Answer:
tanθ=2√2
Step-by-step explanation:
cosθ= 1/3, and θ is acute;
cos²θ=1/9
sin²θ+cos²θ=1
sin²θ=1-cos²θ=1-1/9=8/9
=> sinθ=√(8/9)=2√2 /3
tanθ=sinθ/cosθ
tanθ=(2√2 /3)/(1/3)=2√2
tanθ=2√2
15) Martha wants to put carpet in a rectangular room that measures 14 feet by 16 feet. There is a section in front of
the door which measures 3 feet by 4 feet that will remain tiled. How many square feet of carpet will Martha need?
Answer:
5 ft
Step-by-step explanation:
What’s this someone answer for 13 points
If you were an integer, which integer would you be and why?
Answer:
6
Step-by-step explanation:
Because my lucky num is 6
Answer: 7
Step-by-step explanation:because it is one of my favorite integers
Which statement is true regarding the functions on the
graph?
WN
(6)
f(3) = 9(3)
f(3) = g(6)
(6) - 9(6)
-124
Answer:
the last one
Step-by-step explanation:
need help ezy points plz
Answer:
24 cubic inches.
Step-by-step explanation:
[tex]2a \times a^{2} +a^{3} \\2a^{3} +a^{3}[/tex]
[tex]3a^3\\3(2)^3\\3 \times 8[/tex]
A hemisphere fake stone made of clay has a diameter of 16 inches. The density of clay is 0.0035 pounds per cubic inch. The clay is sold by one pound increments only and costs $4.59 per pound. How much would it cost to buy enough clay to make 8 complete hemisphere stones?
Answer:
$137.82
Step-by-step explanation:
The volume of a hemisphere stone is given by the volume of a half-sphere:
Volume = (2/3) * pi * radius^3
If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:
Volume = (2/3) * pi * 8^3 = 1072.33 in3
We need a total of 8 stones, so the total volume is:
Total Volume = 8 * 1072.33 = 8578.64 in3
The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:
Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds
Finally, if the price of each pound of clay if $4,59, the final price is:
Price = 30.0252 * 4.59 = $137.82
Select the correct answer.
The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number?
A. The equation that represents this situation is 10 - x= -18. The second number is 28.
OB.
The equation that represents this situation is 10+ x=-18. The second number is -28.
C.
The equation that represents this situation is r- 10 =-18. The second number is -8.
D. The equation that represents this situation is -10+ x = -18. The second number is -8.
Answer:
Thw answer would be B
Step-by-step explanation:
Answer:
OB.
The equation that represents this situation is 10+ x=-18. The second number is -28.
Step-by-step explanation:
First, sum means added together.
Second, one value in the sum is given so:
10+(var)=-18
var=8
and if we solve, we get -28.
Nancy prepared 12 kilograms of dough after working 6 hours. How much dough did Nancy prepare if she worked for 10 hours? Solve using unit rates.
Answer:
20 kilograms of dough
Step-by-step explanation:
Given that;
12 kilograms working 6 hours
Rate = 12/6 kilogram per hour = 2 kilogram per hour
So,
In 10 hours he would produce;
Amount of dough = Time × rate
Time = 10 hours
= 10 hours × 2 kilograms per hour
= 20 kilograms of dough
Answer:
20 kilograms of dough
Step-by-step explanation:
Given;
12 kilograms of dough for 6 hours
how many of this will be produced in 10 hours ?
= (12 x 10) / 6
= 20 kilograms of dough
=
A person is listening to a 500 Hz tone sitting from a distance of 450 m from the sound source. What is the time interval between successive compressions from the source?
Answer:
So, the time interval between successive compression from the source is 0.002 seconds.
Step-by-step explanation:
Given that,
Frequency of the tone, f = 500 Hz
It is sitting at a distance of 450 m from the source of sound, d = 450 m
Let t is the time interval between successive compression from the source. We know that the relation between the frequency and the time period is :
[tex]T=\dfrac{1}{f}T=\dfrac{1}{500}\\\\T = 0.002 s[/tex]
So, the time interval between successive compression from the source is 0.002 seconds.If a line is perpendicular to a line segment, what angle do they form at their
intersection?
A. 90°
B. 45°
C. 180°
D. 09
A ball is thrown straight up from the top of a 40 feet tall building with an initial speed of 24 feet per second. The height of the ball as a function of time can be modeled by what function h(t) = _________________ 1. after how many seconds the ball hit the ground. 2.What is the maximum height of the ball? 3.How long did it take for the ball to reach its maximum height?
Answer:
1)The ball hits the ground after 3 seconds.
2)The maximum height of the ball is 49 feet
3)It takes 1.25 seconds to reach its maximum height
Step-by-step explanation:
Height of building = 40 feet
We are given that A ball is thrown straight up from the top of building with an initial speed of 24 feet per second.
So, The height of the ball as a function of time can be modeled by: [tex]h(t)=-16t^2+40t+24[/tex]
1)After how many seconds the ball hit the ground.
Substitute h(t)=0
So,[tex]-16t^2+40t+24=0\\-2t^2+5t+3=0\\2t^2-5t-3=0\\2t^2-6t+t-3=0\\2t(t-3)+1(t-3)=0\\(2t+1)(t-3)=0\\t=\frac{-1}{2} , 3[/tex]
Since time cannot be negative
So,the ball hits the ground after 3 seconds.
2)What is the maximum height of the ball?
It takes maximum height at vertex
Formula : [tex]t = \frac{-b}{2a}[/tex]
[tex]t=\frac{-40}{2(-16)}=1.25 seconds[/tex]
Substitute the value of t in function
[tex]h(1.25)=-16(1.25)^2+40(1.25)+24\\h(1.25)=49 feet[/tex]
So,the maximum height of the ball is 49 feet
3).How long did it take for the ball to reach its maximum height?
It takes 1.25 seconds to reach its maximum height
Which of the following is the correct first step to solve 5x^2 - 20x = -15 by completing the square? 1. Add 100 to both sides. 2. Divide all terms by 5. 3. Divide all terms by -5. 4. Add 15 to both sides.
Answer:
3. Divide all terms by 5Step-by-step explanation:
given any quadratic equation ([tex]5x^2 - 20x = -15[/tex])
the steps to follow accordingly are
make the coefficient of the [tex]x^2[/tex] term to be 1 (divide all terms by the coefficient of [tex]x^2[/tex])Add 15 to both sides.Solve the completed squares.Answer:
The answer is Divide all terms by 5.
Step-by-step explanation:
I got it right on my test
The area of a square patio is 36 ft sq. What are the side measurements of the patio?
2 ft by 18 ft
4 ft by 9 ft
3 ft by 12 ft
6 ft by 6 ft
please hellppppp!
Answer:
6ft by 6 ft
Step-by-step explanation:
area of a square =length*width whereas they are supposed to be of the same measurements
Do your magic!!!...If you can’t see it’s x to the fifth over negative x and you need to divide them
Answer:
-x⁴
Step-by-step explanation:
x⁵/(-x)= -x⁴
20 POINTS !! PLEASE ANSWER THIS QUESTION !!
Answer:
a.
Step-by-step explanation:
It is not a negative so it can’t be c or d I think it is a
Answer:b
Step-by-step explanation:
The graph of equation (3,-2) passes through which point
Answer:
If the y-intercept is 0, then this graph passes through [3,-2][6,-4][9,-6] and so forth.
Step-by-step explanation:
Rise over run, 3 is the rise, and -2 is the run. Using this you can find any point on the line up to infinity.
Answer:
it passes through y intercept
Please mark me as a Brainliest
Can someone please help me with this!!
Answer:
33.7°
Step-by-step explanation:
The smallest angle -> opposite of the smallest side
Smallest side = 10yards
Calling this angle a
we have 10^2 = 15^2 +18^2 -2*15*18*cosa
-> cos a=0.83
cos^-1(a)=0.83 -> a =33.7 degree
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
At the time of launch height of the object was 60 meters.
Step-by-step explanation:
An object was launched from a platform and its height was modeled by the function,
h(x) = -5x² + 20x + 60
Where x = time or duration after the launch
At the time of launch, x = 0
So, by putting x = 0 in this equation,
h(0) = -5×(0) + 20×(0) + 60
h(0) = 60
Therefore, at the time of launch height of the object was 60 meters.
I’m not getting these at all
Answer:
[tex]\frac{a}{1 +bc} = x[/tex]
Step-by-step explanation:
In this question, it appears that you need to solve this equation in terms of x.
Beginning with the equation a = x(1 + bc), we must isolate the 'x' variable and make an equation equivalent to 'x'. This can be done by:
a = x(1 + bc)
Divide (1 + bc) from both sides, giving you:
[tex]\frac{a}{1 +bc} = x[/tex]
please help i don’t know what to do and this will help me pass 7th grade thank you!!!
Height of table is 18 inches
Height of one block is 2 inches
The height would be 34 inches with 8 blocks ✌️
Answer:
Well each block is 2
Step-by-step explanation:
cause the height of the table is 18 itself it says in the table and one block just adds 2
i hope it's right sorry if it's not
I understand the struggle
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
(cos^2(x)-1) cot (-x); last expression.
Step-by-step explanation:
You'll first need to simplify the given expression. Then look at each option. To find out whether or not two expressions are equivalent see if they have the same value irrespective of the value of the variables in them.
1) (1-cos^2(x)) cot (-x) is equivalent
2) (cos^2(x)-1) cot(x) is equivalent
3) (sin62(x)-10 tan (x) is equivalent
4) (cos^2(x)-1) cot (-x) is not equivalent.
can someone pls explain how you find the x intercept and how to solve a slope intercept form question????
Answer:
See below
Step-by-step explanation:
Let me give you an example to help;
[tex]y = 2x + 3[/tex]
This equation is in slope - intercept form, which can be demonstrated through the following notation -
[tex]y = mx + b - Where, m = slope, and, b = y - intercept[/tex]
Now to solve for the x - intercept, we will have to propose y as 0;
[tex]0 = 2x + 3,\\2x = - 3,\\x = - 3 / 2 = - 1 and 1 / 2[/tex]
Thus the x - intercept = - 1 and 1 / 2;
* Note that you can't solve a slope intercept form equation, unless it is a system of equations, and if that is the case just let me know and I can help you out with that *
what is the value of x ?
A. 85 B. 105 C. 75 D. 95
The value of the variable 'x' will be 85. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
x + 40 + 55 = 180
Simplify the equation, then the value of 'x' is given as,
x + 40 + 55 = 180
x + 95 = 180
x = 180 - 95
x = 85
The value of the variable 'x' will be 85. Then the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
The missing diagram is given below.
If |x−2|=p, where x<2, then x−p = (A) −2 (B) 2 (C) 2−2p (D) 2p−2 (E) |2p−2|
Answer:
A
Step-by-step explanation:
is the answer because x-x = 0
since -2 is left that's the answer!
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!
Answer:
(7,7)
Step-by-step explanation:
The maximum point in a graph is where the y value is the highest. On this graph, the point (7,7) has the highest y value of 7 of the entire graph, making it the maximum. Hope this helps!
Analyze Nick's solution. Is he correct? If not, what was
his mistake?
Yes, Nick is correct.
O No, the power multiplied to 8.64 should have an
exponent of 0.
No, he needed to subtract the coefficients.
X No, he needed to add the exponents.
Answer: No, the power multiplied to 8.64 should have an exponent of 0. B pretty much
Step-by-step explanation: just got that question trust me it’s right.
Answer:
No, the power multiplied to 8.64 should have an exponent of 0.
What is the measurement of v
The answer is 58 degrees.
PLZ HELP ME W DIS ASAP!!!
Answer:81/m^7(D)
Step-by-step explanation:
81m^5/12
81/m^7
The size of the red squirrel population has decreased exponentially
over the past few years in the UK.
The rate of decrease is 15% per year.
At the start of 2016 there were an estimated 10000 red squirrels in the UK.
Estimate the size of the population of red squirrels in the UK at the start of 2010.
Give your answer to 3 significant figures.
Answer:
The size of the population of red squirrels in the UK at the start of 2010 is 3772
Step-by-step explanation:
At the start of 2016 , No. of squirrels = 10000
The rate of decrease is 15% per year.
So, No. of squirrels after x years = [tex]10000(1-0.15)^x[/tex]
We are supposed to find the size of the population of red squirrels in the UK at the start of 2010.
So,No. of squirrels after 6 years = [tex]10000(1-0.15)^6=3771.49[/tex]
Hence the size of the population of red squirrels in the UK at the start of 2010 is 3772
Answer:
Step-by-step explanation:
The population in 2016 is 10,000 but we re trying to find the population in 2010.
Let the start population be P.
Then P*(1-0.15)^6 = 10000
P*(0.85)^6 = 10000
P = 10000 / (0.85)^6
P = 26514.6834
In 2010 :
P = 26500 to 3 significant figures
Question 7
The equation of a straight line AB is
[tex] \frac{x}{2} + \frac{y}{2} = 1[/tex]
(a) Find the gradient of line AB.
(b) Find the y-intercept of line AB.
(c) A second line PQ is parallel to the line AB and passes through a point (2, -8).
Show that the second line PQ also passes through the point(-1,-5)
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
[tex]\frac{x}{2}[/tex] + [tex]\frac{y}{2}[/tex] = 1 ( multiply through by 2 to clear the fractions )
x + y = 2 ( subtract x from both sides )
y = - x + 2 ← in slope- intercept form
(a) with slope m = - 1
(b) with y- intercept c = 2
(c)
Parallel lines have equal slopes, thus
y = - x + c ← is the partial equation of PQ
To find c substitute (2, - 8) into the partial equation
- 8 = - 2 + c ⇒ c = - 8 + 2 = - 6
y = - x - 6 ← equation of PQ
To show (- 1, - 5) lies on PQ, substitute x = - 1 into the equation and evaluate for y.
y = - (- 1) - 6 = 1 - 6 = - 5 ← the given y- coordinate
Thus PQ passes through (- 1, - 5 )
