Answer:
49:52
Step-by-step explanation:
Help
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Answer:
48
Step-by-step explanation:
Apply pythagorean theorem, a² = c² - b²
Where, a = third side
b = 55
c = 73
Plug in the values
a² = 73² - 55²
a² = 2,304
a = √2,304 = 48
a = 48
Standard form of 2057
Answer: 2,000 + 50 + 7
Answer: 2.057 x 10^3
Step-by-step explanation:
solve for sin3theta
Answer:
sin 3 θ = 3 sin θ - 4 sin³θ
Step-by-step explanation:
Step(i):-
Given sin 3 θ
= sin ( 2θ + θ )
apply trigonometric formula
sin ( A + B) = sin A cos B + cos A sin B
sin 2 A = 2 sin A cos B
Cos 2 A = 1 - 2 sin² A
cos ² A - sin ² A = 1
Step(ii):-
sin 3 θ = sin ( 2θ + θ )
= sin 2θ cosθ + cos2θ sin θ
= 2 sin θ cos θ cos θ +( 1 - 2 sin² θ )sin θ
= 2 sin θ (cos² θ ) + sin θ- 2 sin³ θ
= 2 sin θ ( 1- sin²θ) + sin θ- 2 sin³ θ
= 2 sin θ - 2sin³θ + sin θ- 2 sin³ θ
= 3 sin θ - 4 sin³θ
Final answer :-
sin 3 θ = 3 sin θ - 4 sin³θ
Pls help urgently extra points and mark brainlist
Answer:
1/36
Step-by-step explanation:
To multiply fractions, multiply the numerators and denominators straight across and keep them in the same spots.
Answer:
I think the answer is 1/36
Step-by-step explanation:
What is the coefficient in the following equation: p - 6 = 3
Answer:
1
Step-by-step explanation:
The coefficient is the number being multiplied with the variable, since p is simply just p, it's just being multiplied by 1.
Answer:
There is no coefficient
josh, lisa, and vicki each ate 1/4 or their own pizza. each pizza was the same size , but josh ate 1 slice, lisa ate 2 slices and vicki ate 3 slice. How is this possible.
Answer:
Josh's pizza was cut into 4 peices,Lisa's pizz was cut into 8 slices and viki's pizza was cut into 12 peices
Step-by-step explanation:
so this is possible because all of their pizza's were cut in to different amount of slices
Answer:
Step-by-step explanation:
Because Josh's pizza was in 4ths and he only ate one piece, Lisa's pizza was in 8ths and she ate two 8ths of the pizza which also equals 1/4 of a pizza, and Vicki's pizza was in 12ths and she ate three slices which equals 1/8 of a pizza and another 1/12 of the pizza, or also equals 1/4 of a pizza, so THAT is how it is possible.
Winston drew a scale drawing of a neighborhood park. A soccer field in the park is 9 inches wide in the drawing. The actual field is 63 yards wide. What scale did Winston use for the drawing?
YOUR PFP IS AMAZING!!!! w(ﾟДﾟ)w
Btw in the drawing the width 160 inches || you have to divide the 64 yds by the 2 from the scale then multiply by 5 inches (5 in= 2 yds) then you get 160.
Find the slope of a line that passes through the given points:
(5.1) and (8,3)
Answer:
2/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
3-1/8-5
2/3
Best of Luck!
2247 divided by 7. I really don't know the answer. I have to show the work but don't know how to solve the problem
Answer: the answer is 321 :)
Step-by-step explanation:
So, 7/2247
Down below that’s the show your work part. Hope this helps and good luck
3. National Discount has 260 retail outlets throughout the United States. National evaluates each potential location for a new retail outlet in part on the mean annual income of the households in the marketing area of the new location. National develops an interval estimate of the mean annual income in a potential marketing area after taking a random sample of households.For a marketing area being studied, a sample of 36 households was taken and the sample mean income was $21,100.39. Based on past experience, National Discount assumes a known value of $4500 for σ=the population income standard deviation.a. Develop a 95% confidence interval for the mean annual income of households in this marketing area. (5 point)
Answer:
(19630.39 , 22570.39)
Step-by-step explanation:
Given that:
Mean, m = 21100.39
Standard deviation, σ = 4500
Sample size, n = 36
Zcritical at 95% = 1.96
Confidence interval (C. I) :
m ± Zcritical(σ/√n)
21100.39± 1.96(4500/√36)
Lower bound :21100.39 - 1.96(750) = 19630.39
Upper bound : 21100.39+1.96(750) = 22570.39
(19630.39 , 22570.39)
Is the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a right triangle?
Is the triangle a right triangle?
Ο Νο
Yes
Answer:
We have, from distance formula.
AB² = (5-0)² + (2-6)² = 5² + 4² = 25 + 16 = 41
BC² = (0+5)² + (6+7)² = 5² + 13² = 25 + 169 =194
AC² = (5+5)² + (2+7)² = 10² + 9² = 100+81 = 181
Here, BC² ≠ AB² + AC².
So, the triangle is not a right triangle
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
No, the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a not right triangle
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Triangle:
Vertices = A(5, 2), B(0, 6), and C(-5, -7)
The distance between the vertices A and B.
The distance between the vertices B and C.
The distance between the vertices A and C.
The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}[/tex]
Now,
The distance between the vertices A and B.
= [tex]\sqrt{(0 - 5)^2+(6 - 2)^2}[/tex]
= √(25 + 16)
= √(41
The distance between the vertices B and C.
= [tex]\sqrt{(-5 - 0)^2+(-7 - 6)^2}[/tex]
= √(25 + 169)
= √194
The distance between the vertices A and C.
= [tex]\sqrt{(-5 - 5)^2+(-7 - 2)^2}[/tex]
= √(25 + 81)
= √106
Applying the Pythagorean theorem.
We do not get any possible ways to prove the theorem.
194 = 41 + 106
194 ≠ 147
Thus,
No, the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a not right triangle
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
5x -3x + 19 = 2x - 10
Answer: x = 7.25
Explanation:
Estimate the solution to the system of equations.
y=4x-2 & y=x+3
9514 1404 393
Answer:
(x y) = (1 2/3, 4 2/3)
Step-by-step explanation:
We're not sure the basis you're intended to use for estimating. Perhaps you're given a graph, or are intended to draw a graph. The attachment from a graphing calculator is able to tell us what the point of intersection is.
(x, y) = (1 2/3, 4 2/3)
__
The only "estimate" we need to make is that 0.667 ≈ 2/3.
For Oscar's birthday, his grandparents gave him a 100 dollar gift card to a local movie theater. The theater charges 12 dollars for each movie write an explicit and recursive rule for the sequence
Answer:
Move 100 to the left of a
100 a
List of all of the solutions
ax100=100a
12= 100a
0.62 devided by 3 please
Answer:
0.206 and then it repeats 6 over and over again
Step-by-step explanation:
hope it helped :)
Answer:
hey there!Step-by-step explanation:
the answer is:
0.20666666666
hope it helped and have a nice day!Is 0.03<0.1 correct?
Answer:
yes
Step-by-step explanation:
This is correct because 0.1 or 0.10 is greater than 0.03
. A cell phone company has three different production sites. Five percent of the cars from Site 1, 7% from Site 2, and 9% from Site 3 have been recalled due to unexpected shutdown issue. Suppose that 60% of the phones are produced at Site 1, 30% at Site 2, and 10% at Site 3. If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3 (write it up to second decimal place)
Answer:
0.15 = 15% probability that it came from Site 3
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: Being recalled
Event B: Recalled from site 3.
Probability of being recalled:
5% of 60%(from site 1)
7% of 30%(from site 2)
9% of 10%(from site 3).
So
[tex]P(A) = 0.05*0.6 + 0.07*0.3 + 0.09*0.1 = 0.06[/tex]
Probability of being recalled, being from site 3.
9% of 10%.
[tex]P(A \cap B) = 0.09*0.1 = 0.009[/tex]
If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.06} = 0.15[/tex]
0.15 = 15% probability that it came from Site 3
A telephone pole breaks and falls as shown. To the nearest foot, what is the value of x, if the original height of the pole is 15 ft?
A. 10 ft
B. 9 ft
C. 7 ft
D. 5 ft
{Please help ASAP!!}
Answer:
8.66 feet or 5sqrt(3) feet
Step-by-step explanation:
If the original length of the pole was 15ft and the unbroken section is 5ft, then the broken part (diagonal) has a length of 15-5 = 10ft
Using the Pythagorean Theorem, we can calculate the length of x:
a^2+b^2=c^2
5^2+b^2=10^2
25+b^2=100
b^2=75
b=sqrt(75)
b=5sqrt(3)
b=8.66
So the value of x is 8.66ft or 5sqrt(3)ft
Add:
[tex](9x + 7) + (x + 3)[/tex]
[tex]\pink{\mathbb{\underline{QUESTION}}}[/tex]
[tex]{\bf{(9x + 7) + (x + 3)}}[/tex]
[tex]\pink{\mathbb{\underline{SOLUTION}}}[/tex]
[tex]{\bf{(9x + 7) + (x + 3)}}[/tex]
[tex]{\bf{\implies9x + 7 + x + 3}}[/tex]
[tex]{\bf{\implies9x + x + 7 + 3}}[/tex]
[tex]{\bf{\implies10x + 10}[/tex]
Hence, 10x + 10 is answer.
Hey I need help I know how to do it i just put it on here so ppl can get points
Answer:
Step-by-step explanation:
Why?....
Answer:
:)
Step-by-step explanation:
A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The study was performed at the end of the school year and asked each if they had used steroids at any point in the last school year. Of the upperclassmen, 25 claimed to have used steroids in the last school year, and of the underclassmen, 19 claimed to have used steroids. Run a 95% confidence interval to test for a significant difference in the proportions of students who used steroids.
Answer:
[tex]-0.048<P_1-P_2<0.036[/tex]
Do not reject [tex]H_0:P_1-P_2=0[/tex]
Step-by-step explanation:
From the question we are told that
Sample size [tex]n_1=350[/tex]
Sample size [tex]n_2=250[/tex]
Sample proportion 1 [tex]\hat P= \frac{25}{350} =>0.07[/tex]
Sample proportion 2 [tex]\hat P= \frac{19}{250} =>0.076[/tex]
95% confidence interval
Generally for 95% confidence level
Level of significance
[tex]\alpha = 1-0.95=>0.05[/tex]
[tex]\alpha /2=\frac{0.05}{2} =>0.025[/tex]
Therefore
[tex]Z_a_/_2=1.96[/tex]
Generally the equation for confidence interval between [tex]P_1 - P_2[/tex] is mathematically given as
[tex](\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2} }[/tex]
[tex](0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250} }[/tex]
[tex](0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4 }[/tex]
[tex](-0.006)\pm 0.042[/tex]
[tex](-0.006)- 0.042=>-0.048[/tex]
[tex](-0.006)+ 0.042=>0.036[/tex]
Therefore
Confidence interval is
[tex]-0.048<P_1-P_2<0.036[/tex]
Conclusion
Given the confidence interval has zero
Therefore do not reject [tex]H_0:P_1-P_2=0[/tex]
9 + 8 + 9 - 102 + 200 =
Answer:
124
Step-by-step explanation:
9 + 8 + 9 - 102 + 200 =
9 + 8 = 17
17 + 9 = 26
26 - 102 = -76
-76 + 200 = 124
Marko's heart beats 72 times per minute during normal activity. It beats 65 times
per minute during sleep, and 118 times per minute when Marko is exercising.
During a 24-hour period, Marko slept from 10:00 p.m. until 5:00 a.m. and then
exercised from 5:30 a.m. to 7:30 a.m. For the remaining time he had normal
activity. During that 24-hour period, how many times did Marko's heart beat?
(times)
Answer:
105,660 times
Step-by-step explanation:
7 times 65=445 times 60=26 700
2 times 118=236 times60=14 160
15 times 72=1080 times 60=64 800
26700 plus 14 160 plus 64 800=105,660
brainliest please
Answer:
105,540 beats
Step-by-step explanation:
10:00-5:00 is 7 hours long so
60(minutes)×7=420 minutes
since his heart beats 65 times/min.
420×65=27,300 beats
5:30-7:30 is 2 hours long so
60(minutes)×2=120 minutes
120×118=14,160 beats
7 hours+2 hours=9 hours
24-9=15 hours
60×15=900 minutes
900×72 beats=64,800 beats
Add all heart beats together
27,300+14,160+64,080=105,540
Can you mark me Brainliest? Please, I need to level up.
If 10 is multiplied by a number, x and the result is added to 5, this statement may be written in algebra as: A. 15 B. 5+10x. C. 20 D. 15x
Answer:
the answer is A. 15 :))) hope i helped!!
Answer:
D 15x
Step-by-step explanation:
because you add 10+5 which is 15 and it still needs to be multiplied by x so the result is 15x and what ever x is is what it would be multiplied by
24.5 x 24.5 x 3.14
plssss answer this with explanation!!!
100% will mark as brainlist!!!!!
Answer:
1884.785
Step-by-step explanation:
24.5 × 24.5=600.25
600.25 × 3.14=1884.785
Answer:
1884,785
Step-by-step explanation:
[tex]24.5 \times 24.5 \times 3.14 \\ 24.5 \times 24.5 = 600.25 \\ 600.25 \times 3.14[/tex]
[tex] = 1884.785[/tex]
If 2pounds of fruit cost $6 how much pounds of grapes will cost if for $1
What is the measure of arc Q R?
26°
52°
104°
128°
Answer:
128
Step-by-step explanation:
i just took the test
Answer: D) 128
Step-by-step explanation:
Find the area of the Composite Shape:
Please Help!
Answer:
151.27 cm^2
Step-by-step explanation:
We can tell that the radius of the semicircle is 5 cm. This is because the diameter is 10 cm (16 cm - 6 cm).
Area of Circle:
A(c) = π[tex]r^{2}[/tex]/2 = π(5 cm)^2/2 = 25π cm^2/2 = 78.54 cm^2/2 = 39.27 cm^2
Area of Rectangle:
A(r) = 16 cm * 7 cm = 112 cm^2
A = A(c) + A(r) = 39.27 cm^2 + 112 cm^2 = 151.27 cm^2
0.002 inches
0.202 inches
0.022 inches
0.02 inches
Which of the following shows these amounts in order from LEAST to GREATEST?
Answer:
0.0202
0.022
0.02
0.002
Step-by-step explanation: I am 5 million iq brainlist pls
A square sign has a height and width of 2 1/2 feet. Will the area of the sign be greater or less that 2 1/2 square
Answer:
Greater
Step-by-step explanation:
Area of the square sign = L²
L is the side length of the square
Given
L = 2 1/2 feet
Area of the sign = 2 1/2 * 2 1/2
Area of the sign = 5/2 * 5/2
Area of the sign = 25/4
Area of the sign = 8 1/4 square feet
This shows that the area of the sign will be greater than 2 1/2 square feet
