Answers
Answer:
a = 18 ft is the answer.
Step-by-step explanation:
a = ?
b = 24 ft
c = 30 ft
According to the Pythagoras theorem,
a² + b² = c²
a² + 576 = 900
a² = 900 - 576
a² = 324
a = 18 ft
∴ a = 18 ft is the length of the missing leg.
Answer:
18 feet
Step-by-step explanation:
The Pythagorean theorem is a formula that can be used to find the unknown side length of a right triangle when given the length of the other two sides. The general formula for the Pythagorean theorem is the following,
[tex]a^2 + b^2 = c^2[/tex]
Where (a) and (b) are the legs of the right triangle, or rather the sides adjacent to the right angle of the right triangle. Additionally, (c) is the hypotenuse or the side opposite the right angle of the right triangle.
Substitute in the given values and solve, let parameter (a) represent the unknown side of the triangle,
[tex]a^2 + b^2 = c^2\\[/tex]
Substitute,
[tex](24)^2 + a^2 = (30)^2\\[/tex]
Simplify,
[tex]576 + a^2 = 900[/tex]
Inverse operations,
[tex]576 + a^2 = 900\\-576\\\\a^2 = 324\\\sqrt{}\\\\a = 18[/tex]
Related Questions
Point Q is located at (-9, 10).
Where is Q' after a translation
4 units right and 11 units down?
Answers
Answer:
(-5, -1)
Step-by-step explanation:
Moving towards the right makes a number more positive for x and moving down makes numbers more negative for y
5/8 - 1/4 simplest form
Answers
Answer:
3/8
Step-by-step explanation:
5/8 - 1/4
L.C.M =8
5-2=3
=3/8
Given the function h(x) = 2.25x, find h(2)
Answers
Answer:
h(2)= 4.5
Step-by-step explanation:
h(x)=2.25x
h(2)=2.25(2)
= 4.5
Answer:
Hi! The answer to your question is 4.5
Step-by-step explanation:
To find h(2) we just have to find x in the equation and replace it with a 2
h(x)=2.25(2)
h(x)=2.25(2)=4.5
※※※※※※※※※※※※
⁅Brainliest is greatly appreciated!⁆
- Brooklynn Deka
Hope this helps!!
Use a formula to find the are.
Answers
What is another way to describe an equailteral triangel
A=acute
B=obtuse
C=right
D=scalene
Answers
Answer:
c
Step-by-step explanation:
5.5.3 Suppose X and Y have a bivariate normal distribution with , , , , and . Determine the following. Round your answers to three decimal places (e.g. 98.765). (a) Enter your answer in accordance to the item a) of the question statement (b) Enter your answer in accordance to the item b) of the question statement (c) Enter your answer in accordance to the item c) of the question statement
Answers
The question is incomplete. The complete question is :
Suppose X and Y have a bivariate normal distribution with [tex]$\sigma_X = 0.04, \sigma_Y = 0.08, \mu_X = 3.00, \mu_Y = 7.70$[/tex] and ρ = 0.
Determine the following. Round your answers to three decimal places (e.g. 98.765).
(a). [tex]$P(2.90 < X < 3.10) =$[/tex]
(b). [tex]$P(7.60 < X < 7.80) =$[/tex]
(c). P(2.90 < X < 3.10, 9.60 < Y < 7.80) =
Solution :
We have
[tex]$X \sim N (\mu_X=3, \sigma_X^2=0.04^2)$[/tex] and
[tex]$Y \sim N (\mu_Y=7.7, \sigma_Y^2=0.08^2)$[/tex]
a). The required probability is
[tex]$P(2.90 < X < 3.10) =$[/tex] [tex]$P\left(\frac{2.9-3}{0.04}< Z < \frac{3.1-3}{0.04}\right)$[/tex]
= P(-2.5 < Z < 2.5) = P(Z < 2.5) - P(Z < -2.5)
= P(Z < 2.5) - [1-P(Z < 2.5)]
= 2P(Z < 2.5) - 1
= 2(0.99379) - 1
= 0.98758
≈ 0.988
b). The required probability is
[tex]$P(7.6 < X < 7.8) =$[/tex] [tex]$P\left(\frac{7.6-7.7}{0.08}< Z < \frac{7.8-7.7}{0.08}\right)$[/tex]
= P(-1.25 < Z < 1.25) = P(Z < 1.25) - P(Z < -1.25)
= P(Z < 1.25) - [1-P(Z < 1.25)]
= 2P(Z < 1.25) - 1
= 2(0.89435) - 1
= 0.7887
≈ 0.789
c). Since, ρ = 0, so the X and Y are independent. Thus the required probability is :
P(2.90 < X < 3.10, 9.60 < Y < 7.80) = P(2.9 < X < 3.1) x P(7.6 < Y < 7.8)
= (0.98758)(0.7887)
= 0.77890
≈ 0.779
Express the confidence interval 0.777
ộHE = +0Answers
he response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population standard deviation is believed to be 3.2 minutes. The EMS director wants to perform a hypothesis test, with a .05 level of significance, to determine whether the service goal of 12 minutes or less is being achieved.
Answers
Answer:
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
The EMS director wants to service goal of 12 minutes or less is being achieved
Step-by-step explanation:
Step(i):-
Given that the size of the random sample = 40
Given that the mean of the sample (x ⁻) = 13.25
Given that the standard deviation of the Population = 3.2 minutes
Level of significance = 0.05
The mean of the Population (μ) = 12
Step(ii):-
Null hypothesis:-H₀: (μ) = 12
Alternative Hypothesis: H₁ : μ < 12
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]
Z = 2.5
The tabulated value Z₀.₀₅ = 1.96
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
Final answer:-
The EMS director wants to service goal of 12 minutes or less is being achieved
Which type of parent function does the equation f (x) = a represent?
Answers
Parent functions are the base function of a family function. [tex]f(x) = \sqrt x[/tex] is the parent function of the square root function
Given that:
[tex]f(x) = \sqrt x[/tex]
The parent function of a cube root function is:
[tex]f(x) = x^3[/tex]
The parent function of a reciprocal function is:
[tex]f(x) = \frac 1x[/tex]
The parent function of an absolute function is:
[tex]f(x) = |x|[/tex]
The parent function of a square root function is:
[tex]f(x) = \sqrt x[/tex]
By comparing the above parent functions to [tex]f(x) = \sqrt x[/tex], we can conclude that [tex]f(x) = \sqrt x[/tex] is the parent function of a square root function.
Hence, (d) is true
Read more about parent functions at:
https://brainly.com/question/17939507
I need help please.
Answers
Answer:
i think the anwser is 2
Step-by-step explanation:
Answer: 24 cubes
Step-by-step explanation:
Someone needs to hear this. So here it is. God will pull you through. You just need to have faith. You just have to keep going. Do not give up. Things will get better. What is important to you is important to the lord. So pray and He will listen.
Answers
Answer: thank you
Step-by-step explanation:
Answer:
Thanks!
Step-by-step explanation:
Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Answers
Answer:
Imaoo
Step-by-step explanation:
answer: C
Answer: Letsssss goooooo
the answer is 4y
dababy letssssssssssss gooooooooooooooooo
Step-by-step explanation:
Harmony thinks 448 is the solution to the equation 8b=56. is harmony correct? explain why or why not.
pls answer quickly my assignment is due tonight
Answers
The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
8b = 56
Simplify the equation, then we have
8b = 56
b = 56 / 8
b = 7
The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
What would be the final
price of a $59.99 video game
in a state that charges 6.5%
sales tax?
Answers
Answer:
$63.89
Step-by-step explanation:
just multiply 59.99 by 1.065
Please solve this system of equations.
5x-2y=9
12x-8y=4
Answers
Answer:
(4,11/2)
Step-by-step explanation:
5x-2y=9
12x-8y=4
A quick look will tell us that neither the x- nor the y- coefficient is the same in both equations, so combining the two by addition or subtraction. We can see that 2 is a multiple of 8, since 2 x 4 = 8. We should multiply the first equation by 4.
4(5x-2y=9)
Now we need to decide if we should add or subtract the equations.
20x-8y=36
12x-8y=4
Since we need to have a -8 and a +8 to eliminate the variables, we should subtract them. Change all the signs of the second equation and combine.
20x-8y=36
-12x-8y=4
----------------
8x=32
Divide both sides by 8 to get the x-value:
[tex]\frac{8x}{8} = \frac{32}{8}[/tex]
x=4
Now that we have our x-value, we need to plug in the y-value.
5x-2y=9
5(4)-2y=9
20-2y=9
-2y=-11
y=11/2
So our solution is (4,11/2)
Let's check our work.
5x-2y=9
5(4)-2(11/2)=9
20-22/2=9
20-11=9
9=9
12x-8y=4
12(4)-8(11/2)=4
48-88/2=4
48-44=4
4=4
Our solution is correct.
Answer:
x=4,y=11/2
Step-by-step explanation:
5x−2y=9
12x−8y=4
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
5x−2y=9,12x−8y=4
To make 5x and 12x equal, multiply all terms on each side of the first equation by 12 and all terms on each side of the second by 5.
12×5x+12(−2)y=12×9,5×12x+5(−8)y=5×4
Simplify.
60x−24y=108,60x−40y=20
Subtract 60x−40y=20 from 60x−24y=108 by subtracting like terms on each side of the equal sign.
60x−60x−24y+40y=108−20
Add 60x to −60x. Terms 60x and −60x cancel out, leaving an equation with only one variable that can be solved.
−24y+40y=108−20
Add −24y to 40y.
16y=108−20
Add 108 to −20.
16y=88
Divide both sides by 16.
y=11/2
Substitute 11/2 for y in 12x−8y=4. Because the resulting equation contains only one variable, you can solve for x directly.
12x−8x11/2=4
Multiply −8 times 11/2.
12x−44=4
Add 44 to both sides of the equation.
12x=48
Divide both sides by 12.
x=4
The system is now solved.
x=4,y=11/2
if you answer this question get 100 point please answer
please answer
please answer
please answer
please answer
please answer
please answer
Answers
Answer:
READ
Step-by-step explanation:
A 1
B 3
3 4
2 2
5th grade math. correct answer will be marked brainliest
Answers
The graph of the function g(x) is a transformation of the parent function f(x)=x².
Which equation describes the function g?
a) g(x)=(x+4)²
b) g(x)=x²+4
c) g(x)=x²−4
d) g(x)=(x−4)²
Answers
Answer:
The answer is c)
Step-by-step explanation:
g(x)=x^2-4
A report summarized a survey of 2305 working adults (representative sample of all working adults). The report indicates that 484 of the working adults surveyed said they were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years. Obtain a point estimate for the population proportion of all working adults who very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years. Select the correct answer, including appropriate notation.
Answers
Answer:
The point estimate for the population proportion of all working adults who very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years is 0.21.
Step-by-step explanation:
Point estimate of a proportion:
The point estimate of a proportion, from a sample, is the sample proportion.
In this question:
2305 working adults, 484 said they were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years. This means that:
[tex]p = \frac{484}{2305} = 0.21[/tex]
The point estimate for the population proportion of all working adults who very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years is 0.21.
what sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum
Answers
Given:
Amount = 8700
Time = 3 years
Rate of interest = 24% per annum
To find:
The principal values.
Solution:
Formula for amount:
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting [tex]A=8700,r=24,t=3[/tex], we get
[tex]8700=P\left(1+\dfrac{24}{100}\right)^{3}[/tex]
[tex]8700=P\left(1+0.24\right)^{3}[/tex]
[tex]8700=P\left(1.24\right)^{3}[/tex]
[tex]8700=1.906624P[/tex]
Divide both sides by 1.906624.
[tex]\dfrac{8700}{1.906624}=P[/tex]
[tex]4563.0391729=P[/tex]
[tex]P\approx 4563.04[/tex]
Therefore, the principal value is about 4563.04.
find the volume of the cone. use 3.14 for pi. round decimal answers to the nearest tenth. diameter= 24ft height= 8ft
Answers
Volume of cone formula:
1/3 x radius^2 x 3.14 x height
Radius = 12
1/3 x 12^2 x 3.14 x 8 = 1205.76
You get your first job ever and they tell you that you will make $350.25 for 15 hours. How much money will you make working 40 hours?
Answers
A rectangular prism has a height of 5 meters a length of 8 meters and a width is 9 meters. What is the volume of the prism
Answers
9•5•8=360
The answer is 360
I solved the first 2 but can anybody finish it, please?
Answers
Answer:
125:200
Step-by-step explanation:
Answer:
the ratio 5 : 8
Which functions have removable discontinuities (holes)? Check all of the boxes that apply.
f(x)=x-1/x^2-1
f(x)=x^2-9/x^2+7x+12
f(x)=x^2+4x+4/x^2+2x-8
f(x)=x+7/x^2+5x-14
Answers
Answer:
A,B,D
Step-by-step explanation:
I just did it .
Answer:
It is correct, the answers are A, B and D.
Step-by-step explanation:
Edge 2021. Assignment.
What's The Strangest Thing In Your Refrigerator?
Answers
Answer:
a bottle of eye juice lol no explanation
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Answer:
2nd one is the answer
Step-by-step explanation:
Help- this is also due tomorrow-
Answers
Answer:
46
Step-by-step explanation:
I need Help please in this problem
Answers
Answer:
Answer the question yourself and stop being lazy!
Step-by-step explanation:
A family buys 4 airline tickets online. The family buys travel insurance that costs $19 per ticket. The total cost is $752. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answers
x would be multiplied by 19 then after it’s getting multiplied by 4.