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 )
How 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
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
HOPE I MADE YOU SMILE!!
Answer:
ok points
Step-by-step explanation:
Answer:
Thank You so much.....You made me smile lol :DWrite 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)
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
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
If ABC is right-angled at B , AB = 3 cm. , BC = 4 cm. , then the length of the median from B is
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.
SOMEBODY HELP ME
NO LNKS PLZ
Answer: 63
Step-by-step explanation:
[tex]a_4=-1+8^8\\a_4=63[/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
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°
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.
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
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:
Which of the following is NOT on a credit report?
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
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:
..........
Someone plz help ToT
The scale factor is 1.5 because:
9 x 1.5 = 13.5
5 x 1.5 = 7.5
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.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
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
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]
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
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.
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]
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:)
Will mark brainliest if you help me pleaseeee
[tex]a(n) = {n}^{2} + 3[/tex]
Answer:
nth term is equal to n²+3
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
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]
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