Work out the length x
Answer:
12.1 cm
Step-by-step explanation:
We need to utilise Pythagoras theorem here. Pythagoras states that the 2 legs of the triangle square equal the hypotenuse squared so the formula for this is a² + b² = c²
In the question we are already presented with the hypotenuse so we will have to substitute in the values and rearrange
→ Form equation
7² + b² = 14²
→ Simplify
49 + b² = 196
→ Minus 49 from both to isolate b²
b² = 147
→ Square root both sides to isolate b
b = 12.12435565
The value of x to 1 decimal place is 12.1
A sector has a central angle of 110° and an area of 11pi m squared. What is the arc length for this sector?
Answer:
(11/3)*pi
Step-by-step explanation:
what circle is how bigger?
360/110=36/11
11pi*(36/11)
36pi
radius is 6 (A=r^2*pi)(36 is 6^2)
circumference of a circle is 2pi*r
2pi*6
12pi
what fraction of the circumference is 110?
110/360=11/36
9132/36)*pi
(11/3)*pi
someone please help asap !
Answer:
Step-by-step explanation:
2w-4=10
2w=14
w=7
(2y-5)+67+48=180
2y-5+115=180
2y+110=180
2y=70
y=35
2x+17=(2y-5)
2x+17=(2*35-5)
2x+17=(70-5)
2x+17=65
2x=48
x=24
z=48, since angle BIG is congruent to angle RAC
Compare the values 0.25 and 2/9 using < >, or = MAKE SURE TO SHOW WORK!!
Answer:
0.25 > 2/9
Step-by-step explanation:
When you change 2/9 into a decimal, you get 0.22222222...
Therefor, 0.25 is greater than 2/9
Solve d = rt if r = 46 and t = 5
Hey!!
r=46
t=5
now,
D=RT
= 46*5
=230
the value of d is 230
hope it helps..
Answer:
230 is the answer
Step-by-step explanation:
Since r and t are given in the question as
r=46 and t=5
Substitute the value of r and t which is given in the polynomial
So it'll be,
d=rt
d = 46 x 5
= 230
Therefore d is 230 units
Hope this helps!
Melinda works at a cafe. Each day that she works, she records x, the total dollar amount of her customers’ bills and then y, her total daily wages. The table shows her data for 2 weeks. A 2-column table with 11 rows. The first column is labeled x with entries 50, 100, 75, 80, 90, 140, 150, 95, 125, 160, 165. The second column is labeled y with entries 36, 43, 38, 40, 42, 50, 60, 43, 46, 50, 55. A graph shows the horizontal axis numbered 40 to 160 and the vertical axis numbered 10 to 60. A line increases from 0 to 160. According to the line of best fit, what is the minimum amount, to the nearest dollar, Melinda will earn for each day of work, even if she serves no customers? $18 $26 $36 $40
Answer:
$26
Step-by-step explanation:
In the picture attached, the table, the plot and the line of best fit are shown. There we can see the next equation:
y = 0.177x + 25.936
where x is the total dollar amount of her customers’ bills and then y is her total daily wages.
This means that even if she serves no customers (x = 0) she will earn $26 ($25.936 rounded to the nearest dollar) for each day of work.
Answer:
$26
Step-by-step explanation:
Looking at the graph when x is 0 y is about a little more that 25 but less than 30. Meaning 26 fits the questions answer.
Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces?
Answer:
The answer is "(0,0)"
Step-by-step explanation:
In the given some information is missing that is point so, the correct answer to this question can be described as follows:
book Number = x
overall Book weight = y
Neither x nor y can be negative. We have to be positive values, then.
Since x indicates the number of books, that must be a positive integer. It can not be a decimal number or fractional number.
So the only viable solution from the given options is (0, 0).
Answer:
6 ounces. Which ordered pair is a viable solution if x represents the number of books he orders
Step-by-s6 ounces.
Newton currently has an account balance of $6,225.18. He opened the account 15 years ago
with a deposit of $4,543.11. If the interest compounds daily, what is the interest rate on the
account?
30.3%
7.7%
58.3%
2.1%
Answer: 2.1%
Step-by-step explanation:
r = n [(A/P)^1/nt - 1
In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of rice. How many bags of rice is one fish worth?
Answer:
One fish can be traded for 2 2/3 bags of rice.
Step-by-step explanation:
Key:
F = One fish
L = Loaf of bread
R = Bag of rice
So, with that set we see that:
3F = 2L & L = 4R
2L for 2 x 4 = 8R
So,
3F = 8R OR 3:8 OR 8/3
8/3 = 2 2/3, which is the answer.
The side lengths of a triangle are 6, 8 and 12. Is this a right triangle?
A. Yes, because 6 to the 2nd power + 8 to the 2nd power < 12 to the 2nd power.
B. No, because 6 + 8 ≠ 12.
C. Yes, because 6 to the 2nd power + 8 to the 2nd power = 12 to the 2nd power.
D. No, because 6 to the 2nd power + 8 to the 2nd power ≠ 12 to the 2nd power.
Answer:
No it's not. 6 to the 2nd power + 8 to the 2nd power ≠ 12 to the 2nd power
Step-by-step explanation:
If you square the shorter lengths and add them together, they add up to one hundred
6^2 + 8^2 --> 38 + 64 = 100
Once you square 12 it equals 144
144 does not equal 100. There for it can't be a right triangle. To be a right triangle, it has to have a ratio pf 3: 4: 5.
Ex: 6: 8: 10, 12: 16: 20, etc.
Hope this helps!
Use the Zero Product Property to solve each equation.
2x2 - 5x + 2 = 0
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]4x-5x+2=0[/tex]
Need quick help on this
Answer:
C.
Step-by-step explanation:
I cant really explain it but i had the same question and had the answer worked out on the paper
Hope it helps :3 (tell me if it was right or wrong so i know if i need to fix something later)
Given a segment with endpoint coordinates (0,4) and (-4,-3) find the
coordinates of the midpoint.
Enter the x-coordinate value here
Enter the y-coordinate value here
Answer:
(-2 , 1/2)
Step-by-step explanation:
x = -2
y = 1/2 or 0.5
Another question worth brainliest and 30 points!
But give me correct answers and i’ll give it to u
Write 18 in lowest terms
30
A. 3/10
B. 3/5
C. 4/5
D. 6/10
Answer:
B. 3/5
Step-by-step explanation:
I actually dont know how to explain srry
Answer: B; 3/5
Step-by-step explanation: There are multiple different ways for solving this. We could guess and check, convert into a decimal, and/or percentage. Just to keep things simple, I will be converting these to decimals.
First, 18/30=.6
Now we have to convert the following multiple choice into decimals to find out which is equivalent.
3/10=.3 --> This is not .6 so this is incorrect
3/5=---->.6, so this is one choice we could pick
4/5--->.8, so this is incorrect
6/10---> which is also .6, so this option qualifies.
But then, in the question it states the lowest terms. So your answer would be 3/5.
hope this helps
-Carrie
P.S. be sure to mark BRAINLIEST
Help please!
Which expressions are equivalent to -5/19
Answer:
Options 3, 4, and 5 are all equivalent
The expressions equivalent to -5/19 are options 3, 4, and 5 are all equivalent.
We have given that
-5/19
What is the expression?
An expression is a sentence with a minimum of two numbers and at least one math operation.
1) 5/19
Option 1 is not correct.
2)-5/-19
Implies that 5/19.
Option 2 is also not correct.
3) -5/19
Option 3 is correct.
4) 5/-19=-5/19
This is the correct option.
5)-(5/19)=-5/19
This is also the correct option.
Therefore, the expressions equivalent to -5/19 are options 3, 4, and 5 are all equivalent.
To learn more about the expression visit:
https://brainly.com/question/723406
is a diameter of circle O. If m∠ACB = 30°, what is m∠DBA? A. 30° B. 50° C. 60° D. 70° E. 90°
Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:
DBA = 180 - 90 - 30
DBA = 60
The measure of the angle ∠DBA will be 60°. Then the correct option is C.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The diagram is given below.
BD is the diameter of circle O. If m∠ACB = 30°.
We know that the central angle is double the angle at the periphery that was subtended by the same chords.
∠AOB = 2∠ACB
∠AOB = 2 x 30
∠AOB = 60°
We know that the triangle AOB is an equilateral triangle, in which each angle will be 60°.
Thus, the measure of the angle ∠DBA will be 60°.
Then the correct option is C.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ2
someone plsss help me
Answer:
Step-by-step explanation:
Let
( x1 , y1 ) =( 14 , 22)
( x2 , y2) = ( - 5 , 22)
Now the slope of line is given by
Slope(m)
= ( y2 - y1) / ( x2 - x1)
= ( 22 - 22) / ( -5 - 14 )
= 0/-19
= 0
Hope this helps :)
find the distance between 6,-2 and 1,-2
The distance between (6,-2) and (1,-2) is 5.
Answer:
The distance:
[tex]d = 5[/tex]
Step-by-step explanation:
To find the distance between points [tex](6,-2)[/tex] and [tex](1,-2)[/tex], you need the distance formula:
[tex]d = \sqrt{(x_{2} - x_{2})^{2} + (y_{2} - y_{1})^{2}}[/tex]
-Use the given points [tex](6,-2)[/tex] and [tex](1.-2)[/tex] for the distance formula:
[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]
-Then, solve the formula:
[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]
[tex]d = \sqrt{(-5)^{2} + (0)^{2}}[/tex]
[tex]d = \sqrt{25 + 0^{2}}[/tex]
[tex]d = \sqrt{25 + 0}[/tex]
[tex]d = \sqrt{25}[/tex]
[tex]d = 5[/tex]
So, the distance is [tex]5[/tex].
681/4 i dont know this
Answer:
170.25
Step-by-step explanation:
It's a bit tricky to do not on plain paper, but here:
Just assume the long division symbol looks right
_1_7_0_.25
4 ) 681
-4
2 8
-2 8
0 1
The remainder is "1", so you'll just have to write that as either a fraction or decimal, whatever is assigned.
Fraction: 170 1/4
Decimal: 170.25
The answer is 170.25
please see the attached picture for full solution
hope it helps
Good luck on your assignment
A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd scores a 55 on the test. Select the answer from the drop-down menu to correctly complete the statement. Based on the mean of 70 and his raw score of 55, Todd’s z-score must be
Answer:
Todd's Z-score is - 0.27
Step-by-step explanation:
Explanation:-
Step(i):-
Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.
Mean of the population 'μ' = 70
Standard deviation of the Population ' σ ' = 10
let 'x' be the random variable in normally distributed
Step(ii):-
Given raw score 'x' = 55
Todd's Z-score
[tex]Z = \frac{x-mean}{S.D}[/tex]
[tex]Z = \frac{55-70}{55}[/tex]
Z = -0.27
Final answer:-
Todd's Z-score is - 0.27
The figure is made of rectangular prisms. What is the volume?
6 cm
15 cm
10 cm
3 cm
6 cm
3 cm
3 cm
3 cm
318 cm
225 cm
13
159 cm
Which figure has a greater volume and by how much?
3 cm
3 cm
5 cm
5 cm
8 cm
6 cm
15 cm
15 cm
Figure 1
Figure 2
The volume of figure 1 is 45 cm greater than the volume of figure 2.
The volume of figure 2 is 45 cm greater than the volume of figure 1.
The volume of fioure 1 is 10mg areater than the volume of figure 2
Answer:
Step-by-step explanation:
The volume of figure 1 is 45 cm greater than the volume of figure 2.
The volume of figure 2 is 45 cm greater than the volume of figure 1.
The volume of fioure 1 is 10mg areater than the volume of figure 2
P
L
Z
H
E
L
P
M
E
!
!
!
Answer:
slope = - 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = - 1, 22) and (x₂, y₂ ) = (1, 14) ← 2 ordered pairs from the table
m = [tex]\frac{14-22}{1-(-1)}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4
Consider the function f(x)= 10^x and the function g(x), which is shown below.
How will the graph of g(x) differ from the graph of f(x)?
g(x)= f(x - 6) = 10^(x-6)
A. The graph of g(x) is the graph of f(x) shifted 6 units elown.
B. The graph of g(x) is the graph of f(x) shifted to the left 6 units.
C. The graph of g(x) is the graph of f(x) shifted 6 units up.
D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.
Answer:
B. The graph of g(x) is the graph of f(x) shifted to the left '6' units
Step-by-step explanation:
Type of transformation change to co-ordinate point
Vertical translation up 'd' units (x ,y) changes to (x , y+d)
Vertical translation down 'd' units (x ,y) changes to (x , y-d)
Horizontal translation left 'c' units (x ,y) changes to (x-c , y)
Horizontal translation Right 'c' units (x ,y) changes to (x+c , y)
Given f(x) translation left 'c' units f(x) changes to f(x-c)
Given f(x) translation right 'c' units f(x) changes to f(x+c)
Given Function f(x) = 10 ˣ
The given graph f(x) translation left '6' units
g(x) = f(x -6) = [tex]10^{x-6}[/tex]
Final answer:-
The graph of g(x) is the graph of f(x) shifted to the left '6' units
g(x) = f(x -6) = [tex]10^{x-6}[/tex]
Answer:
D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.
Step-by-step explanation:
Use GeoGebra to graph those two function
f(x) = 10^x
g(x) = 10^(x-6)
the diameter of a circle is 5 ft. Find the circumference TO THE NEAREST TENTH
Answer:
15.7
Step-by-step explanation:
3.14(5)
D= 90* AC=17 cm AD=10 cm CD=?cm
please in need help in this
Answer:
Step-by-step explanation:Idon't say u must have ro mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me....
Answer:
CD=
[tex] \sqrt{189} [/tex]
Step-by-step explanation:
using phaythagorous theorem
CD^2+10^2=17^2
CD^2= 17^2-10^2
CD^2=289-100
CD^2=189
CD=
[tex] \sqrt{189} [/tex]
How should the decimal point in 6.8 be moved to determine the product of 6.8
and 100?
()) two places to the left
1)) three places to the right
<)) three places to the left
()) two places to the right
The correct answer is two places to the right
The following information should be considered:
For each and every 0 you have to move the decimal one place. And since the 100 is positive you move the decimal to the right.Learn more: https://brainly.com/question/17429689?referrer=searchResults
PLEASE HELP! WILL MARK THE FIRST CORRECT ANSWER BRAINLIEST!
There are n gallons of gas in a tank. After x gallons have been used, in terms of n and x, what percent of the gas has not been used?
Answer:
((n-x)/n)*100
Step-by-step explanation:
The Answer is:
((n-x)/n)100
Find last year's salary if, after a 4 % pay raise, this year's salary is $ 33,280.
Answer:
32000
Step-by-step explanation:
1.04x=33280
32000
What is the median of the data displayed in the box and whisker plot?
Answer:
The median is the middle number in a you box/whisker plot. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values
Step-by-step explanation:
The median is "the middle number" in short...
ex: 1,5,8,9,8648
the middle number would be 8
Brainliest plz
Answer:
median is where the middle line in the box is
Step-by-step explanation: