This diagram is a straightedge and compass construction. A is the center of one circle, and B
is the center of the other. Select all the true statements.
a. AC = BC
b. AC = BD
C. CD = AB
d. ABCD is a square
e. ABD is an equilateral triangle
f. CD = AB + AB
Answers
Answer:
Correct choices are a, b, e
Step-by-step explanation:
As per diagram, the circles are equal.
Since the distance AB is the radius of both circles:
AB = AC = BC = BD = AD = rSo the answer choices:
a. AC = BC
Correct, both equal to rb. AC = BD
Correct, both equal to rC. CD = AB
Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to r√3/2, so CD = AB√3d. ABCD is a square
Incorrect. ACBD is rhombuse. ABD is an equilateral triangle
Correct, all three sides are equal to rf. CD = AB + AB
Incorrect as CD = AB√3
Related Questions
Select the correct answer.
What is the product of (x - 3) and (x + 7)?
[tex] {x}^{2} + 10x - 21[/tex]
[tex] {x}^{2} + 4x - 21[/tex]
[tex] {x}^{2} - 4x - 21[/tex]
[tex] {x}^{2} - 10x - 21[/tex]
Answers
Expanding parentheses,
➝ (x - 3)(x + 7)
➝ x(x + 7) - 3(x + 7)
➝ x² + 7x - 3x - 21
➝ x² + 4x - 21
Option B
Explore more:-Expanding brackets involves removing the brackets by multiplying each term in the brackets by every term outside of the brackets. The process of expansion is also known as the distributive law. When expanding brackets be very careful of negative numbers.
Once a set of brackets has been expanded, it is possible for several like terms to appear.
When this is the case you can use the box method or FOIL to ensure you expand the set of brackets properly. In general:
[tex] \large{ \boxed{ \rm{(a + b)(c + d) = ac + ad + bc + bd}}}[/tex]
━━━━━━━━━━━━━━━━━━━━
Lana had 8 4/6 cups of flour. If she used 6 1/6 cups of flour, how much flour
did she have left?
Answers
Answer:
2 3/6 or 2 1/2
Step-by-step explanation:
8 4/6 - 6 1/6 = 2 3/6
In order to predict y-values using the equation of a regression line, what must be true about the correlation coefficient of the variables?
Answers
Answer: The correlation between variables must be significant
Step-by-step explanation: In order to make reliable predictions using the equation of a regression model, the correlation Coefficient between the dependent and independent variables must be significant (that is a correlation Coefficient value close to either 1 or - 1). This is because the range of value of the correlation Coefficient is between - 1 to +1 and the closer the correlation Coefficient value is to either of these numbers, depicts the strength of the relationship which exists between them hence, enabling us to make good and accurate predictions which are close to the actual value.
Regression Analysis is a statistical and reliable process for making predictions using the regression model.
The correct option is:
Option B. The correlation between variables must be significant
The regression line can be explained as:
1. The correlation coefficient between the dependent and independent variables must be significant.
2. The correlation coefficient value should be near 1 or -1.
3. Thus, the values closer to - 1 and +1 will depict the strength of the relationship between the coefficient values.
Thus, regression lines help to predict accurate and reliable results that are close to the actual value.
To know more about regression lines, refer to the following link:
https://brainly.com/question/4341286
suppose y varies jointly as x and z. Find y when x=5 and z=6, if y=144 when x=6 and z=10
Answers
Answer:
y=72
Step-by-step explanation:
y varies jointly as x and z
y=k*x*z
Where,
k= constant of proportionality
y=144, x=6, z=10
y=k*x*z
144=k*6*10
144=60k
Divide both sides by 60
144/60=k
2 24/60=k
2 6/15=k
2 2/5=k
k=12/5
Find y when x=5 and z=6
y=k*x*z
y=12/5*5*6
=360/5
=72
y=72
Xanthe has 2/3
kg of beads. She shares the beads evenly between 9 friends.
How many kilograms does each friend receive?
Answers
Answer:
0.074 or 37/500
Step-by-step explanation:
also 7.4%
Evaluate − 3 w − 5 p for w = − 4 and p = − 3
Answers
Answer:
27
Step-by-step explanation:
Given
- 3w - 5p ← substitute w = - 4 and p = - 3 into the expression
= - 3(- 4) - 5(- 3 )
= 12 + 15
= 27
A 30 ft cable extends from the floor of the lookout of a fire tower. The table is anchored from the ground 18 ft away from the base of the tower. What is the Hight of the floor of the look out tower.
