Answer:
x = -4 + 3√2 and x = -4 - 3√2
Step-by-step explanation:
Complete the square of x^2+8x-2=0:
Between 8x and -2, write in 4^2 - 4^2, so that we now have:
x^2 + 8x + 16 - 16 - 2 = 0, or by writing x^2 + 8x + 16 as the square of a binomial, (x + 4)^2 = 18
Taking the square root of both sides, we get:
x + 4 = √18 = ±√9√2, or ±3√2
Then x = -4 + 3√2 and x = -4 - 3√2
16. Geography If a ship sailed due south from Iceland to Antarctica, it would sail
through an angle of rotation of about 140° around Earth's center. Find this measure in
radians. Then, using 3960 miles for Earth's radius, find how far the ship would travel.
Answer:
9674.28 miles
Step-by-step explanation:
From the above question, we are given:
Central angle = 140°
Radius = 3960 miles
We are to solve for the distance = Arc length
The formula for Arc length when your central angle is in radians
r × θ
θ = 140°
Converting 140° to radians
140° × π/180 = 2.443rad
Hence,
3960 × 2.443 rad
= 9674.28 miles
The ship would travel 9674.28 miles.
A circle of radius 10.5cm has a sector whose angle at the centre is cut off. Find the perimeter of the resulting sector.
The radius of a circle is 7 cm. Find its area in terms of Pi
Answer:
49(pi)
Step-by-step explanation:
Area of a circle = (pi)r squared
= 7 squared (pi)
= 49(pi)
= 49 x pi
Answer:
49(pi)
Step-by-step explanation:
Talitha loves Kpop. She has a total of 32 BTS and BLACKPINK shirts. The amount of BTS shirts she owns is 7 times the amount of BLACKPINK shirts. How many BTS shirts does she own?
Answer:
28
Step-by-step explanation:
4 x 7 = 28
28 + 4 = 32
Answer:
28
Step-by-step explanation:
4 x 7 = 28
28 + 4 = 32
what is the opposite of -18
1. 18
2. 81
3. 8
4. 80
Answer:
18
Step-by-step explanation:
if AB= 2x + 3 and BC= x + 7, find CD explain it too pls
What is this 1=-t-5?
Answer:
t = -6
Step-by-step explanation:
1 = -t - 5
-t = 1 + 5
-t = 6
t = -6
Answer:
t=-6
Step-by-step explanation:
1=-t-5
1+5==-t-5+5
6=-t
t=-6
I will give brainliest please help.
Answer:
135
Step-by-step explanation:
Multiplying the quotient and divisor can give the divended.
So, -9 x -15 = 135
This is same for the other boxes at the top, try multiplying for the other boxes of their quotient and divisor together and you'll get the same number as the divended written on the other boxes.
PLEASE HELP ASAP WILL MARK BRAINLIEST
what is the area of this trapezoid?
Answer:
10.5 units²
Step-by-step explanation:
Area of trapezoid = ½(a + b)h
where,
a = SK = 2 units
b = OC = 5 units
h = SO = 3 units
Plug in the values
Area = ½(2 + 5)*3
Area = ½(7)*3
Area = 10.5 units²
please help! :) I need the answer quick
Answer:no clue
Step-by-step explanation:
i need the points im sorry
Answer:
x ≈ 2.3
Step-by-step explanation:
Given
x³ = 12 ( take the cube root of both sides )
x = [tex]\sqrt[3]{12}[/tex] ≈ 2.3 ( to 1 dec. place )
When you are finding a percent of a number or price, you need to convert the percent to a
Answer:
When you are finding a percent of a number or price, you need to convert the percent to a decimal.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Which quadratic equations have two solutions? Select all that apply.
Estimate the sum Sn of the series whose partial sums are graphed above.
Answer:
C. 15
Step-by-step explanation:
Edge 2021
help please no links please
Answer:
7 muffins
Step-by-step explanation:
9x9=81
88-81=7 muffins
Answer:
7 muffins
Step-by-step explanation:
88 x 9 =
81
81 + 7 = 88
So the Answer is 7
Lower-than-expected demand for LCD TVs has spurred manufacturers to cut prices in recent years. The average price P of a 32-in. LCD TV t years after can be approximated by P(t)(), where t0 corresponds to .
Complete question :
Lower-than-expected demand for LCD TVs has spurred manufacturers to cut prices in recent years. The average price P of a 32-in. LCD TV t years after 2005 can be approximated by P(t) 1052(0.793), where t0 corresponds to 2005 a) What was the average price of an LCD TV in 2005? in 2009? in 2011?
Answer:
1052 ; 416.01 ; 261.61
Step-by-step explanation:
Given the price function :
P(t) = t0(0.793)^t
P(t) = 1052(0.793)^t
Price in 2005 = 1052
The average price of LCD in 2005 is t0
t - t0 = 2005 - 2005 = 0
P(0) = 1052(0.793)^0 ;
P(0) = 1052 * 1 =
Price in 2005 = 1052
Price in 2009 :
t = 2009 - 2005 = 4
P(t) = t0(0.793)^t
P(4) = 1052(0.793)^4
P(4) = 1052 * 0.39534 = 416.0145
Price of LCD in 2009 = 416.01
Price in 2011
t = 2011 - 2005 = 6
P(t) = t0(0.793)^t
P(6) = 1052(0.793)^6
P(6) = 1052 * 0.248679 = 261.6103
Price of LCD in 2009 = 261.61
Sort the data from least to greatest.
276 363 311 253
Find the median number of calls.
Answer:
253,276,311,363 293.5 is the mdien.
Step-by-step explanation:
Answer:
293.5
Step-by-step explanation:
Least to greatest: 253, 276, 311, 363
Median = middle
If there are two middle numbers find the mean of the two numbers.
276 + 311 = 587
587/2 = 293.5
Hope this helps!! Have a great day and remember, you are loved.
Hi! Please explain how you got your answer thanks! :))
Answer:
a + b = 780
Step-by-step explanation:
If we subtract the two equations we can ”eliminate“ a and b and find the value of z.
a-a = 0
b-b = 0
-10z = -700
z = 70
now we have to subistitute this value in the two equations
a + b -4(70) = 500
a + b + 6(70) = 1200
a+b - 280 = 500
a + b + 420 = 1200
If we simplify we have
a + b = 780
a + b = 780
Plz help have to turn in today
Answer:
Function 2
Step-by-step explanation:
slope of Function 1 is 5/8
slope of Function 2 is 3/4, or 6/8
please help me asap ! in a hurry !
Answer: I’m not sure if I’m correct but I’m pretty sure it’s C
helpppp pleaseeee thank you
what is the pathygorean theorum?
who down to ch.at?
Answer:
The sum of the squares of two legs of a right triangle is equal to the square of the hypotenuse (the longest side).
Equation: a^2+b^2=c^2
where a and b are legs and c is the hypotenuse
Answer:
Step-by-step explanation:
sure
PLZ HELP ME I WAS STUCK ON THIS FOR 30 MINS WILL GIVE BRAINLIST
Answer:
Step-by-step explanation:
6^3 is the error, 6^3 is 216.
the correct volume is 904.32
Answer:
Step-by-step explanation:
6³ is not equal to 18, that is 6x3
6³= 6x6x6=216
so the correct volume is V= 904.7 cm³
A triangle has sides with lengths of 5 millimeters, 8 millimeters, and 10 millimeters. Is it a right triangle?
Answer:
It is not.
Step-by-step explanation:
Using the Pythagorean Theorem, a squared + b squared = c squared, we get 25 + 64 = 100, and this is not true.
are these two lines parallel , explain or show your reasoning ?
yes, they arent intersecting and they have the same slope
PLZ!!!!! SOMEONE HELP!!!!!
COULD ANYONE HELPME!!!!!!!! PLZ!!!!!!!!!
Answer:
area of shaded portion of figure = 76.24 cm²
Step-by-step explanation:
find the area of the circle, a 60° segment of the circle, and an equilateral triangle with sides of 5 cm:
area of circle = πr² = (3.14)(5²) = 78.5 cm²
area of 60° segment of circle = 78.5/6 = 13.08 cm²
area of triangle = 1/2(4.33)(5) = 10.82 cm²
The shaded area will be:
full circle area - (60° segment - triangle) = 78.5 - 13.08 + 10.82 = 76.24 cm²
can someone please help me !!!!!
Step-by-step explanation:
14 feet = diameter
7 feet= radius
2r=d
7+7=14
hope this helped !
Solve the system by substitution.
y = 9x
y = 3x – 24
Answer:
-24
Step-by-step explanation:
i dont think this is right answer
hope this helps via substitution process
Sarah needs a PVC pipe with a diameter of 10 inches and a heigh of 2 inches, how much
material is needed to make 5 pipes?
Answer:
314.2in^2
Step-by-step explanation:
GIven data
diameter= 10in
radius= 5in
Height= 2in
The expression for the curved surface area (CSA) of a cylinder is given as
CSA=2πrh
CSA=2*3.142*5*2
CSA=62.84 in^2
The material needed to make one pipe is 62.84in^2
Hence the material need for 5 pipes is
=62.84*5
=314.2in^2
A car is traveling down a road at a constant speed of 50 miles per hour. Write an equation that represents the distance traveled by the car, d, for an amount of time, t
Answer:
distance divided by rate = time aka D/R=T
Step-by-step explanation:
this is what i learned at least hope it helps
The equation that represents the distance traveled by the car is equal to d = 50 x t.
Speed calculation
To calculate the speed of an object, it is necessary to relate the distance traveled and the time required to travel that distance, so that:
[tex]V = \frac{d}t}[/tex]
Thus, as we are given the value of a velocity and if we are asked for the expression that represents the distance traveled depending on the time, we have:
[tex]50 miles/hour = \frac{d}{t}[/tex]
[tex]d = 50 \times t[/tex]
So, the equation that represents the distance traveled by the car is equal to d = 50 x t.
Learn more about speed calculation in: brainly.com/question/12759408
do this and thanks and tell me why you think it was a b or c maybe d
=> B) The amount of popcorn that fits in a particular container.
Explanation:=> The amount of space that a substance or object occupies, or that is enclosed within a container is known as volume. The first & third option measures the surface area while the fourth option measures the distance covered. Thus, the second option (b) is the correct answer.
[tex] \infty \infty \infty [/tex]
Answer:
B. The amount of popcorn that fits in a particular container.
Step-by-step explanation:
Volume is the amount of space that is inside a three dimensional shape. In other words we need a box/container that has empty space in it. That space is the volume. Knowing this we can start eliminating answer. First we can eliminate answer D. This answer makes no sense when comparing it to what is needed for volume. Answer D has to do with distance. Then we can eliminate answer C. This answer does can not work because it says "square inches". This means that it is either the area of a two dimensional shape or it could be the outside of a three dimensional shape. Answer A. is like answer C. It is the outside of a shape and not the inside. That leaves us with answer B. Answer B says "that fits in a particular container". From this we can see that they are fitting something inside a container. These are the key words for volume.