Answer:
Step-by-step explanation:
The formula for this is
∠G = 1/2(arcEH - arcHF)
We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF
Filling in the formula with what we have:
[tex]5x-10=\frac{1}{2}(195-(8x+17))[/tex]
which simplifies down a bit to
[tex]5x-10=\frac{1}{2}(195-8x-17)[/tex] which simplifies down a bit more to
[tex]5x-10=\frac{1}{2}(178-8x)[/tex] Multiply both sides by 2 to get rid of the fraction and get:
2(5x - 10) = 178 - 8x which of course simplifies to
10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:
18x = 198 so
x = 11. Now we can find the measure of arcHF:
arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.
arcEH + arcHF = arcEHF so
195 + 105 = arcEHF so
arcEHF = 300°
Which of the following is the first step when copying a line segment to construct a new line segment?
a. draw a line segment
b. use a straight edge to connect the point not on the line segment to a point in the arc
c. plot a point not on the original line segment
d. draw an arc
Answer:
The correct option is;
c. Plot a point not on the original line segment
Step-by-step explanation:
The steps to copy a line segment are;
1) Plot a point that will be an endpoint of the new line segment
2) With the compass pin at the beginning of the original line segment, open the compass width to the end of the original line segment
3) With the adjusted compass width from the above step place the compass pin at the plotted point of the new line segment and draw an arc in the region the new line segment is to be located
4) Select a point on the arc where the other end of the new line will be
5) From the selected point from the above step, draw a line to the point plotted as the beginning of the new line segment
6) The length of the line drawn above is the same as the length of the original line segment.
Which expression converts 100 inches per minute to feet per minute?
Answer:
C 100 inches/ minute * 1 ft/ 12 inches
Step-by-step explanation:
100 inches/ minute
We need to convert inches to ft
12 inches = 1 ft
100 inches/ minute * 1 ft/ 12 inches
Scores on the Mathematics section of the SAT Reasoning Test form a normal distribution with a mean of μ = 500 and a standard deviation of 100. What is the minimum score necessary to be in the top 10% of the distribution?
Answer:
The minimum score necessary to be in the top 10% of the distribution is 628.
Step-by-step explanation:
Given that a normal distribution has a mean of μ = 500 and a standard deviation = σ= 100
The Significance level for this test = 10 % = 0.1
For one tailed test ∝= 0.1 the value of Z∝= ±1.28
Since it a normal distribution the test statistic used is
Z= X= u / σ/√n ( taking n= 1)
1.28 = X- 500/100/√1
128 + 500 = X
or X = 628
The minimum score necessary to be in the top 10% of the distribution is 628.
A school wants to buy a chalkboard that measures 1 meter by 2 meters. The chalkboard costs $27.00 per square meter. How much will the chalkboard cost?
Answer:
$54
Step-by-step explanation:
you just multiply 1 by 2 and get the answer 2 then multiply 27 dollars by 2 and get 54 dollars
Simplify (ab)2 + (b3 - a2) if a = -2 and b = 4
Step-by-step explanation:
(-2*4)2+(4×3--2×2)
(-8)2+(12--4)
-16+16
=0
hope this helps
Answer:
124
Step-by-step explanation:
(ab)^2 + (b^3 - a^2)
Let a = -2 and b = 4
(-2 *4)^2 + (4^3 - (-2)^2)
Parentheses first
(-8)^2 + (4^3 - (-2)^2)
Then the exponents in the parentheses
(-8)^2 + (64 - 4)
Subtract in the parentheses
(-8)^2 + (60)
Exponents
64 + 60
124
Help Me!
In the quadrilateral ABCD shown below, the sides AB and CD are parallel. M is the Mid point of the side BC.
The lines DM and AB extended, meet at N.
[tex]\large\sf\color{Aqua}\underline{Questions}[/tex]
i) Are the areas of ∠DCM and ∠BMN equal?why?
ii) What is the relation between the areas of the quadrilateral and the triangle ADN?
Answer:
Given:
DC ║ ABCM = MB as M is midpoint of BCi) Since DN and BC are transversals, we have:
∠DCM ≅ ∠NBM and∠CDM ≅ ∠BNM as alternate interior anglesAs two angles and one side is congruent, the triangles are also congruent:
ΔDCM ≅ ΔNBM (according to AAC postulate)So their areas are same.
ii)
The quadrilateral has area of:
A(ADCB) = A(ADMB) + A(DCM)And the triangle has area of:
A(ADN) = A(ADMB) + A(NBM)Since the areas of triangles DCM and NBM are same, the quadrilateral ADCB has same area as triangle ADN.
Answer:
I think I have proved it before you asked this question before also.
Step-by-step explanation:
SEE the image for solution.
HOPE it helps
Have a great day
Identify the equation of the circle that has its center at (7, -24) and passes
through the origin
A. (x - 7)^2 + (y + 24)^2 = 625
B. (x + 7)^2 + (y - 24)^2 = 25
c. (x - 7)^2 + (y + 24)^2 = 25
D. (x + 7)^2 + (y - 24)^2 = 625
Answer:
x = 7 e y = -24
Step-by-step explanation:
The equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.
What is an equation of a circle?A circle can be characterized by its centre's location and its radius's length.
Let the centre of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-h)²+(y-k)²=r²
The equation of a circle is given as (x-h)²+(y-k)²=r², where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle.
Since the given circle is needed to pass through the origin and the coordinates of the centre of the circle are (7, -24). Therefore, the distance between the origin and (7, -24) will the radius of the circle.
Therefore, the radius of the circle will be,
Radius = √[(7-0)² + (-24 - 0)²]
= √(49 + 576)
= √(625)
= 25
Now, the equation of the circle that is centred at (7, -24) and has a radius of 25 units is,
(x - h)² + (y - k)² = r²
[x - 7]² + [y - (-24)]² = (25)²
(x - 7)² + (y + 24)² = 625
Hence, the equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.
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The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The conclusion for this hypothesis test would be that because the absolute value of the test statistic is __________________________________.
This question involves the hypothesis test for the proportion. First we build the hypothesis, then find the test statistic, and according to the test statistic, we get the following answer:
The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.
-------------------------------------------------------------------
The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60
This means that at the null hypothesis, it is tested if the proportion is of 0.6, that is:
[tex]H_0: p = 0.6[/tex]
At the alternative hypothesis, we test if the proportion is different of 0.6, that is:
[tex]H_1: p \neq 0.6[/tex]
-------------------------------------------------------------------
Decision rule:
Two-tailed test(test if the proportion is different of a value), so we exclude the top and bottom 0.1/2 = 0.05, meaning that looking at the z-table, we find a critical value of [tex]|Z_c| = 1.645[/tex], and the decision rule is:
Accept the null hypothesis: [tex]|Z| < 1.645[/tex]
Reject the null hypothesis: [tex]|Z| > 1.645[/tex]
-------------------------------------------------------------------
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that [tex]\mu = 0.6, \sigma = 0.4[/tex]
75 out of a sample of 140:
This means that:
[tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]
-------------------------------------------------------------------
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5357 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{140}}}[/tex]
[tex]z = -1.55[/tex]
So |z| = 1.55
-------------------------------------------------------------------
Decision:
The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.
For a similar example, you can check https://brainly.com/question/24166849
A plane is on its approach to land on the runway. The jet’s height above the ground is given in feet as a function of the time in seconds. The following table tracks the plane as it lands. t (in seconds) h (in feet) 0 4000 5 3500 10 3000 15 2500 20 2000 25 1500. Determine where the graph crosses the h-axis. Then write the equation in slope-intercept form. a. (4000, 0); h = negative 100 t + 4000 b. (0, 4000); h = negative 100 t + 4000 c. (0, 4000); h = negative 4000 t + 100 d. (100, 0); h = 4000 t minus 100
Answer:
Step-by-step explanation:
This is a linear function because for every 5 seconds that pass, the height of the plane drops 500 feet, or -500 to be exact. So that's the slope of the line. If we look at the table we can determine where the graph goes through the h axis. The h axis is the y axis, and the t axis is the x axis. So where the graph goes through the h axis is also the y-intercept. If your teacher is any good at all, he/she would make sure that you understand beyond a shadow of a doubt that the y-intercept exists where x = 0. Looking at the table, where x (t) is 0, y (h) is 4000 feet.
Writing the linear equation then is super easy. In the form y = mx + b, we already know both the slope (-100) and the y-intercept (4000), so we fill in accordingly:
h = -100t + 4000 which appears to be choice a.
Answer:
a
Step-by-step explanation:
i took the quiz and got it right :)
Indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).
9514 1404 393
Answer:
x +3y = -3
Step-by-step explanation:
The midpoint of the segment with the given end points is ...
M = ((4, 1) +(2, -5))/2 = (6, -4)/2 = (3, -2)
The difference between coordinates of the given points is ...
(∆x, ∆y) = (4, 1) -(2, -5) = (2, 6)
__
The equation of the perpendicular bisector can be written as ...
∆x(x -h) +∆y(y -k) = 0 . . . . line through (h, k) ⊥ to one with slope ∆y/∆x
2(x -3) +6(y -(-2)) = 0
2x +6y +6 = 0 . . . . . simplify to a general-form equation
To put this in standard form, we need the constant on the right, and all numbers mutually prime. We can subtract 6 and divide by 2 to get there.
2x +6y = -6
x + 3y = -3
A farm has a square fenced-in area with side length x where the farm gives children pony rides. Adjacent to one entire side of the square area, there is a roped-off rectangular area where the children line up. This rectangle is 4 yards wide and x yards long.
1.The total area of the square and rectangular areas together is 2,700 square yards. Write an equation that represents this situation.
2. Use your equation from part a to find the dimensions of the roped-off rectangular area.
please help so i can pass my class!!
Answer:
1) x²+4x=2700
2) 50x50
Step-by-step explanation:
Pony area = x²
line-up area=4x
x²+4x=2700
x²+4x-2700=0
(x-50)(x+54)
So x= 50 or -54. Since it can’t be a negative number, it must be 50.
CHECK:
Square = 50x50 = 2500
Line up area = 50x4 = 200
2500+200=2700 YES
Determine the equation of the line that is parallel to the line 3x-4y-12=0 that passes through the point (-4,-1). Write the equation in slope-intercept form.
Answer:
y=(3/4)x+2
Step-by-step explanation:
write the equation in slope-intercept form: y=(3/4)x - 3
since it is parallel the slope is the same so we have y=(3/4)x + b
then plug in the point (-1) = (3/4)(-4) + b
-1 = -3 +b, b=2
y= (3/4)x + 2
I need help RIGHT NOW!!!PLEASE HELP ME
Answer:
centre = (1, 3 ) , radius = 2
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 1)² + (y - 3)² = 4 ← is in standard form
with centre = (1, 3 ) and r = [tex]\sqrt{4}[/tex] = 2
HELP!! For questions 9-12 evaluate each function for the given value
Answer:
9). h² - 7h + 11
10). 2a² + 14a + 16
11). 3
12). 2h + 4x - 3
Step-by-step explanation:
9). If j(x) = x² + x - 1
j(h - 4) = (h - 4)² +(h - 4) - 1
= h² - 8h + 16 + h - 4 - 1
= h² - 7h + 11
10). If f(x) = 2x² + 2x - 8
f(a + 3) = 2(a + 3)² + 2(a + 3) - 8
= 2(a² + 6a + 9) + 2a + 6 - 8
= 2a² + 12a + 18 + 2a - 2
= 2a² + 14a + 16
11). If f(x) = 3x - 1
[tex]\frac{f(x+h)-f(x)}{h}=\frac{3(x+h)-1-(3x-1)}{h}[/tex]
[tex]=\frac{3x+3h-1-3x+1}{h}[/tex]
= 3
12). If, f(t) = 2t² - 3t + 7
[tex]\frac{f(x+h)-f(x)}{h}=\frac{2(x+h)^{2}-3(x+h)+7-(2x^2-3x+7)}{h}[/tex]
[tex]=\frac{2(x^2+h^2+2hx)-3x-3h+7-2x^2+3x-7}{h}[/tex]
[tex]=\frac{2x^2+2h^2+4hx-3x-3h+7-2x^2+3x-7}{h}[/tex]
[tex]=\frac{2h^2+4hx-3h}{h}[/tex]
= 2h + 4x - 3
Plzzzz someone help. Will mark brainiest is correct!!!!
