Step-by-step explanation:
of course, we have to use Pythagoras.
c² = a² + b²
c is the Hypotenuse = the side opposite of the 90° angle.
and here is the problem : are 9 and 12 the legs. or is one of them the Hypotenuse ?
I don't know from the description.
let's see what we get one way or the other :
assumption : the known sides are the "legs".
c² = 9² + 12² = 81 + 144 = 225
c = 15 ft
that is a nice number. so, it looks like that was the intention.
just to be sure, here also the other options :
9² = 12² + side²
81 = 144 + side² that makes side² negative, so, not valid.
12² = 9² + side²
144 = 81 + side²
63 = side²
side = sqrt(63) this is not a nice round number, so, we go with the first option.
therefore, the 3 sides are
9 ft, 12 ft, 15 ft
perimeter = 9+12+15 = 36 ft
area = baseline×height/2
since this is a right-angled triangle, the "legs" with the enclosed 90° angle serve as baseline and height.
area = 9×12/2 = 9×6 = 54 ft²
Help me please, thank you very much.
Answer:
8.9274
Step-by-step explanation:
you need to square both sides then add it together and then find the square root of the new number
What percent of 38 is 12
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]\frac{38}{100} (12)[/tex]
[tex]=(\frac{38}{100} )(\frac{12}{1} )[/tex]
[tex]=(\frac{19}{50} )(\frac{12}{1} )[/tex]
[tex]=\frac{(19)(12)}{(50)(1)}[/tex]
[tex]=\frac{228}{50}[/tex]
[tex]=\frac{114}{25}[/tex]OR[tex]4.56[/tex]
ANSWER:
[tex]\frac{114}{25}, OR: 4.56[/tex]
Hopefully, this helps you!!
[tex]Sokka[/tex]
Mr.Plump lost 30 pounds from his original weight of 240 pounds. What percent weight loss did her achieve?
Answer:
12.5%
Step-by-step explanation:
I divided 30 (the amount he lost) by 240 (his original weight). I get 0.125, but need to move the decimal over 2 places to get the percentage.
20 POINTS AND BRAINLIST! WILL BE GIVEN!!
complete the following statements.
<1 and <5 are remote interior angles of <4.
_ and _ and are remote interior angles of <6.
_ and _ are remove interior angles of <2.
The sum of the remote interior angles are equal to the exterior angles.
The completed statements are;
∠1 and ∠3 are remote interior angles of ∠6
∠3 and ∠5 are remote interior angles of ∠2
Reasons:
Remote interior angles are the angles that are not on the same vertex as an exterior angle
The remote interior angles of ∠4 are ∠1 and ∠5
Similarly, we have;
∠1 and ∠3 are remote interior angles of ∠6
∠3 and ∠5 are remote interior angles of ∠2
Learn more about the exterior and interior angles of a triangle here:
https://brainly.com/question/8797215
4,6,9,...
Find the 8th term.
Find the 8th term.
Answer:
4, 6, 9, 12, 15, 18, 21, 24.
Step-by-step explanation:
The 8th term is 24.
just +2 (add 2) every time.
Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form.
64,16,4,…
This is a (geometric/arithmetic) sequence and the (common ratio/common difference) is equal to ____.
Step-by-step explanation:
this is clearly not a linear sequence (the terms don't have the same difference).
so, it has to be a geometric sequence.
the common ratio is r.
s2 = s1 × r
16 = 64 × r
r = 16/64 = 1/4
control :
s3 = s2×r
4 = 16 × 1/4 = 4
correct.
Common ratio is 1/4
What is geometric progression ?A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:
a, ar, ar2, ar3, ar4, and so on.
Where a is the first term and r is the common ratio.
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4
gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]
Hence, common ratio r = 1/4
To learn more about the geometric progression here:
https://brainly.com/question/29657988
#SPJ7
A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads
105/2^9
Step-by-step explanation:
The probability of getting a head in a single toss
p=12
The probability of not getting a head in a single toss
q=1−12=12
Now, using Binomial theorem of probability,
The probability of getting exactly r=4 heads in total n=10 tosses
=10C4(1/2)4(1/2)10−4
=10×9×8×7/4! 1/2^4 1/2^6
=2^44⋅9⋅35/24(2^10)
=105/2^9
Answer:
P = 0.205 (20.5%)
Step-by-step explanation:
[tex]f(x)=(10nCr4)(.5)^{4} (.5)^{6} =(210)(0.0625)(0.015625)=0.205[/tex]
Hope this helps
The solution is -1/2.
Which multiplication equation has the given solution?
Answer:
5x=-(5/2) ~~ first choice
Step-by-step explanation:
divide both sides by 5
-> x=(5/2)/5
simplify the above
-> x = - (5/2x5)
simplify
-> x = -(5/10)
simplify and solve
=> x = - 1/2
(basically trial and error)
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
m=3/2
Step-by-step explanation:
Two points are shown
point 1: (0;-3). 4;3. -2-6
point 2: (2;0)
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{0 - ( - 3)}{2 - 0} [/tex]
[tex]m = \frac{3}{2} [/tex]
subtract the sum of h and 6 from 4
If you will subtract 5.789 from 56.1, what is the difference?
Answer:
50.311
Step-by-step explanation:
For what value of x does 32X – 9^3x-4?
Answer: X = 4/61
Step-by-step explanation
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in Company A has increased 20% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Step-by-step explanation:
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in Company A has increased 20% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
The perimeter of a rectangular is 306 centimeters of the length of the painting is 94 centimeters what is the width
Answer:
59 centimeters
Step-by-step explanation:
WILL MARK BRAINLIEST!!!
PLEASE HELP AND NO LINKS
Answer:
1000 = 450 + 50w
Step-by-step explanation:
She starts with $450 so that is why you add it. The amount she started with will not change.
She earns $50 per week so you add 50 multiplied by the number of weeks she works.
You do this until it equals 1000
B. Direction: Rewrite the each of the following using EXPONENTS.
Example: Two to the seventh power =2⁷ 7 × 7 × 7 = 7³
5) six with the exponent
6) 10 × 10 × 10
7) 3 × 3 × 3 × 3
5) 6 with the exponent.
6 can be with any exponent (since you haven't given it) like, 6¹, 6², 6³, 6⁴ etc. But, since the value is not given..it'll most probably be 6¹.
6) 10 × 10 × 10 = 10³
7) 3 × 3 × 3 × 3 = 3⁴
_____
Hope it helps ⚜
the length of a rectangular house is two and a half times its width. Solve the problem using x to denote the shorter side of the rectangle.
a) construct the expression for the area or the rectangle in terms of x
b) calculate the area if x=32 feet
answer
a.) y=2.5x
area=2.5x^2
b.)2560
Step-by-step explanation:
a. The construct the expression for the area of the rectangle in terms of x is y=2.5x
b. The area should be 2,560.
Given that,
the length of a rectangular house is two and a half times its width.Based on the above information, the calculation is as follows:
a) The expression should be y = 2.5x
b) The area should be
[tex]=2.5x^2\\\\= 2.5(32)^2[/tex]
= 2560
Learn more: https://brainly.com/question/1301963?referrer=searchResults
Yep me pls thanks you so much
Answer:
32
Step-by-step explanation:
To solve, simply put 4 in place of x. 8 times 4 is 32
Suppose X ~ N(6.5, 1.5), and a
3.5. Find and interpret the Z-score of the standardized normal random variable.
Answer:
Step-by-step explanation:
find the unknown angle can someone help me pls what is this how do i even find the unknown angle
Answer:
1 135
2 45
3 135
4 45
Step-by-step explanation:
think in terms of supplimentary angles. those that add up to 180
Find the slope of the line that goes through the points (-4,4) and (4,6)
Answer:
1/4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-4)/(4-(-4))
m=2/(4+4)
m=2/8
m=1/4
Estimate the product of 54 X 68.
Answer:
54 X 68=3672
Step-by-step explanation:
Simplify the expression 7h+(−8.3d)−13+6d−2.9h.
Answer:−2.3d+4.1h−13
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. Find the missing side length, x. 18° 18° 20 B D The value of the missing side length labeled as x is _____
Answer:
7.2
Step-by-step explanation:
20/12 = 12/x
20x = 144
x = 144/20
x = 7.2
Check to make sure your answer is right:
20/12 = 1.66666666667
12/7.2 = 1.66666666667
Simplify the expression.
−6−7
Answer:
-13
Step-by-step explanation:
subtract 7 from -6
Answer: -13
Step-by-step explanation: When you have two numbers with negative signs, you add them but you keep the negative sign.
Therefore, -6-7 = -13
For the future, know these rules for signs when adding, subtracting, dividing and multiplying:
When adding two negative numbers, you add but keep the negative sign like in the above problem.
When adding a positive and negative, you subtract but keep the sign of the highest number. Example: -4+9 = 5 or -11+3 = -8.
When multiplying two negatives or positives numbers, the answer will be positive. When multiplying negatives x positive = negative.
The same applies to division. (-)/(+) = (-) or (+)/(-) = (-)
(-)/(-) = (+)
Hope this explanation and rules help.
What is the prime factorization of 24?
1. 2x2x2x3
2. 2x2x3
3. 8x3
4. 6x4
Answer:
1. 2x2x2x3
Step-by-step explanation:
Let's do process of elimination.
2. 2x2x3
2x2=4 4x3=12
2 is false.
3. 8x3
8x3=24
3 is true, but 8 is not a prime number.
4. 6x4
6x4=24
4 is true, but 6 is not a prime number.
This leaves 1. 2x2x2x3.
1. 2x2x2x3
2x2=4 2x3=6 6x4=24
1 is true, and 2 and 3 are prime numbers. So, the answer is 1.
-hope it helps
Answer:
1. 2x2x2x3
Step-by-step explanation:
Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.
[tex]24\:\mathrm{divides\:by}\:2\\\\\quad \:24=12\cdot \:2[/tex]
[tex]12\:\mathrm{divides\:by}\:2\\\\\quad \:12=6\cdot \:2[/tex]
[tex]6\:\mathrm{divides\:by}\:2\quad\\\\ \:6=3\cdot \:2[/tex]
[tex]2, 6\:\mathrm{divides\:by}\:2\quad \\\\\:6=3\cdot \:2[/tex]
2+2 (I have been having a lot of trouble on this
Answer:
it's 4
Step-by-step explanation:
I hope it helps .....
Answer:
4
Step-by-step explanation:
2+2=4
I'll give a real world problem to help you understand. So pretend that you have 2 cookies on your plate and your sibling has 2 cookies on their plate too. If your siblings gives you their 2 cookies and you add them to your plate, how many cookies are on your plate now? There should now be 4 of them!
Does this help?
use technology to find points and graph the line x - 3y = -6
Given the equation y=|x| complete the table of values
Answer:
2,1,0,1,2
Step-by-step explanation:
Can u help me w this
Answer:
a) 15, b) 36
Step-by-step explanation:
Answer:
a is 15, b is 6
Step-by-step explanation:
a. 5x+3=17. subtract 3 on both sides then u get 5x=14 then you simply by dividing by 5 on each side which gives you x= 14/5 = 2.5 so ..... 5x+1= 15
b. first you rearrange the terms to -3y+5=6, then you subtract 5 from each side so it's 3y = 1. then divide both of the equation by the same term ( -3) to get y= -1/3. so 5 - 3y² = ..... 3× -1/3 = -1 and -1² = -1 so 5 - (-1) = 6