Answer:
3x - x + 3 - 9 = 6
3x - x + 3 = 6 +9
2x +3 = 15
2x = 15 - 3
2x = 12
x= 12/2
x= 6
Rules - When the side changes , sign changes .for ex (-9) on changing side (from left to right ) becomes plus 9
WILL GIVE BRAINLIESt:
Given: ∆ABC, AC = 5
m∠C = 90°
m∠A = 22°
Find: Perimeter of ∆ABC
Perimeter of ΔABC is 12.41 units.
From the picture attached,
ΔABC is a right trianglem(AC) = 5 unitsm(∠C) = 90°m∠A = 22°Since, cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] and sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
For angle A,
Adjacent side = AC = 5 units
Opposite side = BC
and Hypotenuse = AB
By substituting the values in the cosine ratio,
cos(22°) = [tex]\frac{5}{AB}[/tex]
AB = [tex]\frac{5}{\text{cos}(22^{\circ})}[/tex]
= 5.39
Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(22°) = [tex]\frac{BC}{5.39}[/tex]
BC = 5.39[sin(22°)]
= 2.02
Since perimeter of the given triangle ABC = AB + BC + AC
By substituting the measures of all sides in the expression of the perimeter,
Perimeter = 5.39 + 2.02 + 5
= 12.41 units.
Therefore, perimeter of the given triangle is 12.41 units.
Learn more,
https://brainly.com/question/5993308
Solve the following equation for the
variable (a). -3a = 15
a = 5
a = 12
a = -5
a = 18
When Ramon looked out at the school parking lot, he noticed that for every 3 minivans, there were 7 other types of vehicles. If there are a total of 150 vehicles in the parking lot, how many of them are minivans?
Answer:
Step-by-step explanation:
If there were 3 vans for every 7 cars, then there were 3 vans for every 10 of the total in the lot. Use a proportion to solve this:
[tex]\frac{vans}{total}:\frac{3}{10}=\frac{x}{150}[/tex] and cross multiply to get
10x = 450
so x = 45
There are 45 vans in the lot.
Find the hypotenuse, c, of the triangle.
А
4
B.
C С
12
Answer:
A.
Step-by-step explanation:
Divide up the number 72 in a 2:3:4 ratio.
pls
no trolling last one was trolling i think
Answer:
16:24:32
Step-by-step explanation:
So you add all the 2+3+4 and you’ll get 9
Now divide 72/9, you’ll get 8
now multiply 8 on all the ratios
2*8=16
3*8=24
4*8=32
now put them together
16:24:32
Answer:16:24:32
Step-by-step explanation:
x⁴+x²+1+x⁴64445555555555555555
Answer:
2x⁴ + x² + 64445555555555555556
solve the following equation: 8x^2 = 2x
Answer:
x = 0, x = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
8x² = 2x ( subtract 2x from both sides )
8x² - 2x = 0 ( factor out 2x from each term )
2x(4x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
2x = 0 ⇒ x = 0
4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]
Find the x and y intercept of the line below
2x + 5y = 10
Answer:
x - intercept = 5
y- intercept = 2
Step-by-step explanation:
2x + 5y = 10
Write the equation in [tex]\frac{x}{a}+\frac{y}{b}=1[/tex] form
So, divide the equation by 10
[tex]\frac{2x}{10}+\frac{5y}{10}=\frac{10}{10}\\\\\frac{x}{5}+\frac{y}{2}=1[/tex]
x - intercept = 5
y- intercept = 2
Answer:
(5,0) and (0,2)
Step-by-step explanation:
Basically, all we need to do is enter 0 for both variables. We can do this because the y-value of an x-intercept will always be 0, and the x-value of a y-intercept will always be 0.
So, to find the x-intercept we can set y equal to 0 and then solve for x.
[tex]2x+5(0)=10\\2x=10\\x=5[/tex]
So the x-intercept will be (5,0).
We can do the same thing to find the y-intercept.
[tex]2(0)+5y=10\\5y=10\\y=2[/tex]
The y-intercept is (0,2)
Hope this helps!
Write an
explicit formula for the sequence 6,2,-2,-6-10, ... Then find the 1st term.
Answer:
Step-by-step explanation:6232821
Please answer the question below
the answer is c which is the number 12
16 pearls/20opals = 8pearls/ blank opals complete each equivalent ratio
Answer:
10
Step-by-step explanation:
16/20=8/10
16/2=8
20/2=10
16 pearls/20opals=8perals/10opals
I really need help :(
can someone help me please !!!!!!
Answer: From top to bottom of the chart: -13, -6, 1, 8, 15
Step-by-step explanation:
You can solve the equation by putting the numbers in the graph (under the letter x) into the equation. Meaning when it says "-2", you can write 7(-2)+1, or 7 times negative 2 minus one, which equals -13. Do the same thing with the rest :]
(26+5)•2-15
Please show with step
Answer:
47
Step-by-step explanation:
(26+5) • 2-15
Follow Pemdas
P.E.M.D.A.S
Parenthesis first
31•2-15
Multiplication next
62-15
47
An earthquake wave travels through 55 km of rock in 25 seconds . Which equation represents the relationship between t, the number of seconds, and d, the total distance the wave travels?
Answer:
2.2 m/s
Step-by-step explanation:
Step one
Given data
An earthquake wave travels through 55 km
hence distance = 55 km
time taken = 25 seconds
Required
the expression relating t and d
Step two:
we know that velocity is
Speed= distance/time
speed= 55/25
Speed= 2.2 m/s
Help me please and thank you
Possibly B but i'm not sure..
Determine whether the table of values below represents a linear function. If it represents a linear function, write the function. If it does not represent a linear function, explain why not.
Answer:
The equation of a linear function is:
[tex]y = 2x+4[/tex]Step-by-step explanation:
Given the table
x y
-10 -16
-3 -2
1 6
2 8
Determining the slope between the points (-10, -16), (-3, -2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-10,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]
[tex]m=\frac{-2-\left(-16\right)}{-3-\left(-10\right)}[/tex]
[tex]m=2[/tex]
Determining the slope between the points (-3, -2), (1, 6)
[tex]m=\frac{6-\left(-2\right)}{1-\left(-3\right)}[/tex]
[tex]m=2[/tex]
Determining the slope between the points (1, 6),(2, 8)
[tex]m=\frac{8-6}{2-1}[/tex]
[tex]m = 2[/tex]
As the slope between the points is the same. Thus, the table represents the linear function.
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 2 and any point let say (1, 6)
[tex]y - 6 = 2(x-1)[/tex]
[tex]y-6 = 2x-2[/tex]
[tex]y = 2x-2+6[/tex]
[tex]y = 2x+4[/tex]
Therefore, the equation of a linear function is:
[tex]y = 2x+4[/tex]At the market, Meyer buys a bunch of bananas for $0.65 per pound and a frozen pizza for $4.99. The total for his purchase was $6.94, without tax. How many pounds of bananas did Meyer buy?
Answer:
Well, 6.94 - 4.99 = 1.95 also that divided by 0.65 = 3 So it is 3 pounds of bananas
Step-by-step explanation:
P.S can I have brainliest?
rob is asked to graph this system of equations: 6x + 2y = 5; y + 3x =2; how many times will the lines intersect? A. there is no way to tell without graphing the lines first. B. the lines will not intersect, cuz the system only has one system. C. the lines will intersect once. D. the lines will intersect more than once.
Answer:
C
Step-by-step explanation:
A and B are wrong and with D they wouldn't be lines so imma go with C.
Sorry if it's wrong.
√ 25 –2√3 + √27 +2√ 9 Express in simplified radical
Answer:
The expression in simplified radical form is:
√ 25 –2√3 + √27 +2√ 9 = 11 + √3
Step-by-step explanation:
Given the expression
√ 25 –2√3 + √27 +2√ 9
as
√ 25 = 5
√27 = 3√3
2√9 = 6
so the expression becomes
√ 25 –2√3 + √27 +2√ 9
= 5 - 2√3 + 3√3 + 6
= 11 + √3
Thus, the expression in simplified radical form is:
√ 25 –2√3 + √27 +2√ 9 = 11 + √3
Find the percent increase. Round to the nearest percent.
From 95 books to 139 books.
The percent increase is __%
(I just need the answer, no need for explanation)
Answer:
32%
Step-by-step explanation:
at least twenty caters long
Will mark brainliest for whoever answers
Answer:
a; r=1 is the answer
Step-by-step explanation:
Answer:
c).r=1
Step-by-step explanation:
hope this help
pick me as the brainliest
4 Sheila buys 200 shares of stock at $18.25 per share and sells them at $32.50 per
share.
Her total profit is
Answer:
Step-by-step explanation:
If Sheila buys
200 shares for 18.25
200*18.25==3650
she sells them for
200*32.50=6500
her profit is
6500-3650=2850.00
another way to solve this would be
32.50-18.25=14.25
14.25*200=2850
Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs. Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs.
Answer:
28 soccer balls.
Step-by-step explanation:
Let there are 7x basketball and 6x soccer balls.
A sports store donates basketballs and soccer balls to the boys and girls club.
The store donates 24 soccer balls.
It means,
6x = 24
x = 4
No of basketballs = 7x
= 7(4)
= 28
Hence, the store denote 28 soccer balls.
A package of notepads contains 6 yellow, 6 blue, 6 green, and 6 pink notepads. An experiment consists of randomly selecting one of the notepads and recording its color. Find the sample space for the experiment.
Answer:
24
Step-by-step explanation:
Given that:
Number of yellow notepads = 6
Number of Blue notepad = 6
Number of green notepads = 6
Number of pink notepads = 6
Samole space for experiment :
(Number of different distinct notepads * Number of notepads in each)
(4 * 6) = 24
Here a easy question for yall.
Hannah has 10 apples and she gave her friend 5 out of it. how much does hannah has now?
Easy~ UwU
Answer:
5
Step-by-step explanation:
The answer is 5 because it just is
Answer:
5Step-by-step explanation:
__________________________________________________________
Hannah gave her friend 5, so now she has 5!
__________________________________________________________
We can solve this by subtracting!
__________________________________________________________
10 - 1 = 9
10 - 2 = 8
10 - 3 = 7
10 - 4 = 6
10 - 5 = 5
__________________________________________________________
Hope this helps! uwu
__________________________________________________________
Help me please:(for brainiest:(
Answer:
The first equation is -8y
The second equation is -16.2h
Step-by-step explanation:
Hope that helps you out! :)
Which of these equations represents a line parallel to the line 2x + y = 6?
A) y= 2X+3
B) y -2X=4
C) 2X -y=8
D) y= -2X+1
Answer:
D) y= -2X+1
Step-by-step explanation:
All of the lines are perpendicular to the line 2x+y=6 except for D) y= -2X+1.
Mrs. Garcia borrowed some money at the rate of 4% per annum for the first year, at the rate of 6% pe r annum for the next 2 years, and at the rate of 7.5% per annum for the period beyond 3 years. If he pays a total interest of ₱ 15 750 at the end of 5 years, how much money did he borrow?
Answer: ₱40,909.1
Step-by-step explanation:
Given data:
Rate for first year = 4%
Rate for next two years = 6%
Rate for the next 3 years = 7.5%
Interest paid back after 5years = ₱ 15,750
Solution:
How much did she borrow.
= let the sum borrowed be P
= P * 4 / 100
= 4P/100
= 1P/25.
For the next two years
= P* 6 * 2/100
= 12P/100
= 3P/25
For the next 3years
= P* 7.5*3/100
= 22.5P/100
= 9P/40.
1P/25 + 3P/25 + 9P/40 = 15750
77P/200 = 15750
P = 15750 * 200 / 77
P = 315,0000/77
P = ₱40,909.1
The amount borrowed is ₱40,909.1
plsssssss help 5/6 x 7/8