On the circle below, tangent line BC¯¯¯¯¯ is constructed by striking an arc from point D that intersects circle A at point B. The measure of EC¯¯¯¯¯ is 8 units and other measures are shown on the diagram below. Enter the distance from point D to point B.
Answers
Answer:
[tex]\huge\boxed{BD = 12\ units}[/tex]
Step-by-step explanation:
If AB = 5 , then AE = 5 [Radii of the same circle]
So,
AC = AE + EC
AC = 8+5
AC = 13 units
Now, Using Pythagorean theorem to find the missing side i.e. BD because tangent strikes the circle at 90 degrees making the triangle a right angled triangle
[tex]c^2=a^2+b^2[/tex]
Where c = AC , a = BD and b = AB
[tex]13^2 = BD^2+5^2[/tex]
169 = BD² + 25
Subtracting 25 to both sides
169 - 25 = BD²
BD² = 144
Taking square root on both sides
BD = 12 units
Related Questions
I need help! Answer as fast as you can. Marking brainlyiest
Answers
Answer:
A
Step-by-step explanation:
We can break down what each term represents in the equation
60 is the constant. This is the base price that is paid regardless of workers and hours needed
Then there is 12nh. 12 represents the cost per hour for one worker. If the job takes only one hour, then it is 12 dollars per worker. Similarly, if the job only takes one person, then it is 12 dollars for each hour.
The most accurate answer is A
What’s the function of the Unit Circle and why is it called the unit Circle?
Answers
Answer:
It is a unit of radius that is radius of 1. Thus, the distant to the middle to any edge is always 1.
Step-by-step explanation:
4 > - 4404 true or false
Answers
Answer:
True
Step-by-step explanation:
-4404 is always smaller than 4Answer:
true as positive are bigger than negetive
Step-by-step explanation:
Given the range (1, 1),(4,2), (2, -1), with a coordinate transformation of f(x, y) = (x+1, y-1), what is the
domain?
Answers
=============================================
Explanation:
The rule f(x,y) = (x+1,y-1) says to add 1 to the x coordinate and subtract 1 from the y coordinate. So let's say the input point is (7,2). This would move it to (8,1).
Now let's say that you accidentally erased the "(7,2)", but you still have the "(8,1)". You'd have to work through the steps backwards to get back to (7,2)
So you'll effectively use this rule g(x,y) = (x-1, y+1) which is the inverse transformation. Whatever f(x,y) does, the g(x,y) function will undo it and go opposite. We'll subtract 1 from the x coordinate and add 1 to the y coordinate.
------------
So that's what we'll do with the set of points { (1,1), (4,2), (2,-1) }
We have (1,1) become (0,2) after applying the g(x,y) rule
(4,2) becomes (3,3) after using g(x,y)
(2,-1) becomes (1,0) after using g(x,y)
Therefore, the domain is { (0,2), (3,3), (1,0) }
-------------
The mapping diagram is shown below.
Find the radius of a circle that has an area of 6.76 cm². Use it for pi.
Answers
Answer:
radius = 1.47 cmStep-by-step explanation:
Area of a circle = πr²
where
r is the radius
From the question
Area = 6.76 cm²
To find the radius substitute the value of the area into the above formula and solve for the radius
That's
[tex]6.76 = \pi \: {r}^{2} [/tex]
Divide both sides by π
We have
[tex] {r}^{2} = \frac{6.76}{\pi} \\ r = \sqrt{ \frac{6.76}{\pi} } [/tex]
r = 1.46689291
We have the final answer as
radius = 1.47 cm
Hope this helps you
Camila llama a cuatro compañeras y les informa sobre una campaña de recoleccion de alimentos. Cada una de estas amigas llama a otras cuatro amigas para contarles sobre la campaña, y luego estas llaman a 4 nuevas amigas.¿cuantas amigas se enteran de este llamado?
Answers
Answer:
El total de amigos que se enteran del es 84 amigos.
Step-by-step explanation:
Camila llama a cuatro acompañantes y les informa sobre una colecta de alimentos. Cada uno de estos amigos llama a otros cuatro amigos para contarles sobre la campaña, y luego llaman a 4 nuevos amigos. ¿Cuántos amigos se enteran de esta llamada?
El número de compañeros que llamó Camila = 4 amigos
Cada uno de los cuatro amigos llamó a otros cuatro amigos para hacer = 4 × 4 = 16 amigos
Cada uno de los dieciséis amigos llamó a otros cuatro amigos para hacer = 16 × 4 = 64 amigos
Por lo tanto, el número total de amigos que se enteran de la llamada para dar información sobre una colecta de alimentos = 4 + 16 + 64 = 84 amigos.
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 4 centimeters long, and the height of the equilateral triangle is 3.5 centimeters. The pyramid's slant height is 8 centimeters. What is its surface area?
Answers
Answer:
The surface area is 55 cm².
Step-by-step explanation:
The formula to compute the surface area of the triangular pyramid is:
[tex]SA=(0.50\times \text{Base Perimeter}\times h)+\text{Base Area}[/tex]
Here h is the slant height.
Compute the Base perimeter as follows:
Perimeter of the equilateral triangle = 3 × side
= 3 × 4
= 12 cm
Compute the Base area as follows:
Area of the equilateral triangle = 0.50 × side × height
= 0.50 × 4 × 3.50
= 7 cm²
Compute the surface area as follows:
[tex]SA=(0.50\times \text{Base Perimeter}\times h)+\text{Base Area}[/tex]
[tex]=(0.50\times 12\times 8)+7\\=48+7\\=55\ \text{cm}^{2}[/tex]
Thus, the surface area is 55 cm².
A teacher is experimenting with a new computer-based instruction and conducts a study to test its effectiveness. In which situation could the teacher use a hypothesis test for matched pairs?
The teacher gives each student in the class a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a post-test. The teacher wants to see if the difference in scores will show an improvement.
The teacher randomly divides the class into two groups. One of the groups receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student takes a test and the teacher wants to compare the performance of the two groups.
The teacher uses a combination of traditional methods and computer-based instruction. She asks students which they liked better. She wants to determine if the majority prefer the computer-based instruction.
Answers
Answer:
The teacher gives each student in the class a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a post-test. The teacher wants to see if the difference in scores will show an improvement.
Step-by-step explanation:
In hypothesis testing, there is a premise or a claim where an analyst want to test or to investigate in an experiment. In this study, different sampling methods are being carried out.
In hypothesis testing, we usually have the null hypothesis and the alternative hypothesis.
The null hypothesis is an established hypothesis which is usually denoted by [tex]H_o[/tex] and it is a currently accepted value or default for a parameter.
On the other hand the alternative hypothesis or the research hypothesis denoted by [tex]H_a[/tex] came into place to challenge the study to be tested.
In the given question , the teacher wants to see the difference in the outcome of the test scores if there will be an improvement. The same is true for hypothesis testing, we tends to see the difference in the test statistics result maybe it is significant or not in order to determine the conclusion on the null hypothesis.
(08.02)How many solutions are there for the system of equations shown on the graph? No solution One solution Two solutions Infinitely many solutions
Answers
Answer: Infinitely many solutions
Step-by-step explanation:
There are many solutions because the lines lies on top of each other.
i dont know the exact answer but its not
One solution
Two solutions
so its most likely
Infinitely many solutions
what is (a x b) x c if a = 2, b = 8, and c = 12? PLEASE HELP!!
Answers
Answer:
192
Step-by-step explanation:
(a x b) x c
Let a=2 b=8 c=12
(2 * 8) * 12
16 * 12
192
Answer:
192Step-by-step explanation:
[tex]a = 2\\b = 8\\c = 12\\\\(a \times b) \times c\\\\(2 \times 8) \times 12\\\\(16) \times12\\\\= 192[/tex]
the sum of three consecutive numbers is 276. What is the smallest of these intengers?
Answers
Answer:
91
Step-by-step explanation:
Let x be the smallest one:
● x is the first number
● x+1 is the second number
● x+2 is the third number
The sum of these numbers is 276
● x+(x+1)+(x+2) =276
● x+x+1+x+2 = 276
● 3x + 3 = 276
Substract 3 from both sides:
● 3x+3-3 = 276-3
● 3x = 273
Divide both sides by 3
● (3x)/3 = 273/3
● x = 91
So the smallest one is 91
What is the radical equivalent for 197^7/8?
Answers
Answer:
[tex]\sqrt[8]{197^{7} }[/tex]
Step-by-step explanation:
[tex]\sqrt[8]{197^{7} }[/tex]
the length of rectangle is 6/5 of its breath and perimeter is 132 m find area of rectangle
Answers
Answer:
1,080 meters squared.
Step-by-step explanation:
Let's say the breadth of the rectangle is x. That means the length of it is 6/5x.
The perimeter is 132 meters. The formula for the perimeter is 2 times the breadth plus two times the length.
2(x) + 2(6/5x) = 132
2x + 12/5x = 132
10/5x + 12/5x = 132
22/5x = 132
22x = 660
x = 30.
That means that the breadth of the rectangle is 30 meters, and the length is (6/5) * 30 = 6 * 6 = 36 meters.
The formula for the area of the rectangle is the breadth times the length, so the area is 36 * 30 = 1,080 meters squared.
Hope this helps!
Calvin has 80 meters of fencing to enclose his rectangular garden. He wants the garden’s length to be 12 meters greater then its width. Find the length and width of the garden.
a) 12m x 28m
b) 14m x 26m
c) 12m x 24m
d) 18m x 22m
Pls help!
Answers
Answer:
a
Step-by-step explanation:
a because when you divide 80 by 12 you get 28, so then it is 12 x 28m. :/
Answer:
Width W = 14 m
Length L = 26 m
Step-by-step explanation:
Perimeter of a rectangle = 80 m = 2L + 2W
L = 12 + W
80 = 2L + 2W
80 = 2(12 + W) + 2W
80 = 24 + 2W + 2W
80 - 24 = 4W
56 = 4W
W = 56 / 4
W = 14 m
L = 12 + W
L = 12 + 14
L = 26 m
check:
80 = 2L + 2W
80 = 2(26) + 2(14)
80 = 52 + 28
80 = 80 ---- OK
Calculate YZ if WY = 25, XY = 23, and VZ = 35
Answers
Answer:
WY= 25
XY= 23
VZ=36
so,
WY/XY = YZ/VZ
25/23 = YZ/25 (then do cross multiply)
25×25 = 23 × YZ
625= 23 × YZ
625/23= YZ
27,17= YZ
#i'm indonesian
#hope it helps.
Answer:
[tex]\huge \boxed{13.04}[/tex]
Step-by-step explanation:
The triangles are congruent, we can use ratios to solve.
WY/XY = (WY+YZ)/VZ
Let the length of YZ be x.
25/23 = (25+x)/35
Cross multiply.
23(25+x) = 25 × 35
575 + 23x = 875
Subtract 575 from both sides.
575 + 23x - 575 = 875 - 575
23x = 300
Divide both sides by 23.
(23x)/23 = 300/23
x = 13.0434782609...
On one day, the stock of Seraj Food Technologies went up by $30\%.$ The next day, the stock fell by $30\%.$ Over the two days, the stock fell overall by $x$ percent. What is $x$?
Answers
Since the stock went up by 30% and fell by 30%, the net increase is 0%. So x = 0.
The price of tiling a room varies directly as the size of the room. Sam is laying tile in his kitchen. If the tiling costs $4,224.00 for 264 square feet, what is the size of a kitchen that costs $3,824.00?
Answers
Answer:
239 ft².
Step-by-step explanation:
Let P represent the price for tiling.
Let S represent the size of the room.
From the question,
Price (P) varies directly as the size (S) i.e
P & S
P = KS
Where K is the constant of proportionality.
Next, we shall determine the value of K as follow
Price (P) = $ 4224
Size (S) = 264 ft²
Constant of proportionality (K) =?
P = KS
4224 = K × 264
Divide both side by 264
K = 4224/264
K = 16
Finally, we shall determine the size of the kitchen that will cost $ 3824 for tiling.
This is illustrated below:
Price (P) = $ 3824
Constant of proportionality (K) = 16
Size (S) =?
P = KS
3824 = 16 × S
Divide both side by 16
S = 3824/16
S = 239 ft²
Therefore, the size of the kitchen is 239 ft².
(x - y) + 2y + x3, when x = -3 and y=7
plss help
Answers
how many are 1 raised to 3 ???
Answers
Answer:
1
Step-by-step explanation:
1^3
This is 1 multiplied by itself 3 times
1*1*1
1
Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years.
Answers
Answer:
y = 100(3)^t
Step-by-step explanation:
Use the formula y = P(1 + r)^t where y is the new amount, P is the starting amount, r is the rate as a decimal, and t is the time.
Plug in the values given:
y = 100(1 + 2)^t
y = 100(3)^t
Answer:
Step-by-step explanation:
y = 100(3)^t
HELP SOMEONE PLEASE!!!!! Factor completely 10x2 + 2x − 8. 2
(5x − 1)(x + 4) 2(5x − 4)(x + 1) 2(5x + 2)(x − 2) 2(5x − 2)(x + 2)
Answers
Answer:
2(5x - 4)(x + 1)
Step-by-step explanation:
10x^2 + 2x − 8 =
First, factor out the GCF of all terms which is 2.
= 2(5x^2 + x - 4)
5x^2 factors into 5x and x.
= 2(5x )(x )
-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.
= 2(5x - 4)(x + 1)
Answer:
[tex]\large \boxed{2(5x-4)(x+1)}[/tex]
Step-by-step explanation:
[tex]10x^2 + 2x - 8[/tex]
Rewrite 2x as 10x - 8x.
[tex]10x^2 + 10x-8x - 8[/tex]
Factor out the two groups.
[tex]10x(x+1)-8(x+1)[/tex]
Take x+1 as a common factor.
[tex](10x-8)(x+1)[/tex]
Factor 10x - 8.
[tex]2(5x-4)(x+1)[/tex]
Rearrange the equation so x is the independent variable. y+6=5(x-4)
Answers
Answer:
x = (y + 26)/5
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
y + 6 = 5(x - 4)
Step 2: Distribute
y + 6 = 5x - 20
Step 3: Isolate x
y + 26 = 5x
Step 4: Isolate variable x
(y + 26)/5 = x
Step 5: Rewrite
x = (y + 26)/5
Answer:
y = 5x - 26
Step-by-step explanation:
Since x is the independent variable, you have to solve for y.
y + 6 = 5(x-4)
Now distribute:
y + 6 = 5x - 20
subtract the 6 from both sides
y + 6 - 6 = 5x - 20 - 6
y = 5x - 26
pls help. A granola mix sells for $8.99 a pound. Tung wants to buy a bag of granola mix that weighs 7.8 pounds. The bag of granola mix will cost about $16. $17. $63. $72.
Answers
Answer:
about 72 dollars
Step-by-step explanation
"about" tells us to round our numbers. Therefore, 7.8 becomes 8. As each pound is $8.99, we multiply the two and get 71.92, which is "about" 72.
Answer:
$72
Step-by-step explanation:
To find the cost, multiply the price per pound by the number of pounds.
8.99(7.8)
= 70.12
This is closest to $72
PLEASE help me with this question! No nonsense answers please. This is really urgent.
Answers
Answer:
15.6 ft²
Step-by-step explanation:
Given:
Radius (r) of circle = 5.7 ft
m<CBD = 55°
Required: Area of the shaded sector
SOLUTION:
Area of shaded sector = θ/360*πr²
Where,
θ = 55°
π = 3.14
r = 5.7 ft
Plug in your values
[tex] Area = \frac{55}{360}*3.14*5.7^2 [/tex]
[tex] Area = \frac{55}{360}*3.14*32.49 [/tex]
[tex] Area = 15.59 [/tex]
Area of shaded sector to nearest tenth = 15.6 ft²
Answer:
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Step-by-step explanation:
u suck balls
Point R is on line segment QS. Given QR=3 and QS=17, determine the length RS.
Answers
Answer:
14
Step-by-step explanation:
RS = QS - QR
RS = 17 - 3
RS = 14
Answer:
[tex]\large \boxed{14}[/tex]
Step-by-step explanation:
Point R is on the line segment QS.
QS = QR + RS
Solve for RS.
RS = QS - QR
RS = 17 - 3
RS = 14
Water flows through a pipe at a rate of 710 pints per day. Express this rate of flow in cubic feet per month. Round your answer to the nearest whole number.
Answers
Answer:
356 ft³ per month.
Step-by-step explanation:
From the question,
Water flows at a rate of 710 pints per day.
We shall convert 710 pints to cubic feet (ft³).
This can be obtained as follow:
1 pint = 0.0167 ft³
Therefore,
710 pints = 710 × 0.0167 = 11.857 ft³
From the calculations made above, 710 pints is equivalent to 11.857 ft³.
Thus, we can say that water flows at a rate of 11.857 ft³ per day.
Finally, we shall determine the rate of flow of water in cubic feet per month.
Note: there are 30 days in a month.
Water flow at a rate of 11.857 ft³ per day.
Therefore, the rate of flow of water in 30 days will be = 30 × 11.857 ft³ = 356 ft³
Thus, the flow rate of water is 356 ft³ per month.
A manufacturing company is expected to pay a dividend of br. 1.25 per share at the end of the year (D1=br.1.25). The stock sells for br. 32.50 per share and its required rate of return is 10.5%. The dividend is expected to grow at some constant rate forever. What is the growth rate
Answers
Answer:
the equilibrium expected growth rate is 6.65%
Step by step Explanation:
We were given stock sold per share of $32.50
Dividend per share =$1.25
Required Return rate = 10.5%
Then we can calculate Percentage of Dividend for share as;
dividend of br. 1.25 per share at the end of the year (D1=br.1.25)
= 1.25×100= 125
Let the dividend percentage = y
stock sold per share × y= 125
125= 32.50y
y = 125/32.50
y= 3.85
y= 3.85*100%
Then the Dividend percentage = 3.85%
Growth rate=(required rate of return -Dividend percentage)
= 10.5 - 3.85 = 6.65
Therefore, the equilibrium expected growth rate is 6.65%
Suppose that F(x) = x? and g(x) = -3x? Which statement best compares the
graph of G(x) with the graph of F(x)?
Answers
Answer:
flipped over the x-axis and stretched verticallyStep-by-step explanation:
Multiplying y by a value greater than 1 results in a vertical stretch. When the sign of it is negative there is a reflection over the x-axis. The appropriate choice is shown below.
__
The second attachment shows how the graph is flipped and stretched.
A highway measuring 90 feet x 7 feet requires 1/2 a fluid ounce of cleaning situation per square root how much cleaning situation is required to clean the hallway
Answers
Answer:
1260 ounce of the fluid.
Step-by-step explanation:
Dimension of hallway = 90 feet × 7 feet
Area of the hallway = 90 × 7
= 630 square feet
Given that 1/2 (0.5) of a fluid ounce is required per square foot, the amount of cleaning situation to clean the hallway can be determined as;
= [tex]\frac{area of hallway}{cleaning situation per foot}[/tex]
= [tex]\frac{630}{0.5}[/tex]
= 1260 ounce
The amount of cleaning situation required to clean the hallway is 1260 ounce of the fluid.
What is the simplified expression for 22 • 2?
24
O 20
021
O 22
0 23
Answers
2^1 would be the answer.
2^2 x 2^3 is 32
2^4 is 16
32/16 is 2
2^1 is 2 so the answer is 2^1
Answer:
2¹
Step-by-step explanation:
When multiplying exponents of the same base, you can simply add the exponents together so 2² * 2³ = 2⁽²⁺³⁾ = 2⁵. When dividing exponents of the same base, you can simply subtract the exponents so 2⁵ / 2⁴ = 2⁽⁵⁻⁴⁾ = 2¹.
