Answer:
B) 17 cm
Step-by-step explanation:
Given that:
length of first side = 8 cm
length of the second side = 15 cm
The hypotenuse of the given triangle can be determined by applying the Pythagoras theorem.
[tex]/hyp/^{2}[/tex] = [tex]/adj 1/^{2}[/tex] + [tex]/adj 2/^{2}[/tex]
= [tex]15^{2}[/tex] = [tex]8^{2}[/tex]
= 225 + 64
[tex]/hyp/^{2}[/tex] = 289
hyp = [tex]\sqrt{289}[/tex]
= 17
The hypotenuse of the triangle is 17 cm.
I’ll make brainly if the answer is right
Use the figure to answer the question. 8 8 What is the area of the shaded region of the circle in terms of a? Enter the answer in the box. The area of the shaded region is f units squared.
Answer:
48pi
Step-by-step explanation:
pi x 8² - pi x 4²
64pi - 16pi
48pi
(Worth 10 points)
Please actually answer this question
Answer:
i belive the correct awnser is A
Step-by-step explanation:
9514 1404 393
Answer:
A figure 1
Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx + b . . . . . . where m is the slope and b is the y-intercept
The slope and y-intercept in your equation are both 2. That means the graph crosses the y-axis at y=2 (above the x-axis), and has a positive slope (goes up to the right.
The two top graphs, figures 1 and 2, show lines with positive slope. Only figure 1 shows a graph with positive slope and a positive y-intercept.
Which choice represents the fraction below as a single exponential
expression?
73
79
Answer:
C.
Step-by-step explanation:
use the division rule of exponents. 7 is your base and exponents is going to be 3 - 9 which is -6
Is the equation a linear function?
y = -x + 3 +
3. Which of the following is the solution for
the inequality below?
-3x+2<8
A x>-3
C x < -2
B x>-2
DX<-3
4. Your best friend's birthday is tomorrow, and you would like to give her an ice cream cone
balloon. The spherical shaped ice cream on top of the cone has a radius of 6 inches. The cone
itself has a diameter of 12 inches and height of 24 inches. How many cubic inches of helium are
nded to fill the entire ice cream cone balloon? Use 3.14 for it.
Answer:
1808.64 IN^3
Step-by-step explanation:
Helium needed = volume of spherical shaped ice cream + volume of cone
Volume of a sphere = 4/3 x pi x r^3
4/3 x 3.14 x 6^3 = 904.32 ft^3
Volume of a cone 1/3 x (nr^2h)
n = 22/7
r = radius = 12/2 = 6
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
h = height
1/3 x 3.14 x 6^2 x 24 = 904.32
helium needed = 2 x 904.32 = 1808.64 in^3
I need help pls! optional to give an explanation to help me understand :)
Answer:
(-4, 2)
Step-by-step explanation:
this is a simultaneous equation;
solving by substitution method, we have;
since y= ¼x + 3 and the same y= 2x + 10
therefore we combine both equations;
¼x + 3= 2x+10
3-10=2x-¼x
to clear out fraction, multiply throughout by 4
-28= 8x-x
-28= 7x
x= -28/7
x= -4
since x is -4, therefore All we have to do is to substitute x into y, doing this, we have;
y=2x+10
y= 2(-4) + 10
y= -8 + 10
y= 2
therefore y= 2 and x= -4
so the values are (-4, 2)
if you still don't understand, check your NGM SS2 textbook or make a comment and I will explain better
Aaron's bedroom is in the shape of a rectangular prism. The bedroom measures 10 feet by 14 feet by 8 feet. How many cubic feet of space does the room contain?
The formula for the area of a rectangular room is width x length, as shown in the figure below: This is the equation used in our square footage calculator as well.
pls pls pls 4/1 68 The angle that is an alternate exterior angle with angle 2 is angle [?] 57 3/2 A. 3 B. 4 C. 5 D. 6
Answer:
B. 4
Step-by-step explanation:
∠4 is an alternate exterior angle with ∠2 because both angles are on the exterior of the lines, and lie on opposite ends on the transversal.
The angle that is an alternate exterior angle with angle 2 is angle 4.
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
The figure is shown in figure.
Now,
Since, ∠4 is an alternate exterior angle with ∠2 because both angles are on the exterior of the lines, and lie on opposite ends on the transversal.
Hence, ∠4 is an alternate exterior angle with angle 2.
Thus, The angle that is an alternate exterior angle with angle 2 is angle 4.
Learn more about the parallel lines visit:
https://brainly.com/question/26961508
#SPJ2
What is the volume of this shape in terms of π (PI)?
Answer:
Step-by-step explanation:
1/3 bh=96 pi/3=32 pi
Answer:
[tex]\displaystyle V = 32\pi \ in^3[/tex]
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
r = 4 in
h = 6 in
Step 2: Find Volume
Substitute in variables [Volume of a Cone Formula]: [tex]\displaystyle V = \frac{1}{3} \pi (4 \ in)^2(6 \ in)[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{1}{3} \pi (16 \ in^2)(6 \ in)[/tex]Multiply: [tex]\displaystyle V = \frac{1}{3} \pi (96 \ in^3)[/tex]Multiply: [tex]\displaystyle V = 32\pi \ in^3[/tex]20. Martin sells used cars.
He earns $12.50 per hour, plus 3% commission on
any cars he sells.
On Monday, he worked 6.5 hours and sold a car for
$9,000.
How much money did Martin earn on Monday?
A. $351.25 B. $282.50 C. $243.75
Answer:
The short answer is that most car salespeople don't earn a whole hell of a lot of money. Dealership salespeople average about 10 car sales per month, and earn an average of about $40k per year. If you do the math, that's about $330 per car.
Step-by-step explanation:
Answer:
You should prob add then multiply
Step-by-step explanation:
i'm sorry if you don't understand !BRB when i get the answer(Let's hope i don't forget.
Solve for x. Round to the nearest tenth. *
9.8
5.3
61.2
8.6
Answer:
9.85
that is 9.8
Step-by-step explanation:
16sin38=x
x= 9.85
20. What is the solution to the equation By -2(y + 1)-3(y-2) + 6?
A) -10
B) 6
C)-2
D) 2
whats 6 divided by 10?
Answer:
1 r 4
Step-by-step explanation:
0 1
6 1 0
− 0
1 0
− 6
4
Grandma is trying out a new recipe for raisin bread. Each batch of bread dough makes three loaves, and each loaf contains 15 slices of bread. If she puts 100 raisins into a batch of dough, what is the probability that a randomly chosen slice of bread contains no raisins
Answer:
0.108
Step-by-step explanation:
Using the poisson probability process :
Where :
P(x =x) = (e^-λ * λ^x) ÷ x!
Given that :
Each batch of bread = 3 loaves
Each loaf = 15 slices
Total slice per batch = 15 * 3 = 45 slices
Number of raising added = 100
Average number of raisin per slice, λ = 100/45 = 20/9
Hence,
Probability that a randomly chosen slice has no raising :
P(x = 0) = (e^-λ * λ^x) ÷ x!
P(x = 0) = (e^-(100/45) * (100/45)^0) ÷ 0!
P(x = 0) = (0.1083680 * 1) / 1
P(x = 0) = 0.108
A journal article reports that a sample of size was used as a basis for calculating a CI for the true average natural frequency (Hz) of delaminated beams of a certain type. The resulting interval was . You decide that a confidence level of is more appropriate than the level used. What are the limits of the interval
Answer:
The limit of the (228.533, 234.735)
Step-by-step explanation:
The values are missing in the given question. Therefore, in order to attempt this question, we will make assumptions.
So, let's assume that:
sample size of the journal article that was reported = 5
which is applied for determining a 95% CI
Also, assuming that the resulting interval = (229.764, 233.504)
However, if we are to use a 99% CI which we deemed to be more appropriate;
Then, our objective is to find the limits of this particular interval in question.
To do that:
We need to first find the sample mean at 95% CI by using the formula:
[tex]\Big ( \bar {x} - t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}} \Big) = (229.764,233.504)[/tex]
Since; df = n - 1
df = 5 - 1
df = 4
Then;
[tex]\Big ( \bar {x} - t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}} \Big) = (233.504+229.764)[/tex]
[tex]2 \bar {x} = (463.268)[/tex]
[tex]\bar {x} =\dfrac{463.268}{2 }[/tex]
[tex]\bar {x} =231.634[/tex]
Sample mean = 231.634
Using the same formula to determine the standard deviation, we have:
[tex]\Big ( \bar {x} - t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}} \Big) = (229.764,233.504)[/tex]
[tex]\Big ( \bar {x} - t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}} \Big) = (233.504-229.764)[/tex]
[tex]\Big ( (\bar x + t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}} )- (\bar {x} - t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}}) \Big) = (233.504-229.764)[/tex]
[tex]\Big ( (\bar x + t_{0.05/2, 4} \ \dfrac{s}{\sqrt{4}}} )- (\bar {x} - t_{0.05/2, 4} \ \dfrac{s}{\sqrt{5}}}) \Big) = (233.504-229.764)[/tex]
At t = 0.025 and df = 4; = 2.776
[tex]2\times 2.776 \dfrac{s}{\sqrt{5}}= 3.74[/tex]
[tex]5.552 \dfrac{s}{\sqrt{5}}= 3.74[/tex]
[tex]\dfrac{s}{\sqrt{5}}= \dfrac{ 3.74}{5.552}[/tex]
[tex]\dfrac{s}{\sqrt{5}}= 0.6736[/tex]
[tex]s = 0.6736 \times \sqrt{5}[/tex]
s = 1.5063
The 99% CI is:
[tex]\implies \Big(\bar x \pm t_{\alpha/2,4} \dfrac{s}{\sqrt{n}} \Big)[/tex]
At t =0.005 and df =4; = 4.604
[tex]\implies \Big(231.634 \pm 4.604 \dfrac{1.5063}{\sqrt{5}} \Big)[/tex]
[tex]\implies \Big(231.634 \pm 4.604 (0.67364) \Big)[/tex]
[tex]\implies \Big(231.634 \pm 3.1014 \Big)[/tex]
[tex]\implies \Big((231.634 - 3.1014), (231.634 + 3.1014) \Big)[/tex]
[tex]\implies \Big( 228.533, 234.735 \Big)[/tex]
A fence is 8.5 feet tall. How many inches tall is it?
Answer:
The answer is 102, good luck<3
Please help with algebra 2 I took a pic , I have 6 questions n need proof of work
from a random sample of 24 months from january 2006 through december 2016, the mean of number of tornadoes per month in the united states was about 100. assume the population standard deviation is 114
can someone please answer this asap
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
give me a complete and managed answer.
Answer:
Solution given:
The given equation of a line is
ax²+2hxy+by²=0
Let y=mx be any one line of
ax²+2hxy+by²=0
Let the perpendicular line of
y=mx is
x+my=0
According to the question the line x+my=0 is one line of Ax²+2Hxy +By²=0
Substituting value of y
Ax²+2Hx [tex] \frac{ - x}{m} [/tex]+[tex]B \frac{x²}{m²} [/tex]=0
Ax²-[tex] \frac{ 2H}{m}x² [/tex]+[tex]B \frac{x²}{m²} [/tex]=0
Taking LCM
we get
Ax²m²-2mHx²+Bx²=0
x²[Am²-2Hm+B]=0..............[1]
Again.
ax²+2hx(mx)+B(mx)²=0
ax²+2hmx²+Bm²x²=0
x²[a+2hm+Bm²]=0
bm²+2hn+a=0.....................[2]
Taking coefficient of equation 1 &2.
equation 1. b 2h a b 2h
equation 2.A. -2h B A -2H
Doing criss cross multiplication
ignore first coefficient and repeat first and second
again
lines are perpendicular so
[tex] \frac{m²}{2hB} [/tex]=[tex] \frac{m}{aA-bB} [/tex]=[tex]\frac{1}{-2Hb-2hA} [/tex]
Taking 1st & 2nd ratio,we get,
m=[tex] \frac{2hB+2Ha}{aA-bB} [/tex]....[*]
Taking 3rd & 2nd ratio,we get,
m=[tex] \frac{aA-bB}{-2Hb-2hA} [/tex] ....[#]
Again
Equating equation * &# we get;
[tex] \frac{2hB+2Ha}{aA-bB} [/tex]=[tex] \frac{aA-bB}{-2Hb-2hA} [/tex]
(aA-bB)²=-4(hB+Ha)(Hb+HA)
(aA-bB)²+4(hB+Ha)(Hb+HA)=0 is a required condition.
