The yard is obtuse!
[tex]\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Explanation :-}}}}}}[/tex]
Determination of acute angled triangle:-When the square of the longest side is less than the sum of the squares of two shorter sides then the triangle is acute angled.Determination of right angled triangle:-When the square of the longest side is equal to the sum of the squares of two shorter sides then the triangle is right angled .Determination of obtuse angled triangle:-When the square of the longest side is more than the sum of the squares of two shorter sides then the triangle is obtuse angled.[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
Final answer ⤵️Longest side = 120 feetShorter side = 85 feetShortest side = 84 feet[tex] \sf \longrightarrow \: {120}^{2} > {85}^{2} + {84}^{2} [/tex]
[tex] \sf \longrightarrow \:14400> 7225 + 7056[/tex]
[tex] \sf \longrightarrow \:14400> 14281[/tex]
[tex] \qquad \mathbb{TRUE}[/tex]
Thus, The triangle is obtuse angled...~
We need angle
Apply law of cosines
[tex]\\ \rm\Rrightarrow c^2=a^2+b^2-2abcos\gamma[/tex]
[tex]\\ \rm\Rrightarrow 2abcos\gamma=a^2+b^2-c^2[/tex]
[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{a^2+b^2-c^2}{-2ab}[/tex]
[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{120^2+84^2-85^2}{-2(120)(84)}[/tex]
[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{14400+7056-7225}{-20160}[/tex]
[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{14231}{-20160}[/tex]
[tex]\\ \rm\Rrightarrow cos\gamma=-0.714[/tex]
[tex]\\ \rm\Rrightarrow \gamma=cos^{-1}(-0.714)[/tex]
[tex]\\ \rm\Rrightarrow \gamma=135.56°[/tex]
The yard is obtuse
Reflection of point P (3,-1) over the line y=x is
Answer:
(-3,-1)
Step-by-step explanation:
If = 14,700,-473,4644,84 . Then, Z is what
The equation is an illustration of the subtraction equation
The value of z in the equation is -473449784
What are equations?Equations are expressions that have equal values, when compared
How to determine the value of z?The equation to determine the value of z is given as:
z = 14,700,-473,4644,84
Evaluate the difference
z = -473449784
Hence, the value of z in the equation is -473449784
Read more about equations at:
https://brainly.com/question/2972832
Bonds with a face value of $744000 and a quoted price of 98.5 have a selling price of
Answer:
67.91
Step-by-step explanation:
what is [tex]\frac{w}{3}[/tex] + [tex]\frac{5}{6}[/tex] = [tex]\frac{1}{12}[/tex]
my answer was w = - [tex]\frac{9}{4}[/tex]
On a standardized test, Jose scored an 87 and Mia scored a 74. The distribution of test scores for the population is normal with a population mean of 76.28 and a population standard deviation of 7.02.
What percentage of people received a higher score than Jose?
Using the normal distribution, it is found that 6.3% of people received a higher score than Jose.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 76.28, \sigma = 7.02[/tex].
The proportion of people who received a higher score than Jose is one subtracted by the p-value of Z when X = 87, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{87 - 76.28}{7.02}[/tex]
[tex]Z = 1.53[/tex]
[tex]Z = 1.53[/tex] has a p-value of 0.937.
1 - 0.937 = 0.063.
6.3% of people received a higher score than Jose.
More can be learned about the the normal distribution at https://brainly.com/question/24663213
436 +2312 leaving your answer in base 4 and 8728-3456 leaving your answer in base 9
What's the exact area and the exact perimeter of square EFGH shown in the coordinate plane?
Using the distance between two points to find the length of the side of the square, it is found that:
The area is of 50 square units.The perimeter is of [tex]20\sqrt{2}[/tex] units.Hence, option A is correct.The distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
In this problem, the length of the side of the square can be found as the distance between points G and H, that is, the distance between (0,5) and (-5,0), hence:
[tex]l = \sqrt{(0 - (-5))^2 + (5 - 0)^2} = \sqrt{50} = \sqrt{2 \times 25} = 5\sqrt{2}[/tex]
The area of a square of side length l is given by:
[tex]A = l^2[/tex]
Hence:
[tex]A = (5\sqrt{2})^2 = 50[/tex]
The area is of 50 square units.
The perimeter of a square of side length l is given by:
[tex]P = 4l[/tex]
Hence:
[tex]P = 4(5\sqrt{2}) = 20\sqrt{2}[/tex]
The perimeter is of [tex]20\sqrt{2}[/tex] units.
You can learn more about distance between two points at https://brainly.com/question/18345417
Answer:
IT'S A
Step-by-step explanation:
What type of decimal is this fraction: 11/20
1.Group of answer choices
2.repeating
3.neither
4.both
5.terminating
Answer:
I think the answer is repeating because it'd be
0.55
Solve for x and graph the solution on the number line below.
The solution to both inequality is [tex]x>-1[/tex] and [tex]x\leq 7[/tex].
We have equation [tex]-2>-4x-6[/tex] and [tex]-34\leq -4x-6[/tex]
Let us solve the inequality
[tex]-2>-4x-6\\-2+6>-4x\\4>-4x\\x>-1[/tex]
Now, let us solve the inequality
[tex]-34\leq -4x-6\\-34+6\leq -4x\\-28\leq -4x\\x\leq 7[/tex]
Learn more:https://brainly.in/question/9995212
If t < s and s < r, what is the relationship between the values t and r?
Answer:
r is much larger compared to t.
r is much larger compared to the largness of s to r.
Step-by-step explanation:
Write an equation of the line that passes through (0, 5) and (−1.5, 1).
Answer:
y = 2.667x + 5
Jess is overseas and withdraws $150.00 from his account. His bank charges a foreign transaction fee of
$6.00, plus 2.5% when converting to the local currency. How much will his bank charge in fees?
Answer:
$9.75Step-by-step explanation:
Given
The sum taken = $150One off fee = $6Rate of conversion = 2.5%Total fees
6 + 150*0.025 = 6 + 3.75 = $9.75Answer:
$9.75
Step-by-step explanation:
Take the percentage off what he withdrew.
2.5% = 0.025
150 * 0.025 = 3.75
Add the transaction fee.
6 + 3.75 = $9.75
Best of Luck!
Choose the expression that represents a quadratic expression.
O 6x4 - 5x3 + 3x2 -7x - 8
O 5x3 + 3x2 -7x - 8
© 2x2 + 3x - 1
© 3x - 1
Answer:
[tex]2x {}^{2} + 3x - 1[/tex] option(c)
Step-by-step explanation:
[tex]its \: 2x {}^{2} + 3x - 1 \\ because \: the \: highest \: power \: of \: the \: unkown \: is \: 2[/tex]
Jocelyn and linda own a bakery. they had 388 custoners this week, 55 fewer than last week. write and algebraic equation for the number of customers they had last week (Let c be the number of costumers they had last week.)
Answer:
c - 55 = 338
Step-by-step explanation:
fifty-five fewer than the number last week is 338
c - 55 = 338
algebraic equation: c - 55= 338
Hope it helps!!!Brainliest pls!!!WILL GIVE BRAINLIEST(If it helps me) SO PLEASE HELP
A weight loss organization has a new member who weighs 210 pounds. After 6
months the member hopes to weigh 162 pounds.
a. Write a linear model that represents the member's weight loss goal.
b. According to the linear model, how much should the member weight after 9
months?
c. What is the slope of this function? What does the slope represent in this scenario?
Answer:
Our calorie calculator will tell you how many calories you ... If you would like to lose or gain weight, you can also enter ... Here is the backstory on the following fantastic ...
Step-by-step explanation:
make me as brain liest
Please type out the correct one for me out of those 2 thanks <4
Answer:
1.2n=0.45n+1.5
Step-by-step explanation:
Enter the improper fraction as a mixed number.
32/9
Answer:
[tex]\3[/tex]3 [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
what is 1365in Egyptian numeral
Answer:
I used an Egyptian numeral converter.
Step-by-step explanation:
what is the y-intercept of f(x)=(1/3)^x
Answer:
1.
Step-by-step explanation:
To find the y-intercept of an equation, you substitute 0 for x in the function.
f(x)=(1/3)^x
f(x)=(1/3)^(0)
f(x)=1
please help
A bank employee combines the constant function f(t)=5000 and the linear function g(t)=250t to create the function h(t)=f(t)+g(t), where h(t) represents the value, in dollars, of an account earning simple interest after t years.
Based on the function h(t), what will be the account value 5 years after the account is opened?
A.) $5,250
B.) $6,250
C.) $25,250
D.) $26,250
Answer:
B. $6,250
Step-by-step explanation:
Given data
constant function f(t)=5000
linear function g(t)=250t
new function= h(t)=f(t)+g(t)
the new value will be
5000+250t
substituting t = 5 in the linear function we have
=5000+250(5)
=5000+1250
=6250
the answer is $6250
the answer is option B
Given the polynomial, f(x)= x³ + kx² - 2x + 1, and that f(x) is divided x-k the remainder is k, find the possible values of k.
Answer:
k=1
Step-by-step explanation:
According to the remainder Theorem, if we have a polynomial then if it divided by (x-a), the remained will be equal to
[tex]f(a)[/tex]
So we know that the factor is
[tex](x - k)[/tex]
So plug in k into the polynomial
[tex]f(k) = k {}^{3} + k(k) {}^{2} - 2(k) + 1 = k[/tex]
[tex]k {}^{3} + k {}^{3} - 2k + 1 = k[/tex]
[tex]2k {}^{3} - 3k + 1 = 0[/tex]
Solve for k.
Using Rational Roots Theorem, one possible root is 1 so we have
[tex]2k {}^{2} + 2k - 1 = 0[/tex]
Since that is irreducible over reals, 1 is our only factor so k=1.
The weight of an object on Planet X is twice that of its weight on Earth and one third of its weight on Planet Y. If an object on Earth weighs 100 units, what is its weight on Planet Y?
Answer:
33.3333333333
Step-by-step explanation:
100 divided 1/3 = 33.3333333333
hope it helped
Whats the height of the rectangular prism
Answer:
length l = 32.25 m
width w = 8223.75 m
height h = 12.5 m
diagonal d = 8223.82273 m
total surface area Stot = 736831.875 m2
lateral surface area Slat = 206400 m2
top surface area Stop = 265215.938 m2
bottom surface area Sbot = 265215.938 m2
volume V = 3315199.22 m3
Step-by-step explanation:
Determine the length and width of a rectangle if the perimeter is 42 and the length
is six more than twice the width.
Answer: The width would be 5 and the length would be 16
Step-by-step explanation:
If the length is 5… double that up, and you get 10. Six more than ten is 16… double that and you get 32. And then if you add 32+10 you get your total of 42 for the perimeter.
Emma buys two identical bottles of shampoo. She uses of 3/8 one of them at home, and uses 7/10
of all the remaining shampoo while she is on holidays. In total, how much shampoo remains?
Answer:
Step-by-step explanation:
she uses 3/8's of one of them and 7/10 of the other one. first, you need to make the denomanators the same number. so the answer is 3/16 of the starting amount
A car rental company charges a daily rate of $41 plus $0.10 per mile for a certain car. Suppose that you rent that car tor a day and your bill (before taxes) is $86. How many miles did you drive?
which choices are correctly written in a scientific notation ? select the four correct answers
Answer:
34
Step-by-step explanation:
Answer:B,D,F,G
Step-by-step explanation:
Find the value of x in the figure below Assume that the lines are parallel
Answer: 15
Step-by-step explanation:
How many solutions does the following equation has
Answer:
I think only 1 but not 100% sure
Step-by-step explanation:
Answer:
One solution
Step-by-step explanation:
Combine like terms and simplify.
20z - 5 - 12z = 10z + 8
⇒ z(20 - 12) - 5 = 10z + 8
⇒ z(8) - 5 = 10z + 8
⇒ 8z - 5 = 10z + 8
Subtract 8z both sides.
⇒ 8z - 8z - 5 = 10z + 8 - 8z
⇒ -5 = 2z + 8
Subtract 8 both sides.
⇒ -5 - 8 = 2z + 8 - 8
⇒ -13 = 2z
⇒ -13/2 = 2z/2
⇒ -6.5 = z
Thus, there is 1 solution.
Find the sum. Enter your answer in the box.
3 + (–4)
Answer:
the answer is -1
Step-by-step explanation:
Answer:
The answer is -1
Step-by-step explanation:
If you have 3 and you take away 4, so you end up with a negative number. or what you can do is also just flip the numbers around so subtract 4 minus 3 and put a negative sign when the first number is less than the second one!!
Hope this helps!!!!