Answer:
o really sis/bro hsgsmhsndjd
In a right triangle, Sin (4x + 10) º = Cos (6x) º. What is the value of x?
Answer:
x = 8
Step-by-step explanation:
According to trigonometry identity
sin x = Cos (90-x)
Hence if we have;
Sin (4x + 10) º = Cos (6x)
Sin (4x + 10) º = Sin(90- 6x)
4x + 10 = 90 - 6x
4x+6x = 90 - 10
10x = 80
x = 80/10
x = 8
Hence the value of x is 8
Analyze the diagram below and complete the instructions that follow. find tan
A number increace by a 5 is 12
Answer:
[tex]n + 5 = 12[/tex]
Step-by-step explanation:
"A number increased by a 5 is 12".
The value of n.
[tex]n + 5 = 12[/tex]
[tex]n = 12-5[/tex]
[tex]n = 7[/tex]
Hope it is helpful....Answer:
7
Step-by-step explanation:
subtract the sum, in this case 12. by 5 to get the answer. 12-5=7
If 2 to the power of x is 1/32. Find the value of x...
Step-by-step explanation:
2 to the power x =1/32
2 to the power x =1/2 to the power 5
2 to the power x = 2 to the power -5
then,
x = -5
Please help me find all the answers.
Answer:
g = 10
Step-by-step explanation:
First, let's find the missing value of the 'C'
180 - 110 = 70 degrees
Now that we have the answer for one side, we can make an equation:
2g + 9g + 70 = 180 (area of a triangle is 180 degrees)
11g + 70 = 180
11g = 180 - 70
11g = 110
g = 110 / 11
g = 10
The value of g is 10 so we can now add them to the expression:
2g = 2(10) = 20
9g = 9(10) = 90
To make sure that you have the correct answer, add the values so that you get an answer as 180:
70 + 20 + 90 = 180
hope this helps....
From the given figure, We can notice that :
∠BCA + 110° = 180° (Because they make a Linear Pair)
⇒ ∠BCA = 180° - 110°
⇒ ∠BCA = 70°
We know that : Sum of the Angles in a Triangle should be equal to 180°
⇒ 2g° + 9g° + ∠BCA = 180°
⇒ 11g° + 70° = 180°
⇒ 11g° = 180° - 70°
⇒ 11g° = 110°
⇒ g° = 10°
⇒ 9g° = (9 × 10) = 90°
⇒ 2g° = (2 × 10) = 20°
haven't had luck with this question in the past and I need help.
Answer:
pi
Step-by-step explanation:
First find the area of a full circle with radius 2
A = pi r^2
A = pi 2^2
A = 4 pi
We know that this is 1/4 of a circle so take 1/4 of the area
1/4 A = 1/4 (4 pi) = pi
find a unknown length of the sides
Answer:
[tex]a = 3\sqrt{7}[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine (a)
To do this, we make use of Pythagoras theorem.
[tex]12^2 = a^2 + 9^2[/tex]
[tex]144 = a^2 + 81[/tex]
Collect like terms
[tex]a^2 = 144 -81[/tex]
[tex]a^2 = 63[/tex]
Take square roots
[tex]a = \sqrt{63}[/tex]
Expand
[tex]a = \sqrt{9*7}[/tex]
Split
[tex]a = \sqrt{9}*\sqrt{7}[/tex]
[tex]a = 3\sqrt{7}[/tex]
What is the slope of the line
Step-by-step explanation:
(1, -3). (3, 0)
(0 + 3)/(3 - 1) = 3/2 is the slope
Use the following situation to answer the questions that follow: A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32t + 6.
When is the ball at it's maximum height? Round to the nearest hundredth if needed.
Answer:
22 feet
Step-by-step explanation:
When graphing the equation, the peak or the maximum of the equation is reached the 1st second of the throw and it reaches 22 feet.
Determine the center and the diameter of the circle with the equation. x^2-6x+y^2+8y=24
Answer:
The center of the circle is (3, -4)
The diameter of the circle is 2
Step-by-step explanation:
The given equation of the circle is x² - 6·x + y² + 8·y = 24
The general form of the equation of a circle is x² + y² + 2·g·x + 2·f·y + c = 0
The center of the circle = (-g, -f)
The radius of the circle = √(g² + f² - c)
By comparing the given equation of the circle with the general form of the equation of a circle, we have;
2·g = -6, 2·f = 8, and c = 24
From 2·g = -6, we get;
∴ g = -6/2 = -3
g = -3
from 2·f = 8, we get;
∴ f = 8/2 = 4
f = 4
Therefore;
The center of the circle, (-g, -f) = (-(-3), -4) = (3, -4)
The center of the circle = (3, -4)
The radius of the circle, r = √(g² + f² - c) = √((-3)² + 4² - 24) = 1
The diameter of the circle, d = 2×r = 2 × 1 = 2
The diameter of the circle = 2.
Write the equation for a parabola with a focus at (-4,-2) and a directrix at y = 3.
Answer:
[tex]\displaystyle y=-\frac{1}{10}x^2-\frac{4}{5}x-\frac{11}{10}[/tex]
Step-by-step explanation:
By definition, any point (x, y) on the parabola is equidistant from the focus and the directrix.
The distance between a point (x, y) on the parabola and the focus can be described using the distance formula:
[tex]d=\sqrt{(x-(-4))^2+(y-(-2))^2[/tex]
Simplify:
[tex]d=\sqrt{(x+4)^2+(y+2)^2}[/tex]
Since the directrix is an equation of y, we will use the y-coordinate. The vertical distance between a point (x, y) on the parabola and the directrix can be described using absolute value:
[tex]d=|y-3|\text{ or } |3-y|[/tex]
The two equations are equivalent. Therefore:
[tex]\sqrt{(x+4)^2+(y+2)^2}=|y-3|[/tex]
Solve for y. We can square both sides. Since anything squared is positive, we can remove the absolute value:
[tex](x+4)^2+(y+2)^2 = (y-3)^2[/tex]
Expand:
[tex](x^2+8x+16)+(y^2+4y+4)=(y^2-6y+9)[/tex]
Isolate:
[tex]x^2+8x+11=-10y[/tex]
Divide both sides by -10. Hence, our equation is:
[tex]\displaystyle y=-\frac{1}{10}x^2-\frac{4}{5}x-\frac{11}{10}[/tex]
31. The volume in a water drum is halved every 2 days of a drought. If the volume of water
in the drum was initially 1,000,000 gallons, what was the approximate volume after 10
days?
Answer:
30'000 gallons approx
Step-by-step explanation:
day 2 - 500,000 gallons
day 4 - 250,000 gallons
day 6 - 125,000 gallons
day 8 - 62,500 gallons
day 10 - 31,250 gallons
answer?? please answer
Answer:
The y-value of Function A when x = 2 is GREATER than the y-value of Function B when x = 2
Step-by-step explanation:
✔️Find the equation of Function A:
To do this, find the y-intercept (b) and slope (m):
Slope (m) = change in y/change in x
Using (4, 13) and (5, 17),
Slope (m) = (17 - 13)/(5 - 4) = 4/1
m = 4
To find b, substitute (x, y) = (4, 13) and m = 4 into y = mx + b
13 = 4(4) + b
13 = 16 + b
13 - 16 = b
b = -3
To write the equation for Function A, substitute m = 4 and b = -3 into y = mx + b
Thus:
y = 4x - 3
Next, find the y-value of Function A when x = 2 by substituting x = 2 into y = 4x - 3
Thus:
y = 4(2) - 3
y = 8 - 3
y = 5
✅The y-value of Function A when x = 2 is 5
✔️Equation for Function B is given as,
y = ½x + 1
Find the y-value of Function B when x = 2 by substituting x = 2 into y = ½x + 1
Thus:
y = ½(2) + 1
y = 1 + 1
y = 2
✅The y-value of Function B when x = 2 is 2
Therefore, the correct statement is:
The y-value of Function A when x = 2 is greater than the y-value of Function B when x = 2
Kaylee and her children went into a movie theater and will buy drinks and candies.
She must buy no less than 15 drinks and candies altogether. Write an inequality that
would represent the possible values for the number of drinks purchased, d, and the
number of candies purchased, c.
Answer:
c+d>15
Step-by-step explanation:
Usually there's more to the question.. the inequality doesn't look too right, but it could be.
Answer:
c+d>15
Step-by-step explanation:
Is this a function?
{(2, 9),(5, 8),(19, 9)}
Answer:
Yes
Step-by-step explanation:
As long as no x values repeat it is considered a function
In the given set no x values repeat therefore it is a function
Answer:
Yes.
Step-by-step explanation:
Each input has exactly one output. Therefore, this is indeed a function.
Analyze the diagram below and complete the instructions that follow.
Find the exact value of sin(O)
=====================================================
Explanation:
Use the pythagorean theorem
a^2+b^2 = c^2
to find that c = 13 when a = 12 and b = 5.
So that makes the hypotenuse MO = 13 units long.
The opposite side is MN = 12 units long as this side is furthest we can get from angle O.
The sine ratio involves opposite over hypotenuse
sin(angle) = opposite/hypotenuse
sin(O) = MN/MO
sin(O) = 12/13
Answer:
C. 12/13
Step-by-step explanation:
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
c = 13
------------
sin = opp/hyp
sinO = 12/13
Help plssss I’m trying to finish this diagnostics test
Answer: 5 Seconds
Step-by-step explanation: Given the equation of the height expressed ad;
h(t) = - 16t^2 + initial height
Given that initial height = 400feet
h(t) = - 16t^2 + 400
The waste will hit the ground at when h(t) = 0
substitute
0 = - 16t^2 + 400
16t^2 = 400
t² = 400/16
t² = 25
t = √25
t = 5secs
Find the perimeter of the window to the nearest hundredth perimeter: about ft
Answer:
I would answer but I have no numbers to give the answer
A messenger has 6 pouches and 30 coins. The total must be less than 102 coins
How would you write this inequality? What are some solutions?
Answer:
6x+30<102
0 ≤ x ≤ 12 gives all possible solutions for this problem.
Answer:
Your total would be 180 so with the extra you could donate or something like that
Step-by-step explanation:
I hope this helped:)
the money used in south Africa is is called the rand . the estrange rate 7 rand for $1. Find how many dollars you would receive if you estrange 21 rand.
view what's attached
Step-by-step explanation:
when numbers are negative, the bigger the number looks the smaller it is therefore
-6 is smaller than -5
but 6 is bigger than 5
however, the numbers are;
-5.99, -3, -6, -5.9, -1, -5.999, -5 ,2
Round to the nearest cent or whole number as needed. How many males had fatal car accidents last year if there were 1761 fatal car accidents and about 42% of the fatalities were male?
Answer:
740
Step-by-step explanation:
42% of 1761 = 0.42 * 1761 = 739.62
Answer: 740
Simplify (6x^2 − 8x) ÷ (2x) step by step
a. 2x − 3
b. 2x + 3
c. 3x − 4
d. 3x − 8
Answer:
3x - 4
Step-by-step explanation:
(6x^2 − 8x) ÷ (2x) =
(6x^2)/2x - 8x/2x =
3x - 4
Answer:
(C). 3x - 4
Step-by-step explanation:
It will be easily to break this down so,
6/2=3
x^2/x=x
therefore, 6x^2/2x = 3x
Minus stay minus
8/2 = 4
x/x=1
therefore, 8x/2x=4
If we put it all together,
3x - 4
if this helps you, please give brainliest!
53% of 80
? What is the percentage?
Answer:
42.4
Hope that this helps!
Answer: 66.25%
Step-by-step explanation:
53/80 x 100= 66.25%
Can any help me 10 points!!!!!! Its to pass math
Answer:
Option 4
Step-by-step explanation:
3x(x+2)-4(x+2)
(3x-4)(x+2)
3x²+6x-4x-8
3x²+2x-8
Brainliest please
Answer:
(x + 2)(3x - 4)
3x^2 + 2x - 8
Step-by-step explanation:
Factor out x + 2.
You get: (x + 2)(3x - 4)
Now multiply it out:
(x + 2)(3x - 4) = 3x^2 - 4x + 6x - 8 = 3x^2 + 2x - 8
plot triangle ABC with coordinates A(-4,5),B(-1,5),C(-1,1)
Answer:
:D
Step-by-step explanation:
Someone please help me with this lol… have no idea what I’m doing
Given:
[tex]\cos \theta =\dfrac{3}{5}[/tex]
[tex]\sin \theta <0[/tex]
To find:
The quadrant of the terminal side of [tex]\theta[/tex] and find the value of [tex]\sin\theta[/tex].
Solution:
We know that,
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II: Only sin and cosec are positive.
In Quadrant III: Only tan and cot are positive.
In Quadrant IV: Only cos and sec are positive.
It is given that,
[tex]\cos \theta =\dfrac{3}{5}[/tex]
[tex]\sin \theta <0[/tex]
Here cos is positive and sine is negative. So, [tex]\theta [/tex] must be lies in Quadrant IV.
We know that,
[tex]\sin^2\theta +\cos^2\theta =1[/tex]
[tex]\sin^2\theta=1-\cos^2\theta[/tex]
[tex]\sin \theta=\pm \sqrt{1-\cos^2\theta}[/tex]
It is only negative because [tex]\theta [/tex] lies in Quadrant IV. So,
[tex]\sin \theta=-\sqrt{1-\cos^2\theta}[/tex]
After substituting [tex]\cos \theta =\dfrac{3}{5}[/tex], we get
[tex]\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}[/tex]
[tex]\sin \theta=-\sqrt{1-\dfrac{9}{25}}[/tex]
[tex]\sin \theta=-\sqrt{\dfrac{25-9}{25}}[/tex]
[tex]\sin \theta=-\sqrt{\dfrac{16}{25}}[/tex]
[tex]\sin \theta=-\dfrac{4}{5}[/tex]
Therefore, the correct option is B.
URGENT PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!!!!!!!!
Slope is 0.75 or 3/4 I believe!
20 BRLAIFAST
NELS
PURCHASE
BAUNE OF
CUT CARD IN
COUPS
50
Jimmy was given a gift card to
his favorite breakfast restaurant.
What equation represents the
balance of the gift card in
dollars, y, when x amount of
breakfast meals are purchased?
35
20
6
5
Describe each transformation that must be applied to f(x)=x² to get the function g(x)=1/2(x+2)² (30 POINTS)
Answer:
translate 2 units to the left and compress by 1/2 in the y direction
Step-by-step explanation:
f(x)=x²
y = f(x + C) C > 0 moves it left
We add 2 to move it 2 units to the left
h(x) = (x+2)^2
y = Cf(x) 0 < C < 1 compresses it in the y direction
g(x) = 1/2 (x+2)^2
