Answer:
There are 54 in total because if you add them all it gets you 54
Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
17 cm
a
a
b
8 cm
12 cm
5 cm
Answer:
No solution is possible since you failed to provide the necessary information
Step-by-step explanation:
225 ft2
81 ft2
Three squares are joined below at their vertices to form a right triangle. Find X, the side
length of the square marked in the diagram.
12 feet
144 feet
48 feet
17.5 feet
Answer:
12 ft
Step-by-step explanation:
we know the areas of the 2 top squares.
the area of a square is simply the square of its side length.
=>
81 ft² means side length is 9 ft.
225 ft² means side length is 15 ft.
these are also 2 of the sides of the right triangle.
the third side we get by using Pythagoras :
c² = a² + b²
with c being the side opposite of the 90 degree angle.
so,
225 = 81 + x²
as x is also the third side of the triangle.
=> 144 = x²
x = 12 ft
each exterior of a regular polygon is 30 degree find the sum of interior angles of the polygon
Step 1: 360÷30(exterior angle)= 12 sides
Step 2: (12-2)×180= 1800 (sum of the interior angles of the polygon)
Test: 1800÷ 12 sides= 150 ( 1 interior angle)
A text message plan costs $2 per month plus $0.49 per text. Find the monthly cost for x text messages.
The monthly cost of x messages is
dollars.
(Use integers or decimals for any numbers in the expression.)
9514 1404 393
Answer:
2 + 0.49x
Step-by-step explanation:
The total monthly cost is the sum of the fixed cost ($2) and the message charges ($0.49 × number of messages).
The monthly cost of x messages is 2+0.49x dollars.
Two trains leave a train station at the same time. One travels north at 12 miles per hour. The other train travels south at 9 miles per hour. In
how many hours will the two trains be 88.2 miles apart?
O 4.7 hours
O 4.2 hours
O 2.1 hours
O 8.4 hours
Answer:
4.2 hours
Step-by-step explanation:
Which graph represents the function f(x) = –x2 + 5?
Answer:
Step-by-step explanation:
The graph of f(x) = –x^2 + 5 is that of an upside-down parabola with vertex (0, 5) and x-intercepts (-√5, 0) and (+√5, 0). Plot the vertex (0, 5) and then draw a smooth curve through it and through the x-intercepts.
The function f(x) = -x2+5 is thus represented by the quadratic functions in the first graph.
what is quadratic functions ?A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. Parabolas can have openings that are upward or downward, different "widths" or "steepnesses," but they all share the same fundamental "U" shape.
here calculation
The function provided is f(x) = -x2+5
.... (1) (1)
We must locate the function's graph.
The quadratic function's vertex form is f(x)= a(x-h)2 + k.... (2)
When we compare (1) and (2), we obtain
h=0 , k=5
It denotes that the function's vertex is (0,5).
The values list is
x y
-2 1
-1 4
0 5
1 4
2 1
Place all ordered pairings on a coordinate plane, and then use a free-hand curve to link them.
The function f(x) = -x2+5 is thus represented by the quadratic functions in the first graph.
To know more about quadratic functions visit:-
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Identify factors that influence the significance level and power of a hypothesis test. Which of the following statements is FALSE?
a. Alpha (a) is equal to the probability of making a Type I error.
b. A smaller sample size would increase the effectiveness of a hypothesis test.
c. The probability of rejecting the null hypothesis when the null hypothesis is true is called a Type 1 Error.
d. The power of a hypothesis test is the probability of not making a Type Il error.
Answer:
b. A smaller sample size would increase the effectiveness of a hypothesis test.
Step-by-step explanation:
A hypothesis test is an important procedure in the field of statistics. It evaluates any two mutually exclusive statements about a population that determines and tells which statement made best supports to the sample data provided.
Now we know that an increase in the sample size makes the hypothesis test more effective and sensitive and it is more likely to reject the null hypothesis.
The probability of making a type I error is known as the Alpha while the probability of making type II error is called Beta.
Thus the correct option is (b).
Answer:
A smaller sample size would increase the effectiveness of a hypothesis test
Step-by-step explanation:
Is segment ST tangent to circle P1
Answer:
B . Yes
Step-by-step explanation:
Recall: a tangent of a circle is perpendicular to the radius of a circle, forming a right angle at the point of tangency.
Therefore, if segment ST is tangent to circle P, it means that m<T = 90°, and ∆PST is a right triangle.
To know if ∆PST is a right triangle, the side lengths should satisfy the Pythagorean triple rule, which is:
c² = a² + b², where,
c = longest side (hypotenuse) = 37
a = 12
b = 35
Plug in the value
37² = 12² + 35²
1,369 = 1,369 (true)
Therefore we can conclude that ∆PST is a right triangle, this implies that m<T = 90°.
Thus, segment ST is a tangent to circle P.
PLEASE HELP: The exact value of cos 13π/8 is: A. 0.99. B. √2- √2/4 c. √2+√2/4 D. 0.38.
The exact value of cos(13π/8) is 1/2 [tex]\sqrt{2-\sqrt{2} }[/tex].
What is trigonometric ratio?Trigonometriic ratios are the ratios of the sides of a right angled triangle. sin , cos, tan, sec, cosec, cot are some of the trigonometric ratios. Sin is the ratio of perpendicular and hypotenuse, cos is the ratio if base and hypotenuse, tan is the ratio of perpendicular and base, secant is the ratio of hypotenuse and base, cosecant is the ratio of hypotenuse and perpendicular, cot is the ratio of base and perpendicular.
How to find value?We have to find the value of cos (13π/8).
We have to use formula which is following:
cos[tex]Θ[/tex]=[tex]\sqrt{1/2(1+cos 2Θ}[/tex]
=[tex]\sqrt{1/2(1+cos(2*13 π/8)}[/tex] (π=[tex]π[/tex])
=[tex]\sqrt{1/2(1+cos(3 π+π/4)}[/tex]
=[tex]\sqrt{1/2(1-cos(π/4)}[/tex]
=[tex]\sqrt{1/2(1-1/\sqrt{2} }[/tex]
=[tex]\sqrt{\sqrt{2}-1/2\sqrt{2} }[/tex]
=1/2[tex]\sqrt{2-\sqrt{2} }[/tex]
Hence the value of cos (13π/8) is [tex]1/2\sqrt{2-\sqrt{2} }[/tex].
Learn more about trigonometric ratios at https://brainly.com/question/24349828
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I’ll give brainliest
OPTION A
y= 3x+6
This equation satisfies for all the value given in the table.
For (0,6)
y = 3(0)+6 = 6
For (2,12)
y=3(2) +6 = 6+6= 12
And so on.
is it possible to make a triangle with measure of 3mm 9mm and 5mm
Answer: No
Step-by-step explanation: if you mean the measure of a is 3, the measure of b is 9 and the measure of c is 5, c being the hypotenuse then the answer is no because the the sides of a and b must be less than the measure of c. If 5 wasn’t the hypotenuse then the answer would be different.
(KEEP IN MIND THAT IF 9 IS THE HYPOTENUSE THEN THE ANSWER IS YES)
Hope this helps! :)
Find the equation of the line through (2,4) and (3,-1)
y=23x+143 hope this helps
Answer:
y = -5x+14
Step-by-step explanation:
slope formula
y-y divided by x-x
4-(-1) / 2-3
5/-1 or -5
substitute into y = mx + b
4 = -5(2) + b
b = 14
If you apply the changes below to the reciprocal parent function, F(x) =
what is the equation of the new function?
• Horizontally stretch by multiplying by 1/6
• Translate 5 units right.
Answer:
The answer is "Option B".
Step-by-step explanation:
Please find the complete question in the attached file.
The Horizontal stretch [tex]=(\frac{1}{6 \ x})\\\\[/tex]
Translation by 5 units right[tex]=( \frac{1}{6\ x})-5[/tex]
Answer:
its A i used his answer and got it wrong
Solve for x. Round to the nearest tenth, if necessary.
Answer:
X = 3.2
Step-by-step explanation:
sin(42) = x/4.6
0.7 = x/4.6
3.2 = x
Which expression entered into a graphing calculator will return the probability
that 35 or fewer heads come up when flipping a coin 100 times?
A. binomcdf(35, 100, 0.5)
B. binomcdf(100, 0.5, 35)
C. binomcdf(100, 35, 0.5)
O D. binomcdf(35, 0.5, 100)
Answer:
B. binomcdf(100, 0.5, 35)
Step-by-step explanation:
Binomcdf function:
The binomcdf function has the following syntax:
binomcdf(n,p,a)
In which n is the number of trials, p is the probability of a success in a trial and a is the number of sucesses.
35 or fewer heads come up when flipping a coin 100 times.
100 coins are flipped, which means that n = 100.
Equally as likely to be heads or tails, so p = 0.5
35 or fewer heads, so a = 35.
Then
binomcdf(n,p,a) = binomcdf(100,0.5,35)
The correct answer is given by option B.
please help with the steps
Answer:
2821.51
73425.64
28124.24
4124.24
Step-by-step explanation:
Effective rate: .058/2 = .029
This question is kind of ambigous and I'll make the assumption that there is no payment at time 0
[tex]175000=x\frac{(1+.029)^{2*18}-1}{.029}\\x=2821.511[/tex]
interested earned:
175000-2821.51*36= 73425.64
2.)
Same assumption as question 1 (there is no payment at time 0)
effective rate: .063/12= .00525
[tex]400(\frac{(1+.00525)^{60}-1}{.00525})=28124.24[/tex]
Interest earned: 28124-400*60=4124.24
Answer:
First problem: monthly payment $2741.99; interest earned $76,288.36
Second problem: amount in account $28,271.90; interest earned $4271.90
Step-by-step explanation:
First problem:
You open an account with a deposit. The deposit is the first monthly payment. This means that this is an annuity in which you pay at the beginning of the pay period. That makes it into an "annuity due."
[tex] A = \dfrac{F}{\frac{(1 + i)^n - 1}{i} \times (1 + i)} [/tex]
where A = periodic payment,
F = future value
i = interest rate per compounding period, n = number of compounding periods
[tex]A = \dfrac{175000}{\frac{(1 + \frac{0.058}{2})^{2 \times 18} - 1}{\frac{0.058}{2}} \times (1 + \frac{0.058}{2})}[/tex]
[tex] A = 2741.99 [/tex]
Interest earned:
[tex] 2 \times 18 \times 2741.99 - 175000 = 76288.36 [/tex]
Second problem:
Once again, the account starts with a deposit of the monthly payment, so this is also an annuity due, meaning the payments occur at the beginning of each compounding period. Here, we are given the monthly payment, an d we need to find the future value.
[tex] F = A \times \dfrac{(1 + i)^n - 1}{i} \times (1 + i)} [/tex]
[tex] F = 400 \times \dfrac{(1 + \frac{0.063}{12})^{5 \times 12} - 1}{\frac{0.063}{12}} \times (1 + \frac{0.063}{12})} [/tex]
[tex] F = 28271.90 [/tex]
The interest earned is:
[tex] 28271.90 - 12 \times 5 \times 400 = 4271.90 [/tex]
An ice cream shop finds that its weekly profit P (measured in dollars) as a function of the price x (measured in dollars) it charges per ice cream cone is given by the function k, defined by k(x) = 125x^2 +670x 125 where P= k(x).
Required:
a. Determine the maximum weekly profit and the price of an ice cream cone that produces that maximum profit
b. The cost of the ice cream cone is too low then the ice cream shop will not make a profit. Determine what the ice cream shop needs to charge in order to break even
c. The profit function for Cold & Creamy (another ice cream shop) is defined by the function g where gx)- k(x-2). Does the function g have at the same maximum value as k?
Answer:
The answer is below
Step-by-step explanation:
Given that k(x) = -125x² +670x - 125, where x is the charge per cone and P = k(x) is the weekly profit
a) The maximum profit is at P'(x) = 0. Therefore we have to find the derivative of the profit equation and equate it to 0.
P'(x) = k'(x) = 0
k'(x) = -250x + 670 = 0
-250x + 670 = 0
250x = 670
x = $2.68
P = k(2.68) = -125(2.68²) + 670(2.68) - 125 = $772.8
Hence the maximum profit is $772.8 when the price of each ice cream cone is $2.68
b) At break even, the profit is 0. Hence P= k(x) = 0
-125x² + 670x - 125 = 0
x = 5.17 or x = 0.19
Therefore to break even, the price of the ice cream cone needs to be $0.19 or $5.17
c) g(x) = k(x - 2)
g(x) = -125(x - 2)² + 670 (x -2) - 125
Maximum profit is at g'(x) = 0
g'(x) = -250(x-2) + 670
-250(x-2) + 670 = 0
-250x + 500 + 670 = 0
250x = 1170
x = 4.68
g(4.68) = -125(4.68 - 2)² + 670(4.68 -2) - 125 = $772.8
Therefore function g has the same maximum value as function k
Find the perimeter of the figure.
Answer:
A) 60
Step-by-step explanation:
P = 5+5+11+9+(5+11)+(9+5)
P = 60
Answer:
A. 60 m
Step explanation:
Perimeter for the small cube
5+5+5+5=20
Perimeter for the rectangle
9+9+11+11=40
Add 20 plus 40 to find the perimeter for the whole shape
20+40=60
Hope this helps
Solve for d.
d + 67 = 87
р
Submit
Answer:
[tex]d=20[/tex]
Step-by-step explanation:
[tex]d+67=87[/tex]
Subtract 67 from both sides
[tex]d=20[/tex]
Hope this is helpful
Answer:
d = 20
Step-by-step explanation:
Find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches.
A 0.6
B. 0.67
C. 1.67
D. 25
Answer:
Step-by-step explanation:
At Downunder Farms, Jamie is packing kiwi fruit in shipping crates. Each tray
holds 58 kiwis, and he can put 6 trays in a crate. How many kiwis does the
crate contain when it is full?
A. 64 kiwis
B. 290 kiwis
C. 348 kiwis
D. 174 kiwis
Answer:
348 kiwis
Step-by-step explanation:
Jamie is packing Kiwie fruits into a tray
Each tray holds 58 kiwis
He can put 6 trays in a crate
Hence when the craye is full the number of kiwis it will contain can be calculated as follows
°= 58×6
= 348 kiwis
Drew hiked two trails Rocky Hill is 7 /8 miles long battle in Brook Trail is 4/5 mile long how much further did Drew hike on Rocky Hill Trail then I'll babbling Brook Trail write an equation
Help please please please
Answer:
demographic
Step-by-step explanation:
Due today.. I'm Stuck and need help please). The table shows the test scores and the sleep averages of several students. A) Write the least squares regression equation that models the data. Let x = the test score and y = average sleep. B) Use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night. Show Your Work. ( Will Mark Brainliest but no Links or nonsense answers please). Answer A and Answer B.
Answer:
Y = -0.3587+0.09118X
92 %
Step-by-step explanation:
Using technology to fit the data between the variables, test score and hours of sleep; we obtain the linear model :
Ŷ = -0.3587+0.09118X
Where, x = test score ; y = hours of sleep
To obtain the test score of a student who sleep foe 8 hours using the model :
Y = 8
Ŷ = -0.3587+0.09118X
8 = -0.3587+0.09118X
8 + 0.3587 =0.09118X
8.3587 = 0.09118X
X = 8.3587 / 0.09118
X = 91.672515
X = 92 ( approximately)
One pair of parallel sides proves a quadrilateral to be a parallelogram
True
False
A sphere with a volume of 1200 cm³ is dilated by a factor of 3/5.
The volume of the dilated image is ___ cubic centimeters.
Answer:
259.2 cm³
Step-by-step explanation:
The volume of the dilated image is
(3/5)³ × 1200= 27/125 × 1200
= 259.2 cm³
What is the volume of the cylinder below?
3
5. In the diagram shown below, BC is drawn tangent
to circle OA, and BD is a chord in that circle. If
mBD = 144º, what is mZCBD?
8
(1) 36
(2) 72
(3) 1440
(4) 180°
please help!!!
9514 1404 393
Answer:
(2) 72°
Step-by-step explanation:
In this geometry, the angle at the tangent is half the measure of the intercepted arc.
∠CBD = (arc BD)/2 = 144°/2
∠CBD = 72°
__
Additional comment
Consider a point X anywhere on long arc BD. The inscribed angle at X will have half the measure of short arc BD, so will be 144°/2 = 72°. This is true regardless of the position of X on long arc BD. Now, consider that X might be arbitrarily close to point B. The angle at X is still 72°.
As X approaches B, the chord XB approaches a tangent to the circle at B. Effectively, this tangent geometry is a limiting case of inscribed angle geometry.
Solve the inequality: 7x + 5 > 2. - 35 Show all work on the "Scratch pad".
The quotient of 4/1/2
Answer:
the quotient is 2
Step-by-step explanation:
4/1=4
4/2=2
