A triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle Thus, the triangle is not acute because 2² + 4² < 5².
What is the acute angle?An acute angle is defined as the measure of an angle that is less than 90 degrees.
The square of the hypotenuse of a right triangle with the given sides would be 2² +4² = 20.
So, that hypotenuse would be √20, about 4.47.
The long side of this triangle is longer than that, hence the angle opposite is larger than 90°. The triangle with sides 2, 4, and 5 is an obtuse triangle.
The triangle is not acute because 2² + 4² < 5²
Learn more about acute angle;
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Answer:
The answer is C I just did it
Step-by-step explanation:
a_n=
a
n
=
\,\,-5+10(n+1)
−5+10(n+1)
Answer:
that makes no sense
Step-by-step explanation:
Mary put $2225.50 into an investment at 1.2% for eight years. What will the balance be at the end of eight years? ( what is the total amount of the investment plus interest after 8 years?) round to the nearest hundreth.
interest: $_____
+$2,225.50
=$____(total)
Answer: $2400
Step-by-step explanation:
$2225.50 x 1.2% = $26.71 + $2225.50 = $2252.21 - Year 1
$2252.21 x 1.2% = $27.03 + $2252.21 = $2279.23 - Year 2
$2279.23 x 1.2% = $27.35 + $2279.23 = $2306.58 - Year 3
$2306.58 x 1.2% = $27.68 + $2334.26 = $2334.26 - Year 4
$2334.26 x 1.2% = $28.01 + $2362.27 = $2362.27 - Year 5
$2362.27 x 1.2% = $28.35 + $2362.27 = $2390.62 - Year 6
$2390.62 x 1.2% = $28.69 + $2390.62 = $2419.31 - Year 7
$2419.31 x 1.2% = $29.03 + $2419.31 = $2448.34 - Year 8
Rounded to the nearest 100th = $2400
The data set represents the length, in inches, of some crayons.
4342
3222
2434
Click above the number line to create a dot plot for the data set
Answer:The data set represents the length, in inches, of some crayons.
4342
3222
2434
Step-by-step explanation:
the radius of a circle is 10.8ft the length of a chord is 12ft what is the approximate distance of the chord from the center of the circle
Answer:
9.0 ft (nearest tenth)
Step-by-step explanation:
The chord is the base of an isosceles triangle with sides of the radius.
To calculate the approximate distance of the chord from the center of the circle, we need to find the height of this triangle.
[tex]\sf height=\sqrt{s^2-(\frac{b}{2})^2}[/tex]
(where s is the side length and b is the base length of an isosceles triangle)
Given:
s = radius = 10.8 ftb = chord = 12 ft[tex]\begin{aligned}\implies \sf height & =\sqrt{10.8^2-\left(\frac{12}{2}\right)^2}\\ & = \sqrt{116.64-36}\\ & = \sqrt{80.64}\\ & = 8.979977728...\\ & = 9.0\: \sf ft\:(nearest\:tenth) \end{aligned}[/tex]
Perpendicular=P=?
Apply Pythagorean theorem
P²=H²-B²P²=10.8²-6²P²=80.64P=8.97P≈9ftWhat is the product? startfraction 2 y over y minus 3 endfraction divided by startfraction 4 y minus 12 over 2 y 6 endfraction two-thirds ten-ninths startfraction 4 y over y minus 3 endfraction startfraction 4 y over y 3 endfraction
The product of the expression [tex]\rm \dfrac{\dfrac{2y}{y-3} }{\dfrac{4y-12}{2y+6}}\\\\\\[/tex] is [tex]\rm \dfrac{(y^2+3y)}{(y^2-6y+9)}\\[/tex].
What is the product?In mathematics, the term 'product' refers to the answer to a multiplication problem.
The product of the given expression is determined in the following steps given below.
[tex]\rm =\dfrac{\dfrac{2y}{y-3} }{\dfrac{4y-12}{2y+6}}\\\\\\=\dfrac{2y}{y-3}\times \dfrac{2y+6}{4y-12}\\\\= \dfrac{2y \times 2y + 2y \times 6}{y(4y-12)-3(4y-12)}\\\\=\dfrac{4y^2+12y}{4y^2-12y-12y+36}\\\\=\dfrac{4y^2+12y}{4y^2-24y+36}\\\\=\dfrac{4(y^2+3y)}{4(y^2-6y+9)}\\\\ =\dfrac{(y^2+3y)}{(y^2-6y+9)}\\[/tex]
Hence, the product of the expression [tex]\rm \dfrac{\dfrac{2y}{y-3} }{\dfrac{4y-12}{2y+6}}\\\\\\[/tex] is [tex]\rm \dfrac{(y^2+3y)}{(y^2-6y+9)}\\[/tex].
To know more about the product click the link given below.
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Answer:
3
Step-by-step explanation:
D on edge 2022
Emily practices piano for 2/3 of an hour on Monday and 1/2 hour on Wednesdays. How many hours does Emily spend practicing piano in one week?
Answer:
50 minutes
Step-by-step explanation:
Given:
[tex]\bullet \ \ \text{Monday:} \ \dfrac{2}{3} \times \text{Hour}\\\\\bullet \ \text{Wednesday:} \ \dfrac{1}{2} \times \text{Hour}[/tex]
Since Emily only practiced on Monday and Wednesday, the sum of time on both days is the time Emily practiced on the piano for a week.
[tex]\implies \text{Monday + Wednesday = Total time practiced on piano for a week}[/tex]
Substitute the times in the equation
[tex]\implies (\dfrac{2}{3} \times \text{Hour}) + (\dfrac{1}{2} \times \text{Hour}) = \text{Total time practiced on piano for a week}[/tex]
Simplify the equation
[tex]\implies (\dfrac{2}{3} \times 60 \ \text{minutes}) + (\dfrac{1}{2} \times 60 \ \text{minutes}) = \text{Total time practiced on piano for a week}[/tex]
[tex]\implies (20 \ \text{minutes}) + (30 \ \text{minutes}) = \text{Total time practiced on piano for a week}[/tex]
[tex]\implies \boxed{50 \ \text{minutes} = \text{Total time practiced on piano for a week}}[/tex]
In a recent survey, 2\3 of the students
said they rode the bus to school.
There were 24 students who took
the survey. How many said that they
rode the bus to school?
Answer:
16
Step-by-step explanation:
2/3 of 24 students
2/3 * 24 = 16
(WILL MARK BRAINLIST)
Use the function f(x) = x2 – 2x + 8 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(
2.
Answer:
3 or 4, I am confused
Step-by-step explanation:
I'll assume that f(x) = x2 – 2x + 8 is meant to be f(x) = x^2 – 2x + 8
Find the value of f(x) for x = 2:
f(x) = x^2 – 2x + 8
f(2) = (2)^2 – 2*(2) + 8
f(2) = 4 - 4 + 8
f(2) = 8
=============
From the graph, we can find that g(2) = 11
The differece between g(2) and f(2) is thus:
11 - 8 = 3
3 is not an option, so I wonder if the question is asking for the difference between the absolute maximum of g(x) and f(2). If so, the maximum for g(x) is 12, at x = 3.
This would lead to a difference of 12 - 8, or 4. This is still not an option, so I'm confused. Perhaps you can find my error and find the ciorrect answer, or at least one that appears in the options.
The population standard deviation for the price of the Big Mac is six cents. If
we want to be 82% confident that the sample mean price is within three cents
of the true population mean price, how many randomly selected stores must
be analyzed?
Round your answer up to the whole number, i. E. , 4. 02 stores will be rounded
to 5 stores.
Using the z-distribution, as we have the standard deviation for the population, it is found that 8 stores must be analyzed.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have an 82% confidence level, hence[tex]\alpha = 0.82[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.82}{2} = 0.91[/tex], so the critical value is z = 1.34.
The standard deviation for the population is of [tex]\sigma = 0.06[/tex], and we want a margin of error of M = 0.03, hence we solve for n to find the sample size needed.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.03 = 1.34\frac{0.06}{\sqrt{n}}[/tex]
[tex]0.03\sqrt{n} = 1.34 \times 0.06[/tex]
Simplifying by 0.03:
[tex]\sqrt{n} = 1.34 \times 2[/tex]
[tex](\sqrt{n})^2 = (1.34 \times 2)^2[/tex]
[tex]n = 7.2[/tex]
Rounding up, 8 stores must be analyzed.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Please HALP MEEEEEEE
Answer:
18[tex]\frac{3}{4}[/tex]cm^3
Step-by-step explanation:
HELP PLEASE FOR 20 POINTS!!
Toby is x years old. Seth is y years old. Seth is three years less than twice as old as Toby. Which equation correctly relates the ages of Toby and Seth?
!!!!IF YOU GIVE ME A LINK OR NOT THE ANSWER ILL REPORT!!!!!!
Answer:
B) y = 2x - 3
Step-by-step explanation:
Seth's age = y
Twice as old as Toby = 2x
3 years less = -3
Hope this helps!
It takes 102 pounds of seed to completely plant a 12 -acre field. How many acres can be planted per pound of seed?
Answer:
8.5 acres
Step-by-step explanation:
12 pound = 102
1 pound= 102/12= 8.5
So we can plant 8.5 acre field with 1 pound of seed.
Please give me brainliest . :-)
What type of quadrilateral is this? Select all that apply.
options:
parallelogram
rhombus
rectangle
square
Answer:rhombus
Step-by-step explanation: Its a square but one of the corners is holding it up and all sides are equal it might not seem at first but its an rhombus for sure!
Hope i helped
The box plots display the same data for the number of crackers in each snack bag, but one includes the outlier in the data and the other excludes it. 4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21 number of crackers in each bag, with outlier a number line goes from 0 to 26. the whiskers range from 4 to 21, and the box ranges from 15 to 20. a line divides the box at 16. number of crackers in each bag, without outlier a number line goes from 0 to 26. the whiskers range from 14 to 21, and the box ranges from 15 to 20. a line divides the box at 17. which statement comparing the box plots is true? both the median and the range changed. both the range and the lower quartile changed. both the median and the interquartile range changed. both the interquartile range and the lower quartile changed.
Both the median and the range changed, the correct option is A.
What is the median?Median, in statistics, is the middle value of the given list of data, when arranged in an order.
The data set that contains the outlier is given as:
4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the data is: 4
The median or middle quartile i.e. [tex]\rm Q_2[/tex] is the central tendency of the data and exists in the middle of the data.
The median is: 16
Also, the lower set of data is:
4,14,15,15,16
The lower quartile i.e. [tex]\rm Q_1[/tex] is the median of the lower set of data.
The lower quartile i.e. [tex]\rm Q_1[/tex] = 15
Similarly, the upper set of data is:
18, 19, 20, 20, 21
the upper quartile i.e. [tex]\rm Q_3[/tex] is the median of the upper set of data.
upper quartile i.e. [tex]\rm Q_3[/tex] = 20
Also, the interquartile range is:
[tex]\rm Q_3-Q_1=20-15=5[/tex]
The maximum value of the set is 21.
Range = Maximum value-Minimum value =21 - 4 = 17
As we know that 4 is the outlier of the data as it is the smallest as compared to all the data points.
After removing the outlier the data set is:
14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the set =14
The maximum value of set =21
Range = Maximum value-Minimum value =21-14 = 7
Hence, Both the median and the range changed.
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Rodrigo is helping make mashed potatoes for Thanksgiving. He plans to add 4 fluid ounces of heavy cream to his potatoes. If he buys a 1-pint carton, how many fluid ounces will he have left?
copy the given expression on your answer sheet
The population of bulgaria has been decreasing at an annual rate of 0.89%. if the population of bulgaria was about 7,450,349 people in the year 2005, predict its population in the year 2015.
Answer:
i have uploaded an answer i have found from the internet hope this helps :)
Step-by-step explanation:
The radius of a cylinder is 3 yards, and the total surface area is 320 square yards. Which of the following is the closest to the height of the cylinder in yards?
A) 14.0 yd
B )20.0 yd
C )15.5 yd
D) 17.0 yd
Answer:
its A 14.0
Step-by-step explanation:
Indicate the equation of the given line in standard form. Write the answer in the equation box below.
The line containing the hypotenuse of right triangle ABC where A (–5, 5), B (1, 1), and C (3, 4) are the vertices.
Answer:
x + 8y - 35 = 0.
Step-by-step explanation:
The hypotenuse is the line joining A and C.
Slope = (4-5) / (3 + 5)
= -1/8.
Equation is:
y - 4 = -1/8(x - 3)
y - 4 = -1/8x + 3/8
1/8x + y - 35/8 = 0
x + 8y - 35 = 0
What is the sum of 4x and 7?
A. 4x+7
B. 3x
C. 11x
D. 3
Answer:
A. 4x+7
Step-by-step explanation:
What is the sum of 4x and 7?
Add 4x + 7
A. 4x+7B. 3x
C. 11x
D. 3
Answer:
A. 4x+7
Step-by-step explanation:
4x has x-term as a variable while 7 only remains as a constant. Therefore, you cannot combine both terms as 11x since 4x and 7 are not like term.
Like terms are terms that have same variables and degrees. Some examples are:
2x and x are like term.3x and 8x are like term.Non-like terms are terms that have different variables and degree. Some examples are:
x and y are not like term.x² and x are not like term.Like terms operation:
2x + x = 3x4x + 5x = 9x9z + 2z = 11zNon-like terms operation:
2x + 3y remains as itself.sum of 4 and 7x is 4 + 7x.Let me know if you have any questions.
Express in simplest form.
Answer:
[tex]3a^{2} b^{2} -6a[/tex]
Step-by-step explanation:
[tex]\frac{15a^{3}b(3ab^{2}-6 ) }{15a^{2} b}[/tex] take [tex]15a^{3}[/tex]b common
[tex]=3a^{2} b^{2}-6a[/tex] cancel like terms
What is formula for Standard Deviation (σ)
In Individual series
☙[tex] \huge \mathfrak{\pink{ \fbox{ \green{S.D}}}}[/tex]
Answer:
[tex]sd = \sqrt{ \frac{ fx {}^{2} }{f} - ( \frac{fx}{f}) {}^{2} } [/tex]
39
The school band held a fundraiser by selling books and magazines. The diagram shows that
the numbers of books Donna and Gemma each sold are proportional to the numbers of
magazines each girl sold.
DONNA
GEMMA
KEY
= 1 Book
= 1 Magazine
What is the constant of proportionality?
A
magazine per book
B books per magazine
24 - Doano reapazine
8 Doana
36 - Genma magazines
12 – Generes boole
,
book
С
3 magazines per book
D
6 books per magazine
the answer is C 3 magazines per book
Find the length x.
3.5
2.5
0
5
X
Answer:
x
=
3.5
=
2.5
=
0
=
5
X
=
Step-by-step explanation:
I need help, please.
Answer:
2.5
Step-by-step explanation:
you take 15 and divide it by 6 and that gives you 2.5
Answer: is it D). 2.5 hours?
Step-by-step explanation:
Which of the following statements is true of 9 and -9?
Answer:
2&3
Step-by-step explanation:
They have the same absoulte value
You have to go 18 numbers to get from each other.
They are opposite numbers.
One is negative and one is positive.
Hope it Helps
cos^2-sin^2=1/3
so what is cos^4-sin^4
Step-by-step explanation:
[tex]cos ^{2} x - \sin ^{2} x = \frac{1}{3} [/tex]
[tex] \frac{(cos ^{2}x - \sin ^{2} x)(cos ^{2}x + \sin ^{2} x)}{(cos ^{2}x + \sin ^{2} x)} = \frac{1}{3} [/tex]
[tex] \frac{(cos ^{4}x - \sin ^{4} x)}{1} = \frac{1}{3} [/tex]
as cos²x+sin²x=1
Hence
cos⁴x-sin⁴x=1/3
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units? (x – 3)2 (y – 5)2 = 6 (x – 3)2 (y – 5)2 = 36 (x 3)2 (y 5)2 = 6 (x 3)2 (y 5)2 = 36
The equation of the circle is (x + 3)² + (y + 5)² = 36. Then the correct option is B.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The center of a circle at (–3, –5) and a radius of 6 units. Then the equation will be given as
(x + 3)² + (y + 5)² = 6²
(x + 3)² + (y + 5)² = 36
Then the equation of the circle is (x + 3)² + (y + 5)² = 36.
More about the circle link is given below.
https://brainly.com/question/11833983
Answer:
D
Step-by-step explanation:
I did it B)
What is the length of the cylinder's height? Please help
Answer:
Height = 9 cm which means Option C is the answerStep-by-step explanation:
In the question we are given ,
Volume of cylinder = 225π cm³Radius of cylinder = 5 cmAnd , we have to find the height of cylinder .
We know that ,
[tex]
\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow[/tex]
Our solution starts from here :
[tex] \longmapsto \: \pi \: r {}^{2} h = 225\pi[/tex]
Step 1 : Cancelling π with π :
[tex] \longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}[/tex]
Step 2 : Substituting value of radius which is 5 cm in the formula :
[tex] \longmapsto \: (5) {}^{2} \times h = 225[/tex]
[tex] \longmapsto \: 25h = 225[/tex]
Step 3 : Transposing 25 to right hand side :
[tex] \longmapsto \: h = \frac{225}{25} [/tex]
Step 4 : Cancelling 225 by 25 :
[tex] \longmapsto \: \red{\boxed{h = 9 \: cm}}[/tex]
Henceforth , height of cylinder is 9 cm#Keep LearningFind the missing angle using the diagram below. The figure is a parallelogram.
(5x + 5)°
135
28
180
90
145
Answer:
145°
Step-by-step explanation:
35+(5x+5)° = 180° (opposite angles sum up to 180°)
35+5x+5 = 180
40+5x = 180
5x= 180- 40
5x = 140
x = 28
therefore, the missing angle = (5x+5)°
= (5×28+5)= 140+5= 145°
Ian's house and land have a market price of $225,000 and an assessed value of 55% of that amount. his state has a property tax rate of 0.088. how much does ian pay in property tax every year? a. $19,800 b. $18,900 c. $10,890 d. $8,910
Ian pay $10,890 in property tax every year if the assessed value of 55% of that amount and his state has a property tax rate of 0.088 option (c) is correct.
What is property tax?It is defined as the amount paid by the owner of the property such as land, buildings etc.
We have:
Lan's house and land have a market = $225,000
Assessed value = 55% ⇒ 0.55
Property tax rate = 0.088
We know the formula for property tax is given by:
Property tax = tax rate×assessed value×market value
Put the values in the above formula, we get:
Property tax = 0.088×0.55×225000
= $10,890
Thus, Ian pay $10,890 in property tax every year if the assessed value of 55% of that amount and his state has a property tax rate of 0.088.
Learn more about the property tax here:
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