Answers
Answer:
5. x=21.9 units
6. x=14 units
7. x=31.7 units
Step-by-step explanation:
5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units
6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x
7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7
Good Luck!
Answer:
Step-by-step explanation:
5.
So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.
So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.
x² = 20² + 9²
x² = 400 + 81
x² = 481
x = [tex]\sqrt{481}[/tex]
x =~ 21.93
x = 21.9
6.
Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:
y² = 19² - 17²
y² = 361 - 289
y² = 72
y = [tex]\sqrt{72}[/tex]
y =~ 8.48
x = 31 - (2 * 8.48)
x = 31 - 16,96
x = ~14,04
x = 14.0
Related Questions
Translate the sentence into an Inequality.
The sum of 6 and x is less than or equal to - 20.
Answers
The sum of 6 and x is less than or equal to - 20.
Answer: (6+x) ≤ -20
Ingrid is 3 times as old as Ernest. The sum
of their ages is 24. This is represented by the
equation e + 3e = 24, where e is Ernest's age.
How old is Ernest?
-
D. 21
C. 12
A. 3.
B. 6
Answers
Answer:
Ernest is six (B)
Step-by-step explanation:
e + 3e = 24
4e=24
[tex]\frac{4e}{4} =\frac{24}{4}[/tex]
e= 6
The cost of Matt and Natalie's dinner was $27.35. They want to leave a 20% tip. Which of the following is the closest to the amount of the tip they want to leave?
A. $4.00
B. $4.50
C. $5.00
D. $5.50
Answers
Answer:
Option D is correct.
Step-by-step explanation:
27.35 x 20/100
=> 2.735 x 2/1
=> $5.47
=> $5.50 (Rounded)
Therefore, Option D is correct.
Hoped this helped.
Hey can someone please help me in this question?
Answers
Answer:
£48
Step-by-step explanation:
Area of walls = area of four rectangular walls + area of two triangular shape at front and back
Area of a rectangular wall = l *w = 8 * 4 = 32 m²
Area of 4 rectangular walls = 4 *32 = 128 m²
Triangle:
Base = 6m
height = h = 7 - 4 = 3 m
Area of triangle = (1/2)*b*h
[tex]= \dfrac{1}{2}*6*3 = 3*3 = 9 \ m^{2}[/tex]
Area of 2 triangles = 2*9 = 18 m²
Area of four walls = 128 + 18 = 146 m²
Number of paint tins required = 146 ÷ 25 = 5.84 = 6
6 tins are required.
Cost of 6 tins = 8 * 6 = £48
Which of the following expressions correctly describes Completing the Square?
Answers
The expression that correctly describes completing the square is;
Option C; x² + ax + (a/2)²
Let's say we have an expression;
x² + ax + c = 0
Let us first rearrange to get;
x² + ax = -c
Add (a/2)² to both sides to get;
x² + ax + (a/2)² = -c + (a/2)²
Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²
But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²
Read more at; https://brainly.com/question/13981588
I don’t know how to do this…
Answers
Step-by-step explanation:
f^-1 means the inverse function that finds the x responsible for the creation of a given y (functional result) value.
y = 3x - 1
3x = y + 1
x = 1/3(y + 1)
and now we rename x to y and y to x, so that we get a normal function definition :
y = 1/3(x + 1) = (1/3)x + 1/3
now we create the first derivative d/dx of this function :
y' = 1/3
since both f(x) and f^‐1(x) are line functions with a constant slope, it is not surprising that the first derivative (the function of the slope of the base function) is a constant function.
so, for any value of x (incl. the requested x = 11) d/dx f^-1(x) = 1/3.
therefore also d/dx f^-1(11) = 1/3.
y = 2×sqrt(x)
sqrt(x) = y/2
x = y²/4
again we rename the variables, so that we get a normal function definition for the inverse function :
y = x²/4
the first derivative is :
y' = 2x/4 = x/2
so, d/dx f^-1(6) = 6/2 = 3
Use the inverse function theorem: if f(x) is continuously differentiable at x = a, and given f(a) = b, then f is invertible around x = a, and
[tex]\left(f^{-1}\right)'(b) = \dfrac1{f'(a)}[/tex]
Both the given functions f(x) meet the conditions above. Note that you don't need to actually compute the inverse function itself.
If f(x) = 3x - 1, then f(x) = 11 when
3x - 1 = 11 ⇒ 3x = 12 ⇒ x = 4
Now if f(4) = 11, it follows from the inverse function theorem that
[tex]\left(f^{-1}\right)'(11) = \dfrac1{f'(4)} = \boxed{\dfrac13}[/tex]
since f'(x) = 3.
If f(x) = 2√x, then f(x) = 6 when
2√x = 6 ⇒ √x = 3 ⇒ x = ±9
But note that f(x) is defined only for x ≥ 0, so we must take x = 9. Now if f(9) = 6, the inverse function theorem says
[tex]\left(f^{-1}\right)'(6) = \dfrac1{f'(9)} = \dfrac1{\frac1{\sqrt9}} = \boxed{3}[/tex]
since f'(x) = 1/√x.
Reindeers eat 62 apples an hour, there is 24 hours in a day, how many do they eat
Answers
multiply the numbers and that will be your answer.
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y = 5x - 2
Step-by-step explanation:
y = mx+b
Answer:
y = -5x-2
Step-by-step explanation:
Use slope and y intercept to place the equation into slope intercept for (y=mx+b)
Find the perimeter. Simplify your answer.
Answers
p= 4p+23
expand and simplify 4(x+3)+4(x+5)
Answers
Explanation: you would distribute the 4 to the x and the 3 which would get you 4x + 12 +4(x+5) then u would distribute the other 4 to the x and 5 which would then get u to 4x + 12 + 4x + 20 then u would combine like terms so 4x + 4x and 12 + 20 and that would get you to 8x + 32
Rearrange the numbers below from least to greatest
34.039 32.94 34.198 32.102 33.6
epic
PLSSSSS HELP-
Answers
Answer:
Least ------> Greatest
32.102, 32.94, 33.6, 34.039, 34.198
Answer:
32.102, 32.94, 33.6, 34.039, 34.198
Step-by-step explanation:
34.039, 32.94, 34.198, 32.102, 33.6
Rearrange:
34.198 > 34.039
33.6 > 32.94 > 32.102
New list: 32.102, 32.94, 33.6, 34.039, 34.198
-Chetan K
HURRY for Brainlist
The drama club is printing t-shirts for its 21 members. The printing company charges a certain amount for each shirt plus a setup fee of $40.
Write an equation to represent the total cost for printing the shirts.
Question 1 options:
C = 21 + 40t
C = 21t - 40
C = 21t + 40
C = 21t
Answers
y = 2.50x + 7.50
Domains:
0, 2, 3, 4, 5, 6, 7, 8, 9, 10
As you can’t ride 0.2 or 0.7 of a ride, for example, and you only have time for ten rides. Plus you have enough money to ride ten rides
For the drama club one:
C = 21t + 40
Is the correct answer as 40 is a set value and is not influenced by the amount of club members there are, x is the amount per shirt, and C is the cost
C = 21t + 40
Explanation:
Since the fee is 40 it’s +40 which in turn means doesn’t get affected by t hope this helps
can anyone help me solve this?
Answers
Step-by-step explanation:
a triangle,=180
so 68+35-180=77
then 77+68=145
g(x)=-4x+1;{-5, -1, 0, 2, 10}
Answers
Answer:G(-5)=21, G(-1)=5 G(0)=1 G(2)=-7 G(10)=-39
Step-by-step explanation:
HELP ME I NEED HELP AND I DONT KNOW THE ANSWER
Answers
Check B
(-3,0) and (0,-3)
Find slope
m=-3-0/0+3m=-3/3m=-1It has y intercept (0,-3)
Check A
(3,0) and (0,3)
m=3-0/0-3m=3/-3m=-1Option A is correct
Answer:
A
Step-by-step explanation:
Positive slope: as the x-value increases, the y-value increases.
Negative slope: as the x-value increases, the y-value decreases.
The slope of the graph is -1
As it has a negative sign, the graph has a negative slope.
As the slope is -1, this means that for every 1 unit increase of the x-value, the y-value decreases by 1 unit.
The line passes through (0, 3)
When the x-value is zero, the line intercepts the y-axis.
Therefore, the line will intercept the y-axis when y = 3.
Therefore, the graph of the line that passes through (0, 3) and has a slope of -1 is option A.
[tex]\begin{array}{|l|c|c|c|c|}\cline{1-5} & \sf Graph\:A & \sf Graph\:B & \sf Graph\:C & \sf Graph\:D \\\cline{1-5} \sf slope & \sf negative & \sf negative & \sf positive & \sf positive\\\cline{2-5} \sf & -1 & -1 & 1 & 1\\\cline{1-5} \sf y-intercept & (0,3) & (0,-3) & (0,-3) & (0,3)\\\cline{1-5}\end{array}[/tex]
The temperature of a mixture changes by −5.2°F between 8 a.m. and 11 a.m. At 6 p.m., the temperature is 14.5°F, which is half what it was at 11 a.m.
What was the temperature at 8 a.m. of the mixture?
Enter your answer as a decimal in the box.
Answers
Answer:
34.2
Step-by-step explanation:
Answer:
K12 Answer
Step-by-step explanation:
what is the answer to this question
6(3/4 + 2/3) - 4(1/6 + 1/2)
Answers
Answer:
5.83333333333
Step-by-step explanation: there you go
Please help
2x−9≥17
Ancwers:
x≤3
x≤13
x≥3
x≥13
Answers
You should have 2x<26 (canceled out the 9) (flip because you subtracted)
Divide the 2x and the 26 by 2.
Should be x is greater than or equal to 13 (x>13)
Mr. Smith and Mr. Kelly are business partners they agreed to divide the profits in the ratio of 3 to 2 the profit amount of 24,000 how much did each person receive
Answers
Answer: Mr. Smith makes 14,400, Mr. Kelly makes 9,600
Step-by-step explanation: First add the ratio together. 3+2=5.
Then divide 24,000 into five parts, 24,000/5 = 4,800.
After getting 4,800, multiply 4,800 by 3 to get Mr. Smith's portion of the money received. 4,800 x 3 = 14,000.
And you can do the same for Mr. Kelly but use 2 instead of a 3.
4,800 x 2 = 9,600
To check your work you can add the two answers together
9,600 + 14,400 = 24,000.
What does the rational form of the ratio a:b look like?
Answers
The rational form of a ratio is the ratio represented as a fraction (or quotient)
The rational form of the ratio a : b is a/b
The ratio is given as a : b (pronounced a ratio b)
This is properly represented as:
[tex]\mathbf{Ratio = a : b}[/tex]
To convert to rational form, means that we express the ratio as a fraction.
So, the ratio becomes
[tex]\mathbf{Ratio = \frac a b}[/tex] (pronounced a divided by b)
Hence, the rational form of the ratio a : b is a/b
Read more about rational forms at:
https://brainly.com/question/4087967
Alexa is y years old. Nate is 22 years old, and Alexa is one-half Nate's age Which equation shows an equality between two different ways of expressing Nate's age? OA) 22 = 2y OB) 22 = 2 + y OC) 22==y - 22 OD 22 = y2
Answers
Answer:
A. is the correct answer
Step-by-step explanation:
Stay safe.
A Function is defined as K(x)= 2x^2 -5x +3.The value of K(-3) is
Answers
Given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]
Given the function, [tex]K(x)= 2x^2 -5x +3[/tex], to find the value of K(-3), substitute -3 for x into [tex]K(x)= 2x^2 -5x +3[/tex].
Thus, substitute:[tex]K(-3)= 2(-3)^2 -5(-3) +3\\\\K(-3) = 18 + 15 + 3\\\\\mathbf{K(-3) = 36}[/tex]
Therefore, given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]
Learn more here:
https://brainly.com/question/19027807
The perimeter of a square is 48 cm. What is the length of each side of the square?
Answers
Answer:
12 cm
Step-by-step explanation:
48/4 is 12 since there is 4 sides and all of them are equal.
Answer:
the answer is 192
Step-by-step explanation:
48 + 48 +48 +48 since a square is 4 sided and you add it all together which gets you 192.
Factor the trinomial
10x^2+11X-6
Answers
Answer:
The expression is not factorable with rational numbers.
10x2+11X−6
Step-by-step explanation:
PLS Brainliest
find the sum of the first 10 terms of the geometric series 1+10+100+1000+...
(with solution)
PA HELP PO THANKSSS
Answers
Answer:
1111102111
Step-by-step explanation:
a = 1
r = 10
∑1x10^n = 1111102111
where n starts from 1 to 10
Slope of line |
Slope of line |
Line I and II are parallel
/perpendicular/ neither
7/2
-(7/2)
Answers
Answer:
Line I and II are perpendicular
Step-by-step explanation:
Parallel is when the slope is the same
Perpendicular is when the slope is the opposite (positive and negative)
Hope this helps!
many non-profit groups ask for donations during december. do men give higher monetary donations than women in the month of december? how should we write the alternative hypothesis? let mum be the population mean donation for men and let muw be the population mean donation for women.
Answers
Lucy has ridden 45 miles of a bike course. The course is 60 miles long. What percentage of the course has Lucy ridden so far?
Answers
Answer:
a
Step-by-step explanation:
Claim: Fewer than 95% of adults have a cell phone. In a reputable poll of 1170 adults, 90% said that they have a cell phone. Find the value of the test statistic.
Answers
Answer:
From the information given, it is found that the value of the test statistic is z = -11.97.
At the null hypothesis, it is tested if the proportion is of at least 95%, that is:
At the alternative hypothesis, it is tested if the proportion is of less than 95%< that is:
The test statistic is given by:
In which:
is the sample proportion.
p is the value tested at the null hypothesis.
n is the sample size.
In this problem, we have that the parameters are:
.
Thus, the value of the test statistic is:
The value of the test statistic is z = -11.97.
Step-by-step explanation:
hope it helps
please mark brainliest
Please help me solve this.
Answers
Answer:
63
Step-by-step explanation:
