Answers
C represents the hypotenuse (the longest side) the one we are figuring out
Use Pythagorean theorem:
9^2 + 12^2 = c^2
81 + 144 = c^2
225 = c^2
(Square root both sides to get c by itself, by getting rid of the ^2 (the squared symbol))
The square root of 225 is 15, so,
15=c
Related Questions
The measures of two vertical angles are 29° and (2x + 3)º. Find the value of x .
Answers
Answer:
Vertical Angles!
Step-by-step explanation:
Very simple!
Vertical angles are a pair of angles that are equal in degree measure.
Essentially, they are equal to each other. Nothing more to it.
This means that [tex]29=2x+3[/tex]!
I presume you have done math before, so this solves to be: [tex]x=13[/tex]
(I don't have a degree sign, but it should be there in your answer.)
Hope this helps!
P.S. How's life?
Use the labled point to write a point slope form for the line
Answers
Answer:
The point-slope form of the line is y - 3 = -2(x + 2)
Step-by-step explanation:
The point-slope form of the equation of a line is
y - y1 = m(x - x1), where
(x1, y1) is a point on the linem is the slope of the lineThe rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line.Let us use these rules to solve the question
∵ (-2, 3) and (0, -1) are two points on the line
∴ x1 = -2 and y1 = 3
∴ x2 = 0 and y2 = -1
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{-1-3}{0--2}=\frac{-4}{0+2}=\frac{-4}{2}=-2[/tex]
∴ m = -2
→ Substitute the value of m and point (-2, 3) in the form of the
equation above
∵ m = -2 and (x1, y1) = (-2, 3)
∴ y - 3 = -2(x - -2)
→ Remember (-)(-) = (+)
∴ y - 3 = -2(x + 2)
∴ The point-slope form of the line is y - 3 = -2(x + 2)
If a seed is planted, it has a 95% chance of growing into a healthy plant. If 10 seeds are planted, what is the probability that exactly 2 don't grow?
Answers
Answer:
The probability that exactly 2 don't grow is 0.075 or 7.5%
Step-by-step explanation:
Binomial Distribution
Let's consider a random experience with only two possible outcomes. Call p to the probability that the event has a successful outcome and q to the unsuccessful outcome.
It's clear that p+q=1, or q=1-p.
Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the following formula:
[tex]\displaystyle P_{x} = {n \choose x} p^{x} q^{n-x}[/tex]
Where
[tex]\displaystyle {n \choose x}[/tex]
Is the number of combinations:
[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]
For the problem to solve, each seed has a p=0.95 probability of growing into a healthy plant. The value of q=1-0.95=0.05.
The experience is repeated n=10 times and we want to estimate the probability that 2 of them don't grow. Note this last data is not directly the value of x because it's not related to success but with no success. The value of x is x=10-2=8. That means, 8 out of 10 seeds grow.
Apply the formula:
[tex]\displaystyle P_{8} = {10 \choose 8} \cdot 0.95^{8} \cdot 0.05^{10-8}[/tex]
[tex]\displaystyle P_{8} = 45\cdot 0.95^{8} 0.05^{2}[/tex]
[tex]\displaystyle P_{8} = 0.075[/tex]
The probability that exactly 2 don't grow is 0.075 or 7.5%
k(x) = 6x – 12; k(x) = 18
Answers
Answer:
x=5
Step-by-step explanation:
k(x)=6x–12
18=6x–12
18+12=6x
30=6x
30/6=6x/6
x=5
i think it is clear answer.
7. In January, a small business had a profit of $6. In
February, the company lost $9. What was the
company's total profit or loss for January and February?
Answers
Answer:
The company lost 3 dollars
9-6= (-3)
Step-by-step explanation:
plot the x intercepts,maxima and minima of y=cos(x) from 0 to 2pi
Answers
Answer:
Figure of the function is included below as attachment.
Step-by-step explanation:
Let [tex]y = \cos x[/tex]As first step we have to find x intercepts, maxima and minima from 0 to 2π, which are needed to plot given function. Cosine is a trigonometric function bounded between -1 and 1 with a periodicity of 2π.
x-Intercepts
x-intercepts are those points of the function such that [tex]y = 0[/tex]. That is:
[tex]\cos x = 0[/tex]
In this case, there is a periodicity of π for [tex]y = 0[/tex]. The x-intercepts are in the following set:
[tex]S = \{\forall\,x\in\mathbb{R}|x=0.5\pi\pm\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]
Maxima
Maxima are those points of the function such that [tex]y = 1[/tex]. That is:
[tex]\cos x = 1[/tex]
In this case, there is a periodicity of 2π for [tex]y = 1[/tex]. Maxima are in the following set:
[tex]S = \{\forall\,x\in\mathbb{R}|x=0\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]
Minima
Minima are those points of the function such that [tex]y = -1[/tex]. That is:
[tex]\cos x = -1[/tex]
In this case, there is a periodicity of 2π for [tex]y = -1[/tex]. Minima are in the following set:
[tex]S = \{\forall\,x\in\mathbb{R}|x=\pi\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]
Lastly, we proceed to plot the function as well as its x-intercepts, maxima and minima with the help of a plotting tool.
tan(43)-tan(13)/1+tan(43)tan(13)
Answers
Answer:
tan(13)-tan(2)
Step-by-step explanation:
= Monthsarry namin ng bebe ko
a product p and six is wrtten as
Answers
Answer:
6p
Step-by-step explanation:
Answer: 6p
Explanation: The word "product" is a
keyword that tells us to use multiplication.
So your answer can be written as 6 · p or just 6p.
Don't write your answer as p6.
Even though it's technically correct, I would always put
the number before the variable as a matter of form.
Please help me answer this <3
Answers
Answer:
x = 30
Step-by-step explanation:
15 = 1/2x
multiply both sides of equation by 2
30 = x
Multiply using cancellation:
2/50 x 5/18 =
3/4 x 4/9 =
7/8 x 2/5 =
HELP PLEASE!!!!!!
Answers
Answer:
This is how you simplify them
Step-by-step explanation:
1) 1/90
2) 1/2
3) 7/20
Solve the inequality. 1 2 (8x − 4) − 2 3 (9x + 6) ≤ 9 The solution is .
Answers
Answer:
[tex]x\geq-1.\overline{756}[/tex]
Step-by-step explanation:
[tex]1 2 (8x -4) -23 (9x + 6)\leq 9\\\\96x-48-207x-138\leq9\\\\(96-207)x+(-48-138)\leq9\\\\-111x-186\leq9\\\\-111x\leq9+186\\\\-111x\leq195\\\\111x\geq-195\\\\x\geq\frac{-195}{111}\\\\x\geq-\frac{65}{37}\\\\x\geq-1.\overline{756}[/tex]
Rectangle a measures 9 inches by 3 inches. Rectangle b is a scaled copy of rectangle a .select a set of measurement pairs that could be the dimensions of of rectangle b
Answers
Answer:
Dimensions of Rectangle B will be 9x inches by 3x inches where x is a scaling factor.
Step-by-step explanation:
Scaled Copy: It means that the rectangle A is related to rectangle B by some scaling (multiplying) factor x.
As we are given Dimensions of rectangle A = 9 inches by 3 inches
Then for any scaling factor x the dimensions of rectangle B will be:
Dimensions of Rectangle B = x * ( Dimensions of rectangle A)
Dimension of rectangle B = x * (9 inches by 3 inches)
Dimensions of rectangle B = 9x inches by 3x inches
For more understanding let we assume that rectangle B is scaled copy of rectangle A by scaling factor x=3; then we will have the dimensions of rectangle B as under:
For scaling factor (x) = 3;
Dimensions of Rectangle B = x * ( Dimensions of rectangle A)
Dimensions of rectangle B = 3 (9 inches by 3 inches)
Dimensions of rectangle B = 27 inches by 9 inches
On the other hand for scaling factor x=0.75, the dimensions of rectangle B will become as under;
Dimensions of Rectangle B = x * ( Dimensions of rectangle A)
Dimensions of rectangle B = 0.75 (9 inches by 3 inches)
Dimensions of rectangle B = 6.75 inches by 2.25 inches
Dancing Pools sells swimming pools in 4 sizes. The small pool is 72 feet long and 16 feet wide. The medium pool is 80 feet long and 18 feet wide. The large pool is 88 by 20. If the new superduper Coffeetable pool is 96 feet long, how wide will it be?
A 28 feet wide
b 22 feet wide
c 24 feet wide
d 26 feet wide
Answers
Answer:
b
Step-by-step explanation:
Answer:
B. 22 feet.
Step-by-step explanation:
The width is adding 2 feet for every time the length is adding 8 feet. So, 88+8=96, and 20+2=22.
Finish this for points fractions to decimals
Answers
1: 0.7142857143
2: 0.04761904762
3: 0.2142857143
4: 0.8666666667
5: 0.2727272727
6: 0.3888888889
7: 0.3333333333
8: 0.4444444444
9: 0.3333333333
10: 0.3571428571
11: 0.36
12: 0.8
13: 0.2307692308
14: 0.875
15: 0.8
16: 0.04761904762
What is the factored form of the polynomal? x2-12x+27
o (x+4)(x+3)
o (x-4)(x+3)
o (x+9)(x+3)
o (x-9)(x-3)
Answers
Answer:
The answer is [tex](x-9) (x-3)[/tex].
Step-by-step explanation:
This is because when you multiply them together you get
[tex]x^{2}[/tex], [tex]-9x[/tex], [tex]-3x[/tex], and [tex]27[/tex]
When you add the like terms you get,
[tex]x^{2} - 12x +27[/tex]
3. What is the y-intercept of the line
5x – 3y = 15? Write your answer as an ordered
pair.
Answers
Answer:
(0, -5)
Step-by-step explanation:
For Y-intercept: put X = 0
5x-3y=15
-3y=15-5x
3y=-15+5x
y=-5+5/3x
y=5/3x-5
Amanda wrote a list that contained only multiples of 16. Which of the following lists could be Amanda’s list?
Question 2 options:
{1, 2, 4, 8, 16}
{16, 32, 48, 64, 80}
{16, 32, 42, 64, 84}
{4, 8, 12, 16, 20, 24, 28}
Answers
Answer:
2nd answer. (16,32,48,64,80)
Step-by-step explanation:
What is the solution to the inequality?
Answers
Answer:
B.
Step-by-step explanation:
-6<x<6
Mr. Tonroy hired Michael to make balloon animals for the children who visited a carnival. Michael was paid a base fee of $100.00 plus a fee of $1.50 per balloon animal made. If Michael was paid $295.00, how many balloon animals did Michael make?
Answers
Answer:
130 balloons
Step-by-step explanation:
5. The list of ordered pairs below represents a function: (12, 6), (3, 1), (2,-2), (5, 10), (-8,-4) Which of the following could be the missing ordered poin? 8. A. (21) B. (12,7 C.-8. B D.-3.-4 will mark brainiest answer us not b
Answers
Answer:
21
Step-by-step explanation:
just took the test
Answer
I believe D or C
Step-by-step explanation:
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
Complete the table for this equation
Answers
Answer:
x=2
y= -4/3
y=2/3
x=-4
Step-by-step explanation:
4x-6(0)=8
4x-0=8
4x=8
x=2
4(0)-6y=8
0-6y=8
-6y=8
y=-4/3
4(3)-6y=8
12-6y=8
-6y=-4
y=2/3
4x-6(-4)=8
4x+24=8
4x=-16
x=-4
The mass of a substance is 8×10⁹ micrograms. If one microgram is equal to 0.000001 grams, what is the substances mass in grams written in scientific notation?
Answers
Answer:
The mass of the substance is [tex]\mathit{8\cdot 10^{3}}[/tex] grams.
Step-by-step explanation:
Scientific Notation
The mass of a substance is [tex]8\cdot 10^9[/tex] micrograms and one microgram is 0.000001 grams.
This last unit needs to be expressed in scientific notation:
[tex]0.000001 grams = 1\cdot 10^{-6}[/tex]
The mass of the substance in grams is calculated by:
[tex]8\cdot 10^9 * 1\cdot 10^{-6}[/tex]
Multiply the magnitudes and add the exponents:
[tex]8\cdot 10^9 * 1\cdot 10^{-6}=8\cdot 10^{-6+9}=8\cdot 10^{3}[/tex]
The mass of the substance is [tex]\mathbf{8\cdot 10^{3}}[/tex] grams.
solve 86.5=2l+2(2l-40.75)
Answers
Answer:
[tex]86.5=2l+2(2l-40.75)\\86.5=2l+4l-81.5\\6l=86.5+81.5\\6l=168\\l=28[/tex]
l=28
The customer Karen has a white rock. The rock has a mass of 14.3g and a volume of 3.2cm3. What is the density of the rock?
Answers
Answer:
The answer is 4.47 g/cm³Step-by-step explanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\[/tex]
From the question
mass = 14.3 g
volume = 3.2 cm³
We have
[tex]density = \frac{14.3}{3.2} \\ = 4.46875[/tex]
We have the final answer as
4.47 g/cm³Hope this helps you
Answer:
The answer is 4.47 g/cm³
Step-by-step explanation:
What is StartFraction 5 Over 8 EndFraction divided by One-fourth?
Answers
Answer:
[tex]\frac{5}{2}[/tex] improper fraction or [tex]2\frac{1}{2}[/tex] mixed number
Step-by-step explanation:
To find the answer you would need to do [tex]\frac{5}{8}[/tex] divided by [tex]\frac{1}{4}[/tex]
Hope this helps!
The division of the fraction numbers 5/8 and 1/4 in the decimal form will be 2.5.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
5/8 and 1/4
Then the division of the numbers 5/8 and 1/4 will be given by putting a division sign between them. Then we have
⇒ (5/8) ÷ (1/4)
⇒ (5/8) x (4)
⇒ 5/2
⇒ 2.5
The division of the fraction numbers 5/8 and 1/4 in the decimal form will be 2.5.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Please Help! FAST! Multiple Choice! Brainlest!
Answers
Answer:
B is the answer
Step-by-step explanation:
the rulers at store a cost much
Andrew has 30 rocks. He has 10 more rocks then Amanda. He has 15 fewer rocks then Rob. How many rocks does each person have?
Answers
Answer:
Amanda has 20, Rob has 45
Step-by-step explanation:
Amanda has ten fewer rocks than Andrew, 30-10=20
Rob has 15 more rocks than Andrew, 30+15=45
Please answer this as fast as you can.
Answers
A test has been developed to detect a particular type of arthritis in individuals over 50 years old. From a national survey it is known that approximately 10% of the individuals in this age group suffer from this form of arthritis. The proposed test was given to individuals with confirmed arthritics disease, and a correct test result was obtained in 85% of the cases. When the test was administered to individuals of the same age group who were known to be free of the disease, 4% were reported to have the disease. What is the probability that an individual has this disease given that the test indicates its presence
Answers
Answer:
The probability that an individual has this disease given that the test indicates its presence is 0.1
Step-by-step explanation:
Let A be the event which indicates Having disease
Let B be the event in which test indicates that disease presence
Now we are given that 10% of the individuals in this age group suffer from this form of arthritis
So, P(A)=0.1
We are also given that the proposed test was given to individuals with confirmed arthritics disease, and a correct test result was obtained in 85% of the cases.
P(B|A)=0.85
Now we are given that. When the test was administered to individuals of the same age group who were known to be free of the disease, 4% were reported to have the disease
So,P(B|A')=0.04
We are supposed to find the probability that an individual has this disease given that the test indicates its presence i.e. P(A|B)
So we will use Bayes theorem
[tex]P(A|B)=\frac{P(B|A) P(A)}{\sum P(B|A) P(A)}[/tex]
[tex]P(A|B)=\frac{0.85 \times 0.1}{0.85 \times 0.1+0.85 \times 0.9}=0.1[/tex]
Hence the probability that an individual has this disease given that the test indicates its presence is 0.1
Please help it's due today!!!!!!
Answers
Answer:
See Below
Step-by-step explanation:
We are given 3 equations.
3x + 8
5x - 20
and
5x + 4y
First lets solve for x using the first two
3x + 8 = 5x -20
Move the variables to one side
3x + 8 = 5x -20
-3x -3x
8 = 2x -20
+20 +20
28 =2x
28/2 =2x /2
14 = x
Now we have x = 14
Lets plug this into the second equation to solve for the angle
3(14) + 8
42 + 8 = 50
5(14) - 20
70 - 20 =50
Now, lets plug the x and the angle into the third equation to find y
5 (14) +4y = 50
70 + 4y = 50
-70 -70
4y = -20
4y/4 = -20/4
y = -5
So now we have:
x = 14
y = -5
and the angle = 50
Hope this helps!