Answer:
C) [tex]\sqrt{90}[/tex]
Step-by-step explanation:
VY = base and leg
XY = height and leg
VX = hypotenuse (c)
VY:
9 - 6 = 3
Solving for VX(c):
a² + b² = c²
3² + 9² = c²
9 + 81 = c²
c² = 90
c = [tex]\sqrt{90}[/tex]
Answer:The answer would be C 90
Step-by-step explanation:
The sum of −7 times a number and 8 times the sum of the number and 1 is the same as the number minus 7.
Answer:
n has no value.
There is no solution to this equation
Step-by-step explanation:
let n be the number
In pieces:
sum of the number and 1: (n + 1)
8 times the sum: 8(n + 1)
-7 times a number: -7n
sum of -7 times and...: -7n + 8(n + 1)
number minus 7: n - 7
the same as: =
All together:
-7n + 8(n + 1) = n - 7
-7n + 8(n+1)=n-7
-7n + 8n+8=n-7
0=-15
What is equivalent to -2(x-5)?
Answer:
-2x+10
Step-by-step explanation:
-2(x-5)
Distribute
-2*x -2*-5
-2x+10
Find cot theta if 180° < theta < 270° and cos theta = - sqrt 3/2
Answer:
cot theta = -√3
Step-by-step explanation:
we are given that cos theta = - √3/2 within the range 180° < theta < 270° and
since cos theta = adj/hyp
adj = - √3
hyp = 2
Get the opposite using the pythagoras theorem
hyp^2 = opp^2 + adj^2
2² = opp² + (-√3)²
4 = opp² + 3
opp² = 4-3
opp² = 1
opp = 1
tan theta = opp/adj
tan theta = - 1/√3
Recall that cot theta = 1/tan theta
cot theta = 1/(-1/√3)
cot theta = -√3
What type of angles are <5 and <6?
A. Vertical angles
B. Alternate exterior angles
C. Supplementary angles
D. Alternate interior angles
Answer:
C
Step-by-step explanation:
Supplementary angles because their sum is 180 degrees
Kathy bought 5 pencils for the price of $6.30. Which equation represents r, the cost, in dollars, of each pencil?
A.r=6.30+5
B.r = 6.30÷5
C.r=6.30×5
D.r=6.30−5
9514 1404 393
Answer:
B. r = 6.30÷5
Step-by-step explanation:
The cost per pencil is found by dividing the cost by the number of pencils.
Here, the cost is $6.30 and the number of pencils is 5. Then the cost per pencil (r) is ...
r = 6.30 ÷ 5
An equation is shown: a×b=c. Let c be an irrational number. What can be said about a and b?
Please help
if c is a irrational number that means a or b is also an irrational number or both of them are irrational numbers but they are different then each other
i hope that will help
There are two possible answers:
'a' is irrational and b is rational, OR'a' is rational and b is irrationalYou can only pick one of those two cases. In short, exactly one of the 'a' or b is irrational and the other is rational. Both 'a' and b cannot be rational together, and they both cannot be irrational together.
================================================
Explanation:
For a moment, let's say that 'a' and b are both rational numbers. This means they would be ratios of integers. So,
a = p/q
b = r/s
where p,q,r,s are integers. The denominators q & s cannot be zero.
Multiplying those rational numbers 'a' and b leads to
a*b = (p/q)*(r/s) = (p*r)/(q*s)
We get a result in the form of integer/integer. Recall that multiplying any two integers leads to some other integer. Since (p*r)/(q*s) is a ratio of integers, it is rational and that makes a*b = c to be rational. However, your teacher said that c is irrational which is the opposite of rational.
In short, if both 'a' and b are rational, then a*b = c is rational. This means we know for certain that both 'a' and b cannot be both rational for c to be irrational.
------------------------
Next, we'll consider 'a' and b to both be irrational. Is it possible to have a*b = c to be irrational as well? It depends.
If we have the following
a = sqrt(3)
b = sqrt(12)
then,
a*b = sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6
Showing that a*b is rational because 6 = 6/1 is a ratio of integers. This is a bit strange considering how 'a' and b themselves were irrational, but they led to a rational product.
This doesn't always happen since something like
sqrt(3)*sqrt(5) = sqrt(3*5) = sqrt(15)
is irrational. So if both 'a' and b are irrational together, then a*b could be rational or it could be irrational. We would need more information about the values of 'a' and b.
Therefore, we know that we can rule out the case that 'a' and b are irrational together.
------------------------
Lastly, we'll consider the case when one of 'a' or b is rational while the other is irrational. The order doesn't matter. So we'll make 'a' to be irrational and b to be rational.
Since b is rational, this means b = p/q for some integers p,q where q is nonzero. The value of 'a' cannot be written as a ratio like this because it is irrational.
Multiplying any nonzero rational number with an irrational one always leads to an irrational result. If a*b was rational, then we could say
a*b = r/s
a*(p/q) = r/s
a = (r/s)*(q/p)
a = (r*q)/(s*p)
Showing that 'a' is rational, but this contradicts the fact we made 'a' to be irrational at the top of this section. Therefore, a*b is always irrational if exactly one of 'a' or b is irrational and the other is rational.
In other words, if,
'a' is rational and b is irrational, or'a' is irrational and b is rationalthen a*b = c is irrational
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the
same rate for the cost of one hot dog, how many more hot dogs would Winston need
to sell to earn a total of $175.00?
Show your work.
Answer:
He would need to sell 14 more hotdogs
Step-by-step explanation:
140/56= 175/x
140x= 9,800
x= 70
56-70= 14
Which expression has a value of 39?
A 24 X 2 - 8 + 42 divided by 8 - 6
B 24 X 2 - 8 + 42 divided by (8 - 6)
C 24 X (2 + 8) + 42 divided by 8 - 6
D 24 X 2 - (8 + 42) divided by 8 - 6
Answer:
A
Step-by-step explanation:
48 - 8 +5.25-6 = 39.25
b 48 -8 + 21 = 61
c 240+5.25-6= 239.25
d 48 -50/8 - 6 = 35.75
In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form.
b. Express the ratio 20cm to 15m in the form 1: n
c. Express the ratio 60 cm to 20 m in the form 1 : n
Answer:
Yes, because Gabriel is the swimming. He was in 2nd or maybe 10th.
Answer:
Step-by-step explanation:
can you please help me out if you know this answer
Step-by-step explanation:
A strike in bowling meant all 10 pins knocked down.
In this case, there is only 1 strike
Use the matrix tool to solve the system of equations. Choose the correct
ordered pair.
4x - 7y = -5
-6x+ 5y = 2
PLEASE HELP
Two numbers total 58 and have a difference of 8 . Find the two numbers.
Answer:
x = 33 , y = 25
Here's your solution
=> let both number be x and y
=> so, x + y = 58
=> x - y = 8
=> solving both equation { add both }
=> 2x = 66
=> x = 33
=> now putting value of x in equation
=> 33 + y = 58
=> y = 58 - 33
=> y = 25
hope it helps
The fifth graders all decided to have a race afterwords Kylie was so thirsty she drank 3 pints of water Valentina was also thirsty so she drank 24 fluid ounces of water who drank more water Kylie or Valentina?
Answer:
Kylie drank more water than Valentina
Step-by-step explanation:
I know that Kylie drank more water than Valentina.
I know this because I took 3 pints and found how many fluid ounces that would equal. 1 pint is equivalent to 16 fluid ounces. So, three pints would be equal to 48 fluid ounces. 16x3=48
Valentina drank 24 fluid ounces.
48 is greater than 24, so Kylie drank more water than Valentina.
Which system of equations has a solution of (-2,0,1)
The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The system of the equations that has a solution of (-2, 0, 1) will be
Let the number of variables be x, y, and z.
Then we have
Then the first equation will be
x + y + z = -1
Then the second equation will be
x + y + 2z = 0
Then the third equation will be
x + 2y + 3z = 1
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
Write the log equation as an exponential equation. You do not need to solve for x. log(5x+2)=3
Answer:
So happy you are with brainly
Step-by-step explanation:
34
16, 48,144,...
Find the 6th term.
Need help fast!! Need steps also
Answer:
arc AB = 3.14 in
Step-by-step explanation:
circumference of full circle = π2r = (3.14)(2)(6) = 37.68 in
arc AB = (30°/360°)(37.68) = 3.14 in
11-square root of x where x=64
Find the area of the parallelogram:
35 ft
A
24 ft
30 ft
Label your answer.
The area of the parallelogram is
Speedy crawled 5/9 yards. Slimy crawled 4 times as far as speedy. How far did slimy crawl?
