Answer:
Yes
Step-by-step explanation:
For a triangle to be rights angled.
It should follow Pythagoras theorem.
Pythagoras theorem states that if sides containing right angle is a and b
then is given by
hypotenuse = [tex]\sqrt{a^2+b^2}[/tex]
As hypotenuse is always the greatest side
Out of the given sides 144m,165m,219m
219 can only be hypotenuse
Thus side containing right angle will be 144m and 165m .
Lets plug these value in formula of Pythagoras theorem
[tex]hypotenuse = \sqrt{144^2 + 165^2} \\hypotenuse = \sqrt{20,736 + 27,225} \\hypotenuse = \sqrt{47961} \\hypotenuse = 219\\[/tex]
As we can see that hypotenuse calculated by us is same as given in problem.
Thus the given triangle is right angled.
Here is a garden and a pond.
The garden and the pond are rectangular..
14 m
garden
9 m
pond
2.4 m
3.8 m
v
grass
Kayla is covering the garden with seed.
She will not put any grass seed in the pond.
One box off grass seed covers 15m of the garden.
Work out the mumber of boxes off grass seed Kaydla meeds to cover the garden.
Answer:
Kayla needs 8 boxes of grass seed to cover the whole garden without including the pond.Step-by-step explanation:
You can observe a representation of this problem in the image attached.
Notice that the grass seed is gonna be put only in the green zone, out of the pond. So, we need to find each area and subtract them.
[tex]A_{garden}= 14 \times 9 =126 \ m^{2} \\A_{pond}=2.4 \times 3.8 = 9.12 \ m^{2}[/tex]
The difference is
[tex]A_{seed}=126 - 9.12 = 116.88 \ m^{2}[/tex]
Now, according to the problem, one box of grass seed covers 15 meters of the garden, let's divide this number with the seed area.
[tex]n=\frac{116.88}{15} \approx 7.792[/tex]
Therefore, Kayla needs 8 boxes of grass seed to cover the whole garden without including the pond.
surface area of a cylinder 1m radius and 5m side
Answer:
37.7 m
Step-by-step explanation:
Use this formula:
A=2πrh+2π[tex]r^{2}[/tex]
Answer: A=12pi
Step-by-step explanation:
A= 2*pi*R*H + 2*pi*R^2
A=2*pi*1*5 + 2*pi*1^2
A=10pi + 2pi
A=12pi
6th grade math :D....
Answer:
Step-by-step explanation:
I chose the first one. To compare the two products and find the better buy, let's find the cost of 1 ounce of cereal in each box. The unit rate for the left box will be $2.15 / 14 = $0.15 per ounce. The unit rate for the right box will be $3.40 / 20 = $0.17 per ounce. Because 0.15 < 0.17, the box on the left is the better buy. Hope this helps!
Answer:
2.15/14=0.153
3.4/20=0.17
Option A. is better because the price is smaller
4.50/3=1.5
5.96/4=1.49
option b is better
2.41/4=0.6025
1.8/2=0.9
option b is better
Step-by-step explanation:
Craig Milton needs to order for his company int the catalog a 20% traidor discount is offered for a price of $481.60 what is the net price
Answer:
Net price = $385.28
Step-by-step explanation:
Trade Discount - It is the discount given by buyer to seller, as a reduction in list price, when huge (bulk) orders transactions are made.
List price = 481.60
Trade Discount = 20%
So, Trade Discount = 20 / 100 (481.60) = 96.32
Net price = List price - Trade Discount = 481.60 - 96.32 = 385.28
What is 2+2=
Double tap to add text
Answer:
2+2= 4
Step-by-step explanation:
1+1+1+1= 4
Predict what will happen to the coordinates of a point (x, y) as the point reflects across a line to produce point (x', y'). Choose the x-axis, y-axis, y = x and y = -x for the lines of reflection. Express your answers in terms of x and y. (Be sure to watch your signs
Answer:
Check the table.
Step-by-step explanation:
For edmentum.
analyze the diagram below and complete instructions that follow find the value of x in the value of y
Answer:
The values are [tex]x=2\sqrt{2}[/tex] and [tex]y=2\sqrt{6}[/tex].
Step-by-step explanation:
A right triangle is a type of triangle that has one angle that measures 90°.
In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse.
[tex]\sin(\theta)=\frac{opposite \:site}{hypotenuse}[/tex]
To find the value of x we use the above definition. From the diagram we can see that the angle is 30º and the hypotenuse is [tex]4\sqrt{2}[/tex]. Therefore,
[tex]\sin(30)=\frac{x}{4\sqrt{2} }\\\\\frac{x}{4\sqrt{2}}=\sin \left(30^{\circ \:}\right)\\\\\frac{8x}{4\sqrt{2}}=8\sin \left(30^{\circ \:}\right)\\\\\sqrt{2}x=4\\\\\frac{\sqrt{2}x}{\sqrt{2}}=\frac{4}{\sqrt{2}}\\\\x=2\sqrt{2}[/tex]
To find the value of y we use the above definition. From the diagram we can see that the angle is 60º and the hypotenuse is [tex]4\sqrt{2}[/tex]. Therefore,
[tex]\sin(60)=\frac{y}{4\sqrt{2} }\\\\\frac{y}{4\sqrt{2}}=\sin \left(60^{\circ \:}\right)\\\\\frac{8y}{4\sqrt{2}}=8\sin \left(60^{\circ \:}\right)\\\\\sqrt{2}y=4\sqrt{3}\\\\\frac{\sqrt{2}y}{\sqrt{2}}=\frac{4\sqrt{3}}{\sqrt{2}}\\\\y=2\sqrt{6}[/tex]
Answer:
C.
Step-by-step explanation:
trust me its correct on EDGE2021
With individual lines at the checkouts, a store manager finds that the standard deviation for the waiting times on Monday mornings is 5.7 minutes. After switching to a single waiting line, he finds that for a random sample of A customers, the waiting times have a standard deviation of B minutes.
a) Use a 0.025 significance level to test the claim that with a single line, waiting times vary less than with individual lines.
Answer:
Step-by-step explanation:
Complete Question
With individual lines at the checkouts, a store manager finds that the standard deviation for the waiting times on Monday mornings is 5.7 minutes. After switching to a single waiting line, he finds that for a random sample of A customers, the waiting times have a standard deviation of B minutes.
a) Use a 0.025 significance level to test the claim that with a single line, waiting times vary less than with individual lines.
If we let italic sigma be the population standard deviation of waiting times for a single line, what are the hypotheses for this test?
Use the traditional method to test the claim. Assume the population of waiting times is normally distributed.
Calculate the test statistic for this test, italic chi to the power of 2 . Round your answer to three digits to the right of the decimal point.
What is the critical value for this left-tailed test? Round your answer to three digits to the right of the decimal point.
Based on the critical value and test statistic, should the null hypothesis be rejected?
Since the claim is the alternative hypothesis, what final conclusion can you draw from this test?
1) Null and Alternative hypothesis
Null hypothesis: H₀ = 5.7
and Alternative hypothesis: H₁ < 5.7
2) Test Statistic
[tex]x^2=\frac{(n-1)s^2}{\sigma^2}[/tex]
where s is the standard deviation = 4.9
n sample size = 29
[tex]=\frac{28 \times 4.9^2}{5.7^2} \\\\=20.692[/tex]
complete solution is detailed in the image
Brian takes out a $1,600 discounted loan calculated using a simple interest rate of 12% for a period of 15 months. How much money does Brian receive from the bank when the loan is drawn down? Give your answer in dollars to the nearest dollar.
Answer:1360
Step-by-step explanation:
a delivry truck is transporiting boxes of two sizes large and small the combined weight of a large box and a small box is 65 pounds the truck transporting 55 large boxes and 65 small boxes if the truck is carrying a totall of 3774 pounds of boxes how much does each type of box way
Answer: S = 20 lbs L = 45 lbs. Both answer have been rounded from below
Step-by-step explanation:
L+S = 65 lbs
55L + 65S = 3774 lbs
55L+55S = (65)(55) = 3,575 lbs
10S = 199 lbs
S = 19.99 (round to 20)
L + S = 65
L + 19.99 = 65
L = 45.01 (round to 45)
The radius of a soccer ball is 4 inches. Approximately what volume of air can it hold? Use 3.14 for Pi. Round to the nearest tenth of a cubic inch.
Recall the formula V = four-thirds pi r cubed
Answer:
The volume of air that can be hold is 267.9 inches³.
Step-by-step explanation:
Given that the volume of sphere formula is V = 4/3×π×r³ where r represents radius of sphere. Then substitute the values :
[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]
Let π = 3.14,
Let r = 4,
[tex]v = \frac{4}{3} \times 3.14 \times {4}^{3} [/tex]
[tex]v = \frac{4}{3} \times 200.96[/tex]
[tex]v = 267.9 \: {inches}^{3} (near.tenth)[/tex]
The soccer can hold air up to the volume of 267.9 cubic inches.
What is volume?
The measure of the capacity that an object holds is called volume.
Formula for the volume of sphere[tex]v = \frac{4}{3} \pi r^{3}[/tex]
Where, v is the volume of sphere
r is the radius of sphere
π = 3.14
According to the given question
The radius of soccer is 4 inches.
Therefore,
The volume of the soccer = [tex]\frac{4}{3}\pi (4)^{3}[/tex] (shape of soccer is spherical)
Volume of soccer = [tex]\frac{4}{3} (3.14)(64)[/tex] [tex]= 267.946 cubic inches[/tex]
Hence, the soccer can hold air up to the volume of 267.9 cubic inches.
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PLEASE HELP
PLEASE HELP
Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams.
Sara:
Approximate how many times greater Saturn's mass is than Mercury's.
A: 2,000,000
B: 200,000
C: 20,000
D: 2,000
Answer:
D About 2000 times
Step-by-step explanation:
About 2000 times
Saturn = 5.683 × 10^32
Mercury = 3.302 × 10^29
Unit of measurement is irrelevant in ratios.
What is the radius and diameter of the following circle?
24 cm
Answer:
Radius: 12
Diameter: 24
Step-by-step explanation:
Diameter is the width of the circle across while radius is the length from the centre of the circle outward.
Factor COMPLETELY the expression 2x^3 - 250
Answer:
2 (x - 5) (x^2 + 5 x + 25)
Step-by-step explanation:
Factor the following:
2 x^3 - 250
Factor 2 out of 2 x^3 - 250:
2 (x^3 - 125)
x^3 - 125 = x^3 - 5^3:
2 (x^3 - 5^3)
Factor the difference of two cubes. x^3 - 5^3 = (x - 5) (x^2 + x 5 + 5^2):
2 (x - 5) (x^2 + 5 x + 5^2)
5^2 = 25:
Answer: 2 (x - 5) (x^2 + 5 x + 25)
A recently published article included data from a survey of 2186 hiring managers and human resource professionals. The article noted that many employers are using social networks to screen job applicants and that this practice is becoming more common. Of the 2186 people who participated in the survey, 1312 indicated that they use social networking site to research job applicants. Based on the survey data, is there convincing evidence that fewer than two-thirds of hiring managers and HR professionals use social networking sites in this way? Use a significance level of = 0.01 to make your conclusion.
Calculate the test statistic.
Answer:
Step-by-step explanation:
two-thirds = 2/3 = 0.67
We would set up the hypothesis test.
For the null hypothesis,
p = 0.67
For the alternative hypothesis,
p < 0.67
This is a left tailed test.
Considering the population proportion, probability of success, p = 0.67
q = probability of failure = 1 - p
q = 1 - 0.67 = 0.33
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 1312
n = number of samples = 2186
P = 1312/2186 = 0.6
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.6 - 0.67)/√(0.67 × 0.33)/2186 = - 6.96
From the normal distribution table, the probability value corresponding to the z score is < 0.00001
Since alpha, 0.01 > than the p value, then we would reject the null hypothesis. Therefore, at 1% significance level, there is convincing evidence that fewer than two-thirds of hiring managers and HR professionals use social networking sites in this way.
Tess rolls 2 fair dice. What is the probability of obtaining two 4's?
Probability of getting two 4's is 1/36
What is required probability ?
Tess rolls 2 fair dice.
The possibilities of first die are 1, 2, 3, 4, 5 or 6.
Also the possibilities of second die are 1, 2, 3, 4, 5 or 6.
So, the number of possibilities is 36, when tess rolls 2 dice together.
Here, possibility of getting two 4's is 1 out of 36
∴ The probability of getting two 4's = 1/36
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2. Evaluate the logarithm. (
log,1024
Answer:
exact form: log(1024)
decimal form : 3.01029995
Step-by-step explanation:
Sort each characteristic into the category where it fits best.
will require maintenance costs
will not allow me to build equity
will cost less up front
will have fairly constant payments
will allow me to build equity
will result in increasing payments
Answer: Buying: fairly constant payment, will build equity, require maintenance cost.
Renting: not build equit, cost less, increasing payments
Step-by-step explanation:
The categories in which these buying and renting characteristics belong are:
Buying:
Will require maintenance costs.Will have fairly constant payments.Will allow me to build equity.Renting:
Will not allow me to build equity.Will cost less up front.Will result in increasing payments.What are the characteristics of buying and renting property?When you buy property, you will have to pay for maintenance because you will own the property. You will however, build equity even though you will have to make fairly constant mortgage payments.
When you rent a house, the upfront cost will be less but you won't be able to build equity and there will be increasing payments as rent increases.
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The function g(x) = x3 has the point (-3, -27) on its graph. The function g(x) is even or odd
Answer:
The function g(x) is odd.
Step-by-step explanation:
Even and odd functions:
If for every value of x, f(x) = f(-x), the function is even.
If for every value of x, f(x) = -f(x), the function is odd.
If those statements are false, the function is neither even nor odd.
In this question:
[tex]g(x) = x^{3}[/tex]
[tex]g(-x) = (-x)^{3} = -x^{3} = -g(x)[/tex]
Since g(x) = -g(-x), the function g(x) is odd.
A researcher was interested in comparing the resting heart rate of people who exercise regularly and people who do not exercise regularly. Independent simple random samples of 16 people ages who do not exercise regularly and 12 people ages two who do exercise regular were selected and the resting heart rate of each person was measured.
The summary statistics are as follows.
Do not exercise Do exercise
x_1 = 73.5 x_2 = 69.3
s_1 = 10.2 s_2 = 8.7
n_1 = 16 n_2 = 12
(a) Use a 0.025 significance level to test the claim that the mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly. Use the critical value method of hypothesis testing.
Answer:
[tex]t=\frac{(73.5-69.3)-0}{\sqrt{\frac{10.2^2}{16}+\frac{8.7^2}{12}}}}=1.173[/tex]
Using the critical value method we need to find a critical value in the t distribution who accumulates 0.025 of the area on the right and we got:
[tex] t_{cric}= 2.06[/tex]
So then since our calculated value is lower then the critical value we fail to reject the null hypothesis and we can't conclude that the true mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly.
Step-by-step explanation:
Information given
[tex]\bar X_{1}=73.5[/tex] represent the mean for sample of people who do not exercise
[tex]\bar X_{2}=69.3[/tex] represent the mean for sample of people who do exercise
[tex]s_{1}=10.2[/tex] represent the sample standard deviation for 1
[tex]s_{2}=8.7[/tex] represent the sample standard deviation for 2
[tex]n_{1}=16[/tex] sample size for the group 1
[tex]n_{2}=12[/tex] sample size for the group 2
[tex]\alpha=0.01[/tex] Significance level
t would represent the statistic
System of hypothesis
We want to verify if the mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly, the system of hypothesis would be:
Null hypothesis:[tex]\mu_{1}-\mu_{2} \leq 0[/tex]
Alternative hypothesis:[tex]\mu_{1} - \mu_{2}> 0[/tex]
The statistic for this case would be given by:
[tex]t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}[/tex] (1)
The degrees of freedom are given by:
[tex]df=n_1 +n_2 -2=16+12-2=26[/tex]
Replacing the info given we got:
[tex]t=\frac{(73.5-69.3)-0}{\sqrt{\frac{10.2^2}{16}+\frac{8.7^2}{12}}}}=1.173[/tex]
Using the critical value method we need to find a critical value in the t distribution who accumulates 0.025 of the area on the right and we got:
[tex] t_{cric}= 2.06[/tex]
So then since our calculated value is lower then the critical value we fail to reject the null hypothesis and we can't conclude that the true mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly.
Select the property that allows the statement 5 = b to be written as b = 5.
identity - addition
commutative - multiplication
symmetric
commutative - addition
distributive
associative - addition
associative - multiplication
Answer:
The answer is symmetric ; as there is no addition , subtraction , multiplication , division , but equal terms are given .
Multiply (y + 4)(y - 3)
Answer: y2 + y - 12
Step-by-step explanation:
(y + 4)(y - 3)
y2 -3y + 4y -12
y2 +y -12
What is 656 divided by 78
Answer:
8.4102
Step-by-step explanation:
656÷78=8.4102
Answer
8.41025641026
When you do long division that comes out to be your answer.
Please answer this correctly
Answer:
m=42
Step-by-step explanation:
the ratio of the shorter sides is 6/7 and the ratio of the longer sides is 36/m
so m=36*7/6=42.
3. What are the first four terms of the sequence represented by the expression n(n-1) - 4?
-2, 2, 6, 10
-3,0,3,6
-4,-2, 2, 8
-5,-4,-2,6
Answer:
-4, -2, 2, 8
Step-by-step explanation:
The first four terms will be found by evaluating the expression for values of n that are 1, 2, 3, 4. Evaluating for n=1 is sufficient to determine the correct answer choice:
n(n -1) -4
1(1 -1) -4 = -4 . . . . matches the third choice
What does it mean to solve an equation or inequality
Answer:
x is less than or equal to y. An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
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What is the y-intercept of the equation 3y + 2x =-21?
In slope-intercept form, we can classify the following values.
m = slope
b = y-intercept
Turn the equation into slope-intercept form (y = mx + b).
3y + 2x = -21
~Subtract 2x to both sides
3y + 2x - 2x = -21 - 2x
~Simplify
3y = -21 - 2x
~Divide 3 to both sides
3y/3 = -21/3 - 2/3x
~Simplify
y = -7 - 2/3x
~Put into correct order
y = -2/3x - 7
So, the y-intercept is -7
Best of Luck!
Answer: -7
Step-by-step explanation: To identify the y-intercept of the line, we would first convert the equation to slope-intercept form.
In slope-intercept form or y = mx + b form, the y
is by itself on the left side of the equation.
So our first task in this problem is to get y by itself on the left side of the equation and we do that by first subtracting 2x from both sides to get 3y = -2x - 21.
Notice that I put the x term first on the right side of the equation and then the number because in y = mx + b form, the x term comes first on the right side of the equation.
Continuing on, to get y by itself we would
divide both sides by 3 to get y = -2/3x - 7.
Now our equation is written in slope-intercept form and
we can identity that the y-intercept of this line is -7.
90-(18+-2)(3)
90-(16)(3)
Answer:
1: 42
2: 42
Step-by-step explanation:
1: Subtract and plus the first equation using a calculator
2: Now subtract and plus the second equation using a calculator
Answers:
1: 42
2: 42
Hope this helps.
Answer:
hmmmmmm
Step-by-step explanation:
42 easyyyyyyyyyyyyyyyyyyyyyy tyyyyyb y u y y y y y y
Which face has an area of 28 cm2?
Answer:
your answer is B my kind friend
Step-by-step explanation:
find the value of this expression if x=-2. x-4/x
Step-by-step explanation:
Simple.
Putting value of x
2 - 4/2
2 - 2
= 0