Which set of numbers can represent the side lengths, in inches, of an acute triangle?
o 4,5,7
O 5,7,8
O 6,7, 10
O 7.9, 12
Answer:
5 , 7 , 8 represent the side of acute angled triangle
Set B with sides 5 , 7 , 8 represent the side of acute angled triangle.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that:
Set of numbers.
Now, We use the following result:
When given 3 triangle sides then to determine if the triangle is acute angled , right angled or obtuse angled.
First find Square all 3 sides, then Sum the squares of the 2 shortest sides and then Compare the sum to the square of the last side.
if sum > Square of last side ⇒ it is Acute Triangle
if sum = Square of last side ⇒ it is Right Triangle
if sum < Square of last side ⇒ it is Obtuse Triangle
a). 4 , 5 , 7
4² = 16 , 5² = 25 , 7² = 49
16 + 25 = 41
Hence, 41 < 49
⇒ It is an Obtuse Triangle.
b). 5 , 7 , 8
5² = 25 , 7² = 49 , 8² = 64
25 + 49 = 74
Hence, 74 > 64
⇒ It is an acute Triangle.
c). 6 , 7 , 10
6² = 36 , 7² = 49 , 10² = 100
36 + 49 = 85
Hence, 85 < 100
⇒ It is an Obtuse Triangle.
d). 7 , 9 , 12
7² = 49 , 9² = 81 , 12² = 144
49 + 81 = 130
Hence, 130 < 144
⇒ It is an Obtuse Triangle.
Therefore, Set B with sides 5 , 7 , 8 represent the side of acute angled triangle.
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Write (−3) (−3)(−3) (−3) using exponents
Answer:
[tex] { - 3}^{4} [/tex]
Step-by-step explanation:
Negative 3 using exponents will be negative 3^4
Answer:
3^4, or (-3)^4
Step-by-step explanation:
We are multiplying -3 four times, so
(-3)^4
Since we are multiplying an even amount of times, that equals (3)^4
I hope this helps! :)
PLS SOMEONE HELP ME ASAP
Answer:
A. (2i)(8) = d. 16i
B. 16i³ = b. -16i
C. (2i)⁴ = a. 16
D. (2i)(8i) = c. -16
Step-by-step explanation:
A. Multiply 2i by 8 to get 16i, which corresponds to d.
B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.
C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.
D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.
24 x 1/6 please help I have no clue I need it asap
Answer:
4
Step-by-step explanation:
24 × 1 = 24 = 4
6. 6
i am pretty sure that's it
Answer:
its 4
Step-by-step explanation:
You can think of 24 as 24/1 so
24 X 1/6
and to multiply two fractions you multiply the numerators and denominators so
24 * 1/6
Now you can divide 6 into 24 and get 4.
The quotient of k and 9 is no more than 1/3
Answer:
If this is true or false, I think true. Hope I helped! If not, please make sure to correct me.
Step-by-step explanation:
Simplify
8m + 4n +7m - 2n
A. 15m + 2n
B. m + 2n
C. 15m + 6n
D. 17mn
Answer:
Step-by-step explanation:
Here you go mate
Step 1
8m+4n+7m-2n Equation/Question
Step 2
8m+4n+7m-2n Simplify
8m+4n+7m-2n
Step 3
8m+4n+7m-2n Combine terms
(8m+7m)+(4n+-2n)
Step 4
(8m+7m)+(4n+-2n) Add them
answer
15m+2n
Hope this helps
show work please thanks
Answer:
(6,15)
Step-by-step explanation:
(x,y)
x value is 6(x goes by one)
y value is 15
Rectangle: 1 side 82 inches. Area of rectangle is 6.068 what is the other side measurement
Answer:
[tex]Side_2 = 74\ in[/tex]
Step-by-step explanation:
Given
[tex]Side_1= 82\ in[/tex]
[tex]Area = 6068\ in^2[/tex]
Required
Determine the length of the other side
For a rectangle:
[tex]Area = Side_1 * Side_2[/tex]
This gives:
[tex]6068\ in^2 = 82\ in * Side_2[/tex]
Divide both sides by 82in
[tex]\frac{6068\ in^2}{82\ in} = \frac{82\ in}{82\ in} * Side_2[/tex]
[tex]\frac{6068\ in^2}{82\ in} = Side_2[/tex]
[tex]Side_2 = \frac{6068\ in^2}{82\ in}[/tex]
[tex]Side_2 = 74\ in[/tex]
Hence, the length of the other side is 74 inches
Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial.
The question is incomplete. Here is teh complete question.
Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomail or trinomial.
1. [tex]7ab+6b^{2}-2a^{3}[/tex]
2. [tex]2y-5+3y^{2}[/tex]
3. [tex]3x^{2}[/tex]
4. [tex]\frac{4m}{3p}[/tex]
5. [tex]5m^{2}p^{3}+6[/tex]
6. [tex]5q^{-4}+6q[/tex]
Answer and Step-by-step explanation: The definition of polynomial is "poly" meaning many and Nominal, which means terms. So, Polynomial is an expression of constants, variables, exponents that are combined using mathematical operators: addition, subtraction, multiplication and division.
However, there are exceptions:
Polynomial don't have negative exponent;Polynomial cannot be divided by a variable;Variable cannot be inside a radical;The degree of a polynomial is the highest exponent of that variable. For example for polynomial [tex]3x^5+6x-5x^{2}[/tex] , the degree is 5.
Polynomials have 3 different types:
monomial: only has one term;binomial: has 2 terms;trinomial: has 3 terms;Now, analysing each expression given by the alternatives above:
1. It is a polynomial of degree 3 and trinomial.
2. It is a polynomial of degree 2 and trinomial.
3. Yes, its a polynomial of degree 2 and monomial.
4. It is not a polynomial because it is divided by a variable.
5. A polynomial of degree 5 and it's a binomial.
6. It is not a polynomial due to the exponent being negative.
Answer:
The question is incomplete. Here is the complete question.
Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial or trinomial.
1.
2.
3.
4.
5.
6.
Answer and Step-by-step explanation: The definition of a polynomial is "poly" meaning many and Nominal, which means terms. So, Polynomial is an expression of constants, variables, exponents that are combined using mathematical operators: addition, subtraction, multiplication, and division.
However, there are exceptions:
Polynomial don't have negative exponent;
Polynomial cannot be divided by a variable;
Variable cannot be inside a radical;
The degree of a polynomial is the highest exponent of that variable. For example for polynomial, the degree is 5.
Polynomials have 3 different types:
monomial: only has one term;
binomial: has 2 terms;
trinomial: has 3 terms;
Now, analyzing each expression given by the alternatives above:
1. It is a polynomial of degree 3 and trinomial.
2. It is a polynomial of degree 2 and trinomial.
3. Yes, it's a polynomial of degree 2 and monomial.
4. It is not a polynomial because it is divided by a variable.
5. A polynomial of degree 5 and it's a binomial.
6. It is not a polynomial due to the exponent being negative.
Someone help asap Ill give brainlest!
Answer:
y = -3x -2
Step-by-step explanation:
-2 is the y intercept
12-10 divided by 10+17=
Find the greatest possible error for the measurement.
3.5 cm
A.
0.05 cm
B.
0.25 cm
C.
1.75 cm
Answer:
A. 0.05 cm
Step-by-step explanation:
See your answer below:
You entered the following number: 3.5 cm
The greatest possible error is 0.05 cm
Greatest Possible Error Calculator
~ W ~ h ~ i ~ c ~ h ~ s ~ t ~ a ~ t ~ e ~ m ~ e ~ n ~ t ~ m ~ u ~ s ~ t ~ b ~ e ~ c ~ o ~ r ~ r ~ e ~ c ~ t ~ ? ~
~ W~h~i~c~h~s~t~a~t~e~m~e~n~t~m~u~s~t~b~e~c~o~r~r~e~c~t~?~
~ Which~statement~must~be~correct?~
~ Which ~ statement ~ must ~ be ~ correct? ~
~Which ~ statement ~ must ~ be ~ correct?~
~Which statement must be correct?~
Which statement must be correct?
Answer:
Im lost on this one
Step-by-step explanation:
-5x + 8y = 14
12x - 13y = -15
Answer:
you
Step-by-step explanation:
ty for th and you can
Simplify this expresion.
(6x^5/2x^2)^2
Answer:
9x^14
Step-by-step explanation:
PEMDAS
do whats in the parenthesis then do the ^2
Answer:
9x^6
Step-by-step explanation:
1. Cancel the common factor of 6 and 2.
---> (3x^5 / ^2)^2
2. Cancel the common factor of x^5 and x^2.
---> (3x^3)^2
3. Simplify the expression.
---> 9x^6
Help please!! What is the distance between these points? (-7, 6) and (3, 6)
Y'all get 12 points if you help! :)
Answer:
10
Step-by-step explanation:
sqrt root (x2-x1)^2 + (y2-y1)^2
Find the area of the shape shown below.
Answer:
18.75
Step-by-step explanation:
The formula to find the area of a triangle is
A= [tex]\frac{1}{2}[/tex]*b*h
The formula to find the area of a rectangle is simply the length times the base.
Here, you can separate the shapes, two triangle and one rectangle to make it easier to find. Subtract 7.5 and 2.5 to get 5, which will be the base measurements for the triangles.
Next, find the area for the triangles: [tex]\frac{1}{2}[/tex] x 5 x 2.5= 6.25, however, you have two triangles, so multiply by two to get 12.5.
Now, find the area of the rectangle, 2.5 +2.5= 6.25
Lastly, add the measurements together, 12.5 +6.25= 18.75
Evaluate the expression below when x = 24 and y = 6.
sy
Cards numbered 500 through 799 are placed into a box. How many of the cards satisfy both of the conditions shown below?
. The first digit of the three-digit number on the card is odd.
• The three-digit number on the card is divisible by 6.
A
50
33
25
12
Answer:
33
Step-by-step explanation:
An elementary school bus comes at 8:15 am every morning to pick up children in a neighborhood. The probability that the bus will be late is 0.19 and the probability that the bus will be early is 0.02.
What is the probability that the bus will arrive early next two days?
What is the probability that the bus will arrive on time next two days?
In two or more complete sentences, explain your calculations for parts A and B. In your explanation, include their similarities and differences.
Answer:
a. .02 * .02 = .0004
b. (1 - .02 - .19) = .79; .79*.79 = .6241
Step-by-step explanation:
The probability that the bus will arrive on time next two days is 0.79, The probability that the bus will arrive early next two days is 0.0004.
What is Probability?Probability is the likeliness of an event to happen, it has a range from 0 to 1.
Probability that the bus will be late is 0.19
Probability that the bus will be early is 0.02.
The probability that the bus will arrive early next two days is
= 0.02 * 0.02
=0.0004
The probability of coming early one day is small and the probability that it will come early two days in a row is smaller.
The probability that the bus will arrive on time next two days
= (1 - 0.02 -0.19) = 0.79
The probability that the bus will come on time is more as the probability of coming early or late is less.
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help plz will give brainliest
also it either A or D and show your work if u can
Hey... The answer is A
What is the value of the rational expression below when xis equal to 4?
X + 20
X +4
A. 5
O B. 6
O c. 3
O D. 4
The value of the rational expression when x is equal to 4 is 3.
Option C is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To find the value of the rational expression (x + 20)/(x + 4) when x is equal to 4,
We substitute 4 for x in the expression:
(4 + 20)/(4 + 4)
= 24/8
= 3
Therefore,
The value of the rational expression when x is equal to 4 is 3.
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The side lengths of a triangle are 7, 24, and 25. Is this triangle a right triangle?
A) yes
b) no
c) not enough information
Answer:
yes
Step-by-step explanation:
for it to be a right triangle you should be able to add two of the sides and it be greater than the third side. 7 + 24 > 25
24 + 25 > 7
7 + 25 > 24 therefore it is indeed a right triangle
The table shows which
School subjects are favored by a group of students.
predict the number of students out of 400 that
vould pick science as their favorite subject
pls help
Naomi surveyed eighth-grade students at her school to find out which school activities they attended last week. The
results are shown in the two-way frequency table.
Answer: Lol whats the two way table look like
Step-by-step explanation:
PLEASE HELP ASAP!!!!!! WILL MARK BRAINLIEST!!!! HELP!!!!
Answer:
obtuse
784
greater than
730
Step-by-step explanation:
which expression is equivalent to,
2/3x+(-4)(-5)=5x?
A.1-X-91
B. 3x-1
C.1X-93x
D. X + 9
From which store should Dylan make his purchase if he wants to get the best price per unit?
Answer:
Store 1
Step-by-step explanation:
Given
See attachment
Required
Determine the store with the best price per unit
It should be noted that the store with the best has the least price per unit.
So, we have:
Store 1
[tex]Quantity = 10\ ft[/tex]
[tex]Price = \$2.50[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$2.50}{10\ ft}[/tex]
Rate = $0.250 per feet
Store 2
[tex]Quantity = 2\ yd[/tex]
[tex]Price = \$1.85[/tex]
Convert quantity to feet
[tex]Quantity = 2 * 3ft = 6ft[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$1.85}{6\ ft}[/tex]
Rate = $0.308 per feet
Store 3
[tex]Quantity = 12\ ft[/tex]
[tex]Price = \$3.40[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$3.40}{12\ ft}[/tex]
Rate = $0.283 per feet
Store 4
[tex]Quantity = 5\ yd[/tex]
[tex]Price = \$4.00[/tex]
Convert quantity to feet
[tex]Quantity = 5 * 3ft = 15ft[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$4.00}{15\ ft}[/tex]
Rate = $0.267 per feet
From the calculations above; store 1 has the least unit rate.
Hence, store 1 has the best price per unit
plllllllllzzzzzzzzzzzzzzzzz helpppp meeeeeeeeeeeeeeeeeee
Step-by-step explanation:
radius(CE)=diameter/2=9
EF=8inch
DE=8/2=4inch
pythagorean theorem:
im right triangle,
a^2+b^2=c^2
4^2+b^2=9^2
16+b^2=81
b^2=81-16
b^2=65
b=√65
√65≈8.06
Please awnsers by 3:00
Answer:
$486
Step-by-step explanation:
8% of 450 = 36
450+36 = $486
Answer:
Step-by-step explanation:
Kendall bought a vase that costs 450
he paid 8% tax
tax=450*(8/100)=36
total cost=450+36=486