Given the triangle below, answer the following:
Answer:
Step-by-step explanation:
question no . 5
ratio of angle L
take angle as reference angle
using cos rule
cos L = base / hypotenuse
= 4/5
ratio of angle N
take angle N as reference angle
using sin rule
sin N = opposite / hypotenuse
= 4/5
for measure of angle L
cos L = 4/5
cos L = 0.8
L = [tex]cos^{-1}(0.8)[/tex]
L = 36.9
for meanure of angle N
sin N = 4/5
sin N = 0.8
N = [tex]sin^{-1}(0.8)[/tex]
N = 53.1
Find the equation of the straight line that passes through the points (1, 10) and (3, 2)
ANSWER ASAP
Answer:
y = -4x+14
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
m = (2-10)/(3-1)
=-8/2
= -4
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -4x+b
Substitute a point into the equation
10 = -4(1)+b
Add 4 to each side
14 = b
y = -4x+14
Find the equation (in terms of x ) of the line through the points (-2,5) and (3,4)
y=
Answer:
[tex]{ \boxed{ \bf {general \: equation : y = mx + c}}} \\ m \: is \: the \: slope \\ { \green{slope = \frac{ \triangle \: y}{ \triangle \: x} }} \\ m = \frac{(4 - 5)}{(3 - ( - 2))} \\ m = - \frac{1}{5} \\ \therefore \: { \red{y = - \frac{1}{5} x + c}} \\ consinder \: the \: first \: point : \\ 5 = ( - \frac{1}{5} \times - 2) + c \\ c = \frac{23}{5} \\ \therefore \: { \boxed{ \bf{answer : 5y = - x + 23}}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
Choose the correct vertex of the function f(x) = x2 - X + 2.
Answer:
The vertex of the function is [tex](\frac{1}{2}, \frac{7}{4})[/tex]
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
f(x) = x² - X + 2.
Quadratic equation with [tex]a = 1, b = -1, c = 2[/tex]
So
[tex]\Delta = b^2-4ac = (-1)^2 - 4(1)(2) = 1 - 8 = -7[/tex]
[tex]x_{v} = -\frac{(-1)}{2} = \frac{1}{2}[/tex]
[tex]y_{v} = -\frac{-7}{4} = \frac{7}{4}[/tex]
The vertex of the function is [tex](\frac{1}{2}, \frac{7}{4})[/tex]
which of the following nets does not make a triangular prism?
Diagram A and Diagram B do not form a triangular prism
k+9=7..................................................
Answer:K=-2
Step-by-step explanation:
becuase you do the opposite of +9 which is -9 and you do 7-9 which is -2 so K=-2
Help please this is so hard I don't understand it
Answer:
<ABC = 15
< BAC = 150
Step-by-step explanation:
<C = <B since this is an isosceles triangle. We know this because AC = AB
<C = 15 so <ABC = 15
The sum of the angles of a triangle is 180
A + B+ C = 180
A + 15+15 = 180
A +30 =180
A = 180-30
A = 150
< BAC = 150
Please solve the puzzle!
It looks like the number 6 goes there. It seems to be the only one missing :|
i need help with this
Answer:
Step-by-step explanation:
64
128°
Step-by-step explanation:
The measure of the intercepted arc is twice the measure of the inscribed angle in a circle. Since the inscribed angle is given as 64°, that means that the intercepted arc x is 2×64° = 128°
A road in Europe has a speed limit of 60 kilometers per hour. How many miles per hour is this?
Answer: 37.28 mph
Step-by-step explanation:
Which of the following is NOT a solution to the linear equation y=3x+2?
Select the correct answer below:
(1,5)
(2,8)
(3,10)
(4,14)
Answer:
(3,10)
Step-by-step explanation:
When x is 3
[tex]{ \bf{y = 3x + 2}} \\ { \bf{y = (3 \times 3) + 2}} \\ { \bf{y = 11}}[/tex]
y is 11, and this is invalid because it is not at accord.
The correct coordinates which is NOT a solution to the linear equation
y = 3x+2 is,
⇒ (3, 10)
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Linear equation is,
⇒ y = 3x + 2
We know that;
The solution of linear equation is satisfy the eqaution.
Hence, We can check as;
⇒ y = 3x + 2
Put x = 1. y = 5
⇒ 5 = 3 × 1 + 2
⇒ 5 = 5
Thus, It is solution of linear equation.
⇒ y = 3x + 2
Put x = 2. y = 8
⇒ 8 = 3 × 2 + 2
⇒ 8 = 8
Thus, It is solution of linear equation.
⇒ y = 3x + 2
Put x = 3, y = 10
⇒ 10 = 3 × 3 + 2
⇒ 10 ≠ 11
Thus, It is not solution of linear equation.
Thus, The correct coordinates which is NOT a solution to the linear equation y = 3x+2 is,
⇒ (3, 10)
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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In the diagram, the lines dividing parking spaces are parallel. The measure of ∠1 is 110°. Identify the measures of each labeled angle to ensure cars can park safely.
Answer:
1=110 2=70 3=70 4=110 5=110 6=70 7=70 8 =110
Step-by-step explanation:
its the answer
(2x^4+5x^3+5x^2+10+8)/(x+2)
Answer:
30
Step-by-step explanation:
You use polynomial division to divide all the numbers on the numerator by the denominator.
A survey of 1000 young adults nationwide found that among adults aged 18-29, 35% of women and 30% of men had tattoos. Suppose that these percentages are based on random samples of 500 women and 500 men. Using a 2.5% level of significance, can you conclude that among adults aged 18-29, the proportion of all women who have tattoos exceeds the proportion of all men who have tattoos?
Answer:
95% confidence interval for adults in age group 18-29 is (-0.007, 0.107)
Step-by-step explanation:
Given
N1 = n2 = 500
% of males = 0.30
% of females = 0.35
95% confidence interval
(p2-p1) + z(0.025) sqrt (p1q1/n1 + p2q2/n2) and (p2-p1) - z(0.025) sqrt (p1q1/n1 + p2q2/n2)
Substituting the given values, we get –
(0.35-0.30) + 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500) and (0.35-0.30) - 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500)
0.05 + (1.96 *0.029) and 0.05 - (1.96 *0.029)
0.05 + 0.057 and 0.05 – 0.057
(-0.007, 0.107)
What is y=4/5x+2 written in standard form?
Chose 1 answer:
A.−4/5x+y−2=0
B. 5y=4x+10
C. y=4/5(x+5/2)
D. −4x+5y=10
Answer:
The "Standard Form" for writing down a Linear Equation is
Ax + By = C
A shouldn't be negative, A and B shouldn't both be zero, and A, B and C should be integers.
--------------------------------
y = 4/5x + 2
Multiply both sides by 5 to clear the fraction
5y = 4x + 10
Subtract 4x from both sides
-4x + 5y = 10 This is answer D, BUT A shouldn't be negative
Multiply both sies by -1
4x - 5y = -10 This is correct Standard Form, BUT it is not one of the choices
Answer D is closest to being correct
What is the slope of the line shown in the graph?
A coordinate plane is shown with points graphed at −2 comma 2 and 0 comma 1. The points are joined by a line.
−2
−1
−1 over 2
1 over 2
Answer:
-1 over 2
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
The line joins (-2, 2) and (0, 1).
Remember that slope equals change in y all divided by the change in x.
Here,
change in y = 1 - 2 =- 1
change in x = 0 -(-2) = 2
Thus, slope =- 1/2
What are the solutions to
96x(730) = (85/x)(15)
in decimal form?
Answer:
[tex]x = 0.1349[/tex]
Step-by-step explanation:
Given
[tex]96x (730) = (85/x)(15[/tex]
Multiply both sides by x
[tex]96x^2 (730) = 85 * 15[/tex]
[tex]96x^2 (730) = 1275[/tex]
Rewrite as:
[tex]96*730x^2 = 1275[/tex]
[tex]70080x^2 = 1275[/tex]
Divide by 70080
[tex]x^2 = 0.01819349315[/tex]
Take square roots of both sides
[tex]x = 0.1349[/tex]
Classify each as true or false. if the statement is true, identify the theorem. if the statement is false, give a counter example to show it is false.
