Answers
1 7sqrt(2)
Here, sin 45 deg = ----------- = --------------
sqrt(2) x
Cross multiplying, we get x = 7 [sqrt(2) ]^2 = 7(2) = 14 (answer)
Related Questions
When he was 40 Keefer began investing $150 per month in various securities for his retirement savings. His investments averaged a 4.5% annual rate of return until he retired at age 70. What was the value of Keefer's retirement savings when he retired? Assume monthly compounding of interest.
Answers
Monthly saving, P = $150, Annual rate of return, R = 4.5% = 0.045.
Therefore, future value (FV) at the time of retirement will be;
FV = P*[1+(R/12)^12*30]/(R/12)
Substituting all the parameters;
FV = 150*[1+(1+0.045/12)^360]/(0.045/12) = $113.907.92
Which triangles are similar?
a
b
c
d
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hope that's right!!!
The two triangles that are similar are triangles A and D.
I hope this helped! :-)
A catapult is malfunctioning and not throwing objects in the intended manner. The builders have modeled the path of the objects thrown by using the following parametric equations. rewrite the parametric equations by eliminating the parameter.
x(t)=2t-1
y(t)= square root of t; t> or equal to 0
Answers
Answer:
The equation is [tex]y ^ 2 = \frac{x + 1}{2}[/tex]
Step-by-step explanation:
The parameter that we have is t. We want to eliminate this parameter in both equations, therefore in the first equation we solve for t and in the second equation we solve for the variable t.
We have:
[tex]x = 2t-1\\\\x + 1 = 2t\\\\t = \frac{x + 1}{2}[/tex]
Now we solve the other equation for t.
[tex]y= \sqrt{t}[/tex]
[tex]y ^ 2 = t[/tex] because [tex]t> 0[/tex]
As [tex]t = y ^ 2[/tex] and also [tex]t = \frac{x + 1}{2}[/tex]
Then:
[tex]y ^ 2 = \frac{x + 1}{2}[/tex]
The correct answer is:
D. [tex]x=2y^{2} -1, y\geq 0[/tex]
Plato explains that we know geometry by _________.
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Plato explains that we know geometry by our gain knowledge through recollection. Our soul is what recollects this place hence we came where there exist unchanging truths. Delivered the theory of Forms, according to which the world people know by means of the senses is just an imitation of the eternal, pure, eternal, and fixed world of the Forms.
Find the value of the combination 9 c 4
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Hope this helps
What is the value of x? Round the answer to the nearest tenth. The diagram is not drawn to scale.
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Reason: Chord AB and Chord CD are equal.
We have been given that the chords AB and CD are equal.
Now, we know that two equal chords subtends equal angle at the center of the circle.
The chord CD subtends and angle CPD at the center and the chord AB subtends an angle APB at the center.
Hence, from above mentioned theorem, we can say that
[tex]\angle CPD = \angle APB[/tex]
Now, we have been given that
[tex]\angle CPD =50 ^{\circ} [/tex]
[tex]\angle APB =x ^{\circ} [/tex]
Hence, we have
[tex]x=50^{\circ}[/tex]
how do I solve (x-5)(x-1)=0
Answers
Next, you'd find the factors of 5, that when multiplied equal 5, and when added, equal -6. Being that 5 is a prime number (a number that is only divisible by 1 and itself) those numbers are 1 and 5. Both numbers have to be negative, in order to get -6.
-1*-5 = 5
-1 + -5 = -6
Finally you split up the X^2 to a single x with each of the factors and make it equal to zero (X - 1 = 0) and (X - 5 = 0). Then you solve each.
(X - 1 = 0) Add 1 to each side. X = 1
(X - 5 = 0) Add 5 to each side. X = 5
I hope this helps!
What is the point-slope equation of the line with a slope 4/3 that goes through the point (-4,6)?
Answers
[tex]\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})~\hspace{10em}slope = m\implies \cfrac{4}{3}\\\\\\\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-6=\cfrac{4}{3}[x-(-4)]\implies y-6=\cfrac{4}{3}(x+4)[/tex]
Answer:
The point-slope form of the equation is y - 6 = 4/3(x + 4), which is answer B.
Step-by-step explanation:
In order to find the point-slope form of any equation, start with the base form of the equation.
y - y1 = m(x - x1)
Now input the slope given as m, and the point in for x1 and y1.
y - y1 = m(x - x1)
y - 6 = 4/3(x - -4)
y - 6 = 4/3(x + 4)
HELP!!!!!!NEED TO PASS!!!!WILL GIVE THE BRAIN!!!!!!!!!!!
Answers
So, x³ shifted 5 units to left will be (x + 5)³
Shifting 4 units upwards means adding 4 to the function value,
So, previous function shifted 4 units up will be (x + 5)³ + 4
Thus, g(x) = (x + 5)³ + 4
So, option b gives the correct answer
So, option b gives the correct answer
Solve the quadratic equation. 8x2 + 16x + 8 = 0 A) 1 B) -1 C) 1 and 8 D) 1 and -1
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Answer: B. -1
Help Geometry!!
AC is tangent to circle O at A. If , m<BY= 24 , what is m<YAC?
a) 48
b) 156
c) 78
d) 132
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The inscribed angle measures half of the arc it comprises.
so
∡BAY=BY/2------> 24/2------> 12°
angles YAC and BAY are complementary angles
∡YAC+∡BAY=90°
∡YAC=90-∡BAY-------> ∡YAC=90-12-----> 78°
the answer is
78°
please help- Your supposed to find x, y, and z and round to the nearest tenth
Answers
You didn't indicate which problem you wanted your helper to focus on. So I will arbitrarily choose #2.
This large triangle is made up of two smaller triangles: the smaller triangle has sides of 2 and x and hypotenuse of y. The larger triangle has sides x and 5 and hypotenuse z. Look carefully: The largest triangle has hypotenuse (2+5) and sides y and z. Now you have three equations in three unknowns and thus have enough info to find the values of x, y and z.
Think about this. What should you do first? Type back your ideas. Then I'll help you solve this problem.
My brother owes me $10. I already have $10. My dads friend gave me and him $20 to split in half. He gave me the $20 and took my $10. Does he still owe me. Explain plz
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your brother is supposed to give you $10
he gives you the money the friend told him to and you would have $20 PLUS the ten that he owes you. That would make you have $30. He took youre ten and gave you 20 but you were supposed to have 20 in the first place. He needs to give you the ten back he owes you.
Alan is giving a basic math test in his class. One of the questions in the test is about finding two factors of the number 221. Which are the two factors of the given number? The two factors of the number 221 are ___ and ____.
Answers
A factor refers to a whole number, which fits evenly into another whole number. Thus, factors are the numbers, which we multiply together to get another number. The two numbers that can be multiply together to get 221 are 13 and 17.
I need help on this show steps pleaseeee!!!
Answers
[tex] \frac{1}{2}r - \frac{1}{3} - \frac{4}{3} = - \frac{7}{3} [/tex]
Step #2 - calculate the sum or difference of - ⅓ by -4/3,
[tex] \frac{1}{2}r - \frac{5}{3} = - \frac{7}{3} [/tex]
Step #3 - Multiply both sides by 6,
[tex] \frac{1}{2} (6)r - \frac{5}{3} (6) = - \frac{7}{3} (6)[/tex]
[tex]3r - 10 = - 14[/tex]
Step #4 - Move constant ( - 10 ) to the right and change its sign,
[tex]3r = - 14 + 10[/tex]
Step #5 - Calculate the sum
[tex]3r = - 4[/tex]
Step #6 - Divide both sides by 3 so we can isolate the variable r,
[tex]r = - \frac{4}{3} [/tex]
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
A car is traveling at a speed of 50 miles per hour. Each wheel of the car makes 770 revolutions per minute. To the nearest tenth of an inch, what is the diameter of each car wheel? (Note: 1 mile = 5,280 feet)
Answers
Answer: 21.8 inches
Given:
A car is traveling at a speed of 50 miles per hour. Each wheel of the car makes 770 revolutions per minute.
To get the diameter of each car wheel
Get first the length of revolution (circumference of the wheel) in inches.
Speed=50 miles/hr
=50miles/60 minutes
= 0.833333 miles/minute
=.833/5280=4400ft= 52,800 inches/minute
Since there are 770 revolutions per minute, per revolution (circumference of the wheel) =
=52,800/770
=68.57 inches
Formula of diameter given the circumference is:
D=C/π
D=68.57/3.14
D= 21.8 inches
Answer:
21.8
Step-by-step explanation:
just took test
suppose you drop a tennis ball from a height of 15 feet. After the ball hits the floor, it rebounds to 85% of its previous height. how high will the ball rebound after its third bounce? round to the nearest tenth
Answers
Kenny is making creamy rice pudding his recipe requires 4 cups of milk he has a quart of milk in his fridge dose he have enough milk explain
Answers
someone help me please
Answers
f (x) = 3x + 1
g (x) = x ^ 2 - 6
Subtracting both functions we have:
(f-g) (x) = f (x) - g (x)
(f-g) (x) = (3x + 1) - (x ^ 2 - 6)
(f-g) (x) = 3x + 1 - x ^ 2 + 6
(f-g) (x) = - x ^ 2 + 3x + 7
Answer:
(f-g) (x) = - x ^ 2 + 3x + 7
option B
How do you use properties of exponents and logarithms to rewrite functions in equivalent forms and solve equations?
Answers
1) log (a) ^ b = b * log (a)
2) log (a * b) = log (a) + log (b)
3) log (a / b) = log (a) - log (b)
These logarithmic properties can be used to solve equations.
For example:
2 ^ x = 56
If we apply to this equation the logarithm function on both sides that we have left
log (2) ^ x = log (56)
This function is equivalent to the first.
If we now apply the property 1) of the previous logarithms, we can reveal x of the equation.
x * log (2) = log (56)
x = log (56) / log (2)
x = 5,807
Thus, thanks to the properties of the logarithms, this exponential function could be solved
Final answer:
To use properties of exponents and logarithms effectively, one must apply specific rules such as the logarithm of a product being the sum of the logarithms and the logarithm of a number raised to an exponent being the product of the exponent and the logarithm. Log transformations help linearize and solve equations involving exponents.
Explanation:
To rewrite functions in equivalent forms and solve equations using the properties of exponents and logarithms, one must understand several key rules and relationships. For example, the common logarithm (log) indicates the power to which 10 must be raised to equal a given number.
Two essential properties we use are:
The logarithm of a product of two numbers is the sum of the logarithms of the two numbers (log xy = log x + log y).The logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number (log x^n = n log x).Exponential and logarithmic functions are inverses. This relationship allows us to simplify complex expressions and solve exponential equations by taking the logarithm of both sides. For instance, the natural logarithm (ln or loge) and the base e exponential are inverse functions, so ln (e^x) = x and e^(ln x) = x.
A log transformation can linearize functions that involve an exponent by taking the log of both sides of the equation. This technique is valuable in solving equations where the variable is an exponent.
The diameter of a bowling ball is 12.57 centimeters. What is this value rounded to the nearest tenth of a centimeter?
Answers
12.57 centimeters
We note that the number is rounded to the nearest hundredth.
If we want to round the number to the nearest decimal we must rewrite the number.
Rewriting we have:
12.6 centimeters
Answer:
this value rounded to the nearest tenth of a centimeter is:
12.6 centimeters
12x2 = 18x
i need someone to explain this
Answers
12x² = 18x------> 12x²-18x=0-----> divided by 12----> x²-(3/2)*x=0
this is the equation of a vertical parabola
x²-(3/2)*x=0-----> x*(x-1.5)=0
the x-intercepts of the parabola are
x=0
x=1.5
using a graph tool
see the attached figure
What is the linear function that best fits the data set?
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Please, see the attached file.
Thanks.
PLEASE HELP 50 point will give brainlyest
Evaluate 81000−−−−√3 .
1/125
6/500
8/500
2/10
Answers
Need help on this question
Answers
Area of the base: Ab=p*K
Semi-perimeter of the base: p
p=P/2
Perimeter of the base: P=20
p=P/2=20/2→p=10
Ab=p*k=10*K→Ab=10K
Lateral Area of the prism: Al
Al=P*h
Height of the prism: h=6
Al=P*h=20*6→
Al=120
T.A.=2*Ab+Al
T.A.=2*(10K)+120
T.A.=20K+120
T.A.=120+20K
Answer: (120+20K)
Help me solve this please!
Answers
a) The calculator shows 5 solutions:
{5π/23, 5π/17, 25π/23, 25π/17, 45π/23}
These have approximate decimal values of
{0.6830, 0.9240, 3.4148, 4.6200, 6.1466}
b) The calculator shows 2 solutions with approximate decimal values of
{1.2925, 4.4341}
c) The calculator shows 2 solutions with approximate decimal values of
{1.3694, 4.9137}
_____
This (desmos) calculator displays intercepts to 3 decimal places. Since you want 4 decimal places, some additional refinement of the answer was necessary. That was accomplished using Newton's method iteration. The details are not shown. A suitable graphing calculator (for example, a TI-84) will supply the intercept coordinates to full calculator accuracy.
"the placement test for a college has scores that are normally distributed with a mean of 600 and a standard deviation of 60.if the college accepts only the top 1% of examinees, what is the cutoff score on the test for admission?"
Answers
let the cutoff be x
but
P(x>0.01)=1-P(x<0.01)=1-0.01=0.99
the z value corresponding to 0.99% is z=2.33
thus
2.33=(x-600)/60
solving for x we get:
139.8=x-600
x=739.8
on Sunday Mary pay $6 each on two tickets to a movie theater movies for $9.58 each Mary paid with 3 $20 bills how much changed
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the diagonals of a rhombus are 12 centimeters and 16 centimeters. what is the length of one side of the rhombus?
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thus we can use the pythagorean theorem to get one side, keeping in mind that, slanted as it may be, all sides in a rhombus are equal in length.
The Venn diagram represents the results of a survey that asked participants whether they would want a bird or a fish as a pet.
Enter your answers in the boxes to complete the two-way table based on the given data.
Answers
Answer with Step-by-step explanation:
As we can see the venn diagram:
number of bird+fish=6
number of bird+not fish=8
number of fish+not bird=19
and number of not fish and not bird=22
Hence, we get the following table
Fish Not Fish Total
Bird 6 8 14
Not Bird 19 22 41
Total 25 30 55
Fish Not Fish Total
Bird 6 18 14
Not Bird 19 22 41
Total 25 30 55