Answer:
see explanation
Step-by-step explanation:
(1)
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{6}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{4}{6}[/tex] ) ≈ 41.8° ( to the nearest tenth )
(2)
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{29}{14}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{29}{14}[/tex] ) ≈ 64.2° ( to the nearest tenth )
(3)
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{25}{40}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{25}{40}[/tex] ) ≈ 51.3° ( to the nearest tenth )
The value of p (p^2 + p +1) if p =-1
Answer:
The answer is 1
Step-by-step explanation:
p² + p + 1; p = -1
Now, Put p = - 1
p² + p + 1
(-1)² + (-1) + 1
1 - 1 + 1 = 1
Thus, The answer is 1
-TheUnknownScientist 72
Hey there!
p(p^2 + p + 1)
= -1(-1^2 + (-1) + 1)
= -1(-1^2 - 2 + 1)
= -1(-1^2) - 1(-2) - 1(1)
= 1 + 2 - 1
= 3 - 1
= 2
Therefore, your answer should be: 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the equation in vertex form of a parabola with vertex (2, 4) that opens downward and is stretched by a factor of 3?
Answer:
[tex]y=-\frac{1}{3}(x-2)^2+4[/tex]
Step-by-step explanation:
Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex] with the vertex being [tex](h,k)[/tex] and the vertical stretch or shrink factor as [tex]a[/tex].
Therefore, the correct equation is [tex]y=-\frac{1}{3}(x-2)^2+4[/tex]
The equation in vertex form of the downward-opening parabola with vertex (2, 4) that is stretched by a factor of 3.
The vertex form of a downward-opening parabola is given by:
y=a(x-4)²+k
Where (h, k) is the vertex of the parabola.
The vertex is (2, 4), and the parabola is stretched by a factor of 3. The negative sign in front of "a" indicates that the parabola opens downward.
So, we have:
Vertex: (h, k) = (2, 4)
Stretched factor:
a=-3
Now plug these values into the vertex form equation:
y=-3(x-2)²+4
To know more about equation here
https://brainly.com/question/29657983
#SPJ3
SOMEBODY HELP ME
NO LNKS PLZ
Answer: 63
Step-by-step explanation:
[tex]a_4=-1+8^8\\a_4=63[/tex]
Highlighter pens cost $3.86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens
Answer:
P = 3.86n
Step-by-step explanation:
the price will be how many sets you buy multiplied by the price.
Will mark brainliest if you help me pleaseeee
[tex]a(n) = {n}^{2} + 3[/tex]
Answer:
nth term is equal to n²+3
2,826 rounded to the nearest tenth
Answer:
2,826
Step-by-step explanation:
A tenth is the first place value after the decimal point
In this case, 2,826.00
To round a number to the tenths place, we look at the hundredths place
If the number is 5 or more, we add 1 to the tenths place, and leave the numbers to the right 0's
If the number is 4 or less, we keep the number as it is in the tenths place, and leave the numbers to the right 0's
In this case, the hundredths place is a 0, which is less than 4, so we keep the 0 in the tenths place, and leave the to the right 0's.
Thus, our final answer is 2,826.
What would make this conditional a false statement? If you go to the gym for an hour a week, then you will lose at least 10 pounds in a month.
You go to the gym for an hour a week and lose 10 pounds in a month
You go to the gym for an hour a week and lose 17 pounds in a month
You go to the gym for an hour a week and lose 7 pounds in a month
You go to the gym for an hour a week and lose 50 pounds in a month
We must see which thing would make the conditional statement a false statement. We will see that the correct option is:
"You go to the gym for an hour a week and lose 7 pounds in a month"
So we start with the conditional statement:
"If you go to the gym for an hour a week, then you will lose at least 10 pounds in a month"
Remember that the general conditional statement is:
If P, then Q.Where P is the hypothesis and Q is the conclusion.
The conditional statement is false if:
P is true and Q false.
So the given statement is only false if you meet the hypothesis (you go to the gym for an hour a week) but not the conclusion (you lose less than 10 pounds in a month).
With that in mind, the correct option is the third one, the only one where you lose less than 10 pounds in a month.
"You go to the gym for an hour a week and lose 7 pounds in a month"
If you want to learn more about conditional statements, you can read:
https://brainly.com/question/10714086
Question 3
Which table represents a linear function?
Answer:
Top right
Step-by-step explanation:
The change in y must be constant. 11-13 = 2, 11-9 = 2, 9-7 = 2
Order the following numbers from least to greatest:
1/5/100 5% 0.0005 50/100 50 5/1000 500%
Answer:
0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%
Step-by-step explanation:
You can convert all the percentages and fractions into decimals for better comprehension.
0.0005
1/5/100 = 0.002
5/1000 = 0.005
5% = 0.05
50/100 = 0.5
50
500% = 500
Answer:
0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%
Step-by-step explanation:
1) The length of a rectangle is 5 feet more than 3 times its width. If the area is 182
square feet, find the length of the rectangle. If necessary, round to the tenths
place.
Answer:
answer is attached on the photo
Solve the equation below by completing the square. Circle the number that is added to both sides. x2 - 10x = -18
Answer:
x = ±[tex]\sqrt{7}[/tex] - 5
Step-by-step explanation:
x^2 - 10x = -18
x^2 - 10x + 18 = 0
(x + 5)^2 - 5^2 + 18 = 0
(x + 5)^2 - 7 = 0
(x + 5)^2 = 7
[tex]\sqrt{(x + 5)^2}[/tex] [tex]=[/tex] ±[tex]\sqrt{7}[/tex]
x = ±[tex]\sqrt{7}[/tex] - 5
A truck is 2000 kg and has a cargo load of 1000 kg. Its speed is 50 km/h. The momentum for the truck and cargo is
Answer:
The momentum for the truck and cargo is 150000 kg·km/h
Step-by-step explanation:
p = mv
p = (2000 kg + 1000 kg)(50 km/h)
p = (3000 kg)(50 km/h)
p = 150000 kg·km/h
Simplify and write your answer in the form a+bi.
10/1+2i (this is a fraction)
Answers:
A. 10-20i/5
B. 2-4i
C. 1-2i
D. 10+5i
[tex]\dfrac{10}{1+2i}\\\\\\=\dfrac{10(1-2i)}{(1+2i)(1-2i)}\\\\\\=\dfrac{10-20i}{1 - (2i)^2}\\\\\\=\dfrac{10-20i}{1+4}~~~~~;[i^2 =-1]\\\\\\=\dfrac{10-20i}5\\\\=\dfrac{10}5 - \dfrac{20i}5\\\\=2-4i[/tex]
Help help help help
Answer:
C = 18
Step-by-step explanation:
Put the numbers in place of their symbols and do the arithmetic. The diagram is showing you r = 3.
C = 2πr
C = 2(3)(3) . . . . . using 3 for π, as directed
C = 18
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
Here we've been provided with the information given that radius (r) = 3.
And we have to find the circumference (c) of circle. And we have been provided with the formula i.e C = 2πr.
Placing (π = 3) in the above equation,
[tex]:\implies\tt{c = 2\pi r}[/tex]
[tex]:\implies\tt{c = 2 \times 3 \times 3}[/tex]
[tex]:\implies\tt{c = 6 \times 3}[/tex]
[tex]:\implies\tt{c = 18}[/tex]
The circumference of circle is 18cm.Write an expression that represents the perimeter of he rectangle
Answer:
Since the sides across from each other are congruent, you can times them by two
2(4x-6)+2(3x+4)
If ABC is right-angled at B , AB = 3 cm. , BC = 4 cm. , then the length of the median from B is
What is another way to write the calculation add 16 and 25, and then multiply by 47?
Answer:
(16+25)×47
Step-by-step explanation:
..........
hlo do this question plz
out of 9o civil servants 65 were working in the office ,50 were working in the field and 35 were working in both the premises .
a)How many civil servants were absent ?
B)How many civil servants were working in the field only?
Answer:
(a): 10 civil servants who were absent.
(b): 15 civil servants are in field only.
Step-by-step explanation:
Let;
Civil servants in office be oCivil servants in field be f[tex]{ \rm{ \sum(n) = 90}} \\ \\ { \rm{n(o) = 65}} \\ \\ { \rm{n(f) = 50}} \\ \\ { \rm{(o \: { \huge{n}} \: f) = 35}}[/tex]
Question (a):
Let the absentees be x
[tex]{ \rm{x + (65 - 35) + (50 - 35) + 35 = 90}} \\ \\ { \rm{x + 80 = 90}} \\ \\ { \rm{x = 10}}[/tex]
There are 10 absentees.
Question (b):
Servants in field only;
[tex]{ \rm{n(f \: only) = 50 - 35}} \\ \\ { \rm{n(f \: only) = 15 \: servants}}[/tex]
An item is regularly priced at $70. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Amount discounted:?
Answer:
$14 discount$56 discounted priceStep-by-step explanation:
The amount of the discount is ...
20% of $70 = 0.20·$70 = $14 . . . discount
The discounted amount is ...
$70 -14 = $56 . . . discounted price
Write an equation of the line passing through point A(6,-1) that is perpendicular to line y= -2x + 8. what does Y equal? Y=?
