Answer:
46305
Step-by-step explanation:
In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 3, EB = 4, CE = x, and ED = x + 1, find. CE.
Answer:
CE = 3
Step-by-step explanation:
Given:
AE = 3
EB = 4
CE = x
ED = x + 1
Required:
CE
Solution:
First we need to determine the value of x by generating am equation as follows:
CE × ED = AE × EB (Interacting Chords Theorem)
Substitute
x × (x + 1) = 3 × 4
x² + x = 12
Subtract 12 from each side
x² + x - 12 = 12 - 12
x² + x - 12 = 0
Factorize to find the value of x
x² + 4x - 3x - 12 = 0
x(x + 4) -3(x + 4) = 0
(x - 3)(x + 4) = 0
x - 3 = 0
x = 3
Or
x + 4 = 0
x = -4
Let's use the positive value of x
CE = x = 3
What’s the range of the function on the graph?
Watch help video
Solve for 2. Round to the nearest tenth, if necessary.
5-3
O
52
х
N
Answer:
x = 3.3
Step-by-step explanation:
Reference angle = 51°
Hypotenuse = x
Adjacent = 5.3
Apply trigonometric function CAH, which is:
Cos 51° = Adj/Hyp
Cos 51° = 5.3/x
x*Cos 51° = 5.3
x = 5.3/Cos 51°
x = 3.3 (nearest tenth)
Under the translation (X +3, y - 1) the point (3,4) will become (0.5)
True or False
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Answer:
False
Step-by-step explanation:
Point (3, 4) will become (3+3, 4-1) = (6, 3), not (0, 5). The statement is False.
_____
Additional comment
The point (0, 5) would be translated to (3, 4). That is not what the question is asking.
help me :) which this question plzzzz !!
I believe its <ABF =<EDJ
In ΔIJK, the measure of ∠K=90°, KJ = 65, IK = 72, and JI = 97. What is the value of the cosine of ∠J to the nearest hundredth?
Answer:
[tex]\cos(J) = 0.67[/tex]
Step-by-step explanation:
Given
[tex]\angle K = 90^o[/tex]
[tex]KJ = 65[/tex]
[tex]IK = 72[/tex]
[tex]JI = 97[/tex]
Required
[tex]\cos(J)[/tex]
The question is illustrated with the attached image.
From the image, we have:
[tex]\cos(J) = \frac{KJ}{JI}[/tex]
This gives:
[tex]\cos(J) = \frac{65}{97}[/tex]
[tex]\cos(J) = 0.67010309278[/tex]
[tex]\cos(J) = 0.67[/tex] --- approximated
Find the center and foci of the ellipse:
16x2 + 25y2 – 64x – 50y - 311 = 0
Answer:
You should first make sure you explain what exactly is the question, before delete others answers.♀️♀️
Step-by-step explanation:
In 2011, there were 150 participants in a quiz competition. In 2012, there were 185 participants in this quiz competition.
Select the true statement about participants in the quiz competition from 2011 to 2012. Percentages are rounded to the nearest tenths place.
a.) The absolute change is 35 students and the relative change indicates an increase of 18.92%.
b.) The absolute change is -35 students and the relative change indicates a decrease of 23.3%.
c.) The absolute change is 35 students and the relative change indicates an increase of 23.3%.
d.) The absolute change is -35 students and the relative change indicates a decrease of 35%.
Answer:
c.) The absolute change is 35 students and the relative change indicates an increase of 23.3%
Step-by-step explanation:
the participants increasing = 185-150=35
the percentage = 35/150 × 100% = 23.3%
Option (C) The absolute change is 35 students and the relative change indicates an increase of 23.3% is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
In 2011, there were 150 participants in a quiz competition. In 2012, there were 185 participants in this quiz competition.
c) The absolute change is 35 students and the relative change indicates an increase of 23.3%
The change in participent = 185 - 150 = 35
Percentage change = (35/150)×100 = 23.3%
Thus, option (C) The absolute change is 35 students and the relative change indicates an increase of 23.3% is correct.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
Suppose you receive the following ANOVA output in this study. What is the correct conclusion about this data (in correct APA format)?
ANOVA
Time Sum of df Mean Square F Sig. Squares Between Groups 91.467 2 45.733 4.467 021 Within 276.400 27 10.237 Groups Total 367.867 29
a. The effect of training on how long it takes to solve the problem was significant, F(2, 27)- 4.47, p> 05.
b. The effect of training on how long it takes to solve the problem was significant, F(2, 27) -4,47, p .05.
c. The effect of training on how long it takes to solve the problem was not significant, F(27, 2)-4.47, p >.05.
d. The effect of training on how long it takes to solve the problem was significant, F(2, 29) - 4.47. p ,05.
Answer:
The answer is "Option b"
Step-by-step explanation:
Through this context, it is determined that the p-value is much less than 0.05, which is 0.021, so the rejection of the null hypothesis at 5%. There should be enough evidence to demonstrate that now the effect of the organization was substantial on how long it has taken to solve the issue. This result is statistically important.
The correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.
From the table, we have the following values
F = 4.467
df between group = 2
df within group = 27
To reference the result, we make use of:
F(df between group, df within group) = F value
So, we have:
F(2, 27) = 4.47
The above result shows the F value approximated to two decimal points
Hence, the correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.
Read more about APA styles at:
https://brainly.com/question/858964
Select 3 sides that can form a right triangle.
Answer: 14, 48, 50
Step-by-step explanation:
14^2+48^2=50^2
The Fighting Hens' record has improved every year. The 2016 team won 3
more games than the 2015 team, and the 2017 team won 2 more games
than the 2016 team. If the 2017 team won 20 games, how many did the 2015
team win?
Answer:
15
Step-by-step explanation:
just calculate backwards
20 -2 -3
Answer:
The answer would be 15.
Step-by-step explanation:
I agree with the previous answer, in these cases you just calculate backward.
You start out with 20, then it states 2017 team won 2 more games, so you subtract 2. So now we know the 2016 team won 18 games.
Next we subtract 3 to get how many wins the 2015 team got. 18 - 3 is 15.
The answer would be 15.
I NEEED HELP ASAP PLEASE
Answer:
17.6
Step-by-step explanation:
19sin(68) = 17.6
Please answer this: There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 158 inches?
Answer:
40 m
Step-by-step explanation:
158 · 2.54 = 401.32
401.32/100 = 40.132
40.132 ≈ 40
play help me on this
Answer:
VTU T UTV all work
Give me brainiest answer please it helps a lot! :D
Step-by-step explanation:
Answer:
The answer is A <VTU, B <T and D <UTV
Gary has four times as many points as Frank. Evan has five times as many as Frank. Dave is two times as many as Frank. altogether they have a total of 1,260 points
Answer:
the answer to this would be 114 i think sorry is im wrong
Step-by-step explanation:
Shannon was born on 12/21/1982. How many eight digit codes could she make using the digits in her birthday?
============================================================
Explanation:
Ignoring the slashes, there are 8 digits here. If we could tell those '1's and '2's apart, then we'd have 8! = 40,320 different codes. The exclamation mark indicates a factorial.
However, the '1's and '2's are indistinguishable. We have to divide by a!*b! = 3!*3! = 6*6 = 36 to account for this.
The a! = 3! = 6 is from the fact we have 3 copies of '1'.
The b! = 3! = 6 is from the fact we have 3 copies of '2'
Dividing by 36 gets us (40,320)/36 = 1120
Which value of n would make 3√n=8
Answer:
n = 64/9
Step-by-step explanation:
3√n=8
Divide each side by 3
3/3√n=8/3
sqrt(n) = 8/3
Square each side
(sqrt(n))^2 = (8/3)^2
n = 64/9
Answer:
n = 64 / 9
Step-by-step explanation:
3√n = 8
Divide both side of equation by 3
3√n / 3 = 8/3
√ n = 8 / 3
Square both side of equation
√n² = √(8/3)
n = 64/9
Please write an answer with NO FILES, NO LINKS, AND NO WRONG OR TRICK ANSWER!
Answer:
18 inches
Step-by-step explanation:
A=L·H
108 in²=L·6 in
L=[tex]\frac{108}{6}[/tex]
L=18 inches
Select the points that are solutions to the system of inequalities. Select all that apply A. (-12, 0) B. (1, 2) C. (0, 0) D. (-10, 1)
Answer:
B. (1, 2)
D. (-10, 1)
Step-by-step explanation:
Both points land in the highlighted area.
Hope this helps! :)
Answer:
The correct answer would be
A. (–12, 0) & D. (–10, 1)
Help me out thanks !!!!!!!!!!
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Answer:
(b) 93°
Step-by-step explanation:
Assuming the line containing YT is a diameter, the measure of angle UYT is ...
180° -87° = 93° = m∠UYT
A marine biologist wanted to construct a t interval to estimate the mean weight of marine otters using 98% confidence. They took a random sample of n = 8 marine otters to measure their weights. These weights were roughly symmetric with a mean of 2 = 4.5 kg and a standard deviation of sx = 1.1 kg.What critical value t* should they use?
Answer:
CI 98 % = ( 3.332 ; 5.668 )
t(c) = 2.9979
Step-by-step explanation:
Confidence Interval CI 98 % then α = 2 % α = 0,02 α/2 = 0.01
Sample information:
Sample size n = 8
sample mean x = 4.5
standard deviation of sample s = 1.1 kg
degree of freedom df = n - 1 df = 8 - 1 df = 7
With α/2 0.01 and df = 7 from t-studente table we find t(c)
t(c) = 2.9979
CI 98 % = ( x ± t(c) * s/√n )
CI 98 % = ( 4.5 ± 2.9979 * 1.1/ √8 )
CI 98 % = ( 4.5 ± 3.2976/2.8228 )
CI 98 % = ( 4.5 ± 1.168 )
CI 98 % = ( 3.332 ; 5.668 )
A rancher has 600600 feet of fencing to put around a rectangular field and then subdivide the field into 33 identical smaller rectangular plots by placing two fences parallel to one of the field's shorter sides. Find the dimensions that maximize the enclosed area. Write your answers as fractions reduced to lowest terms.
Answer:
x = 150 ft
y = y = 150 / 17 ft
Step-by-step explanation:
Area of the field is A = x*y
Let´s assume x is the larger side of the rectangle, and that we will get 33 identical smaller rectangular plots dividing x into 33 rectangles ( using 34 sides of length y ) then the quantity of fence is:
p = 2*x + 34*y ⇒ 600 = 2*x + 34*y y = ( 600 - 2*x)/34
A = x*y
A (x) = x* ( 600 - 2*x)/34
A (x) = ( 600*x - 2*x²)/34
Taking derivatives on both sides of the equation:
A´(x) = (1/34)* ( 600 - 4*x )
A´(x) = 0 (1/34)* ( 600 - 4*x ) = 0 600 - 4*x = 0
x = 600/4
x = 150 feet
And y = (1/34)( 600 - 2*150)
y = 300/34 y = 150 / 17 ft
y = 8.82 ft
How do we know that is a maximum area, we find the second derivative of A
A´´(x) = - 4/34 then A´´(x) < 0
We get a maximum of function A for the value x = 150
Substitute the isolated variable into the second equation. I need help with this, i don’t understand.
Answer:
Step-by-step explanation:
Substitute the value for y or x into the equation thats listed with it.
For the first one, substitute 3 in place of y.
3x + 6 y = 60 turns into
3x + 6 * 3 = 60
3x + 18 = 60
3x = 60-18
3x = 42
x = 42/3
x = 14
Apply the same to the other equations
10x + 4y = 70 turns into
10 * 5 + 4y = 70
Then solve for y
Possible answers, 35, 30, 90,64
Answer:
30
Step-by-step explanation:
this is a right-angled triangle.
as we can see on the graph and the coordinate units,
AB = 4
BC = 7
=>
AC² = AB² + BC² = 4² + 7² = 16+49 = 65
AC = sqrt(65)
now, in every triangle there are certain ratios equal to each other.
a/sin(A) = b/sin(B) = c/sin(C)
a is here BC
b is here AC
c is here AB
and we know B = 90 degrees
sin(90) = 1
so, we have
sqrt(65)/1 = 4/sin(C)
sqrt(65) = 4/sin(C)
sin(C) = 4/sqrt(65) = 0.496138938...
C = 29.7448813...
the closest answer option is 30.
football team consists of 20 each freshman and sophomores, 15 juniors, and 10 seniors. Four players are selected at random to serve as captains. Find the probability that.
a. All 4 are seniors.
b. There is 1 each: freshman, sophomore, junior, and senior.
c. There are 2 sophomores and 2 freshmen.
d. At least 1 of the students is a senior.
Answer:c
Step-by-step explanation:
c
The product of 4 and the depth of the pool
Answer:
product means multiplication (×) so what ever is the depth of the pool is multiplied by 4
Step-by-step explanation:
what is the depth of the pool?
What is the answer to this equation
Answer:
[tex]x = - \frac{494}{3}[/tex] [tex]= - 164\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]75 + \frac{3}{8} x = 13\frac{1}{4}\\\\75 + \frac{3}{8} x = \frac{53}{4}\\\\\frac{3}{8}x = \frac{53}{ 4} - 75\\\\\frac{3}{8}x = \frac{53-300}{4}\\\\\frac{3}{8}x = - \frac{247}{4}\\\\x = -\frac{247 \times 8}{4 \times 3} \\\\x = -\frac{494}{3}[/tex]
A force of 50 pounds acts on an object at an angle of 45 degrees. A second force of 75 pounds acts on the object at an angle of -30 degrees. Find the direction and magnitude of the resultant force.
Answer:
The magnitude of the resultant force is:
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]\theta=1.2^{\circ}[/tex]
Step-by-step explanation:
Let's find the components of each vector is x and y-directions first.
Sum of x-component vector forces.
[tex]F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)[/tex]
[tex]F_{tot-x}=50cos(45)+75cos(30)[/tex]
[tex]F_{tot-x}=100.3 \: pound[/tex]
Sum of y-component vector forces.
[tex]F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)[/tex]
[tex]F_{tot-y}=-50sin(45)+75sin(30)[/tex]
[tex]F_{tot-y}=2.1 \: pound[/tex]
The magnitude of the resultant force is:
[tex]R=\sqrt{100.3^{2}+2.1^{2}}[/tex]
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]tan(\theta)=\frac{2.1}{100.3}[/tex]
[tex]\theta=arctan(\frac{2.1}{100.3})[/tex]
[tex]\theta=1.2^{\circ}[/tex]
I hope it helps you!
Please help me with this question
Answer:
B
Step-by-step explanation:
In a boxplot, when the median is in the middle of the box, or when there are equal proportions around the median, the distribution is symmetric. As is shown here, the median is closer to the left side of the box, making it positively skewed (the mean is greater than the median) and not symmetric.
Find the volume of the prism.
The volume of the prism is (B) 864 mm3
