first occur?
(24+3 + 10)-14 + 2
Step 1: (8 + 10) -14 + 2
Step 2: 18 -14+2
Step 3: 4 +2
Step 4: 2
Answers
Answer:
Step 1
Step-by-step explanation:
Concepts:
When solving any expression or equation, we must go through the order of operations. The order of operations is a set of rules that tell us which operation we must do first. The set of rules is often represented by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.Solving:
Let's go through the order of operations to solve the expression, so we can see the mistake in the steps.
(24 + 3 + 10) - 14 + 2
1. Add 24 and 3 together
(24 + 3 + 10) - 14 + 2(27 + 10) - 14 + 22. Add 27 and 10 together
(27 + 10) - 14 + 2(37) - 14 + 237 - 14 + 23. Subtract 14 from 37
37 - 14 + 223 + 24. Add 23 and 2 together
23 + 225Now, let's compare these steps to the ones given.
There's a mistake in Step 1 because 24 and 3 was divided instead of added; 24 + 3 = 27, not 8.
Which expression is equivalent to 1/4y−1/2?
( ignore the highlighted answer i don’t know if it’s right or not)
Answers
Answer:
1/4( y -2)
Step-by-step explanation:
1/4 y -1/2
Rewriting
1/4 * 1 y - 1/4*2
Factor out the 1/4
1/4( y -2)
