Answers
Answer:
Step-by-step explanation:
This is a right triangle because angle V is 90. Draw out a right triangle and put V at the 90 degree angle. It doesn't matter where you put U or T; you get the same cos value for T regardless of how you place your other 2 angles. The things you need to know are that UT is the hypotenuse of the triangle, side VU is across from angle T, and side TV is across from angle U.
The cos ratio is side adjacent to the reference angle over the hypotenuse.
Our reference angle is T, so we are looking for the side next to T that is NOT the hypotenuse. This side measures 33; the hypotenuse measures 65, so the tangent ratio of T is
[tex]tanT=\frac{33}{65}[/tex]
Related Questions
HELP ASAP PLEASE NOWWWW!!!!!!!!!!!!!!!
Answers
(x - [3])² + (y- [2])² = 16
Weiling took part in a Mathematics quiz which consist of 60 questions. For every correct answer, 3 marks would be awarded. For every wrong answer, 2 marks would be deducted. Weiling answered all the questions and scored a totał of 140 marks for the quiz. How many questions did she answer correctiy?
Answers
Answer:
Right answer = 52
Wrong answers = 8
Step-by-step explanation:
Every correct answer = + 3
Every wrong answer = - 2
Number of correct answers = x
Number of wrong answers = y
x + y = 60 - - - (1)
3x - 2y = 140 - - - (2)
From (1) :
x = 60 - y
Put x = 60 - y into (2)
3(60 - y) - 2y = 140
180 - 3y - 2y = 140
180 - 5y = 140
-5y = 140 - 180
-5y = - 40
y = 8
x = 60 - y
x = 60 - 8
x = 52
Right answer = 52
Wrong answers = 8
What is the y-intercept of the line y = -3x + 7?
O A. -7
O B. 3
O C. 3
O D. 7
Answers
Answer:
Answer would be
D: 7
- During the summer, you work 5 hours a day as a lifeguard at a beach and
earn $8 each hour. Use properties of multiplication to find how much
money you earn during a 6-day work week.
Answers
Answer:
240 If its wrong pleas correct me
Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound
Answers
what's the whole question??
72/8 divided by 8/7=
Answers
When you divide 72/8 by 8/7, it is the same thing as doing 72/8 x 7/8 since you are just required to flip the numerator and the denominator the other way round in the 2nd fraction.
Jac is reading this paragraph from The Code Book. Mathematicians have been studying factoring for centuries, and modern factoring techniques are not significantly better than ancient techniques. Indeed, it could be that the laws of mathematics forbid the existence of a significant shortcut for factoring. Which question will best help Jac apply the reading to his own life
Answers
Answer:
The answer is "What is important for me to understand?".
Step-by-step explanation:
It is because it is based also on the conclusion that the word in the text read the Jac can draw. Essentially, the particular excerpt read by Jac in his coding book explains that, whether old or new, all older techniques used in the past, compared with the new factorization methods, in truth all shortcuts in mathematics are not feasible and hence all steps have to occur. This implies Jac has to discover what really is important, what he must comprehend, and whether whatever tactics he is using are old and new. The same would be valid of life itself; irrespective of how he chooses to live his life, there are times where shortcuts cannot be used.
Which statement about a right triangle is true?
A: The length of each leg equals 1/2 of the hypotenuse.
B: The square of the hypotenuse is equal to the sum of the squares of the legs.
C: One leg is always longer than the hypotenuse.
D: A right triangle can have only one obtuse angle.
Answers
Answer:
the square of hypotenuse rs eqaul to the sum of the square of the legs
Drag numbers to the table so it shows a proportional relationship between x and y.
Answers
Answer:
7.5 30
45 180
Step-by-step explanation:
The given line has x = 1.25 and y = 5.
y/x = 5/1.25 = 4
x is multiplied by 4 to get y since 1.25 * 4 = 5.
That means the equation is
y = 4x
For a proportional function, every value of x must be multiplied by 4 to get y.
x = 7.5
y = 4x = 4(7.5) = 30
7.5 30
We need to find the values for the last line.
11 * 4 = 44
There is no 44
13.75 * 4 = 55
There is no 55.
17.5 * 4 = 70
There is no 70
30 * 4 = 120
There is no 120.
45 * 4 = 180
There is a 180.
45 180
Answer:
7.5 30
45 180
asap help answer ---------
Answers
Answer:
[tex]C(n)=30-20n[/tex]
Step-by-step explanation:
Arithmetic sequence given in the question is,
10, -10, -30, -50........
Explicit formula of an Arithmetic sequence is given by,
[tex]C(n)=C(1)+(n-1)d[/tex]
Here, [tex]C_1=[/tex] First term
[tex]n=[/tex] number of terms
[tex]d=[/tex] common difference
From the given sequence,
[tex]C(1)=10[/tex]
[tex]d=-10-10[/tex]
[tex]=-20[/tex]
Substitute the values in the formula,
[tex]C(n)=10+(n-1)(-20)[/tex]
[tex]C(n)=10-20n+20[/tex]
[tex]C(n)=30-20n[/tex]
Find (4/5+3/6-5/12) ÷ 2/3
Answers
Answer:
1/2 + 2/3 + 5/4 = 29/ 12 = 2 5/ 12 ≅ 2.4166667
Step-by-step explanation:
Add: 1/ 2 + 2/ 3 = 1 · 3/ 2 · 3 + 2 · 2/ 3 · 2 = 3/ 6 + 4/ 6 = 3 + 4/ 6 = 7/ 6
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - one half plus two thirds = seven sixths.
Add: the result of step No. 1 + 5/ 4 = 7/ 6 + 5/ 4 = 7 · 2/ 6 · 2 + 5 · 3/ 4 · 3 = 14/ 12 + 15/ 12 = 14 + 15/ 12 = 29/ 12
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 4 = 24. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven sixths plus five quarters = twenty-nine twelfths.
hope it helps...
correct me if I'm wrong...
Please help me with this problem
Answers
Answer:
2nd one, 3rd one and last one
a set of data contains four values. the mode is 5, the range is 3 and the median is 5. the smallest value in the data set is 4. write the numbers in the data set.
Answers
Answer:
4,5,5,7
Step-by-step explanation:
The answer is 4,5,5,7
.
Serenity has a points card for a movie theater.
She receives 80 rewards points just for signing up.
She earns 11.5 points for each visit to the movie theater.
She needs 195 points for a free movie ticket.
.
.
Write and solve an equation which can be used to determine v, the number of visits
Serenity must make to earn a free movie ticket.
Answers
11.5v - 80 = 195 - 80
11.5v = 115
divide each side by 11.5 and you should get v=10 (10 visits )
Which number line represents the solutions to -2x = -6?
Answers
Answer:
3
Step-by-step explanation:
-2x = -6
or, x = -6 / -2
or, x = 3
Se tienen tres tanques de la misma altura (5 metro) pero sus formas son diferentes. El primero es de base circular de 3 metros de radio, el segundo su base es elíptica y su eje mayor y menor mide 6 y 4 metros respectivamente. El último tanque es un cono invertido, con una base circular de 3 metros de radio. Si en todos se llena agua con un caudal de 1.5 litros por cada segundo, determine la razón de cambio de la altura respecto al tiempo.
Answers
Answer:
1.-dh/dt = 5.31*10⁻⁵ m/seg
2.-dh/dt = 1.99*10⁻⁵ m/seg
3.-dh/dt = 1.59*10⁻⁴ m/seg
Step-by-step explanation:PREGUNTA INCOMPLETA NO SE INDICAN LAS FORMAS DE LOS TANQUES.
Asumiremos que los tres tanques son:
el primero cilindro recto de Vc = π*r²*h ( r es radio de la base y h la altura)
el segundo asumiremos que es eliptico recto de Ve = π*a*b*h aqui a y b son los ejes de la elipse y h la altura
El tercero es un cono invertido Vco = 1/3 *π*r²*h ( r es el radio de la base.
1.-Caso del cilindro
Vc = π*r²*h
Derivando en ambos miembros de la expresión tenemos:
dV(c) / dt = π*r²*dh/dt
Sustituyendo
1.5 Lts/seg = 3.14 * (3)²*dh/dt
1.5/1000 m³/seg = 28.26 m² dh/dt
1.5/ 28260 m = dh/dt
Despejando dh/dt
dh/dt = 1.5 / 28260 = 5.31*10⁻⁵ m/seg
dh/dt = 5.31*10⁻⁵ m/seg
2.-La elipse
Ve = π*a*b*h
Aplicando el mismo procedimiento tenemos:
DVe/dt = 1.5 Lts/seg = π* 6*4* dh/dt
1.5 /1000 = 75.36 *dh/dt
dh/dt = 1.5 / 75360 m/seg
dh/dt = 1.99*10⁻⁵ m/seg
3. El cono invertido
Vco = (1/3)*π*r²*h
DVco/dt = (1/3)*π*r²*dh/dt
1.5/1000 = 9.42 *dh/dt
dh/dt = 1.5/9420
dh/dt = 1.59*10⁻⁴ m/seg
Can someone help me with this math homework please!
