Answer:
29
Step-by-step explanation:
multiply by 2
Four students were asked to label angles in pairs of triangles. Their drawings are shown below. Tatyanna Triangle A B C. Angle B is 54.3 degrees and angle C is 61.2 degrees. Triangle X Y Z. Angle Z is 64.5 degrees and angle Y is 54.3 degrees.[Not drawn to scale] Simon Triangle A B C. Angle A is 63.2 degrees and angle B is 58.4 degrees. Triangle X Y Z. Angle Z is 63.2 degrees and angle Y is 58.4 degrees.[Not drawn to scale] Anders Triangle A B C. Angle A is 59.8 degrees and angle B is 60.6 degrees. Triangle X Y Z. Angle X is 59.8 degrees and angle Z is 60.6 degrees.[Not drawn to scale] Kai Triangle A B C. Angle B is 60.9 degrees and angle C is 57.7 degrees. Triangle X Y Z. Angle X is 61.4 degrees and angle Z is 57.7 degrees. [Not drawn to scale] Which student labeled the triangles such that Triangle A B C is similar to X Y Z? Tatyanna Simon Anders Kai
Answer: I’m confident with Kai being the correct answer
Kai labeled the triangles such that ΔABC is similar to ΔXYZ.
What is a triangle?A triangle is a two-dimensional geometrical figure that has three sides, three vertices, and three interior angles.
As per Tatyanna:
In ΔABC, ∠B = 54.3°, ∠C = 61.2°
Therefore, ∠A = 180° - (54.3° + 61.2°) = 64.5°
In ΔXYZ, ∠Z = 64.5°, ∠Y = 54.3°
Therefore, ∠X = 180° - (64.5° + 54.3°) = 61.2°
As per Simon:
In ΔABC, ∠A = 63.2°, ∠B = 58.4°
Therefore, ∠C = 180° - (63.2° + 58.4°) = 58.4°
In ΔXYZ, ∠Z = 63.2°, ∠Y = 58.4°
Therefore, ∠X = 180° - (63.2° + 58.4°) = 58.4°
As per Anders:
In ΔABC, ∠A = 59.8°, ∠B = 60.6°
Therefore, ∠C = 180° - (59.8° + 60.6°) = 59.6°
In ΔXYZ, ∠X = 59.8°, ∠Z = 60.6°
Therefore, ∠Y = 180° - (59.8° + 60.6°) = 59.6°
As per Kai:
In ΔABC, ∠B = 60.9°, ∠C = 57.7°
Therefore, ∠A = 180° - (60.9° + 57.7°) = 61.4°
In ΔXYZ, ∠X = 61.4°, ∠Z = 57.7°
Therefore, ∠Y = 180° - (61.4° + 57.7°) = 60.9°
Therefore, the sequence and the value of the angles for ΔABC and ΔXYZ matches only with Kai's drawings.
Therefore, as per his drawings, ΔABC and ΔXYZ will look similar.
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I will mark brainliest if you are correct!
When solving the equation, which is the best first step to begin to simplify the equation?
-2 (x + 3) = -10
A. (-2) (-2) (x + 3) = -10 (-2)
B. -1/2 (-2) (x + 3) = -10 (-1/2)
C. -2/2 (x + 3) = -10/2
-2/-10 (x + 3) = -10/-10
Answer:
i think the answer is C
Step-by-step explanation:
Answer:
Look below.
Step-by-step explanation:
Uh here's what I did:
-2x-6= -10
Add 6 to both sides.
-2x=-4
Divide both sides by -2
x=2
Archaeology students are constructing a replica of the Great Pyramid of Giza that they will then fill with sand. The replica is to be the size of the original pyramid. The Great Pyramid is approximately meters tall and each side of the base is approximately meters long. Based on these measurements, how many cubic meters of sand will the students need? Round your answer to the nearest whole number.
Archaeology students are constructing a replica of the Great Pyramid of Giza that they will then fill with sand. The replica is to be 120the size of the original pyramid. The Great Pyramid is approximately 147 meters tall and each side of the base is approximately 230 meters long. Based on these measurements, how many cubic meters of sand will the students need? Round your answer to the nearest whole number.
Answer: 972 m^3 of sand
Step-by-step explanation:
Height of original pyramid = 147 meters
Each side of the base = 230 meters (that is both the base length and base width).
If replica pyramid is to be 1/20 the size of the original pyramid :
Size dimension of replica pyramid will therefore be,
Height = 1/20 × 147 = 7.35metres
Each Base = 1/20 × 230 = 11.5 metres
To calculate the amount of sand required, we can get these by Calculating the volume of the pyramid which us the amount of space occupied by an object.
The volume of a pyramid is given by:
(Base length × base width × height) ÷ 3
( 7.35 m × 11.5 m × 11.5 m) / 3
972.0375 m^3
That means the volume of the pyramid is 972.0375 m^3
I have a test to do today and I need help with it, i don't understand any of it. I will copy and paste it here: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. 1) About what percent of people would have IQ between 85 and 115? 2) About what percent of people would have IQ between 70 and 130? 3) About what percent of people would have IQ above 130? 4) If a school had 255 students, about how many would you expect to have an IQ less than 70? 5) If a school had 1531 students, about how many would you expect to have an IQ greater than 145? 6) If a school has 354 students with an IQ between 100 and 130, about how many students does the whole school have?
Answer:
68%
Step-by-step explanation:
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .
Point A (-6,8) and Point B (6,-7)
Answer:
[tex]\displaystyle \text{Midpoint} = \boxed{ \displaystyle \bigg(0,\frac{1}{2} \bigg) }[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinate Plane
Coordinates (x, y)Midpoint Formula:
[tex]\displaystyle \bigg(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2} \bigg)[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle\text{Point A} (-6, 8) \\\text{Point B} (6, -7) \\\begin{aligned}x_1 & = -6 \\x_2 & = 6 \\y_1 & = 8 \\y_2 & = -7 \\\end{aligned}[/tex]
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find the midpoint:
[Midpoint Formula] Substitute in coordinates:∴ we have found the midpoint of the line segment AB.
___
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___
Topic: Algebra I
[tex]\huge\underline\mathcal{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - two points A ( -6 , 8 ) and B ( 6 , -7 )To calculate - mid point of the line joining points A and B.let the mid point be named P ( x , y )
Now ,
By Mid Point Formula ,
[tex]\bold{P(x,y) = ( \frac{ x_{1} + x_{2} }{2} \: , \: \frac{ y_{1} + y_{2}}{2} )} \\ [/tex]
According the the Question , we get to know that
[tex]\bold{x_{1} = - 6 \: \: \: , \: \: \: x_{2} = 6} \\ \\\bold{ y_{1} = 8 \: \: \: , \: \: \: y_{2} = - 7}[/tex]
Substituting the values in the mid point formula ,
[tex]\bold{P(x,y) = ( \frac{ - 6 + 6}{2} \: \: , \: \: \frac{8 + ( - 7)}{2} )} \\ \\ \bold{\implies \: P(x,y) = ( \frac{0}{2} \: \: , \: \: \frac{1}{2} )} \\ \\ \bold{\implies \: P(x,y) = (0,0.5)}[/tex]
hope helpful ~
A triangle has a side with length of 6 feet and another side with length of 8 feet. The angle between the sides measures 73°. Find the area of the triangle. Round your answers to the nearest tenth. Please show work.
a. 23.0 ft^2
b. 45.9 ft^2
c. 1752 ft^2
d. 7.0 ft^2
Answer:
Area = (1/2) * side 1 * side 2 * sine (73 degrees)
Area = (1/2) * 6 * 8 * .9563
Area = 22.9512 square feet
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Area = ½ a b sinC
= ½ × 6 × 8 × sin(73)
= 22.9513141431
To the nearest tenth: 23.0 ft²
If a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 2r fill?
Answer:
Step-by-step explanation:
First, calculate the volume of the first cylinder
V= pi * r^2 * h
= pi * r^2 * 9 = 9 pi r^2
Volume of the second cylinder
V = pi * (2r)^2 * 9 = 36 pi r^2
the number of pitcher that can be filled is volume of second pitcher divided by volume of smaller 36 pi r^2 / 9 pi r^2 = 4
The number of cylinders that can be filled is given by the equation A = 4
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the first cylinder be V₁
The radius of cylinder 1 = r
The height of the cylinder 1 = 9 inches
Let the volume of the second cylinder be V₂
The radius of cylinder 1 = 2r
The height of the cylinder 1 = 9 inches
Now , the volume of cylinder 1 is V₁ = πr²h
Substituting the values in the equation , we get
V₁ = 9πr²
Now , the volume of cylinder 2 is V₂ = πr²h
Substituting the values in the equation , we get
V₂ = 9π ( 2r )²
V₂ = 36πr²
And , the number of cylinders that can be filled is A = V₂ / V₁
On simplifying the equation , we get
The number of cylinders that can be filled is A = 36πr²/9πr²
The number of cylinders that can be filled is A = 4 cylinders
Hence , the number of cylinders is 4
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The length of a rectangular plot is expressed as x²m and the breadth is xm if the area of the rectangular plot is 5832sqcm then find it's length and breadth
Answer:
Length = x^2 = 0.835^2 = 0.698 m = 69.8cm
Breadth = x = 0.835 m = 83.5cm
Step-by-step explanation:
Given;
Length of the rectangular plot l = x^2 m
Breadth b = x m
Area A = 5832 cm^2 = 0.5832 m^2
(They should be converted to the same units before solving: length in metres and area in square metres)
The area of a rectangular plot can be calculated using the formula;
Area = length × breadth
A = l × b
Substituting the values of l and b;
A = x^2 × x
A = x^3
Substituting the value of A;
0.5832 = x^3
solving for x;
x = (0.5832)^(1/3)
x = 0.835 m
Length = x^2 = 0.835^2 = 0.698 m = 69.8cm
Breadth = x = 0.835 m = 83.5cm
plzzzzzzzzzzzzaaaaaaaa
Answer:
A
Step-by-step explanation:
[tex]y^2-11y=-28\\y^2-11y+28=0\\(y-7)(y-4)=0\\y=4, 7[/tex]
The correct answer choice is A. Hope this helps!
Given the function f(x)=7x-4 find f(3)
Answer:
17
Step-by-step explanation:
f(x)=7(3)-4 Distributive Property
f(x)=21-4 Subtract
f(x)=17
The value of f(3) is 17
what is function?Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.
Given:
f(x)=7x-4
Now for x=3
f(3)= 7*3-4
=21-4
=17
Hence, the value of function is 17.
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(-4) X(-6) what’s the answer
Answer:
its 24
Step-by-step explanation:
because negative times negative is positive
Pleaaase help me out here im being timed!!
Really appreciate it if u did thank u.
What is the equation of a line with a slope of 6 and y intercept of -2
Answer:
6x-y=2 is the equation
Step-by-step explanation:
The formula is y= mx+c where m= slope and c = y-intercept
so replacing their values,
y = 6x -2
y+2= 6x
6x-y = 2 is the required equation.
Answer:
y=6x-2
Step-by-step explanation:
Answer: to write an equation it has to be y=mx+b
The slope is 6, so you substitute the 6 in for the m. M is always the slope.
You also keep the x there.
The y intercept, also know as b, is -2 so you substitute that in for b.
Then you get the equation on the line.
y=6x-2!
Hope this helps. :)
A total of 354 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
There are 118 adult tickets sold
This is because 354/3 =118
and 118+118=236
236 are the child tickets
therefore 118 are the adult tickets.
Hope this helped!
The total number of adult ticket sold is 118 tickets.
Application of linear equation.
Let's write "x" to represent how many adult tickets were sold.
The information provided indicates that there were twice as many student tickets sold as adult tickets. The quantity of student tickets sold can therefore be stated as 2x.
There were 354 total tickets sold, which includes both student and adult tickets.
We may construct an equation based on the total number of tickets to resolve this issue:
x + 2x = 354
Combining comparable variables
3x = 354
x = 354 / 3
x = 118
118 adult tickets were consequently sold.
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1 point
Find the volume of the following pyramid. Round to the nearest tenth if
needed. *
O V= 60 in cubed
OV= 20 in cubed
V= 30 in cubed
picture above!
Answer:
V=20 in cubed
Step-by-step explanation:
The formula to find the volume of a pyramid is L×W×H÷3
L×W=15 or 5×3=15 15×H=60 or 15×4=60 60÷3=20 in cubedTherefore V =20 in cubed
Hope that helped! If you have any further questions please message me! Good luck!
Will mark Brainliest please answer
Answer:
A. (-1,-2)
Step-by-step explanation:
hope this helps :) and can i ask is that a leg next to the screen?
What is the equation
Answer:
76
Step-by-step explanation:
-4x + 104 = -200
-4x = -304
4x = 304
x=76
can't figure this out.. please help if you can.
