Answers
Answer:
[tex]x=7,\\y=4\sqrt{2}[/tex]
Step-by-step explanation:
Draw an auxiliary line in the trapezoid forming a triangle and a rectangle. The dimensions of the rectangle are 3 x 4, so the length of the auxiliary line must be 4.
The auxiliary line also creates a 45-45-90 triangle. The auxiliary line itself makes up one leg of the triangle, and since we know it is 4, we can use the Pythagorean Theorem to find y:
[tex]4^2+4^2=y^2,\\y^2=32,\\y=\sqrt{32}=\boxed{4\sqrt{2}}[/tex]
The length of x can be found by adding the bottom leg of the 45-45-90 triangle and the bottom dimension of the rectangle:
[tex]x=4+3=\boxed{7}[/tex]
Related Questions
Instructions: Find the value of x
Please help
Answers
The two chords are the same length given by the 4 short lines through each section.
Because the chords are the same length they need to be equal distance from the center of the circle
X = 9
I need help, please answer A and B.
Answers
Answer:
a. 81 square inches
b. 108 inches
Step-by-step explanation:
The area of all 5 squares combined is 405 square inches. This is 5 times the area of 1 square. 405/5 = 81. The area of 1 square is 81 square inches.
Since this is a square, the sides are equal. Thankfully the area of 1 square is a perfect square so the length of one side of the square is a full number, which is 9. All of the squares are congruent as shown in the diagram so we simply add every length together (there are 12 sides, each side is 9 inches).
12*9 = 108 and that is the perimeter.
Answer:
area
Step-by-step explanation:
a = 405/5 = 81
a =81 square inches
perimeter
p = √81
= 9
=4×9×5
=180 inches
If f(x) = 2x – 6 and g(x) = 3x + 9, find (f+ g)(x).
Answers
Answer:
(f + g)(x) = 5x + 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 2x - 6
g(x) = 3x + 9
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in function values: (f + g)(x) = 2x - 6 + 3x + 9Combine like terms: (f + g)(x) = 5x + 3The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 132 units2 156 units2 168 units2 216 units2
Answers
Just find the area of each shape:
Big triangle- 1/2 x 8 x 9 = 36 units2
Small triangle- 1/2 x 4 x 6 = 12 units2
Big rectangle: 15 x 4 = 60 units2
Small rectangle: 6 x 4 = 24 units2
Add them all up together:
36 + 12 + 60 + 24 = 132 units2
Trust me this is the answer.
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Determine which ordered pair is a solution of y = -5x - 1.
a. (9,-2)
b. (5, 24)
C. (-1,6)
d. (-4, 19)
Answers
Answer:
d.
Step-by-step explanation:
1) just to substitute the value of 'x' into the given equation and check equality:
(9;-2): -2≠ -45-1;
(5;24): 24≠-25-1;
(-1;6): 6≠5-1;
(-4;19): 19=20-1.
Determine whether the events are independent.Numbers are written on slips of paper in a hat; one person pulls out a slip of paper without replacing it, then a second person pulls out a slip of paper.Independent Not independent
Answers
Answer:
Not independent
Explanation:
Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.
A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?
Answers
8.75meters x 7mins= 61.25 meters
Step-by-step explanation:
Well it would be 8.75 ×7 which is 61.25m
Noah assigns a number to each of the 150 athletes at his school and puts the numbers in a box. He randomly chooses 30 numbers and finds that 18 of the
athletes watched television last night. Use this sample to make an inference about how many athletes watched television last night.
Answers
Answer:
90
Step-by-step explanation:
18 out of 30 watched tv
150/30 = 5
18/30 = (18 * 5)/(30 * 5) = 90/150
Answer: 90
Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?
Answers
Answer:
What is 1/3 of 814
Step-by-step explanation:
What is 1/3 of 814
Answer: I think C
Step-by-step explanation:
name an outcome that has a probability between 0.5 and 1
Answers
Answer:
a coin flip
Step-by-step explanation:
The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.
HELP‼️⚠️‼️⚠️‼️⚠️‼️⚠️‼️
Which polynomial is prime?
O 3x^3+3x^2-2x-2
O 3x^3-2x^2+3x-4
O 4x^3+2x^2+6x+3
O 4x^3+4x^2-3x-3
Answers
Answer:
There is either No Answer or
B See if the computer or your maker will take B, but the real answer is that there is no answer.
Step-by-step explanation:
Prime polynomials cannot be factored.
x^2 + 4 can't be factored.
x^2 - 4 can be factored and is not prime
x^2 - 4 = (x + 2)(x - 2)
A) is not prime
3x^2(x + 1) - 2(x + 1) x + 1 is a common factor
(3x^2 - 2)(x + 1)
B) Not sure. I'll look at the rest. It has a common divisor (x - 1) which turns the result into 0. I don't think you've likely taken this yet, but the answer is (x - 1)(3x^2 + x + 1), so although this one is not prime, it is not done the same way as the other three. It likely is the answer, but I sure would be tempted to report it to your instructor.
C) 3x^2(x + 1) - 2(x + 1) x + 1 is a common factor. C is not the answer.
D D is done the same way that A and C are done.
4x^2(x + 1) - 3(x + 1) and x + 1 is a common factor.
So the answer might be B. It doesn't look like it factors the same way as the other three
Answer: D. 2x4+x3–x+2 is prime
Step-by-step explanation:
A prime polynomial is a polynomial that can't be factored. Hope I helped
HOW COULD MAKE 7 TO BECOME EVEN NO. WITHOUT FOUR FUNDAMENTAL PRINCIPLE
LIKE :
PLUS
MINUS
SOBRACTION
DIVISION
Answers
Answer:
2,4,6,8,10,12,14,16,18,20
Answer:
How do you make the number 7 an even number without addition, subtraction or multiplication?
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22 Answers

Yogesh Rana, B.Sc. Mathematics, University of Delhi (2016)
Answered 4 years ago
You can remove alphabet S from SEVEN.
You can change the convention. Whole mathematics works like that. After all it is just a name, ie, call the numbers divisible by 2 odd and not divisible by 2 even. Everything will still work fine. You got to rename some theorems also.
Introduce and derive a new number system from the current number system, name the symbol 6 as seven and the symbol 7 as Six. Just rename the symbols.
Introducing a new number system and interchange position of 7 with an even number.
If we remove one number before 7 ( 1 - 6 ) with its name, we have again a new number system with base 9 and technically no. 7 is still no. 7 with value = 6.
These are some genuine ways rather than dividing.
ANSWERS OF DIVISION ARE TECHNICALLY WRONG AND RIDICULOUS BECAUSE DIVISION BY ‘x’ is MULTIPLICATION BY ‘1/x’ .
10)
X + 80
700
B) 8
A) 5
C) -10
D) 7
I
Answers
Answer:
x+80=70°(exterior alternate angles)
x=70-80
x=-10
in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?
Answers
Answer and Step-by-step explanation:
1. 2 pairs (aka 4 sides) of Opposite Sides are equal
2. AB and DC are parallel, and AD and BC are parallel
3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal
4. 4 right angles
5. AB and DC are equal, and AD and BC are equal
6. 4 Triangles
7. False
8. Diagonals of a rectangle.
#teamtrees #PAW (Plant And Water)
Help me please I’m down baddddd
Answers
Answer:
a. m<B = 100°
b. m<L = 55°
c. Scale factor = 9/11
Step-by-step explanation:
a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.
Since ∆ABC ~ ∆GLJ, therefore,
<A = <G,
<B = <J
<C = <L
m<J = 100° (given)
Therefore,
m<B = m<J = 100°
m<B = 100°
b) m<A = m<G
m<A = 25° (given)
Therefore,
m<A = m<G = 25°
m<G = 25°
m<L = 180° - (m<J + m<G)
Substitute
m<L = 180° - (100° + 25°)
m<L = 55°
c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle
Scale factor = AB/GJ
Substitute
Scale factor = 18/22
Simplify
Scale factor = 9/11
58% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
a) P(5)=
(b) P(x≥6)=
(c) P(x<4)=
Answers
Answer:
.216165788
.582225057
.417774943
Step-by-step explanation:
We need to use a binomial distribution here
A.
10C5*.58⁵*(1-.58)⁵= .216165788
B.
I honestly think the fastest way to solve this is adding the probabiblity of exactly 6,7,8,9,10
which means we write
10C6*.58⁶*(1-.58)⁴+10C7*.58⁷*(1-.58)³+10C8*.58⁸*(1-.58)²+10C9*.58⁹*(1-.58)+10C10*.58¹⁰= .582225057
C.
To solve this just take the compliment of answer B
1-.582225057= .417774943
What is 25% of 24?
What is 15% of 60?
9 is what percent of 72
Answers
Answer:
6
9
6.48
Step-by-step explanation:
this is the easiest way to solve for percentage:
[tex]\frac{part}{whole} =\frac{part}{whole}[/tex] Where all the percents (except 100) would go in part
and the whole number would go in whole
[tex]\frac{25}{100} =\frac{?}{24}[/tex] Then multiply 24 × 25 ÷ 100 = 6
[tex]\frac{15}{100} =\frac{?}{60}[/tex] Multiply 60 by 25 then divided by 100 = 9
Then for the last one 9 is what percent of 72
all we have to do is multiply 9 and then convert 72 into a decimal (0.72)
Then 9 × 0.72 = 6.48
Answer:
6.48
Step-by-step explanation:
you have to had the left then divide the right
What is the scale factor from Figure A to Figure B? (Please help)
Answers
Answer:
3
Step-by-step explanation:
You can look at the left side of figure thred, it’s one, and b’s left side is 3. To find the scale factor, you divide the second figure by the first. So 3/1=3
In 2015, Tamya spent 100 hours reading. In 2016, she has only read 9.5 hours. How many more hours does she have to read in order to also read 100 hours in 2016?
Answers
Answer:
90.5 hours or 90 hours and 30 minutes
Step-by-step explanation:
100-9.5=90.5
Nevaeh is going to drive from her house to City A without stopping. Let DD represent Nevaeh's distance from City A tt hours after leaving her house. The table below has select values showing the linear relationship between tt and D.D. Determine the distance from Nevaeh's house to City A, in miles.
t d
1 195
2 130
2.5 97.5
Answers
Answer:
Step-by-step explanation:
Answer:
260
Step-by-step explanation:
x2 + y2 − 4x + 12y − 20 = 0
(x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0
Answers
Answer:
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Step-by-step explanation:
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if gh¢400.00 is deposited at a bank at 10 per annum compounded quarterly, how long will it take the deposit to double it value.
Answers
Answer:
~ 7 years
Step-by-step explanation:
2 = (1 + .1/4)^(4t)
2 = (1.025)^(4t)
Take the log of both sides
log2 = 4t * log1.025
divide both sides by log1.025
log2/log1.025 = 4t
28.07103452593863 = 4t
Divide both sides by 4
7.017758631484657 = t
~ 7 years
On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime has points (negative 1, 4), (negative 1, 2), (negative 5, 3). Triangle B double-prime C double-prime D double-prime has points (5, negative 1), (5, negative 3), (1, negative 2).
Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?
Translation of 5 units x, negative 6 units y composition reflection across y = negative x
Reflection across y = negative x composition translation of 5 units x, negative 6 units y.
Translation of 6 units x, negative 5 units y composition reflection across the y-axis
Reflection across the y-axis composition translation of 6 units x, negative 5 units y
Answers
Reflection across the y-axis composition translation of 6 units x, -5 units y. Then the correct option is D.
What is a transformation of the points?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
On a coordinate plane, 3 triangles are shown.
Triangle B C D has points (1, 4), (1, 2), (5, 3).
Triangle B'C'D' has points (-1, 4), (-1, 2), (-5, 3).
Triangle B"C"D" has points (5, -1), (5, -3), (1, -2).
Reflection across the y-axis composition translation of 6 units x, -5 units y.
The diagram is given below.
More about the transformation of the points link is given below.
https://brainly.com/question/27224339
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Can y’all help me on question 20?!
Answers
Answer:
yes I can help you but ???
B. 70 Meters CORRECT!
C. 39 Meters INCORRECT!
if the orginal quantity is 15 and the new quantity is 19 estimate the percent change of which of these is the best esitmate for the percet change
A. 25% DECREASE
B. 5% DECREASE
C 25% INCREASE
D 5% INCREASE
Answers
Answer:
The awnser should be 5% increase or D
Step-by-step explanation:
This should be the awnser because we know that 15 to 19 is a increase. And next 25% increase is way too much, so 5% should be it.
Select all that apply.
A spinner is divided into 4 equal sections. Which of the following are true?
The experimental probability is for each section.
If the spinner is spun 64 times, you would predict it to land on each section 16 times.
The spinner will land on each section of the spinner an equal number of times.
The theoretical probability is 25% for each section.
Multiple choice!!!
Answers
Answer:
(B) If the spinner is spun 64 times, you would predict it to land on each section 16 times.
&
(D) The theoretical probability is 25% for each section.
I got this question right
HELP THIS IS FOR MY FINAL GRADE
Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600. How much money will she make in all over 5 weeks?
Answers
Answer:
Ida makes $ 6960 in 5 weeks.
Step-by-step explanation:
Let the profit of the first week is p.
p = $ 600
Total profits of the five weeks
= p + (p + 0.15p) + (p + p +0.15 p) + (p + p + p + 0.15 p) + (p + p + p + p + 0.15 p)
= 11 p + 0.6 p
= 11 x 600 + 0.6 x 600
= 6600 + 360
= $ 6960
So, Ida makes $ 6960 in 5 weeks.
Which unit of measure would be appropriate for the area of a picture that is
20 centimeters tall and 15 centimeters wide?
A. Meters
B. Cubic centimeters
C. Square centimeters
D. Centimeters
Answers
Answer:
C: Square centimeters
Step-by-step explanation:
We are measuring length here, not volume, so recognize that this fact eliminates Answer B. The area of a rectangle, such as this picture is, is A = Length * Width, measured in (cm)(cm), or C: Square centimeters.
need help again thank you
<3
Answers
a.
Answer:
240 cm^3
b.
Answer:
208cm^2
2. A set of data consists of the number of years that applicants for foreign service
jobs have studied German and the grades that they received on a proficiency test.
The following regression equation is obtained: = 31.6 + 10.9x, where x represents
the number of years of study and y represents the grade on the test.
a. Identify the predictor and response variables.
b. Interpret the regression equation by interpreting the y-intercept and slope.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the regression equation :
y = 31.6 + 10.9x
x = the number of years of study ;
y = the grade on the test.
The predicted is y which is also the same as the response variable, hence, the response variable is grade on the test
The predictor variable is x, which is the independent variable, which is the number of years of study.
From. The regression output given ;
The slope which is the Coefficient of the predictor variable is 10.9 which means that for every unit change in number of years of study, the grade on test increases by 10.9
The intercept which is the constant value, 31.6, means, the least a person can get in the get in grade is 31.6 (at x = 0)