Answers
Answer:
the correct options are 1, 2, 5, and 6th
1. and 2.
all functions have a dependant variable y and independent variable x, and the set of dependant variables is called its range whereas the set of independent variables is called its domain.
5. and 6.
In a horizontal line 1 input associates itself with exactly one ouput, even tho the output is constant (same) for all values of x, and that's the property of a function
Answer:
all functions have dependent variables
all functions have an independent variable
a horizontal line Is an example of a functional relationship
subject
Math, 25.02.2021 09:15 hajuyanadoy
Illustrate the following and determine the number of permutations. 1. Arranging 4 pots with different plants in a row
2. Forming a four-digit ATM pin.
3. Securing a motorcycle with a three-digit combination lock using the numbers 1, 2, 3 and 6
4. Displaying 3 identical small vases, 1 figurine, and a photo frame in a row
5. 3 girls sitting around a circular table
Answers
Answer:
1: 16
2: 4940
3: 24
4: 25
5: 9
Step-by-step explanation:
A permutation is a method of calculating the number of possible outcomes. It follows the following general formula;
[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]
There (n) is the number of objects, and (r) is the number of objects selected.
1. Arranging 4 pots with different plants in a row
In order to solve this, one needs two pieces of information, the number of objects, and the number of objects selected. One is given the number of objects; (4), but when the problem states "in a row" it never specifies how many plants are in a row. Thus, let one assume that a "row" can have an infinite amount of space, but in this case, only (4) space will be used. Therefore there are (4) objects with (4) objects selected. However, the drawback is that the combination formula doesn't work when the two parameters (n) and (r) are the same. Hence, to solve this special case, one simply multiplies the two numbers to get the answers:
[tex]n*r\\\\=4*4\\\\=16[/tex]
2. Forming a four-digit ATM pin
One is given that there are (4) digits in the ATM pin, this is the number of objects selected. One is also given that number of objects, there are (10) digits including (0). Set up the permutation and solve;
[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]
[tex]_1_0P_4=\frac{10!}{(10-4)!}\\\\=\frac{10!}{6!}\\\\=\frac{10*9*8*7*6*5*4*3*2*1}{6*5*4*3*2*1}\\\\=10*9*8*7\\\\=4940[/tex]
3. Securing a motorcycle with a three-digit combination lock using the numbers (1), (2), (3), and (6).
There are (4) digits to choose from on the lock. But there are (3) numbers that can be selected.
[tex]_4P_3=\frac{4!}{(4-3)!}\\\\=\frac{4!}{1!}\\\\=\frac{4*3*2*1}{1}\\\\=4*3*2*1\\\\=24[/tex]
4. Displaying 3 identical small vases, 1 figure, and a photo frame in a row.
There are (5) objects, and (5) spaces (read problem (1) for an explanation for the objects being put in a row). Thus, this is a special case; multiply the two numbers to get the result;
[tex]n*r\\=5*5\\=25[/tex]
5. 3 girls sitting around a circular table
There are (3) subjects, and (3) spaces in this problem. Apply the same logic applies to a row in this problem. Therefore, this is another special case; multiply the two numbers to get the result;
[tex]n*r\\=3*3\\=9[/tex]
Which of the following statements is true?
A) All squares are rectangles.
B) All parallelograms are rectangles.
C) All rhombuses are squares.
D) All rectangles are squares. (D is Not the answer)
Answers
all sides are equal, opposite sides are equal, opposite sides are parallel, angles are equal, opposite angles are equal, and the sum of two adjacent angles is 180 degrees
What is the domain of the ordered pairs shown in the graph?
{–2, –1, 0, 1}
{–2, –1, 0, 2}
{–1, 0, 1, 2}
{–2, 0, 2, 3}
Answers
Answer:
-2 0 2 3 this is the domain of the ordered pairs shown in the graph above
Situation:
Find the substance's half-life, in days.
• Round your answer to the nearest tenth.
A 25 gram sample of a substance that's
used for drug research has a k-value of
0.1229.
Enter the correct answer.
N = Noe
-kt
DONE
No = initial mass (at time t = 0)
?
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days
Answers
Answer:
5.6 days
Step-by-step explanation:
We are given;
Initial Mass; N_o = 25 g
Mass at time(t); N_t = 25/2 = 12.5 (I divide by 2 because we are dealing with half life)
k = 0.1229
Formula is given as;
N_t = N_o•e^(-kt)
Plugging in the relevant values;
12.5 = 25 × e^(-0.1229t)
e^(-0.1229t) = 12.5/25
e^(-0.1229t) = 0.5
(-0.1229t) = In 0.5
-0.1229t = -0.6931
t = -0.6931/-0.1229
t = 5.6 days
Write the ratio 5/36 as a fraction in simplest form.
