Answer:
[tex]x = 22.5[/tex]
Explanation:
Given Sides:
HB = 6HD = 6+15 = 21HM = 9HT = 9 + x-----------------------------
using all these sides, create similarities equation:
[tex]\frac{HB}{HD} = \frac{HM}{HT}[/tex]
[tex]\frac{6}{21} = \frac{9}{9+x}[/tex]
[tex]6(9+x) = 9(21)[/tex]
[tex]54 + 6x = 189[/tex]
[tex]6x = 189 - 54[/tex]
[tex]6x = 135[/tex]
[tex]x = \frac{135}{6}[/tex]
[tex]x = 22.5[/tex]
2. Find the slope, the y-intercept and then write the equation of the line.
Answer:
Y =3x/2 is the equation of the line.
Slope is 3/2
Y intercept is zero
Put the following equation of a line into slope-intercept form, simplifying all fractions.
12x-20y= 60
Answer:
[tex]y=\frac{3}{5} x-3[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx+ b
m = slope
b = y-intercept
Rearrange the equation:
[tex]-20y=-12x+60[/tex]
Divide each side by -20:
[tex]\frac{-20y}{-20} =\frac{-12x}{-20} +\frac{60}{-20}[/tex]
[tex]y=\frac{3}{5} x-3[/tex]
[tex]y=\frac{3}{5} x-3[/tex] is your simplified, slope-intercept form equation.
(–3f – 4g + 9) – (2 – 6f + 5g)
CONVERT 24-HOUR TO 12-HOUR
1. 21:30
2. 08:50
3. 10:45
4. 19:36
Answer:
1) 09:30
2) 08:50
3) 10:45
4) 07:36
Step-by-step explanation:
I hope this helps!!Anna and Sal purchased two tickets at Urban Air Adventure Park for $30.00 each. Both bought a
Gatorade afterwards. Sal used a gift card for $25.00 that he received from his aunt for his birthday.
After using the gift card, their total cost was $40.90.
What is the cost of one Gatorade? ( I mainly need the equation that would be used )
The cost of one Gatorade is $32.95.
What is the cost of one Gatorade?The total cost of both gatorade is the sum of the value of the gift card and the total cost.
Total cost of both gatorade = value of the gift card + total cost
$25 + 40.90 = $65.90
In order to determine the cost of one gatorade, divide $65.90 by 2
The cost of one gatorade = Total cost of both gatorade / 2
$65.90 / 2 = $32.95
To learn more about division, please check: https://brainly.com/question/13281206
100/12 as a mixed number
Answer:
8 and 1/3
Step-by-step explanation:
100 divided by 12 and then the leftover. Also needs to be simplified from 4/12 to 1/3 (:
Write a sine function that has a midline of 5, an amplitude of 2 and a period of 3pi
(Please answer ASAP) A bag contains three red marbles, five green marbles, and two blue marbles.
a. What is the probability of getting a red marble?
b. What is the probability of NOT getting a red marble?
Answer:
a. 3/10
b. 7/10
Step-by-step explanation:
a. Total number of marbles = 10
Number of red marbles = 3
Probability = Number of outcomes/ Total number of outcomes
= 3/10
b. Total number of marbles = 10
Number of red marbles = 3
Number of marbles excluding the red marbles
= 10 - 3 = 7
Probability = Number of outcomes/ Total number of outcomes
= 7/10
Solve for X. 4.5/x = 3/4
Answer:x = 6
Step-by-step explanation:
because each 1/4 is equal to 1.5 in this instance. Making 3 of these equal parts equal to 4.5, and all 4 of them equal to 6 (the denominator).
what is the missing fraction on the spinner? some1 helppp
Answer:
7/16
Step-by-step explanation:
Jeremiah is factoring 0.64t^24 – 9 by using the rule a^2 – b^2 = (a + b)(a – b).
What will he use for the value of a?
A. 0.8t^12
B. 0.08t^12
C. 0.8
D. 0.64
Answer:
[tex]0.8\, t^{12}[/tex] (assuming that [tex]a \ge 0[/tex].)
Step-by-step explanation:
The rule [tex]a^{2} - b^{2} = (a + b)\, (a - b)[/tex] describes a way for factoring the difference between two perfect squares [tex]a^{2}[/tex] and [tex]b^{2}[/tex].
Setting [tex]a^{2} = 0.64\, t^{24}[/tex] and [tex]b^{2} = 9[/tex] would ensure that [tex](a^{2} - b^{2})[/tex] match the given expression.
Take the square root of both sides of the equality [tex]a^{2} = 0.64\, t^{24}[/tex]. Make use of the fact that for all [tex]x \ge 0[/tex], [tex]\sqrt{x} = x^{1/2}[/tex].
[tex]\displaystyle \sqrt{a^{2}} = \sqrt{0.64\, t^{24}}[/tex].
[tex]\begin{aligned} a &= \left(\sqrt{0.64}\right)\, \sqrt{t^{24}} \\ &= 0.8\, (t^{24})^{1/2}\\ &= 0.8 \, t^{24 \times (1/2)} \\ &= 0.8\, t^{12}\end{aligned}[/tex].
Please educated people solve my question.. i asked it an hour ago nobody knows it
AB = AX+XB = 6+18 = 24
The ratio of AB to AX is AB/AX = 24/6 = 4
AC = AY+YC = 10+25 = 35
The ratio of AC to AY is AC/AY = 25/10 = 3.5
The results of each division are 4 and 3.5
We do not get the same result, which means that the proportion [tex]\frac{AB}{AX} = \frac{AC}{AY}[/tex] is not true. This is sufficient to prove that the triangles aren't similar. We need them to be in proportion so that we can use the SAS similarity rule.
Answer: The triangles aren't similarurgent!!!!!!
in an oblique triangle two sides measure 6cm and 12 cm and the angle across from the side that is 12cm in length measures 58°. to the nearest whole, what are the measures of the other two angles
Answer:
25° and 97°
Step-by-step explanation:
Oblique triangle : any triangle that is not a right triangle
Use the sine rule to find one of the unknown interior angles:
[tex]\dfrac{sin(A)}{a}=\dfrac{sin(B)}{b}=\dfrac{sin(C)}{c}[/tex]
where A, B and C are the interior angles of a triangle, and a, b and c are the sides opposite to the interior angles.
[tex]\implies \dfrac{sin(58)}{12}=\dfrac{sin(B)}{6}[/tex]
[tex]\implies sin(B)=\dfrac{6sin(58)}{12}=0.4240240481...[/tex]
[tex]\implies sin(B)=25.08890446...=25 \textdegree \ \ \textsf{(nearest whole)}[/tex]
Sum of interior angles of a triangle = 180°
⇒ Missing angle = 180 - 58 - 25 = 97°
Help!!,!, please
y = 2x + 4
6x – 3y = -12
And
y = 2x
-8x – 2y = 24
System by substitution
Answer:
y = 2x + 4
y = 2x + 46x – 3y = -12
y = 2x + 46x – 3y = -12And
y = 2x + 46x – 3y = -12Andy = 2x
y = 2x + 46x – 3y = -12Andy = 2x-8x – 2y = 24
Step-by-step explanation:
hope it helps you
Maddie does not have any pretzels.
Zach gives Abbey 8 pretzels. Then he splits half of the pretzels he has left with Maddie.
Zach lets p represent the number of pretzels he starts with. He finds that the number of pretzels that Maddie has is the difference of p and 8.
