Answer:
The numbers are 8 and 5
Step-by-step explanation:
The square of 8 is 64 and the square of 5 is 25. 25 plus 64 equals 89.
Answer the two questions below. THANKS!!
Problem 1
We're given that angle A = angle B. Also that angle B = angle C.
By the transitive property, we can say angle A = angle C.
So basically all three angles are equal to one another. Let's call that unknown angle x.
For any triangle, the three angles always add to 180, so,
x+x+x = 180
3x = 180
x = 180/3
x = 60
That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.
==========================================================
Problem 2
As mentioned in problem 1, the three angles of a triangle add to 180
A+B+C = 180
A+B+90 = 180
A+B+90-90 = 180-90
A+B = 90
This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.
Suppose that your school's environmental club wants to travel to the state capital to participate in an Earth Day festival. The rental of a bus for the day will cost $895. Lunch and festival activities will cost $25 per student. Your club advisor thinks that the fee for participating should not be more than $60. How many students must be recruited for the trip. Write a mathematical model for this.
Answer:
Mathematical model is:
(895/n) + 25 ≤ 60
Number of students must not be less than 26
Step-by-step explanation:
We are told that;
- the rental of a bus for the day will cost $895.
- Lunch and festival activities will cost $25 per student
If the number of students are n, then cost per student for bus rent is; $895/n
Thus, total amount per n number of students to participate is;
895/n + 25
Now, we are told that the club advisor thinks that the fee for participating should not be more than $60.
Thus in form of inequality, we have;
(895/n) + 25 ≤ 60
Subtract 25 from both sides to get;
(895/n) ≤ 60 - 25
(895/n) ≤ 35
Multiply both sides by n and then divide both sides by 35;
895 ≤ 35n
26 ≤ n
1 point
The weights of laboratory cockroaches follow a Normal distribution with
mean 80 grams and standard deviation 2 grams. Use the figure from above.
About what percent of the cockroaches have weights less than 78 grams?
16%
none of these
32%
34%
O 2.5%
Answer:
16% of the cockroaches have weights less than 78 grams.
Option A is correct.
Step-by-step explanation:
Mean = 80 g
Standard Deviation = 2
We need to find percent of the cockroaches have weights less than 78 grams so, x=78
First we will find z using formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Putting values of x, mean and Standard Deviation to find z
[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{78-80}{2}\\z=-1[/tex]
We need to find P(z<-1)
Looking in the normal distribution table
[tex]P(z<-1)=0.15866\\P(z<-1)\approx 0.16\\Converting \ into \ percentage\\P(z<-1)=16\%[/tex]
So, 16% of the cockroaches have weights less than 78 grams.
Option A is correct.
The quadratic parent function has been reflected down, stretched vertically by a factor of 1/3, shifted vertically by 9 units and shifted horizontally by -12 units.
1a) write the function g(x) in vertex form
1b) then rewrite the vertex form into standard form
Answer:
1a) f(x) = -1/3(x + 12)² + 9
1b) f(x) = -1/3x² - 8x - 39
General Formulas and Concepts:
Algebra I
Equality Properties
Expand by FOIL (First Outside Inside Last)
Standard Form: ax² + bx + c = 0
Transformations Graph: f(x) = a(bx - c)² + d
a = vertical shrink/stretch b = horizontal shrink/stretch c = horizontal movement left/right d = vertical movement up/downStep-by-step explanation:
Step 1: Define
Reflected down and vertically stretched by 1/3: a = -1/3
Shifted vertically by 9 units: d = 9
Shifted horizontally by -12 units: c = -12
Step 2: Write Vertex Form
Define: f(x) = a(bx - c)² + d Substitute: f(x) = -1/3(x + 12)² + 9Step 3: Write Standard Form
Define: f(x) = -1/3(x + 12)² + 9Expand: f(x) = -1/3(x² + 24x + 144) + 9Distribute -1/3: f(x) = -1/3x² - 8x - 48 + 9Combine like terms: f(x) = -1/3x² - 8x - 39And we have our final answers!
please answer as fast as possible see image
Answer:
388
Step-by-step explanation:
We need to find the area of the semicircle and parallelogram separately and then combine.
The formula for the area of a semicircle is 1/2(pi*r^2)
r = 12. 12^2 = 144
1/2(pi*144) = 226..1946711 which we can just round to 226
The formula for the area of a parallelogram is bh
b = 18, h = 9. 18*9 = 162.
226+162 = 388
Answer:
218.55Step-by-step explanation:
total area = semi circle + parallelogram
= (1/2 π 6²) + (9 x 18)
= 56.55 + 162
= 218.55 sq. units
Alright Soldier I need help, Solve for Percent Error, Calculate the percent error if the experimental value of the density of gold is 18.7 g/cm^3 and the accepted value is 19.3 g/cm^3
Answer:
Step-by-step explanation:
so the steps to doing this are as follows :
Subtract the accepted value from the experimental value.
Take the absolute value of step 1.
Divide that answer by the accepted value.
Multiply that answer by 100 and add the % symbol to express the answer as a percentage.
|18.7-19.3|/19.3 = 0.031088 * 100% = 3.1%
x-1
1
X+4
+
2x+1
=
x-2
2x²-3x-2
Answer:
x = 2π3
Step-by-step explanation:
csc(x)csc(x) , x=πx=π
3x+2y+zx+y+z3x+2y+zx+y+z , x=2x=2 , y=3y=3 , z=1z=1
cot(3x)cot(3x) , x=2π3
Hope this helps :)
FInd the circumference of a circle with a diameter of 6 yd. Use the value 3.14 for x and do not round your answers
Answer:
C ≈ 18.85yd
Step-by-step explanation:
8=1/4(x+16) in simplest form
Answer:
X = 16
Step-by-step explanation:
multiply 1\4 by (x+16)
u got 8 = 1\4x +4
32 = x + 16
-x = -16
so x = 16
Hope you got it.
Mark it as Brainliest .
Answer:
x=16
Step-by-step explanation:
I HOPE THIS HELP
what is the answer of CGF of 9 and 12
Answer:
The answer of CGF is 3.................
Answer:
3
Step-by-step explanation:
List the factors of each number
factors of 9 are 1, 3, 9
factors of 12 are 1, 2, 3, 4, 6, 12
The common factors are 1 and 3
GCF = 3
I need help and thanks in advance
Step-by-step explanation:
b²-4ac
(10)²-4(-4)(-8)
=100+16+32
=148
Let's assume your process yields products with a mean diameter of 12.50mm and σ = 0.010mm. If the specification calls for a range of 12.480mm - 12.530mm, what percentage of parts will have a diameter within these limits?
Answer:
There is a 97.59% that diameter of the product will fall in the specified range.
Step-by-step explanation:
Let X be the r.v. the diameter of a product
X~N(12.5, (0.010)²)
P(12.48 < X < 12.53) = P(X < 12.53) - P(X < 12.48)
Convert the x-values to corresponding z-values
[tex]Z_{1} = \frac{12.48 - 12.50}{0.01} = -2\\\\Z_{2} = \frac{12.53 - 12.50}{0.01} = 3\\\\[/tex]
Then, using the standard normal distribution cumulative probability tables:
[tex]P(X < 12.53) - P(X < 12.48) = P(Z < 3) - P(Z < -2)\\\\= P(Z < 3) - (1 - P(Z < 2))\\\\= 0.9987 - (1 - 0.9772)\\\\= 0.9987 - 0.0228\\\\= 0.9759[/tex]
The value of a ratio is __________.
the sum of the two quantities in the ratio
the quotient of the two quantities in the ratio
the difference of the two quantities in the ratio
the product of the two quantities in the ratio
Answer:
B.
Step-by-step explanation: The value of a ratio is the quotient of the two quantities in the ratio.
Answer:
B
the quotient of the two quantities in the ratio
10)
In 1990, about 13.8 million students were enrolled in U.S. colleges. In
2000, about 14.9 million students were projected to be enrolled in U.S.
colleges. Find the average rate of change in the number of students per
year.
Answer:
0.77% increase per year
Step-by-step explanation:
total % increase in the number of college students between 1990 and 2000:
= (14.9 - 13.8) / 13.8 = 1.1 / 13.8 = 0.07971 = 7.971%
average rate of increase per year:
1.07971 = (1 + r)¹⁰
¹⁰√1.07971 = ¹⁰√(1 + r)¹⁰
1.007699 = 1 + r
r = 1.007699 - 1 = 0.007699 = 0.77% increase per year
Vocabulary Is every relation also a function? Explain.
A. No. A relation is a special type of function where each input maps to exactly one output. In a function, an input can have one or more outputs.
B. Yes. A function is a special type of relation where each input maps to exactly one output. In a relation, an input can have one or more outputs.
C. Yes. A relation is a special type of function where each input maps to exactly one output. In a function, an input can have one or more outputs.
d. No. A function is a special type of relation where each input maps to exactly one output. In a relation, an input can have one or more outputs.
Answer:
It is B
Step-by-step explanation:
A user's vocabulary is a collection of often used words in their language. A vocabulary is a helpful and important instrument for communication and knowledge acquisition that develops with age.
One of the most challenging aspects of acquiring a new language is developing a wide vocabulary.
The correct answer is B. Yes. A function is a special type of relation where each input maps to exactly one output. In relation, an input can have one or more outputs.
Words that will be used in all of the classes. Cause and effect, comparison and contrast, and challenge and remedy are some characteristics of text pattern terms. With terms like imagine, forecast, and justify, functional vocabulary can also help with question generation.
To know more about the vocabulary and its function, refer to the link below:
https://brainly.com/question/25312924
Select the correct answer from the drop-down menu. Coulomb's law is given by F=^K^q1^q2/r^2, where F is the force, K is a constant, q1 and q2 are the charges on the two bodies, and r is the distance between them. Rewrite the formula for Coulomb's law to solve for r. The formula for r is _____ .
(I've added a pic of the formula and the three pull down answers)
Answer:
ANSWER IS B
Step-by-step explanation:
The formula for the Coulomb's law with respect to r is given by the equation r = ( Kq₁q₂ / F )^1/2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
F = Kq₁q₂ / r²
where F is the force, K is a constant, q1 and q2 are the charges on the two bodies, and r is the distance between them
On simplifying for r , we get
Multiply by r² on both sides , we get
Fr² = Kq₁q₂
Divide by F on both sides of the equation , we get
r² = ( Kq₁q₂ / F )
Taking square roots on both sides of the equation , we get
r = ( Kq₁q₂ / F )^1/2
Hence , the equation is r = ( Kq₁q₂ / F )^1/2
To learn more about equations click :
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20 POINTS
NEED HELP ASAP
If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x)
A. x-3
B. x-1
C. 5x-1
D. 5x-3
Which of the following is not a Quadrilateral
Answer:
triangle?
Step-by-step explanation:
Answer:
A circle
Step-by-step explanation:
can i get brainliest
PLEASE YALL I need HELP ASAP PLEASE PLEASE PLEASE I WILL MARK YOU AS BRANLIEST IF CORRECT
White an equation in slope intercept form whose slope is 10 and y intercept is -3.
Answer:
y = 10x - 3
Step-by-step explanation:
Answer:
f(x)=10x+-3
f(x)=mx +b
m= slope
b= y intercept
Step-by-step explanation:
A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an additional 40% off. Is this equal to a discount? Explain your answer.
The total percent of reduction is _____% , so this __ * is or is not * __equal to a discount.
Step-by-step explanation:
Step one:
We are told that the store offers off 10% of sales, this means that the store is offsetting the price down by 10% hence a price reduction.
Moreso, a coupon is a voucher entitling the holder to a discount off a particular product. the coupon is 40%, hence this is equal to a discount, that is price reduction by 40%.
Step two:
Say the price of an item is $100, a coupon if 40% will entitle the holder to only pay $60, that is
=40/100*100
=0.4*100
=$40 off
= 100-40
=$60
The total percent of reduction 10+40= 50%
This is equal to a discount on the sales price
Hey! Just do the first one! :) I also need this fast- so help! :((
Answer:
the second one
Step-by-step explanation:
that's the answer
find the exact value of sin(4π3+π4)
sin(4(3.141593^3)+3.141593^4)
sin((4)(31.006277)+3.141593^4)
sin(124.025107+3.1415934)
in(124.025107+97.409091)
sin(221.434198)
=0.998844
Tbh, might be wrong on this one. I'm on the road so didn't double-check my answer.
Plz help I’ll give 20 points
plz help................
Answer:
Step-by-step explanation:
1,2222
2,3333
3,4444
4,5555
5,6666
6,7777
7,8888
8,9999
9,10101010
eduphoria! - School
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Ows el
SA Desmos Scientific
Can you write the equation of a parallel line through the given coordinate and
type the correct code? Please remember to type in ALL CAPS with no spaces. *
Puzzle #4
1:
Find the equation
parallel to
Y: -2x 10
through (3, -1)
2:
Find the equation
parallel to
-1
• 12
through (3,-1)
answer choices
A: - B:
C:
Y'j* Y.-2x•7 y.-24-4
D: E
F:
Y 3*.7 Y-3
y=-2x1
G: H:
y.-24.5 y2x8 Y 3-1
T: -1.
3:
Find the equation
parallel to
y = -2x - 18
through (-3, 2)
4:
Find the equation
parallel to
-1
Y
3
through (12,-5)
Type the 4-
letter code into
the answer
box. All CAPS
no spaces.
X.16
Your answer
Answer: GACI
Step-by-step explanation:
What is the unit price of 6 pounds of chocolate that costs $51.00?
Answer:
$8.50 per pound
Step-by-step explanation:
51/6=8.5
The price of 1 pound is $8.5
What is an Equation ?An equation is a statement that relates expressions with constants or another expressions.
It is given that
6 pounds of chocolate costs $51
then let 1 pound of chocolate costs $x
The equation formed will be
x = $51/6 = $8.5
Therefore the price of 1 pound is $8.5
To know more about Equation
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1 3/4 divided by 1/2-1 1/2 to the 3rd
Answer:
-7/4
1/8
Step-by-step explanation:
1. If the problem is; (1 3/4) / (1/2 - 1 1/2)^(3)
(a). Convert to improper fractions;
(7/4) / (1/2 - 3/2)^3
(b). Simplify;
(7/4) / (-2/2)^3
(7/4) / (-1)^3
(7/4) / (-1)
-7/4
2. If the problem is; ((1 3/4) / (1/2)) - (1 1/2)^3
(a). Convert to improper fractions;
((7/4)/ (1/2)) - (3/2)^3
(b). Simplify;
((7/4)/ (1/2)) - (3/2)^3
((7/4)*(2/1)) - (27/8)
(7/2) - (27/8)
(28/8) - (27/8)
1/8
What is the slope of the line?
Answer:
The correct answer is Integer ;)
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 6 greater-than 4, negative 11 less-than negative 3, 7 greater-than negative 6, negative 5 less-than 1. Column 2 is labeled Multiply each side by: with entries 4, 2, 3, 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a positive number the inequality symbol
Answer:
1. A
2. B
3. A
4. B
5. A
Step-by-step explanation:
Edge 2022
Answer:
A: 24 > 16B: -22 < -6C: 21 > -18D: -25 < 5E: does not changeExplanation: Correct on Edg 2020.
15 kg equals how many grams
Answer:
15,000g
Step-by-step explanation:
Answer: 15000 grams
Step-by-step explanation: To convert Kilograms to Grams, you'll need to multiply the mass value by 1000.