Algebra Find the value of each variable using the given chord, secant, and tangent lengths. If the answer is not
a whole number, round to the nearest tenth.
Answers
Answer:
15. [tex] x = 15 [/tex]
17. [tex] c = 13.2 [/tex]
19. [tex] x = 25.8 [/tex]; [tex] y = 12.4 [/tex]
Step-by-step explanation:
15. [tex] 20*6 = 8*x [/tex] (intersecting chord theorem)
Solve for x
[tex] 120 = 8x [/tex]
Divide both sides by 8
[tex] 15 = x [/tex]
[tex] x = 15 [/tex]
17. [tex] (11 + 20)*11 = (13 + c)*13 [/tex] (two secants intersecting theorem)
Solve for c
[tex] 31*11 = 169 + 13c [/tex]
[tex] 341 = 169 + 13c [/tex]
Subtract 169 from each side
[tex] 341 - 169 = 169 + 13c - 169 [/tex]
[tex] 172 = 13c [/tex]
Divide both sides by 13
[tex] \frac{172}{13} = \frac{13c}{13} [/tex]
[tex] 13.2 = c [/tex] (nearest tenth)
19. [tex] (x + 5)*5 = (15 + 7)*7 [/tex] (two secants intersecting theorem)
Solve for x
[tex] 5x + 25 = 22*7 [/tex]
[tex] 5x + 25 = 154 [/tex]
Subtract 25 from each side
[tex] 5x + 25 - 25 = 154 - 25 [/tex]
[tex] 5x = 129 [/tex]
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{129}{5} [/tex]
[tex] x = 25.8 [/tex] (nearest tenth)
[tex] y^2 = 7*(15 + 7) [/tex] (tangent and secant theorem)
Solve for y
[tex] y^2 = 7*22 [/tex]
[tex] y^2 = 154 [/tex]
Take the Square root of both sides
[tex] \sqrt{y^2} = \sqrt{154} [/tex]
[tex] y = \sqrt{154} [/tex]
[tex] y = 12.4 [/tex] (nearest tenth)
Related Questions
YALLLLL PLEASE HELP MEEEEEEEEEEEEEEE I WIIIL MAKR BRANLIEST IF CORRECT!!!!!!!!
Write an equation in slope intercept whose slope is 5 and y intercept is -3
Answers
Answer:
y=5x-3
Step-by-step explanation:
it just is
Answer:
y=5x-3
Step-by-step explanation:
(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Terri buys five and seven eighths ounces of chocolate chips. She uses four and four sixths ounces in a recipe. How many ounces of chocolate chips does she have left?
A) one and ten forty eighths ounces
B) one and three fourteenths ounces
C) two and ten forty eighths ounces
D) two and three fourteenths ounces
(Here is an image if needed) :
Answers
5(7/8) - 4(4/6)
47/8 - 28/6
29/24
1 and 5/24
1 and 10/48
y = 3x - 12x +9
In standard form?
Answers
Answer:
y=-9x+9
Step-by-step explanation:
There are only two like terms in the equation which I have underlined.
y= 3x - 12x +9
To simplify it, you combine the like terms and get your equation in standard form.
9. Which of the following equations has NO solution?
A. a + 2 = a + 2
B. a = -a + 2
C. a + 2 = a - 2
D. a + a = 2
Answers
Answer:
C. a +2 = a - 2
Step-by-step explanation:
a + 2 = a - 2
a + 4 = a
4 = 0
f(x)=-3x2 + 2x - 7 f(-1)=
Answers
Loading....
Answer: I hope I’m not too late, but the answer is A.) 12
Step-by-step explanation:
20. A store offers a discount of 10% to customers
who spend more than $20. If a customer's
total bill was $80, what will he actually pay?
A. $60
B. $70
C. $72
D. $74
Answers
This is 8, or $8.
Since it is a discount, you need to subtract from 80. So do 80-8.
This gives you 72.
Therefore, your answer is C, $72
I hope this helps! Happy Thanksgiving!
PROBABILTY- Could you help me please?
Answers
Answer:
I think the answer is (c) 3
PLEASE HALP IM TIMES
Answers
Answer:
1,3,4
Step-by-step explanation:
PLEASE HELP MEHH!!!!!
Select the coordinates of two points on the line y = −2. (2 points)
A. (2, −2) and (−2, 2)
B. (−2, −2) and (−2, 0)
C. (2, −2) and (0, −2)
D. (−2, 2) and (−2, −2)
Answers
Answer:
C.) (2,-2) and (0,-2)
Step-by-step explanation:
The coordinates would have to have y values of -2, because the line plotted only has y values of -2
Answer:
C.
Step-by-step explanation:
Use the distributive property to remove the parentheses (x+12)8
Answers
Answer:
Using distributive property to remove the parentheses [tex](x+12)8[/tex] we get [tex]8x+96[/tex]
Step-by-step explanation:
We need to use distributive property to remove the parentheses (x+12)8
According to distributive property of multiplication over addition:
[tex]a(b+c)=ab+ac[/tex]
Now, using the above distributive property to solve the given question. Multiply 8 with terms inside the bracket and solving:
[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]
So, using distributive property to remove the parentheses [tex](x+12)8[/tex] we get [tex]8x+96[/tex]
For f(x) =1/x^2-3
find:
(a) f(3) (3 points)
(b) f(2+h) (3 points)
Answers
Answer:
[tex]f(3) = \frac{-26}{9}[/tex]
[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{x^2} - 3[/tex]
Required
Find f(3) and f(2 + h)
Solving f(3)
Substitute 3 for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]
[tex]f(3) = \frac{1}{3^2} - 3[/tex]
[tex]f(3) = \frac{1}{9} - 3[/tex]
Take LCM
[tex]f(3) = \frac{1 - 27}{9}[/tex]
[tex]f(3) = \frac{-26}{9}[/tex]
Solving f(2 + h)
Substitute 2 + h for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{(2 + h)^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{(2 + h)(2 + h)} - 3[/tex]
[tex]f(2 + h) = \frac{1}{4 + 2h + 2h + h^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{4 + 4h + h^2} - 3[/tex]
Take LCM
[tex]f(2 + h) = \frac{1- 3(4 + 4h + h^2)}{4 + 4h + h^2}[/tex]
[tex]f(2 + h) = \frac{1- 12 - 12h - 12^2}{4 + 4h + h^2}[/tex]
[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]
In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=2, what is the area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your answer.
Answers
Answer:
The area of the shaded region is 3.
Step-by-step explanation:
Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:
[tex]A_s=2 * A_t[/tex]
Where At is the area of each triangle.
[tex]\displaystyle A_t=\frac{AB*BC/2}{2}[/tex]
[tex]\displaystyle A_t=\frac{AB*BC}{4}[/tex]
We know AB=3 and BC=2, thus:
[tex]\displaystyle A_t=\frac{3*2}{4}=\frac{6}{4}[/tex]
Simplifying:
[tex]\displaystyle A_t=\frac{3}{2}[/tex]
Finally:
[tex]\displaystyle A_s=2 * \frac{3}{2}[/tex]
[tex]A_s=3[/tex]
The area of the shaded region is 3.
Note the area of the shaded region is half the area of the rectangle.
Solve the following inequality 5x-60>8x
Answers
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[tex]5x - 60 > 8x[/tex]
[tex]8x < 5x - 60[/tex]
Subtract sides 5x
[tex] - 5x + 8x < - 5x + 5x - 60[/tex]
[tex]3x < - 60[/tex]
Subtract sides 3
[tex] \frac{3x}{3} < \frac{ - 60}{3} \\ [/tex]
[tex]x < - 20[/tex]
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Answer: The answer is x<–20.
Step-by-step explanation: Let’s solve the inequality step by step.
• Step 1 Subtract 8x from both sides. Do the rest of the step by step of the following inequality.
please help this question is very difficult ................
Answers
Answer:
[tex]\lim _{x\to \:0}\left(\frac{\sqrt{1+x}+\left(1+x\right)^7-2}{7}\right)\\\\\frac{\sqrt{1+0}+\left(1+0\right)^7-2}{7}\\\\then\ simplify\\=0[/tex]
Step-by-step explanation:
There are 43 children at a school. They want to make teams with 6 children on each team for kickball. Two of the children go home. How many complete teams can they make? Explain.
Answers
Answer:
6 teams
Step-by-step explanation:
They can only make 5 teams with 8 kids on each. 1 child will remain
Please help fast, I’ll mark Brainlist for correct answer!
Answers
Answer:
1. y=2x -12
2. 2x-y=12
3.y=2/3x 11/3
Step-by-step explanation:
GIVING OUT BRAINLIST
ASAP
find the sales price:
$89.95 DVD Player, 5% discount.
(Round your number to the nearest cent (hundredths place)
Answers
= 4.4975
89.95 - 4.4975 = 85.45
The sales price is $85.45.
(Also i love the pfp and username!)
Butch wanted to buy a book about football. The book was $25.00 new. His friend Jake
told him to check the used book store. The book was $15.00 used. What percentage
was the book marked down?
OA
60%
О В.
40%
O C.
33%
OD.
25%
Answers
Answer:
B) 40%
10 is 40% of 25.
Answer:
40%
Step-by-step explanation:
Use the method of lagrange multipliers to find
a. The minimum value of x+y, subject to the constraints xy=196, x>0, y>0
b. The maximum value of xy, subject to the constaint of x+y=196
Answers
Answer:
a) The function is: f(x, y) = x + y.
The constraint is: x*y = 196.
Remember that we must write the constraint as:
g(x, y) = x*y - 196 = 0
Then we have:
L(x, y, λ) = f(x, y) + λ*g(x, y)
L(x, y, λ) = x + y + λ*(x*y - 196)
Now, let's compute the partial derivations, those must be zero.
dL/dx = λ*y + 1
dL/dy = λ*x + 1
dL/dλ = (x*y - 196)
Those must be equal to zero, then we have a system of equations:
λ*y + 1 = 0
λ*x + 1 = 0
(x*y - 196) = 0
Let's solve this, in the first equation we can isolate λ to get:
λ = -1/y
Now we can replace this in the second equation and get;
-x/y + 1 = 0
Now let's isolate x.
x = y
Now we can replace this in the last equation, and we will get:
(x*x - 196) = 0
x^2 = 196
x = √196 = 14
then the minimum will be:
x + y = x + x = 14 + 14 = 28.
b) Now we have:
f(x) = x*y
g(x) = x + y - 196
Let's do the same as before:
L(x, y, λ) = f(x, y) + λ*g(x, y)
L(x, y, λ) = x*y + λ*(x + y - 196)
Now let's do the derivations:
dL/dx = y + λ
dL/dy = x + λ
dL/dλ = x + y - 196
Now we have the system of equations:
y + λ = 0
x + λ = 0
x + y - 196 = 0
To solve it, we can isolate lambda in the first equation to get:
λ = -y
Now we can replace this in the second equation:
x - y = 0
Now we can isolate x:
x = y
now we can replace that in the last equation
y + y - 196 = 0
2*y - 196 = 0
2*y = 196
y = 196/2 = 98
The maximum will be:
x*y = y*y = 98*98 = 9,604
Pls help me don’t make fun
Answers
the length of a triangle is 3 centimeters less than twice its width its area is 35 square centimeters find the dimensions of the rectangle use formula area=length*width the width is ?_ the Length is?_
Answers
[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]
We have:
The length of a triangle is 3 centimeters less than twice its width.Area = 35 cm²We need to find:
Dimensions of the rectangle?Solution:
Let the width be w. Then the length would be:
➝ Length = 2(width) - 3
➝ l = 2w - 3
Area of rectangle: l × b
➝ Length × width = 35 cm²
➝ (2w - 3)w = 35
➝ 2w² - 3w - 35 = 0
Now finding value of x by middle term factorisation,
➝ 2w² - 10w + 7w - 35 = 0
➝ 2w(w - 5) + 7(w - 5) = 0
➝ (2w + 7)(w - 5) = 0
Hence,
w = 5 because width can't be negative.l = 2(5) - 3 = 7Therefore,
Width = 5 cmLength = 7 cm⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]
let x represent the rectangle's width;
thus;
Width = x
Length = 2x - 3
Area = 35 sq. cm.
Area = Length × Width
35 = (2x - 3)(x)
35 = 2x^2 - 3x
2x^2 - 3x - 35 = 0
Factorizing:
x = 5 or -3.5
but width is a scalar quantity and cannot be negative:
Hence:
Width = 5 cm.
Length = 2(5) - 3 = 7 cm.
6x = 41
x = 7 to the nearest whole number.
Width = 7 cm.
Length = 2(7) - 3 = 11 cm.
A radius of 8.5m what is the area
Answers
Answer:
22/7 * 8.5 * 8.5 = answer
Answer:
Step-by-step explanation:
A = π r² ≈ 3.14 × (8.5)² = 226.865 m²
A department store buys 500 shirts at a cost of $4000 and sells them at a selling price of $10 each. Find the percent markup.
Answers
9514 1404 393
Answer:
25%
Step-by-step explanation:
The markup is the difference between the selling price and the cost price.
markup = (500)($10) - $4000 = $1000
Then the percent markup of the cost price is ...
markup/(cost price) = $1000/$4000 × 100% = 25%
The percentage markup was 25%.
What’s the approximate value of a $12,000 car after 1 year?
Answers
Answer:
i think the aswer s 60,000
Step-by-step explanation:
Consider the composite function g(F(x)) = x square root of 6.
If f(x) = 3x2, what is g(x)?
Answers
Answer:
g(x) = √(2x)
Step-by-step explanation:
f(x) = 3x^2
g(f(x)) =√6x
g(3x^2) = x√6
g(x) must be √(2x)
because if we substitute x = 3x^2 in this we get
(√2(3x^2))
= √2√3√(x^2)
= √6 x
1. What is the Potential Energy of a 6 kg object that is 10 m above the
ground?
Answers
m = 6 kg, g = 9.8 m/s^2, h = 10m
6 * 9.8 * 10 = 588 J
Please need help thank
Answers
Looking at the histogram, how many students took the exam?
A: 37
B: 14
C: 5
D: 28
Answers
Answer:
(-2, 33) and (5, - 16)?
A. 7x- y=51
B. 7x+ y= -47
C. 7x+ y= -14 D. 7x+y= 19
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
I hope I helped have a great day.
Darryl said that -32 and (-3)2 have the same value? Do you agree with Darryl? Yes or no? Explain your response.
Answers
Answer:
Step-by-step explanation:
Yes
Answer:
Step-by-step explanation:
No, I don't agree with Daryl. If you multiply -3 by 2, you will get -6. -6 is not equal to -32, which means that they don't have the same value, so Daryl is wrong.
Solve the inequality 2 (x - 2) +8.6 < 14.
Answers
Answer:
x<4.7
Step-by-step explanation:
2(x-2)+8.6<14
2x-4+8.6<14
2x=4.6<14
2x<14-4.6
2x<9.4
_____
x<4.7
mom said its my turn to be brainliest answer ;0
also, help me on my math hw maybe ?
Answer: x < 4.7
Step-by-step explanation: