Answer:
4[tex]\sqrt{2}[/tex] cm
Step-by-step explanation:
The diagonal divides the square into 2 right angles with legs s and the diagonal as the hypotenuse.
Using Pythagoras' identity in the right triangle , then
s² + s² = 8²
2s² = 64 ( divide both sides by 2 )
s² = 32 ( take the square root of both sides )
s = [tex]\sqrt{32}[/tex] = 4[tex]\sqrt{2}[/tex]
Answer:
Given :
↠ The diagonal of a square is 8 cm.To Find :
↠ The length of the side of square.Using Formula :
Here is the formula to find the side of square if diagonal is given :
[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]
Where :
➺ a = side of square ➺ d = diagonal of squareSolution :
Substituting the given value in the required formula :
[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]
Hence, the length of the side of square is 5.6 cm.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
help asap will give 10 points
Answer:
FALSE
Step-by-step explanation:
The properties of exponents tells us that
[tex]9^9\ \ *\,\,9^{-20}\,=\,9^{9-20}\,=9^{-11}[/tex]
Answer:
False
Step-by-step explanation:
[tex](9 {}^{9} ) \times (9 {}^{ - 20}) = 9 {}^{9 + ( - 20)} = 9 {}^{9 - 20} = 9 {}^{ - 11} [/tex]
Hope this helps ;) ❤❤❤
what is y ? x=1 y=? y=3x-7
Answer:
-4.
Step-by-step explanation:
y = 3x - 7; x = 1.
y = 3(1) - 7
= 3 - 7
= -4
Hope this helps!
Answer:
y = - 4
Step-by-step explanation:
y=3x-7
Let x =1
y = 3*1 -7
y = 3-7
y = - 4
Please answer ASAP. The question is down below
Answer: 1) D 2) B
Step-by-step explanation:
1) The denominator cannot equal zero, Factor the denominator to find the zeros. n³ - 4n² + 3n = 0
n(n - 3)(n - 1) = 0
n=0 n-3=0 n-1=0
n=0 n=3 n=1
2) In order to be a rational expression, it must be in the form [tex]\dfrac{a}{b}[/tex] where both a and b are integers.
Since [tex]\sqrtb[/tex][tex]\sqrt b[/tex] is irrational and not an integer, then the expressions containing an irrational term after simplified cannot result in an integer.
Therefore, options (i) and (iv) are not rational expressions.
Option (iii) contains b as an exponent. Since there is no information about b, it could be a fraction, which means it could be an irrational number.
what is the value of digit 9 in 3.45×0.27×0.3 ?
Answer:
[tex]\boxed{\pink{0.27945}}[/tex]
Step-by-step explanation:
[tex]3.45 \times 0.27 \\ = 0.9315 \times 0.3 \\ = 0.27945[/tex]
Answer: thousandths place
Step-by-step explanation:
↓
3.45 x 0.27 x 0.3 = 0.27945
The place values to the right of the decimal point are:
one to the right (2): tenths
two to the right (7): hundredths
three to the right (9): thousandths
four to the right (4): ten thousandths
five to the right (5): hundred thousandths
solve the equation
x/3+y/4=4
Answer: [tex]y=-\dfrac{4}{3}x+16[/tex]
Step-by-step explanation:
[tex]\dfrac{x}{3}+\dfrac{y}{4}=4\\\\\\\text{Multiply everything by 12 to eliminate the denominator:}\\\dfrac{x}{3}(12)+\dfrac{y}{4}(12)=4(12)\\\\4x+3y=48\\\\\\\text{Subtract both sides by 4x:}\\3y=-4x+48\\\\\\\text{Divide everything by 3:}\\y=-\dfrac{4}{3}x+16[/tex]
In Isosceles trapezoid ABCD, the longer base, AB, is one and one half times as long as the shorter base, CD. The other two sides, AD and BC, are both 13 cm. long. a. If the perimeter is 76 cm. find the lengths of AB and CD. b. If the height of the trapezoid is 12 cm. find its area. (Hint: Area
otal perimeter = 76cm = AB + BC + CD + AD
AD & BC = 13cm
AB = 1.5*(CD)
Solution:
Since we know AD & BC are both 13cm long, plug those numbers into the perimeter equation
76cm+=+AB+%2B+BC+%2B+CD+%2B+AD Place 13cm in for AD & BC
76cm+=+AB+%2B+13cm+%2B+CD+%2B+13cm Combine like terms
76cm+=+AB+%2B+CD+%2B+26cmSubtract 26cm from both sides
50cm+=+AB+%2B+CD Now it is time to substitute the 1.5*(CD) for AB
50cm+=+1.5%2A%28CD%29+%2B+CD rewrite the equation
50cm+=+2.5%2A%28CD%29 Divide both sides by 2.5
20cm+=+CD
To find AB, plug 20cm in for CD in the equation AB = 1.5*(CD)
AB+=+1.5%2A20cm
AB+=+30cm
Based on the dots below, which of the following is a true statement
Answer:
Is there supposed to be some "dots" or something
If a number is divided by 3 or 5, the remainder is 1. If it is divided by 7, there is no remainder. What number between 1 and 100 satisfies the above conditions?
Answer:
91
Step-by-step explanation:
Look at multiples of 7 and you’ll find 91.
91 dived by 3 is 30 with a remainder of 1.
91 divided by 5 is 18 with a remainder of 1.
91 divid by 7 is 13 with no remainder.
91 is the number between 1 and 100 satisfies the above conditions
What is Number system?A number system is defined as a system of writing to express numbers.
Given that a number is divided by 3 or 5, the remainder is 1.
If it is divided by 7, there is no remainder
We need to find the number between 1 and 100 which satisfies the given conditions.
Let us consider 91.
When 91 is divided by 3 we get 30 and 1 as remainder.
91 divided by 5 is 18 with a remainder of 1.
91 divided by 7 is 13 it does not have any remainder or remainder is zero.
Hence, 91 is the number between 1 and 100 satisfies the above conditions
To learn more on Number system click:
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Simplify 27^(-2/3) x 25^(1/2) x 5^0 9 5 9/5 5/9
Answer:
[tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Using the rules of exponents/ radicals
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex] , [tex]a^{0}[/tex] = 1
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Given
[tex]27^{-\frac{2}{3} }[/tex] × [tex]25^{\frac{1}{2} }[/tex] × [tex]5^{0}[/tex]
= [tex]\frac{1}{27^{\frac{2}{3} } }[/tex] × [tex]\sqrt{25}[/tex] × 1
= [tex]\frac{1}{9}[/tex] × 5 × 1
=[tex]\frac{5}{9}[/tex]
reduce to simplest form -7/12+3/8 =_____
Answer:
-5/24
Step-by-step explanation:
make the denominators the same!
can you solve;
3/7+5/21
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\frac{3}{7}+\frac{5}{21}[/tex]
[tex]= \frac{3}{7}+\frac{5}{21}[/tex]
[tex]= \frac{9}{21}+\frac{5}{21}[/tex]
[tex]= \frac{9 + 5}{21}[/tex]
[tex]= \frac{14}{21}[/tex]
[tex]= \frac{2}{3}[/tex] (Decimal: 0.666667)
Answer : [tex]\boxed{\frac{2}{3} }[/tex] (Decimal: 0.666667)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
A movie theater sells only two types of tickets: adult tickets for $20 each and student tickets for $12 each. One weekend, the theater sold 2,000 tickets for a total of $35,072. How many more adult tickets than student tickets were sold that weekend?
A) 768 B) 770 C) 772 D) 774
Answer:
adults tickets=1384
kids:616 tickets
1384-616= 768 tickets
Step-by-step explanation:
let x be adult tickets and y kids
x+y=2000 ⇒x=2000-y
20x+12y=35072 solve by substitute for x=2000-y
20(2000-y)+12y=35072
40000-20y+12y=35072
-8y=35072-40000
-8y=-4928
y=-4928/-8
y=616
x=2000-616
x=1384 tickets
check:
20(1384)+12(616)=35072 ( correct)
Plz help ASAP assignment due today !!!
Write the Properties of at least 5 different types of polygons of your choice and the properties of a circle.
Square - a rectangle (4 sided shape) whose sides are equal length
Rectangle - a polygon that has 4 sides and 4 right angles - two pairs of parallel lines
Triangle: a polygon with 3 sides and 3 angles. The angles add up to a total of 180 degrees. There are 3 kinds of triangles
Parallelogram - a polygon with 4 sides, 2 pair of parallel lines, 2 obtuse angles and 2 acute angles.
Trapezoid - a polygon with 4 sides and only 1 pair of parallel lines
Circle: a shape with no sides, angles, or parallel lines. Any point in the circumference to the center of the circle is the same length.
Happy to help!
Answer:
1). Triangle - Has 3 equal sides and angles of 60°.
2). Square - A quadrilateral with 4 equal sides and angles (all the angles are right angles).
3). Rectangle - A quadrilateral with 2 equal parallel sides horizontal and vertical. All the angles are equal because they are right angles.
4). Pentagon - It has 5 equal sides with equal angles of 108°.
5). Hexagon - It has 6 equal sides with equal angles of 120°.
PROPERTIES OF A CIRCLE:
It has no sides with no angles. The radius in any direction from the point are of the same length.
which graph represents (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis-pairs that make the equation y = 0.5x+5y=0.5x+5y, equals, 0, point, 5, x, plus, 5 true?
The graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5
The equation is given as:
[tex]\mathbf{y = 0.5x + 5}[/tex]
A linear equation is represented as:
[tex]\mathbf{y = mx + c}[/tex]
Where m represents the slope, and c represents the y-intercept
So, by comparison:
m = 0.5
c = 5
This means that:
The slope is 0.5, and the y-intercept is 5
Hence, the graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5
See attachment for the graph of [tex]\mathbf{y = 0.5x + 5}[/tex]
Read more about linear equations at:
https://brainly.com/question/11897796
3rd one i just did it on edge :P
Shawn wanted to model the number 13,450 using 13,450 using base-ten blocks how many large cubes, flats, and longs does he need to model the number
Answer:
See attached
Step-by-step explanation:
13450 = 13000 + 400 + 50
13*1000 = 13 large cubes4*100 = 4 flats5*10 = 5 longsI really need help Please help me please
What are the vertical and horizontal asymptotes for the function f(x)=
3x2/x2-4
Answer: f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.
Step-by-step explanation:
Given function: [tex]f(x)=\dfrac{3x^2}{x^2-4}[/tex]
The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.
i.e. [tex]x^2-4=0\Rightarrow\ x^2=4\Rightarrow\ x=\pm2[/tex]
Hence, f(x) will have vertical asymptotes at x=-2 and x=2.
To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.
So, the graph will horizontal asymptote at [tex]y=\dfrac{\text{Coefficient of }x^2\text{ in numerator}}{\text{Coefficient of }x^2\text{ in denominator}}[/tex]
i.e. [tex]y=\dfrac{3}{1}=3[/tex]
Hence, f(x) will have horizontal asymptote at y=3.
Jerry wants to gravel an area represented by a square with side lengths of 3/4ft. What is the area he needs to fill.
Answer:
0.5625 ft^2
Step-by-step explanation:
area of square = side * side
A = s^2
A = (0.75 ft)^2 = (0.75 ft)(0.75 ft) = 0.5625 ft^2
what is the value of x to the nearest tenth
Answer:
14.1
Step-by-step explanation:
Use tan to help:
x/7 = tan (64°)x = 7*tan (64°) x = 7*2.05x = 14.1During his 2001 MVP season for the Seattle Mariners, Ichiro Suzuki batted 0.350, meaning that his probability of getting a hit in any bat was 0.350.
In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1
Answer:
In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1
Step-by-step explanation:
Answer: 0.457
Step-by-step explanation:
i need help with this question please :(
Answer:
C
Step-by-step explanation:
[tex](2^7 \cdot 3^{-5}\cdot 9)^4[/tex]
Use the Power of a Product Property, where:
[tex](ab)^n=a^nb^n[/tex]
Therefore:
[tex](2^7 \cdot 3^{-5}\cdot 9)^4\\=(2^7)^4\cdot(3^{-5})^4\cdot(9)^4\\=2^{28}\cdot3^{-20}\cdot9^4[/tex]
which whole number has a factor that is the greatest prime factor between 1 and 30?
А. 1,593
B. 1,247
C. 1,311
D. 943
Answer:
B
Step-by-step explanation:
The greatest prime factor between 1 and 30 is 29. Remember that a prime number is a number whose only 2 factors is 1 and the number itself. To find out which number is a multiple of 29, all we have to do is divide it by 29, and if the quotient is a whole number then we have found our answer.
A: 1593 / 29 ≈ 54.93
B: 1247 / 29 = 43
We don't need to check C and D because we know that B is the answer.
1247 has the greatest prime factor between 1 and 30
The factor of a number that divides another number perfectly without leaving any remainder.
For example, the factors of 12 are 1,2,3,4,6 and 12
A prime factor is a number that a prime number
A prime number is a number that can be divided only by 1 and that number
Prime numbers between 1 and 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29
The greatest prime factor between 1 and 30 is 29
To determine which number has the greatest prime factor, divide each of the numbers in the options by 29.
1593 / 29 = 54.9 (29 is not a prime factor of 1593)
1247/29 = 43 (29 is a prime factor of 1247)
1311 / 29 = 45.2 (29 is not a prime factor of 1311)
943 / 29 = 32.5 (29 is not a prime factor of 943)
To learn more about prime factors, please check: https://brainly.com/question/10371102?referrer=searchResults
Could you guys please help with this question :) At a teacher's college, 70% of students are female. On average 75% of females and 85% of males students graduate. A student who graduates is selected at random, find the probability that the student is male.
Answer:
Step-by-step explanation:
70% of students are female
70/100* 75%= you get your answer
then subtract the percentage of the males and the females and then you get your answer
Write this expression as a complex number in standard form
Answer:
[tex]81+144i[/tex]
Step-by-step explanation:
We want to simplify:
[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i[/tex]
Recall that:
[tex]\displaystyle \sqrt{-a} = i\sqrt{a}[/tex]
Therefore:
[tex]\displaystyle \begin{aligned} (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i & = (-3i\sqrt{81})(-5+i\sqrt{9})+9i \\ \\ &= -(3i(9))(-5+i(3))+9i \\ \\ & = -27i(-5+3i)+9i \\ \\ & = 135i -81i^2 + 9i \\ \\ & = 144i - 81i^2 \\ \\ & = 81+144i\end{aligned}[/tex]
Note that i² = -1.
In conclusion:
[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9})+9i = 81 + 144i[/tex]
This rectangle has side lengths r and s.
For each expression, say whether it gives the perimeter of the rectangle, the area of the
rectangle, or neither.
1. rts
2. r.s
3. 2r + 2s
4.72 +82
Answer:
1.) Neither
2.) Area
3.) Perimeter
4.) Neither
Step-by-step explanation:
Given that the lengths of the rectangle are r and s
The perimeter of the rectangle will be:
Perimeter = 2r + 2s
Perimeter = 2(r+s)
While the area will be:
Area = r × s
Area = rs
For each expression, say whether it gives the perimeter of the rectangle, the area of the
rectangle, or neither.
1. rts = neither
2. r.s = Area of rectangle
3. 2r + 2s = Perimeter of rectangle
4.72 +82 = neither.
What effect will replacing x with (x – 7)have on the graph of the equation y = = (x + 4)??
A. slides the graph 3 units down
B. slides the graph 3 units up
C. slides the graph 7 units right
D. slides the graph 3 units right
Answer:
D
Step-by-step explanation:
When you graph the first equation y = (x + 4) it will have a x-intercept of -4 and a y-intercept of 4.
When you replace x with (x-7) the equation will be converted into
y = ((x-7)+4)
y = x-3
When you graph this you see it has a x-intercept of 3 and a y-intercept of -3
To find the distance add the 2 x values together:
-4 + (-3) = ?
-4 -3 = ?
-7 = ?
Therefore the graph will shift units right
Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?
One-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables
One-fourth (2 + v) = 3; v = 4 pounds of chopped vegetables
4 (2 + v) = 3; v = 1 pound of chopped vegetables
4 (2 + v) = 3; v = 5 pounds of chopped vegetables
Answer:
First choice: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables
Step-by-step explanation:
"2 pounds of meat with some chopped vegetables"
2 + v
"She divides the mixture into 4 equal portions."
(1/4)(2 + v)
"Each portion weighs 3 pounds."
(1/4)(2 + v) = 3
2 + v = 12
v = 10
Answer: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables
Answer:
(2+v)=3 v=10
Step-by-step explanation:
Help please will give brainiest if correct
Answer:
(x + 1)^2 + (y - 1)^2 = (8.5)^2
Step-by-step explanation:
Consider the general equation of a circle:
(x - h)^2 + (y - k)^2 = (r)^2
Where (h,k) represent the center point of the circle, and r represents the radius of the circle.
For this circle, our center point appears to be at (-1,1) and the circle has a radius of 8.5.
Using this information, we simply plug these values into the general equation to get the following:
(x + 1)^2 + (y - 1)^2 = (8.5)^2
Cheers.
Match the graph with the correct equation.
Answer:
work shown and pictured
The graph below shows the survey results for a group of students who were asked how many honors classes they have taken and how many elective classes: How many elective classes would a student likely have taken if he or she has taken 12 honors classes? 15, because y = one halfx + 9 12, because y = y = negative one halfx + 9 6, because y = one halfx + 9 3, because y = negative one halfx + 9
Answer:
3, because [tex]y=-\frac{1}{2}x+9[/tex].
Step-by-step explanation:
Looking at this graph, we can start to determine the equation for it.
The y-intercept of this graph is 9, therefore there will be a constant of 9.
We can find the slope by looking at rise over run. It vertically travels -1 for every 2 horizontally. So the slope is [tex]-\frac{1}{2}[/tex].
Making this into an equation gets us [tex]y=-\frac{1}{2}x+9[/tex].
Now we can substitute 12 into this equation as x.
[tex]y=-\frac{1}{2}(12)+9\\ y=-6+9\\y=3[/tex]
Hope this helped!
Answer:
the other person is correct! C:
Step-by-step explanation:
