Answer: 1,024/25 or 40.96
Step-by-step explanation:
The length of one side of a square is 32/5, and all sides of a square have the same length, then all sides of the square have 32/5 as the length.
In order to get the area of the square, you need to multiply one side by another.
32/5 * 32/5 = 1,024/5 (fraction form)
32/5 = 6.4
6.4 * 6.4 = 40.96 (decimal form)
If two triangles have three corresponding angles and three corresponding sides that are equal in measure, are two triangles necessarily congruent ? Why?
Answer:
the two triangles are congruent because they have the same sides and angles.
Answer:
Yes, they are congruent. Because the sides and the angles are the same.
Step-by-step explanation:
Solve for x in the diagram below.
8x
50°
X =
Answer:
x=5
Step-by-step explanation:
The 2 angles are inside of a right angle (the little square in the corner denotes a right angle). This means they are complementary angles, and add to 90 degrees.
8x+50=90
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
50 is being added to 8x. The opposite of addition is subtraction. Subtract 50 from both sides.
8x+50-50=90-50
8x=90-50
8x=40
x is being multiplied by 8. The opposite of multiplication is division. Divide both sides by 8.
8x/8=40/8
x=5
x is equal to 5.
What is the product? 3x^5(2x^2+4+1)
Answer:
[tex]6x^{7} +15x^{5}[/tex]
Step-by-step explanation:
[tex]3x^{5}[/tex]([tex]2x^{2} +4+1[/tex])
Multiply [tex]3x^{5}[/tex] by each term in the parentheses.
[tex]6x^{7}[/tex] + [tex]12x^{5} +3x^{5}[/tex]
Now, all you have to do is simplify.
[tex]6x^{7} +15x^{5}[/tex]
The measures of is c.
Answer:
10
Step-by-step explanation:
By the Pythagorean Theorem:
[tex]c=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]
Hope this helps!
Please help with these questions :(
In the Pythagorean theorem, a squared minim b squared equals c squared. If you apply that formule to question 2.
17^2-8^2 = 289 - 64 = 225 = 15^2.
Therefore, the answer to first question is yes
Then, for question 2, you do the same thing.
41^2 - 40^2 = 51
Here, 51 is not a square number. Most importantly it is not the square of9,
So this triangle is not right angled
Mrs.Clarke is the PE teacher is pairing of students to race against each other. Tyler can run 7 meters per second and bridget can run 8 meters per second Mrs.Clarke decides to give tyler a head start of 4 meters since he runs more slowly. Once the students start running bridget will quickly catch up to tyler how long will that take? How far will bridget have to run?
Answer:
It will take 4 seconds. She will have to run 32 meters
Step-by-step explanation:
The formula to calculate the distance in terms of speed and time is:
distance = speed x time
Let x represent the distance Bridget run. Since Tylor starts 4 meters ahead, the distance for the Tylor is x-4. The time is same for both of them, let us represent it with t.
The distance by Bridget: x = 8t → t = x/8
The distance by Tylor: x - 4 = 7t → t = (x-4)/7
→ x/8 = (x-4)/7
→ 7x = 8(x-4)
→ 7x = 8x - 32
→ x = 32
Since x = 32 and t = x/8
→ t = 32/8 = 4
a(n) _________ of a triangle is a line or segment that passes through a vertex and bisects the opposite that vertex 7 7
Answer: Altitude
Step-by-step explanation:
You deposit $1000 in an account that pays 4 1/2% annual interest compounded monthly. How much will you have in the bank after 9 years
Answer:
1498.17
Step-by-step explanation:
formula A = P[tex](1 + \frac{r}{100} )^{n}[/tex] where r is the rate of interest compounded and n is the number of times compounded.
r = 4.5 / 12 = 0.375 since it is compounded monthly thus need to divide by 12 months
n = 9 x 12 = 108 ( 9 years in months)
A = 1000[tex](1 + \frac{0.375}{100})^{108}[/tex] = 1498.167
Answer:
Step-by-step explanation:
A = I(1+r/n)^nt
A = ?
I = $1000
r = 4.5% = 4.5/100 = 0.045
n = 12
t = 9
A = 1000(1+0.045/12)^108
A = 1000(1.00375)^108
A = $1498.17
Which graph represents a function? answerr FASTTTT PLZZZ
Answer:
graph 1 is the function.
How many angles does a nonagon have?
Answer:
9
Step-by-step explanation:
There are nine angles in a nonagon.
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Answer:
180 meters
Step-by-step explanation:
The function you have here is negative function meaning the function has a concave down parabola (if you graph it on desmos or a graphing calculator you'll see what I'm talking about).
So they gave it to you in factored form and asked you to find the max. The max of this function is at the vertex of the parabola. In order to find the vertex you have distribute or multiply to get the original polynomial.
-5(x-8)(x+4)
-5(x^2+4x-8x-32)
-5(x^2-4x-32)
-5x^2-20x-160
Vertex formula is: -b/2a
b = 20
a = -5
[tex]\frac{-20}{2(-5)}[/tex]
= 2
The x-coordinate of the vertex is 2.
Plug 2 into the equation
-5(2)^2+20(2)+160
= 180 meters
Aiden is putting a carpet on the floor of his bedroom. The carpet is 6 feet long and 7 feet wide. What is the total area of Aiden's carpet?
6 × 7 = 42 because area = length × width
Please help with this
Answer:
D
Step-by-step explanation:
By the Pythagorean theorem:
[tex]18^2+24^2=x^2[/tex]
Therefore, answer choice D is correct. Hope this helps!
state what additional information is required in order to know that the triangles are congruent by SSS
Answer: d) DF ≅ JH
Step-by-step explanation:
Side-Side-Side Congruency Theorem states that triangles are congruent if and only if their corresponding side lengths are congruent.
Given: EF ≅HI
Given: DE ≅IJ
Missing: DF ≅ JH
There is more than one integer, greater than 1 , which leaves a remainder of 1 when divided by each of the four smallest primes. What is the difference between the two smallest such integers?
Answer:
210.
Step-by-step explanation:
The first 4 primes are 2,3,5 and 7.
If we multiply them we get 2*3*5*7 = 210.
So 210 + 1 = 211 is one integer which gives 1 as a remainder.
The next one would be 2*210 + 1 = 421.
The difference is 210.
Determine the x-intercepts of the following equation.
(-x + 5)(-x - 2) = y
(-10,0
(5,0) and (-2,0)
(0,10)
(0, -10)
(5,0) and (2,0)
O(0,5) and (0, -2)
Answer:
(5,0) and (-2,0)
Step-by-step explanation:
In order to find the x intercept, the y value has to be zero, this automatically eliminates several of the options. What you can do is plug in 0 for y and see what the answer is. If you get stuck, you can also guess and check.
What is the perpendicular and parallel line of 8x + 5y=4
Answer:
Perpendicular: [tex]y = \frac{5}{8}x+4[/tex]
Parallel: [tex]y=-\frac{8}{5} x+RandomNumberNot4[/tex]
Step-by-step explanation:
I'm going to rewrite the equation:
[tex]y=-\frac{8}{5} x+\frac{4}{5}[/tex]
Perpendicular means that the slope is the opposite reciprocal.
Slope = [tex]\frac{5}{8}[/tex]
[tex]y = \frac{5}{8}x+4[/tex]
Parallel means that the slope is the same but the y - intercept is different:
[tex]y=-\frac{8}{5} x+RandomNumberNot4[/tex]
Can someone explain this to me
Answer:
35°
Step-by-step explanation:
ABC is a equilateral triangle and that means all of its
interior angles have the same measure and = 60°
since angle ACB is 60° the complementary of it would be 120° this is alsıo the measure of angle ACD
The measure of angle CAD is given as 25°
The measure of sum of interior angles in a triangle is equal to 180°
So the missing angle ADC is 35°
Find the degree of each polynomial.
Can u guys PLEASE answer this question ASAP.
which of the two points M(3,6) and N(6,-4) is closer to P(-2,-1)
Answer:
n
Step-by-step explanation:
Answer:
[tex]\fbox{\begin{minipage}{11em}N is closer to P than M\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define the way to calculate distance between 2 points in two-dimensional (2D) plane
Supposing that there are two points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] on 2D plane.
The distance [tex]d[/tex] between these two points is calculated by:
[tex]d = \sqrt{(x_{1} - x_{2}) ^{2} + (y_{1} - y_{2})^{2} }[/tex]
Step 2: Calculate the distance [tex]d_{1}[/tex] between [tex]M(3, 6)[/tex] & [tex]P(-2, -1)[/tex] and distance [tex]d_{2}[/tex] between [tex]N(6, -4)[/tex] and [tex]P(-2, -1)[/tex]
Applying the formula in step 1:
[tex]d_{1} = \sqrt{(3+ 2) ^{2} + (6 + 1)^{2} } = \sqrt{25 + 49} = \sqrt{74}[/tex]
[tex]d_{2} = \sqrt{(6+ 2) ^{2} + (-4 + 1)^{2} } = \sqrt{64 + 9} = \sqrt{73}[/tex]
Step 3: Compare and conclude
Because [tex]\sqrt{73} < \sqrt{74}[/tex] => [tex]d_{2} < d_{1}[/tex] => N is closer to P than M
Hope this helps!
:)
Simplify 14x+5[6-(2x+3)]
Answer:
4x + 15
Step-by-step explanation:
A = 14x + 5[6 - (2x + 3)]
= 14x + 5[6 - 2x - 3]
= 14x + 30 - 10x - 15
= (14x - 10x ) + (30 - 15)
= 4x + 15
Hope this helps!
we can describe 12×-8 as an expression . it can also be written as 4(3×-2) 4 and 3×-2 are both...of 12×-8
Answer:
factor
Step-by-step explanation:
Can someone please help me
Answer:
880
Step-by-step explanation:
600miles = 3168000feet
316800/3600=880
What is the simplified form of the expression?
(3x^2+5x-8)+(5x^2-13x-5)
= 3x^2 + 5x^2 = 8x^2
5x - 13x = -8x
-8 + -5 = -13
=> 8x^2 - 8x - 13
: B
Answer:
8x2 − 8x − 13
Step-by-step explanation:
(((3•(x2))+5x)-8)+((5x2-13x)-5)
((3x2 + 5x) - 8) + (5x2 - 13x - 5)
Factoring 8x2-8x-13
The first term is, 8x2 its coefficient is 8 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is -13
Step-1 : Multiply the coefficient of the first term by the constant 8 • -13 = -104
Step-2 : Find two factors of -104 whose sum equals the coefficient of the middle term, which is -8 .
-104 + 1 = -103
-52 + 2 = -50
-26 + 4 = -22
-13 + 8 = -5
-8 + 13 = 5
-4 + 26 = 22
-2 + 52 = 50
-1 + 104 = 103
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
8x2 - 8x - 13 ✅
Help will mark brainliest
Answer:
- 1 4/5
Step-by-step explanation:
-1 1/5 + - 3/5
Since the signs are the same, we add and take the sign
1 1/5 + 3/5
1 4/5
The sign is negative
- 1 4/5
On the number line start at - 1 1/5 and go to the left 3/5( since the sign is negative) you will end up at - 1 4/5
Help me please please
Answer:
1/2 = 2^-1 = 1/2
Step-by-step explanation:
The picture shows you that you find the number at 11:00 a.m. by dividing 1 by 2. That division is represented as ...
[tex]1\div2=\boxed{\dfrac{1}{2}}=\boxed{2^{-1}}=\boxed{1/2}[/tex]
__
Additional comment
It is somewhat difficult to tell exactly what "expanded form" is required for the fraction. We have taken a clue from the form used for positive exponents where the multiplication by 2 is shown. So, for negative exponents, we have shown the division by 2.
The 10 a.m. form might then be 1/4 = 2^-2 = 1/2/2.
Which of the following is the inverse of the statement, "If i listen to this song, then it will get stuck in my head"?
If it gets stuck in my head, then i listened to the song.
state what additional information is required in order to know that the triangles are congruent by AAS
Answer:
The last one
Step-by-step explanation:
Since we already know an angle and a safe are equal we just need one more pair of corresponding angles
Answer:
the fourth one.
Step-by-step explanation:
that is angle vut is greater than or equal to angle ktu or angle utv is greater than or equal to angle tuk.
Which is equivalent to One-fourth x? StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction x StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction StartFraction 1 over 8 EndFraction + StartFraction 1 over 8 EndFraction One-half x + one-half x
Answer:Its A
Step-by-step explanation:
Its A because its right believe me
equivalent to One-fourth x is One-half x + one-half x; equation 7 is correct
what is equivalent expression?Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same. The given equation is equivalent to the expression one half and one half x.
Given information;
The expression given in the problem is,
(1/4) x [tex]x[/tex]
Equivalent expression;
Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.
For given expression,
1/4 x [tex]x[/tex]
As the above function is the function of x. Thus it can be written as,
f(x)= 1/4 x [tex]x[/tex]
The number four is the product of number 2 and number 2. Thus,
f(x)=(1/2x2) x [tex]x[/tex]
f(x)=(1/2 x 1/2) x [tex]x[/tex]
Hence the given equation is equivalent to the expression one half and one half x.
Learn more about the equivalent expression here;
brainly.com/question/10628562
#SPJ6
Which bar diagram represents the equation 5x + 7.5 = 15?
5X
7.5
15
7.5
5X
15
15
5x
7.5
LO
7.5x
15
Mark this and return
Save and Exit
Next
Answer:
it would be C i took the test
Step-by-step explanation:
Answer:
The answer would be C because i just took the test and got it right hope this helps.
Step-by-step explanation: