Answer:
Paul can drive 162.14 miles a day for the budget of 120 dollars.
OB. C=38.93+0.50x
Step-by-step explanation:
120=C
120=38.93+0.50x
81.07=0.50x
162.14=x
The exterior angle of a regular polygon is 30°. What is the measure of an interior angle of the polygon.
B. How many sides does this polygon have.
C. What is the sum of all the interior angels.
This is all the same polygon.
Answer:
A) Measure of an interior angle of polygon = 150°
B) No of sides = 12
C) Sum of all interior angles = 1800°
Step-by-step explanation:
Measure of interior angle of polygon = 180°- measure of exterior angle of polygon
= 180°-30°
= 150°
B.
[tex]No.\: of \: sides = \frac{360\degree}{30\degree} = 12\\\\C.\\Sum\:of\: all \:interior\: angles \\= (n-2)\times 180\degree\\= (12-2) \times 180\degree\\= 10\times 180\degree\\= 1800\degree[/tex]
The quadratic equation x^2−8x+16=0 can be rewritten as (x−4)(x−4)=0.
What is the multiplicity of the root x=4?
The multiplicity of the root is 4.
The multiplicity of the root is 2.
The multiplicity of the root is 1.
The multiplicity of the root is 3.
Answer:
The multiplicity of the root is 2Step-by-step explanation:
Multiplicity of a number is the number of times the factor of a given function appears in the factor form of such given equation. For us to know the multiplicity of the root of the function, first we must know its root.
Factorizing the given quadratic function x²−8x+16=0
[tex]x^{2} -4x-4x+16 = 0\\x(x-4)-4(x-4)=0\\(x-4)(x-4) = 0\\x-4 = 0 and x-4 = 0\\x = 4\ twice[/tex]
Since the root of the function which is 4 appears twice then the multiplicity of the root is 2
45% of all 1st graders at Sierra Elementary School are female students. This year there are 54 female 1st graders at Sierra Elementary School. How many 1st graders are there at Sierra Elementary School this year?
Answer:
There are 120 1st graders at Sierra Elementary School this year
Step-by-step explanation:
Let n represent the total number of 1st graders at Sierra Elementary School
Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54
→ n([tex]\frac{45}{100}[/tex]) = 54
→ 45n = 5400
→ n = 120
Answer:
number of first grader at Sierra elementary school = 120
Step-by-step explanation:
The question says 45% of 1st graders at Sierra Elementary school are female student . This year there are 54 female 1st graders at Sierra Elementary school .The number of 1st graders at Sierra elementary school can be calculated below .
Let
the number of 1st grader = a
45 % of a = female population
This year the female 1st graders at the Sierra elementary school are 54. This can represented as follows
45% × a = 54
45/100 × a = 54
45a/100 = 54
cross multiply
45a = 5400
divide both sides by 45
a = 5400/45
a = 120
number of first grader = 120
There are 1200 students in a school. 51.5% of them are male. How many are female
Answer:
Step-by-step explanation:
Evaluate 15 - 151.
-10
10
20
-20
Answer:
10
Step-by-step explanation:
15 - |5|
The absolute value of 5 is 5
15 - 5
10
Answer:
10
Step-by-step explanation:
assuming those are absolute value bars it is basically 15-5=10 so 10 is your answer!
the decimal expansion of 131 upon 120 will terminate after how many places of decimal A)1 b)2c) 3D) will not terminate
Answer:
c) 3
Step-by-step explanation:
5x + 7 + 2x anwer plz
Answer:
The final answer is [tex]7x +7[/tex] .
Step-by-step explanation:
-Solve equation:
[tex]5x + 7 + 2x[/tex]
-Combine like terms:
[tex]5x + 7 + 2x[/tex]
[tex]7x +7[/tex]
-Result:
[tex]7x +7[/tex]
20,30,40,50,60,70,80 the mean of the number set is
Answer:
Mean is 50
Step-by-step explanation:
20 + 30 + 40 + 50 + 60 + 70 + 80 = 350
350 / 7 = 50
Answer:
50
Step-by-step explanation:
Mean means average number which sum of all numbers divided how many numbers we are investigating
We are investigating 7 numbers
The total sum of these numbers are:
20 + 30 + 40 +50+ 60+70+80= 350
Mean = 350/7= 50
Evaluate sin^2Θ, for Θ=45°
Answer:
sin^2(45) = (√2/2)^2 = 1/2
Step-by-step explanation:
sin2x = sin2 * x = 0.909x
sin(2(45)) = sin90 = 1
Hope this helps.
Answer:
The answer to this is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
I did the assignment, hope it helps! :)
3x + 5 = 2x + 8 =
help me plz
Answer:
x=3
Step-by-step explanation:
Answer:
The answer would be 3.
Step-by-step explanation:
Find the slope,
Use this form example: y=Mx+b
Answer:
The slope is 1 or just x
Step-by-step explanation:
rise/run (rise over run) to find the slope
Find the EXACT perimeter and EXACT area of triangle ABC (meaning radical form) BD=3 *will give brainliest*
Answer:
Perimeter = 4.5√3 + 4.5
Area = 3.375√3
Step-by-step explanation:
Well you can first see that triangle ABC is a 30°60°90° triangle.
Since angle A is 60 and it is bisected, you will have a small 30°60°90° triangle and a 120°30°30° triangle.
You can say that DA is congruent to BD by Base Angle Theorem.
DA = 3
By using the ratios of the sides of the 30°60°90° you get that CD is 1.5 and CA is 1.5√3
CD = 1.5
CA = 1.5√3
BC = 4.5
Area = (4.5 * 1.5√3) / 3 = 6.75√3 / 2
Area = 3.375√3
By using the 30°60°90° ratio again, you get that BA = 3√3
Perimeter = 1.5√3 + 3√3 + 4.5
Perimeter = 4.5√3 + 4.5
I'm not 100% sure that the answer is right so check it.
which of the binomials below is a factor of this trinomial? x^2+6x-40
Answer:
C
Step-by-step explanation:
(x-4)(x+10)=x^2+6x-40
Answer:
C. X-4
Step-by-step explanation:
A P E X
Which expression shows that the quotient
2/3x-1 ÷ 6/6x-1
is also a rational expression? Assume x
1/3 and x 1/6
Answer:
Option (2)
Step-by-step explanation:
Given expression is [tex]\frac{2}{(3x-1)}[/tex] ÷ [tex]\frac{6}{6x-1}[/tex]
We further simplify this expression,
[tex]\frac{2}{(3x-1)}[/tex] ÷ [tex]\frac{6}{6x-1}[/tex]
= [tex]\frac{2}{(3x-1)}\times \frac{6x-1}{6}[/tex]
= [tex]\frac{6x-1}{3(3x-1)}[/tex]
= [tex]\frac{6x-1}{(9x-3)}[/tex]
Therefore, [tex]\frac{6x-1}{(9x-3)}[/tex] will be the quotient of the given expression.
[tex]x\neq \frac{1}{3}[/tex] and [tex]x\neq \frac{1}{6}[/tex] for which the given expression is not defined.
Option (2) will be the answer.
Answer:
B
Step-by-step explanation:
One of the solutions to x^2 – 2x – 15 = 0 is x = -3. What is the other solution?
x = -5
x = -1
x = 1
x = 5
Answer:
work is shown and pictured
Five 12s is equal to how many 48s?
Answer:
1 1/4 48's.
Step-by-step explanation:
5 * 12 = 60
60 / 48 = 1 12/48
= 1 1/4.
Answer:
1 48
Step-by-step explanation:
if 2 twelve is equal to 24 and 24+24= 48 then 4 12s would equal one 48 with 12 still remaining
Find the value of x. Then find mAB.
Answer:
16x - 5 = 15x
16x - 16x -5 = 15x - 16x
-5 = -x
-5 / -1 = -x / -1
x = 5
mAB = 5(5)
mAB = 25°
Step-by-step explanation:
1. set arc FA and arc CD equal to each other.
2. subtract 16x from both sides.
3. divide both sides by -1 to get x.
4. replace x by its value to solve for mAB.
please help 50 points and brainliest!!!!!!!!
Answer:
To do this you need to fill in the equation: 1/2 height*sidelength *width. So, height = 8 ft, side length = 4 ft, and width = 24 ft. So, plugging in the numbers you get:
1/2(8) * 4 * 24 =
4*4*24 = 384 ft
Step-by-step explanation:
Answer:
345 ft^3
Step-by-step explanation:
B=1/2(5)(6)=15
V=15(23)=345
Using the following triangle, write a proof to verify that sinA/a=sinC/c
Write two different expressions for h and set the expressions equal to each other
Answer:
Proved: [tex]c\sin A=a\sin C\Rightarrow \frac{\sin A}{a}=\frac{\sin C}{c}[/tex]
Step-by-step explanation:
Given: A triangle
To prove: [tex]\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]
Solution:
Trigonometry is a branch of mathematics that explains relationship between sides and angles of the triangle.
Sine of angle = side opposite to the angle / hypotenuse
In ΔADB,
[tex]\sin A=\frac{BD}{AB}=\frac{h}{c}\\\Rightarrow h=c\sin A\,\,\,(i)[/tex]
In ΔBDC,
[tex]\sin C=\frac{BD}{BC}=\frac{h}{a}\\\Rightarrow h=a\sin C\,\,\,(ii)[/tex]
From equations (i) and (ii),
[tex]c\sin A=a\sin C\\\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]
Hence proved
An irregular figure was broken into a triangle and rectangle. The area of the triangle is in2. The area of the rectangle is in2. The area of the irregular figure is in2.
Answer:
the anser is 24,32,56
Step-by-step explanation:
i did it got it wrong and then it gave me the right anser witch is that
Answer:
24,32,and 56 is right. trust me
Step-by-step explanation:
what is the total cost of a meal if the food cost $25 and there is a food tax of 3% and the waiter is tipped 15% of the food cost? Round to the nearest cent.
Answer:
$30
Step-by-step explanation:
If $25 is 100%,
$2.5 is 10%
$0.25 is 1%
$3.75 is 15%
$0.75 is 3%
Then add $25, $3.75 and 0.75 which is also equivalent to 100%+15%+3%=29.5 and if you rounded it up to the nearest cent it is 30
After returning to South Africa from Algeria in 1964, Nelson Mandela was
Arrested and imprisoned
Elected to the presidency
Educated in guerrilla tactics
Finally granted his freedom
Answer:
arrested and imprisoned.
Nelson Mandela was arrested an imprisoned by the Apartheid regime when he returned from Algeria.
Who is Nelson Mandela?Nelson Mandela was a know nationalist in South Africa and a strong advocate for the liberation of South Africa from the Apartheid in which the non-white South African's were segregated.
Nelson Mandela was educated in Algeria as a lawyer. When he returned in 1964, he was arrested and imprisoned.
Learn more about Apartheid: https://brainly.com/question/3811942
Bryna has $300 to open a checking account. She wants an account with the least amount of fees. She does not plan on using an ATM and her employer offers direct deposit.
A 6-column table with 3 rows. Column 1 has entries A, B, C. Column 2 is labeled Minimum Balance with entries 500 dollars, 250 dollars, 50 dollars. Column 3 is labeled Interest with entries 0.1 percent, 0 percent, 0 percent. Column 4 is labeled Overdraft protection with entries yes, no, no. Column 5 is labeled A T M Fees with entries 0 dollars for all A T M s, 0 dollars for A B C banks A T M s, 2 dollars per transaction. Column 6 is labeled Monthly Fee with entries 5 dollars, 10 dollars, 0 dollars with direct deposit.
Bryna should choose account
.
Answer:
Its C On Edge Just Took The Quiz
Step-by-step
Answer:
c
Step-by-step explanation:
took quiz 100%
A water storage tank is in the shape of a hemisphere (half a sphere). If the radius is 26 ft, approximate the volume of the tank in cubic feet.
Answer:
36,811 cubic feet.
Step-by-step explanation:
Volume = 1/2 volume of a sphere
= 1/2 * 4/3 π r^3
= 2/3 * π r^3
R = 26 so
Volume of the tank = 2/3 * π 26^3
= 36811.09 feet^3.
The volume of the tank in cubic feet approximate is 36,811 cubic feet.
What is the volume of sphere?If the given sphere is of radius r units, then its volume is given as:
[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]
We are given water storage tank is in the shape of a hemisphere (half a sphere). If the radius is 26 ft.
Therefore,
Volume = 1/2 volume of a sphere
= 1/2 * 4/3 π r^3
= 2/3 * π r^3
R = 26
Therefore, Volume of the tank = 2/3 π 26^3
= 36811.09 feet^3.
Learn more about volume of a sphere here:
https://brainly.com/question/381274
#SPJ3
what is -2(6a-2b+4c-9)
Answer:
-12a + 4b - 8c + 18
Step-by-step explanation:
To do this, you will need to use the Distributive Property. Multiply the number outside of the parenthesis by the terms inside of the parenthesis.
-2(6a - 2b + 4c - 9) becomes:
-12a + 4b - 8c + 18
Answer:
use a app that is call photomath
What is the Volume and surface area of a cone with a diameter of 18ft and a slant height of 30ft
Answer:
A cone with a diameter of 18ft and a slant height of 30ft
Using Pythagorean theorem, the height is calculated by:
H = sqrt(18^2 - (30/2)^2) = 9.95
The surface area:
A = lateral surface area + base
A = pi x radius x slant height + pi x radius^2
A = pi x (30/2) x 18 + pi x (30/2)^2 = ~1555.1 (ft2)
The volume:
V = base x height x (1/3)
V = pi x radius^2 x height
V = pi x (30/2)^2 x 9.95 = 7033.2 (ft3)
Hope this helps!
:)
Please help!You roll a 6-sided die two times.
What is the probability of rolling a number less than 4 and then rolling an odd number?
Write your answer as a percentage.
Answer:
25%
Step-by-step explanation:
[tex]6 \times 6 = 36 \\ 3 \times 3 = 9 \\ \frac{9}{36} = \frac{25}{100} [/tex]
Someone please help me out!
Answer:
S = {2,4,6,8} P(2) = 3/20 P(4) = 3/10 P(6) = 3/10 P(8)= 1/4
Step-by-step explanation:
There are 30 draws
She got the tile numbered 2 3 times
P(2) = 3/20 = .15
She got the tile numbered 4 6 times
P(4) = 6/20 = 3/10 = .3
She got the tile numbered 6 6 times
P(6) = 6/20 = 3/10 = .3
She got the tile numbered 8 5 times
P(8) = 5/20 = 1/4 = .25
Tina loves to read. Before breakfast, she read 21/2 pages, at lunch she read 31⁄5 pages, and after dinner she read 11⁄3 pages. How much did Tina read in total?
Answer: 7 1/30
Step-by-step explanation:
Tina loves to read. Before breakfast, she read 2 1/2 pages, at lunch she read 3 1/5 pages, and after dinner she read 1 1/3 pages. To find the total, we add all the pages together. This will be:
2 1/2 + 3 1/5 + 1 1/3
The LCM of 2, 5 and 3 is 30.
= 2 15/30 + 3 6/30 + 1 10/30
= 6 31/30
= 7 1/30.
The graph of f(x) is shown.
On a coordinate plane, a parabola opens up. It goes through (negative 1.75, 4), has a vertex of (negative 0.25, negative 3), and goes through (1.4, 4). Solid circles appear on the parabola at (negative 1.6, 3.1), (negative 1.2, 0), (negative 0.25, negative 3), (0.8, 0), (1.2, 3.1).
Over which interval on the x-axis is there a negative rate of change in the function?
–2 to –1
–1.5 to 0.5
0 to 1
0.5 to 1.5
Answer:
The answer to this question is A, or -2 to -1.
Hope this helps.
Answer: A
Step-by-step explanation: