Answer:
144
Step-by-step explanation:
First subtract 180 from 20% of 180.
180 - (20/100 x 180) = 180-36 = 144
how do i solve for y? what’s the answer?
Answer:
Hello!
A parallel line must equal 180 degrees. Thus, 6y plus 120 degrees must equal 180. First, subtract 120 from 180. This gives us 60. To find y, we divide 60 by 60. This gives us 10. So, our answer is y=10. This means that y is being multiplied 6 times to equal 60.
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Have a great day!
The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rectangle.
Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70 [tex]m^{2}[/tex]
From there
x * (2x - 4) = 70
[tex]2x^{2}[/tex] - 4x = 70
[tex]2x^{2}[/tex] - 4x - 70 = 0
[tex]x^{2}[/tex] - 2x - 35 = 0
Now we have a quadratic equation, which is a[tex]x^{2}[/tex] + bx + c = 0, where a [tex]\neq[/tex] 0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D = [tex]-2^{2}[/tex] - 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are [tex]\frac{- b - \sqrt{D} }{2a}[/tex] and [tex]\frac{- b + \sqrt{D} }{2a}[/tex]
[tex]x_{1}[/tex] = [tex]\frac{- (-2) - \sqrt{144} }{2}[/tex] = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
[tex]x_{2}[/tex] = [tex]\frac{- (-2) + \sqrt{144} }{2}[/tex] = 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)
90% of e is 30. What is e?
Answer:
27
Step-by-step explanation:
Answer:
e = 33.3 (approx. )Step-by-step explanation:
To find out - 'e'
Given,
90 % of e = 30
[tex] = > \frac{90}{100} \times e = 30[/tex]
[tex] = > e = 30 \times \frac{100}{90} [/tex]
[tex] = > e = \frac{100}{3} [/tex]
=> e = 33.3333......
=> e = 33.3 (approx. ) (Ans)
If f(x) = x + 1, and g(x) = 2x,
then
gf(x)) = ?
Answer:
Step-by-step explanation:
If f(x)=x+1 and g(x)=2x then
g(f(x))=2(x+1)
g(f(x))=2x+2
−4p+9=−5
Plzzzzzzz help
Answer:
p = 3.5 or p = 7/2
Step-by-step explanation:
-4p+9= -5
or, -4p = - 14
or, p = -14/-4
or, p = 7/2 = 3.5
Answer:
p = 3.5
Step-by-step explanation:
What you would do to get p is subtract 5 from both sides of the equation to leave the number and p, THEN divide both sides by the numerator of -4.
-4p + 9 = -5
- 9 -9
__________
-4p = -14
__ __
-4 -4
Thus, p = 3.5
Student A's scores have a standard deviation of 5.4 and Student B's scores have a standard deviation of 10.6. What does Student B's higher standard deviation mean of his/her test scores?
Answer:
Student B's score has a greater variation from the mean than student A's score
Step-by-step explanation:
Student A : standard deviation = 5.4
Student B : standard deviation = 10.6
The standard deviation is used to measure the degree of variability of a measured value from the mean or average value of the set. The higher the value of standard deviation, the greater the variabilityabiut the mean. Hence for the question given above, Student B's score varies greatly from the mean Than student A's score.
need help on number 25!
Answer:
30000
Step-by-step explanation:
when dividing the powers, you subtract them.
Simplify (2/3 + 1/6).
Write the sum in the simplest form.
is the answer 84.2??? if not pls explain THANK U ITS GEOMETRY
Help me solve this please!!
Answer:
The answer is
[tex]a = 9 \sqrt{3} \: and \: b = 9[/tex]
Answer:
B
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{18}[/tex] ( multiply both sides by 18 )
18 × sin60° = a , then
a = 18 × [tex]\frac{\sqrt{3} }{2}[/tex] = 9[tex]\sqrt{3}[/tex]
-------------------------------
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{18}[/tex] ( multiply both sides by 18 )
18 × cos60° = b , then
b = 18 × [tex]\frac{1}{2}[/tex] = 9
Which angles in the picture are NOT supplementary?
2 and 3; 1 and 4
1 and 2; 2 and 3
1 and 3; 2 and 4
4 and 1; 3 and 4
Answer:
1 and 3; 2 and 4
Step-by-step explanation:
Supplementary angles add up to 180 degrees, which is a straight line.
we can see that angles 2 and 3 make the / line, as do 1 and 4
1 and 2 make up the \ line, while, as mentioned above, 2 and 3 make /
4 and 1 is the same as 1 and 4 so they still create / and angles 3 and 4 make the \
Divide. Express your answer in simplest form.
11/12 ÷ 3/4=
Answer:
11/9
hope this helped :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
11 / 12 = 0,91 and a periodic 6
3 / 4 = 0,75
11 / 12 = 3 / 4 = 0,916 ÷ 0,75
What is the sum of the first eight terms of the geometric series 2 + 6 + 18 + 54+ ...? 510 3,280 6,560 4,374
Answer:
6,560
Step-by-step explanation:
Answer:
6,560
Step-by-step explanation:
We are given the first four terms of the sequence:
2, 6, 18, 54, ...
We need to find another four terms to find the sum.
I don't know how to explain how I got the pattern but you have to multiply by 3:
2 * 3 = 6
6 * 3 = 18
18 * 3 = 54
To find the next term, we will multiply 54 by 3:
54 * 3 = 162
2, 6, 18, 54, 162, ...
We now have 5 terms.
Next, multiply 162 by 3:
162 * 3 = 486
2, 6, 18, 54, 162, 486, ...
We now have 6 terms.
Next, multiply 486 by 3:
486 * 3 = 1458
2, 6, 18, 54, 162, 486, 1458, ...
We now have 7 terms.
Lastly, multiply 1458 by 3:
1458 * 3 = 4374
2, 6, 18, 54, 162, 486, 1458, 4374, ...
We now have the first 8 terms.
Now, we add all these numbers together:
2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 = 6560
The sum of the first eight terms of the geometric sequence is 6,560
The question is 3(2x +4) = 6x + 10
Answer:
no solution
Step-by-step explanation:
when you distribute, the 6x on each side cancel out leaving there to be no solution to the problem. I attached a photo of my work as well.
Answer:
The answer is False meaning it's no solution
Step-by-step explanation:
1. Distribute 3 through the parentheses which will be 6x+12=6x+10
2.Cancel equal terms on both sides of the equation and you will get 12=10 which isn't a true statement.
what are the different methods in finding the LCM
Answer:
4 methods are there
Step-by-step explanation:
Find the prime factorization of each number.Write each number as a product of primes, matching primes vertically when possible.Bring down the primes in each column.Multiply the factors to get the LCM.please mark me as brainlist
Question 12
If a car tries to stop on ice, the distance the car slides can be modeled by the equation s= 50d + 25 where s stands
for speed in mph and d stands for distance in feet. What distance will you slide if your car is traveling at a speed of
55 mph?
[tex]s = 50d + 25[/tex]
[tex]55 = 50d + 25[/tex]
[tex]55 - 25 = 50d + 25 - 25[/tex]
[tex]30 = 50d[/tex]
[tex] \frac{30}{50} = \frac{50d}{50} [/tex]
[tex]0.6 = d[/tex]
Your car would slide a distance of 0.6 feet.
-30-0.6k
what does k equal?
Answer:
K would equal to:
K= 50
Hope that helps! :)
Step-by-step explanation:
HELP AND WILL GIVE BRAINLIEST!!! Solve for x for the image below
Answer:
umm x=30
Step-by-step explanation:
Answer:
x=22
Step-by-step explanation:
All angles in a triangle add up to 180 degree.
180-(6x-7) = the supplementary angle inside the upper left corner.
180-(6x-7)+2x+(103-x) = 180
180-6x+7+2x+103-x = 180
reduce
-5x = -110
-5x/-5 = -110/-5
x=22
you can check by using the values of x
With explanation please help
Answer:
first you simplify the first part which will be
(15)^2-(18+9)*(6)
225-27*6
225-162
Answer will be 63
I showed my work :)
Please help due today
I need to know what the answer to this problem is the right answer 4/8
0.86 write the decimal as a fraction in simplest form
Answer:
43/50
Step-by-step explanation:
should be right.
Answer:
43/50
Step-by-step explanation:
86/100 divided by 2
Find the length of side a.
10
A
6
A. 4
B. 64
C. V 136
D. 8
PREVIOUS
Answer:
D .8
Step-by-step explanation:
hypotenuse (h) = 10
base (b) = 6
perpendicular (p) = a= ?
We know by using Pythagoras theorem we get
p = √ h² - b²
a = √ 10² - 6²
a = √ 64
a = 8
Hope it will help :)
Please help. Mathematics.
Please help!!! I'll give brainliest, if you help U_U
Tysm for the help xD
Answer:
x is 122
Step-by-step explanation:
how do you do trigonometric Ratios
what is 26.02-5.348=??????
Answer:
20.672
Step-by-step explanation:
26.02 - 5.348= 20.672
that's what I got... hopefully I got what your looking for.. :D
An observer in a hot air balloon spots an object on the ground. He knows that he is 150 m high and 285 m horizontally from the object. What is the angle of depression at which the observer spotted the object?
Round to the nearest tenth.
Answer:
27.8 degrees
Step-by-step explanation:
Please helpASP hurry please and ty
Find and reduce
5/6 - 2/3 x 3/4
Answer:
1/3
Step-by-step explanation:
Answer: 1/3
Step-by-step explanation: