Answer:
our answer will be in quadrant 1 only.
Step-by-step explanation:
From the
cos−1(1) we have the side adjacent to ∠θ=1 and the side hypotenuse=2 . So this is a 30∘−60∘−90∘ triangle and θ=60∘therefore the opposite to ∠θ=√3.
Note that from the restrictions for the range of inverse circular functions cos−1x is restricted to quadrants 1 and 2 and since the argument is positive 12 our answer will be in quadrant 1 only.
The equation that can be used to find the measure of angle BAC is [tex]A = \tan^{-1}(\frac{12}5)[/tex]
To find the measure of angle BAC, we make use of the following tangent ratio
[tex]\tan(A) = \frac{12}5[/tex]
Next, we take the arc tan of both sides
[tex]\tan^{-1}(\tan(A)) = \tan^{-1}(\frac{12}5)[/tex]
So, we have:
[tex]A = \tan^{-1}(\frac{12}5)[/tex]
Hence, the equation that can be used to find the measure of angle BAC is [tex]A = \tan^{-1}(\frac{12}5)[/tex]
Read more about tangent ratios at:
https://brainly.com/question/14169279
Devide the p(x)=x³+3x+1by (x+5)and find remainder...
In this exercise we have to use the concept of division to calculate how much of it is left, like this:
[tex]-27/8[/tex]
First, let's calculate the value of X from the equation given in the utterance as:
[tex]5+2x=0\\2x=-5\\x=5/2[/tex]
Substituting the found value of X into the equation we have:
[tex]x^3+3x^2+3x+1\\= (-5/2)^3+3(-5/2)^2+3(-5/2)+1\\= -125/8+75/4-15/2+1\\= (-125+150-60+8)/125\\= -27/8[/tex]
See more about division at brainly.com/question/369266
A researcher wants to collect data on how many hours bears sleep during the year. The researcher decides to put an electronic device on all bears that live less than one-half mile from the research station. Are the conclusions drawn from this sample likely to be true for all bears?
Yes
No
Answer:
yes
Step-by-step explanation:
Finding the inverse function for f(x)=1/x^2
to get the inverse of any expression, we start off by doing a quick switcheroo on the variables and then solve for "y".
[tex]\stackrel{f(x)}{y}=\cfrac{1}{x^2}\implies \stackrel{\textit{quick switcheroo}}{x=\cfrac{1}{y^2}}\implies y^2=\cfrac{1}{x}\implies y=\sqrt{\cfrac{1}{x}}\implies \stackrel{f^{-1}(x)}{y}=\cfrac{1}{\sqrt{x}}[/tex]
Find the slope of the line passing through the points (7, -2) and (3, - 7).
Answer:
m = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
To find the slope, we have to use the slope formula:
m = [tex]\frac{y_2 -y_1}{x_2 - x_1}[/tex].
Let [tex](x_1,y_1) = (7, -2)[/tex] and [tex](x_2,y_2) = (3, -7)[/tex]. Then
m = [tex]\frac{(-7)-(-2)}{3-7} = \frac{-5}{-4} = \frac{5}{4}[/tex]
There are choices of 18 Birthday cards,
6 Get Well cards, 9 Graduation cards,
and 12 Anniversary cards. You select
one of each. What is the total number
of ways the cards can be selected?
Step-by-step explanation:
you have 18 choices for the birthday cards.
for each of these 18 choices you have 6 choices to get well cards. that means there are 18×6 choices just for these 2 card types alone.
for each of these 18×6 choices you have then 9 choices of graduation cards. that is in total 18×6×9 choices.
for each of these 18×6×9 choices you have then 12 choices of anniversary cards. that is in total
18×6×9×12 choices = 11,664 choices or ways the cards can be selected.
Megan runs at an average rate of 12 minutes per mile. How many miles will she run in an hour?
What is 516 expressed as a percent?
Enter your answer as a decimal in the box.
Answer: 516 out of 100 would be 516%
hey, i need help for my assignment. ty
Hey there mate :)
These are the answers. Attached in uploaded two picture. Please check.
~ Benjemin360
A factory made 42 packs of mint-flavored gum and 58 packs of fruit-flavored gum. What
percentage of the packs contained mint gum?
Answer:
Total = 42+58 = 100
Now,
percentage of mint gum = 42/100 × 100%
= 42%
42% of packs contained mint gum.
help plz #8 solve the inequality[tex]10 + c \geq 11[/tex]
The graph shows four ordered pairs that representation which ordered par represents that is not equivalent to the others A 212 B 3.1 (5.24 D 16,361
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,64) and (6,96) to find the
number of soda bottles the machine can make
each minute.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{64})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{96}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{96}-\stackrel{y1}{64}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{4}}}\implies \cfrac{\stackrel{bottles}{32}}{\underset{mins}{2}}\implies \cfrac{\stackrel{bottles}{16}}{\underset{mins}{1}}[/tex]
Answer:
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Find the area of this semi-circle with radius,
r
= 24cm.
Give your answer rounded to 1 DP.
Answer:
904.8 cm²
Step-by-step explanation:
The formula for the area of a circle is ...
A = πr²
The area of a circle with radius 24 cm is ...
A = π(24 cm)² = 576π cm²
A semicircle is half a circle, so its area will be ...
(1/2)(576π cm²) = 288π cm² ≈ 904.8 cm² . . . area of the semicircle
The product of −6 and a number is no less than −12
Answer:
2 or -2
Step-by-step explanation:
-6x2=-12 or -6x-2=12
Answer:
It would be a negative or positive 2
Worth MANY POINTS NO NEED TO SHOW WORK
A rectangle is a quadrilateral- Always True
A square is a rectangle- Always True
A rhombus is a rectangle- Sometimes True
A square is a rhombus- Always true
A parallelogram is a rhombus- Sometimes true
A rhombus is a square- Sometimes true
A rectangle is a square- Sometimes true
A rectangle is a parallelogram- Always true
NO LINKS!! Please help me with this trig function problem.
You just need a slight idea about phase shift of waves .And it's just similar like that
every 11 days my dog eats 3 cupcakes. How many does my dog eat in 22 days?
The dog eats 6 cupcakes in 22 days.
(don't know why a dog would be eating cupcakes in the first place, but sometimes math questions don't make the most sense)
Answer:
6 cupcakes
Step-by-step explanation:
"Every 11 days, my dog eats 3 cupcakes" can be written as a proportional relationship in fraction form: [tex]\frac{11}{3}[/tex].
Now, let's set a proportion between the values given.
[tex]\frac{11 days}{3 cupcakes} = \frac{22 days}{x cupcakes}[/tex]As you can see, the number of days is multiplied by 2 to get 22 days. Whatever we do to the numerator, we must do to the denominator. Then, 3 multiplied by 2 is 6.
Therefore, the answer is 6 cupcakes.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Which expressions are greater than 250?
Choose 2 answers:
А
2 x 250
x 250
x 250
10
x 250
8
What is the discriminant of the quadratic equation 4x2 – 7x – 2=0?
Submit Answer
81
17
-17
-81
Use the distributive property to simplify this expression: 0.1(2x+3)
[tex]\huge\text{Answer:}[/tex]
[tex]\huge\mathrm{0.2x+0.3}\checkmark[/tex]
[tex]\huge\text{Solution:}[/tex]
Hi there, hope you are having a great day! :)
[tex]\bigstar\star\star\sf{What\:is\:the\:Distributive\:Property?}[/tex]
The Distributive Property is a property which states that
[tex]\longmapsto\sf{a(b+c)=ab+ac[/tex]
Now, let's apply this property:
[tex]\longmapsto\sf{0.1(2x+3)[/tex]
[tex]\longmapsto\sf{0.2x+0.3}[/tex] (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bf{-MistySparkles^**^*[/tex]
Sy = x+3
3. Solve
by substitution.
2x + y = -6
What is the solution?
A (-9, -6)
B (-3,0)
C (-1,2)
Answer:
B.(-3,0)
Step-by-step explanation:
2 (-3) + 0 = -6
2 x (-3) = -6
-6 + 0 = -6
If sin2M = COS2N and m N= 30°, what is the measure of _M?
150°
90°
60°
30°
Answer:
below
Step-by-step explanation:
n = 30
cos 2*30 = cos 60 = 1/2
sin 30 = 1/2
2m = 30
m=15
Write an equation of a line
when bis 5 and m is -2
Translate The sum of two consecutive integers is 33
Answer:16,17
Step-by-step explanation:16+17=33 consecutive interfere are #that are next to each other.
Derek bought 15 feet of rope for a science project. if he used 10 3/8 feet of the rope, how many feet of rope does he have left
Answer:
155.625 or ( 89/160 )
Step-by-step explanation:
Answer
4 5/8
Step-by-step explanation:
15 - 10 3/8
= (15 - 10) + (0 - 3/8)
= 5 + 0 x 8 - 3/8
=5 + 0/8-3/8
=5 + 0-3/8
=5 -3/8
4 5/8
what do i like to eat at 5:43pm in my country? what am i doing?
Answer:
pasta. you're studying physics
Step-by-step explanation:
does any body know Which decimal is equivalent to 110 thank you
Answer:
1.1 x [tex]10^{2}[/tex]
Step-by-step explanation:
Use scientific notation to move the decimal point 2 spaces to the left, resulting in an answer of 1.1 x [tex]10^{2}[/tex]
Answer: 1.1x10^2
been a while sorry if its wrong
8)90 5. The fourth grade classes are going on a field trip. There are 90 students in all. Each van can seat 8 students. How many vans will be needed? 90 : 8 =
Answer:
12
Step-by-step explanation:
90 divided by 8 = 11.25, so you need 12 vans
1, which numbers will We get if we move 4 steps of -6
true or false
2, on a number line -13 and 15 are at the same distance form the zero
not true or false
3 write the successor of 6 then add them
I don't really know but I would say number 2 is true
Answer:
1. -2 , 10 2. False 3. 13
Step-by-step explanation:
1. if we move 4 steps of -6, it can negative and also positive.
so fr positive: -6 + 4 = -2 , for negative: -6 - 4 = 10
2. False, they are at different distance.
3. successor of 6 is 7 and adding them 6 + 7 = 13.
what is mean deviation all about
please can I have an example
