Answers
Answer:
48
Step-by-step explanation:
180 - 90 - 42 = x
x = 48
Answer:
A) 48°
Step-by-step explanation:
Sum of all angles of a triangle = 180
90 + 42 + x = 180
Add like terms
132 +x = 180
Subtract 132 form both sides
x = 180 -132
x = 48°
Related Questions
what is the value of largest integers x such that 112/2^x is an integer.
Answers
Answer:
x = 4
Step-by-step explanation:
16 × 7 = 112
2^4 = 16
so that is the answer
Identify the eccentricity of the conic section whose equation is given. r = 3/5 - 3cosθ
3/5
1
5/3
3
Answers
Answer:
3/5
Step-by-step explanation:
A conic section with a focus at the origin, a directrix of x = ±p where p is a positive real number and positive eccentricity (e) has a polar equation:
[tex]r=\frac{ep}{1 \pm e*cos(\theta)}[/tex]
Given the conic equation [tex]r=\frac{3}{5-3cos(\theta)}[/tex]
We have to make the conic equation to be in the form [tex]r=\frac{ep}{1 \pm e*cos(\theta)}[/tex].
[tex]r=\frac{3}{5-3cos(\theta)}\\\\Multiply\ the\ numerator\ and \ denominator\ by \ 1/5\\r=\frac{3*\frac{1}{5} }{(5-3cos(\theta))*\frac{1}{5}}\\\\r=\frac{3*\frac{1}{5} }{5*\frac{1}{5}-3cos(\theta)*\frac{1}{5}}\\\\r=\frac{\frac{3}{5} }{1-\frac{3}{5}cos(\theta)}[/tex]
Comparing with [tex]r=\frac{ep}{1 \pm e*cos(\theta)}[/tex]. gives:
e = 3/5, p = 1
The eccentricity is 3/5
Multiply the number by 4. Add 10 to the product. Divide this sum by 2. Subtract 5 from the quotient.
The first number is 1 and the result is 2
The second number is 5 and the result is 10
the third number is 9 and the result is 18
the fourth number is 10 and the result is 20
Write a conjecture that relates the result of the process to the original number selected. part a)
Represent the original number as n.
Answer is 2n
part b Represent the original number as n, and use deductive reasoning to prove the conjecture in part (a). Multiply the number by 4.
Help with part b please.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given the illustration in the question
Required:
Use deductive reasoning to prove (a)
From your question, you need only the (b) part and this is done as follows;
Step 1: Represent the number with: n
Step 2: Multiply n by 4: 4n
Step 3: Add 10 to (2) above: 4n + 10
Step 4: Divide (3) above by 2: (4n + 10)/2 = 4n/2 + 10/2 = 2n + 5
Step 5: Subtract 5 from (4): 2n + 5 - 5 = n
Hence, the end result is proved to be 2n
Test this with any of the given illustration in (a) part, your answer will always be 2n
h(x)=x•2+1 k(x)=x-2
(H+k)(2)
Answers
Is it a true or false? If yes, the answer is false
If u have to solve the answer will be hx=x.2+kx=x-hk2
Q1) If Q is directly proportional to P and Q = 28 when P = 4, (i) express Q in terms of P, (ii) find the value of Q when P = 5, (iii) calculate the value of P when Q = 42. Q2) If z is directly proportional to x and z = 12 when x = 3, find the value of x when z = 18. Q3) If B is directly proportional to A and B = 3 when A = 18, find the value of B when A = 24. I NEED THE ANSWERS QUICKLY!!!
Answers
Answer:
Q1)i) Q= 7p
ii) Q= 35
iii) P= 6
Q2)x= 3
Q3) B=4
Simplify the expression:
10x + -8x + -10x+ -10 + 8x + -6x
Answers
Quilt
Step-by-step explanation:
A horizontal line has points A, B, E, F. A line extends up and to the right from B to point C. A line extends horizontally from point C to point D. A line extends slightly to the left and down from point D to point E. Angle A B C is (3 x) degrees and angle D E F is (2 x) degrees. What is the measure of AngleCBE? 36° 72° 108° 144°
Answers
Answer:
The answer is 72 degrees
Step-by-step explanation:
I hope this helps, leave a heart and rating plz!!?:)
The correct option is 72°. The measure of angle CBE is 72° by using the data angle ABC is (3 x) degrees and angle DEF is (2 x) degrees.
To determine the measure of angle CBE, we need to analyze the given information. We are provided with the angles ABC and DEF, where angle ABC is represented by 3x degrees and angle DEF is represented by 2x degrees.
From the description, we can see that angle CBE is formed by the combination of angles ABC and DEF. The angle ABC is adjacent to angle CBE at point B, and the angle DEF is adjacent to angle CBE at point E.
To find the measure of angle CBE, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Since angle ABC and angle D E F are adjacent to angle CBE and form a straight line, they are supplementary angles. Therefore, the sum of angle ABC and angle DEF is 180 degrees.
We can set up the equation:
3x + 2x = 180°
Combining like terms, we get:
5x = 180°
To solve for x, we divide both sides of the equation by 5:
x = 36°
Now that we know the value of x, we can find the measure of angle CBE by substituting x into the expression for angle DEF:
2x = 2 * 36 = 72 degrees
Therefore, the measure of angle CBE is 72 degrees.
Learn more about angles here:
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can someone help with number 4? like how am i supposed to solve this lol what do i do bc i alr know
k = -3
Answers
Answer:
0
Step-by-step explanation:
The chart shows k(x) and the value of x.
So when x is -3, k(-3) is 0.
Answer:
the answer would be -6 because that is the output of k(-3)
Evaluate : 5-3(x-1) when x=7
Answers
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{ - 13}}}}[/tex]Step-by-step explanation:
Given , x = 7
let's find :
[tex] \sf{5 - 3(x - 1)}[/tex]
Plug the value of x
⇒[tex] \sf{5 - 3(7 - 1)}[/tex]
Subtract 1 from 7
⇒[tex] \sf{5 - 3 \times 6}[/tex]
Multiply the numbers
⇒[tex] \sf{5 - 18}[/tex]
Calculate
⇒[tex] \sf{ - 13}[/tex]
Hope I helped!
Best regards!!
The value of 5-3(x-1) when x=7 is -13.
What is Evaluate meaning?
Evaluation is nothing but to solve an algebraic expression means to find the value of an expression by replacing the value of the variable in it.
To evaluate the expression value, we simply substitute the variable from its given value and simplify the expression by using order of operations.
In our case, the given expression is:
5-3(x-1)
Substitute the given number i.e., 7 for the variable in the expression:
5-3(7-1)
Solve the bracket first:
5-3(6)
Now solve the multiplication part:
5 - 18
Finally Subtract 5 from -18, we get:
-13
Hence the final value of the expression is -13 at x=7.
To learn more about Evaluation, refer to the link:
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In her last four basketball games, Alexi has scored 12, 14, 26, and 40 points. If the pattern continues, how many points will Alexi score in her next game? 64 66 62 60
Answers
Answer:
66
Step-by-step explanation:
12+14=26
26+40=66
A = (b*h) / 2 or A = :½ b*h. or A = 0.5*b*h
Answers
Answer:
jklfhgugt
Step-by-step explanation:
Cuánto es 100 más que 25????????
Answers
Answer:
la respuesta es 25
Step-by-step explanation:
para calcular este tanto ciento, sugerimos usar esta formula:
%/100 = parte/total
realizando la multiplicatión en cruz:
25% x 100 = 100 x parte, o
2500 = 100 x parte
ahora es sólo dividir por 100 y obtener la respuesta:
parte = 2500/100 = 25
the product of the zeros of the quadratic polynomial 2x square _3x _5c is 1by2 which of the following is the value of c
Answers
Answer:
c = - [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The product of the zeros = [tex]\frac{c}{a}[/tex] = [tex]\frac{1}{2}[/tex]
Given
2x² - 3x - 5c
with a = 2 and c = - 5c , then
[tex]\frac{-5c}{2}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
- 10c = 2 ( divide both sides by - 10 )
c = [tex]\frac{2}{-10}[/tex] = - [tex]\frac{1}{5}[/tex]
A function is defined by f(x) = 5(2-x). What is f(-1)?
o 5
o 5
O 15
O 53
Answers
Answer:
the answer is 15
Step-by-step explanation:
f(x)=5(2-x)
f(-1)=5(2-(-1))
f(-1)=5(2+1)
f(-1)=5(3)
f(-1)=15
Zero pint eight x minus eight equals two x plus four
Answers
Please Help Guys! 1) Why is f(x)=(3x+13)2+89 not the vertex form of f(x)=9x2+2x+1? A.The expression has a constant outside of the squared term. B. The expression is not the product of two binomials. C. The variable x has a coefficient. D. Some of the terms are fractions instead of integers. 2) What is the vertex of the parabola with the equation y=(x−2)2+10? A. (−2, −10) B. (2, 10) C. (−2, 10) D. (2, −10) 3) For the given function, identify the x- and y-intercepts if any, the vertex, the axis of symmetry, and the maximum or minimum value. f(x)=−x2+25 A. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,−25). The vertex is (0,−25). The axis of symmetry is x=0. The minimum value of the function is −25. B. There are no x-intercepts. The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is y=0. The maximum value of the function is 25. C. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25. D. The x-intercepts are (−25,0) and (25,0). The y-intercept is (0,5). The vertex is (0,5). The axis of symmetry is x=0. The maximum value of the function is 5. 4) A student says that the function f(x)=−x2−9 has the x-intercepts (−3,0) and (3,0). Is the student correct? If not, explain why. A. The student is correct. B. The student is not correct. The equation f(x)=0 has one real solution, so the x-intercept is (9,0). C. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph has only one x-intercept, (0,0). D. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph does not have any x-intercepts.
Answers
Answer:
C. The variable x has a coefficient. B. (2, 10) C. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25. D. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph does not have any x-intercepts.Step-by-step explanation:
1) Why is f(x)=(3x+1/3)^2+8/9 not the vertex form of f(x)=9x^2+2x+1?
A.The expression has a constant outside of the squared term.
B. The expression is not the product of two binomials.
C. The variable x has a coefficient.
D. Some of the terms are fractions instead of integers.
Vertex form is a(x -h)^2 +k. The coefficient of x inside parentheses is 1. The given form is not vertex form because the leading coefficient has not been removed to outside parentheses.
__
2) What is the vertex of the parabola with the equation y=(x−2)^2+10?
A. (−2, −10)
B. (2, 10)
C. (−2, 10)
D. (2, −10)
Vertex form is a(x -h)^2 +k. Comparing to the given equation, we find the vertex (h, k) = (2, 10).
__
3) For the given function, identify the x- and y-intercepts if any, the vertex, the axis of symmetry, and the maximum or minimum value. f(x)=−x^2+25
A. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,−25). The vertex is (0,−25). The axis of symmetry is x=0. The minimum value of the function is −25.
B. There are no x-intercepts. The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is y=0. The maximum value of the function is 25.
C. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.
D. The x-intercepts are (−25,0) and (25,0). The y-intercept is (0,5). The vertex is (0,5). The axis of symmetry is x=0. The maximum value of the function is 5.
The x-intercepts are the values of x that make y=0. They are (±5, 0). The y-intercept is the value of y when x=0. It is (0, 25).
__
4) A student says that the function f(x)=−x^2−9 has the x-intercepts (−3,0) and (3,0). Is the student correct? If not, explain why.
A. The student is correct.
B. The student is not correct. The equation f(x)=0 has one real solution, so the x-intercept is (9,0).
C. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph has only one x-intercept, (0,0).
D. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph does not have any x-intercepts.
The parabola opens downward and has a maximum value of -9, so cannot cross the x-axis. There are no x-intercepts, hence no real solutions.
solve for the right triangle given only one side and angle
Answers
Answer:
CD = √11 and CE = √11
Step-by-step explanation:
We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.
Answer:
[tex]\huge \boxed{CD =\sqrt{11} } \\ \\ \huge \boxed{CE =\sqrt{11} }[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can apply trigonometric functions to solve for the missing sides.
sin θ = opp/hyp
sin 45 = CD /√22
Multiply both sides by √22.
√22 sin 45 = CD
√11 = CD
cos θ = adj/hyp
cos 45 = CE /√22
Multiply both sides by √22.
√22 cos 45 = CE
√11 = CE
Peter wants to buy a coat that costs $87 at full price.The coat is now on sale for 40% off
Part A: Explain how Peter can use the fact that 10% of $87 is $8.70 to find the amount he will save on the coat
Part B: Use the same method to find the amount Peter would save on a $64 coat that is on sale for 40% off
Answers
Step-by-step explanation:
Hello!
Part A
Peter can use the fact that 10% of 87 is 8.70 to find the amount he would save because 40% is just 4 times bigger than 10% so he can take 8.70 from to total of the coat 4 times to find out how much it cost.