Answer:
2 2/9 yards or 20/9 yards
Step-by-step explanation:
Slimy went 4 times as much as Speedy did so that means 5/9 x 4 yards which is the same thing as 5 x 4/9 so 5 x 4/9 equals 20/9 or 2 2/9 so Slimy crawled 2 2/9 yards.
Pay the bill using the fewest possible bills/coins
Answers:
Open the pdf below and youll find what you need. also do the largest bills you can.
multiply the binomials (2x+1)(3x+2)
The Answer is (6x^2+7x+2)
Use the FOIL method
Can somebody please help me with this ?
Answer:
8x, 2x^2, 6xy, 5y.
Step-by-step explanation:
Hello, 5x+3x would be 8x since 5+3 is 8. 7x^2-5x^2 would be 2x^2 since 7-5 is 2 (exponents stay the same). 2xy+4xy is 6xy since 2+4 is 6. Lastly, 8y-3y is 5y since 8-3 is 5.
about travels in the following path. How far north did it travel? Round your answer to the nearest 10th of a mile
Answer:
19.1 miles
Step-by-step explanation:
The situation given represents a right triangle.
Thus, we would use trigonometric function to find how far north the boat travelled.
Let's represent how far the boat travelled north with "x".
Thus:
Reference angle = 23°
Opposite = x
Adjacent = 45 miles
Apply TOA:
Tan 23° = Opp/Adj
Tan 23° = x/45
Multiply both sides by 45
45 × Tan 23° = x
x = 45 × Tan 23°
x = 19.1013667
x = 19.1 miles (nearest tenth of a mile)
The diagram shows the diameter of the opening
of a waffle ice cream cone.
18 cm
Which of the following is closest to the area of
the opening in square centimeters?
A.
1,017.88 cm2
C. 254.47 cm
B.
56.55 cm2
D. 28.27 cm2
I will give brainleist
Answers
D 36
Step-by-step explanation:
77 is the area for the squared trapezoid and 36 is the closest to 77
Express 1/3 as a repeating decimal and round to the nearest hundredth.
Answer:
1/3 is .333... so you can write .33.... or .33 with a line on top of the 3's
Step-by-step explanation:
.3 is in the tenths and .33 is in the hundredths place
The Athens-Clarke Country Wildlife Resource Center wanted to encourage wildlife preservation efforts among students in its summer camp. In the past, it would run a particular curriculum, then gauge students' interest in wildlife preservation in a test at the end of the camp. Historically, the average on this final test to gauge preservation interest was 35.3 (out of 100).
Last summer, the resource Center created a new curriculum focusing on campers interacting directly with wildlife to promote preservation efforts. This included efforts in species dentrication handling of wild animals, and directoration of animals in habitat The Resource Center considers the collection of 40 to be a random samping from the population of campers they will encounter They need your help to determine whether this new curriculum Improves impressions about witte preservation. For their 40 scores at the end of lut summer, they found a sample mean of 26.58 and a standard deviation of 3.18.
Required:
What are the null and alternative trypotheses?
Answer:
H0 : u ≤ 0.353
Ha: u > 0.353
Step-by-step explanation:
The null and alternate hypotheses are formulated by the given claim. The claim is mostly set as the alternate hypothesis and the opposite of the alternate hypothesis is the null hypothesis.
In this question the given statement is the average on this final test to gauge preservation interest was 35.3 (out of 100). This can be used as the null hypothesis.
H0 : u ≤ 0.353
The claim is also given which is To test whether the new curriculum Improves impressions about witte preservation.
against the claim Ha: u > 0.353
Therefore it will be a one tailed test.
Jenny is dog sitting for 13 dogs. One runs away, and she is not sure which one. There were 3 Labradors (L), 2 Golden Retrievers (G), 3 Dalmatians (D), 4 terriers (T), and 1 bulldog (B) in the original group.
What is the size of the population of dogs that could have run away from Jenny?
1
5
11
13
Answer:
5
Step-by-step explanation:
It is 5 because she originally had 13. There are 5 types of dogs she was dog-sitting. There are 5 possible types of dogs that ran away.
y is inversely proportional to the square of p, can be written as: y = O True O False
Answer:
False
Step-by-step explanation:
It should be ∝ .. if that’s what your asking
A 30-foot ladder was put up against a building. The ladder makes a 64° angle with the ground. How high up
on the wall does the top of the ladder reach?
Answer:
height = 26.96 feet
Step-by-step explanation:
sin 64° = height/30
0.8988 = height/30
height = 26.96 feet