Answers
Answer:
B
Step-by-step explanation:
Since UV is a tangent then ∠ WUV = 90°
WZ = WU = x - 1 ( both radii of the circle ) , then
WV = x - 1 + 2 = x + 1
Using Pythagoras' identity in the right triangle
WU² + UV² = WV² , that is
(x - 1)² + (2x - 4)² = (x + 1)² ← expand factors using FOIL
x² - 2x + 1 + 4x² - 16x + 16 = x² + 2x + 1
5x² - 18x + 17 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides
4x² - 20x + 16 = 0 ← divide through by 4
x² - 5x + 4 = 0
(x - 1)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 4 = 0 ⇒ x = 4
But x ≠ 1 as radius x - 1 = 0
Thus x = 4 → B
Related Questions
In a certain colony of bacteria each divides into two every hour. How many will be produced from a single bacillus if the rate of division continues for 4 hours
Answers
Answer:
16
Step-by-step explanation:
The number of bacteria in 4 hours = number of bacteria that divides in one hour ^ total number of hours
2^4 = 16
please help
ill mark as the brainliest
Answers
A bus travels one and one half miles to a bus stop 4 times. How many miles in all has the bus traveled?
Answers
Answer:
6 miles
Step-by-step explanation:
1.5miles multipled by 4stops is 6
If y varies inversely with x and y=−5 when x=6, then what is y when x=3?
Answers
Answer:
-10
Step-by-step explanation:
inversely: when x*y on tables all multiple to one number
x: -5 - 3 -1 1 3 5
y: 6 10 30 -30 -10 -6
All individual multiply to -30
Please help me everytime I post this no one helps :( and I need this done soon
Answers
Answer:
Its should be 1 because the graph shows you thats its 1
Jill buys two circular pizzas. The small pizza has an 8-inch diameter. The medium pizza has a 12-inch diameter. How much greater, in square inches, is the area of the medium pizza than the small pizza? Round your answer to the nearest tenth.
Answers
Answer:
Medium pizza is 62.83 square inches greater than smaller pizza.
Step-by-step explanation:
Which rule describes why these triangles are congruent?
Answers
Answer:
Angle-Side-Angle Postulate
Step-by-step explanation:
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent
solve for
cosxcos(x+pi divided by 4)=0
0
Answers
Answer:
Step-by-step explanation:
hello : solutions in R
cosxcos((x+π)/4) =0
means : cosx = 0 or cos((x+π)/4) =0
1) cosx = 0 means : x = π/2+kπ k in Z
2) cos((x+π)/4) =0 means : (x+π)/4 = π/2+kπ .......continu calculate : x
Four friends aré baking bread they equally share 3 sticks if butter which expression can he usted yo find then fracción of a stick of butter that each friends uses
Answers
Answer:
Each friend uses 3/4 of a stick of butter
Can someone pls solve for y
Answers
Answer:
y =7.642881742
Step-by-step explanation:
tan A = opp side/adjacent side
tan 63 = 15/y
y tan 63 = 15
y = 15/ tan 63
y =7.642881742
Danny has at least $15 more than his big brother. Danny's brother has 72. How much money does Danny have?
Answers
Answer:
at least 87
[tex] \geqslant 87[/tex]
Step-by-step explanation:
danny has at least $15 more than his brother and his brother has $72 that means Danny has at least 15 + 72(his brothers money) it can be 87 or more than 87
Danny's money is
[tex] \geqslant 87[/tex]
classifying triangles (by angles)
Answers
How do you classify a triangle by its angle?
An acute triangle has three angles that each measure less than 90 degrees. An equilateral triangle is a triangle in which all three sides are the same length. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.
Step-by-step explanation:
1
Note: Figure is not drawn to scale.
If h = 9 units and r = 6 units, then what is the volume of the cone shown above?
OA. 162 cubic units
ОВ.
1087 cubic units
C. 81 cubic units
OD. 324 cubic units
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Submit
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Answers
Answer:
108π
Step-by-step explanation:
1/3 × 9 × π × (6²)
1/3 × 9π6²
(1 × 9π6²) / 3
(6² × 9π) / 3
6² × 3π
36 × 3π
108π
Find the equation of the line shown
Answers
Answer:
x+1
Step-by-step explanation:
Please help out , i’ll mark the brainliest answer
Answers
Answer:
Step-by-step explanation:
7) The tangent angles are 90° each.
The angles of a quadrilateral add up to 360°, so ? = 360°-90°-90°-73° = 107°.
8) Solve this the same way as question 7). ? = 360°-90°-90°-57° = 123°.
Questions 9) and 10) are cut off, so I assume you don't need to know those.
the tangents r 90° btw and there’s a total of 360° in a quadrilateral so u do 360-90-90-(the angle eg 73)
Which number line shows the solution to the inequality -2(3x - 1) <8?
I need this please!!!!
Answers
Answer:
C
Step-by-step explanation:
I haven't done this math in years but from what I remember this should be the correct answer.
B. is the correct option to choose.
What is inequality ?An inequality is comparing of non-equal terms or expressions.
According to the given question we have to solve the given inequality and represent it in form of a number line with appropriate symbols.
Given,
-2(3x - 1) < 8.
- 6x + 2 < 8.
- 6x < 8 - 2.
- 6x < 6.
- x < 6/6.
- x < 1.
x > -1. ( Think of moving the terms to the other side to make x positive )
This will be represented in a number line with open circle staring from -1 to positive infinity.
learn more about inequality here :
https://brainly.com/question/20383699
#SPJ2
Find the sum of the first 30 terms of the following series, to the nearest integer.
2, 8, 14, ...
Answers
Answer:
a= 2
d= 6
n=30
sum= n/2[2a+(n-1)x d]
30/2[ 2x2 + (30-1) x 6]
15 [ 4 +29 x6]
15x 178
= 2670
hope it helps you
mark me as brainliest
There were 110 cupcakes at the school bake sale last year. If they sold 70% of the cupcakes, how many cupcakes did they sell?
Answers
Answer:
77%
Step-by-step explanation:
Yesterday movie theaters sold 261 bags of popcorn a large bag of popcorn cost three dollars a small bag of popcorn cost one dollar in all the movie theater made $443 from popcorn sales right and solve a system of equations to find how many bags of each size of popcorn were sold
Answers
Can some one please help me with this
Answers
Answer:
I think the answer is B. I hoped I helped a little
What is the distance between (4, -5) and (4, 4)?
Answers
The difference would be 9 squares
140 with the power of 1/8 in radical form
Answers
Answer:
The answer is 8√140.5
Step-by-step explanation:
question is below
will give brainliest to best answer
Answers
Answer:
i dont see a question, sorry
Do y'all know how to answer this question?
10. c + 28 = 67
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{c + 28 = 67}\\\\\large\text{SUBTRACT by 28 to BOTH SIDES}\\\\\large\text{c + 28 - 28 = 67 - 28}\\\\\large\text{Cancel out: 28 - 28 because that gives you 0}\\\\\large\text{Keep: 67 - 28 because it helps you solve for your c-value}\\\\\large\text{67 - 28 = 39}\\\\\boxed{\boxed{\large\text{Answer: \bf c = 39}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
C=39
All you do is subtract 28 from its self then 67-28=29 then that gives you C=39
There is a line that includes the point (7,10) and has a slope of 5. What is its equation in point-slope form?
Answers
Answer:
[tex]y-10=5(x-7)[/tex]
Step-by-step explanation:
Point slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and the given point is [tex](x_1,y_1)[/tex]
Plug in the slope
[tex]y-y_1=5(x-x_1)[/tex]
Plug in the point (7,10)
[tex]y-10=5(x-7)[/tex]
I hope this helps!
Please help me answer this question ASAP
Answers
Answer:
The first one and the last one
Step-by-step explanation:
I need help with this please help me I’m falling math and I don’t know what to do
Answers
Use the table below to determine the approximate height of the flag pole.
Answers
Answer:
B 17.5 ft
Step-by-step explanation:
tangent = opposite / adjacent
tan 35° = h / 25
multiply both sides by 25
h = 25 (tan 35°)
tan 35° = 0.70 (from your calculator)
h = 25 (0.70)
h = 17.51 ft.
DUE ASAP PLZ HELP (brainliest if you get it right)
Part A
PERSEVERE Mei got scores of 76, 80, and 78 on her last three history exams. Write an inequality to determine the score, x, she needs on the next exam so that her average is at least 82.
Part B
Fill in the blanks to complete the sentence.
Solve the inequality.
Mei needs a score of at least ____ on the next exam.
Answers
here's the right answer!
A) 76 + 80 + 78 + x = 82 times 4
234 + x = 328
x = 94
B) Mei needs a score of at least 94 on the next exam.
hope you have a good day
nships Test
Engli
Identifying Angle Relationships
Quick
Check
t
For the diagram shown, which angles are
corresponding angles
23 and 27
a
1
2.
28 and 26
4
3
24 and 27
23 and 25
5
6
b
8
7
Answers
Answer:
3 and 7
Step-by-step explanation: