Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 81
81² = 6561
13² + 80² = 169 + 6400 = 6569
Since 6561 ≠ 6569 then they do not form a right triangle
Using reverse Pythagoras theorem, the three sides of lengths of triangle does not form right triangle.
What is reverse Pythagoras theorem?Reverse Pythagoras theorem states that "the square of the longest side is equal to the sum of the squares on the other two sides then the triangle is right triangle".
What is right triangle?
A triangle in which "one angle is 90° and the other two sides are perpendicular to each other is called right triangle."
According to the question,
Three sides lengths of triangle 13, 80 and 81. In order to find this triangle is right triangle or not.
Let a = 13, b=80, and c = 81
Reverse Pythagoras theorem c² = a² + b²
(81)² = (13)² + (80)²
6561 = 169 + 6400
6561 ≠ 6569
Hence, using reverse Pythagoras theorem, the three sides of lengths of triangle does not form right triangle.
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How do you solve this?
Geometric Mean Middle, Left, Right
Determine the value of x, y, w and z.. Round to the nearest tenths place if necessary.
X =
y =
W =
Z=
Answer:
w=5 x=2.1 y=5.4 z= 14.1
Step-by-step explanation:
w² = 13² - 12² = 25
w = 5
cos ∠1 = 12/13 = 13/(12+x)
12 (12+x) = 13 x 13 = 169
144 + 12x = 169
12x = 25
x = 25/12 = 2.08 = 2.1
∠1 + ∠2 = 90°
∠2 + ∠4= 90° ∠4 = ∠1
sin ∠4 = x/y = sin ∠1 = 5/13
5y = 13x
y = 13/5 x = 13/5 * 25/12 = 65/12 = 5.4
z = 12 + x = 12 + 2.08 = 14.08 = 14.1
What is the answer??
Answer:
Tangent to a circle
Step-by-step explanation:
Sorry but I can't draw on this but if you draw it out then the question should become clearer.
hiii please help! i’ll give brainliest if you give a correct answer tysm!
Answer:
The answer is D
Step-by-step explanation:
You cross multiply 5 and 5 and 2 and 6 to create a new fraction
Answer:
12/25
Step-by-step explanation:
so what you would do is keep the first fraction (2/5) then change the symbol then flip the last fraction (5/6). so then you would multiply 2*6= 12 and 5*5=25. so the answer would be 12/25.
A baker evenly divides 55 muffins into 9 boxes.
Each box contains
muffins and
muffins remain.
Answer:
each box has 6 muffins and 1 remains
hope this helps! :)
Please help!
The sum of two numbers is 52. Their difference is 4. Find both numbers.
Form: Ax+By=C
Answer:
THE ANSWER IS 44!
Step-by-step explanation:
Need help i will mark brainliest
Answer:
6 sq. in
Step-by-step explanation:
To find area of triangle: base* height *1/2
height needs to be at a 90 degree angle from the base.
In this example, the base is 3 in, and the height is 4 in.
Plug these two into the equation
3 * 4 * 1/2 = 12 * 0.5 = 6
What is the translation rule for this transformation?
options:
T(x, y) -> (x+3, y+6)
T(x, y) -> (x-3, y-6)
T(x, y) -> (x -6, y-3)
T(x, y) -> (x+6, y+3)
9514 1404 393
Answer:
(b) T(x, y) -> (x-3, y-6)
Step-by-step explanation:
Each image point is 3 left and 6 down from the corresponding pre-image point. That is -3 is added to each x-value, and -6 is added to each y-value. That transformation is represented by ...
T(x, y) ⇒ (x-3, y-6)
for each value of y , determine whether it is a solution to 3y<24.
Answer:
1) No
2) Yes
3)No
4)Yes
Step-by-step explanation:
1) 3(8) is simplified to 24
But 24 < 24 is not a true statement because they are both equal.
2) 3(5) is simplified to 15
15 < 40 is a true statement because 15 is less than 24
3) 3(11) simplifies to 33
33 < 24 is not a true statement because 33 is more than 24
4) 3(6) simplifies to 18
18 < 24 is a true statement because 18 is less than 24
Hope this helped.
Find the equation of the circler whose diameter has the end points A( 5,4) and B(7,4)
Answer:
(x-a) whole square + (y-b) whole square =r square
you will get answer
Prove algebraically that the recurring decimal 0.472 can be written as
17
36
Given:
The recurring decimal is [tex]0.47\overline{2}[/tex].
To prove:
Algebraically that the recurring decimal [tex]0.47\overline{2}[/tex] can be written as [tex]\dfrac{17}{36}[/tex].
Proof:
Let,
[tex]x=0.47\overline{2}[/tex]
[tex]x=0.472222...[/tex]
Multiply both sides by 100.
[tex]100x=47.2222...[/tex] ...(i)
Multiply both sides by 10.
[tex]1000x=472.2222...[/tex] ...(ii)
Subtract (i) from (ii).
[tex]1000x-100x=472.2222...-47.2222...[/tex]
[tex]900x=425[/tex]
Divide both sides by 900.
[tex]x=\dfrac{425}{900}[/tex]
[tex]x=\dfrac{17}{36}[/tex]
So, [tex]0.47\overline{2}=\dfrac{17}{36}[/tex].
Hence proved.
A die is rolled 25 times and 12 evens are observed. Calculate and interpret a 95% confidence interval to estimate the true proportion of evens rolled on a die.
Answer:
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 25, \pi = \frac{12}{25} = 0.48[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue 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}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758[/tex]
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
Mrs. Larson, the science teacher, collected 18 sedimentary rocks and 12 metamorphic ones. Now she wants to create some identical kits for studying rocks, without having any rocks left over. What is the greatest number of kits she can create?
Answer:
The greatest number of kits she can create is 6 kits
Step-by-step explanation:
We can solve the above question using the greatest common factor method.
We have to find the factors of 18 and 12
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
Then the greatest common factor is 6.
Therefore, greatest number of kits that she can create is 6 kits
The number of sedimentary rocks in each kit
18 sedimentary rocks /6 kits = 3 sedimentary rocks
The number of Metamorphic rocks in each kit =
12 metamorphic ones/ 6 kits = 2 metamorphic rocks
what expression is equivalent to h + 5 + 3 - 2h
The equivalent expression of h + 5 + 3 - 2h is -h+8.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
We have the expression:
h + 5 + 3 - 2h
To find the equivalent expression:
We simplify the expression,
h + 5 + 3 - 2h
= h -2h +5+ 3
= -h +8
-h+8 is the equivalent expression of h + 5 + 3 - 2h.
Therefore, -h +8 is the equivalent expression.
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Jeremy is plotting a line with a slope of 3. He starts by plotting the point (-4,-3). He then plots a second point on the line 6 units to the right, and k units up. His value of k must be a. 9 b. 18 c. 2 d. 24
Answer:
27
Step-by-step explanation:
Slope = 3
(-4, - 3) (6, k)
(y2 - y1) /(x2 - x1) = 3
(k + 3) / (6 + 4) = 3
(k +3) / 10 = 3
k + 3 = 30
k = 30 - 3
k = 27
express the ratio in its simplest form 12cm to the 2nd power :3m to the 2nd power
Answer:
16:1
plz brainliestt
Step-by-step explanation:
144 : 9
Answer:
16:1
Step-by-step explanation:
Part A
How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
PLS HELPP PLSSSSSSSSSSs
Part B
If Marcus’s dad wanted to re-cover the whole tent including the bottom, how much material would he need? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer:
A) How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer: If David’s dad wanted to cover the rectangular side of the tent, he would need to multiply the sides together. Using the formula A = l x w, I can solve for 6 and 9. 9 x 6 = 54, so 54 = 6 x 9.
B) If David’s dad wanted to re-cover the whole tent including the bottom, how much material would he need? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer: If he wanted to re-cover the whole tent, he would need the product of the rectangular side, the triangular side, and the bottom side. Using A = l x w, I can solve for each side of the tent, For the rectangular side you multiply six by nine, then multiply two by the product. 6 x 9 = 54 x 2 = 108. For the triangular side, I need to multiply six times seven, 6 x 7 = 42. For the bottom, I need to multiply seven times nine, 7 x 9 = 63. Finally, I need to add them all up. 108 + 42 + 63 = 213 ft².
C) What is the volume of the tent? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning. (You need to find the area of one of the triangular bases, and then you can take that measurement and multiply it with the height of the entire prism.) V=Bh, where B = area of one of the triangular bases
Answer: I need to find the volume of the tent, so I need to find the formula which is V = B x h. The base is 63, because I needed to find the area of one of the triangular bases, so I multiplied 7 x 9 = 63. The height is 6, so I need to multiply 63 x 6. When I multiply 63 x 6, I get the product of 378, so the volume of the tent is 378 ft³.
What happens to a figure that is dilated by a factor of ½ .
Answer:
i really dont know
Step-by-step explanation:
A school is looking to cater an event by having a food truck. Food truck A will charge $1.50 for each item sold and a fee of $50 to come to the school. Truck B will charge $2.75 per item but will not charge a fee to come to the school. How many items must the school purchase to have the cost of these two trucks be the same? Enter in your numerical answer.
Answer:
40 items
Step-by-step explanation:
I used the equation 1.5x+50=2.75x to find the answer. If the school were to buy 40 items from either truck, they would both amount to 110.
Sherry is driving 390 miles to visit The gateway arch in St. Louis. She drives at an average rate of 65 miles per hour. Explain how you can find the amount of time it will take Sherry to get to the arch
Answer:
t = 6 s
Step-by-step explanation:
Given that,
Sherry is driving 390 miles to visit The gateway arch in St. Louis.
She drives at an average rate of 65 miles per hour.
We need to find the amount of time it will take Sherry to get to the arch. Let the time is t.
Speed = distance/time
[tex]t=\dfrac{d}{v}\\\\t=\dfrac{390}{65}\\\\t=6\ h[/tex]
Hence, it will take 6 hours to get to the arch.
6+8b-2b^2+3b^4
The polynomial in standard form is _
Answer:
3b^4−2b^2+8b+6
Solve the system by using substitution show work
2x - y = 5
x = y-1
Student Council needs $600 for the
spring dance. They only have $210 in the
treasury. The Student Council decides to raise
the rest by selling chocolate lollipops for a $1.50
profit per lollipop. Write and solve an equation
the Student Council could use to find the
number of chocolate lollipops, c, the Student
Council must sell to have the money for the
spring dance.
Answer:
$490MARK ME AS BRAINLY#Carry On LearningA committee must be formed with 5 teachers and 4 students. If there are 6 teachers to choose from, and 15 students, how many different ways could the committee be mad?
Answer:
8190 ways
Step-by-step explanation:
Given
[tex]Teachers = 6[/tex]
[tex]Students = 15[/tex]
Selection
[tex]Students = 4[/tex]
[tex]Teachers = 5[/tex]
Required
Number of ways of selection
4 students can be selected from 15 students in:
[tex]Students= ^{15}C_4[/tex]
Similarly.
5 teachers can be selected from 6 teachers in:
[tex]Teachers= ^{6}C_5[/tex]
So, the required number of selection is:
[tex]Selection = ^{15}C_4 * ^6C_5[/tex]
Apply combination formula:
[tex]Selection = \frac{15!}{(15-4)!4!} * \frac{6!}{(6-5)!5!}[/tex]
[tex]Selection = \frac{15!}{11!4!} * \frac{6!}{1!5!}[/tex]
[tex]Selection = \frac{15*14*13*12*11!}{11!*4*3*2*1} * \frac{6*5!}{1*5!}[/tex]
[tex]Selection = \frac{15*14*13*12}{4*3*2*1} * \frac{6}{1}[/tex]
[tex]Selection = \frac{32760}{24} * 6[/tex]
[tex]Selection = 1365 * 6[/tex]
[tex]Selection = 8190[/tex]
Suzie ran a race. She ran 5 miles per hour, and the race took t hours to complete. If the race is 60 miles long, which expression represents the total number of miles Suzie will have left to complete the race? *
pLZ ANSWER QUICK !!!
The Answer: 60 ÷ 5 = T
PLEASE HELP 3844893 POSTING THIS ND I HAVENT BEEN HELPED
Answer:
ghnmjmmm
Step-by-step explanation:
fggnmmm
Answer:
x= 4
y= 2
Step-by-step explanation:
sorry if im wrong
Which turtle has the fastest speed?
The speed of a turtle can be found by
distance by time.
is the fastest turtle.
The speed of the fastest turtle is
centimeters per minute.
Answer:
dividing is how you get the answer to the distance and the turtles was faster then the two others
Step-by-step explanation:
hope this helps
Answer:
its d b and d
Step-by-step explanation:
I NEED HELP PLEASE !!!!
Answer:
C.
Step-by-step explanation:
If all points on the circle are the same distance from point S, it means that point S is the centre of the circle.
Consequently, the circle would be named after point S, being the centre of the circle.
Therefore, the correct name of the circle would be circle S (OS).
C is the answer.
A company that makes hair-care products had 4,000 people try a new shampoo. Of 4,000 people, 24 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Please help me!!!
the answer is 0.6% i think hope this helps
Answer:
0.6%
Step-by-step explanation:
[tex]\frac{24}{4000}[/tex] = 0.6%
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 4000 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 4000, so we can write it down as 100%=4000.
4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.
5. Now we have two simple equations:
1) 100%=4000
2) x%=24
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=4000/24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 24 is what percent of 4000
100%/x%=4000/24
(100/x)*x=(4000/24)*x - we multiply both sides of the equation by x
100=166.666666667*x - we divide both sides of the equation by (166.666666667) to get x
100/166.666666667=x
0.6=x
x=0.6
now we have:
24 is 0.6% of 4000
I am having trouble with is question plz help. What is 2x × x =
Answer:
X
Step-by-step explanation:
CAUSE
2X=X
DIVIDE BOTH SIDE BY 2 EQUAL ONE AND ONE IS EQUAL TO ( X)
In Ms. Regan's closet, there is one gray t-shirt for every two black t-shirts. She buys 6 gray shirts so she now has an equal number of gray and black shirts. How many gray t-shirts and black t-shirts does she own now?
Answer:
12
Step-by-step explanation:
Given That:
1 gray t-shirt for every 2 black shirt
Number of gray shirts bought = 6 to ensure that number of gray and black t-shirts are the same
Before:
If x = number of gray t-shirt
Number of black t-shirts = 2x
Now :
After buying 6 gray t-shirts
x + 6 = 2x
6 = 2x - x
6 = x
x = 6
Hence,
Numbe of gray and black t-shirt now is :
x + 6 = 6 +6 = 12
2(x) = 2 * 6 = 12