Answer:
209.95
Step-by-step explanation:
Translate the following equation into a verbal sentence: x-6=2(8+x)
A- six less than x is two times the sum of eight and x
B-the difference between 6 and x is two times eight plus
C-six less than xis two times eight plus x
D- the difference between 6 and x is two times the sum of eight and x
Given triangle KLM, KM=24
m
Consider the attached diagram. Segment KO is an altitude of the triangle, so KO ⊥ LM. ∠L has measure 180° -105° -30° = 45°, so ΔKOL is an isosceles right triangle.
If we let segment LO have measure 1, then KO also has measure 1 and KL has measure √(1²+1²) = √2 by the Pythagorean theorem.
ΔKMO is half of an equilateral triangle, so KM has measure 2, and MO has measure √(2²-1²) = √3 by the Pythagorean theorem.
Then the ratio of KM to LM is 2:(1+√3) and the ratio of KL to LM is √2:(1+√3). That is, ...
... KL = LM×(√2)/(1+√3) = (20√3)(√2)/(1 +√3)
... KL = (20√6)/(√3 +1) = (20√6)(√3 -1)/(3 -1) . . . . . with denominator rationalized
... KL = 30√2 -10√6 ≈ 17.9315
and
... KM = LM×2/(1+√3) = KL×√2
... KM = (30√2 -10√6)√2
... KM = 60 -20√3 ≈ 25.3590
== == == == == ==
The Law of Sines tells you ...
... KL/sin(M) = KM/sin(L) = LM/sin(K)
Then ...
... KL = sin(M)·LM/sin(K) = sin(30°)·20√3/sin(105°) ≈ 17.9315
... KM = sin(L)·LM/sin(K) = sin(45°)·20√3/sin(105°) ≈ 25.3590
Answer:
≈ 12 unitsStep-by-step explanation:
Since m∠1 = m∠2, KF is angle bisector of ∠K
In the ΔKFM we have:
∠K = 34°/2 = 17°∠M = 15°∠F = 180° - (17° + 15°) = 148°KM = 24 unitsUsing low of sines:
sin F / KM = sin M / KFsin 148° / 24 = sin 15° / KFKF = 24*sin 15°/ sin 148°KF = 11.72 ≈ 12 unitsplease, someone help me
Answer:
the equation of the parabola in vertex form is y=3(x+2[tex])^{2}[/tex]-4
Step-by-step explanation:
The money m (in £) Paul has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns £160 a week and pays £38 in tax.
Answer:
m = £122
Step-by-step explanation:
m = w - t
Where,
m = money Paul had to spend each week (£)
w = Paul's wage (£)
t = tax paid on his income (£)
If w = £160 and t = £38
Find m
m = w - t
= £160 - £38
= £122
Paul has £122 to spend if he earns £160 a week and pays £38 in tax
PLEASEEEE HELPPPPPP!
Answer:
We conclude that the value of 'a' will be:
[tex]a=\frac{x+b^2}{2}[/tex]
Hence, option (2) is true.
Step-by-step explanation:
Given the equation
x = 2a - b²
Let us solve the equation to solve for 'a'
[tex]x=2a-b^2[/tex]
switching sides
[tex]2a-b^2=x[/tex]
Add b² to both sides
[tex]2a-b^2+b^2=x+b^2[/tex]
Simplify
[tex]2a=x+b^2[/tex]
Divide both sides by 2
[tex]\frac{2a}{2}=\frac{x}{2}+\frac{b^2}{2}[/tex]
Simplify
[tex]a=\frac{x+b^2}{2}[/tex]
Therefore, we conclude that the value of 'a' will be:
[tex]a=\frac{x+b^2}{2}[/tex]
Hence, option (2) is true.
A store charges customers $85 for a video game. This is 170% of what the store paid for the game.
How much did the store pay for the game?
How much money does the store profit (make) off of the sale of a video game?
Answer:
100÷170×85=$50
85-50=$35
find the determinant of the following matrix. [2 3] [1. 4]
The determinant of a 2x2 matrix is defined as
[tex]\left|\begin{array}{ccc}a&b\\c&d\end{array}\right|=ad-bc[/tex]
So, in your case, the determinant is
[tex]2\cdot 4-1\cdot 3 = 8-3=5[/tex]
Given matrix is:
[tex]\begin{bmatrix}2 & 3 \\ 1 & 4\end{bmatrix}[/tex]As we know that,
→ [tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix} = ad -bc[/tex]
then,
The determinant will be:
= [tex]2\times 4-1\times 3[/tex]
= [tex]8-3[/tex]
= [tex]5[/tex]
Thus the above response is correct.
Learn more about determinant here:
https://brainly.com/question/20333341
48 ounces of liquid detergent
for $6.19
Find the unit rate
Answer:
Step-by-step explanation:
48/6.19=7.7544
Round that answer so it’s 7.75
Unit rate is $7.75 per ounce
heights of adults women have a mean of 63.6 in and a standard deviation of 2.5 indies chebyshevs theorem say about the percentage of women with heights between 58.6 and 68.6in
Answer:
Chebyshev's Theorem (Tchebysheff's Theorem) suggests that this percentage would be greater than [tex]75\%[/tex].
Step-by-step explanation:
Let [tex]Y[/tex] be a random variable with a mean of [tex]\mu[/tex] and a (finite) variance of [tex]\sigma[/tex]. By Chebyshev's Theorem, for any constant [tex]k[/tex] where [tex]k > 0[/tex]:
[tex]\displaystyle P\left(\left|Y -\mu\right| \le k\, \sigma\right) \ge 1 - \frac{1}{k^2}[/tex].
In this question, let [tex]Y[/tex] denote height (in inches.) Accordingly, [tex]\mu = 63.6[/tex] whereas [tex]\sigma = 2.5[/tex].
Note, that the interval of interest [tex](58.6,\, 68.6)[/tex] is centered at [tex]\mu = 63.6[/tex]. Besides, the difference between [tex]\mu[/tex] and either endpoints of this interval is equal to [tex]5.0[/tex], which is the same as [tex]2\, \sigma[/tex].
Rewrite the interval [tex](58.6,\, 68.6)[/tex] as [tex](63.6 - 2\times 2.5,\, 63.6 + 2 \times 2.5)[/tex].
For the height [tex]Y[/tex] of one such individual, [tex]Y \in (58.6,\, 68.6)[/tex] is equivalent to [tex]\left|Y - 63.6\right| < 2 \times 2.5[/tex]. With [tex]\mu = 63.6[/tex] whereas [tex]\sigma = 2.5[/tex], that expression is equivalent to [tex]\left|Y - \mu \right| < 2\, \sigma[/tex].
The percentage of individuals with a height in the interval [tex](58.6,\, 68.6)[/tex] would be equal to the probability [tex]P(\left|Y - \mu \right| < 2\, \sigma)[/tex].
Compare this expression to Chebyshev's Theorem. Notice that [tex]k = 2[/tex]. Therefore:
[tex]\displaystyle P\left(\left|Y -\mu\right| \le 2\, \sigma\right) \ge 1 - \frac{1}{2^2} = 0.75[/tex].
In other words, at least [tex]75\%[/tex] of the heights would be between [tex]58.6[/tex] inches and [tex]68.6[/tex] inches.
Luke has 9/10 yard of colored ribbon. He plans to cut the ribbon into pieces. Each piece will be 1/6 yard long. How many whole pieces can luke make from the ribbon?
Answer:
He can make 5 ribbons and 2/5 yards is left over.
Step-by-step explanation:
It is given that,
Length of the colored ribbon = 9/10 yards
Luke plans to cut the ribbon into pieces.
Each piece will be 1/6 yard long.
We need to find the number of pieces that Luke can made from the ribbon. Let he can make x pieces.
[tex]x=\dfrac{\dfrac{9}{10}}{\dfrac{1}{6}}\\\\=\dfrac{9}{10}\times 6\\\\=5.4\\\\=5\dfrac{2}{5}[/tex]
It means he can make 5 ribbons and 2/5 yards is left over.
Item 8 Starting at 1:00 p.M., the temperature changes −4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours x it will take to reach −1°F. An equation is ? =−1. It will take hours to reach −1°F.
Answer:
The answer is "9".
Step-by-step explanation:
Given equation:
[tex]\to 35-4x=-1 \\\\\to 35+1 = 4x\\\\\to 36=4x\\\\\to 4x= 36\\\\\to x=\frac{36}{4}\\\\\to x=9[/tex]
F∝a If F=48 when a=4 find, F when a=5
Step-by-step explanation:
48/4 = F/5
Therefore F is 60 when a is 5.
The price of a video game is $55.00. The Gamer Stop is offering a 50% discount on the
video game. What is the sale price of the game?
PLEASE HELP!!!! It would be greatly appreciated
Answer:
$27.50
Step-by-step explanation:
55*50%
=55*1/2
=55/2
=27.5
Answer:
27.5
Step-by-step explanation:
50 divided into 2 is 20.50
5 divided by 2 is 2.50
What is an equation in slope-intercept form of the line that passes through (6, −7) and is perpendicular to the line shown below?
Answer:
A. [tex]\displaystyle y = -\frac{1}{2} x -4[/tex]
Step-by-step explanation:
Equation of a Line
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where:
(h,k) is a point through which the line passes.
The line we are looking for has a slope defined for the fact that is perpendicular to the line shown in the graph.
Two perpendicular lines with slopes m1 and m2 satisfy the equation:
[tex]m_1m_2=-1[/tex]
We'll find the slope m1 of the given line and then solve the above equation for m2:
[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]
The line of the graph passes through two clear points (-3,-3) and (0,3). Let's calculate the slope.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m_1=\frac{3+3}{0+3}=\frac{6}{3}=2[/tex]
Now we calculate the second slope:
[tex]\displaystyle m_2=-\frac{1}{2}[/tex]
We use the point-slope form, given the point (6,-7):
[tex]\displaystyle y + 7 = -\frac{1}{2} ( x - 6 )[/tex]
Operating the parentheses:
[tex]\displaystyle y + 7 = -\frac{1}{2} x +\frac{1}{2}\cdot 6 )[/tex]
Simplifying:
[tex]\displaystyle y = -\frac{1}{2} x +3-7[/tex]
A. [tex]\mathbf{\displaystyle y = -\frac{1}{2} x -4}[/tex]
What is a positive infinitesimal quantity?
Answer:
it is a number that is a infinite in its size (infintely big,infintely small, ect.)
Step-by-step explanation:
a great example of this is the number 0
A bag of rice weighs 20 kg more than one of sugar. If 50 kg of sugar is added to the second bag, its weight becomes twice that of the bag of rice. Find the weight of the bag of rice
A map has a scale of 4 cm : 4 km. If
Union and Clayton are 8 km apart, then
they are how far apart on the map?
Answer:
If Union and Clayton are 8 km apart, it means they are 8 cm far apart on the map.
Step-by-step explanation:
Map scale = 4 cm : 4 km
Hence,
1 cm : 1 kmGiven that Union and Clayton are 8 km apart.
Since 1 km is scaled as 1 cm on the map.Therefore, if Union and Clayton are 8 km apart, it means they are 8 cm far apart on the map.
jamie is making chocolate cupcakes. the recipe calls for 2/3 cup of cocoa. she wants to make 1/2 of the recipe. how much cocoa will she need?
Answer:
I think its 1/3
Step-by-step explanation:
I don’t get it , can somebody help me please don’t give me the wrong answer
Answer:
D) 132
Step-by-step explanation:
y + 3x = 180 {Co interior angles}
y = 180 - 3x ------------(I)
7x + 20 = y {Vertically opposite angles}
7x + 20 = 180 - 3x {From equation (I)}
7x + 3x +20 = 180
10x + 20 = 180
10x = 180 -20
10x = 160
x = 160/10
x = 16
Plug in x = 16 in equation (I)
y = 180 - 3x
= 180 - 3*16
= 180 - 48
y = 132
write and equation of the line below
Answer:
y = 1/4x + 0 or just y = 1/4x
Step-by-step explanation:
First I need the slope so I look at the dots and see how much boxes it goes up and then to the side. So it’s up 2 to the side 8. The slope would be 2/8 but you can simply it by 2 and you get 1/4. And the y intercept is given its zero.
Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 34 of a cup. How many people can Clancy invite to his party if he needs a serving of yogurt as well?
Answer:
564 people
Step-by-step explanation:
Total cups of yogurt to share = 423 cups
Each guests get = 3/4 of a cup per serving
How many people can Clancy invite to his party if he needs a serving of yogurt as well?
Number of people Clancy can invite to his party = Total cups of yogurt to share / servings per guests
= 423 cups ÷ 3/4 cups
= 423 × 4/3
= 141 × 4
= 564
Number of people Clancy can invite to his party = 564 people
А 65° B 45° 70°
answer this for me please
Answer:
"With the high level of interest in our 45-70
Step-by-step explanation:
Which is the following is a solution to the solution to the inequality 2x+y > 0
HELP PLEASE!!!!! I NEED HELP!!!!!
Answer: it B
Step-by-step explanation: if it wrong sorry and please don't report me
Answer:
17/8
Step-by-step explanation:
PLEASE ANSWER ASAP!
LOOK AT THE PIC ATTACHED:
(please show work!)
¿Por qué la luna no se sale de su órbita y siempre gira en torno a la tierra?
Answer:
El período de rotación de la luna no siempre era igual a su órbita alrededor del planeta. Al igual que la gravedad de la luna afecta las mareas del océano en la Tierra, la gravedad de la Tierra afecta a la luna. Pero debido a que la luna carece de un océano, la Tierra tira de su corteza, creando un maremoto en la línea que apunta hacia la Tierra.
Step-by-step explanation:
Answer:
Porque la gravidad de la tierra es mas fuerte que la gravidad the la luna.
Step-by-step explanation:
HELP ASAP PLEASE & THANK U!!!!
Answer:
1. (1, -3.5)
2. (-9, 25) *note, there is a typo in the question, please ask your teacher about this
Step-by-step explanation:
Use the midpoint formula to calculate the midpoint.
Use the formula to find the end point, and double the distance between your endpoint and midpoint to find the other endpoint.
Since the distance between the x coordinate is 8 (from -1 to 7), then the other endpoint is 8 away from -1, or -9.
please give thanks :)
The mean (average) weight of three dogs is 38 pounds. One of the dogs, Shaggy, weighs
46 pounds. The other two dogs, Eda and Bruno, have the same weight. Find Eda's weight.
How many solutions does the system have?
You can use the interactive graph below to find the answer.
2x+3y=-6
3x-4y=-12
A: exactly one solution
B: no solutions
C: infinitely many solutions
Answer:
1 solution
Step-by-step explanation:
when you graph it, there is only one point in the line that you can see matches up
Which of the following values could x represent in the bar diagram?
PLEASE HELP!!! Worth 27 points!!
Answer:
$48. is correct answer friend
Step-by-step explanation:
OK please follow me