Answer:
cos a = -1.28 and 0.78
Step-by-step explanation:
The question is not properly written. This is the correct question:
If sina×tan(a) = 1/2, find cosa
According to trigonometry identity;
tan a = sina/cosa
sina×tan(a) = sin a * sina/cosa
sin²a/cos a = 1/2
(1-cos²a)/cosa = 1/2
Cross multiply
2(1-cos²a) = cos a
2 - 2 cos²a = cos a
2cos²a + cos a - 2 = 0
Let P = cos a
2P² + P -2 = 0
P = -1 ±√1-4(2(2)/2(2)
P = -1 ±√1+16/4
P = -1 ±√17/4
P = -1±4.12/4
P = -1-4.12/4 and -1+4.12/4
P = -5.12/4 and 3.12/4
P = -1.28 and 0.78
Since P = cos a
Hence cos a = -1.28 and 0.78
Let u=-4i-5j and v=3i-6j
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
noice
Step-by-step explanation:
becuase o=boice
Which set of data would most likely show no correlation when graphed
on a scatterplot?
Answer: A) there is no direct correlation
Step-by-step explanation:
What is the slope of the line that passes through the points
(
−
4
,
−
3
)
(−4,−3) and
(
14
,
0
)
?
(14,0)? Write your answer in simplest form.
Answer
y= 1/6x -2.3
Step-by-step explanation:
hope this helps :)
The slope of the line passing through (-4, -3) and (14, 0) is 1/6.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
The slope of the line passing through (-4, -3) and (14, 0) is:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{0-(-3)}{14-(-4)} \\\\m=\frac{3}{18} \\\\m=\frac{1}{6}[/tex]
The slope of the line passing through (-4, -3) and (14, 0) is 1/6
Find out more at: https://brainly.com/question/13911928
find the value of X round to the nearest tenth
Given:
In a right angle triangle triangle, the length of hypotenuse = 47 units.
One of the acute angle = 17°.
Opposite side of the given angle = X
To find:
The value of X. Round to the nearest tenth.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]
A right triangle is crated with the help of dotted lines. In this triangle,
[tex]\sin (17^\circ)=\dfrac{X}{47}[/tex]
[tex]0.2923717=\dfrac{X}{47}[/tex]
Multiply both sides by 47.
[tex]0.2923717\times 47=X[/tex]
[tex]13.74147=X[/tex]
[tex]X\approx 13.7[/tex]
Therefore, the approximate value of X is 13.7 units.
Anyone knows this please help me
Answer:
(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Step-by-step explanation:
Given the 2 equations
2x² + 4x - y = - 2 → (1)
x² + y = 2 → (2)
subtract x² from both sides in (2)
y = 2 - x² → (3)
Substitute y = 2 - x² into (1)
2x² + 4x - (2 - x²) = - 2
2x² + 4x - 2 + x² = - 2
3x² + 4x - 2 = - 2 ( add 2 to both sides )
3x² + 4x = 0 ← in standard form
x(3x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]
Substitute these values into (3) for corresponding values of y
x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)
x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
25. A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
Atile will be randomly selected from the bag. What is the probability in decimal
form that the tile selected will be green?
Which statement about this product is true? 0.44×(−5 3/4)
It is equal to 0 because 0.44 rounded to the nearest whole number is 0, and 0 times any number is 0.
It is equal to −534 because 44 is equal to 1, and 1 times any number equals that number.
It is greater than −3 because 0.44×534 is less than 12×6.
It is less than −534 because multiplying by a number less than 1 gives a smaller number.
Answer:
A.)
Step-by-step explanation:
Which of the following represents the factorization of the binomial below?
x² - 121
O A. (x-11)(x-11)
B. (x +11)(x+11)
C. (x +11)(x-11)
D. (X)(x-121)
Answer:
C. (x + 11) (x - 11)
Step-by-step explanation:
x² - 121
= x² - 11²
= (x + 11) (x - 11) (Difference of two squares)
PLEASE HELP AND QUICK WILL GIVE THANKS
Answer:
15.012
Step-by-step explanation:
tan(theta) = opposite/adjacent
tan65 = x/7
x = 7tan65
x = 15.012
hope this helped!
HELP MEEEE!
7th gradeeee
Answer:
0=0
Step-by-step explanation:
Add zero
0+2=2
2=2
Subtract 2 from both sides of the equation
2=2
2−2=2−2
Simplify
Combine like terms
2−2=2−2
0=2-2s
or
0=2s-2
0=0
Answer 0=0
Hey guys ( or gals ) I have no idea what to do please help me.
Answer:
Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.
You would have to find a GCF (greatest common factor) and multiply it out of the radical.
ex.
[tex]\sqrt{6}[/tex] = 2 x 2 x 2
when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2
2[tex]\sqrt{2\\}[/tex]
so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.
[tex]\sqrt{11}[/tex]
is an irrational number, so it might fall into 3.3 if turned into a decimal.
Step-by-step explanation:
what is the answer to -2+2x=?
Answer:
-2+2x=0
2x=+2
x= 2/2
x=1
Of the 90 gallons of water the average uses each day, 30% is used outdoors mason wants to know how much water is used outdoors?
Answer:
Step-by-step explanation:
J
Answer:
90*0.3= 27 gallons of water are used outdoors each day
If 5 1/3= x/3 then x=
Answer:
x=16
Step-by-step explanation:
2 lines that never intersect
Answer:
are parallel
Step-by-step explanation:
PLEASE MARK BRAINLIEST!
Answer:
Your answer is:
Step-by-step explanation:
dun, dun, DUNNN
parallel lines!
I hope this helps!
- sincerelynini
Find the slope of the line through (9, 4) and (0, 5).
Answer:
It's just y2-y1 over x2-x1
Step-by-step explanation:
so pick a coordinate and make it 1 and make the other one 2 and put in the numbers.
The slope of the line will be m = -1/9.
What is the general equation of a Straight line?The general equation of a straight line is -y = mx + c
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis
Other possible equations of line are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a line through (9, 4) and (0, 5).
The slope of the line will be -
[m] = (4 - 5)/(9 - 0)
[m] = - 1/9
Therefore, the slope of the line will be m = -1/9.
To solve more questions on straight line, visit the link below-
brainly.com/question/20400984
#SPJ2
Kara's family is thinking about renting an SUV that can travel 6 2/3 miles on 1/6 gallon of gas. Kara wants to know the gas mileage of the SUV.
Answer: 40
Step-by-step explanation:
Find the reciprocal of the divisor
1/6: 6/1
Multiple it with the dividend
20/3 divided by 1/6= 20/3 x 6/1
20x6 = 120
3x1 = 3
Reduce the fraction: 40/1
What is g(-5) equal to?
Answer:
-5g
Step-by-step explanation:
Multiply -5 and g.
MOON The expression gives the weight of an object on the Moon in pounds with a weight of w pounds on Earth. What is the weight of a space suit on the Moon if the space suit weighs 178.2 pounds on Earth?
Answer: 29.7 pounds
Step-by-step explanation:
The expression in question is w/6.
If the weight of an object on earth is w, the weight of the object on the moon is w/2.
The weight of the space suit is therefore:
= 178.2/6
= 29.7 pounds
PLEASE HELP!!! URGENT!!!
Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states that it should be y3 – 4x2y + 3x3 +2. Explain which student is correct and why.
Answer:
They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.
Sample Response: They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.
find the measure of the missing angles
Answer:
b=80
c=80
Step-by-step explanation:
the angle opposite to the 100 degree angle is congruent to it
same goes for b and c
so far we have 2 angles that measure 100 degrees 100+100=200
the sum of the 4 angles is 360
360-200=160
160/2=80=b=c
20\left(-1.5r+0.75\right)20(−1.5r+0.75)20, left parenthesis, minus, 1, point, 5, r, plus, 0, point, 75, right parenthesis
Answer:
wet
Step-by-step explanation:
fart
Answer:
3.25
Step-by-step explanation:
did on khan
What is the equation of a line with a Y intercept of -3 and a slope of five
Answer:
y = 5x -3
Step-by-step explanation:
m=5
b=- 3
y = mx + b
y = 5x -3
A family of 2 adults and 3 children went to a movie. The tickets cost $8 for adults and $5 for children. They also bought 3 sodas for 1.99 and a large bucket of popcorn for 5.99. How much money did the family spend on their outing to the movies total.
Total for all the movie tickets:
Total for the sodas:
Total spent on the evening:
Answer:
Total for all the movie tickets:$31
Total for the sodas:$5.97
Total spent on the evening:$42.96
Find the range of the function f(x) = 4x – 1 for the domain {-1, 0, 1, 2, 3}.
A. {-5, -3, 0, 7, 11}
B. {-5, -4, -3, -2, -1}
C. {-11, -7, -3, 1,5}
D. {-5,-1, 3, 7, 11}
Answer:
D
Step-by-step explanation:
f(-1) = -5, so C is incorrect
f(0) = -1, so D is correct
I NEED HELP PLEAZE!!!!!!!!!!!!!!!! =(
Answer:
x[tex]\sqrt{6y}[/tex]/ 3[tex]y^{2}[/tex]
Step-by-step explanation:
Find c, given that a + 18.2, B = 62, and C =48. Round answer to the nearest whole number. Do not use a decimal point or extra spaces in the answer or it will be marked incorrect
Answer:
[tex]c=14[/tex]
Step-by-step explanation:
a = 18.2
[tex]\angle B=62^{\circ}[/tex]
[tex]\angle C=48^{\circ}[/tex]
[tex]\angle A=180-(62+48)=70^{\circ}[/tex]
From sine rule we have
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
[tex]\Rightarrow \dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]
[tex]\Rightarrow c=\dfrac{\sin C}{\sin A}a[/tex]
[tex]\Rightarrow c=\dfrac{\sin 48^{\circ}}{\sin 70^{\circ}}\times 18.2[/tex]
[tex]\Rightarrow c=14.4\approx 14[/tex]
[tex]\boldsymbol{\therefore c=14}[/tex].
If the temperature is 77 F what is it in Celsius
Answer:
25 degrees celcius
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Expanded: 4x^2+20x+25
When simplified it changes back, (2x+5)^2
Step-by-step explanation:
Answer:
4x² + 20x + 25
Step-by-step explanation:
Given
(2x + 5)²
= (2x + 5)(2x + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x + 5) + 5(2x + 5) ← distribute both parenthesis
= 4x² + 10x + 10x + 25 ← collect like terms
= 4x² + 20x + 25
