Answer: x = 12
Step-by-step explanation:
We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.
We know that:
cos(S) = adj cathetus/hipotenuse.
Then we have, for the triangle SRT.
Cos(S) = 9/SR.
for the big triangle, SQR, we have:
Cos(S) = SR/(9 + 16)
now we can find the quotient of those two equations and get:
cos(S)/cos(S) = 9/Sr*(9+16)/SR
SR^2 = 9*(25)
SR = 15.
Now with this side we can find the value of x.
We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:
9^2 + x^2 = 15^2
x = √(15^2 - 9^2) = 12
9/20 GREATEST COMMON FACTOR
Answer:
1
Step-by-step explanation:
Factors of 9 are:
1, 3, 9
Factors of 20 are:
1, 2, 5, 10, 20
The greatest common factor is 1.
Simplify the question
10x /(divide) -2y
Answer:
-5x/y is the answer
Step-by-step explanation:
10x/-2y
Dividing by 2
=5x/-y
=-5x/y
I hope this will help you :)
Answer:
(-5x)/y
Step-by-step explanation:
I'm assuming you meant:
10x
---------
-2y
-5x
This reduces to ----------
y
In a sale normal prices are reduced by 10% Angelina bought a pair of shoes in the sale for £54 what was the original pricee of the shoes?
Answer:
£60
Step-by-step explanation:
Given that
The cost after reduction = £54
So, 90% = £54
We have to find 100%
To do so, find 10% and ,multiply that by 10
90% = £54
10% = 54/9 = £6
1005 = 6x10 = £60
Hope this helps,.
Please mark brainiest
what is the solution to this equation? 4X equals 32
Answer:
x = 8
Step-by-step explanation:
4x = 32
Divide each side by 4
4x/4 = 32/4
x = 8
The solution to the equation 4x = 32 is x = 8.
How to evaluate and solve the given equation?In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.
Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
Based on the information provided, we have the following mathematical equation:
4x = 32
By dividing both sides of the equation by 4, we have:
x = 32/4
x = 8
Read more on expression here: brainly.com/question/16729936
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The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. The survey was given to 120 male students and 180 female students.How many students in the survey said that math was their favorite subject?
Answer:
Im pretty sure its D- 123
Step-by-step explanation:
Edg 2020
NEED MATH HELP NOW. Need help find the vertex and y intercept. Please show work.
Answer:
Vertex: ( 1 , 9 )
Y-intercept: ( 0 , 8 )
Step-by-step explanation:
y = - (x+2) (x-4)
y = -x² + 2x + 8
Find the vertex.
x = -b/2a
x = -2/2(-1)
x = -2/-2
x = 1
y = -(1)² + 2(1) + 8
y = -1 + 2 + 8
y = 9
Find the y-intercept.
Put x as 0.
y = -(0)² + 2(0) + 8
y = 8
A page in an average newspaper has 8 columns of print. Each column consists of 160 lines and each line averages 6 words. What's the average number of words on a full page?
Answer:
7,680
Step-by-step explanation:
A page has 8 columnsEach column consists of 160 lines.Each line averages 6 words.The average number of words on a full page
=Number of columns X Number of Lines X Number of words per line
=8 X 160 X 6
=7680
The average number of words on a full page is 7,680.
4.8x10^-3 as an ordinary number
Answer:
0.008.
Step-by-step explanation:
10^-3 basically tells you to move the decimal point to the left by three digits.
Right now, you have 8. If the decimal point were to move left by three digits, you can visualize 8 as 0008. Move left by three digits, and you get 0.008.
Hope this kind of helps!
Answer:
0.008.
hope this helps :)
-3.42, 10.26, -30.78, 92.34, ___,... what is the next number
Answer:
-277.02
Step-by-step explanation:
Given series:
-3.42, 10.26, -30.78, 92.34,...We can see the series is a GP with common ratio of -3, as:
10.26/-3.42= -30.78/10.26= 92.34/-30.78= -3So the next term will be:
92.34 × (-3)= -277.02This can have more than one option answer this fast in two minutes
Answer:
Just QT and UX
Step-by-step explanation:
QT and TX intersect and are not parallel.
QU and ST are not parallel or intersecting.
QT and WX are not parallel or intersecting.
QT and UX are parallel.
) We throw 9 identical balls into 7 bins. How many different ways are there to distribute these 9 balls among the 7 bins such that no bin is empty? Assume the bins are distinguishable (e.g., numbered 1 through 7).
Answer:
28 ways
Step-by-step explanation:
After placing 1 ball in each of the seven bins, there are two balls left.
If we place both balls in a single bin, there are 7 different ways to place the balls (place both on bins 1 through 7).
If we place each of the remaining balls in a different bin, the number of ways to place the balls is:
[tex]n_2=\frac{7!}{(7-2)!2!}=7*3=21[/tex]
The total number of ways to distribute those balls is 21 + 7 = 28 ways.
Can someone help me I really need help please help me thank you
Answer:60 degrees
Step-by-step explanation:
60 degress
43 + 167 + 90 = 300
360 - 300 = 60
<!> Brainliest is appreciated! <!>
Please help me!!!!!!!!!!!!!
Answer:
-3.125 < -2.95 < 2.6 < 103.5
Step-by-step explanation:
1) [tex]5\frac{6}{15}- 2\frac{4}{5}[/tex]
=> [tex]\frac{81}{15} - \frac{14}{5}[/tex]
=> [tex]\frac{81-42}{15}[/tex]
=> [tex]\frac{39}{15}[/tex]
=> 2.6
2) -4.5 * -2.3
=> 103.5
3) [tex]\frac{5}{-1.6}[/tex]
=> -3.125
4) [tex]-\frac{33}{10} + \frac{7}{20}[/tex]
=> [tex]\frac{-66+7}{20}[/tex]
=> [tex]\frac{-59}{20}[/tex]
=> -2.95
Answer:
fourth, first, third, second,
Step-by-step explanation:
The first equals 2 9/15
The second equals 10.35
The third equals 3 1/8
The fourth equals -2 19/20
the length of a rectangle is twice its width, the perimeter of it is 36cm. what is the are of it
Answer: 72 cm²
Step-by-step explanation: lets take the width as x and length as 2x as length is twice the width= perimeter of rectangle is 2*(l+b)=36cm
So, 2×(2x+x)=36cm
2×3x=36cm
6x=36cm
X=36/6:6cm( width, since width was taken as x)
Length= 2x: 2×6=12cm
So area of the rectangle is( l*b):
12×6= 72cm²
Anyone know this one?
Answer:
(-3, 5), (1, 4), (-2, 3), and (0, 2).
Step-by-step explanation:
When a function is inverted, the x-values become y-values, and the y-values become x-values.
The ordered pairs for the function are (5, -3), (4, 1), (3, -2), and (2, 0).
After inversion, the ordered pairs will be (-3, 5), (1, 4), (-2, 3), and (0, 2).
Hope this helps!
In the diagram, the measure of angle 6 is 98°. what is the measure of angle 7?
Answer:
7∠82°
Step-by-step explanation:
Well angle 6 and 7 are complementary angles, meaning they both add up to 180°.
So we do 180 - 98 which is 82°.
Answer: The measure of angle 7 is 82 degrees.
Step-by-step explanation:
Angle 6 and 7 lies on a straight line so they will add up to 180 degrees.
So if Angle 6 is 98 degrees then an a number plus 98 has to equal 180.
so we could generate an equation as x + 98 = 180
x + 98 = 180 solve for x
-98 -98
x= 82
Here were 87 sunflowers at the flower shop in the morning. There were 56 sunflowers left at the end of the day. How many sunflowers were sold? Explain a way to solve the problem.
Answer:
31
Step-by-step explanation:
We just have to calculate 87 - 56 which is 31 so the answer is 31 sunflowers.
Answer:
31
Step-by-step explanation:
Since we know that we started with a higher number than we ended with, it is obvious that this is a subtraction problem. Then, we simply have to find the difference by subtracting 87 by 56 (87 - 56 = x). After the calculation, we see that the answer is 31 (87 - 56 = 31).
Isaac and Victoria share money in the ratio 2 : 5 Victoria recieve £6.60
work out the difference between how much money Isaac and Victoria receive?
Answer:
£3.96
Step-by-step explanation:
Data obtained from the question include:
Isaac's ratio = 2
Victoria's ratio = 5
Total ratio = 2 + 5 = 7
Amount Victoria recieve = £6.60.
Next, we shall determine the total amount of money shared by Isaac and Victoria. This is illustrated below:
Let T be the total amount of money shared.
Victoria received = £6.60
Victoria's share =
Victoria's ratio/total ratio x total amount
£6.60 = 5/7 x T
£6.60 = 5T/7
Cross multiply
5T = £6.60 x 7
5T = £46.2
Divide both side by 5
T = £46.2/5
T = £9.24
Therefore, the total amount shared is £9.24.
Next, we shall determine the amount received by Isaac. This is illustrated below:
Victoria's share = £6.60
Total amount shared = £9.24.
Isaac's share =?
Isaac's share = Total amount shared – Victoria's share
Isaac's share = £9.24 – £6.60
Isaac's share = £2.64
Therefore, Isaac received £2.64
Finally, we shall determine the difference between how much money Isaac and Victoria receive. This is illustrated below:
Victoria recieve = £6.60
Isaac receive = £2.64
Difference = £6.60 – £2.64
Difference = £3.96
Therefore, the difference in the amount received by Victoria and Isaac is £3.96
help help meeeee pls
HELP ME PLEASE HELP ME HELP ME PLEASE
Answer:
no, because the remainder is 126Step-by-step explanation:
if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0
calculating remainder:
[tex]-3(-3)^3+6(-3)^2+6(-3)+9=-3\cdot(-27)+6\cdot9-18+9=\\\\=81+54-9=126[/tex]
I really need help with this question, it's confusing. It's geometry btw
Answer:
Two regular nonagons and nine congruent rectangle
Step-by-step explanation:
Two regular nonegon=on the surface and base..
Nine congruent rectangle=look at beside it will be look like 9 rectangle.. I hope it will be right.
the point P = (x, 1/2) lies on the unit curcle shown below. what is the value of x in the simplest form
Answer:
x=sqrt(3)/2 or -sqrt(3)/2
Step-by-step explanation:
(x,1/2) is on the unit circle at pi/6 and 5pi/6.
so x is either sqrt(3)/2 or -sqrt(3)/2
Answer: [tex]-\sqrt{3}/2[/tex]
Step-by-step explanation: I did the question and got it right
Sam bakes a variety of biscuits. 1/3
are peanut, 12 are raisin and the
remaining 12 were oat. How many
biscuits are baked?
Answer: 36
Step-by-step explanation:
Let the no. of biscuits be x
Peanuts will be 1/3x
So,
1/3x + 12 + 12 = x
1/3x + 24 = x
x + 72 = 3x
x-3x = -72
x = 72/2 = 36
Peanut biscuits will be 1/3 * 36 = 12
Total no. of biscuits baked were 12+12+12 = 36
someone help me asap please/math 10
Answer:
Step-by-step explanation:
4. a) tan x=17/12=1.416
x=54.8≈55
b)sin b=78/132=0.59
b=36.2≈36
cos 28=x/82
x=82*cos 28=82*0.9=73.8
prove that the difference between squares of consecutive even numbers is always a multiple of 4
Answer:
Let's call the numbers n and n + 2.
(n + 2)² - n²
= n² + 4n + 4 - n²
= 4n - 4
= 4(n - 1)
a line has a gradient of 4 and passes through the post (1,7). what is the equation?
Answer:
y = 4x + 3
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 )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (1, 7) into the partial equation
7 = 4 + c ⇒ c = 7 - 4 = 3
y = 4x + 3 ← equation of line
Answer:
The equation is y = 4x+3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x + b
Substitute the x and y value into the equation
7 = 4(1)+b
7 = 4+b
Subtract 4
7-4 =b
3=b
The equation is y = 4x+3
cube of -1/2 is equal to-----------. i need urgent please.I will mark brainest
Answer:
-1/8
Step-by-step explanation:
(-1/2)(-1/2)(-1/2)=-1/8
Answer:
[tex] \frac{ - 1}{8} [/tex]solution,
[tex] (\frac{ - 1}{2} ) ^{3} \\ = \frac{( { - 1)}^{3} }{( {2}^{3} )} \\ = \frac{ - 1 \times ( - 1) \times ( - 1)}{2 \times 2 \times 2} \\ = - \frac{ 1}{8} [/tex]
hope this helps...
Good luck on your assignment
8. The length of a side and the corresponding height
of a triangle are (x+3) cm and (2x – 5) cm respectively.
Given that the area of the triangle is 20 cm”, find
the value of x.
Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = x + 3 and h = 2x - 5 , thus
[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ( multiply both sides by 2 )
(x + 3)(2x - 5) = 40 ← expand factors on left using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , hence x = 5
A herd of bison currently has 55 members. Based on the available resources,
biologists estimate that the size of the herd will increase at a rate of 6% per
year. Which of the following graphs models this relationship, if the x-axis
represents years and the y-axis represents number of bison?
The equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x
where a is a constant and a>1
We have:
A herd of bison currently has 55 members, and biologists estimate that the size of the herd will increase at a rate of 6% per year.
We can model this relationship:
[tex]\rm y = 55(1+0.06)^x\\\\\rm y = 55(1.06)^x[/tex]
Thus, the equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.
Learn more about the exponential function here:
brainly.com/question/11487261
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11. Three men can build a wall in 10 hours. How
many men would be needed to build the wall in
7 hours?
Answer:
Man-hours to build the wall: 3 * 10 = 30
:
let m = no. of men required to do it 7.5 hrs
7.5m = 30
m = [tex]\frac{30}{7.5}[/tex]
m = 4 men to build it in 7.5 hrs
Step-by-step explanation: