Answers
Answer:
Radius AC=12
Step-by-step explanation:
AB is a tangent to circle c so the tangent AB is perpendicular to the radius at A.
Then triangle ABC is right triangle at A.
So by Pythagoras theorem,
CB^2=AB^2 + AC^2
37^2= 35^2 + AC ^2
1369=1225 + AC^2
AC^2= 1369-1225= 144
AC=radical AC^2 =radical 144=12
Hope this helps...
(Note: ^ means power)
Answer:
AC = 12
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2
AC ^2 + AB ^2 = CB^2
AC ^2 +35^2 = 37^2
AC ^2 +1225=1369
Subtract 1225
AC^2 = 1369-1225
AC ^2 =144
Take the square root of each side
AC = sqrt(144)
AC = 12
Related Questions
Follow the steps to finish solving the equation -3x + 18 = 7x
1. Add 3x to both sides to isolate the variable term.
2. Divide both sides by 10.
Xa
Answers
Answer:
Don’t really know what the question is, but these are the answers for x
does any of yall know the answer to this shat?
Answers
Answer:
s=2
Step-by-step explanation:
subtract 21 from both sides= -3s=-6
divide by -3 to get s alone
s=2
s = 2
Step-by-step explanation:
subtract 21 to both sides
-3s= -6
then divide by -3 both sides to isolate s variable
s= 2
last week caroline worked 8 hours each day and she worked 5 days that week she earned $440 pounds so per hour she earned £11
this week she is going to work 7 hours each day for 4 days
work out the percent reduction
Answers
Answer:
30%
Step-by-step explanation:
this week:
4 × 7 = 28 hours
earns: 28 × 11 = £308
reduction: 440 - 308 = 132
% reduction
132/440 × 100
30%
A race awards prizes for the first and second place winners. If 10 people enter the race, how many different ways can the prizes be awarded?
Group of answer choices
90
10
45
20
Answers
Answer:
10
Step-by-step explanation:
there is only ten ways to do it
Frankie was practicing for a 5 kilometer race his normal time is 31 minutes and 24 seconds but yesterday he took 29 minutes and 50 seconds how much time came of his normal time
Answers
Answer: 1 minute 34 seconds
Step-by-step explanation:
From the question, Frankie was practicing for a 5 kilometer race and his normal time is 31 minutes and 24 seconds but yesterday he used 29 minutes and 50 seconds. To calculate how much time came of his normal time, we are going to find the difference between the yesterday's time and normal time. This will be:
31 minutes 24 seconds - 29 minutes 50 seconds = 1 minute 34 seconds
A company determined that the budgeted cost of producing a product is $30 per unit. On June 1, there were 84000 units on hand, the sales department budgeted sales of 350000 units in June, and the company desires to have 130000 units on hand on June 30. The budgeted cost of goods sold for June would be
Answers
Answer:
The budgeted cost of goods sold in June is $ 10,500,000
Step-by-step explanation:
In order to determine the budgeted cost of goods sold,we need to first and foremost establish goods sold in quantity terms as follows:
goods sold=opening stock+goods produced-closing stock
goods produced=sales-opening stock+closing stock
goods produced=350,000-84,000+130,000=396,000
goods sold=84,000+396,000 -130,000=350000
The cost of producing one unit is $30
costs of goods sold=goods sold*production cost per unit=$30*350000 =
$ 10,500,000.00
Alternatively:
sales units *unit cost of production=$30*350,000=$ 10,500,000.00
During December,an electronics store saw a 27% increase in video game sales.If the store sold an average of $47,300 in video games during each other month,how much more money did it earn in December for video game sales?
Answers
Answer:
It earned $12,771 more in December.
Step-by-step explanation:
This question can be solved using a rule of three.
During an average month, we have that 100% = 1 is $47,300.
During December, the amount is $x, and it is 100% + 27% = 127% = 1.27. So
1 - $47,300
1.27 - $x
x = 1.27*47,300
x = 60,071
It earned $60,071 in December.
Compared to other months, it earned $60,071 - $47,300 = $12,771 more in December.
Mr. Tuyen uses 3 4 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 3 weeks? Enter your answer as a fraction and as a mixed number.
Answers
Answer:
[tex]\frac{9}{4}[/tex] or [tex]2\frac{1}{4}[/tex]
Step-by-step explanation:
If Mr. Tuyen used 3/4 of a tank in a week, then in three weeks, he would use that same amount times three.
So: [tex]\frac{3}{4}[/tex] x 3 = [tex]\frac{9}{4}[/tex]
Hope this helps :)
Why is 29 a prime number
Answers
Answer:
29 is a prime number because it has only two distinct divisors: 1 and itself.
what is the voulme of a cube with the side length of 5
Answers
Answer:
This is the correct answer
Step-by-step explanation:
The V = 125
How many hundredths are in one tenth? Explain using pennies and dimes.
Answers
Answer:
11 ways
100 Pennies & 0 Dimes
90 Pennies & 1 Dimes
80 Pennies & 2 Dimes
70 Pennies & 3 Dimes
60 Pennies & 4 Dimes
50 Pennies & 5 Dimes
40 Pennies & 6 Dimes
30 Pennies & 7 Dimes
Step-by-step explanation:
What the simplified radical form is
Answers
Answer:
3√7
Step-by-step explanation:
√63
√3x21
√3x3x7
3√7
Hope it help
The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is
called the ____ of the angle.
A. sine
B. secant
C. cosine
D. cosecant
Answers
Answer:
cosine I think
Step-by-step explanation:
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle. Then the correct option is A.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is called the sine of the angle.
The sine is given as the side opposite to the angle is known as perpendicular.
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle.
More about the trigonometry link is given below.
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12x – 10 > 10x – 20 solve for x
Answers
Answer:
x>-5
Step-by-step explanation:
12x-10>10x-20
2x-10>-20
2x>-10
x>-5
12x-10x>10-20
2x>-10
X>-5
Describe the process for calculating the volume of a cylinder.
Answers
Answer:
the formulae for the volume of a cylinder= πr²h
so we then put the figures at their respective positions. and for the pie we put either 22/7 or 3.143 or 3.14
A rectangles length is three more than twice the width. The perimeter of the rectangle is 72 units. Write a let statement that can be used to find the length and width of the rectangle. Write an equation that can be used to find the length and width of the rectangle. Solve the equation. What is the length of the rectangle? What is the width of the rectangle?
Answers
Answer:
The length is 25 units and the width is 11 units
Step-by-step explanation:
Let the length of the rectangle be l.
Let the width of the rectangle be w.
We are given that the length of the rectangle is three times more than twice its width. This means that:
l = 3 + 2w
The perimeter of a triangle is given as:
P = 2(l + w)
This implies that:
P = 2[(3 + 2w) + w]
P = 2(3 + 3w)
We can use this to find the width of the rectangle and then the length.
The perimeter of the rectangle is 72 units.
Therefore:
72 = 2(3 + 3w)
72 = 6 + 6w
=> 6w = 72 - 6 = 66
w = 66 / 6 = 11 units
The length, l, is therefore:
l = 3 + 2(11) = 3 + 22 = 25 units
Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch's 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo's margin of error, rounded to the nearest whole number? (The formula is )
Answers
Answer:
Jo Margin of error is 20
Step-by-step explanation:
The expression for calculating Margin of error is = [tex]Z_{critical } *\dfrac{{Sd} }{\sqrt{n} }[/tex]
From the given question:
[tex]Z_{critical} = 1.96[/tex]
standard deviation sd = 50
sample size = 25
THUS; the Margin of error is :
[tex]1.96*\dfrac{{50} }{\sqrt{25} }[/tex]
[tex]1.96*\dfrac{{50} }{5 }[/tex]
[tex]1.96*10}[/tex]
[tex]19.6[/tex]
≅ 20 (to the nearest whole number)
Hence; Jo Margin of error is 20
Which of theses numbers are prime
7,42,65,87,95
Answers
Answer:
7
Step-by-step explanation:
7 is a prime number. hope this helps!! moo!
Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism cm20, wide by cm28, long. Whitney puts 1848 cm cubed of batter into the pan.
Answers
Answer:
3.3 cm
Step-by-step explanation:
Volume of a rectangular prism =Length X Width X Height
Volume of the cake batter [tex]=1848cm^3[/tex]
The cake pan is a right rectangular prism 20cm wide by 28cm long.
Therefore:
1848=20 X 28 X Depth
1848=560 X Depth
Depth=1848/560
Depth of the batter=3.3 cm
The batter is 3.3cm deep in the pan.
3. A publisher printed 30,000 copies of an edition of a book. Each copy of the book cost the publisher 45Gp to produce and it is sold to the public for 76Gp. The publisher agrees to pay the author 10% of the selling price of the first 6000 copies sold, and 12% of the selling price for all copies sold in excess of 6000. Altogether 25,300 copies of the book are sold. Calculate, correct to the pesewa: I) the total amount received by the author
Answers
Answer:
The total amount received by the author is of 221,616Gp.
Step-by-step explanation:
25,300 copies sold.
For the first 6000, he receives 10% of the selling price of 76 Gp.
For those in excess of 6000, that is, the next 25300 - 6000 = 19300, he receives 12% of the selling price of 76 Gp.
Total amount received by the author:
6000*0.1*76 + 19300*0.12*76 = 221,616
The total amount received by the author is of 221,616Gp.
1/4(X-10)=2X+1
what is X?
Answers
Answer: [tex]x=-2[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}(x-10)=2x+1[/tex]
Distribute 1/4
[tex]\frac{1}{4}x-\frac{1}{4}(10)=2x+1[/tex]
[tex]\frac{1}{4}x-\frac{5}{2}=2x+1[/tex]
add 5/2
[tex]\frac{1}{4}x-\frac{5}{2}+\frac{5}{2}=2x+1+\frac{5}{2}[/tex]
[tex]\frac{1}{4}x=2x+\frac{1*2+5}{2}[/tex]
[tex]\frac{1}{4}x=2x+\frac{2+5}{2}[/tex]
[tex]\frac{1}{4}x=2x+\frac{7}{2}[/tex]
Subtract 2x
[tex]\frac{1}{4}x-2x=2x-2x+\frac{7}{2}[/tex]
[tex]\frac{1}{4}x-2x=\frac{7}{2}[/tex]
[tex]\frac{1-2*4}{4}x=\frac{7}{2}[/tex]
[tex]\frac{1-8}{4}x=\frac{7}{2}[/tex]
[tex]-\frac{7}{4} x=\frac{7}{2}[/tex]
Multiply by the negative reciprocal of -7/4 which is basically inverting the fraction -4/7
[tex](-\frac{4}{7} )-\frac{7}{4} x=\frac{7}{2}(-\frac{4}{7} )[/tex]
[tex]x=-\frac{28}{14}\\ x=-2[/tex]
A playground area is going to be built in a zoo park. The shape of the playground is shown below. This area will be covered with recycled rubber chips. Each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot. How much will it cost to install the rubber chips?
Answers
Answer:
$2075.75
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information;
rubber chips costs $52.50 per square foot
We need to find the area of the playground,
1. We find the area of the rectangle:The length: 8ft
The width: 4 ft
=> the area of it is: 8*4 = 32 square foot.
2. We find the area of the 1st identical trianglesThe base: 3 ft
The height: 2 ft
=> the area of it is = 1/2*3*2 = 3 square foot.
3. We find the area of the 2nd identical trianglesThe base: 3 ft
The height: 3 ft
=> the area of it is = 1/2*3*3 = 9/2 square foot.
=> the total area of the playground is: 32 + 3 + 9/2 = 39.5 square foot.
So the total cost to install the rubber chips is:
= 39.5 * $52.5
= $2075.75
Hope it will find you well.
The $2625 is the cost to install the rubber chips if each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
First, we find the area of the rectangle = (8+3)×4 = 44 square feet
Area of the two triangle = 2(1/2)[2×3] = 6 square feet
Area of the complete figure = 44+6 = 50 square feet
Each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.
Total cost = 50×52.50 = $2625
Thus, the $2625 is the cost to install the rubber chips if each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.
Learn more about the rectangle here:
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Which shape is NOTa trapezoid
Answers
Answer:
The bottom left
Step-by-step explanation:
it has no pairs of parallel sides
Answer:
Step-by-step explanation:
Trapezoid should have a pair of parallel lines.
Bottom left figures does not have parallel lines. So it is not a trapezoid.
Which of the following probabilities is the greatest for a standard normal distribution?
P(-1.5 575-0.5)
P(-0.5 SZ30.5)
P(0.5 5731.5)
P(1.5 523 2.5)
Answers
Answer: it’s actually b for edge 2020
Step-by-step explanation:
The probabilities greatest for a standard normal distribution is
P(-0.5 SZ30.5) i.e. 38.2%
What is a standard normal Distribution ?A special normal distribution where the mean is 0 and the standard deviation is 1. It is also called the z-distribution .
For the data given in the question
P(-1.5 575-0.5)
P(-0.5 SZ30.5)
P(0.5 5731.5)
P(1.5 523 2.5)
[tex]P_{r} (-1.5 \leq z \leq 0.5) = 0.092 +0.15=0.242\\\\P_{r} (-0.5 \leq z \leq 0.5)= 0.191+0.191= 0.382\\\\P_{r} (0.5 \leq z \leq 1.5)= 0.15+0.092=0.242\\P_{r} (1.5 \leq z \leq 2.5)= 0.044+0.017=0.061[/tex]
From the given data the second data is the highest 0.382 , so the correct answer is P(-0.5 SZ30.5).
To know more about standard normal Distribution
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Brainliest!!!
What is 30 divided by 5?
Really Easy!
Answers
Answer:
6
Step-by-step explanation:
Answer:
The answers 6 gorgious
A ski run is 1000 yards long with a vertical drop of 208 yards. Find the angle of depression from the top of the ski run to the bottom.
Answers
Answer:
angle of depression = -12 degrees
Step-by-step explanation:
Sin = opposite/hypotenuse
sin = -208/1000
inv sin 0.208 = -12
To solve this problem, we just need to use trigonometric ratio and use the ratio that best fits this problem. The angle of depression is equal to 76.23 degrees.
Trigonometric RatioUsing SOHCAHTOA, we can easily solve this problem, but we need to first know which ratio to use
Data;
opposite (ski run) = 1000 yardsadjacent (vertical drop) = 208 yardssince we have the value of opposite and adjacent, we can solve this using the tangent of the angle
[tex]tan\theta = \frac{opposite}{adjacent} \\tan \theta = \frac{1000}{208} \\tan\theta = 4.807\\\theta = sin^-^1 (4.0807)\\\theta = 76.23^0[/tex]
From the calculation above, the angle of depression is equal to 76.23 degrees.
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Two student fill the fish tank with.The fish hold 4gallon of water the-students each has a measuring cup.How many times do the student need to fill the one cup measured To get 4gallon?
Answers
there are 16 cups in a gallon so 16 times 4
Can somebody help me with this question. I need to choose one answer.
Answers
We are trying to find H.
8+h/10=1
Both sides have to equal 1.
So if we input h=2, then 8+2=10.
10/10=1
1=1
The answer will be B, h=2.
I hope this helps! :)
Answer:
the answer is B
Step-by-step explanation:
8+2=10 and 10/10=1
for the inverse variation equation p= 8/v what is the value of p when V=1/4?
Answers
Answer:
for v=1/4 , p=32
Step-by-step explanation:
p=8:1/4=8*4/1=32
Answer:
D: 32
Step-by-step explanation:
For edge
If one factor of x2 + 2x - 24 is (x+6), what is the other factor?
eOf
(x+8)
(x-8)
(x+4)
(x-4)
Answers
Answer:
(x - 4)
Step-by-step explanation:
Given
x² + 2x - 24
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 2)
The factors are + 6 and - 4, since
6 × - 4 = - 24 and 6 - 4 = + 2, thus
x² + 2x - 24 = (x + 6)(x - 4) ← in factored form
Thus the other factor is (x - 4)
The solution is Option D.
The equation x² + 2x - 24 = 0 has the factors as ( x + 6 ) and ( x - 4 )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
x² + 2x - 24 = 0 equation (1)
The equation can be factorized as
x² + 6x - 4x - 24 = 0
Taking x as the common factor , we get
x ( x + 6 ) - 4 ( x + 6 ) = 0
So , the equation will be
( x + 6 ) ( x - 4 ) = 0
Therefore , the factors of x are -6 and 4
Hence , the factors of the equations are ( x + 6 ) and ( x - 4 )
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