Photo attached
Answer:
Your last step ( step 5 ) :
[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{c}{a} + \frac{ {b}^{2} }{4 {a}^{2} } [/tex]
Step 6:
[tex]{ \boxed{x + ( \frac{b}{2a}) = ± \frac{ \sqrt{ {b}^{2} - 4ac } }{ \sqrt{4a^2} } }}[/tex]
Step-by-step explanation:
[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{4ac}{4 {a}^{2} } + \frac{ {b}^{2} }{4 {a}^{2} } \\ \\ {x}^{2} + \frac{b}{a} x = \frac{4ac}{4a {}^{2} } \\ \\ {x} = \sqrt{ \frac{ - 4ac + b {}^{2} }{4a {}^{2} } } [/tex]
.,............. ..... ..nnkkjk
What type of number is that? Multiple answers.
Answer:
A & C
Step-by-step explanation:
-9 is a whole number is rational
which choice is the solution set for the inequality below
x < 3
Answer:
B) x < 9
Step-by-step explanation:
√x < 3
(√x)² > 3²
x < 9
Plz Help I Will Mark Brainliest If Right!!!!!!!!!!!!!!!!!!!!!!!
Determine the domain of the function.
f as a function of x is equal to the square root of one minus x.
A). All real numbers
B). x > 1
C). x ≤ 1
D). All real numbers except 1
Hey There!!~
Your best answer choice is B). x > 1.
Good Luck!!
A cotton candy vendor has 27 cones of blue cotton candy to sell. If the blue cotton candy is 75% of the total number of cones, how many total cotton candy cones does he have?
Answer:
36
Step-by-step explanation:
Let the total number of cotton candy = A
Number of blue cotton candy = 27 cones
Percentage of blue cotton candy = 75%
Therefore, the total number of cotton candy is calculated as:
27/A × 100 = 75%
2700/A = 75
Cross Multiply
75A = 2700
A = 2700/75
A = 36
Therefore, the amount of total cotton candy that we have is 36.
6. It started snowing at 1 P.M.. At 6 P.M., the total snowfall is 8 centimeters.
What is the mean hourly snowfall?
is this finding the unit rate cause i forgot how to please someone answer quick!!!
Answer:
(8/5) Centimeyers
Step-by-step explanation:
From 1 PM to 6 PM there is a 5 Hour difference.
Mean (total/hours) = 8/5
Answer:
1.6 cm/hour.
Step-by-step explanation:
Yes it is the unit rate.
So mean horly snowfall = total snowfall / time
= 8 / (6 - 1)
= 8/5
= 1.6 cm/hour.
Simplify 2√28 - 3√63. I will give BRAINLIEST!
[tex]2\sqrt{28}-3\sqrt{63}=2\sqrt{4\cdot7}-3\sqrt{9\cdot7}=4\sqrt7-9\sqrt7=-5\sqrt7[/tex]
what is the equation of the line written in general form?
Answer:
option 2 or y + x -2 = 0
Step-by-step explanation:
Given a line on a graph, it is easiest to start with point-slope form.
y = mx + b
where m is the slope (rise/run) and b is the y-axis intercept.
From the plot m = -2/2 = -1 and b = 2 SO
y = mx + b
y = -x + 2
Then the general form is
y + x -2 = 0
it the repeating number 0.362799791799176191... rational or irrational and why
Answer:
no, because the number is not repeating
Step-by-step explanation:
Camila llama a cuatro compañeras y les informa sobre una campaña de recoleccion de alimentos. Cada una de estas amigas llama a otras cuatro amigas para contarles sobre la campaña, y luego estas llaman a 4 nuevas amigas.¿cuantas amigas se enteran de este llamado?
Answer:
El total de amigos que se enteran del es 84 amigos.
Step-by-step explanation:
Camila llama a cuatro acompañantes y les informa sobre una colecta de alimentos. Cada uno de estos amigos llama a otros cuatro amigos para contarles sobre la campaña, y luego llaman a 4 nuevos amigos. ¿Cuántos amigos se enteran de esta llamada?
El número de compañeros que llamó Camila = 4 amigos
Cada uno de los cuatro amigos llamó a otros cuatro amigos para hacer = 4 × 4 = 16 amigos
Cada uno de los dieciséis amigos llamó a otros cuatro amigos para hacer = 16 × 4 = 64 amigos
Por lo tanto, el número total de amigos que se enteran de la llamada para dar información sobre una colecta de alimentos = 4 + 16 + 64 = 84 amigos.
2. Solve | 2x - 11 | < 3.
Answer:
4<x<7Step-by-step explanation:
[tex]\left|2x-11\right|<3\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:<\:a,\:a>0\:\mathrm{then}\:-a\:<\:u\:<\:a\\\\-3<2x-11<3\\\\2x-11>-3\quad \mathrm{and}\quad \:2x-11<3\\\\2x-11>-3\quad :\quad x>4\\\\2x-11<3\quad :\quad x<7\\\\x>4\quad \mathrm{and}\quad \:x<7\\\\4<x<7[/tex]
11
12
The data set represents the total number of tickets each person purchased for a play.
0, 0, 1, 1, 1, 2, 2, 2, 4, 4
What is the median of the data?
O 1
O 1.5
02
O 2.5
Answer:
1.5 because it is the average of the two middle numbers in this scenario.
The median of the data is 1.5 if the data set represents the total number of tickets each person purchased for a play option, second is correct.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have data:
0, 0, 1, 1, 1, 2, 2, 2, 4, 4
There are two mid-values in the middle that is 1 and 2
The mean of these two values will be median:
[tex]\rm Median = \dfrac{1+2}{2}[/tex]
Median = 1.5
Thus, the median of the data is 1.5 if the data set represents the total number of tickets each person purchased for a play option second is correct.
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Solve A = 1/2bh for h
Answer:
2A /b = h
Step-by-step explanation:
A = 1/2 bh
Multiply each side by 2
2A = 2*1/2 bh
2A = bh
Divide each side by b
2A/b = bh/b
2A /b = h
Compute the value of each expression |-1||-||5|
Answer:
5
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between − 1 and 0 is 1
1 |-5|
Multiply | − 5 | by 1
The absolute value is the distance between a number and zero. The distance between − 5 and 0 is 5
Hope this can help
You check 20 batteries.Fourteen of the batteries do not have a charge. What is the experimental probability that the next battery you check does not have a charge?
Answer:
[tex]\dfrac{7}{10}[/tex]
Step-by-step explanation:
Given that
Number of batteries that do not have a charge = 14
Total number of batteries = 20
To find:
Experimental probability that the next battery checked does not have a charge = ?
Solution:
First of all, let us learn about the definition of experimental probability.
Probability is the chances of happening of an event.
Formula for probability of happening of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here we have to find the probability of checking a battery that has no charge.
So, number of favorable cases = Number of batteries that do not have a charge = 14
AND
Total Number of cases = Total number of batteries to be checked = 20
So, the required probability is:
[tex]\dfrac{14}{20} = \bold{\dfrac{7}{10}}[/tex]
pls help solve for x
Answer:
x=4
Step-by-step explanation:
(x-1+5)×5=(2+x+4)×4
or, 5×(x+4)=4×(x+6)
or, 5x+20=4x+24
or, 5x-4x=24-20
or, x=4