Answers
Answer:
[tex]\displaystyle 3,8 ≈ AC[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{4}{AC} = csc\:70 \hookrightarrow ACcsc\:70 = 4 \hookrightarrow \frac{4}{csc\:70} = AC \hookrightarrow 3,7587704831... = AC \\ \\ 3,8 \approx AC[/tex]
OR
[tex]\displaystyle \frac{AC}{4} = sin\:70 \hookrightarrow 4sin\:70 = AC \hookrightarrow 3,7587704831... = AC \\ \\ 3,8 \approx AC[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
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Related Questions
Identify the graph of exponential graph
Answers
Hope it helps
What is the length of YZ?
Answers
Answer:
28.6 units
Step-by-step explanation:
44/36=35/YZ
44 YZ = 35*36
44 YZ = 1260
YZ = 28.6 units
PLEASE ILL GIVE BRAINLIEST
Ahmed has 31 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 535 cents, how many dimes and how many quarters does he have?
Answers
Answer:
19 dimes and 15 quarters.
Step-by-step explanation:
Lets substitute in the equation
565=10x+25(34-x)
565=10x+850-25x
15x=285
x=19
So...
34-19=15
Explanation:
34=x+y
34−x=y
565=10x+25y
Substitute the first equation, so
565=10x+25(34−x)
565=10x+850−25x
15x=285
x=19 dimes
Therefore
34−19= 15 quarters
Find the surface area of the rectangular prism (type the number
only)
2.6
4.2 ft
6.8 ft
HELP
Answers
n manufacturing a product, 85% of the units that are produced are not defective. Of the products inspected, 10% of the good ones (i.e., not defective) are falsely seen as defective and not shipped whereas only 5% of the defective products end up approved and shipped. If a product is shipped, what is the probability that it is defective?
Answers
Answer:
0.0097 = 0.97% probability that it is defective
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Product is shipped.
Event B: It is defective.
Probability of the product being shipped:
100 - 10 = 90% of 85%(not defective).
5% of 100 - 85 = 15%(defective). So
[tex]P(A) = 0.9*0.85 + 0.05*0.15 = 0.7725[/tex]
Probability of being shipped and being defective:
5% of 15%. So
[tex]P(A \cap B) = 0.05*0.15 = 0.0075[/tex]
What is the probability that it is defective?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0075}{0.7725} = 0.0097[/tex]
0.0097 = 0.97% probability that it is defective
Find the measure of the missing side PQ using trig ratios
Answers
Answer:
take 48 degree as reference angle
use sine rule
sin48=opposite/hypotenuse
0.74=5.4/x
x0.74=5.4
x=5.4/0.74
x=7.29 m
Step-by-step explanation:
Answer:
[tex]sin 48 = \frac{5.4}{X}\\\\X = \frac{5.4}{sin 48}= 7.27m[/tex]
determine the most appropriate hypothesis test to use for the following scenario: the august 2008 edition of academy of management journal featured an investigation of the performance and tiing of corporate acquisitions. the investigations discovered that in random sample of 2778 firms, 748 annouced one or more acquisitions during the year 2000. does the sample provide suffcient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 30%
Answers
Answer:
Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%
Step-by-step explanation:
Testing hypothesis about a population proportion when sample size is large.
If the sample size is large then the variable
z= p^-p / sqrt [pq/n]
is approximately standard normal.
Formulate the hypotheses as
H0 : p < 30% against the claim Ha: p ≥ 30%
Choose the significance level ∝= 0.05
the critical region is z ≥ 1.645 because the alternative hypothesis is stated on a greater than or equal to basis.
Computing
Z= 748-(2778*0.3)/ √2778*30/100*70/100
z= 748-833.4/√583.38
z= -85.4/24.153
z=-3.5357
Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%
The p- value is 0.0002
find K if 4 x square - 2 X square + kx + 5 leaves a remainder -10 when divided by 2x+1
Answers
Answer:
[tex]k = 31[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x^2 - 2x^2 + kx + 5[/tex]
[tex]r = -10[/tex] --- remainder
[tex]d = 2x + 1[/tex] --- divisor
Required
Find k
We have:
[tex]d = 2x + 1[/tex] --- divisor
Equate to 0
[tex]2x + 1 = 0[/tex]
Solve for x
[tex]2x = -1[/tex]
[tex]x =-0.5[/tex]
This means that:
[tex]f(-0.5)=-10[/tex]
So, we have:
[tex]4*(-0.5)^2 - 2*(-0.5)^2 + k*-0.5 + 5 =-10[/tex]
[tex]0.5 -0.5k + 5 =-10[/tex]
Collect like terms
[tex]-0.5k=-10-5-0.5[/tex]
[tex]-0.5k=-15.5[/tex]
Solve for k
[tex]k = -15.5/-0.5[/tex]
[tex]k = 31[/tex]
The Smiths painted their house blue. The complete predicate of this sentence is _____.
Smiths
the Smiths
Answers
The librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books checked out each day. The assistant took a sample and found the mean to be 880 books. She provides the librarian with an interval estimate of between 790 and 970 books checked out per day. An efficient, unbiased point estimate of the number of books checked out each day at the Library of Congress is
Answers
Answer:
a. 880
Step-by-step explanation:
Options are "a. 880 b. 90 c. 790 d. None of these choices"
Interval estimate of between 790 and 970 books checked out per day.
Lower limit is 790, Upper limit is 970
Point estimate of μ(x) = [Upper limit + Lower limit} / 2
Point estimate of μ(x) = [970 + 790] / 2
Point estimate of μ(x) = 1760/2
Point estimate of μ(x) = 880
So, the efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is 880.
PLS HELP ASAP I WIL MARK BRAINLIEST
Answers
Answer:
[tex]x=80^{\circ},\\y=80^{\circ}[/tex]
Step-by-step explanation:
The measure of an angle formed by a secant and a tangent outside of a circle is half of the absolute difference between the two arcs it forms. Therefore, we have the following equation:
[tex]m\angle A=\frac{\widehat{BC}-\widehat{BD}}{2}[/tex]
Substituting given values, we get:
[tex]20=\frac{120-x}{2},\\40=120-x,\\x=\boxed{80^{\circ}}[/tex]
Since there are 360 degrees in a circle, we can write the following equation, using [tex]x[/tex], to solve for [tex]\widehat{DC}[/tex]:
[tex]x+\widehat{DC}+120=360,\\80+\widehat{DC}+120=360,\\\widehat{DC}=\boxed{160^{\circ}}[/tex]
The value of the angle formed by a chord and a tangent is half the measure of the arc it forms. Therefore,
[tex]y=\frac{\widehat{DC}}{2}=\frac{160}{2}=\boxed{80^{\circ}}[/tex]
The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
How much tax would you pay on that item?
Answers
9514 1404 393
Answer:
$5.54
Step-by-step explanation:
8.8% of $63 is ...
0.088×$63 = $5.544
The tax is rounded to the nearest cent, so you would pay $5.54 in tax.
Answer: 5.54
Step-by-step explanation: khan said it was correct
what time is it from where y’all live ?
Answers
Answer:
1 Pm
Step-by-step explanation:
Answer:
3:18 Pm
Step-by-step explanation:
Nice picture of mute button
Boris started to run on a treadmill after setting its timer for 92 minutes. The display says that he has finished 73% of his run. How many minutes have gone by?
Round your answer to the nearest tenth.
Answers
Answer:
67 minutes
Step-by-step explanation:
Maria is bringing her sick dog Pedro in for a series of appointments at the
veterinary clinic. Her total cost over the course of treatment will be $150 for tests
and medicine plus $30 per appointment, a.
Answers
Answer:
need help asap
Step-by-step explanation:
Solve the following: You purchase a set of Bluetooth earbuds for $45 and use a $5 off manufacturer's coupon. If sales tax is 8.25%, how much do you pay for the earbuds? Include the dollar sign in your answer and round to two decimal places.
Answers
Answer:
43.3
Step-by-step explanation:
45-5=40,
0.0825*40=3.3
40+3.3=43.3
Which is less: an angle showing a turn 1/3 of a circle or an angle showing a turn through1/4 of a circle ?
Answers
Answer:
1/4 of a circle is less
Step-by-step explanation:
1/4=90°
1/3=120°
Mr. Halsey leans a ladder against an 11.5 foot wall the bottom the of the ladder is 3.5 ft from the base of the wall as shown what is the approximate length of the ladder
Answers
Explanation :(x)^2=(11.5)^2+(3.5)^2
X^2=132.25+12.25
X^2=144.5 then square root it
X=12 feet
Hence, the approximate length of the ladder is [tex]12ft[/tex].
What is the approximation value?
An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.
A calculation can be approximated by rounding the values within it before performing the operations.
Here given that,
[tex](x)^2=(11.5)^2+(3.5)^2\\X^2=132.25+12.25\\X^2=144.5 \\X=\sqrt{144.5}\\X=12 feet[/tex]
Hence, the approximate length of the ladder is [tex]12ft[/tex].
To know more about the approximation value
https://brainly.com/question/29580932
#SPJ2
What is the slope of the line?
Answers
Answer:
The slope of a line characterizes the direction of a line.
Step-by-step explanation:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Answer:
-2
Step-by-step explanation:
need it asap!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
perimeter=2(l+w)
26=2(2x-2+10-x)
26=2(x+8)
26/2=x+8
13=x+8
13-8=x
5=x
Answer:
x=5
Step-by-step explanation:
a=2x-2
b=10-x
Formula
2 x(a+b)=26
(2x-2)+(10-x)=26/2
2x-x-2+10=13
x+8=13
x=13-8
x=5
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
Express y-4[y-3(y-2)] -5 in simplest form
Answers
Answer:
y^3 - 9y^2 + 26y - 29
Step-by-step explanation:
y - 4[y - 3(y - 2)] - 5
I'm going to separate it into parts
(y - 3)(y - 2)
y^2 - 5y + 6
(y - 4)(y^2 - 5y + 6)
y^3 - 5y^2 + 6y - 4y^2 + 20y - 24
y^3 - 9y^2 + 26y - 24
y^3 - 9y^2 + 26y - 24 - 5
y^3 - 9y^2 + 26y - 29
plzzzzz help me i have no clue
Answers
Answer: Maybe a
Step-by-step explanation:
I mean it is confusing but still look over it
Answer:
The bottom one looks correct
Step-by-step explanation:
Any number from 1-infinity will make that true
what number shoild come next 100,96,88,72
Answers
Answer - 40
----------
100 - 4
96 - 8
88 - 16
72 - 32
Is x = 9 in the solution set of the inequality x + 14 < 20
Yes or no
Answers
Answer: No
Step-by-step explanation:
Data: x+14<20
x=9? Is what your trying to find
Step one, Isolate x by subtracting 14 on both sides
X+14-14<20-14=X=6
Reason: Since you are trying to find if x=9, you have to isolate it. The way to do that is to get rid of +14 by subtracting it by 14. However, since what you do to one side you do to the other, you subtract +20 by 14 to get 6.
Since x=6 isn't x=9, the answer is No
Answer: No
I hope this helps!
beti ate 1/8 of the cake.nati had 2 smaller pieces.she ate 2/16 of the cake.who ate more cake? what fraction of the cake left?
Answers
Answer:
Both ate the same amount of cake, there will be 6/8 or 3/4ths of the cake left.
Step-by-step explanation:
2/16 is equivalent to 1/8. Therefore they ate the same amount of cake.
Answer:
they ate the same amount 1/8 and 2/16 are the same thing.3/4
Step-by-step explanation:
they both ate 1/8 so 8/8-2/8=6/8=3/4 of the cake left
Patrica buys a total of 5 party hats and 5 balloons for the children at a party. Each party hat costs $0.50. Patrica spends a total of $7.50 for the party hats and the balloons. Enter an equation that models the situation with b, the cost of 1 balloon.
Answers
Answer:
b=2.5-7.50
Step-by-step explanation: so 5 party hats cost 50 cents, so times that by 5 to get 2.50, and then use the 7.50 and minus it.
Please help me fast i need help
First question: less or greater
Second question: decrease or increase
Third question: would or would not
fourth question: correct or incorrect
You have to choose the answer's
Ok
Answers
Answer:
Look at the image.
Step-by-step explanation:
Draw the net figure label the net with appropriate dimensions in centimeters
Answers
Answer:
your answer has to be A or B cuz the rest fo match up with the measurements
Step-by-step explanation:
HELPP, RIGHT TRIANGLES AND TRIGONOMETRY
Answers
Step-by-step explanation:
x²=6²+8²
=36+64
= 100
x=√100 = 10
Answer:
[tex]\displaystyle 10 = x[/tex]
Step-by-step explanation:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 6^2 = x^2 \hookrightarrow 64 + 36 = x^2 \hookrightarrow \sqrt{100} = \sqrt{x^2} \\ \\ \boxed{10 = x}[/tex]
We only want the NON-NEGATIVE root sinse we are measuring the length of the hypotenuse.
I am joyous to assist you at any time.
If the radius of the circle x² + y2 - 4x - 6y - k = 0 is
4 units, find the value of k.
Answers
Answer: 3
Step-by-step explanation:
Given
The equation of the circle is [tex]x^2+y^2-4x-6y-k=0[/tex]
Using completing the square method
[tex]\Rightarrow x^2+y^2-4x-6y+4-4+9-9-k=0\\\Rightarrow \left( x^2-4x+4\right)+\left( y^2-6y+9\right)-\left( k+4+9\right)=0\\\Rightarrow \left( x-2\right)^2+\left( y-3\right)^2=\left( k+13\right)[/tex]
on comparing with standard form, [tex]r^2=k+13[/tex]
Insert the value of r
[tex]\Rightarrow 4^2=k+13\\\Rightarrow k=16-13\\\Rightarrow k=3[/tex]