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
====MATH QUESTION====Extra points
need help asap will give brainlest
A system of______linear equations has no solution.
I don't get it, the concept is to make a proof, but I'm so confused!!!!
Answer:
Try Finding What A And B Is...
Step-by-step explanation:
The parabola in the figure below has an equation of the form
y = ax^2 + bx - 4.
Find the equation of the parabola
Answer:
y = - x² + 5x - 4
Step-by-step explanation:
Given that the zeros are x = 1 and x = 4 , then the corresponding factors are
(x - 1) and (x - 4) , then
y = a(x - 1)(x - 4) ← a is a multiplier
= a(x² - 5x + 4)
To find a substitute the coordinates of any other point on the parabola into the equation.
Using (2, 2), then
2 = a(4 - 10 + 4) = - 2a ( divide both sides by - 2 )
a = - 1
Thus
y = - (x² - 5x + 4) = - x² + 5x - 4 ( with a = - 1 and b = 5 )
An account with an initial deposit of 3,500 earns 7.25% annual interest, compounded continuously. How much will the account be worth after 30 years? Round to the nearest cent.
Answer: $28,575.05
Step-by-step explanation:
Formula: FV = (1+r/n)^nt
FV = future value of the deposit
P = principal or amount of money deposited
r = annual interest rate (in decimal form)
n = number of times compounded per year
t = time in years.
3,500(1+7.25%)^30=28,575.05468
What is the geometric mean of 7 and 56
The quotient of a number and 6 minus -1/3 is equal to the quotient of the number and 8. What is the number?
Answer:
x = 8
Step-by-step explanation:
Let the number = x
x/6 - 1/3 = x/8
-1/3 = x/8 - x/6
-1/3 = (6x-8x)/48
-1/3 = -2/48x
Divide both sides by -2/48
x = -1/3 ÷ -2/48
= -1/3 × -48/2
= 48/6
= 8
x = 8
The number = 8
HELP ASAP!!!!!!!
PLS I NEED THIS TURNED IN IN 10 MINS
Answer:
slope = 2
y-int = 3
Step-by-step explanation:
y-intercept can be determined by the coordinate (0,3) which is 3 units up from origin on the y-axis
slope can be determined by taking the difference of a pair of y-values and dividing it by the difference of the x-values
ex, 3 - 1 = 2
0 - (-1) 1
or: 5 - 3 = 2
1 - 0 1
The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.
Please help!!!
Answer:
The first angle is the smallest
Step-by-step explanation:
Step one:
given data
Angle 1= x+37
Angle 2= 90
angle 3= x+67
We know that the sum of angle in a triangle is 180
so
x+3+90+x+67= 180
collect like terms
2x+160= 180
2x=180-160
2x= 20
divide both sides by 2
x= 10
Step two:
so
Angle 1= 10+37= 47 °
Angle 2= 90= 90
angle 3= 10+67= 77 °
Estimate 44 + 33 =
decimals
Answer:
My estimate is 70, but the answer towards 33 plus 44 is 77
Please correct me If i am wrong
Step-by-step explanation:
What is the greatest common factor of 3 and 6?
3
6
18
36
Answer:
36
Step-by-step explanation:
the greatest common factor is 36 because
3 times 12 is 36
6 times 6 is 36
pls mark be brainliest!!
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{3}}}}[/tex]
[tex] \sf{Step - by - step \: explanation}[/tex] :
[tex] \sf{Factors \: of \: 3 = \: 1 \: \times 3}[/tex]
[tex] \sf{Factors \: of \: 6 = 1 \times 2 \times 3 }[/tex]
G.C.F = Common prime factors = 1 × 3 = 3
Hence , the Greatest Common Factor ( GCF ) of 3 and 6 is 3 .
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✑ Explore more !!
GCF is also called Highest Common Factor ( HCF ) and the Greatest Common divisor ( GCD ) . The GCF of any numbers can be obtained by using two methods. They are :
1. Prime Factorization method
The steps for finding GCF by this method are :
First of all , find the prime factor of each numbers.Take out the common prime factors of given numbers.Multiply those all common prime factors and the number which is obtained is GCF. If there is no any common prime factor existing , then 1 is considered as GCF of those numbers.2. Division method
The steps for finding GCF by this method are :
Divide the larger number by smaller one.In case of remaining remainder , divide the first divisor by that remainder.Again if remainder leaves , divide the second divisor by the remainder.Repeat the process until the remainder becomes the zero. So , that the last divisor is the GCF.Hope I helped ! ♡
Have a wonderful day / night ツ
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Amy want to buy a desk. The original price is 60$. It is on
sale for 10%. How much will amy save?
Answer:
20.40
Step-by-step explanation:
Answer:
10 dollars. I think.
Step-by-step explanation:
help me im so sad determine the values of X for which f(x) is defined
Answer:
[tex]f(x) = \frac{(2x - 1)(3x - 2)}{9x - 4} \\ open \: brackets \\ = \frac{(6 {x}^{2} - 4x - 3x + 2) }{9x - 4} \\ = \frac{6 {x}^{2} - 7x + 2 }{9x - 4} \\ let \: x \: be \: 1 \\ f(1) = \frac{(6 - 7 + 2)}{(9 - 4)} \\ = \frac{1}{5} [/tex]
Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6
Answer:
They both equal
Step-by-step explanation:
The statement is true about ∠2 and ∠6 is corresponding angles.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
Parallel lines j and k are cut by transversal t .
We have to find statement is true about ∠2 and ∠6.
According to given question we have
Parallel lines j and k are cut by transversal t .
So,
∠2 = ∠6 ( corresponding angles)
∠1 = ∠5 ( corresponding angles)
Therefore, the statement is true about ∠2 and ∠6 is corresponding angles.
Learn more details about line here:
https://brainly.com/question/2696693
#SPJ1
A pet shop offers an iguana for $\color[rgb]{0.35,0.35,0.35}\$80$ and a parakeet for $\color[rgb]{0.35,0.35,0.35}\$40$. During a sale, Chris bought the iguana at a $\color[rgb]{0.35,0.35,0.35}40\%$ discount and the parakeet at a $\color[rgb]{0.35,0.35,0.35}55\%$ discount. The total amount saved on Chris’s new pets was what percent of the total of their original prices?
Answer:
Ok me la p3l4swkekbdjwkkagdy2hk
Find the volume of the figure in cubic centimeters.
Answer:
755.16 cm³
Step-by-step explanation:
We can separate this into two parts -- the bottom rectangular prism and the top triangular prism.
The volume of the bottom part is 12*4*14 = 672 cm³
For the triangular prism, we have an equilateral triangle, with sides 4cm, as well as a length of 12cm. We can find the area of the triangle and multiply it by 12 for our answer. The area of an equilateral triangle is [tex]\frac{\sqrt{3} }{4} 4^{2}[/tex], which is approximately 6.83 -- we can multiply that by 12 to get 83.16 cm³
Add these 2 up to get 755.16 cm³ as our answer
Write an equation of the line with a slope of
-
and y-intercept of -6.
y
Answer:
Y = mX+C
Y =mX-6
Y =m(0)-6
Y = -6
the line passes through origin so
X=0
(0,6)
4 Isabel is designing a new fish tank that is shaped like a triangular prism with lateral faces made of glass. A model of the fish tank and its dimensions are shown below. 10 in 8 in 1 6 in 8 in What is the lateral surface area of Isabel's fish tank?
Answer: 192 in2
AL=(a+b+c)h=(10+8+6)·8=192
ummmmmmmmmmmmmmmmmmmmmmmmmm help pls
Answer:
[tex]\displaystyle m=\frac{-5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, 2)
Point (4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{-3-2}{4-2}[/tex]Subtract: [tex]\displaystyle m=\frac{-5}{2}[/tex]
Write 8 x 10^-4 in standard notation.
Answer:
0.0008
Step-by-step explanation:
[tex]8 \times {10}^{ - 4} = 0.0008[/tex]
i’ll give u brainliest!!
what is the area of shape 1, 2 and 3
Answer:
Shape 1: 25.915
Shape 2: 102.85
Shape 3: 142
Step-by-step explanation:
For shape 1, you have to divide 7.1 to get half the width of the triangle. You get 3.55 from that, and then finding the triangle itself you have to do 7.3*3.55 to get 25.915. For shape 2, you first do the harder parts (the triangles) and since there is two of them we don't need to half the width of each triangle. But first to get the width, we need to do 20-17.4=2.6. But since there are 2 triangles we need to divide that by 2 to get 1.3. Then you multiply that by 5.5 to get the final area of both triangles which is 7.15. Next you simply find the rectangle which is 17.4*5.5=95.7. You add the triangles area to get 102.85. Finally for shape 3 you simply do 7.1*20=142.
Answer:
after u get ur answers, u add up all the numbers to get ur total
Step-by-step explanation:
if a car travels 120 miles in 4 hours. what is its speed per hour
Answer:
v = 30 km/h
Step-by-step explanation:
Given that,
Distance covered by a car, d = 120 miles
Time, t = 4 hours
We need to find the speed of the car. The speed of an object is equal to the distance covered divided by the time taken. It can be given by :
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{120\ \text{miles}}{4\ \text{hour}}\\\\v=30\ \text{mph}[/tex]
So, the speed of the car is 30 km/h.
Select all ratios equivalent to 2:5
Answer:
Sorry but ummm... you forgot to add a screenshot... :/
Step-by-step explanation:
Maybe post that question again with a screenshot
Answer:
16 : 40
Step-by-step explanation:
it is the only option that will work
An item is regularly priced at $15. Kala bought it on sale for 75% off the regular price find out how much Kalla paid
Answer:
$11.25
Step-by-step explanation:
you take 75% of 15
Answer:
11.25
Step-by-step explanation:
because I used a calculator
Someone pls help what would this slope be ?
Answer:
-3/5x
Step-by-step explanation:
It is a negative slope and use rise over run
If the temperature is 77 F what is it in Celsius
Answer:
25 degrees celcius
Step-by-step explanation:
I WILL GIVE YOU BRAINLY PLSS
Victor scored a 9, 7, and 10 on his first three math tests. What score must he get
on his fourth test to have a score of at least 34 points?
A. ≥ 8
B. 9
D. > 8
PLSS SHOW YOUR WORK PLSS
Answer:
9
Step-by-step explanation:
9+10+7=26. 9+26=35 so he has 35 points which is more than 34. hope this helps
Which of the following statements is true of the diagram?
Answer:
option 2
Step-by-step explanation:
QR = 15 ( triangle is a 8- 15- 17 Pythagorean triple )
cosP = [tex]\frac{PR}{PQ}[/tex] = [tex]\frac{8}{17}[/tex] ≠ [tex]\frac{8}{15}[/tex]
tanQ = [tex]\frac{PR}{QR}[/tex] = [tex]\frac{8}{15}[/tex] ≠ [tex]\frac{15}{8}[/tex]
sinP = [tex]\frac{QR}{PQ}[/tex] = [tex]\frac{15}{17}[/tex] ≠ [tex]\frac{8}{17}[/tex]
cosQ = [tex]\frac{QR}{PQ}[/tex] = [tex]\frac{15}{17}[/tex] ← correct statement
Answer:
its the cos q = 15/17
Step-by-step explanation:
cos q = 15 (adjacent) / 17 (hypothenuse)
Which of the following represents the solution to the equation 4x - 2 = 10?
Answer:
the top option
Step-by-step explanation:
solve 4x - 2 = 10 and you get
4x = 12
x = 3
this means there is only one solution and only 3 should be filled in
HELP HELP HELP
{TRUE OR FALSE}
a rational fraction is not defined for the values of x that make the denominator zero
Answer:
ture
Step-by-step explanation:
anything that divide by 0 is not defined.