Write an expression to represent the number of pretzels that Maddie has
< 23 24 25
26
27
23
30
31
32
> 28 of 36
Finish Later
II
Sunt
so zach starts with x
he gives abbey 8
x - 8
now he has x - 8 pretzels
he gives half of x - 8 to maddie
0.5x - 4 = how many maddie has at the end
x - 8 = 0.5x - 4
2x - 16 = x - 8
x = 8
According the contract, which of the following is not a responsibility of the HOA? a. Monitor overnight parking at least once a week b. Give a written warning for the first infraction of overnight parking c. Give a written warning for the second infraction of overnight parking d. Tow the car of a homeowner who has parked in the street overnight five nights in a row.
Answer:
The correct answer is letter D: tow the car of a homeowner who has parked in the street overnight five nights in a row.
This rule was not mentioned in the said contract. HOA specifically notified that if a person violates the rule more than three times, fines will be given to this violator.
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
did the test got it wrong but it showed the answer
51 POINTS ANSWER (correctly) QUICKLY
Rectangle MPAT has vertices M(1, 2), P(1, 3), A(3, 3), and T(3, 2). Rectangle MPAT was translated 1 unit right and 2 units up to produce rectangle M'P'A'T'.
Which coordinates describe the vertices of the image?
A. M'(3, 3), P'(3, 4), A'(5, 4), and T'(5, 5)
B. M'(2, 2), P'(2, 3), A'(4, 3) , and T'(4, 2)
C. M'(1, 4), P'(1, 5), A'(3, 5) , and T'(3, 4)
D. M'(2, 4) , P'(2, 5) , A'(4, 5) , and T'(4, 4)
Answer:
D. M'(2, 4) , P'(2, 5) , A'(4, 5) , and T'(4, 4)Step-by-step explanation:
The translation rule is:
(x, y) → (x + 1, y + 2)Apply this rule to the vertices:
M(1, 2) → M'(1 + 1 = 2, 2 + 2 = 4)P(1, 3) → P'(1 + 1 = 2, 3 + 2 = 5)A(3, 3) → A'(3 + 1 = 4, 3 + 2 = 5)T(3, 2) → T'(3 + 1 = 4, 2 + 2 = 4)Correct choice is D
Suppose your friend's parents invest $20,000 in an account paying 6% compounded annually. What will the balance be after 6 years?
Answer:
28,370.38
Step-by-step explanation:
If accumulated but not compounded
.06 * 20,000 = 1200 per year
1200 * 6 = 7200 total interest
7200 + 20,000 = 27,200
If compounded annually
20,000 * 1.06^6 = 20,000*1.4185 = 28,370.38
just an addtion to the reply above.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$20000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases} \\\\\\ A=20000\left(1+\frac{0.06}{1}\right)^{1\cdot 6}\implies A=20000(1.06)^6\implies A\approx 28370.38[/tex]
Joshua has a ladder that is 18 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 17.7 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 78°. Will the ladder be safe at this height?
For safety reasons \theta should not be greater than 70 and with the current scenario\theta= 79.52
the ladder will not be safe at this height
\theta= 79.52
ArithmeticQuestion Parameters:
Joshua has a ladder that is 18 ft long.
He wants to lean the ladder against a vertical wall so that the top of the ladder is 17.7 ft
Generally the equation for the angle ABC is mathematically given as
Let ∠ABC = \theta
In the right angle triangle ACB,
Hence
sin ∠ABC = AC / AB
sin \theta = 17.7 / 18
[tex]\theta = sin-1 (17.7 / 18)\\\\\theta = 79.52[/tex]
For more information on Arithmetic
https://brainly.com/question/22568180
What is the product?
361
[-1 2 41x2 40
0 62
0
이에
26
7
o [126 7 기
ㅇ[73891
7
0 138
9
Answer:
i think the profuct is joe
Step-by-step explanation:
j
o
e 1-357=1
Graph 0.04x+0.02y=0.08.
Answer:
see below
Step-by-step explanation:
let's convert it into slope intercept form first as it will get rid of the decimals. so we must get it to follow the form of y = mx + b.
so we must isolate the y variable:
- subtract 0.04x from both sides
- now we have 0.02y = 0.08 - 0.04x, and to follow the form this can also be 0.02y = -0.04x + 0.08
- divide both sides by 0.02
- now we have y = -2x + 4, so we know the slope is -2
now lets find the intercepts:
y intercept => set x=0
y = -2(0) + 4
y = 4
so we have (0,4)
x intercept => set y=0
0 = -2x + 4
-4 = -2x
x= 2
now we have (2,0)
graph it:
with two points (the intercepts) and the slope we can find a graph that looks like this
Please find which inequality has a solution that is represented by the graph below
Answer:
your answer is D
yes, I checked
On a timer someone please help!!
Answer:
B. x^1/8 y^8
Step-by-step explanation:
here are the steps so you understand better
probability
pls help
Answer:
inbox I think maybe I can help
What is the area of the model
I'm not asking for too much so PLS help
I'M DESPERATE :(
Answer:
no
Step-by-step explanation:
theses expressions do not have the same values because they both have differant answers.
when put in a calculator: [tex]\sqrt{100-64[/tex] = 6
and [tex]\sqrt{100[/tex] - [tex]\sqrt{64[/tex] into the calculator you get =2 (the sqrt of 100= 10 and the sqrt of 64=8) (10-8=2)
Answer:
ok so lets just talk about what each one represents
the first one represents the square root of 100-64 so
the square root of 36 is 6
the second one is the square root of 100 minus the square root of 64 so
10-8=2
the first one is 6
the second one is 2
so no
Hope This Helps!!!
A teacher writes the expression 3 (6m + 3) and asks for students to write equivalent expressions. The table shows the students' responses.
Student
1
2
3
4
Response
9m + 6
18m + 3
18m + 9
21m
Select the best answer from the choices below:
Student 1 is correct because distributing the 3 in the teacher's expression yields Om + 6
Student 2 is correct because distributing the 3 in the teacher's expression yields 18m + 3
Student 3 is correct because distributing the 3 in the teacher's expression yields 18m + 9
Student 4 is correct because distributing the 3 in the teacher's expression, and then adding the two terms together yields 21m
Please answer this correctly
Thanks :)))))
Answer:
Here you go
Step-by-step explanation:
1. Equiangular triangle
2. Isosceles triangle
3. Right angle triangle
4. Scalene triangle
5. Obtuse angle triangle
6. Acute angle triangle
7. Equilateral triangle
8. corners
9. angles
10. triangle
Answer:
Step-by-step explanation:
Equiangular triangle
2. Isosceles triangle
3. Right angle triangle
4. Scalene triangle
5. Obtuse angle triangle
6. Acute angle triangle
7. Equilateral triangle
8. corners
9. angles
10. triangle
. Paige can complete a landscaping job in
6 hours. Malia can complete the same job in
4 hours. Working together, how long would it
take them to complete the job?
Togetherly Paige and Malia can complete the job in 2.4 hours,
What is the rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
Let the amount of work be x,
Paige complete x work in 6 hours
So the unit rate of doing work of page = x / 6
Similarly,
The unit rate of doing x work of Malia = x / 4
Sum of the unit rate = x / 6 + x /4 = 5x/12
Now,
Time = work/unit rate
Time = x / [5x/12]
Time = 12/5
Time = 2.4 hours
Here, togetherly Paige and Malia can complete the job in 2.4 hours,
Learn more about the rate of change here:
https://brainly.com/question/13103052
#SPJ2
whats the answer for this oneeeeeeb
Answer:
x ≈ 229.8
Step-by-step explanation:
using the cosine ratio in the right triangle
cos72° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{LM}{KM}[/tex] = [tex]\frac{71}{x}[/tex] ( multiply both sides by x )
x × cos72° = 71 ( divide both sides by cos72° )
x = [tex]\frac{71}{cos72}[/tex] ≈ 229.8 ( to the nearest tenth )