Answer:
a) true.
if 3 can divide a without remainder, then a = 3×x.
doubling that number makes it 2×3×x. because of that still included factor 3, it is still divisible by 3 without remainder.
b) false.
example :
a=6, b=4, c=3
bc = 12
6 can divide 12 without remainder, but 6 cannot do that with 4 and not with 3.
or
a=7, b=35, c=10
bc=350
7 can divide 350 without remainder, and can do that also with 35, but not with 10.
what are the range and domain?
Answer:
domain=0
range=2
Step-by-step explanation:
this might be helpful..
Teresa is making iced tea. She has a container that has a volume of 3.95 gallons to store the iced tea.
One sixth of the students of a class joined the
sports club. Three fifth of these students opted
to play table tennis. If 6 students play table
tennis, how many students are there in the
class?
Answer:
5/8 the answer answer answer
In the short run, higher demand will not influence the price, it will influence
A. output.
B. price.
ОО
C. investment.
D. input.
Answer:
c espero q passe na prova tudo de bom pra vc
Can someone help me please???!
Answer:
1) Yes, it is a right angle triangle
2)Yes, it is a right angle triangle
3) No, they are not similar.
Step-by-step explanation:
Dimension of triangle A = 48, 55 & 73
Dimension of triangle B = 36, 77 & 85
For any of the triangles to be a right angled one, then;
c = √(a² + b²)
Where a,b & c are side dimensions of a triangle.
Thus;
Triangle A: c = √(48² + 55²)
c = √5329
c = 73
This tallies with what we are given and so it is a right angled triangle.
Triangle B: c = √(36² + 77²)
c = √(7225)
c = 85
Similar to the third side dimension of 85, thus it is true.
For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.
Thus, we have;
48/36 = 1.5
55/77 = 5/7
73/85 = 73/85
Since the ratios are not similar, then we can say that the triangles are not similar.
Write an equation and solve for x. Show all your work.
Answer:
x=63
Step-by-step explanation:
Because we know that the total angle is a right angle (see the square in the top right of the problem), and 25 and x+2 constitute as the only two angles making up the total angle, we can say that 25 and x+2 are complementary, meaning they add up to 90 degrees. We can then write our equation as follows:
25 + (x+2) = 90
27+x=90
Subtract 27 from both sides
x=63
what'd the greatest common factor (GCF) for each pair of numbers. 25, 55 The GCE IS
Answer:
5
Step-by-step explanation:
5 l 25,55
l 5,11
I’ll give u brainlest please
Answer:
315
Step-by-step explanation:
the formula is V = B * h
B is the area of the base
V = (1/2)(10)(7) * 9
Please help ASAP thank you
Answer:
if you still need the answer its B here the explenation in a picture:
Step-by-step explanation:
what is the coefficient of y in 2-5y÷2
Answer:
-5/2 because there is -5y/2 but we have to take coefficient only so -5/2
60°
b
45°
8
Find a, b, and c.
Plz help :)
Answer:
step 1 : 8/b = sin 45 degree so b = 11.31
step 2 : a/b = sin 60 degree, so a = 9.8
step 3: c/b = cos 60 degree, so c = 5.66
Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use s1, s2, and s3, respectively, for the vectors in the set.)
S = {(3,4),(−1,1),(2,0)}
Answer:
Let's define:
s1 = (3, 4)
s2 = (-1, 1)
s3 = (2, 0)
The system will be linearly dependent if we can write one of the vectors as a linear combination of the other two, so for example:
s1 = a*s2 + b*s3
where a and b are real numbers.
So let's try to solve this:
(3, 4) = a*(-1, 1) + b*(2, 0)
Note that the second term in the left only modifies the x-component. And the y-component in the left is 4, so we can conclude that a = 4 (because the first term is the only that has an y-component different than zero)
(3, 4) = 4*(-1, 1) + b*(2, 0)
(3, 4) = (-4, 4) + b*(2, 0)
Now we need to solve:
3 = -4 + b*2
3 + 4 = b*2
7 = b*2
7/2 = b
Then the linear combination is:
s1 = 4*s2 + (7/2)*s3
(3, 4) = 4*(-1, 1) + (7/2)*(2, 0)
Then the set is linearly dependent.