Answer:
24
Step-by-step explanation:
Objective: Circle Theorems. Understand that if two tangents of a circle are tangent to the same point, they are equal.
Using that this means that
DB equal CB.
[tex]5x + 20 = 10x + 16[/tex]
[tex]20 = 5x + 16[/tex]
[tex]4 = 5x[/tex]
[tex]x = \frac{4}{5} [/tex]
Plug in line CB, 5x+20 to find the answer.
[tex]5( \frac{4}{5} ) + 20 = 24[/tex]
The length of the tangent BC will be 24 units. Then the correct option is A.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
The tangent BD = 10x + 16 and BC = 5x + 20.
If the tangents are drawn from a point outside the circle. Then the length of the tangents will be equal. Then we have
BD = BC
10x + 16 = 5x + 20
5x = 4
x = 0.8
Then the length of the tangent BC will be
BC = 5(0.8) + 20
BC = 4 + 20
BC = 24 units
Then the correct option is A.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ2
The function f(x)= StartRoot negative x EndRoot is shown on the graph.
On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 4, 2).
Which statement is correct?
The range of the graph is all real numbers less than or equal to 0.
The domain of the graph is all real numbers less than or equal to 0.
The domain and range of the graph are the same.
The range of the graph is all real numbers.
Answer:
The domain of the graph is all real numbers less than or equal to 0
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
The domain of the graph is all real numbers less than or equal to 0.
I just need help on this is all
Can someone help me with this.
Answer:
33.51 sq units
Step-by-step explanation:
A=Θπr^2/360= 60 x pi x 8^2/360=33.51032164=33.51 sq units
find (a) the perimeter and (b) the area of the figure. use 3.13 or 22/7 for n. round your answer to the nearest hundredth, if necessary
Answer:
;)))
Step-by-step explanation:
During the carnival, tickets were sold for a raffle. Carnival workers counted sales every 30 minutes. The number of tickets sold were: 123, 145, 110, 256, 123. What was the median number of tickets sold?
Answer:
123
Step-by-step explanation:
First arrange in ascending or descending order
110,123,123,145,256
Then pick the number in the middle which is 123
but if you have 2 middle numbers add them together and divide by 2
Mariano quiere comprar un reloj de $4500. por el pago de contado le hacen un descuento de 900$. a) Qué porcentaje es el descuento? *
Answer:
100
Step-by-step explanation:
PLSSS HELP I ONLY HAVE A FEW MINUTES LEFT.
Which of the following is equivalent to 2^3sqrt x^4
Answer:
Hi, there your answer is C
Step-by-step explanation:
You have to rewrite as rational [tex]2x^{\frac{4}{3} }[/tex]exponents
Use this to help you rememeber
[tex]\sqrt[n]{a^{x} } =a^{\frac{x}{n} }[/tex]
Hope this helps :)
Answer:
2[tex]x^{\frac{4}{3} }[/tex]
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]\sqrt[n]{x^{m} }[/tex] = [tex]x^{\frac{m}{n} }[/tex] , then
2[tex]\sqrt[3]{x^{4} }[/tex]
= 2[tex]x^{\frac{4}{3} }[/tex]
4D+5P=$25
3D+4P=$26
Find the Value of D and P
Answer:
P= $29 and D = -$30
Step-by-step explanation:
4D + 5P = $25
5P = $25 - 4D
P = ($25 - 4D)/5 equation(i)
Noe substitute the value of P
3D + 4P = $26
3D + 4($25 -4D)/5 = $26
3D*5 + ($100 -16D)/5 =$26*5
15D + $100 - 16D =$130
-D = $130 - $100
D = -$30
Again substitute the vale of D in equation(i)
P = ($25 + 4D)/5
=$25 + 4*$30/5
=$25 + $120/5
=-$145/5
=$29
Answer:
P = 29, D = - 30
Step-by-step explanation:
Given the 2 equations
4D + 5P = 25 → (1)
3D + 4P = 26 → (2)
Multiplying (1) by 3 and (2) by - 4 and adding the result will eliminate D
12D + 15P = 75 → (3)
- 12D - 16P = - 104 → (4)
Add (3) and (4) term by term to eliminate D
0 - P = - 29
- P = - 29 ( multiply both sides by - 1 )
P = 29
Substitute P = 29 into either of the 2 equations and solve for D
Substituting into (1)
4D + 5(29) = 25
4D + 145 = 25 ( subtract 145 from both sides )
4D = - 120 ( divide both sides by 4 )
D = - 30
A pencil case with a cylinder shape with diameter= 10 cm
and height = 12 cm .
What is the length of the longest pencil that can fit in the pencil case?
Answer:
length of the longest pencil that can fit must be less than 13cm
Step-by-step explanation:
To get the longest pencil that fit the case, we will use the pythagoras theorem;
diameter = 10cm
radius = 10/2
radius = 5cm
Height = 12cm
Get the length of the longest side
l² = r²+h²
l² = 5²+12²
l² = 25 + 144
l² = 169
l = √169
l = 13cm
Hence the length of the longest pencil that can fit must be less than 13cm
Carmella works 37.5 h per week for Century Home selling electronics equipment. She earns a base salary of $12/h and receives a commission of 5¢ for every dollar of sales she makes.
The question is incomplete, the complete question is:
Carmella works 37.5 h per week for Century Home selling electronics equipment. She earns a base salary of $12/h and receives a commission of 5¢ for every dollar of sales she makes. What is Carmella’s weekly base salary?
Answer: The base salary of Carmella is $450
Step-by-step explanation:
We are given:
Amount of hours worked by Carmella = 37.5 hours
Amount earned as a base salary = $12/hr
To calculate the base salary, we multiply the total amount of hours worked and the amount earned each hour for it.
[tex]\text{Base salary}=\$ 12/hr\times 37.5hr\\\\\text{Base salary}=\$ 450[/tex]
Hence, the base salary of Carmella is $450
help quickly pls! i will give thanks, rate, and maybe a brainliest!
Answer:
false
Step-by-step explanation:
1+2/5 = 5/5 + 2/5 = 7/5
find the value of unknown angles x,y,z
Answer:
the value of x is 50°mark the brainliest plzz
Answer:
Step-by-step explanation:
Remember :
1.if the two angles ae co interior angles their sum must be 180 degree.
2.If the two angles are corresponding angles they must be equal.
3.If the two angles are alternate interior or also said as alternate angles then they must also be equal.
4.If two angles are vertically opposite angles then they must be equal.
5.If two angles are alternate exterior angles then they must be equal.
Approximately how long will it take $200 to double to $400 when the annual interest rate is 8 1/2?
Answer:
200/17 years
Step-by-step explanation:
Simple interest = (principle * time * rate) / 100i
simpifly this expression, i only need answer b :)
Answer:
1) x³y²
2) 6x²y³
Step-by-step explanation:
hope it helps...
Malik wanted to give away \frac{1}{5} 5 1 of his bag of balloons to his 3 friends. What fraction of balloons will he give away?
Answer:
The answer is 3/5
Step-by-step explanation:
The amount of balloon to be given away= 1/5
The number of friends to
receive the balloon = 3
Therefore the total fraction of balloons that he gave away = 1/5 × 3
=3/5
SOMEONE PLEASE HELP THIS IS DUE TOMROROW EZ WORK
PLEASE ANSWER THEM PROPERY FULL SENTENCES
Answer:
1.) At times, designing a good structure with a specific function may often be difficult. If the structure is not well-designed or strong enough for the function it will not properly work. So in order for the design to be well-built, both the structure and function must cooperate.
2.) Symmetry is a balanced arrangement on the opposite sides of a structure. In order for for a structure to be stable and properly work without complications, it most commonly needs to be symmetrical. This is a very important part of designing a structure.
3.) If the structure cannot withstand the function nor the possible forces that it may encounter. It is likely that it will break or even be completely destroyed.
4.) Shape, line, color, texture, movement, space. The designer may have taken into consideration whom the desk may be used by for the shape and space. Color, texture, and line may have been based on the environment (ex. A carpenter, student, computer desk) it would be in. Although the designer may not have an exact knowledge of where the desk would be, he still could consider what the desk could "possibly" be used for. Once again, the designer could take into consideration the user, for the movement of the desk. If the desk was to be moved around on wheels, or possibly could even fold. The designer must take into consideration EVERY detail.
6.) When people design something, often times you do not know how well that design is going to work without testing it with a prototype. Yes, prototypes are expensive. Yet, if they were to build something without testing their design, something may be wrong with it. So as a result, you will spend more money manufacturing something with a defect than testing it with a prototype.
For question 5, I think it might be best if you answer that one. It is based on YOUR opinion and what YOU use. If you are asked about it, they will know it's from you and your opinion. Lol! But I hope I helped you out with the other questions! ;)
List the intercepts and test
for symmetry
y = x² - 2x-8
Answer:
heloooooooooooooooooooooio
Step-by-step explanation:
oooooooooo oooooooooo oooooooooo
Which of the following numbers is closest to 11?
O A. V120
O B. V118
OC. V123
OD. V115
Answer:
a
Step-by-step explanation:
my math teacher told me
1. Which of the following sets is a FUNCTION?(X can't repeat)
*
O (3,4) (3,5) (3,9) (3,2)
O (3,4) (2,8) (9,3), (5,6)
O (3,4) (2,8) (3,7) (5,6)
Simplity: (3(2a)^1/3) 2
24a3
216a3
72a3
342a
I need someone to check my answer for this graph
(I chose negative )
Answer:
The answer is D) Undefined because the equation is x=-11.
Which expressions represent rational numbers? Check all that apply.
Answer:
they're all rational numbers
Step-by-step explanation:
rational numbers are positive, negative, or zero integers. they can be decimals as well.
first expression = 2.449.... + 3 = 5.449 (yes, it is rational)
second expression = 8 + 0.54545454... = 8.545454... (yes, it is rational)
third expression = 6 + 4.582575... = 10.4582575... (yes, it is rational)
fourth expression = 4 + 13 = 17 (yes, it is rational)
fifth expression = 17.43... + 7 = 24.43.... (yes, it is rational)
sixth expression = 6.6332... + 5 = 11.6332 (yes, it is rational)
Explain how to solve 4x 2- 5x = 16 by completing the square. What are the solutions?
Answer:
[tex]x = \frac{16}{3} [/tex]
Step-by-step explanation:
Solve the equations:
[tex]4x \: 2 - 5x = 16[/tex]
Multiply the monomals:
[tex]8x - 5x = 16[/tex]
Combine like terms:
[tex]3x = 16[/tex]
Divide both sides of the equation by the coefficient of variable:
[tex]x = 16 \div 3[/tex]
Calculate:
[tex]x = \frac{16}{3} [/tex]
lamar had 2/5 of land. he planted 2/3 of this land with corn. how many acres did he plant with corn? answer in the simplest form
Which polynomial below could produce this graph?
Answer:
f(x) = (x + 20)(x - 24)(x + 10)(x + 12)
Step-by-step explanation:
This is an equation of degree 4 and as the beginning of the graph descends from negative x the polynomial will have a positive leading coefficient. The graph is roughly W shaped.
It also has zeroes at x = -20,-12 ,-10 and x = 24.
So it is the first option.
Y’all know the answer?
9514 1404 393
Answer:
(b) 36 in²
Step-by-step explanation:
The right triangle at lower right has a vertical leg of 3 and a hypotenuse of 5. Then the horizontal leg is ...
√(5² -3²) = √16 = 4
Then the horizontal diagonal is 4+4 = 8. The vertical diagonal is 6+3 = 9. The area is half the product of the diagonals, so is ...
A = 1/2(d1)(d2) = 1/2(8 in)(9 in) = 36 in²
__
You could figure the areas of the triangles separately, but you would come to the same result. This formula is good for a rhombus or a kite (or a square, which is also a rhombus), because the diagonals are perpendicular to each other.
how many lbs is 3.25 tons?
Answer:
6500 lba
Step-by-step explanation:
hope this helps. Goodluck <3
Answer:
2.939279
Step-by-step explanation:
metrict ton
What is the inequality shown?
Answer:
The inequality shown is 5.
Step-by-step explanation:
It's just asking for the inequality so you can basically just add the distance like 4 + 5 = 9.
30/20+30/40 simplify the equation
Step-by-step explanation:
LCM of 20 and 40 is 40
So,
60/40+30/40
90/40.... Answer
hope it helps
whoch expression is equivalent to -20 - (-4)
Answer:
D
Step-by-step explanation:
-(-4)=+4
so it is -20+4
Answer:
D) -20 + 4 is the answer.
Step-by-step explanation:
1) Record the terms .
[tex]4 - 20[/tex]
2) Use this rule: a - b = -(b - a)
[tex] - (20 - 4)[/tex]
3) Use algorithm method.
(see the attached picture)
4) After simplifying, we have:
[tex] -(20 - 4) = - 16[/tex]
5) therefor, -20 + 4 = -16
[tex] - 16[/tex]