Answer:
E. 36
Step-by-step explanation:
You have to do a² + b² = c²
Plug in
15² + b² = 39²
225 + b² = 1521 (subtract 225 on both sides)
√b² = √1296 (square root on both sides)
b = 36
Hope this helps ya!
The length of the EF in the right-angle triangle is 36 units if the length of DF is 15 units the length of DE is 39 units option (E) is correct.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right angle triangle shown in the picture.
The length of DF = 15 units
The length of DE = 39 units
As we know, Pythagoras' theorem can be defined as the square of the hypotenuse in a right-angled triangle equal to the sum of the squares of the other two sides.
Applying Pythagoras theorem:
DE² = DF² + EF²
Plug the known values:
39² = 15² + EF²
1521 = 225 + EF²
EF² = 1296
EF = √1296
EF = 36 units
Thus, the length of the EF in the right-angle triangle is 36 units if the length of DF is 15 units the length of DE is 39 units option (E) is correct.
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The new number, 500 is 200 more than the original number. What is the approximate percent change?
A. The percent change is approximately 33%.
B. The percent change is approximately 55%.
C. The percent change is approximately 150%.
D. The percent change is approximately 175%.
Answer:
B.
Step-by-step explanation:
The percent change is approximately 55 %
Nicole has x dimes and y nickels. She has at least 15 coins worth a maximum of $1
combined. Solve this system of inequalities graphically and determine one possible
solution.
Answer:
Step-by-step explanation:
[tex]X + Y \geq 15\\\\10X + 5Y \leq 100[/tex]
we want to put it into terms of Y
[tex]y \geq 15 - x\\and\\5y \leq 100 - 10x\\y \leq 20 - 2x[/tex]
the graph is in the attached image. Any point in the shaded overlap region where x is greater than or equal to 0 (assuming you cannot have negative coins) works, e.g. (2, 14)
The solution of the inequalities is required.
One of the solutions is [tex](5,10)[/tex]
Number of dimes is [tex]x[/tex]
Number of nickels is [tex]y[/tex]
Minimum number of coins is 15.
So, [tex]x+y\geq 15[/tex]
Maximum total value of the coins is $1
So, [tex]0.1x+0.05\leq 1[/tex]
The equations are
[tex]x+y=15[/tex]
[tex]0.1x+0.05y=1[/tex]
Points of the first equation
[tex](0,15)[/tex] and [tex](15,0)[/tex]
Graph the points and draw a line through them.
Points of the second equation
[tex]x=0[/tex]
[tex]y=\dfrac{1}{0.05}=20[/tex]
[tex]y=0[/tex]
[tex]x=\dfrac{1}{0.1}=10[/tex]
[tex](0,20)[/tex] and [tex](10,0)[/tex]
Graph the points and draw a line through them.
The shaded regions can be determined by substituting the point in the equations.
One of the solutions is [tex](5,10)[/tex]
This means there are 5 dimes and 10 nickels.
[tex]5+10=15\geq 15[/tex]
[tex]0.1\times 5+0.05\times 10=1\leq 1[/tex]
Hence, one of the solutions is [tex](5,10)[/tex].
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Which of the following fractions is equivalent to 2:11?
A.
3/11
B.
2/12
C.
2/11
Answer:
Step-by-step explanation:
Step 1:
2 : 11 Ratio
Having a ratio is the same thing as dividing so if you divide 2 by 11 you get 2/11.
Step 3
2 ÷ 11
Answer:
C. 2/11
Hope This Helps :)
I need help finding the value of x please.
Answer:
X = 12
Measure of exterior angle = 80
Step-by-step explanation:
Angles P and Q are equal to the right side of R ( solve for x )
Which compound inequality has no solution?
x > 2 and 3x ≤ 9
x > 1 and 2x ≤ –2
x > –1 and 4x ≥ –8
x > –2 and 5x ≥ 15
Answer:
b
Step-by-step explanation:
Answer:
The guy above me its right its B.
Step-by-step explanation:
Just did the quiz and got it right
. The graph of 2x – y = 3 is shown on the coordinate grid.
Which ordered pair is NOT in the solution set of 2x – y > 3? (2, 0) (2, 1) (1, –3) (3, –1)
Answer
2,1
Step-by-step explanation:
all the others or on one side besides that one with is on the line
The ordered pair which is not in the solution set of 2x – y > 3 is that which is a solution of the graph of 2x – y = 3 and is; (2, 1)
According to the question;
We are required to determine which ordered pair is NOT in the solution set of 2x – y > 3Evidently, among the choices of coordinates; only (2, 1) is a solution of the equation 2x – y = 3.
By testing;
2(2) - 1 = 33 = 3.As such, since (2,1) is a solution of the equation 2x – y = 3, it can't also be a solution of 2x – y > 3.
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Karen picked apples at the Carter Apple Orchard this weekend. She made a graph to show how many apples she picked.
=
2
apples
=2 apples
Granny SmithGalaFijiRomePink LadyNumber of applesApple Type
Karen ate
5
55 Fiji apples and dropped
4
44 Gala apples.
After Karen ate and dropped those apples, which two types have the same number of apples?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
Pink Lady
(Choice B)
B
Rome
(Choice C)
C
Fiji
(Choice D)
D
Gala
(Choice E)
E
Granny Smith
Answer:
Choice C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
If p and q are non-zero rational numbers, and s and t are irrational numbers, select all of the statements that are always false.
answer choices are
The product pq is irrational.
The product pt is irrational.
The quotient pq is irrational.
The product st is irrational.
The quotient st is rational.
Answer:
The false choices are A, C, and E
Step-by-step explanation:
Let's make an example:
p=1
q=2
s=sqrt(3)
t=sqrt(6)
Since pq=1*2=2, the answer is rational and A is false.
Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.
Since p/q=1/2=0.5, the answer is rational and C is false.
Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.
Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.
The false statements are:
The product pq is irrational.
The quotient pq is irrational.
The quotient st is rational.
A rational number is a number can be expressed as a fraction of two whole numbers. While, an irrational number is a number that cannot be expressed as the fraction of two whole numbers.
Examples of rational numbers are: 6, 2,3
Examples of irrational numbers are: √2, √3
Let p and q be represented with 2 and 6 respectively.
The product of 2 and 3 = 2 x 6 = . The number is a rational number
Let p and t be represented with 2 and √2 respectively.
The product of 2 and √2 = 2 x√2 = 2√2. The product is irrational
The quotient of pq = 6 /2 = 3.
The quotient is rational.
Let s and t be represented with √2, √3. The product is √2 x √3 = √6. The product is irrational.
The quotient of s and t = √2 /√3.
The number is irrational.
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Look at photo because I don’t get it
Answer:
a) (-2,2), (-1,-1), (1,-1), (3,7)
b) x=1.4
Answer:
a) (-2, 2), (-1, -1), (1, -1), (3, 7)
b) x = 1.4
Step-by-step explanation:
a) Plug in your x & solve for y.
[tex]y = (-2)^2 - 2\\y = 2\\y = (-1)^2 - 2\\y = -1\\y = (1)^2 - 2\\y = -1\\y = (3)^2 -2\\y = 7[/tex]
b) Same thing as a, but just plug in 0 for y & solve for x
[tex]0 = x^2 -2\\2 = x^2\\\sqrt(2) = x\\1.4 = x[/tex]
Write the equation of the line, in slope-intercept form, with the
following information:
slope: -2
point: (5,-4)
Answer:
Step-by-step explanation:
y + 4 = -2(x - 5)
y + 4 = -2x + 10
y = -2x + 6
Type only a number for your answer
Answer:
x = 80
Step-by-step explanation:
x + 30 = 110 (opposite sides are congruent/equal)
x = 110 - 30 (subtract the 30 from both sides to get X by itself)
x = 80 (simplify)
Expand and simplify
(7 + V6 )^2
Answer:
36V²+84V+49
Step-by-step explanation:
since it is (7+6V) in two places,therefore
7(7+6v)+6v(7+6v)
49+42v+42v+36v²
36v²+84v+49
Find the slope of the line passing through the given points.
(-6,5), (-7,12)
Answer:
1/7x or 1/7
Step-by-step explanation:
the equation for slope is
y2-y1 over x2 minus x1, so basically it means that you find the second x which in this case is 12 and subtract the first x which is 5. 12-5 is 7
You also do -7 minus -6 for the y2-y1 stuff so it is -7 plus 6 cuz the double - signs cancel out to positive.
-7 + 6 is 1
1 over 7 is 1/7
If you answer 30 problems on Brainly in a day and 12 people find your answer helpful on each problem, now many people did you help out?
Answer:
600 people
Step-by-step explanation:
30x12=600.
the statue is how tall?
PLEASE HELP ASAP!!
Answer:
Accounting for its formula,
The statue is roughly 12ft. tall
Cheyenne is deciding between the ways she has to buy music. Albums on CD cost $13 but downloads of an album only cost $10. If she can spend up to $150 on music purchases, which of these expresses her purchasing restrictions when she buys c CDs and downloads d albums?
Answer:
G
Step-by-step explanation:
The expression that expresses her purchasing restrictions is:
13c + 10d = 150.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, Cheyenne is deciding between the ways she has to buy music. Albums on CD cost $13 but downloads of an album only cost $10. If she can spend up to $150 on music purchases.
Let "c" be the CDs she bought
and "d" be the albums she downloads
Price of total CD = 13c
price of total download = 10d
Thus, an equation that satisfies the situation:
13c + 10d = 150
therefore, Her purchasing limitations are expressed in the following way:
13c + 10d = 150.
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PLEASE HELPP!!! DUE IN 1 HOUR!!! I NEED SOME HELPPPP!! WILL GIVE BRAINLIEST TO PERSON WITH BEST ANSWER
Use the values x=4,0,5 to verify your solution to the equation 5+x-12=x-7. In your final answer, include all of your calculations.
Answer:
Down there! Idk if it was what your looking for but this is what I got..
Step-by-step explanation:
(-∞,∞)
Step-by-step explanation:
PART A:
given
This is true for all values of x.
So,x∈-∞,+∞
PART B:
When ,left hand side=
right hand side=
so,left hand side =right hand side
When ,left hand side=
right hand side=
so,left hand side =right hand side
When ,left hand side=
right hand side=
so,left hand side =right hand side
Answer:
5+4-12=4-7 9-12=4-7 -3= -3
5+0-12=0-7 5-12=0-7 -7= -7
5+5-12=5-7 10-12=5-7 -2= -2
Step-by-step explanation:
Find the recursive rule, explicit rule, and f(20)
Answer:
Recursive:
[tex]f(1)=35, f(n)=f(n-1)+10[/tex]
Explicit:
[tex]f(n)=35+10(n-1)[/tex]
And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:
[tex]f(n)=a, f(n)=f(n-1)+d[/tex]
Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:
[tex]f(1)=35, f(n)=f(n-1)+10[/tex]
Explicit Rule:
The standard format for the explicit rule is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:
[tex]f(n)=35+10(n-1)[/tex]
Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:
[tex]f(20)=35+10(20-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}[/tex]
Hence, the 20th term is 225.
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:1/4+m= 2/3
Step-by-step explanation:
Plz brainliest and extra points!
I’m almost an expert!!
PLEASE HELP ME!!!!!!!!! 75/w=150/100
Answer:
The answer is 75/50
Step-by-step explanation:
Answer:
75/W = 150/100
75/W = 3/2
W x 75/W = W x 3/2
75 = 3W/2
2 x 75 = 2 x 3W/2
150 = 3W
so the answer should be 50 = W
Find the equation for a line passing through (2,1) and (0,4). (standard form) Will give Brainliest
Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).
Step 1: Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope
formula:
Step-by-step explanation:
use this on your problem
PLEASE SOMEONE ANSWER
I would say -2
Step-by-step explanation:
HELP ASAP pls!just say wether there positive or negative
Answer:
Line 1 = Negative
Line 2 = Zero
Line 3 = Positive
Line 4 = Undefined
Step-by-step explanation:
Line 1's gradient is negative since it's sloping down.
Line 2's gradient stays at 0 since it does not go upwards or downwards.
Line 3's gradient is positive since it's tilting upwards.
Line 4's gradient is undefined since the line shoots up on the same point on the x-axis so the gradient cannot be determined by a single rational number.
A).18
B.)20
C.)24
D.)25
Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB? in/n win 0 Nin inn?
Answer:
2/5
Step-by-step explanation:
you have to do slope formulation which is y2 minus y1 over x2 minus y1
Answer:
C: 2/5
Step-by-step explanation:
how because its me i'm always right
WHICH TABLE IS A FUNCTION?
TABLE A
TABLE B
NEITHER
BOTH
Answer:
I honestly think its neither
y varies inversely with x if y = 7 when x =-4, find y when x = 5
Answer:
y = - [tex]\frac{28}{5}[/tex]
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 7 when x = - 4, then
7 = [tex]\frac{k}{-4}[/tex] ( multiply both sides by - 4 )
- 28 = k
y = [tex]\frac{-28}{x}[/tex] ← equation of variation
When x = 5 , then
y = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]
A water park sells
168
168 tickets. Each ticket costs
$
12
$12. What is the total cost of the tickets sold?
Answer:
168x12 and u get ur answer
Step-by-step explanation:
just do 168x12
if it sells 168 tickets and each is $12, then:
12 x 168 = 2,016
total cost = $2,016
How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth.
18.8 cubic inches
21.2 cubic inches
28.2 cubic inches
49.5 cubic inches
Answer: option b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Courtney belongs to a health club that charges a monthly fee of $20, plus $85 to join. Write a function to represent her costs. How much has she paid after six months?
Answer:
Step-by-step explanation:
20x+85=
20(6)+85=
120+85= $205