Part B
Using the same method we know that 10% of 64 is 6.40 so we subtract that from the price of the coat 4 times to find out how much it cost
64 - 6.40 = 57.6
57.6 - 6.40 = 51.2
51.2 - 6.40 = 44.8
44.8 - 6.40 - 38.4
The price of the coat is $38.4
Hope this helps!
4/7a-2/3a pllllllllllllllllllllllllllllllllllls help
Answers
Answer:
[tex]-\frac{2}{21}[/tex]
Step-by-step explanation:
Step 1: Have a common denominator
[tex]\frac{12}{21}a -\frac{14}{21}a\\[/tex]
Step 2: Subtract to get answer
[tex]\frac{12}{21}a -\frac{14}{21}a = \frac{-2}{21}a[/tex]
Therefore the answer is [tex]\frac{-2}{21}a[/tex]
Answer:
-2/21a
Step-by-step explanation:
The common number for this two denominator, 7 and 3, is 21.
21/7=3, so you multiply 3 with the numerator 4. giving 12/21a.
You do the same you -2/3a, and you end up getting the equation of:
12/21a-14/21a=-2/21a.
Hope this helps, have a nice day!
2a-5b+2c-9 from 3a-4b-c+6
Please solve it thank you
Answers
Answer:
a +b -3c +15
Step-by-step explanation:
Write the subtraction you want to perform, use the distributive property, collect terms:
(3a-4b-c+6) -(2a-5b+2c-9)
= 3a -4b -c +6 -2a +5b -2c +9 . . . . . . distribute the minus sign
= a(3-2) +b(-4+5) +c(-1-2) +(6+9) . . . . find and group like terms
= a +b -3c +15
Answer:
a - b -3c + 15
Step-by-step explanation:
nine more than twice a number is less than negative fifteen. solve the inequality for the unknown number.
Answers
Answer: x<-12
Step-by-step explanation:
let x= the number
2x+9<-15
2x<-24
x<-12
Hope this helps!! :)
You may ask any further questions
(20pts) Please help! Sometimes, always, or never true. Prove why
Answers
Answer:
Step-by-step explanation:
[tex]LHS = \frac{1}{m^{2}}-\frac{1}{m^{2}+1}\\\\\\=\frac{1*(m^{2}+1)}{m^{2}*(m^{2}+1)}-\frac{1*m^{2}}{(m^{2}+1)*m^{2}}\\\\\\=\frac{m^{2}+1- m^{2}}{(m^{2}+1)*m^{2}}\\\\\\=\frac{1}{(m^{2}+1)m^{2}}=RHS[/tex]
i)
[tex]3 \sqrt{3} \times \sqrt{3} [/tex]
Answers
Answer:
9Step-by-step explanation:
[tex]3\sqrt{3}\times\sqrt{3}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a\\\\\sqrt{3}\sqrt{3}=3\\\\=3\times\:3\\\\=9[/tex]
Explanation:
3 sqrt(3) • sqrt(3)
= 3 sqrt(3 • 3)
= 3 sqrt(9)
= 3 sqrt(3^2)
= 3 x 3
= 9
the radius of the circular base of a cone is (3x-2)m. if its slant height is (9x^2 - 6x)m, express the cone’s surface area as factored polynomial in x.
NOTE: SA= πrs+πr^2
Answers
Answer:
SA= 289.56 m^2
Step-by-step explanation:
Find the distance between -0.5 and 1.5
Answers
Answer:
2.0
Step-by-step explanation:
Subtract the smaller number from the larger to find their difference:
1.5 -(-0.5) = 2.0
The distance between the given values is 2.0.
A gable roof (isosceles triangle-shaped) has a vertical height of 2.1 metres and the ceiling is 10.9 meters from one side to the other. Find the pitch (angle) of the roof.
Answers
Answer:
[tex]\bold{21.07^\circ}[/tex]
Step-by-step explanation:
The given values can be mapped to an isosceles [tex]\triangle ABC[/tex].
Side AB = AC
Vertical height, AD = 2.1 m
The distance between one side to the other side of ceiling = 10.9 m
To find:
Pitch (Angle of the roof ) = ?
i.e. [tex]\angle B[/tex] or [tex]\angle C[/tex] = ? (because it is isosceles triangle, so both will be equal)
Solution:
As [tex]\triangle ABC[/tex] is isosceles, so vertical height will divide the side BC in two equal parts
i.e. [tex]BD = DC = \frac{1}{2} BC[/tex]
[tex]\therefore BD = \frac{10.9}{2} = 5.45 m[/tex]
In [tex]\triangle ABD[/tex], let us use tangent trigonometric property.