Use the slash key (/) to indicate a fraction.
Answers
9514 1404 393
Answer:
5/36
Step-by-step explanation:
5 and 36 have no common factors, so the fraction 5/36 is already in simplest form.
Answer:
[tex] \frac{5}{36} [/tex]Step-by-step explanation:
#CARRYONLEARNINGWhat is the sum of the polynomials (-x^2 +9) + (-3x^2 - 11x + 4)
Answers
Answer:
4
−
4
+
8
2
+
8
Step-by-step explanation:
What is the equation of the line graphed below?
5
-5
5
(1, -3)
-5
O A. y = 3x
B. y=-3x
c. y=-5
D. y =
-X
Answers
Answer:
C: y=-3x
Step-by-step explanation:
Rise over run: in this case you go down so -3/1=-3
[tex]2 ^{2x + 1} - 9.2 ^{x} + 4 = 0[/tex]
pleas I need this answer. I want to submit it now.
Answers
[tex]\displaystyle\bf 2^{2x+1}-9\cdot 2^x+4=0 \quad ; \qquad \boxed{ 2^x=t \; ; \; 2^{2x}=t^2} \\\\2t^2-9t+4=0 \\\\D=81-32 =49 \\\\ t_1=\frac{9+7}{4} =4 \\\\ t_2=\frac{9-7}{4} =\frac{1}{2} \\\\1) \ 2^x=4 \Longrightarrow x_1=2 \qquad 2) \ 2^x=2^{-1}\Longrightarrow x_2=-1 \\\\Answer: \boxed{x_1=2 \quad ; \quad x_2=-1}[/tex]
what is the y-coordinate of the red point?
Answers
The y-coordinate of the red point is -3.
Using B.P.T., prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that your have proved it in class IX)
Answers
Answer:
See Explanation
Step-by-step explanation:
(For Diagram please find in attachment)
Given, Let Assume triangle ABC Where, DE is Parallel to BC & D is midpoint to AB . ∵ AD=DBTo Prove, E is the midpoint of AC.Proof, If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.Since DE∥BC
∴ By Basic Proportionality Theorem,
AD/DB = AE/EC
Since it is Given, AD=DB
∴ AE/EC =1
∴ AE=EC (Proved)
What is the following sum? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0StartRoot x^2y^3 EndRoot +2 StartRoot x^3y^4 EndRoot +xy StartRoot y EndRoot
Answers
Answer:
Assume x greater-than-or- equal-to 0 and y ... 0 StartRoot x squared y cubed EndRoot + 2 StartRoot x cubed y Superscript 4 Baseline EndRoot + x y StartRoot y EndRoot.
Step-by-step explanation:
Option (b) is correct.
The sum of given expression \sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}x2y3+2x3y4+xyy is 2xy\sqrt{y}+2xy^2\sqrt{x}2xyy+2xy2x
Step-by-step explanation:
Given:Expression \sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}x2y3+2x3y4+xyy
We have to find the sum of the given expression and choose the correct from the given options.
Consider the given expression \sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}x2y3+2x3y4+xyy .
\sqrt{x^2y^3}x2y3 can be written as \sqrt{x^2y^2y}=xy\sqrt{y}x2y2y=xyy
Also, 2\sqrt{x^3y^4}2x3y4 can be written as 2\sqrt{x^3y^4}=2\sqrt{x^2x(y^2)^2}=2xy^2\sqrt{x}2x3y4=2x2x(y2)2=2xy2x
Now, the given expression becomes,
x2y3+2x3y4+xyy
=xy\sqrt{y}+2xy^2\sqrt{x}+xy\sqrt{y}=xyy+2xy2x+xyy .
Now, adding like term, terms having same variable with same degree.
=2xy\sqrt{y}+2xy^2\sqrt{x}=2xyy+2xy2x .
Thus, The sum of given expression \sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}x2y3+2x3y4+xyy is 2xy\sqrt{y}+2xy^2\sqrt{x}2xyy+2xy2x
plz help ASAP with explanation
Answers
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
89 x , 16x , -30x please show your work .
Answers
Answer:
Step-by-step explanation:
89x = 89 * x
16x = 2 * 2 * 2 * 2 * x
-30x = -1 * 2 * 5 * 3 * x
x is the only factor that is common in all three.
GCF = x