9514 1404 393
Answer:
40°
Step-by-step explanation:
The side adjacent to the angle of interest and the hypotenuse are given, so the cosine relation is relevant.
Cos = Adjacent/Hypotenuse
cos(?) = 46/60
? = arccos(46/60) ≈ 39.9445°
? ≈ 40°
if log w = (1/2) log x + log y, then w= ?
Answer:
[tex]w = \sqrt{x} y[/tex]
Step-by-step explanation:
Formula used :
[tex]a \ log\ b = log \ b^a\\\\log a + log b = log \ ab[/tex]
[tex]log\ w = \frac{1}{2} log\ x + log \ y\\\\log \ w = log \sqrt{x} + log \ y\\\\log \ w = log \sqrt{x} y\\\\w = \sqrt{x} y[/tex]
What are the solution of (x+3)(x-1)=5
Answer: x= -2
x=4
Step-by-step explanation:
Answer:
im pretty sure both x's equal -4
Step-by-step explanation:
(-4 + 3)= -1
(-4 - 1)= -5
-5 x -1=5
When you multiply a negative number times a negative number that will equal a positive number.
Figure LMNO is a parallelogram.
A parallelogram has points on each corner. The points are M, N, O, L going from the top left, clockwise.
Angles L and M are supplementary. What is the sum of their measures?
Answer:
180 degrees
Step-by-step explanation:
Two angles are supplementary when they add up to 180 degrees. Therefore, the sum of Angle L and M's measures is equal to 180°.
Answer: 180
Step-by-step explanation: took the test on edge! :)
The problem on the left has been solved INCORRECTLY.
1. identify the error
2. explain how to fix the error
3. give the correct solution
PLEASE HELP ME I NEED HELP
The student used the wrong trig ratio. They should use cosine instead.
[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(x) = \frac{9}{29}\\\\x = \cos^{-1}\left(\frac{9}{29}\right)\\\\x \approx 71.9^{\circ}\\\\[/tex]
If the student wanted to use sine, then they would need to use the pythagorean theorem to find the opposite side first. I recommend using cosine since it's faster. Make sure your calculator is in degree mode.
Answer:
x = 71.9 degrees
Step-by-step explanation:
cos x= 9÷29
cos x= 0.31
x =cos-1(0.31)
x = 71.9 degrees
I need help finding the solution
=====================================================
Explanation:
Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure
arc DC = arc CB
12x+7 = 18x-23
12x-18x = -23-7
-6x = -30
x = -30/(-6)
x = 5
---------------------
Use this x value to find the measure of arcs DC and CB
arc DC = 12x+7 = 12*5+7 = 67arc CB = 18x-23 = 18*5-23 = 67We get the same measure for each, which helps confirm we have the correct x value.
The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer
arc DAB = 360-(arc DCB) = 360-134 = 226 degrees
I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find out
the time at which the rocket will reach its max, to the nearest 100th of a second.
16.2? + 239x + 127
Answer:
10.17 Seconds
Step-by-step explanation:
A box contains 8 green, 4 yellow, and 8 purple balls.
You draw a ball at random. Find the probability of drawing
a yellow ball.
Answer:
4/20=1/5
Step-by-step explanation:
It is given that two horizontal lines are parallel. Given that ∠6 = 133°°, find the measure of the other 7 angles from the picture above.
Answer:
the answer is 47
Step-by-step explanation:
133+x=180
Solve the inequality.
pls pls help
Answer:
first u will find de L.C.M which is 6
so u will multiply de whole equation by 6 hence
6(x/3)- 6(x-1/ 2) greater or equal to 6(1)
u will then cancel getting de equation to be
2(x)-3(x-1) greater or equal to 6 (1)
now, u will expand de equation
2x-3x+3 greater or equal to 6
now u group like terms
2x-3x greater or equal to 6-3
hint: greater or equal to must be done with it's symbol
so now for de answer, u will get -x greater or equal to 3
wen u get this, u change de operation to be opposite of de current sign
now de final answer becomes
-x less or equal to 3Solve this system to determine the number of solutions 7x + 12 = 2(x + 6)
A) No Solution
B) Infinitely many solutions
C) One solution
One solution, the answer is x = 0.
Which statement best describes how to determine whether f(x) = x² – X + 8 is an even function?
1. Determine whether -x²-(-x)+8 is equivalent to x²-x+8
2. Determine whether (x)²-x+8 is equivalent to x²-x+8
3. Determine whether -x²(-x)+8 is equivalent to -(x²-x+8)
4. Determine whether (-2)²-(-x)+8 is equivalent to -(x²-x+8)
Answer:
Option 1
Step-by-step explanation:
You can tell if a function is even if [tex]f(-x)=f(x)[/tex]:
[tex]f(x)=x^2-x+8[/tex]
[tex]f(-x)=(-x)^2-(-x)+8[/tex]
[tex]f(-x)=x^2+x+8[/tex]
Since [tex]f(-x)\neq f(x)[/tex], the function is not even. Therefore, option 1 is the best option.
A bag contains 4 red marbles, 3 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be red?
Answer:
Probability = 16.7
Step-by-step explanation:
Total marbles 9
Choosing 2 red = [tex]4C_2[/tex]
Choosing 2 marbles from 9 marbles = [tex]9C_2[/tex]
Probability percent of choosing 2 red marbles from 9 marbles
[tex]\frac{4C_2}{9C_2} = \frac{1}{6} \times 100 = 0.1667 \times 100 = 16.7[/tex]
Answer:
16.6
Step-by-step explanation:
4+3+2=9 marbles
4=red
4/9*3/8=1/6
1/6= 16.6
due today pls help me
Answer:
BC = [tex]5\sqrt{5}[/tex]
Step-by-step explanation:
Hope this helps u !!
Given that angle g measures 117, what is the measure of angle n?
Answer:
117
Step-by-step explanation:
Please help it's urgent if you do not help you will become Jeffery Epstein son!
What term describes the process of using the output of one function as the input for another? A. Function mapping B. Function simplification C. Function composition D. Function notation
Answer: C. Function composition
Step-by-step explanation:
If we have two functions, we can form a new function by composing one function into the other. Such functions are known as composite functions.
For example we have two functions f and g and produces a function h such that h(x) = g(f(x)).
It is generally a function that is written inside another function.
i.e. it is a process of using the output of one function as the input for another.
Thus, the correct option is C.
The required term: Function composition
Parkview apartments has two buildings. each building has three floors each floor has 16 windows. what is the total number of windows in the Parkview apartment building.
Answer:
96
Step-by-step explanation:
3 floors:
3x16= 48windows per building
2 buildings
2x48=96 windows
The table shows the height of a hot air balloon from 1 minute to 5 minutes.
Height of Hot Air Balloon
Time (in minutes)
What ordered pairs would you plot to show the data on a
coordinate grid? How do you think the ordered pairs would
be different if the height of the balloon was measured every
15 seconds instead of every minute? Explain your reasoning
Answer:
You would plote the minutes as your x (1,2,3,4,5) and your height in feet as your y. So some ordered pairs would be (1,35) and (2,60).
Step-by-step explanation:
If it were measured every 15 minutes, the x coordinate, would be multiples of 15.
Hope this helps!
:)
ANSWER QUICK PLEASE
you can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation?
Answer:
consider x as the number of hours you work
so, the function that would satisfy this equation is
10x
Expand the following: a)2(x - 1) b) 3(2x + 3) c) 7(x + 5 d) 5(2x - y) o Tyne here to search
Step-by-step explanation:
a )2x-2
b)6x+9
c)7x+35d
for these type of questions you basically just times the out side number of the brackets by the inside one.
hope this helps u understand:)
i need help hurry show work
Please help!!!!!! I’ll give the brainliest !!!!!!!
For f(x) = 3x + 1 and g(x) = x ^ 2 - 6 find (8/f)(x)
Answer:
9x² + 6x - 5
Step-by-step explanation:
If you mean g(f(x))
g(x) = x² - 6
f(x) = 3x + 1
Then, g(f(x)) = g(3x + 1)
but g(x) = x² - 6
g(3x + 1) = (3x + 1)² - 6 = 9x² + 6x + 1 - 6
= 9x² + 6x - 5
Christine drove 260 miles using 12 gallons of gas. At this rate, how many gallons of gas would she need to drive 286 miles?
Answer:
13.2 gallons
Step-by-step explanation:
286/260 *12 = 13.2
Answer:
about 13.2 gallons
Step-by-step explanation:
Easy way to calculate.
12 gallons divided by 260 miles
Take that answer and multiply it by 286.
pls help me in this question
Answer:
[tex]x=\sqrt{72}[/tex]
Step-by-step explanation:
Hope this helps
Do the side lengths 15,20 and 25 form a right triangle?
PLEASEEEE HELPPPP!!! asap
===================================================
Work Shown:
a^2+b^2 = c^2
15^2+20^2 = 25^2
225+400 = 625
625 = 625
Since the last equation is true, this makes the first equation true for those a,b,c values. Therefore, by the pythagorean theorem converse, this is a right triangle.
Side note: c is always the longest side.
Algebra 1
6.4 DIE
Find the distance between the points (0, -10) and (-8,0).
tbh i think it is 6 i did the math too
Answer:
2√41
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
√(-8 - 0)² + [0 - (-10)]²
√(-8)² + (10)²
√(64) + (100)
√164
= 2√41
Is -451 in the sequence below?
15,7,-1,-9,,-17..
Answer:
No, the closest to -451 in the sequence is -429
Step-by-step explanation:
Answer:
nope
Step-by-step explanation:
Which table shows a proportional relationship between x and y?
in the given graph of a cubic polynomial, what are the number of real zeros and complex zeros respectively
Answer:
1 real and 2 complex
Step-by-step explanation:
The Fundamental theorem of Algebra states that a polynomial of degree n has n zeros, some may be complex.
A cubic is a polynomial of degree 3 , then has 3 zeros.
From the graph
There is a real zero at x = 4
Thus the other 2 must be complex
An NBA basketball court is rectangular in shape where the length is 2m less than twice the width. If the perimeter of the court is 86m, what are the dimensions (length and width) of the court?
Answer:
Length = 28 m
Width = 15 m
Step-by-step explanation:
Court is rectangular in shape.
Now, we are told that;
Length is 2m less than twice the width(W) .
Thus;
Length; L = 2W - 2
We are told the perimeter is 86 m.
Formula for perimeter of a rectangle is;
P = 2(L + W)
Thus;
2((2W - 2) + W) = 86
Divide both sides by 2 to get;
(2W - 2) + W = 43
3W - 2 = 43
3W = 43 + 2
3W = 45
W = 45/3
W = 15 m
Thus; L = 2(15) - 2
L = 30 - 2
L = 28 m