[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]
[tex]tanB = \dfrac{AD}{BD}\\\Rightarrow tanB = \dfrac{2.1}{5.45}\\\Rightarrow tanB = 0.385\\\Rightarrow \angle B = tan^{-1}( 0.385)\\\Rightarrow \bold{\angle B = 21.07^\circ}[/tex]
7m + 3mn when m = 8 and n = 14
Answers
Answer:
392
Step-by-step explanation:
m = 8 and n = 14
Substituting the values of m and n in the question, we get :
7m + 3mn
=( 7 x 8) +(3 x 8 x 14)
= 56 + 336
= 392
Answer:
356
Step-by-step explanation:
7x8+56
3x8=24
24x14=336
Add everything up
How many solutions does the following equation have?
3(y+9)=12y+133(y+9)=12y+133, left parenthesis, y, plus, 9, right parenthesis, equals, 12, y, plus, 13
Choose 1 answer:
Choose 1 answer:
Answers
Answer:
One solution.
Step-by-step explanation:
Given that the equation is:
[tex]3(y+9)=12y+13[/tex]
To find:
The number of solutions of the given equation = ?
Solution:
First of all, let us learn a concept for number of solutions of a polynomial.
Number of solutions of a polynomial is equal to its degree.
Degree means the highest power of the variable.
Here, the variable is [tex]y[/tex] and it is observable that the highest power of
Therefore, only one solution will be there for the given equation.
Solving the equation:
[tex]3(y+9)=12y+13\\\Rightarrow 3y+27=12y+13\\\Rightarrow 12y-3y=27-13\\\Rightarrow 9y =14\\\Rightarrow \bold{y = \dfrac{14}{9}}[/tex]
The one solution is [tex]\bold{y=\frac{14}{9}}[/tex].
Hence, only one solution.
Hey There Answer One Solutions
Step-by-step explanation:
Quotient of 8 decreased by 2 times t and 3
Answers
Answer:
[tex] Quotient = \frac{8 - 2t}{3} [/tex]
Step-by-step explanation:
Quotient, in maths, is what you get when two number or expressions together. That is, dividend over the divisor.
Thus, from what we're given:
dividend is 8 decreased by 2 times t, which can be expressed as [tex] 8 - 2*t = 8 - 2t [/tex].
The divisor is 3.
[tex] Quotient = \frac{8 - 2t}{3} [/tex]
which of the following are solutions to the equation below x^2+4x-9=x+1 check all that apply a. 2 b. 4 c. -7 d. -3 e. -5 f. -4
Answers
Answer:
a. and e.
Step-by-step explanation:
Hello, there are two ways to handle this kind of question.
... Either you solve the equation ...
[tex]x^2+4x-9=x+1\\\\x^2+3x-10=0\\\\x^2-2x+5x-10=x(x-2)+5(x-2)=(x+5)(x-2)=0\\\\x= -5 \ \ or \ \ x = 2[/tex]
So the right answers are a. and e.
... Or, you check which answer can be right.
We replace x by 2 and the two expressions are equal.
[tex]2^2+4*2-9=4+8-9=3 \ and \ 2+1=3[/tex]
So this is a. 2
We replace x by 4 and the two expressions are not equal.
[tex]4^2+4*4-9=16+16-9=23 \ and \ 4+1=5[/tex]
So this is not b. 4
We replace x by -7 and the two expressions are not equal.
[tex]7^2-4*7+9=49-28+9=30 \ and \ -7+1=-6[/tex]
So this is not c. -7
We replace x by -3 and the two expressions are not equal.
[tex]3^2-4*3-9=9-12-9=-12 \ and \ -3+1=-2[/tex]
So this is not d. -3
We replace x by -5 and the two expressions are equal.
[tex]5^2-4*5-9=25-20-9=-4 \ and \ -5+1=-4[/tex]
So this is e. -5
We replace x by -4 and the two expressions are not equal.
[tex]4^2-4*4-9=16-16-9=-9 \ and \ -4+1=-3[/tex]
So this is not f. -4
Thank you.