What is the value for x in the diagram? Rounded to the tenth
Answer:
26.2
Step-by-step explanation:
Pythagoras theorem
Answer:
x ≈ 10,54 units
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 17² = 20²
x² + 289 = 400 ( subtract 289 from both sides )
x² = 111 ( take the square root of both sides )
x = [tex]\sqrt{111}[/tex] ≈ 10.54 ( to 2 dec. places )
The width of the rectangle is 5x-4. The length of the rectangle is 5
What is the simplified expression for the area of the rectangle?
Answer:
The area of the rectangle A = 25x² - 20x
Step-by-step explanation:
Given
The width of the rectangle = w = 5x - 4
The length of a rectangle = l = 5x
To determine
The area of the rectangle = ?
Using the Formula to determine the area of the rectangle
[tex]A = wl[/tex]
substitute w = 5x - 4 and l = 5x in the formula
[tex]A = (5x-4) (5x)[/tex]
Apply distributive law: a(b-c) = ab - ac
[tex]=\left(5x\right)\cdot \:5x-\left(5x\right)\cdot \:4[/tex]
[tex]=5x\left(5x\right)-4\left(5x\right)[/tex]
as 5x(5x) = 25x² and 4(5x) = 20x, so
[tex]=25x^2-20x[/tex]
Therefore, the area of the rectangle A = 25x² - 20x
In a basketball game, Patrick scores twice as
many points as John. John scores four points
fewer than Charles, and Charles scores three
times as many points as Anthony. If Anthony
scores 5 points, how many points did Patrick
score? Explain your reasoning.
Answer:
15
Step-by-step explanation:
Answer:
He scored 22 points.
Step-by-step explanation:
Anthony scored 5 points. Chareles scored 3 times as much and thats 15. minus 4 is 11. 11 times 2 is 22!
Four points partition the directed line segment from A to B. • Point P partitions the directed line segment from A to B into a 3:4 ratio. • Point Q partitions the directed line segment from A to B into a 4:3 ratio. • Point R partitions the directed line segment from A to B into a 2:5 ratio. • Point S partitions the directed line segment from A to B into a 5:2 ratio. A number line has points A and B. A line is drawn from point A to point B. Which point will lie closest to B? P Q R S
Answer:
S is closest to B.
Step-by-step explanation:
Given a directed line segment from point A to B.
Point P divides the line A to B in a ratio 3:4.
Point Q divides the line A to B in a ratio 4:3.
Point R divides the line A to B in a ratio 2:5.
Point S divides the line A to B in a ratio 5:2.
To find:
The point which is closest to the point B.
Solution:
Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.
We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.
Let the distance between A and B be 7 units.
Now, the distances can be found easily.
[tex]PB = \dfrac{4}{7}\times 7 = 4\ units[/tex]
[tex]QB = \dfrac{3}{7}\times 7 = 3\ units[/tex]
[tex]RB = \dfrac{5}{7}\times 7 = 5\ units[/tex]
[tex]SB = \dfrac{2}{7}\times 7 = 2\ units[/tex]
The point which has the minimum distance from point B, will be nearest to B.
We can clearly observe that SB is the minimum distance.
Therefore, S is closest to B.
The closest point to point B on the line AB is point S
The ratios are given as:
P = 3 : 4
Q = 4 : 3
R = 2 : 5
S = 5 : 2
Given that the point is from A to B, the first ratio proportion represents the position of each point between A and B
So, we remove the second ratio proportion of the above ratios
P = 3
Q = 4
R = 2
S = 5
The point with the highest value is S i.e. 5
Hence, point S is the closest to point B
Read more about ratios and proportions at:
https://brainly.com/question/1781657
38%
12:19 Mon 18 Jan
<
6. In the diagram,
AB = x cm
BC = (x + 5) cm
CD= (2x - 1) cm
AD = 28 cm
D
B
a Show that 4x + 4 = 28
(2 marks)
b Solve 4x + 4 = 28
(2 marks)
c Work out the length of BD.
(2 marks)
Answer:
The answer is below
Step-by-step explanation:
The line segment addition postulate states that for a line segment AC, another point B lies on AC if the below equation is satisfied:
AB + BC = BC
a) From the question, since point B and C lies on AD, then:
AD= AB + BC + CD
Substituting:
28 = (x) + (x + 5) + (2x - 1)
collecting like terms:
x + x + 2x + 5 - 1 = 28
Simplifying:
4x + 4 = 28
b) Simplifying the equation:
4x + 4 = 28
subtract 4 from both sides:
4x + 4 - 4 = 28 - 4
4x = 24
Divide through by 4:
4x / 4 = 24 / 4
x = 6
c) Also, BD = BC + CD
Hence:
BD = (x + 5) + (2x - 1)
x + 2x + 5 - 1 = BD
3x + 4 = BD
substitute value of x:
3(6) + 4 = BD
18 + 4 = BD
BD = 22
pre cacl pleaseeeee help. the options are in the attachments as well
Answer:
The values of [tex]x[/tex] so that [tex]y = \csc x[/tex] have vertical asymptotes are [tex]-2\pi[/tex], [tex]-\pi[/tex], [tex]0[/tex], [tex]\pi[/tex], [tex]2\pi[/tex].
Step-by-step explanation:
The function cosecant is the reciprocal of the function sine and vertical asymptotes are located at values of [tex]x[/tex] so that function cosecant becomes undefined, that is, when function sine is zero, whose periodicity is [tex]\pi[/tex]. Then, the vertical asymptotes associated with function cosecant are located in the values of [tex]x[/tex] of the form:
[tex]x = 0\pm \pi\cdot i[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]
In other words, the values of [tex]x[/tex] so that [tex]y = \csc x[/tex] have vertical asymptotes are [tex]-2\pi[/tex], [tex]-\pi[/tex], [tex]0[/tex], [tex]\pi[/tex], [tex]2\pi[/tex].
Juan has 5 boxes of pencils with x pencils in each. What expression would you use to represent the
total number of pencils that Juan has? Help plz
Answer:
5x
Step-by-step explanation:
If Juan has the same x amount of pencils in each of his five boxes then you would multiply 5 times x to find the total number of pencils he has.
I need help on three questions. I hope it doesn't take up a lot of time.
1) Solve x+9−3≤14. Graph the solution.
2)Solve 44>7+s+26. Graph the solution.
3Solve 6.1−0.3≥c+1. Graph the solution.
Thank you if you answer these i will mark your answer Brainliest.
Answer:
1) x ≤ 8
2) s < 11
3) c ≤ 4.8
Step-by-step explanation:
1) x+9-3≤14
x+6≤14
x ≤ 8
2) 44>7+s+26
44>33+s
s < 44-33
s <11
3) 6.1 - 0.3 ≥ c + 1
5.8 ≥ c + 1
c ≤ 4.8
What is the vertex of m2 - 20m + 72 = -3?
Answer:
m2−20m+72=−3
Step 1: Subtract -3 from both sides.
m2−20m+72−(−3)=−3−(−3)
m2−20m+75=0
Step 2: Factor left side of equation.
(m−5)(m−15)=0
Step 3: Set factors equal to 0.
m−5=0 or m−15=0
m=5 or m=15
Answer:
m=5 or m=15
help this is my exit ticket HURRY LOTS OF POINTS
Answer:
The answer for this question ( ur exit ticket ) is C .
Answer:
C
Step-by-step explanation:
We're told that for Sylvia to make a pink paint, he needs to mix 7 cups of white paint to every 3 cups of white paint.
Looking at the options , the correct one is C because it shows that the number of pink paints made.
For instance, if we're to make 1 pink paint , we'll need 7 of white paint and 3 cups of red paint.
If we're to make 2 pink paints, we'll need 14 cups of white paint and 6 cups of red paint
if we're to make 3 pink paints, we'll need 21 cups of white paint and 9 cups of red paint and so forth
PLEASE MARK ME AS BRAINLIEST
A school is arranging a field trip to the zoo. The school spends 687.54 dollars on passes for 40 students and 2 teachers. The school also spends 341.60 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answer:
16.37 for a pass on each student counting the teachers also if not counting the teachers it would be 17.18 dollars. For the lunches counting the teachers it would be 8.13 dollars without the teachers it would be 8.54 dollars
Step-by-step explanation:
took the amount of money divided by how many people there are
Look at this triangle . Work out the length of AB . One of angles is 4 and other is 11
Answer:
7 < AB < 15
Step-by-step explanation:
AB > 11-4, AB > 7
AB < 11+4, AB < 15
so 7 < AB < 15
Evaluate the expression for d = –6.
Answer:
give more coins >:(
Step-by-step explanation:
Answer:
Just sub in -6 for d and solve it on your calculator
Step-by-step explanation:
Next time, put a picture of the expression or write it out.
Thanks
-3 > 2/3p
Find/Solve the inequality ^^
Answer:
im learning the same thing
A fruit company sells two types of boxes large and small. A delivery of two large boxes and three small boxes has a total weight of 47 kilograms. A delivery of six large boxes in 5 small boxes has a total weight of 115 kg. How much does each type of box weigh?
Answer:
the large box weight is 6.50 kg and the small box weight is 13.75 kg
Step-by-step explanation:
The computation of each type of box weight is as follows:
Let us assume the large box be x
And, the small box be y
So,
2x + 3y = 47.......(i)
6x + 5y = 115........(ii)
Multiply by 3 in equation 1
6x + 9y = 141
6x + 5y = 115
Now subtract the last equation from the above one
4y = 26
y = 6.50
For x, it would be
2x+ 3(6.50) = 47
2x + 19.5 = 47
2x = 47 - 19.50
2x = 27.50
x = 13.75
Hence, the large box weight is 6.50 kg and the small box weight is 13.75 kg
she was born December 7 if she is 17 what year was she born?
Answer:
2003 assuming she is 17 right now
Step-by-step explanation:
What is 4+4+4×40_56
Answer:
[tex]112[/tex]
The answer is 112
Can somone pls help me .. will mark u brainliest !
Water flows to wish sprinkler at 25 gallons every 10 minutes how much water would flood the sprinklers in 3 hours
Answer:
Water in 3 hours = 450 gallons
Step-by-step explanation:
Given that:
Water flows at a rate of 25 gallons in 10 minutes.
10 minutes = 25 gallons
1 minute = [tex]\frac{25}{10}[/tex] = 2.5 gallons
Now,
Time = 3 hours
3 hours = 180 minutes
Quantity of water in 3 hours = 2.5 * 180
Quantity of water in 3 hours = 450 gallons
Hence,
Water in 3 hours = 450 gallons
How many solutions are there to the equation below?
9(x - 4) = 9x - 33
A. O
B. 1
C. Infinitely many
Answer:
A. there are no solutions
Step-by-step explanation:
2E. Point B is halfway between A and C. The distance from C to D is the same as the distance from D to E, which is the same as the distance from E to F. The area of triangle ACF is 180 cm2. How many square centimeters is the shaded area of triangle BCE?
Answer:
120
Step-by-step explanation:
Trust me!
Let t represent an unknown number. What is the value
oft such that: t^2 x^3– 3tx + 6 is divisible by x+3.
There are two possible answers:
t = 2/3 or t = -1/3
========================================================
Explanation:
The expression x+3 is the same as x-(-3). It is of the form x-k
Recall that by the remainder theorem, we know that p(x) is divisible by (x-k) if and only if p(k) = 0.
In this case, k = -3. Plug this into the p(x) function and we get
p(x) = t^2*x^3 - 3t*x + 6
p(-3) = t^2*(-3)^3 - 3t*(-3) + 6
p(-3) = -27t^2 + 9t + 6
Set that equal to 0
p(-3) = 0
-27t^2 + 9t + 6 = 0
-3(9t^2 - 3t - 2) = 0
9t^2 - 3t - 2 = 0
Now apply the quadratic formula to solve for t
[tex]t = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \frac{-(-3)\pm\sqrt{(-3)^2-4(9)(-2)}}{2(9)}\\\\t = \frac{3\pm\sqrt{81}}{18}\\\\t = \frac{3\pm9}{18}\\\\t = \frac{3+9}{18}\ \text{ or } \ t = \frac{3-9}{18}\\\\t = \frac{12}{18}\ \text{ or } \ t = \frac{-6}{18}\\\\t = \frac{2}{3}\ \text{ or } \ t = -\frac{1}{3}\\\\[/tex]
We get two possible solutions for t.
List a, b, and c for the following Quadratic: x^2 – 3x = 0
Answer:
a = 1, b = - 3, c = 0
Step-by-step explanation:
The standard form of a quadratic equation is
ax² + bx + c = 0 ( a ≠ 0 )
compare x² - 3x = 0
with a = 1, b = - 3, c = 0
2 point
1) What is mZWXY?
WS
K
60°
40°
20"
40"
60°
100
One evening, 1255 people went to the movies to see Gone with the wind. The box office receipts totaled to 12,295. The price of admission for adults is $10.00 and for children, it is $7.00. Write an equation for how many people went to see the movie. Write an equation for the amount of money made at the box office. How many of each type of ticket did they sell (adult and children)?
Answer:
Number of adult tickets sold = 1170
Number of children tickets sold = 85
Step-by-step explanation:
Let,
x be the number of adult tickets sold
y be the number of child tickets sold
According to given statement;
x+y = 1255 Eqn 1
10x+7y=12295 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=1255)
10x+10y=12550 Eqn 3
Subtracting Eqn 2 from Eqn 3
(10x+10y)-(10x+7y) = 12550 - 12295
10x+10y-10x-7y= 255
3y = 255
Dividing both sides by 3
[tex]\frac{3y}{3}=\frac{255}{3}\\y=85[/tex]
Putting y=85 in Eqn 1
x+85 = 1255
x = 1255-85
x = 1170
Hence,
Number of adult tickets sold = 1170
Number of children tickets sold = 85
ot
2. Which of the following is a true statement?
A. All real numbers are rational numbers.
B. All whole numbers are natural numbers.
C. All integers are whole numbers.
D. All natural numbers are integers.
i need help please!1
Answer:
for the first picture, she cleans 30 windows
the second picture is 52/100 :)
Answer:
It's B for the first one.
For the second one, it is C
Step-by-step explanation:
30 * 0.3 = 9
So 30% of 30 is 9. She did 9 windows.
0.52 = 52/100
It's 52/100 because 0.52 = 52%. 52% then equals 52/100.
52/100 = 13/25
So the answer is 13/25
Find the quotient.
1.980.65 : 10
Enter
Answer:
[tex]198.065[/tex]Step-by-step explanation:
[tex]1980.65 \div 10[/tex]
[tex]1980.65 \times \frac{1}{10} [/tex]
[tex] \frac{1980.65}{10} [/tex]
[tex]198.065[/tex]
uhh can you guys help me please?
Answer:
it's c
Step-by-step explanation:
just keep adding 5
I NEED AN ANSWER QUICK PLSSSSS
An experiement on the toxicity of mercury is conducted on a group of 85 lab rats. When all the rats are given a dose of 39 mg/kg, 40 of the test subjects died from overdosing of mercury.
What is the death rate (in percentage %) at this dosage?
Round your answer to the nearest whole number!
