Answers
Answer:
d. 19√2 -29
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{9-10\sqrt{2}}{\sqrt{2}+1}=\dfrac{(9-10\sqrt{2})(\sqrt{2}-1)}{(\sqrt{2}+1)(\sqrt{2}-1)}\\\\=\dfrac{9\sqrt{2}-9-10\cdot2+10\sqrt{2}}{2-1}=\boxed{19\sqrt{2}-29}[/tex]
Answer:
Step-by-step explanation:
Related Questions
no link no bot right please
Answers
Answer:
2143.57 cm^3
Step-by-step explanation:
the formula for the volume of a sphere is (4/3)pi*r^3. plug 8cm in for r to get (4/3)*3.14*8^3=2143.57
One angle of the following triangle measures 2x. How many degrees does that angle
2x
X+15
2x+10
Answers
Given info:- In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.
Explanation:-
Let the angles be 2x, x+15 and 2x+10 respectively.
∵ Sum of the three angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]
→2x + x+15 + 2x+10 = 180°
→ 2x + x + 2x + 15 + 10 = 180°
→ 3x + 2x + 15 + 10 = 180°
→ 5x + 15 + 10 = 180°
→ 5x + 25 = 180°
→ 5x = 180°-25
→ 5x = 155°
→ x = 155°÷5 = 155/5 = 31.
Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.
∴ ∠A = 2x = 2(31) = 62°
∠B = x+15 = 31 + 15 = 46°
∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.
4. Suppose you have a map of Charlotte where 2
inches equals 4 miles. On the map, the distance
from your house to school if 3.5 inches. How
many miles is this?
Answers
Suppose a jar contains 17 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.
Answers
16/48=1/3
The probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
For given example,
A jar contains 17 red marbles and 32 blue marbles.
If we pull out 2 marbles at random, we need to find the probability that both are red.
The number of possible outcomes,
[tex]\Rightarrow n(S)=^{49}C_2\\\\ \Rightarrow n(S)=\frac{49!}{2!(49-2)!}\\\\ \Rightarrow n(S)=1176[/tex]
The number of possible outcomes of selecting both the red marbles.
[tex]\Rightarrow n(A)=^{17}C_2\\\\ \Rightarrow n(A)=\frac{17!}{2!(17-2)!}\\\\ \Rightarrow n(A)=136[/tex]
The probability that both the marbles are red,
[tex]\Rightarrow P(A)=\frac{n(A)}{n(S)}\\\\ \Rightarrow P(A)=\frac{136}{1176}\\\\ \Rightarrow P(A)=\frac{17}{147}[/tex]
Therefore, the probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]
Learn more about the probability here:
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if there was a group of ten people the probability of them being born on the same day of the same year is 1, true or false and why
Answers
Answer:
True
Step-by-step explanation:
For instance, twins are born on the same day but imagine ten people instead of two being born on the same day.
Suppose that a risk-free investment will make three future payments of $250 in 1 year, $250 in 2 years, and $250 in 3 years. Instructions: Round your answers to 2 decimal places. a. If the Federal Reserve has set the risk-free interest rate at 4 percent, what is the proper current price of this investment? $ b. What is the price of this investment if the Federal Reserve raises the risk-free interest rate to 6 percent? $
Answers
Answer:
la théorie des plaques est
The total present value will be $693.75
The total present value will be $668.23
What is Future Value?Future value is the value of an asset or investment as of some future date. In other words, the future value is the sum of money that an investment will be worth, assuming a certain rate of return, after a specific amount of time (interest rate).
First, i= 4/100 = 0.04
n= 1, 2, 3
Amount= $250
So, Present Value = 250/ (1 + 0.04) + 250/ (1 + 0.04)² + 250/ (1 + 0.04)³
= 250/ 1.04 + 250/ 1.04² + 250/ 1.04³
= 240. 38 + 231.13 + 222.24
= $693.75
So, The total present value will be $693.75
Second, i= 6/100 = 0.06
n= 1, 2, 3
Amount= $250
So, Present Value = 250/ (1 + 0.06) + 250/ (1 + 0.06)² + 250/ (1 + 0.06)³
= 250/ 1.06 + 250/ 1.06² + 250/ 1.06³
= 235. 84 + 222.49 + 209.90
= $668.23
So, The total present value will be $668.23
Learn more about Future Value here:
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A force of 56N is required to keep a spring stretched 4m from the equilibrium position. How much work in Joules is done to stretch the spring 8m from equilibrium? Round your answer to the nearest hundredth if necessary.
Answers
Please check the attached images for the answer. Answer with full explanation is screenshoted. Plz refer.
Thanks ☺️
Hope it helps you.
Hey thank you for helping me
Answers
Answer:
0
Step-by-step explanation:
anything that is divided by 0 makes 0
have a good day!
Answer:
D Undefinited
Step-by-step explanation:
(-6 * 3)/0=
-18 * 0 =
-0
the holiday season,
13 homes on a certain street displayed lights and
8 displayed lawn ornaments. Five of the homes
displayed both lights and lawn ornaments. If there
are 32 homes on the street, how many had no
decorations at all?
O
3-3 Venn Diagram Stations.pdf
Answers
32-26=6
6 homes have no decorations at all.
Compare:
5/14 11/18
.
>
<
=
Answers
Answer:
<
Step-by-step explanation:
hope this helps <33
What should be done to both sides of the equation in order to solve -5m = -40?
A. Multiply by -5.
B. Divide by -5.
C. Multiply by -40.
D. Divide by -40.
Answers
B. Divide by -5
Answer:
B.Divide by -5
Step-by-step explanation:
-5m= -40
divide bothe sides by -5
m= -40/-5
m= 8
Please help!
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
Answers
Answer:
it would be c because its moved 2x up
Step-by-step explanation:
A. Determine the value of each function
1. For p(x)=-2x + 5, determine:
a. p(5)
b. p(0)
c. p(-1/2)
Answers
Answer:
a= -5
b=5
c=6
substitue each value as x
I have 4 groups . After I dived Ed them into groups there were 6 groups 0f 4 and 1 group of 3. How many students were in the class ? Show all your work.
Answers
Answer: 27 students
Step-by-step explanation: 6 x 4 = 24
24 + 3 = 27
Answer:
27 Students in the class
Step-by-step explanation:
First we have to find out how many people are in the 6 groups of 4. 6x4=24
And of course 1 group of 3 people. Add them together to get 27 people.
24+3=27
Hey everybody! Can anybody help me out with this algebra problem? I would really appreciate it if you can!
The following relation is a variation. Which description best represents the relation?
Answers
Answer:
x and y are directly related because y = -3x
Step-by-step explanation:
Help pleaseeeeeeee asapplpl
Answers
Answer:
the graph is incorrect first u correct this
y>-1/3x+2 x<4 how to solve the system of inequalities by graphing.
Answers
Answer:
See belowStep-by-step explanation:
1. Graph each inequality2. Take the intersection of shaded regions as solutionAttached each inequality separately and the solution showing the intersection below.
y > -1/3x + 2
Find the x - and y - intercepts, connect them with dotted line, shade the area above the linex < 4
Draw a dotted line x = 4, shade the area to the left of the lineWrite each value in standard form.
1. 507 thousandths
2. 5 and 6 thousandths
3. 9 and 62 thousandths
Answers
Answer:
1. 0.507
2. 5.006
3. 9.062
Step-by-step explanation:
If a value has “thousandths” in the question, the decimal place goes 4 places to the left: ex. 0.007.
Adam And Eve had 32 apple in 8 barrels how many would they have in all?
Answers
Answer:
Adam and Eve will have 4 apples in each barrel
Step-by-step explanation:
32/8
= 4
If two corresponding angles in a triangle are congruent, the triangles are congruent.
True
False
Answers
Answer:
False
Step-by-step explanation:
All angles and all sides have to be congruent.
I hope this helps!!
At gym A is 76.50 for 8.5 hours. At gym B cost is 10.50 for 3/4 hours which plan of offers the best deal
Answers
Tell me if you want step by step explanation!
Hope this helped. :)
pls pls pls help!!!!
Determine the simple interest earned when $6, 100 is invested at a rate of 5% for 4 years.
$1,220
$305
$610
$1,525
Answers
Answer: I think A 1,220 (I'm not sure)
Step-by-step explanation:
the aswer is A.1,220 si think si correct.
Help help
Help help help help help
Answers
Answer:
It equals 1.66666666666...
But you can round it to 1.7 if your rounding to the nearest tenth.
So just round and you get 1.7
10 times 10 times 100 divded by 1 times that again 10000
Answers
Answer:
100,000,000
Step-by-step explanation:
What is two divided by one thousand two hundred and twenty eight
Answers
Answer 1/614
Step-by-step explanation:
The circumference of a circle is 240 meters. What is the approximate
radius of the circle? (Use 3.14 for 7)
A) 9 meters
B) 38 meters
C) 76 meters
D) 153 meters
Answers
Example: 340 divid by 3.14 you get 76
76 divid by 2 you get 38
what is the slope and the y intercept of y= -9x + 15
Answers
Answer:
Step-by-step explanation:
the slope for y = -9x + 15
Slope: -9
y-intercept: y= -9(0) + 15 = 0 + 15 = 15
(0, 15)
Answer:
-9
(0, 15)
Step-by-step explanation:
y = mx + c
y = -9x + 15
so m = -9
y intercept is when x = 0
c = 15
(0, 15)
If 2 pizzas cost $16, how much do 4 pizzas cost?
Answers
Answer:
$32
Step-by-step explanation:
$16/2 pizzas = $8 per pizza
($8)(4)=$32
Answer:
$32
Step-by-step explanation:
16/2 is 8. So each pizza costs exactly 8 dollars. You have to do 4x8 which is 32
What is revolving credit?
A. Credit that provides a set amount of money for a specific purpose
B. Credit that is automatically renewed as debts are paid
C. Credit that requires users to pay a high interest rate
D. Credit that is issued by a financial institution other than a bank
Answers
Answer:
B. Credit that is automatically renewed as debts are paid
Hope this helps :)
During the NCAA basketball tournament season, affectionately called March Madness, part of one team's strategy is to foul their opponent if his free-throw shooting percentage is lower than his two-point field goal percentage. Juan's free-throw shooting percentage is lower and is only 53.5%. After being fouled he gets two free-throw shots each worth one point. Calculate the expected value of the number of points Juan makes when he shoots two free-throw shots.
Answers
Using the binomial distribution, the expected value of the number of points Juan makes when he shoots two free-throw shots is 1.07.
For each shot, there are only two possible outcomes, either Juan makes it, or he misses it. The probability of making a shot is independent of any other shot, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability, and the expected value is:
[tex]E(X) = np[/tex]
In this problem:
Two shots, hence [tex]n = 2[/tex]He makes 53.5% of the shots, hence [tex]p = 0.535[/tex].Then:
[tex]E(X) = np = 2(0.535) = 1.07[/tex]
A similar problem is given at https://brainly.com/question/24261244