Answer:
y = [tex]\frac{1}{2}[/tex] x - 4
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 )
y = - 2x + 8 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (6, - 1 ) into the partial equation
- 1 = 3 + c ⇒ c = - 1 - 3 = - 4
y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line
HOPE I MADE YOU SMILE!!
Answer:
ok points
Step-by-step explanation:
Answer:
Thank You so much.....You made me smile lol :DHow do you work x+1-2=4 and x-1=2
Answer:
Simplify x+1-2x+1−2 to x-1x−1.
x-1=4
x−1=4
2 Add 11 to both sides.
x=4+1
x=4+1
3 Simplify 4+14+1 to 55.
x=5
x=5
Add 11 to both sides.
x=2+1
x=2+1
2 Simplify 2+12+1 to 33.
x=3
x=3
Which of the following is NOT on a credit report?
B. Does x = 5 satisfy the equation above. Explain?
C. is x =1/2 a solution of the equation above? Explain?
Answer:
B
Step-by-step explanation:
3(x +1) =3x +3
Plug it in
3(5+1)=3(5)+3
3(6)=15+3
18=18
A new bank customer with $4,000 wants to open a money market account. The bank is offering a simple interest rate of1.4 %. how much will the customer earn in 10 years
Answer: they would earn $560
Step-by-step explanation:
10% = 400
1% = 40
0.1% = 4
40+16 = 56*10=560
If you could be so kind to press brainliest on this answer
Someone plz help ToT
The scale factor is 1.5 because:
9 x 1.5 = 13.5
5 x 1.5 = 7.5
Please help me on this math problem
Answer:
A
Step-by-step explanation:
Benjie's line is a better fit because it has a lower value of least square residual, which measures how far on average each point is from the line.
Can someone please help me with this question
m11=54°
m8=117°
m7=63°
Step-by-step explanation:
a) m2=m12 (corresponding angles)
m12=126°
180=m12+m11 (supplementary angles equal 180)
180=126+m11
m11=54°
b) m14=m8. (corresponding angles)
m8=117°
C) m7=180-m8 (supplementary angles equal 180)
m7=180-117
m7=63°
This recipe makes 6 pancakes. Sanjay follows the recipe but wants to make 30 pancakes. How much of each ingredient does he need? Recipe: Makes 6 135 g flour 1 teaspoon (tsp) baking powder 2 tablespoons (tbsps) sugar 130 ml milk 1 egg 2 tablespoons (tbsps) oil
Answer:
30 pancakes/6 pancakes = 5, so Sanjay needs to multiply the recipe by 5 (make batches of 6 pancakes 5 times for 30 pancakes in total)
flour: 135g*5=675g
baking powder: 1 tsp*5=5 teaspoons
sugar: 2 tbsps*5=10 tablespoons
milk: 130ml*5=650ml
eggs: 1 egg*5=5 eggs
oil: 2 tbsps*5=10 tablespoons
Solve the equation 2 sec² x = 3 - tan x for the domain 0° ≤ x ≤ 360°
[tex]2 \sec^2 x = 3- \tan x \\\\\implies 2(1 +\tan^2 x) = 3- \tan x \\\\\implies 2 + 2 \tan^2 x +\tan x -3 =0\\\\\implies 2 \tan^2 x + \tan x -1 =0\\\\\implies 2u^2 + u -1 =0~~~ ;[\text{set} \tan x = u]\\\\\implies u = \dfrac{-1\pm \sqrt{1-4\cdot 2 \cdot (-1)}}{2(2)}\\\\\implies u =\dfrac{-1 \pm\sqrt{9}}{4}\\\\\implies u = \dfrac{-1 \pm 3}{4}\\\\\implies u = \dfrac{2}{4}=\dfrac 12~~ \text{or} ~~u =\dfrac{-4}{4} =-1\\\\[/tex]
[tex]\implies \tan x = \dfrac 12 ~~ \text{or} ~~ \tan x =-1~~~ ;[\text{Substitute back u =tan x}]\\\\\text{Now,}~ \\\\\tan x = -1,\\\\\implies x = n\pi - \dfrac{\pi}4\\\\\\\text{For interval,}~ [0,2\pi) \\\\x = \dfrac{3\pi}4, \dfrac{7\pi}4\\\\\text{In degrees,}~ x = 135^{\circ}, x =315^{\circ}\\\\\tan x = \dfrac 12\\\\\implies x = n\pi + \tan^{-1} \left(\dfrac 12 \right)\\\\\text{For interval} ~[0,2\pi),\\\\[/tex]
[tex]x=\tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\text{in degrees,} ~~x=\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\\\\text{Combine all solutions:}\\\\x=\dfrac{3\pi}4, \dfrac{7\pi}4, \tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\[/tex]
[tex]\text{In degrees,}~ x = 135^{\circ},~315^{\circ},~\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right][/tex]