Step-by-step explanation:
(3y=9+3)(8x-6y=-4)
(3y=12)(8x-6y=-4)
(y=12÷3)(8x-6y=-4)
(y=4)(8x-6y=-4)
Now putting the value of y in (8x-6y=-4)
8x-6*4=-4
8x-24=-4
8x=24-4
8x=20
x=20/8
x=5/2
given : PK and PL - tangent
KM perpendicular KP
angle KML = 50°
Solve - angle KPL
Please help me with how to solve this, thanks!
Answer:
∠KPL = 80°
Step-by-step explanation:
As KM is perpendicular to KP, this means that KM is the diameter of the circle, as the tangent of a circle is always perpendicular to the radius.
The angle at the circumference in a semicircle is always a right angle. So if KM is the diameter then ΔKLM is a right triangle with ∠KLM = 90°
The sum of the interior angles of a triangle is 180°.
Therefore, ∠KLM + ∠KML + ∠LKM = 180°
As ∠KLM = 90° and ∠KML = 50°
⇒ 90° + 50° + ∠LKM = 180°
⇒ ∠LKM = 40°
As ∠PKM = 90° then
⇒ ∠PKL = 90 - ∠LKM
= 90 - 40
= 50°
Tangents from a common point to a circle are always equal in length, so as PK and PL are tangents from point P, then PK = PL
Therefore, ΔLPK is an isoceles triangle and so its base angles ∠PKL and ∠PLK will be equal.
Since ∠PKL = 50° then ∠PLK = 50°
Again, as the sum of interior angles of a triangle is 180°:
⇒ ∠KPL + ∠PKL + ∠PLK = 180°
⇒ ∠KPL + 50° + 50° = 180°
⇒ ∠KPL = 80°
Find the volume of the prism please help and hurry
Answer:
volume is 360 i hope i uelped u
HELP ME OUTT PPL (BRAINIEST)
Answer:
(0, 6)
Step-by-step explanation:
Point T is at (3, 4), and three units to the left would be (0, 4). They then tell us to go two points up, which would change the ordered pair to (0, 6).
I hope this was helpful! Have a lovely day! :D
Convert the binary number 1101001 to decimal.
Answer:
105
Step-by-step explanation:
Answer:
105
Step-by-step explanation:
Decimal calculation steps
(1101001)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (105)₁₀
Rearrange the equation and solve for x.
2 = x2 + 6x + 11
Answer:
-3
Step-by-step explanation:
It's a lot of work, I'm not typing that into here
Q
Match the definition on the left to its corresponding geometric figure on the right
A zero-dimensional object that defines a specific location on a plane
A one-dimensional figure, which extends without end in two
directions
A finite section of a line between any two points that lie on the line
A half-line that begins at one point and goes on forever in one
R
direction
A two-dimensional surface that continues infinitely
Point: is a zero-dimensional object that defines a specific location on a plane. Also, it's represented by using a small dot.
What is a geometric figure?A geometric figure can be defined as the forms of different dimensional objects that are formed through a combination of lines, planes or points.
In Geometry, the following terminologies and definitions are used to describe a geometric figure:
Point: is a zero-dimensional object that defines a specific location on a plane. Also, it's represented by using a small dot. ⇒Image 4.Line: is a one-dimensional figure which extends without end in two (2) directions. ⇒Image 5.Line segment: is a finite section of a line that exist between any two (2) points that lie on the line. ⇒Image 1.Ray: is a half-line that starts at one (1) point and goes on infinitely (forever) in one (1) direction. ⇒Image 3.Plane: is a two-dimensional surface that continues infinitely (forever). ⇒Image 2.Read more on lines here: https://brainly.com/question/1655368
In a school theater performance, 150 tickets were sold, some for $30 and others for $20, how many tickets were sold of each price if the total sale was $3,500?
Answer:
85 tickets for 20 dollars and 60 for 30
Step-by-step explanation:
my smart friend in AP calc said so
two sides of a parallelogram are 5.8m and 8.2m long. Find the perimeter
Answer:
5.8+5.8+8.2+8.2=28m
Step-by-step explanation:
If you want to find the PERIMETER you just need to add up the length of all of the sides. No multiplication needed. Just add the numbers. Don’t forget that there are multiple sides so even though only two are labeled dont forget to add every single side that the shape has.
Convert 6 2/3 % to a fraction lowest terms
Answer:
109/150
Step-by-step explanation:
Answer: 109/150
6% = 6/100
6/100 = 18/300 (Multiply Numerator and Denominator by 3)
2/3 = 200/300 (Multiply Numerator and Denominator by 100)
200/300 + 18/300 = 218/300
218/300 = 109/150 (Simplify by Dividing Numerator and Denominator by 2)
What is the smallest angle of a right triangle with sides 9, 40, and 41? Round your answer to the nearest degree, and enter the number only.
Answer: 13°
Explanation: x = tan^-1 ( 9/40) ≈ 13°
1 point
Item at position 12
Find x and the measure of angle P.
x =
Question Blank 1 of 2
type your answer...
,
angle P =
Question Blank 2 of 2
type your answer...
degrees
Answer:
Step-by-step explanation:
Angle sum property of triangle: Sum of all angles of triangle is 180
∠P + ∠Q + ∠R = 180
10x - 4 +4x - 22 + x +11 = 180
10x + 4x + x - 4 - 22 + 11 = 180
Combine like terms,
15x - 15 = 180
Add 15 to both sides
15x = 180 + 15
15x = 195
Divide both sides by 15
x = 195/15
x = 13
∠P = 10x - 4
= 10*13 - 4
= 130 -4
∠p = 126°
Total price of all shares algebraically when g shares of stock for w dollars per share is purchased, when shares sold when they earned a 40% capital gain?
Question:
Zeke bought g shares of stock for w dollars per share. His broker told him to sell when they earn 40% capital gain. Express the total price of all shares algebraically when g shares of stock for w dollars per share is purchased, when shares sold when they earned a 40% capital gain?
Answer:
1.40w
Step-by-step explanation:
You are mowing your neighbor's lawn. He is going to pay you $20.00 for the first two hours and $5.00 for anything after that. Which algebraic expression represents how much you will be paid for working h hours?
I NEED THIS ANSWER ASAP!!
Answer:
20+5(x-2) im pretty sure
Step-by-step explanation:
There are 318 calories in six ounces of a certain ice cream. How many calories are there in one pound?
1 pound = 16 ounces
Answer:
795
Step-by-step explanation:
318 x 2 (to get 12 ounces)
636 + (1/2 x318) (to get 3 ounces)
636 + 159 (to get 16 ounce)
795
The number of calories in one pound is 848 calories.
Given that, there are 318 calories in six ounces of a certain ice cream.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let x be number of calories in 1 pound = 16 ounces
Here, 318:6::x:16
⇒ 6x=318×16
⇒ 6x=5088
⇒ x=5088/6
⇒ x=848
Therefore, the number of calories in one pound is 848 calories.
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Please help I will give brainiest pls
Which of the following is the correct factorization of the polynomial below?
2x^2 - 12x + 18
A. 2(x - 3)^2
B. 2(x + 6)(x + 3)
C. (2x + 6)(x + 3)
D. The polynomial is irreducible.
6x + y=4x+ 11y, write a formula for h(x) in terms of x
Answer:
[tex]h(x)=\frac{1}{5}x[/tex]
Step-by-step explanation:
To write a formula for a function, such as h(x), you need to solve for y.
[tex]6x+y=4x+11y[/tex]
[tex]-4x[/tex] [tex]-4x[/tex]
[tex]2x+y=11y[/tex]
[tex]-y[/tex] [tex]-y[/tex]
[tex]2x=10y[/tex]
[tex]/10[/tex] [tex]/10[/tex]
[tex]\frac{2}{10}x=y[/tex]
[tex]y=\frac{1}{5}x[/tex]
y and h(x) mean the same thing, so you can subsitute h(x) for y in order to fit the question.
Therefore, [tex]h(x)=\frac{1}{5}x[/tex]
What is the total number of digits you need to number the pages of a book that has 1450 pages?
Answer: pages 1-1,450
pages 1-9 = 9 digits
pages 10-99 = 90*2 = 180 digits
pages 100-999 = 900*3 = 2,700 digits
pages 1000-1450 = 451*4 = 1,804 digits
sum = 4,693 digits
[90 POINTS] An air conditioning system needed for a new warehouse is built in the shape of a rectangular prism. The warehouse is 250 feet long, 125 feet wide, and 22 feet high. A one-ton air conditioning unit can cool 12,000 cubic feet.
What is the volume of the warehouse, and what size air conditioner is needed?
Answer:
The warehouse has 31,250 cubic feet of space.
The air conditioner has to be at least 55 tons.
Answer:
687,500 for first blank
60 tons for second blank
Step-by-step explanation:
It is correct on edmentum
Ruby is painting her house. She uses 2 2/7 gallons of paint in the living room. To paint the kitchen, Ruby uses 5/8 of the amount of paint she uses in the living room. Which expression can be used to find the number of gallons of paint Ruby uses to paint the kitchen?
Answer:
ur momma
Step-by-step explanation:
yea so you take the 5/8 and the 2 and the 2/7 and you dd then subtract then divide
QUESTION TWO a A Mercedes Benz mechanic, in determining whether to purchase a device of design A or design B, checks the times for completing a certain task on each device. Eight operators were used in the testing, with each operator using both device A and B in a randomized order. The times in seconds) required to complete the task are given in the following tables. B Operator A 1 32 2. 40 3 42 4 26 5 35 6 29 7 45 8 22 aaNION 30 39 42 23 36 27 41 21 a) At alpha level equal to 0.05; test to see if there is a significant difference between mean completion times. (5 Marks) b) Determine the 95% level of confidence interval for the difference between A and B. (5 Marks) .