How many triangles can the polygon below be divided into? A polygon with 10 sides. 6 7 8 9
Answer:
240
I think I'm not sure but try
Answer:
C. 8
Step-by-step explanation:
Just took the test (edge)
Good luck soldiers
At the movies: A movie theater is considering a showing of The Princess Bride for a 80's thowback night. In order to ensure the success of the evening, they've asked a random sample of 53 patrons whether they would come to the showing or not. Of the 53 patrons, 18 said that they would come to see the film. Construct a 95% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing.
Answer:
The 95% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing is (0.2121, 0.4671).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 53 patrons, 18 said that they would come to see the film.
This means that [tex]n = 53, \pi = \frac{18}{53} = 0.3396[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3396 - 1.96\sqrt{\frac{0.3396*0.6604}{53}} = 0.2121[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3396 + 1.96\sqrt{\frac{0.3396*0.6604}{53}} = 0.4671[/tex]
The 95% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing is (0.2121, 0.4671).
The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management must decide how many employees to schedule to start work on each shift. The objective is to minimize the total number of employees required while the constraints stipulate how many employees are required at each time of day. The variables X1 - X4 represent the number of employees starting work on each shift (shift 1 through shift 4).
MIN X1 + X2 + X3 + X4
s.t. X1 + X4 ≥ 12 ........(on duty during shift 1)
X1 + X2 ≥ 15 ........(on duty during shift 2)
X2 + X3 ≥ 16 ........(on duty during shift 3)
X3 + X4 ≥ 14 ........(on duty during shift 4)
X1, X2, X3, and X4 ≥ 0
Given the optimal solution: X1* = 13, X2* = 2, X3* = 14, X4* = 0, how many workers would be assigned to shift 2?
a. 13
b. 12
c. 14
d. 15
e. 2
Answer:
d. 15
Step-by-step explanation:
Putting the values in the shift 2 function
X1 + X2 ≥ 15
where x1= 13, and x2=2
13+12≥ 15
15≥ 15
At least 15 workers must be assigned to the shift 2.
The LP model questions require that the constraints are satisfied.
The constraint for the shift 2 is that the number of workers must be equal or greater than 15
This can be solved using other constraint functions e.g
Putting X4= 0 in
X1 + X4 ≥ 12
gives
X1 ≥ 12
Now Putting the value X1 ≥ 12 in shift 2 constraint
X1 + X2 ≥ 15
12+ 2≥ 15
14 ≥ 15
this does not satisfy the condition so this is wrong.
Now from
X2 + X3 ≥ 16
Putting X3= 14
X2 + 14 ≥ 16
gives
X2 ≥ 2
Putting these in the shift 2
X1 + X2 ≥ 15
13+2 ≥ 15
15 ≥ 15
Which gives the same result as above.
What property is (4 + b) + 8= 4 + (b + 8)
Answer:
Associative Property
Step-by-step explanation:
Associative Property= Uses parethesis and it doesnt matter the order you put it in it. You are going to get the same answer.
Please answer the question question correctly with factual information for brainliest.
Answer:
A
Step-by-step explanation:
find value of x
3x (x+28)
Answer:
The value of x is 14.
Step-by-step explanation:
3x° = (x + 28)° [ vertically opposite angles
are equal]
3x = x + 28°
3x - x = 28°
2x = 28°
x = 28°/2
x = 14°
Jane has:$2
Her ice cream
costs:
What will her
change be?
$1.30
Answer:
70 cents
Step-by-step explanation:
What is the reciprocal of 4 5/7
Answer:
7/33
Step-by-step explanation:
First, change the mixed numeral into a fraction.
4 5/7 = 4/1 + 5/7 = 28/7 + 5/7 = 33/7
To fiond the reciprocal, just fklip the fraction.
The reciprocal of 33/7 is 7/33.
Answer: 7/33