Answer:
[tex]\sqrt{106}[/tex] or 10.29563
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]
d = distance
[tex](x_{1}, y_{1})[/tex] = coordinates of the first point
[tex](x_{2}, y_{2})[/tex] = coordinates of the second point
Answer:
[tex]\displaystyle d = \sqrt{106}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-2, -8)
Point (7, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(7--2)^2+(-3--8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(9)^2+(5)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{106}[/tex]If x = 0 and y > 0, where is the point (x,y) located?
Answer: it would be 13
Step-by-step explanation:
Jimmy purchased a package of jelly beans that contained 75 jellybeans. Out of the 75 jellybeans, 8 are pink, 17 are orange, 22 are red, 18 are green, 6 are white and 4 are black.Jimmy later noticed that the package of jellybeans contained a hole and two jellybeans dropped out of the package while he was walking home.
Find completion to question in comment section.
Answer:
D. One of the jellybeans that slipped out was orange and one was black
Step-by-step explanation:
We calculate the option with the highest probability of occurrence :
Total number of jellybean = 75
n(T) =75
n(Pink) = 8
n(red) = 22
n(Orange) = 17
n(green) = 8
n(white) = 6
n(black) = 4
We assume that the jelly beans must have slipped out one after the other.
Evaluating the options :
A.)
P(pink) and P(white)
8/75 * 6/74 = 0.0086486
B.)
P(green) and P(green)
8/75 * 7/74 = 0.0100900
C.)
P(white) and P(white)
6/75 * 5/74 = 0.0054054
D.)
P(orange) and P(black)
17/75 * 4/74 = 0.0122522
From the probability values obtained, the highest is D. Hence, the most likely to have occurred is One of the jellybeans that slipped out was orange and one was black
3/4 of the shirts in a store are black. 50% of the shirts are white and the remaining 12 shirts are red. How many black masks are in the store
Answer:
There are total 96 shirts out of which 72 are black and 12 are white and 12 are red.
Step-by-step explanation:
Let the total number of shirts be x.
Then 3/4= 0.75 shirts are black
50% or 50/100 =0.5 of 1/4 ( 1-3/4) remaining are white
and 12 are red
x= 0.75x+0.125x+12
x= 0.875x+ 12
x-0.875x= 12
0.125x= 12
x= 12/0.125
x= 96
There are total 96 shirts out of which 3/4 are black
96*0.75= 72 are black and
96*0.25= 24 are left behind out of which 50% are white.
12 are white and 12 are red.
Which graph below shows the equations y=|x| and y=3|x| for the interval -3< x <3?
Answer:
Answer
I think the choose (2)
Answer:
I think so I will not be back
Which of the following is an inscribed angle in the diagram below?
Answer:
A
Step-by-step explanation:
Solve for r
5/12 · r = 10/11
Write your answer as a fraction or as a whole or mixed number.
r = ___
Answer:
r = 2 2/11
Step-by-step explanation:
5/12 · r = 10/11
Multiply each side by 12/5 to isolate r
(12/5) *5/12 · r = 10/11* 12/5
r = 12/11 * 10/5
r = 12/11*2
r = 24/11
r = 2 2/11
Answer:
11/24
Step-by-step explanation:
Multiply both sides of this equation by 12/5 to isolate r:
(5/12)(12/5)
r = ------------------ = 55/120
(12/5)(10/11)
r = 55/120 = 11/24
Find the tangents of the acute angles in the right triangle. Write each answer as a fraction.
Hi there! Look at the attachments along with my explanation. Before we are going to answer your problem, we need to know the basic Trigonometric Ratio first.
tanA = opposite/adjacentNow see my attachments. The first attachment is the original image from your problem.
The second attachment is when we draw to focus on angle H (in a better perspective)
The third attachment is when we draw to focus on angle G in a better perspective.
Now that we know tanA = opposite/adjacent
Define A = any angles.
Therefore,
tanH = 1/2
tanG = 2/1 = 2
Answer
tanG = 2tanH = 1/2Given a mean of 75 and a standard deviation of 7,
how many students out of 500 would score higher
than 68?
Answer:
421 students out of 500 would score higher than 68
Step-by-step explanation:
P(X>68) = normalcdf(68,100,75,7) = 0.841 = 84.1%
Therefore, 84.1% of 500 students is 421 (remember to round up).
There are 421 students out of 500 who would score higher than 68 if the mean is 75 and the standard deviation is 7.
What is the standard deviation?
The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.
Given a mean of 75 and a standard deviation of 7,
Mean μ = 75
SD σ = 7
By using the normal distribution,
P(X > 68) = P( z > (68-μ)/σ)
P(z > 1)
By using z-table, we get
= 0.8413
Therefore, 84.1% of 500 students is 421 (rounded to the nearest integer).
Hence, 84.1% of students out of 500 would score higher than 68.
To learn more about standard deviation click here:
brainly.com/question/23907081
#SPJ2
1) Solve for Side A.
2) Solve for Angle B.
Best answer will receive Brainliest.
solution given;
let
AB=a
AC=b=30ft
AB=c=20ft
<A=115°
By using Cosine rule.
a²=b²+c²-2bc cos angle
a²=30²+20²-2*30*20 Cos 115°
a²=1807.1419
a=√[1807.1419]
a=42.51
Side A is 42.51ft.
Again
Cos B=[tex] \frac{a²+c²-b²}{2ac} [/tex]
Cos B=[tex] \frac{42.51²+20²-30²}{2*42.51*20} [/tex]
Cos B=0.7687
<B=Cos -¹(0.7687)
<B=39.46°
Angle B is 39.46°
Question 1 (1 point)
Find the total amount due on a loan of $600 at 1696 interest at the end of 15 months using the simple interest formula.
Answer:4T
Step-by-step explanation:
T
1
Evaluate: 1+- 22-3
2
When solving the equation 4x + 10 = 13x - 10, I should add 4x to both sides of the equation
O True
O False
The owner of a snow-cone stand used gallon of syrup to make 16 cherry snow cones. She used the same amount of syrup in each snow cone. How much syrup in gallons was used in each cherry snow cone?
A.1 gal
В.4 gal
C.1/64 gal
D.64 gal
it is the c.1/64 gal
hello and this is the answer 1/64 gal
Someone please help me
Answer:
pictures is not showing
Answer:
the question wont load, im sorry qwq
Step-by-step explanation:
Hi! Does anyone know the answer to this question? I’m bad at geometry and I’m struggling to get the answer. Please help!
Step-by-step explanation:
It is because of Angle-Angle Similarity.
Angle EDC = Angle CAB [Perpendicular, 90°]
Angle ECD = Angle ACB [Vertically Opposite Angles]
So,
Triangle ADC ~ Triangle BAC
Hope it helps :)
Answer:
Because of AA postulate
Step-by-step explanation:
[tex] In\: \triangle ABC\: \&\:\triangle DEC[/tex]
[tex] \angle CAB \cong \angle CDE[/tex] (Right angles)
[tex] \angle ACB \cong \angle DCE[/tex] (Vertical angles)
[tex] \therefore \triangle ABC \sim \triangle DEC[/tex] (AA postulate)
A triangular prism has a volume of 2400 cm3. The base of the prism has an area of 300 cm2. What is its height?
Answer: 8 cm
Step-by-step explanation:
Given
Triangular Prism has a volume of [tex]2400\ cm^3[/tex]
The base of the prism has an area of [tex]300\ cm^2[/tex]
Volume is the product of the base area and height of the prism i.e.
[tex]\Rightarrow 2400=300\times h\\\\\Rightarrow h=\dfrac{2400}{300}\\\\\Rightarrow h=8\ cm[/tex]
Thus, the height of the prism is 8 cm.
If your initial principal is $243 and your principal in 2 years is $1,359.19, how much interest did you earn?
Answer: $1,116.19
Step-by-step explanation:
If you invested $243 and this increased to $1,359.19 in two years, the difference between your investment and its current worth is the interest:
= Current principal - Initial principal
= 1,359.19 - 243
= $1,116.19
BRAINLIEST TO FIRST CORRECT ANSWER!! A rectangle on a coordinate plane has vertices L(0, 6), M(8, 6), N(8, 0), and O(0, 0). What are the dimensions of the rectangle?
Answer:
Dimensions of the rectangle are:
Wedth= 6
Length= 8
Alex drew a quick sketch of the outline of his garden. What is the area of the garden in square meters
Answer:
218
Step-by-step explanation:
What is the vertex of y=x2 – 2x + 3?
O (-1,3)
O (1, 2)
O (3, 1)
O (2, -1)
Answer:
vertex = (1, 2 )
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² - 2x + 3 ← is in standard form
with a = 1, b = - 2 , then
x = - [tex]\frac{-2}{2}[/tex] = 1
Substitute x = 1 into the equation for corresponding value of y
y = 1² - 2(1) + 3 = 1 - 2 + 3 = 2
vertex = (1, 2 )
**find x**
…………………….
Answer: 9/2
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so:
[tex]\frac{x}{6}=\frac{3}{4}\\\\x=\frac{18}{4}=\boxed{\frac{9}{2}}[/tex]
easy algebra question below first correct answer gets brainliest
What is the measure of <4 if the measure of <1 = 110°?
A.50°
B.70°
C.110°
D.180°
Answer:
look at the picture i have sent
Simplify the following expression.
(10m – 7)^2
Answer:
Step-by-step explanation:
100m2-140m+49
A toy company used 18 pints to make 9 action figures, which is a rate of _ pints per figure
Answer:
For 1 figure, 2 pints are used
Step-by-step explanation:
9 figures = 18 pints
1 figure = 18/9
1 figure = 2 pints
Hope this helps!
The chess club decided to raise money with a car wash. They spent $27 on supplies
and charged $5 for each car they washed. Which graph models the chess club's profit
based on the number of cars washed?
Answer: Thanks!
Step-by-step explanation:
Answer:
Thx!!!
Step-by-step explanation:
I got it right!
Which of these choices show a pair of equivalent expressions? Check all that
apply.
Answer:
B and C
Step-by-step explanation:
A-P-E-X
HELP What is r and t
Answer:
t=6
r=3√ 2
Step-by-step explanation:
30,60,90 triangle so hypotenuse = 2 x small side. In this case the small side is 2 so 2x3=6. Long side is equal to small side times √ 2. Therefore, it will be 3√ 2.
If this helps please mark as brainliest
Can someone help me please
Answer:
I believe the answer is 2. You may want to get a second opinion though because Im not sure
find the product of (x+2y)^2
Answer:
x^2 + 4xy + 4y^2
Step-by-step explanation:
hope this helps
Answer:
x² + 4xy + 4y²
Step-by-step explanation:
(x + 2y)²
= (x + 2y)(x + 2y)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 2y) + 2y(x + 2y) ← distribute parenthesis
= x² + 2xy + 2xy + 4y² ← collect like terms
= x² + 4xy + 4y²