At alpha level equal to 0.05, there is no significant difference between mean completion times.
How to illustrate the significance level?From the complete information, the test statistic will be:
t = [(33.875 - 32.375) - 0]/8.1472 × ✓0.25
t = 0.3682
The tabulated value is 1.76. Therefore, we will accept the null hypothesis. Therefore, there is no significant difference between mean completion times.
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BRAINLIEST GIVEN)The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Enter your answer in the box.
Answer:
238
Step-by-step explanation:
You have to find the area for each box and then you add all of them together
Answer:
238 mm²
Surface area of rectangular prsim = 2(lw + lh + wh)
Here,
length = 11 mm
width = 4 mm
height = 5 mm
area:
2*(4*11+5*11+5*4)238 mm²Rewrite 4 x 6 2/3 as the product of a unit fraction and a whole number
Answer:
The whole number : 3
Fraction : 2/8
I'm pretty sure this is correct
If f(x) = x^3 - 2x^2 , which expression is equivalent to f(i)?
O -2 + i
O -2 - i
O 2 + i
O 2 - i
[tex]\text{Given that,}~f(x)=x^3-2x^2\\\\f(i)=i^3-2i^2\\\\~~~~~~=i^2 \cdot i -2(-1)~~~~~;[i^2=-1]\\\\~~~~~~=-i+2\\\\~~~~~~=2-i[/tex]
The expression equivalent to f(i) is 2-i.
What is expression?The expression is mathematical statement which consist of variables, numbers and connected by at least one operation.
Given that, a function f(x) = x³ - 2x², we need to find the expression equivalent to f(i),
To find the same we will put x = i,
So,
f(i) = i³ - 2i² [i = √-1]
= (√-1)³ - 2(√-1)²
= -i - 2(-1)
= -i+2
= 2-i
Hence, the expression equivalent to f(i) is 2-i.
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What is the area of the trapezoid?
7 cm
10 cm
6 cm
7 cm
1
13 cm
O A. 43 cm?
O B. 60 cm?
O C. 70 cm?
Answer:
B. 60 cm²
Step-by-step explanation:
The formula for the area of a trapezoid is: [tex]\frac{1}{2}(b_{1} + b_{2} )h[/tex]
Plugging in the given values, we can solve:
[tex]\frac{1}{2} (13+7)(6)\\\\\frac{1}{2}(20)(6)\\\\10(6)\\\\= 60[/tex]
hope this helps!
Number two please asap
J
Step-by-step explanation:
both Rue and Zoe they earned that same amount after working for 4 hours as you see that both line both hit the point (4,24)
Evaluate the expression when a = 6 and x= -5.
-a + 8x
Answer:
-46
Step-by-step explanation:
when a= 6 and ×=-5
-a + 8×= -6+8×-5
= -6+(-40)= -6-40= -46
in 1977, Pistol Pete Maravich led the NBA with 2273 points. In 2006, Kobe Bryant led the NBA with 2832 points. However, there were many differences between basketball in 1977 and basketball in 2006, including the number of teams and possibility of a three-point shot. The mean number of points for the top 110 players in 1977 was 1198 points with a standard deviation of 379 points. The mean nimber of yards for the top 150 players in 2006 was 1123 points with a standard deviation of 433 points. Who had the better performance, Maravich or Bryant? Explain your reasoning.
Using z-scores, it is found that due to the higher z-score, Bryant had the better performance.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The above bullet point means that higher z-scores mean a better performance.For Maravich, we have that the parameters are [tex]X = 2273, \mu = 1198, \sigma = 379[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2273 - 1198}{379}[/tex]
Z = 2.84.
For Bryant, we have that the parameters are [tex]X = 2832, \mu = 1123, \sigma = 433[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2832 - 1123}{433}[/tex]
Z = 3.95.
Due to the higher z-score, Bryant had the better performance.
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what is the answer to this equation help please 25x10x^{6}[/tex]
Answer:
I don't know answer It By Your Self
The slopes of perpendicular lines are ___ ___of each other, which means their products is -1.
A. fractional reciprocals
B. negative reciprocals
C. positive reciprocals
Answer:
Negative Reciprocals
Step-by-step explanation:
Consider two slopes being perpendicular to each other:
[tex]\displaystyle \large{m_1\cdot m_2=-1}[/tex]
You will either receive:
[tex]\displaystyle \large{m_1=-\dfrac{1}{m_2}}[/tex]
or:
[tex]\displaystyle \large{m_2=-\dfrac{1}{m_1}}[/tex]
Say, you want to find perpendicular slope of 4. You have first slope as 4 and another as unknown which is assigned as m variable:
[tex]\displaystyle \large{4m=-1}\\\displaystyle \large{m=-\dfrac{1}{4}}[/tex]
Therefore, 4 and -1/4 are perpendicular to each other. See that one slope is positives while another is negative. If you have negative slope then the perpendicular slope is positive.
Hence, they are indeed reciprocal but also negative as well.
