Answer:
7
Step-by-step explanation:
i hope this is right, I did the math
Graph the image of the given triangle after the transformation with the rule (x, y)→(x+3, y−5).
Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.
Answer:
Step-by-step explanation:
The town of KnowWearSpatial, U.S.A. Operates a rubbish waste disposal facility that is overloaded if its 4749 households discard waste with weights having a mean that exceeds 27.21 lb/wk. For many different weeks, it is found that the samples of 4749 households have weights that are normally distributed with a mean of 26.86 lb and a standard deviation of 12.82 lb. What is the proportion of weeks in which the waste disposal facility is overloaded? P(M > 27.21) =
Answer:
0.48911
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score, = 27.21 Ib
μ is the population mean = 26.86 lb
σ is the population standard deviation. = 12.82 lb
z = 0.027301
Probability value from Z-Table:
P(x<27.21) = 0.51089
P(x>27.21) = 1 - P(x<27.21) = 0.48911
The proportion of weeks in which the waste disposal facility is overloaded is
0.48911
find the equation of the line. use exact numbers
Answer:
[tex]y = 0.5x + ( - 3)[/tex]
or
[tex]y = 0.5x - 3[/tex]
In the adjoining equilateral [tex] \triangle[/tex] ABC , AD ⊥ BC and AC = 2a units. Prove that sin 60° = [tex] \sf{ \frac{ \sqrt{ 3} }{2} }[/tex] .
Answer:
See Below.
Step-by-step explanation:
Since ΔABC is an equilateral triangle, this means that ∠A, ∠B, and ∠C all measure 60°.
Furthermore, all sides of the triangle measure 2a.
We know that AD⊥BC. Since this is an equilateral triangle, any altitude will be a perpendicular bisector. Therefore, BD = DC, ∠CAD = 30° and ∠C = 60°.
Additionally, the measures of the segments are: BD = DC = (2a) / 2 = a.
Let’s use the right triangle on the right. Here, we have that DC = a and AC = 2a.
Recall that sine is the ratio of the opposite side to the hypotenuse. Therefore, sin(C) or sin(60°) will be AD / AC. We can find AD using the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
a is DC, b is AD, and c is AC.
Substitute in appropriate values:
[tex]a^2+(AD)^2=(2a)^2[/tex]
Solve for AD:
[tex]\displaystyle \begin{aligned} a^2+(AD)^2&=4a^2\\(AD)^2&=3a^2\\AD&=\sqrt{3a^2}=a\sqrt{3}\end{aligned}[/tex]
Sine is the ratio of the opposite to the hypotenuse:
[tex]\displaystyle \sin(C)=\sin(60\textdegree)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
Substitute:
[tex]\displaystyle \sin(60\textdegree)=\frac{AD}{AC} = \frac{a\sqrt{3}}{2a}[/tex]
Simplify. Hence, regardless of the value of a:
[tex]\displaystyle \sin(60^\circ)=\frac{\sqrt3}{2}[/tex]
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
( 1, -2)
step-by-step explanation:
original coordinates of C: (4, -2)if reflected over y-axis: use the formula: (x,y) → (-x,y)
new coordinates: (-4, -2)then if translated 5 units horizontally, there will be change in x axis:
new coordinates: (-4+5, -2) → ( 1, -2)The total weight of 15
chairs is 45 pounds.
How many pounds
would 40 chairs weigh?
Someone help, 3x-5+23x-9
Answer:
26x - 14
Step-by-step explanation:
3x - 5 + 23x - 9
26x - 5 - 9
26x - 14
Answer:
26x - 14
Step-by-step explanation:
3x - 5 + 23x -9
3x +23x - 9 - 5
26x - 14
PLEASE HELP
Study the diagram of circle K, where JL and LM are tangent to circle K at points J and M, respectively. Also, JL=3x+10 and ML=7x−6.
What is the length of LM?
17.6
16
4
22
Answer:
LM = 22
Step-by-step explanation:
Tangents to a circle from an external point to the circle are congruent , that is
ML = JL , substitute values
7x - 6 = 3x + 10 ( subtract 3x from both sides )
4x - 6 = 10 ( add 6 to both sides )
4x = 16 ( divide both sides by 4 )
x = 4
Then
LM = 7x - 6 = 7(4) - 6 = 28 - 6 = 22
The cost of labor for servicing cars at B&B Automotive is $50 for each whole hour or for any fraction of an hour. There is a $25 additional charge to get the oil changed & fluid checked. What would be the cost of servicing a car that required 3.45 hours of labor if the owner requested that the oil be changed and the fluids be checked? a. $100 c. $225 b. $175 d. $250
Answer:
d. $250Step-by-step explanation:
We can use the equation of a straight line to model the cost of servicing the car.
let the cost be y and the number of hours be x
and the charge per hour is m
y=mx+c
y=50x+25
given that the time is 3.45 hours it is assumed that the charge is for 4 hours since for a fraction of 0.45 hours we are charged $50
y=50(4)+25
y=200+25
y=$225
solve by substitution
y=-2x + 3
y=2x-1
Answer:
Answer is in the picture bro.
Step-by-step explanation:
A car travels 60km/h and then a further 180km at 160km/h find the total time taken
Answer:
30
Step-by-step explanation:
Hi I am so not helpful do not use this answer
Help please! Thank you!
Answer:
The answer would be x = 20. First, you must set up a proportion, since you know that the two polygons are similar: 12/48 • 5/x. Then, you have to do cross multiplication which would result in 12x = 240. Afterwards, you must divide both sides by 12, giving you x = 20.
Q1. Find the square root of the following by division method
i ) 9801
I'm not sure if this is how you want it to be done.
7. Find the value of x. Round to the nearest tenth of a unit. (2 points)
27°
work:
21
х
X =
Answer:
41.2
Step-by-step explanation:
By the alternate interior angles theorem, the angle of depression is congruent to the angle of elevation.
This means that tan(27)=21/x.
x(tan 27)=21
x=21/(tan 27), which is about 41.2
Kim and her mom have some items to donate to families in need for Christmas baskets. They have 100 rolls and 25 pumpkin pies. They want every basket to be exactly the same, and they don't want any leftover food. What is the largest number of baskets that they can make?
Answer:
There will be 25 baskets each container 4 rolls and 1 pumpkin
Step-by-step explanation:
Rolls = 100
Pumpkins = 25
To make every basket to be exactly the same number of rolls and pumpkins,
Find the highest common factor of 100 and 25
100 = 1, 2, 4, 5, 10, 25, 50, 100
25 = 1, 5, 25
The highest common factor of 100 and 25 is 25
Rolls = 100
= 100/25
= 4
Pumpkins = 25
= 25/25
= 1
Therefore,
There will be 25 baskets each container 4 rolls and 1 pumpkin
70% of the shoes in the UK are made abroad. if you survey 120 people about the shoes they are wearing, how many do we expect to have UK-made shoes?
Answer:
84
Step-by-step explanation:
70% of 120= 84
what is e( f + g) as a distributive property and in expanded form?
Someone please help me
Answer:
lemon pie is 7.5 and blueberry is 4.5
Step-by-step explanation:
Amanda has a bookcase with 30 books. There are 3 shelves in the bookcase. Each shelf has the same number of books. How many books does each shelf have?
Answer:10 books per shelf
Step-by-step explanation:
30 books
3 shelves
30x3=10
10 books per shelf
-3=2+a/11
pls pls pls help
Answer:
a=-55
Step-by-step explanation:
-3=2+a/11
-3=1/11 a+2 simplify
flip
1/11 a+2=−3
1/11 a+2−2=−3−2 subtract 2
1/11 a=−5
11*(1/11 a)=(11)*(−5) multpily both sides by 11
a=-55
Which is equivalent to represent by the table
A dessert has both fruit and yogurt inside.
Altogether, the mass of the dessert is 185g.
The ratio of the mass is 2:3.
What is the mass of the yoghurt?
Answer:
74g:148g
Step-by-step explanation:
If the yogurt portion is 3, then your answer is 148g.
You have a total of 5 portions (2+3=5). Since all portions must be equal, you can divide the total (185g) by 5. That means each portion is 37g each. To find the total weight of the yogurt, we multiply by the number of portions, either 2 or 3. That would be your result.
PLS HELP ME
Aisha divides 1/5 meter of ribbon into 2 equal pieces.
What is the length of each piece of ribbon?
Enter your answer as a fraction in simplest form by filling in the boxes.
⊆⊇ m
⊂⊃
Step-by-step explanation:
[tex] \frac{ \frac{1}{5} }{2} = \frac{ \frac{1}{5} }{ \frac{2}{1} } [/tex]
Multiply means by means and extremes by extremes to get;
[tex] \frac{1}{10} \: \: \: meters[/tex]
Let's divide
1/5÷21/5×1/21/5(2)1/100.1mhelp would be greatly appreciated:)
Answer:
I have no idea
Step-by-step explanation:
Ian is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 2 t-shirts, and 3 pairs of shoes. How many different outfits does Ian have to choose from?
Answer:
He has four outfits if he switches shirts once.
BRAINLIEST!!
please help!! i need this question/problem answered with a COMPLETE solution!!
giving brainliest to who answered completely!!
Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot?
The area of a rectangular door is given by the trinomial x2 – 14x + 45. The door's width is
(x - 9). What is the door's length?
find x with reason(s)
Answer:
Well we know this is a parallelogram
-A theorem states that if both opposite side of a quadrilateral (4 sided shape) are congruent then it’s a parrlelogram.
-We also know this is a rhombus becuase all sides are congruent and has no right angle present. A theorem to support this is, If two consecutive sides of a parallelogram are congruent, then the parallelogram is a a rhombus.
So we’re trying to find x.
A theorem states that “The diagonals of a rhombus bisects two angles of the rhombus.”
Bisect means cut in a way that both angles are equal.
That means the two angles given have to be equal to each other.
We can make an equation.
110-x = x
Now solve
2x= 110
X= 55
X would equal 55
x=55
HELP QUICKLY!!
10+(28-8)/4
Answer:
15Step-by-step explanation:
The order of operations is the key to solving this problem.
The PEMDAS acronym stands for:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
10+(28-8)÷4
First, solve parenthesis.
[tex]\sf{10+(28-8)\div4}[/tex]
[tex]\sf{28-8=20}[/tex]
Rewrite the problem down.
[tex]\sf{10+20\div4}[/tex]
Then, divide.
20/4=5
Rewrite the problem down.
10+5
Add.
[tex]\sf{10+5=\boxed{\sf{15}}[/tex]
So, the correct answer is 15.
I hope this helps you! Please let me know if my answer is incorrect.
Answer:
[tex]\displaystyle 15[/tex]
Step-by-step explanation:
[tex]\displaystyle Grouping\:Symbols \hookrightarrow G \\ Exponents, Indices, or\:Radicals \hookrightarrow E \\ Multiplication\:and/or\:Division \hookrightarrow M \\ Subtraction\:and/or\:Addition \hookrightarrow S \\ \\ 10 + (28 - 8) \div 4 \hookrightarrow 10 + 20 \div 4 \\ \\ \boxed{15} = 10 + 5[/tex]
By using GEMS, the result is fifteen.
I am joyous to assist you at any time.