Help me out thank youuuu sooo much !!!
Answer/Step-by-step explanation:
There are actually two methods that can be used to calculate AC (x):
1. Using Pythagorean Theorem
2. Using Trigonometric Function
1. Using Pythagorean Theorem, we have:
x = √(15² + 20²)
x = √625
x = 25 units
2. Using Trigonometric Function:
Reference angle = 37°
Adjacent = 20
Opposite = 15
Hypotenuse = x
Apply SOH:
Sin 37 = Opp/Hyp
Sin 37 = 15/x
x × Sin 37 = 15
x = 15/sin 37
x = 24.9246021 ≈ 25 units (nearest whole number)
All trapezoids have one right angle?
Answer:
a trapezoid can have either 2 right angles or no right angles at all
Step-by-step explanation:
let: f(x)=x+1 and g(x)=x^2-2
find: g(x) - f(x)
Answer:
x^2-x-3
Step-by-step explanation:
x^2-2-x-1
x^2-x-3
I’ll give brainliest these shouldn’t be too hard
Answer:
9# 415 10# 2 hotdogs and one hamburger
Step-by-step explanation:
Hope this helps!!!
have a great day!
A study of malaria transmission in Africa tested whether drinking beer increased attractiveness to mosquitoes. Yes, this is a real story (Lefevre et al. 2010. PLOS One5:e9546), and for simplicity I have changed some details from what they actually did. The researchers opened a container of 50 mosquitoes and looked at what proportion of the 50 mosquitoes left the container and flew towards the volunteer person. They did this experiment with 30 persons and each person was tested twice, once before they drank anything and then (an hour later) after they had consumed a beer. Assuming that the proportions of mosquitoes are normally distributed and the variances are similar, what would be the best test to see if more mosquitoes are attracted to people after drinking a beer
Answer:
The best test to see if more mosquitoes are attracted to people after drinking beer is the z-test for the difference in proportion of two populations
Step-by-step explanation:
The study tested if drinking bear increases the attractiveness to mosquitoes
The number of people the taking part in the study, n = 30 people
The total number of mosquitoes in the study = 50 mosquitoes
The proportion of mosquitoes flying to each volunteer is measured before and one hour after consuming bear
The mean number of mosquito flying towards a volunteer can be found by summing the other proportions that fly towards the 30 volunteers and dividing by n₁ = 30, before and n₂ = 30 after the respondents had bear to obtain [tex]\hat{p}_{1}[/tex] and [tex]\hat{p}_{2}[/tex]
Given that the variances are equal and the sum of the sample for the two tests, n₁ + n₂ = 60 > 30, it is, best to use the the z-test for the difference in proportion as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
Where the pooled mean, [tex]\hat p[/tex], is given as follows;
[tex]\hat p = \dfrac{n_1 \cdot \hat p_1 + n_2 \cdot \hat p_2}{n_1 + n_2}[/tex]
x-3=14 use the opposite operation found in the equation.
Step-by-step explanation:
x-3=14
x=14+3
x=17
verification
x(17)-3=14
17-3=14
14=14
The diameter of the circle shown below is 12m. What is the area of the circle
Answer:
The area of the circle is 113.097
Hope this helped!
Please give brainliest if it helped!
The area of a sector of a circle of radius 5
cm, formed by an arc of length 3.5 cm is
(a) 8 cm?
(b) 8.75 cm?
(c) 9.5 cm?
(d) 7.9 cm?
Answer:
A = 8.75 cm²
Step-by-step explanation:
Given that,
Radius, r = 5 cm
The arc length, l = 3.5 cm
We need to find the area of a sector. Let [tex]\theta[/tex] be the angle. So,
[tex]\theta=\dfrac{l}{r}\\\\\theta=\dfrac{3.5}{5}\\\\\theta=0.7\ rad[/tex]
The formula for the area of sector when [tex]\theta[/tex] is in radian is given by :
[tex]A=\dfrac{1}{2}\times \theta r^2\\\\A=\dfrac{1}{2}\times 0.7\times 5^2\\\\A=8.75\ cm^2[/tex]
So, the area of the sector is 8.75 cm².
Answer: (b)
Step-by-step explanation:
Given
the radius of circle r=5 cm
arc length [tex]l=3.5\ cm[/tex]
Arc length is also given by
[tex]l=\dfrac{\theta }{360^{\circ}}\times 2\pi r[/tex]
[tex]\Rightarrow 3.5=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 5\\\\\Rightarrow \theta =40.10^{\circ}[/tex]
Area of the sector is given by
[tex]\Rightarrow A=\dfrac{\theta }{360^{\circ}}\times \pi r^2\\\\\Rightarrow A=\dfrac{40.101^{\circ}}{360^{\circ}}\times 3.142\times 5^2\\\\\Rightarrow A=8.749\approx 8.75\ cm^2[/tex]
5k + 9 = 89.............
Answer:
k= 16
Step-by-step explanation:
89-9=80
80/5=16
16=k
Answer:
5k+9=89
5k=89-9
5k=80
k=16
If 15% of a number is 150, find 3% of that number.
Answer:
$50
Step-by-step explanation:
hoped I helped
and p.s. dont click the link
Answer:
the answer is 30
Plz answer correctly I will give brainliest and no virus links please I rlly need this answered
Answer: The blue circle is 62.83 and the orange is 31.42
Step-by-step explanation: Sorry if I got it wrong. But since the orange 5 cm and the blue (half) is 5cm, you add 10cm.
Find the are of the shape shown below
Answer:
32 units²Step-by-step explanation:
The figure is the trapezoid
Trapezoid area formula:
A = 1/2(b1 + b2)hSubstitute values and solve:
A = 1/2(12 + 4)*4 = 32 units²What steps are used to solve this equation? 2/7 Complete each statement First, y on both sides of the equation. Next, simplify the equation by The solution of the equation is Check the solution by substituting V 144 for x and simplifying.
Answer:
What steps are used to solve this equation? 2/7 Complete each statement First, y on both sides of the equation. Next, simplify the equation by The solution of the equation is Check the solution by substituting V 144 for x and simplifying.
Step-by-step explanation:
Next time, dont trust me to answer things correctly.
Answer:
C,A,D,D
Step-by-step explanation:
Can someone pls help me its due today and I don't know how to solve this! pls show work!
Answer:
x = 10
Step-by-step explanation:
Angles are congruent b/c of the corresponding angles thm
6x + 8 = 3x + 38
3x = 30
x = 10
given the qintic equation below, solve it to find the values of x. 2x^5_6x^3_4x^2_2x+4 =0
9514 1404 393
Answer:
x = {-0.5-√1.25, -0.5+√1.25, 2, -0.5+i√0.75, -0.5-i√0.75}
Step-by-step explanation:
I like to use a graphing calculator to find clues as to the roots of higher-degree polynomials. Here, we see that x=2 is the only real rational root. Dividing that out by synthetic division, we see the remaining quartic factor is ...
2x^5 -6x^3 -4x^2 -2x +4 = 0
2(x -2)(x^4 +2x^3 +x^2 -1) = 0
We can recognize that the quartic factor is actually the difference of two squares:
x^4 +2x^3 +x^2 -1 = (x^2 +x)^2 -1 = 0
So it resolves to two quadratic factors.
(x^2 +x +1)(x^2 +x -1) = 0
One will have real roots, as shown by the graph. The other will have complex roots.
x^2 +x + 1/4 = 1 +1/4 . . . . complete the square for the factor with real roots
(x +1/2)^2 = 5/4
x = -1/2 ± √(5/4) . . . . . . irrational real roots
__
x^2 +x = -1 . . . . . . . . . . the quadratic factor with complex roots
(x +1/2)^2 = -1 +1/4 . . . complete the square
x = -1/2 ± i√(3/4) . . . . irrational complex roots
__
In summary, the values of x that satisfy the equation are ...
x = 2
x = -1/2 ± √(5/4)
x = -1/2 ± i√(3/4)
Which expression represents the solution e^4x=10
Need help on this please
Answer:
64 pi
Step-by-step explanation:
Area of a circle is pi(r) ^ 2
The radius is half the diameter, so it would be 8 mi.
Pi ( 8 ) ^ 2
Pi ( 64 )
It would be 64 pi
what is the slope of the line
Answer:
3/2
Step-by-step explanation:
You were planning to spend $12 on a
pizza. Write and solve an inequality to represent
the additional amount you must spend to get
free delivery.
Answer:
x+12
Step-by-step explanation:
I belive some part of this may be missing. I feel like their should be more info maybe on how much you have to buy but this in general is technically correct. x is the amount you must spend to get free delivery + 12 bucks
how you would use the distributive property to expand 7(x + 4). I NEED HELPP
Answer:
7x+28
Step-by-step explanation:
7(x+4)
Use the distributive property to multiply 7 by x+4.
7x+28
Graph if needed:
just have a few more left!! please help yall
Answer:
this one (look attachment):
Help with this pls if you don’t know the answer please don’t answer
A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:y=x+5
Step-by-step explanation:
ANSWERRRRR????HELPP PSLSSSSS
Answer:
its sas side angle side plz mark me branliest
x + 10 < 78 find three numbers to make this question true
Answer:
Step-by-step explanation:
Let's solve your inequality step-by-step.
x+10<78
Step 1: Subtract 10 from both sides.
x+10−10<78−10
x<68
Answer:
x<68
Help me pls this is urgent ;>
Answer:
[tex] \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2[/tex]
What is the circumference of the circle?
circumference = 2*(22/7)*r^2
r=d/2
so answer is 103.62
Sue bought a six-month CD for $5000. She said that at maturity it paid $162.50 in interest. Assume that this was simple interest, and determine the APR.
Answer:
apr is 500
Step-by-step explanation:
im an idiot sorry for waisting your time
The annual percentage rate is 6.5%.
Given that,
Sue bought a six-month CD for $5000. She said that at maturity it paid $162.50 in interest.Based on the above information, the calculation is as follows:
[tex]= (162.50 \times 2 \times 100\%) \div \$5,000[/tex]
= 6.5%
Therefore we can conclude that the annual percentage rate is 6.5%.
Learn more: brainly.com/question/24169758
Help dudhfsdhdhdhhddh
Answer:
just multiply
76x475=36100 apples
Hertz and Enterprise are rental car companies. Hertz charge's $50 for the rental, plus $40 for each day. Enterprise charges $40 for the rental, plus $45 for each day. What is the first day that Enterprise will be more expensive?
Answer:
I believe it will be day 3
Step-by-step explanation:
Day 1 for Hertz starts at 90, while day 1 for enterprise is starting at 85
day 2 (H)
130
day 2 (E)
130
day 3 (H)
170
day 3 (E)
175