Answer:
1725 square feet
Step-by-step explanation:
[tex]area \: of \: yard = \frac{1}{2} (50 + 65) \times 30 \\ = 115 \times 15 \\ = 1725 \: {ft}^{2} \\ [/tex]
Answer:
1725 sq ft
Step-by-step explanation:
50+65=115
115/2=57.5
57.5*30=1725
Simplify 8^2/3 -√9×10^0+(1/144)^-1/2
Answer:
13
Step-by-step explanation:
We have the following expression:
[tex]8^{\frac{2}{3} } -\sqrt{9}*10^{0} + (\frac{1}{144}) ^{-\frac{1}{2} }[/tex]
If we do part by part, we have remains:
[tex]8^{\frac{2}{3} }[/tex] = 4
8 = 2^3
Therefore, the exponents 3 * 2/3 = 2 are multiplied
2^2 = 4
[tex]\sqrt{9}*10^{0}[/tex] = 3
We know that the root of 9 is equal to 3 and that every number raised to 0 is equal to 1, therefore 1 * 3 = 3
[tex](\frac{1}{144}) ^{-\frac{1}{2} }[/tex] = 12
When the exponent is negative, the fraction can be inverted and at the end there is 144 ^ 1/2, which would be the root of 144, which is equal to 12.
So, we have:
4 - 3 + 12 = 13
Write nine minus the quotient of two and a number x as a expression variable
Answer:
9-(2/x)
Step-by-step explanation:
I NEED HELP ASAP!!! Suppose a study shows that 1 out of 287 computers are hacked. If a company has 8,564 computers, how many are not likely to be hacked? Round your answer to the nearest whole number
Answer: 30 computers.
Step-by-step explanation: Just divide the total amount of computer by the probability, which is 287. then you get 29.83, after that just round to the nearest whole number.
Answer:
8534
Step-by-step explanation:
8564/287=29.8 rounded is 30 so 8564-30=8534 if i am wrong sorry
What is the square root of 91
Answer:
9.53939201417
Step-by-step explanation:
sqrt(91)=
9.53939201417
Answer:
9.53939201
Step-by-step explanation:
This can simply be done in a calculator but what you are basically doing is thinking about the reverse of a exponent. For instance, √25 is 5 because 5² is 25. Hope this helps! If you are still confused please comment!
Which statements are true regarding the prism? Check
all that apply.
The prism has no vertices.
The prism has 9 edges.
The bases of the prism are triangles.
The bases of the prism are rectangles.
The prism has 5 faces.
Answer:
The prism has 9 edges, The bases of the prism are triangles, and the prism has 5 faces.
Would really appreciate a brainliest! Hope this helped! =)
Answer: B, C, E
Step-by-step explanation: dude trust me c'mon
Which relation is a function? A. (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) B. (1, 1), (2, 2), (3, 3), (4, 4), (5, 8) C. (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) D. (9, −3), (9, 3), (4, −2), (4, 2), (0, 0)
Answer:
b is the answer
Step-by-step explanation:
i checked if inputs repeated in all the string of answers
Answer:
b
Step-by-step explanation:
What is the direction of the vector [tex]r(t)=(1,\sqrt{3} )[/tex]?
1
[tex]\sqrt{2}[/tex]
pi/6
pi/3
Answer:
π/3
Step-by-step explanation:
The vector is in the first quadrant. The angle is:
tan⁻¹(√3 / 1) = π/3
8+16÷4·3+5·4·25·2 =
solve the equation
Answer:
1020
Step-by-step explanation:
8+16÷4·3+5·4·25·2
PEMDAS
Multiply and divide from left to right
8+4·3+5·4·25·2
8+12+5·4·25·2
8+12+1000
Then add
1020
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest dollar.
Answer:
14,400
Step-by-step explanation:
i=prt
p=40,000
r=0.09 have to turn percent to decimal
t=4
(40,000)(0.09)(4)
Answer:
Well, this is simple.
I=PRT
(Interest= Principle*Rate*Time)
So, simply divide both sides by PR
T=I/PR
Your answer is C: T = I divided by the quantity P times R
(This should have been represented as: T= I/PR)
~Hope this helps
Step-by-step explanation:
Vijay's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volume of the microwave?
Answer:3080”
Step-by-step explanation:
please help immediately very confused
Answer:
4.5
Step-by-step explanation:
162/360=0.45
0.45*10=4.5
Answer:
4.5units
Step-by-step explanation:
arc length's formula:2πr(∆/360)
remember, 2πr: circumference of a circle:
10units according to diagram.
∆=162°
using formula, 10(162°/360)
10*162/360 : 162/36
:4.5 units.
There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?
A) Permutation
B) Combination
C) Circular permutation
