Step-by-step explanation:
im not sure have a good day stay safe and get a good grade
Which expression represents the solution e^4x=10
A man who is 2m tall stands on horizontal ground 30m from a tree. The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the men eyes to the top of the tree
Answer:33.95 m
Step-by-step explanation:
Given
The height of the man is 2 m
Distance between man and tree is 30 m
the angle of elevation of the top from the eyes is [tex]28^{\circ}[/tex]
from the figure,
[tex]\Rightarrow \tan 28^{\circ}=\dfrac{h}{30}\\\\\Rightarrow h=30\tan 28^{\circ}=15.91\ m[/tex]
Using Pythagoras we can write
[tex]\Rightarrow AD^2=ED^2+AE^2\\\Rightarrow AD^2=30^2+15.91^2\\\Rightarrow AD=33.95\ m[/tex]
Thus the distance between the men eyes to the top of the tree is 33.95 m
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]
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Answer:
just multiply
76x475=36100 apples
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
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
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:
w^2 + 2 + 48 divided by 2z. If w = 5 and z = 8 *
Replace w and z with the given values:
5^2 + 2 + 48 / 2(8)
Simplify:
75/16 = 4 and 11/16
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)
Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizza. To investigate, they went to their favorite pizza restaurant at 10 random times during the week and ordered a large pepperoni pizza. Here are the numbers of pepperoni on each pizza.
47 36 25 37 46 36 49 32 32 34
Use the 4 step method to construct and interpret a 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant.
Answer:
(31.919,42.881)
Step-by-step explanation:
Using the t-distribution, it is found that the 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.
In this problem, we will find the standard deviation for the sample, hence the t-distribution will be used.
What is a t-distribution confidence interval?The confidence interval is given by:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.For this problem:
The sample size is n = 10.Using a calculator, we have that [tex]\overline{x} = 37.4, s = 7.66[/tex].The critical value, considering a 95% confidence interval with 10 - 1 = 9 df, is of t = 2.2622.The lower bound of the interval is:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 37.4 - 2.2622\frac{7.66}{\sqrt{10}} = 31.92[/tex]
The upper bound of the interval is:
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 37.4 + 2.2622\frac{7.66}{\sqrt{10}} = 42.88[/tex]
The 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.
More can be learned about the t-distribution at https://brainly.com/question/16162795
Graph comparison:
In the image (at the end, below) you can find the function [tex]f (x) = 3^{x}[/tex] and [tex]g(x) = log_{3} x[/tex]
a) Which curve represents the graph of the function f (x)? And g (x)?
b) What is the relationship between f (x) and g (x)?
9514 1404 393
Answer:
a) left curve: f(x); right curve: g(x)
b) the functions are inverses of each other
Step-by-step explanation:
(a) An exponential function with a base greater than 1 has increasing slope. A log function has decreasing slope. The exponential function is on the left.
__
(b) The base of the exponential is the same as the base of the logarithm, so these functions are inverses of each other. This can be seen in the fact that each is a reflection of the other in the line y=x.
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 units²If 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
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!
Help with this pls if you don’t know the answer please don’t answer
PLEASE HELP!!! DUE IN 10 MIN!!!
Answer:
[tex]64[/tex]cm³
Step-by-step explanation:
[tex]8 \times 2 \times 4 \\ = 64[/tex]
Answer:
64
Step-by-step explanation:
Hello There!
The formula for volume of a rectangular prism is
[tex]V=lwh[/tex]
where w = width
l = length
h = height
They give us the following dimensions
height = 4
width = 2
length = 8
all we have to do is plug in the values
[tex]V=2(4)8\\2*4=8\\8*8=64\\V=64[/tex]
Thus the answer is 64
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
WILL GIVE BRAINLIEST
Answer:
[tex]\sqrt{65}[/tex] is the closest to 8
Step-by-step explanation:
[tex]\sqrt{61}=7.81 \\\sqrt{66}=8.12 \\\sqrt{65} =8.06\\\sqrt{62} =7.87[/tex]
just have a few more left!! please help yall
Answer:
this one (look attachment):
what is the slope of the line
Answer:
3/2
Step-by-step explanation:
Please prove the following trigonometric identity.
[tex]\cos^2(5x)-\sin^2(5x)=\cos(10x)[/tex]
Answer:
See Below.
Step-by-step explanation:
We want to verify the trigonometric identity:
[tex]\cos^2(5x)-\sin^2(5x)=\cos(10x)[/tex]
For simplicity, we can let u = 5x. Therefore, by substitution, we acquire:
[tex]\cos^2(u)-\sin^2(u)[/tex]
Recall the double-angle identity formula(s) for cosine:
[tex]\displaystyle \begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x)\\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}[/tex]
Therefore, our identity becomes:
[tex]=\cos(2u)[/tex]
Back-substitute:
[tex]=\cos(2(5x))=\cos(10x)\stackrel{\checkmark}{=}\cos(10x)[/tex]
Hence proven.
cos²A - sin²A = cos2A, this is a general indentity where A can have any random value x/2, y/3, 1/8, 8, 9 etc.
Replacing A with 5x:
=> cos²(5x) - sin²(5x) = cos²(10x)
Moreover,
cos(A + B) = cosAcosB - sinAsinB.
When A = B,
cos(A + A) = cosAcosA - sinAsinA
cos2A = cos²A - sin²A
You can do the same with 5x.
cos(10x) = cos(5x + 5x)
cos(10x) = cos(5x)cos(5x) - sin(5x)sin(5x)
cos(10x) = cos²(5x) - sin²(5x)
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]
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
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
NEED HELP I SUCK AT GEOMETRY (OFFERING 100POINTS)!!! best answer get brainlest
Can you prove the triangles below are congruent? Explain why or why not.
Answer: This is kinda confusing but I would say no
Step-by-step explanation: Because they would be congruent if the little line in JKD is in the middle of JK instead of KD.
Answer:
The traingles are not congruent.
Step-by-step explanation:
ang A=ang J
ang L=ang K
LA=KD
So, u must have thaught that the triangles are congruent by ASA. But it's not true.
The Angle-Side-Angle criterion states that the two triangles can only be congruent if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle.
But here, the LA is the included side but KD is not. In order to be congruent, LA must congruent to KJ of ∆JKD.
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
Given that z is a standard normal random variable, find z for each situation (to 2 decimals).
A. The area to the right of z is 001.
B. The area to the right of z is 0.045.
C. The area to the right of z is 0.05.
D. The area to the right of z is 0.2.
Answer:
a) Z = 2.33
b) Z = 1.7
c) Z = 1.65.
d) Z = 0.84.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is also the area to the right of z.
A. The area to the right of z is 0.01.
Z has a pvalue of 1 - 0.01 = 0.99. So Z = 2.33.
B. The area to the right of z is 0.045.
Z has a pvalue of 1 - 0.045 = 0.955. So Z = 1.7
C. The area to the right of z is 0.05.
Z has a pvalue of 1 - 0.05 = 0.95. So Z = 1.65.
D. The area to the right of z is 0.2.
Z has a pvalue of 1 - 0.2 = 0.8. So Z = 0.84.
EXPRESS ALGEBRAIC EXPRESSION:
1. a + b
2.b-c
3.8b
4.c over 10 (c/10)
SIMPLIFY:
1.4x + 5x
2. 7y - 2y
3. 8 x a
(for those who are helping me tysm I really appreciate them)
Answer:
SIMPLIFY:
1.4x + 5x=9x
2.7y - 2y=5y
3.8 X a=8a
Step-by-step explanation:
1.4+5=9 and then just add X
2.7 - 2=5 and then just add y
3.8 X a=8a cause in the question there is no value of a
hope this help :)
ANSWERRRRR????HELPP PSLSSSSS
Answer:
its sas side angle side plz mark me branliest