Answers
=================================================
Explanation:
Assume the ground is completely flat and level. We have a right triangle with hypotenuse 30, and the horizontal base leg is 18. The vertical leg is unknown, so we'll call it x.
Use the pythagorean theorem to solve for x
a^2+b^2 = c^2
x^2+18^2 = 30^2
x^2 + 324 = 900
x^2 = 900 - 324
x^2 = 576
x = sqrt(576)
x = 24
The height of the tower's floor is 24 feet.
Why are integers the same as rational numbers
Answers
Answer:
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. If a number is a whole number, for instance, it must also be an integer and a rational.
Step-by-step explanation:
A bookstore contains 75972 books,divided in to three sections. The science represents 1/3 of the total books. The remaining books75%are business. How many books are in the math section?
Answers
Answer:
12,662 books
Step-by-step explanation:
Total number of books = 75,972
No. of science books = ⅓ of 75,972 = ⅓*75,972 = 25,324 books.
No. of business books = 75% of the remaining books = 75% of (75,972 - 25,324)
= [tex] \frac{75}{100}*50,648 = 37,986 [/tex]
No. of business books = 37,986
No. of maths books in the math section = 75,972 - (25,324 + 37,986)
= 75,972 - 63,310
= 12,662 books
Translate 5 times the sum of 7 and n
Answers
Answer:
5( 7+n)
Step-by-step explanation:
First find the sum
(7+n)
Then multiply by 5
5( 7+n)
Answer:
[tex]\Huge \boxed{5(n+7)}[/tex]
Step-by-step explanation:
The sum of 7 and n is also adding 7 and n.
[tex]7+n[/tex]
The sum is the result from adding. That result is multiplied by 5.
[tex]5 \times (7+n)[/tex]
[tex]5(n+7)[/tex]
Find the perimeter of the rectangle
10x - 3
2x + 6
Answers
Answer:
[tex]24x+6[/tex]
Step-by-step explanation:
We know that the perimeter of a rectangle's formula is [tex]2l + 2w = p[/tex], where l is the length and w is the width - p is the perimeter. We know the length and width, so we can substitute into the equation.
[tex](2\cdot(10x-3)) + (2\cdot(2x+6))\\\\(20x-6) + (4x+12)[/tex]
We can now combine like terms to get [tex]24x + 6[/tex].
Hope this helped!
hey can u pls answer this question i am really stuck I will award brainliest for the first correct answer
Answers
Answer for the first box = 6000
Answer for the second box = 1.004
Answer for the third box = 720
So the full equation is [tex]C(t) = 6000(1.004)^{12t} + 720t[/tex]
=======================================================
Explanation:
The compound interest formula is
A = P( 1+r/n )^(n*t)
where
P = amount deposited (principal)r = interest rate in decimal formn = number of times we compound per year (compounding frequency)t = number of yearsIn this case,
P = 6000r = 4.2% = 4.2/100 = 0.042n = 12 since there are 12 months in a year (it explains the 12 in the exponent in the answer)t = unknown, we leave this as isSo we go from this
A = P( 1+r/n )^(n*t)
to this
A = 6000( 1+0.042/12 )^(12t)
A = 6000(1.0035)^(12t)
A = 6000(1.004)^(12t)
The 1.0035 rounded to 1.004 when rounding to three decimal places, as the instructions mention.
So far we only considered the amount placed into the bank. But there's also the amount placed in the safe at home. We have $60 placed in here per month. This is 60*12 = 720 dollars per year. If t years go by, then a total of 720t dollars is put in the safe.
----------
So in summary we found
[tex]b(t) = 6000(1.004)^{12t}[/tex] = amount in savings account after t years go by
[tex]h(t) = 720t[/tex] = amount in safe after t years
leading to
[tex]C(t) = b(t) + h(t) = 6000(1.004)^{12t} + 720t[/tex]
witch is the warmer temperature -9°F or -7°F
Answers
Answer:
-7°F
Step-by-step explanation:
At first, you might think that the answer is -9 because 9 > 7, right? Actually, the "rules" for numbers are switched when you are dealing with negative numbers. Therefore, -7 > -9 so -7°F is the correct answer.
The temperature in Anchorage, Alaska at 6 a.m. was 2°C. If the temperature drops 2 degrees each hour, what is the temperature in degrees Celsius at 2:00 pm
Answers
Answer:
-14°C
Step-by-step explanation:
6 + 8 = 14
So in 24 hour time that would be 2pm
From 6am to 2pm is 8 hours
If the degrees is going down by 2 you would times the 8 by 2 because it is doubled
That = 16
Then you'll minus 16°C from the 2°C
2°C - 16°C
= -14°C
Richard purchased some books for $9.25 each. He paid a total of $46.25. If b is the number of books, which equation can be used to determine the total amount of books Richard bought? b + 9.25 = 46.25 46.25b = 9.25 9.25b = 46.25 46.25 - b = 9.25
Answers
Answer:
9.25b=46.25
Step-by-step explanation:
9.25b=46.25/:9.25
b=5
Richard purchased 5 books for $9.25 each
Solve for the value of x.
5^x+1= 5^2x-3
Answers
Answer:
4
Step-by-step explanation:
5ˣ⁺¹ = 5²ˣ⁻³
x+1 = 2x -3
x = 4
Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .?
Answers
Answer:
-2
Step-by-step explanation:
-12 -14
Write the equation of the line in standard form
64. contains (-8, 4)
and the midpoint of the
segment connecting
(-10, 5) and (-5, 0). Show your work.
Answers
Answer:
[tex]\bold{3x+y+20=0}[/tex]
Step-by-step explanation:
Mid point of (-10, 5) and (-5, 0).
Other point (-8, 4).
To find:
Equation of line in standard form that connect the mid point and other point.
Solution:
Mid point formula is given as:
[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]
[tex]x = \dfrac{-10+-5}{2} = -7.5\\y = \dfrac{5+0}{2} = 2.5[/tex]
Now, the two points are: (-7.5, 2.5) and (-8, 4)
Slope intercept form of line is given as:
[tex]y = mx+c[/tex]
[tex]m=\dfrac{4-2.5}{-8-(-7.5)} = -3[/tex]
So, the equation of line is:
[tex]\Rightarrow y =-3x+c[/tex]
Putting (-8, 4) to find c:
[tex]4=-3\times -8+c\\\Rightarrow c = -20[/tex]
Equation of line:
[tex]\Rightarrow y =-3x-20[/tex]
In standard form:
[tex]\bold{3x+y+20=0}[/tex]
HELP PLS!! 50 POINTS
Answers
Answer:
5 ^ (1/12)
Step-by-step explanation:
5 ^ 1/3
-----------------
5 ^ 1/4
When we divide exponents with the same base, we subtract the exponents
5 ^ (1/3 -1/4)
Getting a common denominator
5 ^ ( 4/12 - 3/12)
5 ^ (1/12)
Answer:
[tex]\Huge \boxed{5^{\frac{1}{12}}}[/tex]
[tex]\rule[225]{225}{3}[/tex]
Step-by-step explanation:
[tex]\displaystyle \sf \frac{5^{\frac{1}{3}} }{5^{\frac{1}{4}} }[/tex]
When dividing same bases, we subtract the exponents.
[tex]\displaystyle \sf 5^{\frac{1}{3}- \frac{1}{4} }[/tex]
Making exponents have the same denominator.
[tex]\displaystyle \sf 5^{\frac{4}{12}- \frac{3}{12} }[/tex]
Subtracting exponents.
[tex]\displaystyle \sf 5^{\frac{1}{12}}[/tex]
[tex]\rule[225]{225}{3}[/tex]
Express 25 minutes as a fraction of 2 hours in its simplest form
Answers
Answer:
5/24
Step-by-step explanation:
1 hour = 60 minutes
2 hours = 60*2 = 120 minutes
then:
25 minutes / 120 minutes
25/5= 5
120/5 = 24
the simpliest form is:
5/24
The simpliest form of 25 minutes as a fraction of 2 hours is 5/24
What is a fraction?A fraction represents a part of a number or any number of equal parts.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
We need to express 25 minutes as a fraction of 2 hours in its simplest form.
Since we know that 1 hour = 60 minutes
2 hours = 60 x 2 = 120 minutes
then:
25 minutes / 120 minutes
25/5= 5
Thus 120/5 = 24
Hence, The simpliest form of 25 minutes as a fraction of 2 hours is 5/24
Learn more about fraction;
https://brainly.com/question/729654
#SPJ1
barons "A salad bar has 7 ingredients, excluding the dressing. How many different salads are possible where two salads are different if they don't include identical ingredients?"
Answers
Answer: 128
Step-by-step explanation:
Given : Total ingredients =7
When we select any one of ingredient for salad, then total choices for each ingredient = 2 (Yes or No)
So for all 7 ingredients there will be [tex]2\times2\times2\times2\times2\times2\times2=2^7=128[/tex] choices [By fundamental principle of counting]
Hence, there are 128 different salads are possible where two salads are different if they don't include identical ingredients
8a + 16[tex]8a + 16[/tex]
Answers
Answer:
8(a+2)
Step-by-step explanation:
can i have the brainliest answer
Select the correct answer.
What is the product of (x - 3) and (x + 7)?
[tex] {x}^{2} + 10 - 21[/tex]
Answers
Answer:
[tex] \boxed{ \boxed{ \bold{ {x}^{2} + 4x - 21}}}[/tex]Step-by-step explanation:
[tex] \sf{(x - 3)(x + 7)}[/tex]
Use the distributive property to multiply each term of the first binomial by each term of the second binomial.
⇒[tex] \sf{x(x + 7) - 3(x + 7)}[/tex]
⇒[tex] \sf{ {x}^{2} + 7x - 3x - 21}[/tex]
Collect like terms
⇒[tex] \sf{ {x}^{2} + 4x - 21}[/tex]
Hope I helped!
Best regards!!
Answer:
[tex] \boxed{\boxed{\boxed{\red{{x}^{2} + 4x - 21}}}}[/tex]
Step-by-step explanation:
[tex](x - 3)(x + 7) \\ x(x + 7) - 3(x + 7) \\ {x}^{2} + 7x - 3x - 21 \\ {x}^{2} + 4x - 21[/tex]
please help me on this
Answers
Answer:
AX = 14
Step-by-step explanation:
The medians of a triangle intersect at its centroid.
The position of the centroid X from the vertex A is
AX = [tex]\frac{2}{3}[/tex] AL = [tex]\frac{2}{3}[/tex] × 21 = 14
will mark as brainliest:)
The function for the cost of materials to make a hat is f(x) = 1/2x + 1, where x is the number of hats. The function for the selling price of those hats is g(fx)), where g(x) = x + 2. Find the selling price of 10
hats.
Answers
Answer:
8 dollars
Step-by-step explanation:
f(10)=6
g(6)=8
8 dollars
pls answer the question with the pic below
Answers
Answer: Complementary
x=58
Step-by-step explanation:
Josh wanted to buy a new shirt for a school dance. At the store, he couldn't decide between a purple plaid shirt and a scarlet striped shirt. Since the shirts were on sale for $19.95 each, Josh decided to buy them both. He saved a total of $9.10. If he saved the same amount on each shirt, what was the original price of each one?
Answers
Answer:
$24.50
Step-by-step explanation:
Money saved for each shirt:
=$9. 10/2
=$4.55
Original price of the shirt:
=$19. 95 + $4.55
=$24.50
Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15, the proportion of people with IQs above 130 is:
Answers
Answer: 0.0228 .
Step-by-step explanation:
Given, IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15
Let X denotes the IQ score.
Then, the proportion of people with IQs above 130 is
[tex]P(X>130)=P(\dfrac{X-mean}{ standard\ deviation}>\dfrac{130-100}{15})\\\\= P(Z>2)\ \ \ \[Z=\dfrac{X-mean}{ standard\ deviation}][/tex]
[tex]=1-P(Z<2)\ \ \ [P(Z>z)=1-P(Z<z)]\\\\=1-0.9772\ [\text{By z table}]\\\\=0.0228[/tex]
Hence, the proportion of people with IQs above 130 is 0.0228 .
9. If DF = 61 and EF = 18, find DE.
Answers
Answer:
43 if yousubtract it
STEP-BY-STEP EXPLANATION
EVALUATE the expression
5x
—
2
for x= -3