Answer:
[tex] x = \dfrac{5}{2} \pm {\dfrac{\sqrt{57}}{2} [/tex]
Step-by-step explanation:
[tex] x^2 - 5x = 8 [/tex]
[tex] x^2 - 5x + \dfrac{25}{4} = 8 + \dfrac{25}{4} [/tex]
[tex] (x - \dfrac{5}{2})^2 = \dfrac{57}{4} [/tex]
[tex] x - \dfrac{5}{2} = \pm \sqrt{\frac{57}{4}} [/tex]
[tex] x = \dfrac{5}{2} \pm {\dfrac{\sqrt{57}}{2} [/tex]
A group of students must collect at least 5120 to organize a science fair. They have already collected $40. Which graph best represents the possible amounts of money the
students still need to collect
HHH
++
.
20 40
60
1000 14001
+++
++
20 40
600 100 120 5401600
AHH
206000 470018
Answer:i believe its c
Step-by-step explanation:its the only graph that starts on 40
Look at the image below, please! (I mark brainliest!)
Answer:
C, D, E
Step-by-step explanation:
10% of 33 is the same as the following, 0.1 * 33, 1/10 * 33, and 10/100 * 33, because they are all multiplying 33 by 0.1
I will try and give Brainliest
Answer:
[tex] \boxed{A. \: 134 \: in³} [/tex]
Explanation:
Volume of a cone: ⅓πr²h.
Where r is the radius, and h is the height.
The diameter is twice (2 times) the radius.
(⅓)(π)(4²)(16) – (⅓)(π)(4²)(8) =
256 / 3 π – 128 / 3 π =
128 / 3 π =
42 ⅔ π = 134.041287... ≈ 134 in³
What is the surface area of the figure? 408ft^2 458ft^2 545ft^2 720ft^2
9514 1404 393
Answer:
(b) 458 ft²
Step-by-step explanation:
The total area is the sum of the L-shaped front and back areas and the areas of the 6 rectangular faces.
The front L-shaped area can be considered to be a 12 ft × 12 ft square with a 5 ft × 7 ft rectangle cut from the upper left corner. Its area is then ...
(12 ft)(12 ft) -(5 ft)(7 ft) = (144 -35) ft² = 109 ft² . . . . front area
__
The sum of the areas of the rectangular faces is the product of the width of the figure (5 ft) and the perimeter of the L-shaped face. That perimeter is the sum of the edge lengths. Starting from the lower-left corner and working clockwise, we find the perimeter to be ...
7 ft + 7 ft + 5 ft + 5 ft + 12 ft + 12 ft = 48 ft
Then the sum of rectangular face areas is ...
(48 ft)(5 ft) = 240 ft² . . . . rectangular face area
The total surface area is then ...
2×front area + rectangular face area
= 2×109 ft² +240 ft² = 458 ft² . . . . total surface area
Use exponents to rewrite this expressions: 2 × 2 × 2 × 2 × 4 × 4 × 4
Answer:
2^10
Step-by-step explanation:
Please answer or give the steps to answer please please please this is my state test and i can’t fail
Answer:
1. 466.3ft
2. 12.1m
Step-by-step explanation:
1.
Imagine this as a triangle like shown in pic attached, then use tan to find 'x', the distance between the base of the tower and the fire:
tanA=opposite/adjacent
tan25=x/1000
x=100tan25
x=466.3ft
2.
Imagine this as a triangle like shown in pic attached, then use sine to find 'x', the kite's vertical height above the boy's hand:
sinA=opposite/hypotenuse
sin12=x/50
x=50sin12
x=10.4m
The kite's height off the ground is this plus the height of the boy's hand from the ground: 10.4+1.7=12.1m
help me pls pls pls PPPPPPPPPPPPPPPLLLLLLLLLLLLLLLLSSSSSSSSSSSSSSSSS
Required area = 9× 5 + 6×3
= 45+18
= 63
33
3
Solve the proportion.
р
28
Answer:
p = 308
Step-by-step explanation:
What is the first quartile of 13,25,25,29,18,15,32
Answer:
The first lower quartile is 15
The median is 25
Step-by-step explanation:
Asap
It is for past paper that is due in tomorrow 29th
Answer:
(i) 22.5
(ii) 7.2
Step-by-step explanation:
(i)
AB:PQ = 2:5 = 1:2.5
So PQ is 2.5 times longer than AB.
PQ=2.5AB=(2.5)9=22.5
(ii):
Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:
QR=2.5BC
BC=QR/2.5=18/2.5=7.2
Which one of the following U.S. customary units is closest in volume to I liter?
Answer:
c
Step-by-step explanation:
Quart is one of the following U.S. customary units is closest in volume to 1 liter. Option D is correct.
What is volume?The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The relation between the quart and the liter is found as;
1 quarts = 0.94635295 liters
The value in liter is approximately equal to 1. Quart is one of the following U.S. customary units is closest in volume to 1 liter.
Hence,option D is correct.
To learn more about the volume refer:
https://brainly.com/question/1578538
#SPJ2
dot plot shows the number of siblings each student has do at least 50% of students have more than 2 siblings? how do you know?
Answer:
Yes, because 2, 3, and 4 siblings added together will pass half of 20 ( the total of everything).
Step-by-step explanation:
Which equation has the same solutions as 2x + x - 3 = 0?
(1) (2x - 1)(x + 3) = 0 (3) (2x - 3)(x + 1) = 0
(2) (2x + 1)(x – 3) = 0 (4) (2x + 3)(x - 1) = 0
Answer:
1 and 4 has same pairs of solution.
Step-by-step explanation:
Solutions for the given equations are:
\begin{gathered}1. (x+6)(x - 6) = 0\\(x+6) = 0, (x-6) = 0\\x = -6, x = 6\\\\2. (x + 6)(x + 6) = 0\\(x+6) = 0, (x+6) = 0\\x = -6, x = -6\\\\3. (x - 6)(x - 6) = 0\\(x-6) = 0, (x-6) = 0\\x = 6, x = 6\\\\4. (2x + 12)(2x - 12) = 0\\(2x+12) = 0, (2x-12) = 0\\x = -6, x = 6\\\\5. (2x - 12)(x - 12) = 0\\(2x-12) = 0, (x-12) = 0\\x = 6, x = 12\\\\6. (x+12)(x - 12) = 0\\(x+12) = 0, (x-12) = 0\\x = -12, x = 12\\\\7. (x +12)(x-6) = 0\\(x+12) = 0, (x-6) = 0\\x = -12, x = 6\end{gathered}
1.(x+6)(x−6)=0
(x+6)=0,(x−6)=0
x=−6,x=6
2.(x+6)(x+6)=0
(x+6)=0,(x+6)=0
x=−6,x=−6
3.(x−6)(x−6)=0
(x−6)=0,(x−6)=0
x=6,x=6
4.(2x+12)(2x−12)=0
(2x+12)=0,(2x−12)=0
x=−6,x=6
5.(2x−12)(x−12)=0
(2x−12)=0,(x−12)=0
x=6,x=12
6.(x+12)(x−12)=0
(x+12)=0,(x−12)=0
x=−12,x=12
7.(x+12)(x−6)=0
(x+12)=0,(x−6)=0
x=−12,x=6
(x+6)(x - 6) = 0 and (2x + 12)(2x - 12) = 0 have same pair of solutions.
Step-by-step explanation:
there you go :)
The area of the figure below is ___ cm2. Round to the nearest hundredth where necessary. PLEASE HELP! WILL MARK BRAINLIST! THANK YOU!
Answer:
20.9
Step-by-step explanation:
its the same as the other side, don't think to much about it
Answer:
20.9 Is the right answer
Step-by-step explanation:
hope this helps
Identify whether the following equation has a unique solution, no solution, or infinitely many solutions. 3 + 5= 8
Answer:
to me it's a simple solution
Step-by-step explanation:
HELP I NEED ANSWERS NOW
Answer:
I am not sure but I think it is c
Step-by-step explanation:
PLEASEE HELP
EXTRA POINTS
BRAINLIEST
Painter Pete uses a ladder to reach a second story window on the house he is
painting. The bottom of the window is 20 feet above the ground. The foot of the
ladder 15 feet from the house. How long is the ladder?
Answer:
25 feet
Step-by-step explanation:
20^2 + 15^2 = 625
square root of 625 is 25
Answer:
that's a big ladder
35ft
Step-by-step explanation:
convert the following recurring decimal to a rational number 0,72
Answer:
The repeating decimal 0. 72 can be written as a ratio of two integers with numerator 8 and denominator 11 as the numerator and denominator, respectively. As a result, it is a logical number (named after ratio). If a number's decimal representation repeats or terminates, it may be seen to be rational.
Step-by-step explanation:
0.72 equals 8 /11
as a fraction.
How do you turn 0.72 repeating into a fraction?
Detailed Answer:
Step 1: To convert 0.72 repeating into a fraction, begin writing this simple equation:
n = 0.72 (equation 1)
Step 2: Notice that there are 2 digits in the repeating block (72), so multiply both sides by 1 followed by 2 zeros, i.e., by 100.
100 × n = 72.72 (equation 2)
Step 3: Now subtract equation 1 from equation 2 to cancel the repeating block (or repetend) out.
100 × n = 72.72
1 × n = 0.72
99 × n = 72
72 /99
could be the answer, but it still can be put in the simplest form, i.e., reduced.
To simplify this fraction, divide the numerator and denominator by 9 (the GCF - greatest common factor).
n = 72
99 = 72 ÷ 9
99 ÷ 9 = 8 11 .
So, 0.72 = 8 /11
as the lowest possible fraction.
_____________________________________
(hope this helps can i plz have brainlist :D hehe)
WILL MARK BRAINLIEST PLS HELP ME
Answer:
c 480 square inches your welcome
Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
5 tenths + 8 hundreths
Answer:
50,800
Step-by-step explanation:
Solve each of these equations. Explain or show your reasoning.
2(x+5)=3x+1
3y−4=6−2y
3(n+2)=9(6−n)
PLZ HELP!!! NO LINKS OR NON-ANSWERS!!!!!!!
I literally just did this lol ( b d and e) i did it on paper
Branliest will be helpful
Thx
One number is six less than a second number. Six times the first is 10 more than 4 times the second. Find the numbers
The value of the first number is
Answer:
1st number = 17
2nd number = 23
Step-by-step explanation:
x = 1st number
y = 2nd number
x = y - 6
6x = 10 + 4y
substitution method:
6(y - 6) = 10 + 4y
6y - 36 = 10 + 4y
2y - 36 = 10
2y = 46
y = 23
find 'x':
x = 23 - 6
x = 17
How do I solve for x?
Answer:
x = 4.8
Step-by-step explanation:
Since quadrilateral JKLM and PQRS are similar toe ach other, therefore the ratio of their corresponding sides are equal.
Thus:
QP/KJ = PS/JM
Substitute
8/5 = x/3
Cross multiply
5*x = 3*8
5x = 24
x = 24/5
x = 4.8
Pedro is building a playground in the shape of a right triangle. He wants to know the area of the playground to help him decide how much sand to buy. Compose the playground and a matching triangle into a rectangle. What are the dimensions of the rectangle? H= 4 1/3yd L=18yd
Answer:
it equals 39 yd²
Step-by-step
Area= 1/2 base= 18 height= 4 1/3
multiply 1/2 x 18 = 9
9 x 4 1/3= 39
the answer is 39 yd²
What is the area in square feet of the ceilling
Find 50% of 108:
Find 25% of 108:
Find 75% of 108:
Answer:
50% of 108: 54
25% of 108: 27
75% of 108: 81
Step-by-step explanation:
Hope this helps have a nice day
Answer:
50% : 54
25% : 27
75% : 81
Step-by-step explanation:
If you multiply by the decimal version of the precentages, you will get the remaining amount of how much it is. so to find 50% of 108, you do 108 * 0.50 and it will give you the 50% of 108.
Given these 2 map diagrams which is a function and why?
A bag contains 8 blue coins and 10 red coins. A coin is removed at random and replaced by three of the other color.
Part 1 out of 3
What is the probability that the removed coin is blue? Enter your answer as a simplified fraction. (PLEASE HELP)
Answer:
Wait can you re expain in the comments
Step-by-step explanation: