Answers
Answer:
D
x=5*sqrt(2)/2
Step-by-step explanation:
since it is a right triangle, and one of the other angles is 45, we know that the last angle must also be 45 since the 3 interior angles must be 180
then using pythagroem theorem
sqrt(a^2+b^2)=c
sqrt(x^2+x^2) = 5
square both sides
x^2+x^2=25
2x^2=25
x^2=25/2
square root both sides
x= sqrt(25/2)=5/sqrt(2)
rationalize the demonominator by multiplying by sqrt(2)/sqrt(2)
x=5*sqrt(2)/2
Related Questions
If David walks 1/2 mile in 1/4 hour, then how fast does David walk in one hour? (In other words, what is David's "unit rate"?)
Answers
I NEED HELP ASAP PLESSEEE
What is the relation between the variables in the equation
Y/x^2= 10?
a. x varies directly with the square of y
b. y squared varies inversely with x
C. y varies directly with x squared
y varies inversely with x squared
d.
Answers
Answer:
I think C is the relation between the variables.
Calculus 2. Please help
Answers
Answer:
[tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}}} \, dx = \infty[/tex]
General Formulas and Concepts:
Algebra I
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Limits
Right-Side Limit: [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integrals
Definite IntegralsIntegration Constant C
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
U-Solve
Improper Integrals
Exponential Integral Function: [tex]\displaystyle \int {\frac{e^x}{x}} \, dx = Ei(x) + C[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integral] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \int\limits^1_0 {\frac{e^{-x^2}}{x} \, dx[/tex][Integral] Rewrite [Improper Integral]: [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \int\limits^1_a {\frac{e^{-x^2}}{x} \, dx[/tex]Step 3: Integrate Pt. 2
Identify variables for u-substitution.
Set: [tex]\displaystyle u = -x^2[/tex]Differentiate [Basic Power Rule]: [tex]\displaystyle \frac{du}{dx} = -2x[/tex][Derivative] Rewrite: [tex]\displaystyle du = -2x \ dx[/tex]Rewrite u-substitution to format u-solve.
Rewrite du: [tex]\displaystyle dx = \frac{-1}{2x} \ dx[/tex]Step 4: Integrate Pt. 3
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} -\int\limits^1_a {-\frac{e^{-x^2}}{x} \, dx[/tex][Integral] Substitute in variables: [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} -\int\limits^1_a {\frac{e^{u}}{-2u} \, du[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{1}{2}\int\limits^1_a {\frac{e^{u}}{u} \, du[/tex][Integral] Substitute [Exponential Integral Function]: [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{1}{2}[Ei(u)] \bigg| \limits^1_a[/tex]Back-Substitute: [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{1}{2}[Ei(-x^2)] \bigg| \limits^1_a[/tex]Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{1}{2}[Ei(-1) - Ei(a)][/tex]Simplify: [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{Ei(-1) - Ei(a)}{2}[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \infty[/tex]∴ [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx[/tex] diverges.
Topic: Multivariable Calculus
In triangle ABC, if ∠A = 120°, a = 8, and b = 3, then ∠B =
Answers
Answer:
Step-by-step explanation:
Use the Law of Sines here:
[tex]\frac{sin120}{8} =\frac{sinB}{3}[/tex] and cross multiply to get
8sinB = 3sin120 and solve for B:
[tex]sinB=\frac{3sin120}{8}[/tex] and
sinB = .3247595264
Now hit the 2nd button and then sin to get
[tex]sin^{-1}([/tex]
on your display. After that open parenthesis, enter that decimal and hit enter to get that angle B = 18.95 which you can round to howeve many places you need.
Which ratio is equivalent to 30%?
A. 6:20
B. 3:9
C. 2:6
D. 5:18
Answers
Answer:
2+2= -5
Step-by-step explanation:
i dont come up with the rules i just state the facts.
Last week, a family ordered dinner through a local food delivery service. The food was $45. They had a coupon for 15% off the total bill.
The bill was $
when the coupon was applied.
Answers
Help me with this question too
Answers
Answer:
The one on the right
Step-by-step explanation:
Because it is 4 then 3
Answer:
the second one (the one to the right)
Step-by-step explanation:
Find the equation of the line with slope -2 which goes through the point (9,-7).
Give your answer in slope-intercept form y = mx + b.
Answers
Is this question biased or unbiased?
"Why is drinking fruit juice good for you?"
Answers
Your not showing your against it or anything. Just a general factual question.
HELP PLZ
Possible values for the area A of the rectangle shown are 12 - As 36. Write and
solve a compound inequality to find the possible values of x. Are these values all
viable in this situation?
2x + 1
3
Answers
Answer:
i had the exact same question as this, dm me on discord so i can screenshare my answer
Step-by-step explanation:
jey0001 is my discord
Two friends Vicky and Micky start a business together. They decided to share their capitals depending up on the variable expenditure. The capital of the two partners together is given by polynomial 6x² + 11x – 35 which is the product of their individual share factors.
a-The value of x, when their total share is equal to 0?
b-The total expenditure of Vicky and Micky when x = 10 is (in Rs
c-The sum of their expenditure is
Answers
Answer:
a- x = 5/3, or x = -7/2
b- 675
c - 5·x + 2
Step-by-step explanation:
The polynomial representing the capital of the two partners = 6·x² + 11·x - 35
a. The total share is the capital of the two partners together = 6·x² + 11·x - 35
∴ When their total share is equal to 0, we have;
6·x² + 11·x - 35 = 0
Factorizing the above equation with a graphing calculator gives;
(3·x - 5)·(2·x + 7)
Therefore;
x = 5/3, or x = -7/2
b- The total expenditure, when x = 10 is given by substituting the value of x in the polynomial 6·x² + 11·x - 35, as follows;
When x = 10
6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675
The total expenditure of Vicky and Micky when x = 10 is 675
c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2
PLS I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!
Answers
Answer:
5. 2 hours 45 minutes 6. 7:23 7. 10:05 8. 1 hour 34 minutes
Step-by-step explanation:
I mean u gotta be lying about staying up all night to do these 4 problems but heres the answers
Answer:
5. 2 hours 45 mins
6. 7:23 start
7. 10:05
8. 1 hour 34 mins
Simplify exponents. A, B, or C and explain.
Answers
Answer:
[tex]8^{-3}[/tex]
Step-by-step explanation:
[tex]\frac{8^3}{8^6}[/tex]
in division f the base are same u can subtract their exponents
8^3-6
8^-3
Help please !!!!!!!!!!!!
Answers
=============================================================
Explanation:
Ignore the rows that are labeled "stock ABC" and "stock MNO".
We only focus on the top row (gains and losses) and the "stock JKL" row.
Multiply each gain or loss with its corresponding probability in decimal form. Use negative values to represent a loss
-25*0.15 = -3.755*0.65 = 3.2545*0.20 = 9Add up those results to get the final answer: -3.75+3.25+9 = 8.50
-----------------------
Here's another way to get the answer.
Let's say you had a 10 by 10 grid of graph paper.
Shade exactly 15 tiny squares in red to represent a loss of $25 (note that 15/100 = 15%)Shade exactly 65 squares in blue to represent a gain of $5 (65/100 = 65%)Shade the remaining 20 squares in green to represent a gain of $45This can be thought of as like a dart board. Imagine throwing 1000 darts at this grid (maybe do so blindfolded to give each square an equal chance; if you land outside the grid then re-throw the dart). Theoretically, the probability of landing in the red area is 15/100 = 0.15, so we expect about 1000*0.15 = 150 darts will land there out of the 1000 thrown total. Each of those 150 darts in the red area represents a loss of $25. So we have a loss of 150*25 = 3750 dollars. We'll write this as -3750.
We also expect 0.65*1000 = 650 darts to have a gain of $5. That means 650*5 = 3250 is earned here. Furthermore, 0.20*1000 = 200 darts land in the green squares to get us $45 per attempt. So that's another 45*200 = 9000 dollars.
Overall, we would get -3750+3250+9000 = 8500 in profit.
Divide this over the 1000 dart throws and we end up with an expected value of 8500/1000 = 8.50
Keep in mind that this dart game or thought experiment is depending on theoretical probabilities. If you actually do this game, then your empirical probabilities will likely differ slightly from the theoretical values. However, the more trials you conduct, the closer your empirical probabilities should get to the theoretical ones.
I need help, please!! I'll give a brainliest
Answers
Answer:
metals or metalloids
Step-by-step explanation:
I'm built different i dont know if im right about the question. im just not sure if i understood the question correctly
This is the last for tonight
Answers
Answer:
m ∠ ZLK = 75°
Step-by-step explanation:
How much almond milk does James use per teaspoon of cashew butter
Answers
a little bit of help here??
Answers
Answer:
balanced
Step-by-step explanation:
The upward force is 75+ 160 =235
The downward force is 235
The force is balanced since the upward force equals the downward force
Louise begins factoring the polynomial, which has four terms. 8x3+24x2+10x+30 2(4x3+12x2+5x+15) 2[4x2(x+3)+5(x+3)] Which is the completely factored form of her polynomial? 8x2(x + 3)2 2x(4x2 + 5) 2(4x2 + 5) (x + 3) 2(4x2 + 5) (x + 3)2
Answers
Answer:
[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]
Step-by-step explanation:
Given
[tex]8x3+24x2+10x+30= 2(4x^3+12x^2+5x+15)[/tex]
[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]
Required
The complete factored form
We have:
[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]
Factor out x + 3
[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]
The above represents the completely factored form
Answer:
C on edge
Step-by-step explanation:
I took the test
The angle of elevation to a nearby tree from a point on the ground is measured to be 61 ∘ ∘ . How tall is the tree if the point on the ground is 59 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Answers
Answer:
106.44 ft
Step-by-step explanation:
tan = opp/adj
tan61 = opp/59
59*tan61 = opp
opp = 106.438817561014012
Rounded
106.44 ft
Given the figure below as marked, which term best describes EF?
A. angle bisector
B. median
C. perpendicular bisector
D. altitude
Answers
Answer:
B
median
hope its help you
Answer: B. Median
Step-by-step explanation:
its the middle line.
log2 1 is defined
True
False
Answers
Answer: True
Through the change of base formula, we can say,
[tex]\log_{2}(1) = \frac{\log(1)}{\log(2)} = \frac{0}{\log(2)} = 0[/tex]
So in short,
[tex]\log_{2}(1)=0[/tex]
It turns out that
[tex]\log_{b}(1) = 0[/tex]
for real numbers b such that b > 0 and [tex]b \ne 1[/tex]
Which ordered pair is a solution of the equation y = -7x + 2
A. (1,2)
B. (8, -54)
C. (5, -35)
D. (1, -7)
Answers
Answer:
B. (8, -54)
Step-by-step explanation:
y = -7x + 2
Check to see if the point makes the equation true
A. (1,2) 2 = -7(1)+2 = -7+2 = 5 False
B. (8, -54) -54 = -7(8)+2 = -56+2 = -54 True
C. (5, -35) -35 = -7(5) +2 = -35+2 = -33 False
D. (1, -7) -7 =-7(1)+2 = --7+2 = -5 False
PLEASE HELP
what is the amount of an investment $10,000 compounded quarterly for 3 years at a rate of 4 percent?
Answers
Answer:
10000 times 3 times 0.04 = 1200
Answer:
11268.25
Step-by-step explanation:
[tex]P(1+\frac{i}{n})^{n*t}=10000(1+\frac{.04}{4})^{4*3}=11268.2503[/tex]
please help me 2 The two lines shown below are perpendicular. If the slope of the red line is 5 what is the slope of the green line? Use a slash mark (/) as a fraction bar if necessary. 15 O A. O OB. 5 min O c. O c tole D. O
Answers
Answer:
-5/2
Step-by-step explanation:
Perpendicular slope is always the negative reciprical. This basically means the opposite sign and the nubers are flipped.
HELP NEEDED ASAP!! Find the sine of B
Answers
Therefore,
Sin B = √70/√95
Simplify
Sin B = √14/19
simplify the question
Answers
Answer:
=−4√2
I got this when simplified.
x3+y3+z3=k, with k being all the numbers from one to 100
Answers
✦ ✦ ✦ Beep Boop - Blu Bot! At Your Service! Scanning Question . . .
Code: Green! Letters, Numbers, and Variables Received! ✦ ✦ ✦
--------------------------------------------------------------------------------------------------------------Question: x3+y3+z3=k, with k being all the numbers from one to 100
--------------------------------------------------------------------------------------------------------------Answer: X = -80538738812075974, Y = 80435758145817515, and Z = 12602123297335631.
-------------------------------------------------------------------------------------------------------------
X = -80538738812075974, Y = 80435758145817515, and Z = 12602123297335631.
7x+2y=39 in slope intercept form
Answers
Y=-7/2x+39/2
Brenya Estate produces a high quality tea branded Super by blending three types of tea coded A, B and C in the ration 1: 5:1. Originally Type A tea costs GHS 1,600 type B costs GHS 800 and type C costs GHS 1,700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of Super tea,
Answers
Solution :
Cost of 1 kg super tea mixture
[tex]$=\frac{1(1600)+5(800)+1(1700)}{1+5+1}$[/tex]
[tex]$=\frac{1600+4000+1700}{7}$[/tex]
[tex]$=\frac{7300}{7}$[/tex]
= 1042.8
≈ 1043
Include of cost blending and packaging.
So, cost of 1 kg is 1043 + 40 = 1083
Cost of packaging of 825 gram super tea = [tex]$\frac{825}{1000} \times 1083$[/tex]
= 893.47