Answer: 280
Step-by-step explanation:
Remember the rounding rule -
If it is 5 or more, you round it up, if it is 4 or less, you round it down.
283 rounded to the nearest ten is 280.
6-√8 divide √2-1
this is rationalising surd question I did it and my answer is not right so could someone do this to me and show your working out
thanks
Answer:
4[tex]\sqrt{2}[/tex] +2
Step-by-step explanation:
[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex]
=[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex] ×[tex]\frac{\sqrt{2}+1}{\sqrt{2}+1}[/tex]
=[tex]\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}[/tex]
=6[tex]\sqrt{2}[/tex] + 6 -[tex]\sqrt{8}\sqrt{2}[/tex] - [tex]\sqrt{8}[/tex]
=6[tex]\sqrt{2}[/tex] + 6 - 4 - [tex]\sqrt{8}[/tex]
=6[tex]\sqrt{2}[/tex] + 2 - [tex]\sqrt{8}[/tex]
=6[tex]\sqrt{2}[/tex] + 2 - 2
=4[tex]\sqrt{2}[/tex] +2
for [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex] ,
[tex]\sqrt{8}[/tex] = [tex]\sqrt{2*2*2}[/tex]
= ([tex]\sqrt{2}[/tex])^2 × [tex]\sqrt{2}[/tex]
=2 ×[tex]\sqrt{2}[/tex]
Zan has created this rule for generating sequences of whole numbers. If a number is 25 or less, double the number. If a number is more than 25, subtract 12 from it. For example, if Zan starts with 10, she gets the sequence 10, 20, 40, 28, 16,... If the third number in Zan's sequence is 36, what is the sum of the four distinct numbers that could have been the first number in her sequence
Answer:
123
Step-by-step explanation:
Given that:
Method to generate the sequence:
If a number is less than or equal to 25, then the number is doubled.
And if the number is more than 25, then 12 is subtracted from it.
Here, we are given a sequence with its third number is 36.
Now, let us have a look by making the number 36 as half of its value.
[tex]\frac{36}{2}[/tex] = 18
This could have been the second number in the.
According to this, the first number will be [tex]\frac{18}{2} = \bold{9}[/tex]
Other option for the first term can be 18 + 12 = 30
By second method, the second method can be:
36 + 12 = 48
By this method, First number 48 + 12 = 60
Other option for first number can be [tex]\frac{48}{2 } = \bold{24}[/tex]
Therefore, sum of four options of first term:
9 + 30 + 60 + 24 = 123
which is the galaxy is the closest to our galaxy at the moment
Which expression is equivalent to 6(2x + 4)
Answer:
12x+24
Step-by-step explanation:
by multiplying the number 6 into the term inside of the bracket gives 12x + 24
Please help me thank you I appreciate it
Answer:
68°
Step-by-step explanation:
PRQ = SRQ gives:
3x-8 = 2x+6
x = 6+8 = 14
So PRQ = SRQ = 34
and
PRS = PRQ+SRQ = 68
24x2+10x-4
Please help me
Answer:
the answer is 8!
Step-by-step explanation:
hope this helped! <3
Find an equation of the line that has a slope of -1 and a y intercept of 6. Write your answer in the form y=mx+b
Answer:
y = -x + 6
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = -1
y-intercept b = 6
Step 2: Write Equation
Substitute in variables into the general form
y = -1x + 6
y = -x + 6
Answer is :
y = -x + 6!!!!
Step-by-step explanation:
plzplzplz helllllllllllppppppppppppppppppppppppppppp mmmmmmmmmmmeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee please
Answer:
what do you need help with
What is the slope for these graphs ?
A store is having a sale. All items for sale are discounted 15%. If the regular price of a bedspread is $45, what is the sale price?
(I NEED THIS QUICK)
Answer:
$38.25
Step-by-step explanation:
45 × 0.15 = 6.75
45 - 6.75 = 38.25
The sale price of the item will be $38.25
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a store is having a sale. All items for sale are discounted by 15%. the regular price of a bedspread is $45,
The discounted price will be calculated as:-
45 × 0.15 = 6.75
45 - 6.75 = $38.25
Therefore, the sale price of the item will be $38.25
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
Graph: y = 3/4 x + 5
Click or tap the graph to plot a point.
Answer:
Put the dot on the 5 on the Y-axis
Step-by-step explanation:
Put the initial dot on the 5 on the y-axis (vertical), then it's rise over run if plotting a line. Since it's 3/4 you would go up 3 and over to the right four. You can get the rest of the line by going down 3 from the initial point on five, down left 3.
An office supply company conducted a survey before marketing a new paper shredder designed for home use. In the survey, 80% of people used the shredder were satisfied with it. Because of the high acceptance rate, the company decided to make the new shredder. Assume that 80% of all people who use it will be satisfied. On a certain day 7 customers bought the shredder.
Let x denote the number of customers in this sample of 7 who will be satisfied with this shredder. Using the binomial probabilities table, obtain the probability distribution of x and fill in the table
x 0 1 2 3 4 5 6 7
p(x)(for each number)
Answer:
Probability distribution of x
Step-by-step explanation:
Binomial Probability = N c x . (P)^x . (Q)^ n-x
N = Total trials, 7 customers here ; P = Prob of success, 0.80 satisfied here ; x = No. of success (1....7) ; Q = Prob of fail, 0.20 not satisfied here
P (x = 1) = 7c1 (0.80)^1 (0.20)^7 = 0.00035
P (x = 2) = 7c2 (0.80)^2 (0.20)^6 = 0.0043
P (x = 3) = 7c3 (0.80)^3 (0.20)^5 = 0.0286
P (x = 4) = 7c4 (0.80)^4 (0.20)^4 = 0.1146
P (x = 5) = 7c5 (0.80)^5 (0.20)^3 = 0.2752
P (x = 6) = 7c6 (0.80)^6 (0.20)^2 = 0.3670
P (x = 7) = 7c7 (0.80)^7 (0.20)^1 = 0.2097
what are the first 3 composite numbers that are multiples of 4 and greater than 10.
Answer:
12, 16, and 20
Step-by-step explanation:
These are the answers because:
1) Composite numbers mean numbers that are divisible by more than two numbers (1 and itself).
2) Multiples of 4 that are greater than 10 are: 12, 16, and 20 because they are all divisible by more than two numbers, they are greater than 10, and they are mutiples of 4. You can check if they are multiples of 4 by skip counting or multiplying: 4, 8, 12, 16, 20 or 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20.
Therefore, the answers are: 12, 16, and 20
Hope this helps! :D
Answer:
12, 16, 20
Step-by-step explanation:
I answered before but for some reason, my answer was deleted. The other person deserves brainliest though, they gave the best answer.
What is the Slope for these graph ?
Answer:
The slope of the first graph is [tex]\frac{2}{3}[/tex] and the slope of the second graph is [tex]\frac{4}{2} = 2[/tex]
Step-by-step explanation:
First Graph
1. use rise over run to find the slope
2. the line goes up 2 numbers before it touches again
3. the line goes ever 3 numbers before it touches again
Second Graph
1. use rise over run to find the slope
2. the line goes up 4 numbers before touching again
3. the line goes over 2 numbers before touching again
The Data set shows the test scores for the mid-year exam for two different periods.
Period 1: 72, 75, 65, 80, 86, 60, 83
Period 3: 64, 93, 73, 57, 70, 59, 69 S
(10 Points)
What is the IQR for period 1?
answers:
I think it is 80
What is the solution to the following system x+y+z=6 and x-y+z=8 and x+y-z=0
Answer:
[tex]\boxed{x = 4, ~y = -1,~ and~z = 3}[/tex]
.
Step-by-step explanation:
(eq-1) → x + y + z = 6
(eq-2) → x - y + z = 8
(eq-3) → x + y - z = 0
.
Eliminate eq-1 and eq-3
[tex]x + y + z = 6[/tex]
x + y - z = 0
[tex]2z = 6[/tex]
[tex]z = \frac{6}{2}[/tex]
[tex]z = 3[/tex]
.
Eliminate eq-1 and qe-2
[tex]x + y + z = 6[/tex]
x - y + z = 8
[tex]2y = -2[/tex]
[tex]y = \frac{-2}{2}[/tex]
[tex]y = -1[/tex]
.
Substitute the value of z and y to on of equations
[tex]x + y + z = 6[/tex]
[tex]x + (-1) + 3 = 6[/tex]
[tex]x + 2 = 6[/tex]
[tex]x = 6 - 2[/tex]
[tex]x = 4[/tex]
Answer:
The solution for the following system is: [tex]\mathbf{x=4, y=-1, z=3}[/tex]
Step-by-step explanation:
We need to find the solution to the following system.
[tex]x+y+z=6 \ and \ x-y+z=8 \ and \ x+y-z=0[/tex]
Let:
[tex]x+y+z=6 --eq(1)\\ x-y+z=8 --eq(2)\\ x+y-z=0--eq(3)[/tex]
Adding eq(1) and eq(2)
[tex]x+y+z=6 \\x-y+z=8 \\-------\\2x+2z=14 --eq(4)[/tex]
Adding eq(2) and eq(3)
[tex]x-y+z=8 \\ x+y-z=0\\-------\\2x=8\\x=8/2\\x=4[/tex]
We get value of x=4
Now, putting value of x in eq(4) to find value of z
[tex]2x+2z=14\\Put x=4\\2(4)+2z=14\\8+2z=14\\2z=14-8\\2z=6\\z=6/2\\z=3[/tex]
We get value of z=3
Now, putting value of x and z in eq(1) to find value of y
[tex]x+y+z=6\\Put \ x=4, z=3\\4+y+3=6\\y+7=6\\y=6-7\\y=-1[/tex]
So, value of y=-1
The solution for the following system is: [tex]\mathbf{x=4, y=-1, z=3}[/tex]
can you help me please
Answer:
Please check the explanation.
Step-by-step explanation:
Given that
|v|=38
Ф = 120°
Finding the horizontal component
The horizontal component can be obtained using the formula
Vx = |v| cos Ф
= 38 cos 120°
= 38 (-0.5)
= -19
Thus, the horizontal component is:
Vx = -19
Finding the vertical component
The vertical component can be obtained using the formula
Vy = |v| sin Ф
= 38 sin 120°
= 38 (0.86)
= 32.68
Thus, the vertical component is:
Vy = -19
A vector 'v' with magnitude |v| and direction Ф can be written as:v = |v| cos Ф i + |v| sin Ф j
As
|v|=38
Ф = 120°
Thus, the vector is
v = 38 cos 120° i + 38 sin 120° j
or
v = -19 i + 32.68 j
What is the square root of 49?
Answer:
7
Step-by-step explanation:
7×7=49
.............
Answer:
The answer is 7.
7² is equals to 49.
Can I get him with all the questions please?
Answer:
[tex]14.16\\15. a) 14[/tex]
Step-by-step explanation:
[tex]14. We\ are\ given\ that,\\The\ assumed\ number\ x\ is\ 4\ more\ than\ 12\\Hence,\\x=4+12\\x=16\\Lets\ see\ that\ x=16\ as\ a\ solution,\ matches\ with\ the\ other\ information\ provided.\\We\ are\ also\ given\ that,\\x<20, 16\ is\ less\ than\ 20\ too.\\x>13, 16\ is\ greater\ than\ 13\ too.\\x<17, 16\ is\ less\ than\ 17\ too.\\As\ all\ the\ conditions\ are\ satisfied,\ x=16\ as\ a\ solution\ is\ verified.\\[/tex]
[tex]15. a)\\Let\ the\ assumed\ no.\ be\ y\\Here,\ we\ are\ given\ the\ following\ information\ about\ y:\\y>10,\\y<20\\y>12\\y<15\\Hence,\\The\ number\ y\ lies\ in\ between\ 12-15.\\Hence,\\y\ could\ either\ be\ 13,14.\ But\ the\ phrase\ 'Of\ the\ numbers\ are\ left\\ I\ am\ the\ greater\ number', tells\ us\ that,\ y\ is\ the\ greater\ no.\ among\ 13\ and\ 14.\\Hence\ as\ 14>13,\\y=14[/tex]
help??
Anyone??
need it asap
8th grade math
Answer:
8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(m - 8)² × n
m = 10
n = 2
Step 2: Evaluate
Substitute: (10 - 8)² × 2(Parenthesis) Subtract: 2² × 2Exponents: 4 × 2Multiply: 8Answer:
8 is the answer
Step-by-step explanation:
cause (10-8)=2 then 2x2=4 then 4x2=8
sorry if i did ths wrong i am only in 7th grade
Help me please thank you so much if you did
Answer:
I just answed this question today!Your asnwer is 144.
Step-by-step explanation:
1:5:3
48 total.
Divide 48 and get 16
Multiply 16 x1
Multiply 16 x5
Multiply 16x 3
16:80:48
ANYBODY KNOW THIS????
Answer:
The length of BD equals 7.4
Step-by-step explanation:
We can use the pythagorean theorem to solve this.
This is the pythagorean theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Let's solve.
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} + {3}^{2} = {8}^{2} \\ {a}^{2} + {9} = {64} \\ \frac{ \: \: \: \: \: \: - 9 = - 9}{ {a}^{2} = \sqrt{55} } \\ a = 7.4[/tex]
Therefore, The length of BD = 7.4.
Help pls .. Determine if the two triangles are congruent. If they are , state how you know.
A. SAS
B. AAS
C. Not enough information
D.SSS
Answer:
C. not enough info
Step-by-step explanation:
Since the indicated angle in the triangle on the left is between the two sides that are marked congruent, and the marked angle on the triangle on the right is not between the two marked sides, there is not enough information to say whether the two triangles are congruent or not.
The force of gravity affects the mass of an object. True or False
Step-by-step explanation:
True
and the more mass the object had the greater gravitational force it is
P. S my opinion
Cara measured 8 2/3 yards of cloth she the cut it into 4 equal pieces. what was the length of each piece of cloth?
Answer:
2.16
Step-by-step explanation:
8 2/3 / 4 or 8.166/4
= 2.16 (don't round up because they all have to be equal)
The angle of elevation from me to the top of a hill is 51 degrees. The angle of elevation from me to the top of a tree is 57 degrees. The tree stands 20 ft off the hill. How high is the top of the tree from the base of the hill?
Answer:
Approximately [tex]101\; \rm ft[/tex] (assuming that the height of the base of the hill is the same as that of the observer.)
Step-by-step explanation:
Refer to the diagram attached.
Let [tex]\rm O[/tex] denote the observer.Let [tex]\rm A[/tex] denote the top of the tree.Let [tex]\rm R[/tex] denote the base of the tree.Let [tex]\rm B[/tex] denote the point where line [tex]\rm AR[/tex] (a vertical line) and the horizontal line going through [tex]\rm O[/tex] meets. [tex]\angle \rm B\hat{A}R = 90^\circ[/tex].Angles:
Angle of elevation of the base of the tree as it appears to the observer: [tex]\angle \rm B\hat{O}R = 51^\circ[/tex].Angle of elevation of the top of the tree as it appears to the observer: [tex]\angle \rm B\hat{O}A = 57^\circ[/tex].
Let the length of segment [tex]\rm BR[/tex] (vertical distance between the base of the tree and the base of the hill) be [tex]x\; \rm ft[/tex].
The question is asking for the length of segment [tex]\rm AB[/tex]. Notice that the length of this segment is [tex]\mathrm{AB} = (x + 20)\; \rm ft[/tex].
The length of segment [tex]\rm OB[/tex] could be represented in two ways:
In right triangle [tex]\rm \triangle OBR[/tex] as the side adjacent to [tex]\angle \rm B\hat{O}R = 51^\circ[/tex].In right triangle [tex]\rm \triangle OBA[/tex] as the side adjacent to [tex]\angle \rm B\hat{O}A = 57^\circ[/tex].For example, in right triangle [tex]\rm \triangle OBR[/tex], the length of the side opposite to [tex]\angle \rm B\hat{O}R = 51^\circ[/tex] is segment [tex]\rm BR[/tex]. The length of that segment is [tex]x\; \rm ft[/tex].
[tex]\begin{aligned}\tan{\left(\angle\mathrm{B\hat{O}R}\right)} = \frac{\,\rm {BR}\,}{\,\rm {OB}\,} \; \genfrac{}{}{0em}{}{\leftarrow \text{opposite}}{\leftarrow \text{adjacent}}\end{aligned}[/tex].
Rearrange to find an expression for the length of [tex]\rm OB[/tex] (in [tex]\rm ft[/tex]) in terms of [tex]x[/tex]:
[tex]\begin{aligned}\mathrm{OB} &= \frac{\mathrm{BR}}{\tan{\left(\angle\mathrm{B\hat{O}R}\right)}} \\ &= \frac{x}{\tan\left(51^\circ\right)}\approx 0.810\, x\end{aligned}[/tex].
Similarly, in right triangle [tex]\rm \triangle OBA[/tex]:
[tex]\begin{aligned}\mathrm{OB} &= \frac{\mathrm{AB}}{\tan{\left(\angle\mathrm{B\hat{O}A}\right)}} \\ &= \frac{x + 20}{\tan\left(57^\circ\right)}\approx 0.649\, (x + 20)\end{aligned}[/tex].
Equate the right-hand side of these two equations:
[tex]0.810\, x \approx 0.649\, (x + 20)[/tex].
Solve for [tex]x[/tex]:
[tex]x \approx 81\; \rm ft[/tex].
Hence, the height of the top of this tree relative to the base of the hill would be [tex](x + 20)\; {\rm ft}\approx 101\; \rm ft[/tex].
^^^^^^^^^^^^^^^^^^uuuuu
Answer:
Step-by-step explanation:
Top triangle:
The hash marks indicate congruence. So, x is congruent to 15 or x= 15
x+6= 21
The length of the sides of this triangle are 15,15, and 21.
Two sides are congruent so isosceles.
Bottom triangle:
The sum of the angles in a triangle is 180.
30+35+x=180
75+x=180
x=105
105> 90, so this is an obtuse triangle.
Answer:
Step-by-step explanation:
Top triangle
good luck God bless merry Christmas and happy new year and stay safe and good luck in life! God bless y’all! :)
The answer to a subtraction problem
Answer:
The answer in a subtraction problem is called the difference.
Step-by-step explanation:
Hi there!
The answer to a subtraction problem is called rest or difference while the top thats being subtracted is called the minuend and the middle one is called the subtrahend.
JANITIA IS 15 YEARS OLD AND HER BROTHER IS 5 YEARS. WHAT IS THE RATIO OF JANTIA AGE TO HER BROTHER AGE
PLEASE ANSWER MY QUESTION
Answer:
3:1
Step-by-step explanation:
15:5 = 3:1
Answer:
3:1
Step-by-step explanation:
15:5
3:1
i think this is the answer
34203985.2 write this as a cash price in dollars
Answer:
$34,203,985.20
Step-by-step explanation: