Answers
===========================================================
Explanation:
If XY is tangent to the circle, then the radius ZX would be perpendicular to the tangent XY. In other words, the angle YXZ would be 90 degrees.
Furthermore, it means triangle WXY would be a right triangle.
Effectively, we need to find out if triangle WXY is a right triangle.
Recall that we can use the converse of the pythagorean theorem to find out if a triangle is a right triangle or not.
We have these side lengths of the triangle:
XY = 9.6WX = WZ+ZW = 6.4+6.4 = 12.8YW = 16Let's say a = 9.6, b = 12.8 and c = 16
The order of 'a' and b doesn't matter. All that matters is that c is the longest side.
Plug those values into the pythagorean theorem and simplify each side.
a^2+b^2 = c^2
(9.6)^2 + (12.8)^2 = (16)^2
92.16 + 163.84 = 256
256 = 256
We end up with a true equation, so the first equation is true for those a,b,c values. Hence, we have shown that the triangle is a right triangle, and this concludes that XY is indeed tangent to the circle.
Related Questions
A race horse runs one lap around a lake in 10 minutes.
How long will it take for the horse to run 6 laps around the lake at the same pace?
gaving brainliest out
Answers
Answer:
60 minutes
Step-by-step explanation:
hi please help I'll mark u brainliest
Answers
Answer:
v = 16, u = 15
Step-by-step explanation:
(a)
Substitute the given values into the formula
v = 10 + 2(3) = 10 + 6 = 16
(b)
Substitute the given values into the formula
50 = u + 5(7)
50 = u + 35 ( subtract 35 from both sides )
15 = u
HELP ME WITH THIS PLEASE!! #∆# ~∆~
Find the RATIO and the EXACT VALUE of the given Cot B.
Answers
Answer:
Step-by-step explanation:
take angle B as reference angle
using cot rule
cot B=adjacent/opposite
cot B=5/12
cot B=0.41
B=cot 67.5
B=67.5 degree
for ratio,
cot B=5/12
Please Help! WIll Give 25 Points And Brainliest!
Please solve the picture below
Answers
Answer: n × n× 6
length time width both = n and hight is 6 so n × n × 6
Step-by-step explanation:
127/4 + 62/3 × 24/6 solve this fraction by BODMAS
Answers
Answer:
The correct solution is "114.39".
Step-by-step explanation:
The given expression is:
⇒ [tex]\frac{127}{4} +\frac{62}{3}\times \frac{24}{6}[/tex]
On solving the above expression with the help of BODMAS rule, we get
Firstly we will have to apply division, we get
= [tex]31.75+20.66\times 4[/tex]
Now we will have to apply multiplication, we get
= [tex]31.75+82.64[/tex]
On adding, we get
= [tex]114.39[/tex]
The radius of a circle is 19.2 in. Find the circumference to the nearest tenth.
Answers
Answer:
1
Step-by-step explanation:
If the m∠1=123° m ∠ 1 = 123 ° and m∠2= (2x+7)° m ∠ 2 = ( 2 x + 7 ) ° , determine the value of x that supports l∥m l ∥ m . Show your work to support your answer.
Answers
Answer:
25
Step-by-step explanation:
Let us assume that m<1 nad m<2 are supplementary. Since the sum of supplementary angles is 180degrees, hence;
<1 + <2= 180
123+2x+7 = 180
130+2x = 180
2x = 180 - 130
2x = 50
x = 50/2
x = 25
Hence the value of x is 25
A blockbuster movie makes about $247,000,000 in the United States during opening weekend. That same weekend another movie opens but only makes about $5,200,000. Question: write each dollar amount in scientific notation PLEASE HELP.
Answers
Answer:
$247,000,000 = 2.47 * 10⁸$5,200,000 = 5.2 * 10⁶Step-by-step explanation:
Scientific notation allows us to write large numbers in smaller quantity by reducing the number to a figure less than 10 but more than one and then multiplying it by a power of 10 to show its actual size. For instance, 65,000,000 will be written as 6.5 * 10⁷ to represent the total number of digits that it has after the decimal.
$247,000,000:
This would be 2.47 * 10⁸
$5,200,000:
This is 5.2 * 10⁶.
what’s the answer for this I need help
Answers
Answer:
18 ft^2
Step-by-step explanation:
4 x 4 = 16
4 x 1 = 4
4 / 2 = 2
16 + 2 = 18 ft.^2
Answer:
18 ft²
Step-by-step explanation:
Area of the triangle: [tex]\frac{1}{2}[/tex] (1 × 4) = 2 ft
Area of the square: 4 × 4 = 16 ft
Add up the areas
You get 18 ft²
como serian las dimensiones de un tanque australiano (redondo) que tiene que almacenar 5300 litros de agua?
Answers
Step-by-step explanation:
a thing or situation that is annoying because it is complicated or involves a lot of effort
factorise
x^3 - 2x^2 -x+2
Answers
Answer:
Solution given:
x^3 - 2x^2 -x+2
take common from two each term
x²(x-2)-1(x-2)
take common again and keep left one on other bracket
(x-2)(x²-1) or (x-1)(x+1)(x-2) is a required answer.
note:using formula a²-b²=(a+b)(a-b) for x²-1.
Answer:
[tex](x - 1)(x + 1)(x - 2)[/tex]
Step-by-step explanation:
[tex]x^3 - 2x^2 - x + 2[/tex]
Take x² common from first two terms.[tex]=> x^2(x - 2) -1(x - 2)[/tex]
Take (x - 2) common from whole expression.[tex]=> (x - 2)(x^2 - 1)[/tex]
Factorise (x² - 1) by using the identity → (a² - b²) = (a + b)(a - b)[tex]=> (x - 2)(x + 1)(x - 1)[/tex]
The identity sin (theta/2) = +- sqrt 1-cos theta/2 is derived from which other identity?
Answers
Answer:
2nd option
Step-by-step explanation:
Using
sin²A = [tex]\frac{1-cos2A}{2}[/tex] ( take the square root of both sides )
sinA = ± [tex]\sqrt{\frac{1-cos2A}{2} }[/tex]
Replace 2A with θ and A with [tex]\frac{0}{2}[/tex] , then
sin ([tex]\frac{0}{2}[/tex] ) = ± [tex]\sqrt{\frac{1-cos20}{2} }[/tex]
Pls help me with #10 I need a answer and a explanation
Answers
Answer:
C y/9 = 3
Step-by-step explanation:
An equation needs an equals sign
PLEASE HELP I NEED THE ANSWER ASAP ILL GUVE BRAINLIST
Answers
Hope this helps. please mark me brainliest if it did
Answer:B $225
Step-by-step explanation:
$2,700.00 divided by 12 = $225
12 = 1 year
what 3 1/2 times 2 3/4
Answers
Answer: 9/4 or 2.25
Step-by-step explanation:?????
Hope this helps :)
Brainliest plzz
No files!!!
Will give brainliest and please don’t guess
Answers
Answer:
i think its 54. i might be incorrect.
Step-by-step explanation:
Answer:
54º
Step-by-step explanation:
This really cannot be determined because the combined angle is not marked as 90º
let's assume it is 90º
(7x + 12) +(2x + 24) = 90
Combine like terms
9x + 36 = 90
Subtract 36 from both sides
9x = 54
Divide both sides by 9
x = 6
-----------------------
7(6) + 12 = 54º
2(6) + 24 = 36º
54º is the larger angle
In the past, the mean running time for a certain type of flashlight has been 9.2 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. They hypotheses are as follows. Explain a type 2 error.
Answers
Answer:
what are the hypotheses?
Step-by-step explanation:
you said the hypotheses are as folows its not there
To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles. What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.
Answers
Answer:
The straight-line distance between the parents' and grandparents' houses = 9.83 miles.
Step-by-step explanation:
Given - To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles.
To find - What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.
Solution -
By the given information, the figure becomes -
From the Graph, we can see that,
The side MP = 2.1
The side MG = 9.6
And By using Pythagoreas Theorem, we get
(PG)² = (MG)² + (MP)²
⇒(PG)² = (9.6)² + (2.1)²
⇒(PG)² = 92.16 + 4.41
⇒(PG)² = 96.57
⇒PG = √96.57
⇒PG = 9.827
∴ we get
The straight-line distance between the parents' and grandparents' houses = 9.83 miles.
what is the area if this triangle? enter your answer as a decimal in the box. round only your final answer to the nearest tenth.
Answers
The answer to your question is 38.6
PLEASE HURRY!!!! Which Graph shows a set of ordered pairs that represent a function?
Answers
If a vertical line is drawn then the line will cut at only one point. In first graph for all x values we have different y values so the ordered pairs represent a function.
Rosc has $500 in her savings account. She carnis simple interest at 5%
Calculate the interest she carnis after two year.
<
A
B. ss0
CLS250
D. $500
O
A
OB
Answers
Answer:
50
Step-by-step explanation:
I assume you are asking how much she EARNS after 2 years.
500x.-5=25 interest per year
25 x 2 years = 50 interest for 2 years.
-14+u=50 I need help
Answers
What is the value of x? Show your work.
Please help
Answers
Answer:
b=5√3
Step-by-step explanation:
Find the last side of the triangle using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =10^{2} \\b^{2} =10^{2}-5^{2}\\\\b=5\sqrt{3}[/tex]
Quantitative reasoning l week 2 discussion What is an example of a situation from your professional or personal life that requires you to compare, understand, and make decisions based on quantitative comparison? Be sure to describe the types of quantitative comparisons you had to make, what decisions you made, and why.
Answers
Answer:b
Step-by-step explanation:
A . What is the slope in the line of the graph ?
Answers
Answer:
0.2x+3
Step-by-step explanation:
hey! i’ll give brainliest please help
Answers
Answer:
conjunction
Step-by-step explanation:
Answer:
Conjunction is correct answer. (I think)
What is the volume of the figure?
Answers
9514 1404 393
Answer:
C. 205.3 units²
Step-by-step explanation:
The volume of the figure is the sum of the volumes of ...
1/2 sphere of radius 2
cylinder of radius 2 and length 12
cone of radius 2 and length 9
The formulas for the volumes of a sphere, cylinder, and cone are ...
V = 4/3πr³ . . . sphere
V = πr²h . . . . cylinder
V = 1/3πr²h . . . cone
Then the sum of the volumes is ...
1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'
where h is the cylinder height and h' is the cone height
= πr²(2/3r + h + 1/3h')
= π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507
The volume of the figure is about 205.3 units³.
You flip a coin three times in a row. What is the probability you will get three tails?
Answers
Answer:
50/50
Step-by-step explanation:
Answer:
1/8 because {(T , T , T), (T , T , H),(T , H , T), (T , H , H),(H , H , H),(H , H , T),(H , T , H),(H , T , T)} which has 8 combinations in total so that means 1/8... 8 is denominator because 8 combinations 1 is for each one.
How much should you invest at 4.8% compounded continuously to have $5000 in 2 years?
Answers
Answer:
The total compound interest is $502.74 i think
Step-by-step explanation:
24/5
[tex] \frac{24 \times 5000 }{5 \times100 } = \frac{240 \times 5000}{100} = 240 \times 50 = 12000 =12000 + 240 = 12240 [/tex]
find the volume of the cone
Answers
Answer:
A≈249.02cm
Step-by-step explanation: