[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}+1=0[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}=-1[/tex]
[tex]\\ \rm\Rrightarrow 3tan(2x+10)=1[/tex]
[tex]\\ \rm\Rrightarrow tan(2x+10)=1/3[/tex]
1/3=0.33..tan^{-1}(0.33)≈18[tex]\\ \rm\Rrightarrow 2x+10=18[/tex]
[tex]\\ \rm\Rrightarrow 2x=8[/tex]
[tex]\\ \rm\Rrightarrow x=4[/tex]
Find the surface area of this figure.
Step-by-step explanation:
6x3 (3 is because it's half of 6) =18 to find the area of I triangle, I now divide it by 2. 18÷2=9. there are 8 separate triangles so 9x8=72. now the square. 6x6=36. now add 72 + 36=108 in.
How to find the complement of a 58 degree angle
Answer:
32°
Step-by-step explanation:
Complementary angles sum to 90°
the complement of 58° is
90° - 58° = 32°
Complementary angles add up to [tex]\sf{90^\circ}[/tex].
In order to find the complement of the given angle, we should set up the following equation:-
(let n be the unknown angle)
[tex]\sf{n+58=90}[/tex]
Subtract 58 from both sides:-
[tex]\bigstar{\boxed{\pmb{n=32}}[/tex]
Hence, the complement of the angle is 32 degrees.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
F(X)=2(X-1)^2-4 in standard form
Answer:
[tex]f(x)=2x^2-4x-2[/tex]
Step-by-step explanation:
Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]
[tex]\begin{aligned}f(x) & =2(x-1)^2-4\\& =2(x^2-2x+1)-4\\& = 2x^2-4x+2-4\\& = 2x^2-4x-2 \end{aligned}[/tex]
The sum of the roots of x² + 6x - 55 = 0 is:
A. 6
B. -6
C. -55
Answer:
B
Step-by-step explanation:
the sum of the roots = - [tex]\frac{b}{a}[/tex]
x² + 6x - 55 = 0
with a = 1 , b = 6 , then
sum of roots = - [tex]\frac{6}{1}[/tex] = - 6
PSSA pleas
neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed yall help im black
Find the area of each figure.
20 points
Answer:
purple shape= 1824 inches squared
For the green rhombus:
Answer: 3 ft^2
Explanation:
you can add a line HA to split the rhombus into two triangles
Area of each triangle
= (2 x 1.5) / 2
= 1.5 ft^2
As there are two triangles, so you can just add 1.5 and 1.5 ft^2 together, and the ans is 3 ft^2
33.
The number of people who voted for the Green Party in an election was 1500.
The number of people who voted for the Blue Party was 9000.
Write the ratio of Green Party voters to Blue Party voters in the form 1:n
Answer:
1:6
Step-by-step explanation:
=> 1500/9000
=> 1/6 [ the hcf is 1500]
=> 1:6
solve for the variables x and y
Answer:
Step-by-step explanation:
Find the length of the arc intercepted on the unit circle by the following central angle. 0=5π
A. 5π
B. 5/2π
C. 4π
D. 10π
well, since arc's length is s = rθ where θ is in radians, and in the Unit Circle r = 1 and we also know that θ = 5π radians, then
s = (1)(5π)
s = 5π.
What is the price per foot.
Step-by-step explanation:
oh, come on ! you really cannot figure that one out ?
as there are 3 ft in 1 yd, 6 yd are then 6×3 = 18 ft.
so, 18 ft cost $2.88
1 ft costs then 2.88/18 = $0.16
What is BC?
Enter your answer in the box.
Answer:
BC = 25
Step-by-step explanation:
I'm gonna assume that the triangle is an isosceles triangles, so sorry if this doesn't help!
4x + 1 = 2x + 23
2x + 1 = 23
2x = 22
x = 11
3(11) - 8
33 - 8
= 25
the equation A = bh is used to calculate the area, A , of a parallelogram with base, b , and height, h . Calculate the area of a parallelogram with a base of 15 inches and a height of 9 inches
Answer:
135
Step-by-step explanation:
A = bh
A = 15 x 9
A = 135
Answer correctly with good explanation. Please and thank you
Answer:
The cost is $352.80
Step-by-step explanation:
step 1. 14 * 12 = 168 ----> find out the area (base times height)
step 2. 168 * 2.10 = 352.80 -----> multiply the area with the cost of per square foot of the carpet
I hope this helped :))
5. Cole worked for a concrete company last weekend. On Saturday, his gross income was $350
and his net income was $307.05. On Sunday, his gross income was $280 and his net income
was $246.35. What amount did Cole pay in payroll tax last weekend?
Please answer number 14. It would mean so much to me.
Answer:
100.1 ftStep-by-step explanation:
You have dimensions of the original and scaled figures.
The missing dimension can be found using proportions as below
52.8 in ⇒ 57.2 ft (width)92.4 in ⇒ x ft (height)52.8/57.2 = 92.4/xx = 92.4*57.2/52.8x = 100.1 ft{3x+y=2
{6x +2y=4
i think it’s system of equations
Answer:
Infinitely many solutions.
Step-by-step explanation:
[tex]3x+y=2[/tex]
[tex]6x+2y=4[/tex]
[tex]6x+2(2-3x)=4[/tex]
[tex]6x+4-6x=4[/tex]
[tex]6x-6x=4-4[/tex]
[tex]0=0[/tex]
Since the two equations are the same, the system of equations has infinitely many solutions.
What is the measure of the unknown angle?
A 64°
B 76°
C 83°
D 87°
Answer:
D, 87 is the answer
Step-by-step explanation:
360 is a full circle so subtract 360 to 273 and its 87 hope this helps! :)
Answer:
d
Step-by-step explanation:
Green had d dollars. He spent $821 on a new TV. Now he has $121 left. How much money did he have before he bought a TV?
Cindy invested $2,800. The function V(t) = 2,800(1.025)t models the value of Cindy’s investment after y months. The function S(t) = 10t models the amount of money that Cindy has saved in a safe at her house after t months. Which function C(t) models the combined value of the investment and money in the safe?
A. C(t) =2,800(1.025)t + 10t
B. C(t) = 2,800(1.025)11t
C. C(t) =(2,800 + 10t)(1.025)t
D. C(t) =2,810(1.025)t
Answer:
Option AStep-by-step explanation:
The amounts invested and saved are independent and their total is the combined amount.
[tex]C(t) = V(t) + S(t)[/tex][tex]C(t) = 2,800(1.025)^t + 10t[/tex]Correct choice is A
Lets see
V(t)=2800(1.025)^tS(t)=10tAdd both
C(t)=S(t)+V(t)C(t)=2800(1.025)^t+10tAndrea went strawberry picking. She picked 245 strawberries. Julio went with her and picked
x fewer than she did. Write an expression that shows the number of strawberries that Julio
picked?
Answer:
245-x
Step-by-step explanation:
Since x is the anount fewer than the mount Andrea picked, to get Julio's amount you would subtract x from 245.
7) Max was browsing Amazon on his phone and decided to purchase the newest Adidas shoes. He bought
them for $280. Unfortunately, a newer version was released a week later and his shoes began depreciating
in value rapidly. Every week the value of the shoes decreases by 8%, how much will the shoes be worth
in 2 months (8 weeks)?
Answer:
$100.8
Step-by-step explanation:
Find the surface area of this figure.
Answer:
57 inches^2 is the answer buddy
Step-by-step explanation:
BxH divided by 2
Pythagorean theorem. Show your work!
Please help in really stuck!!
Answer:
[tex]\sqrt{81}[/tex] = 9 :)
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2 = c^2.
In this case, a = 12, c = 15, and we do not know the value of "b."
Let's solve by plugging the values in!
12^2 + b^2 = 15^2
144 + b^2 = 225
Subtract 144 on both sides:
b^2 = 81
b = sqrt 81
b = 9
is zero a rational number? can you write it the form of p/q where p and q are integers and q≠0
Answer:
yes, we can write zero in the form of p/q.
[example] that is 0/3, 0/5...
4. A plumber charges $65 per hour to fix a leak. What is an equation that relates the total cost of a leak repair c to the number of hours, h, it takes the
plumber to fix the leak? Show work
Answer:
c = 65h.
Step-by-step explanation:
cost = rate per hour * hours worked:
c = 65 * h .
NEED HELPPPP!!!!!!!!!
Answer:
i think d but i don't know for sure
Snow Crest is 11,920.21 feet higher than Mt. Wilson. Write and solve an equation to find the elevation of Mt. Wilson. Let x represent the elevation of Mt. Wilson. can you please help me?
Thank you
Answer:
685
Step-by-step explanation:
so if you have $86 and if that cost up to $1 and that would equals 685
A bag contains 7 marbles 3 red 2 blue 2 green what is the probability of picking a green marble. answer as a percent
Answer:
28.57%
Step-by-step explanation:
to find the probability of something being picked you divide the amount of what your trying to get (2) by the total amount of what's in it (7).
2÷7=.2857
to turn it into a percentage we move the decimal point 2 to the right
28.57
can you please tell me which one it is and why. thank you
Answer
its A the answer is on quizzes
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
rational numbers do not have unending numbers trailing it
ex: 1, 1/4 13/2
irrational numbers do not end
(pi, square root of 2)
Two customers took out car loans from a bank. marcus took out a 5-year loan for $10,000 and paid 4.7% annual simple interest. gianna took out a 6-year loan for $10,000 and paid 4.5% annual simple interest. what is the difference between the amounts of interest marcus and gianna paid for their car loans? question 2 options: $500 $400 $450 $350
