Answer:
$17000
Step-by-step explanation:
Given
[tex]Total = 18275[/tex]
[tex]Tax = 7.5\%[/tex]
Required
The original price
This is calculated using:
[tex]Price(1 + Tax) = Total[/tex]
Make Price the subject
[tex]Price = \frac{Total}{(1 + Tax)}[/tex]
So, we have:
[tex]Price = \frac{18275}{(1 + 7.5\%)}[/tex]
[tex]Price = \frac{18275}{1.075}[/tex]
[tex]Price = 17000[/tex]
HELP OVER HERE LOL !!
Find the measure of the intercepted arc
Answer:
arc GH = 74°
Step-by-step explanation:
The inscribed angle GFH is half the measure of the intercepted arc aGH, then
arc GH = 2 × 37° = 74°
Four thousand runners began the marathon. Eighty-nine percent of them completed the run. What percentage of the runner finished the marathon?
Answer:
3560 people.
Step-by-step explanation:
You have to do 89% × 4000.
Or 0.89×4000=3560.
So 3560 is the answer.
What is the length of segment FH?
Answer:
FH ≈ 15.20
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large triangle)² = (part of hypotenuse below it ) × (whole hypotenuse )
FH² = 11 × (11 + 10) = 11 × 21 = 231 ( take the square root of both sides )
FH = [tex]\sqrt{231}[/tex] ≈ 15.20 ( to 2 dec. places )
Solve for x. Solve for x.
Answer:
4√3
Step-by-step explanation:
This is a right triangle. When two sides are given in a right triangle, we need to use the Pythagorean Theorem to solve for the third side.
Pythagorean Theorem: a² + b² = c²
The a here is 11, while the b is x. The c is always the hypotenuse (the longest side), which is 13.
Now we substitute:
11² + x² = 13²
121 + x² = 169
-121 -121
x² = 48
√x² = √48
x = √48 <-- We can simplify that.
√48 = 12 * 4 = 3 * 4 * 4 = 4√3
Hello !
Answer:
[tex]\boxed{\sf x=4\sqrt 3}[/tex]
Step-by-step explanation:
It is a right-angled triangle. To find the value of x, we will have to use the Pythagorean theorem which says that the lengths of the sides of a right-angled triangle satisfy the following equality :
[tex]\boxed{\sf c^2=a^2+b^2}[/tex]
Where :
c represents the length of the hypotenuse.a,b represents the lengths of the other two sides.In this triangle, we can consider a = 11, b = x, and c = 13.
Let's substitute the values of a, b, and c into the formula.
[tex]\sf 13^2=11^2+x^2[/tex]
Now we have to solve the equation to find the value of x.
Let's subtract 11² from both sides and calculate.
[tex]\sf 13^2-11^2=11^2-11^2+x^2\\x^2=13^2-11^2\\x^2=169-121\\x^2=48[/tex]
Reminder : if x² = a (a ≥ 0), then x = ±√a.
Let's apply that to our equation.
[tex]\sf x=\pm \sqrt{48}[/tex]
x represents a distance, it must be positive. The unique solution is:
[tex]\sf x=\sqrt{48}\\\boxed{\sf x=4\sqrt 3}[/tex]
Have a nice day ;)
What is the value of x?
Answer:
126
Step-by-step explanation:
Answer:
126°
Step-by-step explanation:
x = (87+165)/2
x = 252/2
x = 126
Answered by GAUTHMATH
Can someone help me
Answer:
G' (-2,-1) F' (-5,0) E' (-4,3)
Step-by-step explanation:
This is because R90(x,y)=(-y,x)
G(-1,2)=G'(-2,-1)
F(0,5)=F'(-5,0)
E(3,4)= E'(-4,3)
. Ram solved 2/7 part of an exercise while Shyam solved 1/5 of it. Who solved greater part and by how much?
fast please
Step-by-step explanation:
LCM of 7 and 5 is 35
now will make the denominator equal,
10+7/35
So, Ram's work = 10/35
Shyam's work = 7/35
so
Ram > Shyam
hope it helps
A multiple-choice test has five questions, each with four choices for the answer. Only one of the choices is correct. You randomly guess the answer to each of the questions. Find the probability that you answer three of the questions correctly. Find the probability that you answer at most two of the questions correctly.
Why can't x^2+9 be factored? And is there a way to tell if a problem can be factored or not just by looking at it?
Answer:
There are no like terms
Step-by-step explanation:
×^2+9
=ײ+9
the scale of a map is 1cm to 12km what is the distance on land if the length from town A to town B on the map is 15cm
Answer:
180 km
Step-by-step explanation:
1 cm=12 km
15 cm=12×15=180 km
A car salesman claims that the variance of prices on convertibles is higher than the variance on station wagons. To test this claim, he selects random samples of each type of car, and records the prices. The standard deviation of 16 convertibles is $6800 and the standard deviation of 24 station wagons is $3900. For , what is the p-value? Group of answer choices
Answer:
Hence the critical value for the right-tailed test is [tex]F_{15,23,0.05}=2.1282[/tex]. Since the test value is greater than the critical value so we reject the null hypothesis.
Step-by-step explanation:
Hypotheses are:
[tex]H_{0}:\sigma_{1}^{2}=\sigma_{2}^{2}\\H_{a}:\sigma_{1}^{2}>\sigma_{2}^{2}[/tex]
Here we have s_{1}=6800 and s_{2}=3900. Here we will use F -test. The Value of test statistics is
[tex]F=\frac{s_{1}^{2}}{s_{2}^{2}}\\\\F=\frac{6800^{2}}{3900^{2}}\\\\F=3.0401[/tex]
Here the degree of freedom of the numerator is [tex]df_{1}=n_{1}-1=16-1=15[/tex] and The degree of the denominator is
[tex]df_{2}=n_{2}-1 \\\\=24-1=23 .[/tex]
The critical value for the right-tailed test is [tex]F_{15,23,0.05}=2.1282[/tex]. Since the test value is greater than the critical value so we reject the null hypothesis.
Answer:
Step-by-step explanation:
I need help finding the shaded area for d, e and f please and thank you
Answer:
d, 64.26 e, 27.475 f, 126.14
Step-by-step explanation:
For d, the diameter is 12 and the equation to find the circle is πr2. 6 is the radius, so 6x6=36, and 36x3.14 cause π=3.14. 36x3.14=113.04, and we have to divide by 2 cause its only half of the circle is shaded. 113.04/2=56.52. Now we have to do 12x12 to find the whole area of the square which is 144, then 144-113.04 cause we are finding the shade outside of the circle, so 144-113.04=30.96. Finally we divide by four of the outside corners, so 30.96/4=7.74. 7.74+56.52=64.26
So D is 64.26
WARNING: The rest of them i'm not gonna explain much of it i'm just gonna say what to do, but i'll put the answers! they are all very similiar. Also, i might be wrong, so if i'm wrong i'm sorry, i'm learning too!
For E, we have to find the smaller circle that has diameter of 10, then the bigger circle is diameter of 15, so find the area of the bigger circle then minus the smaller circle than divide by 2.
78.5-23.55=54.95
54.95/2=27.475
for F, we have to find the area of the half circle with diameter of 14, so find the area of the whole circle, and we dont have to divide two cause we have the other half on the other half, and half plus a half is a whole. Then we have to do 20x14 to find the whole square minus the circle.
280-153.86=126.14
Remember this might be wrong, so sorry if it is
Rewrite the expression in the picture in the form y^n.
Step-by-step explanation:
here's the answer to your question
Answer:
y^(2/3)
Step-by-step explanation:
( y ^ ( 7/3) * y^ ( 1/3) ) ^ 1/4
Combine the terms in side the parentheses
a^b* a^c = a^(b+c)
( y ^ ( 7/3+ 1/3) ) ^ 1/4
( y^( 8/3) )^1/4
We know a^b^c = a^(b*c)
y ^(8/3*1/4)
y^(2/3)
Calculate the average speed in km/h for a plane that travels 1300km in 4 hours??
Answer:
The plane is going 325 kilometers per hour :)
Step-by-step explanation:
To find the average speed per hour, divide 1300 by 4.
1300/4 = 325
Which expression is equivalent to d - 8 - 8d?
Answer:
−7d−8
Step-by-step explanation:
Subtract 8d from d.
In need of desperate help it’s due in a few hours plssss!!
Answer:
x = -6 and y = -9
y = 0
Step-by-step explanation:
A vertical line is an x = equation. No matter what y equals, x will always be -6, so it's x = -6. A horizontal line is a y = equation. No matter what x equals, y will always be -9, so it's y = -9. Finally the equation of the x axis is simply y = 0 since any point on that horizontal line has a y coordinate of 0.
Answer:
x = -6 and y = -9
thectgod ig
Alaina wants to decide whether her current cell phone plan is better than a package that another company offers. To compare the two plans, she plotted two lines on a graph, where y represented the total cost of one month’s service and x represented the megabytes of data that she used in a month. Which part of the graph will represent the cost per megabyte of data used in each plan?
Answer:
The y-intercepts of the two lines will represent the cost per megabyte of data used in each plan.
Step-by-step explanation:
i also took the test
Answer:
The y intercept forms the two lines.
Step-by-step explanation:
I just took the test
The length, breadth and thickness of a brick is 18 cm, 8 cm, and 5 cm respectively. Find the area of the widest part of the brick. Also find the volume of the brick.
Answer:
area = 8 × 18 = 144 cm^2
volume 8×18×5 = 720cm^3
complete the square x^2+45=-14x
What is an equation of the line that passes through the points ( − 7 , 7 )and( 3 , 7 )
Answer:
Y=7
Step-by-step explanation:
x1 y1 x2 y2
-7 7 3 7
(Y2-Y1) (7)-(7)= 0 ΔY 0
(X2-X1) (3)-(-7)= 10 ΔX 10
slope= 0
B= 7
Y =0X +7
Answer:
y = 7
Step-by-step explanation:
(x₁, y₁) = (-7 , 7) & (x₂, y₂) = (3 , 7)
y-co-ordinate are same for both points. So, the line parallel to x-axis and it's slope =0
A line that is parallel to x-axis and has a y-intercept 'c' has the equation y = c
y = 7
Which inequality is represented by this graph?
Answer:
x> 0
Step-by-step explanation:
There is an open circle at 0 so this means it is not equal to
The line goes to the right so x is greater than
x> 0
without using tables or calculator, evaluate
[tex] \frac{ \sin(20 \degree) }{ \cos(70\degree) } + \frac{ \cos(35\degree) }{ \sin( 65\degree)} [/tex]
Answer->[tex] \frac{ \sin(20 \degree) }{ \cos(70\degree) } + \frac{ \cos(35\degree) }{ \sin( 65\degree)} [/tex]
we know:-[tex] \sin( \theta) = \cos(90 - \theta) \\ \\ \cos( \theta) = \sin(90 - \theta) [/tex]
So putting down the value
[tex] \frac{ \cos(90 - 20 \degree) }{ \cos(70\degree) } + \frac{ \sin(90 - 35\degree) }{ \sin( 65\degree)} [/tex]
[tex] \frac{ \cos(70\degree) }{ \cos(70\degree) } + \frac{ \sin(65\degree) }{ \sin( 65\degree)} [/tex]
[tex]\frac{\cancel{\cos(70\degree)}}{ \cancel{\cos(70\degree)}} + \frac{\cancel{\sin(65\degree)}}{\cancel{\sin( 65\degree)}} [/tex]
[tex] \frac{1}{1} + \frac{1}{1} \\ 1 + 1 = 2 \: \: ans[/tex]
Stuck on this question need help
Answer:
4y4 the 1st one
may this help you
25. Several functions represent different savings account plans. Which functions are linear?
A. y = 3.6 x2
B. y = 5.25 x
c. y = 0,5 Х
D.y = 2.5 x +7
E. y = 2.50(1.3)*
NEED HELPP
Answer:
b, c, d
Step-by-step explanation:
y=kx+b
or
y=kx
so y=5,25x-right
y=0,5x-right
y=2,5x+7-right
Here are the ages (in years) of 8 professors at a college.
61, 42, 61, 34, 49, 44, 36, 47
What is the percentage of these professors who are younger than 47?
Answer:
50%
Step-by-step explanation:
There are 8 professors. 4 of them are younger than 47 (not equal to 47, YOUNGER)
1. 42
2. 34
3. 44
4. 36
To find percentage we have to do 4/8 x 100
this equals to 50%
Radius of circle is 6 and I need help finding the angles, SUT is 39 and MOP is 49 degrees
Answer:
a. i) ∠TUV = 39°
ii) The measure of arc VTS (the minor arc) = 102°
b. The diameter OT of the circle = 12
c. The angle which we can calculate, given ∠MOP, is angle ∠OTM = 51°
i) Arc MVT = 98° and arc MO = 82°
Step-by-step explanation:
The given parameters are;
The radius of the circle = 6
∠SUT = 39°, ∠MOP = 49°
a. i) According to two tangent theory, two tangents that meet at a given point are congruent
Therefore, VU is congruent to SU
Given that PU is congruent to PU by reflexive property and PV = PS = The radius of the circle, we have;
ΔPVU is congruent to ΔPSU by Side Side Side (SSS) rule of congruency
∠SUT ≅ ∠TUV by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
Therefore, ∠SUT = ∠TUV = 39° by transitive property of equality
ii) Arc VTS is the minor arc while arc VOS is the major arc by size
The arc measure that describes arc VTS is the minor arc
iii) From circle theorem, we have that the sum of the angle formed by two tangents and the minor arc equals 180°
Therefore, ∠SUT + ∠TUV + arc VTS = 180°
∴ Arc VTS = 180° - (39° + 39°) = 102°
b. The line segment length that can be calculated based on knowing the radius length includes the length of the diameter OT of the circle
The diameter OT = 2 × The length of the radius
∴ The diameter OT = 2 × 6 = 12
c. The angle ∠MOP, is an interior angle of the right triangle ΔTMO formed by the diameter of the circle, OT, therefore, given that ∠MOP = 39°, we have;
∠OTM = 90° - ∠MOP
∴ ∠OTM = 90° - 39° = 51°
∠OTM = 51°
Therefore, given ∠MOP, we can calculate angle ∠OTM
i) The arc that we can calculate, given ∠MOP are arc MVT and arc MO
Arc MVT = 2 × ∠MOP
∴ Arc MVT = 2 × 49° = 98°
Arc MO = 2 × ∠OTM
∴ Arc MO = 2 × (90° - 49°) = 82°
What am i supposed to type here tho, just look at the photo pls
slope is just "how much up or down" for one step to the right.
its clearly negative here
only -3 seems to be remotely plausible looking at the graph in your screenshot
Answer:
The slope is [tex]-3[/tex]
Step-by-step explanation:
The slope of a line, [tex]m[/tex], that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To find the slope of a line, choose two points that it clearly passes through.
In the given graph, the line clearly passes through points (2, 2) and (0, 8).
Let:
[tex](x_1, y_1)\implies (2, 2)\\(x_2, y_2)\implies (0, 8)[/tex]
Substitute into the slope formula:
[tex]m=\frac{8-2}{0-2}=\frac{6}{-2}=\boxed{-3}[/tex]
Therefore, the slope of the line is -3.
CAN SOMENE PLESAE ANSWER B ITS URGERT MARKING BRAINLIEST
James is studying the decline of a certain bird species. James’ observations are as follows: Year 1900 1950 1990 2005 Population (in thousands) 6012 72 2 .5 What is the best fit exponential decay equation for this decline? 5=6012(1-0.06)105 At what year did the population first drop below 1,000,000? If this trend continues, what will be the population in 2020?
29. If (x, 5) is a solution to the equation 3x + 5y = -5, what is the value of x?
A.-10
B.-4
C. 2
D. 6
Answer:
the answer is -10
Step-by-step explanation:
x=x
y=5
then
3x+5y=-5
3x+5*5=-5
3x=-5-25
3x=-30
x=-30/3
•°•x=-10
Answer:
A
Step-by-step explanation:
3x+5*5=-5
x=-10