Answer:
irrational
Step-by-step explanation:
Use the Pythagorean theorem.
5² + 6² = c²
25 + 36 = c²
c² = 61
7² = 49
6² = 64
61 is between 7² and 8², so it is not rational.
3. Find the surface area.
25 yd
10 yd
20 yd
15 yd
The surface area of the shape is 400 square yards
How to calculate the surface area of a shapeThe formula for calculating the surface area of the shape is given as:
Surface area = Area of square + area of triangle
Surface area = (15 * 20) + (0.5 * 10 * 20)
Surface area = 300 + 100
Surface area = 400 square yards
Hence the surface area of the shape is 400 square yards
Learn more on surface area of figure here:
https://brainly.com/question/16302190
Each student needs 3 3/4 feet of string for an art project. The art
teacher orders string by the yard. How many yards should he order for 67
students?
Answer:
83.75 yards
Step-by-step explanation:
3.75 x 67 = 251.25ft
251.25 / 3 = 83.75yards
On January 1, Trisha put $100 into a savings account that earns interest. That same day, Mark put some money into another savings account that also earns interest. After 5 years, Trisha’s account balance is 145% of her original balance, and Mark’s is 160% of his original balance. Mark and Trisha withdraw all of their money and use it to spend $225 at the amusement park. If together they have $40 left from their withdrawals after the amusement park, how much did Mark put into his savings account?
Trisha thinks that if Mark also put $100 into his account, then they would had more than $100 left after the amusement park. Is she correct or not? Explain.
Answer:
Mark deposited $75Trisha is not correctStep-by-step explanation:
The total of their account balances is equal to the total spent plus the remaining amount. The given relations tell us ...
Trisha withdrew $100 × 145% = $145Mark withdrew d × 160% = 1.6d . . . for some initial deposit d$145 + 1.6d = $225 +40 . . . . . withdrawals = spent + change__
a.Solving this equation, we can find Mark's withdrawal and his initial deposit.
145 +1.6d = 265
1.6d = 120 . . . . . . . the amount Mark withdrew
d = 120/1.6 = 75 . . . . the amount Mark deposited
Mark put $75 into his savings account.
__
b.Had Mark put $100 into his savings account, the total of withdrawals would have been ...
Trisha + Mark = $100 × 145% +$100 ×160% = $145 +160 = $305
After spending $225 of this amount, they would have had a leftover amount of ...
$305 -225 = $80
Trisha is not correct in her thinking that there would be more than $100 left over.
How do I graph n>8 on a number line.
Answer:
Math-Graphing Inequalities on a Number Line (the basics)
Step-by-step explanation:
graph the function
f(x)=-2/3 x+1
Answer:
At the bottom!
Step-by-step explanation:
I took the quiz! :)
Calculate the perimeter of the figure shown below.
5 ft
15 ft
10 ft
18 ft
Answer:
its c
Step-by-step explanation:
think about it for a second
help me pls
32a^8b^6 - 12a^5b^4 c^2 / 4a^3 b^3
[tex]❖\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's evaluate ~
[tex]\qquad \tt \dashrightarrow \: \dfrac{32 {a}^{8} {b}^{6} - 12 {a}^{5} b {}^{4} {c}^{2} }{4a {}^{3}b {}^{3} }[/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{ \cancel{4 {a}^{3} b {}^{3} }(8{a}^{5} {b}^{3} - 3{a}^{2} b {}^{} {c}^{2}) }{ \cancel{4a {}^{3}b {}^{3}} }[/tex]
[tex]\qquad \tt \dashrightarrow \: 8{a}^{5} {b}^{3} - 3{a}^{2} b {}^{} {c}^{2}[/tex]
Answer:
-_-
Step-by-step explanation:
[tex] \displaystyle{ \frac{32 {a}^{8} {b}^{6} - {12a}^{5} {b}^{4} {c}^{2} }{ {4a}^{3} {b}^{3} } }[/tex]
[tex] \displaystyle{ \frac{32 {a}^{8} {b}^{6} }{ {4a}^{3} {b}^{3} } - \frac{12 {a}^{5} {b}^{4} {c}^{2} }{4 {a}^{3} {b}^{3} } }[/tex]
[tex] \displaystyle{ 8 {a}^{5} {b}^{3} - 3 {a}^{2} {c}^{2} }[/tex]
Line A is perpendicular to Line B.
If the slope of Line A is 3
what is the slope of Line B?
Answer:
- 1/3
Step-by-step explanation:
m = slope of a line
Perpindicular slope = - 1/m
= - 1/3
Let slope of that line be m
We know product of slopes of two perpendicular line=-1
3m=-1m=-1/3a = 28, d = 10 Find the 30th term
Answer:
318
Step-by-step explanation:
Arithmetic sequence:
a = 28 ; d = 10 & n = 30
[tex]\boxed{a_{n}=a +(n-1)d}[/tex]
a₃₀ = 28 + (30 - 1)*10
= 28 + 29 *10
= 28 + 290
= 318
a/b x 8c
when a=2/3
b=1/2
c=3/4
Use the number line below to determine which of the following answer choices has statements that are all true.
Answer:
I agree with D
Step-by-step explanation:
just because
What is the measure of the radius, c, rounded to the nearest hundredth? use an appropriate trigonometric ratio to solve. 5.88 cm 8.09 cm 12.36 cm 17.01 cm
The measure of the radius, c, rounded to the nearest hundredthis 12.36cm
Trigonometry identityThe given figure is a pentagon. The measure of one of the interior angle is 108 degrees.
The triangle in the pentagon is right angle.
Measured acute ange = 108/2 = 54 degrees
Using the trig identity
sin 54 = 10/c
c =10/sin54
c = 10/0.8090
c = 12.36 cm
Hence the measure of the radius, c, rounded to the nearest hundredthis 12.36cm
Learn more on trigonometry identity here; https://brainly.com/question/7331447
Answer:
12.36
Step-by-step explanation:
A. 8/17
B. 15/17
C. 8/15
D. 15/8
Answer:
C
Step-by-step explanation:
Tangent of an angle is the opposite side over the adjacent side.
Tangent of angle beta is 8/15
Find the area of the shape below
11 ft
7 ft
10 ft
8 ft
2 ft
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Area of whole shape = Area of greater rectangle - area of smaller rectangle
Area of greater rectangle :
[tex]\qquad \sf \dashrightarrow \:11 \times 10[/tex]
[tex]\qquad \sf \dashrightarrow \:110 \: \: ft {}^{2} [/tex]
Area of smaller rectangle :
[tex]\qquad \sf \dashrightarrow \:7 \times 8[/tex]
[tex]\qquad \sf \dashrightarrow \:56 \: \: ft {}^{2} [/tex]
Area of composite figure :
[tex]\qquad \sf \dashrightarrow \:110 \: ft {}^{2} - 56 \: ft {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:54 \: {ft}^{2} [/tex]
Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
IMAGE DOWN BELOW!!
Answer:
19.2 or 19.20
Step-by-step explanation:
Side 25=hypotenuse because it is across from the rightness of the triangleThis means that teh unknown side is a leg, as well as the side that says 16This makes our equation: a²+16²=25²Next we solve16²=256 and 25² is 625 so now our equation is a²+256=625We then subtract 256 from both sides which leaves us with x²=369To find the value of x, we take the square root of both sides. This leaves us with X=19.2draw a quadrilateral that has one angle measure of 20 degrees and exactly one side length of four units
Answer:
You can draw a trapezoid
i hope this helps if you know how to draw the trapezoid you can search on website
What is the area of the shape?
Answer:
76
Step-by-step explanation:
to find the area of a square do base x height
7 x 8 = 56
to find the area of a triangle do base x height ÷ 2
3 x 8 = 24
24 ÷ 2 = 12
2 x 8 = 16
16 ÷ 2 = 8
8 + 12 + 56
= 76
classfiy the raletionship between 7 and 2.
Answer:
they are both prime numbers
have a nice day
The answer is below.
What do 2 and 7 have in common?Both prime numbersBoth can get to certain numbers.
2 and 7 can both get to..14
So, this is what they have in common.
#LearningWithBrainly
~NatLikesAnime!
KLMN is a square and NM = 8. Solve for the blanks below:
N
M
K
L
TZOKL=
mZMOL =
Perimeter of KLMN =
Answer:
see explanation
Step-by-step explanation:
the angles in a square are right .
the diagonals bisect the angles , then
∠ OKL = 45°
The diagonals are perpendicular to each other , then
∠ MOL = 90°
All sides are congruent , so
perimeter = 4 × NM = 4 × 8 = 32
Answer:
Perimeter: 32
measure of angle OKL: 45
measure of angle MOL: 90
Step-by-step explanation:
Things to remember:
- the side of the square are all equal
- vertical angles are congruent
+ ex. MON and KOL; MOL and NOK
- the entirety of the four angles in the center of the square equal 360 degrees
+ ex. MON + MOL + LOK + KON = 360 degrees
- corners of a square equal 90 degrees and since lines MK and LN cut the square in half we can assume that angles like OKL are also cut in half, making them 45 degrees
+ ex. angle NKL (90) = OKL (45) + OKN (45)
- The four triangles in the square are isosceles
If we have the angles of OML and MLO we can find MOL since the angles of a triangle equal 180
OML (45) + MLO (45) + MOL (x) = 180
90 + x = 180
x = 90
110 4t + 90 t=?
Please help!
Answer:
because of some theorm or postulate i forget the name of, angles on opposite sides are equal
110 = 4t + 90
20 = 4t
5 = t
t is equal to 5 degrees
Hitung nilai x bagi persamaan
Calculate the value of x for the equation
Answer:
2
Step-by-step explanation:
2⁹ ÷ (4^x) = 32^x × 32^(-1)
2⁹ ÷ 32^(-1) = 32^x × 4^x
16384 = 128^x
Kalau kamu dah belajar logaritma,
[tex]x = log_{128}(16384) \\ x = 2[/tex]
Jika belum,
2¹⁴ = 2^(7x)
Bandingkan kuasa persamaan tersebut,
7x = 14
x = 2
mrs.eng brought 4 packs of glue sticks. Each packs has 5 glue sticks. Her class uses 2 of the glue sticks for a project.
Answer:
same as other answer
Step-by-step explanation:
Kelsey's class took a field trip to the art museum. They left school at 7:40 A.M. It took them
40 minutes to drive to the museum. They stayed at the museum for 1 hour and 15 minutes.
What time was it when Kelsey's class left the museum?
Answer:
9:35 am
Step-by-step explanation:
7:40 am
+ 40 minutes
7:80
:60 = + 1
:80 - :60 = +:20
8:20
1 hour and 15 minutes =
+ 1 hour =
9:20
+ 15 minutes
9:35 am
i need help finding our the perimeter
Answer:
11x + 10y - 2w
Step-by-step explanation:
Hello!
To solve for the perimeter, we add up the like terms.
What are like terms?
Like terms are terms with the same variable and degree. 4x and 5y are NOT like terms because the variable is not the same. However, 4x and 3x are like terms, as adding them gives us 7x.
4x and 4x² are not like terms, because the degree of 4x is 1 (degree means the largest exponent), but the degree of 4x² is 2.
Solve for Perimeter:
Combine the like terms by adding them up.
Perimeter = (8x - 4w) + (3y + 2w) + (3x + 7y)P = 8x - 4w + 3y + 2w + 3x + 7yP = 8x + 3x + 3y + 7y - 4w + 2wP = 11x + 10y - 2wThe perimeter is 11x + 10y - 2w
PLS HELP - FREE BRAINLIEST: Suppose 4 < a < 5 and 2 < b < 4. Find all possible values of each expression for a-b
Answer:
For problem 1... For problem 2...
Here are the solutions for a. Here are the solutions for b.
[tex]\left[\begin{array}{ccc}5&6\\7&8&9\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}3\\4&5&6\\7&8&9\end{array}\right][/tex]
There are only 5 to infinity solutions. Here, there are 7 to infinity.
What can we base off of these data sets?
We can create many more numerical comparisons, as well as ineqaulities.
Examples of those ineqaulities include...
7 < 8 > 59 = 9 > 46 < 3What have we learned?
We learned how to represent substituted values as numbers in inequalitites by using arrays.Answer:
a is 4.5, and b is 3.
Step-by-step explanation:
These numbers are the averages for the numbers shown.
4+5 = 9
9/2 = 4.5
2+4 = 6
6/2 = 3
That is how you can find the average of two numbers.
Questions
answered
A rectangle has an area of 108 square inches. The rectangle's length is 6 inches longer than 4
times its width.
3
What is the rectangle's width?
Write your answer as an integer, a simplified proper or improper fraction, or a simplified
radical expression
Considering the area of the rectangle, it is found that it's width of the rectangle is of 3 inches.
What is the area of a rectangle?The area of a rectangle of length l and width w is given by:
A = lw.
In this problem, we have that:
A = 108, l = 6 + 4w.
Hence, using the equation for the area:
lw = 108
(6 + 4w)w = 108
4w² + 6w - 108 = 0
2w² + 3w - 54 = 0
Which is a quadratic equation with coefficients a = 2, b = 3 and c = -54, hence:
[tex]\Delta = b^2 - 4ac = (3)^2 - 4(2)(-54) = 441[/tex]
[tex]x_1 = \frac{-3 + \sqrt{441}}{6} = 3[/tex]
[tex]x_2 = \frac{-3 - \sqrt{441}}{6} = -4[/tex]
Width is a positive measure, hence it is of 3 inches.
More can be learned about the area of a rectangle at https://brainly.com/question/10489198
A box of chocolates contains five milk chocolates, five dark chocolates, and three white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is white chocolate, and the third is milk chocolate.
Answer:
2/7
Step-by-step explanation:
Total no. of chocolates in the box =14
No. of dark Chocolates=4
No. of white chocolates=5
No. of milk chocolates=5
Probability of getting a white chocolate
= No. of possible outcomes /Total No. of outcomes
=5/14
Probability of getting a dark chocolate =4/14=2/7
- Meagan puts three flowering plants in a garden bed. Plant 1 and Plant 2 are 6 inches apart Plant 2 and Plant 3 are 10 inches apart Plant 1 and Plant 3 are 13 inches apart Did Meagan place the plants in a right triangle shape? Why or why notp?
Answer:
No
Step-by-step explanation:
They can't be in a straight line because 6+10 (the distance between plants 1 and 2 and plants 2 and 3) is more than 13 which is the distance from plant 1 to plant 3. This means plant 3 can't be in line with 1 and 2 which will give a triangular shape. If we check Pythagorean theorem we get 6^2 + 10^2 = 13^2 ( the longest side has to be the hypotenuse) . Since this isn't a true statement it can't be a right triangle.
ABC is a right triangle. Find the length of x, the altitude of ABC.
Answer:
b. [tex]6\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{6}{x} =\frac{x}{18}[/tex]
[tex]x^{2} =[/tex][tex](6)(18)=108[/tex]
[tex]x=\sqrt{108} =\sqrt{(36)(3)} =6\sqrt{3}[/tex]
Hope this helps
The length of x, the altitude of triangle ABC is [tex]6\sqrt3[/tex]
How to determine the length of x, the altitude of ABC?From the given figure, we have the following equivalent ratio:
6 : x =x: 18
Express as fraction
6/x = x/18
Cross multiply
[tex]x^2 = 6 * 18[/tex]
Evaluate the product
[tex]x^2 = 108[/tex]
Take the square root of both sides
[tex]x = 6\sqrt3[/tex]
Hence, the length of x, the altitude of ABC is [tex]6\sqrt3[/tex]
Read more about right triangles at:
https://brainly.com/question/2437195
#SPJ2
jason is wrapping a gift.The box he is using is a rectangular prism with a length of 20 inches a width 12 inches and a height of 5 inches.Find how many square inches of paper does he need to wrap the intire box?
Answer:
Step-by-step explanation:
Surface area of rectangular prism:
length = l = 20 in
width = w = 12 in
height = h = 5 in
[tex]\boxed{\text{surface area of rectangular prism = 2*[lw + wh + hl]}}[/tex]
= 2* [ 20*12 + 12*5 + 5*20]
= 2* [240 + 60 + 100]
= 2 * 400
= 800 in²