Answer:
25.2
Step-by-step explanation:
Secant-Tangent Formula:
(whole secant) x (external part) = (tangent)^2
(41+12) * 12 = x^2
( 53) * 12 = x^2
636= x^2
Taking the square root of each side
sqrt(636) = x
25.2=x
Answer:
25.2
Step-by-step explanation:
This is an intersection of a tangent and a secant.
Can someone please help me?
Answer:
m1= 63°m2=117°m3=63°Step-by-step explanation:
a straight line equals 180°. so if one side is 117°, the other side would have to add up to 180.
180-117=63
And you can kind on figure out what is the same as the other angles. Hope his helps
Which of the following ordered pairs are y-intercepts? Check all that apply.
(4, 0)
(–1, 1)
(0, 0)
(0, –7)
(–2, –2)
(0, –0.25)
.
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[tex]\diamond\large\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Which of the following ordered pairs are y-intercepts?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
All y-intercepts have an x-coordinate of 0.
So a y-intercept looks like this:-
[tex]\sf{(0,b)}[/tex]
Where:-
b - y-intercept
So we conclude that the right options are:-
[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0,0)
[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0, -7)
[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0, -0.25)
Good luck.
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Lara took a total of 63 quizzes over the course of 7 weeks. How many weeks of school will Lara have to attend this quarter before she will have taken a total of 90 quizzes? Solve using unit rates.
weeks
Answer:
63 quizzes= 7 weeks
90 quizzes= x weeks
63x = (7)(90)
x= (7)(90)/63
x= 10 weeks
-2x + 4y = 12
5x - 2y = 10
To answer please type altogether with no spaces. For example if your answer is negative three positive four, type (-3,4)
Answer:
(4,5)
Step-by-step explanation:
-2x + 4y = 12
5x - 2y = 10
make them both set to y
4y = 2x + 12 -> y = 1/2x + 3
2y = 5x - 10 -> y = 5/2x - 5
since they're both equal to y, they are equal to each other
1/2x + 3 = 5/2x - 5
2x = 8
x = 4
plug it back in to get y
y = 1/2 (4) + 3
y = 5
A game has a spinner with 15 equal sectors labeled 1 through 15. what is p(multiple of 4 or multiple of 7)? 215 15 25 13
The probability that the spinner is multiple of 4 or multiple of 7 is 1/3
What is probability?Probability is the likelihood or chance that an event will occur, Mathematically;
Probability = expected/total
If a game has a spinner with 15 equal sectors labeled 1 through 15, the total outcome is 15
P(multiple of 4) = 3/15 =1/5
Pr(multiple of 7 )= 2/15
p(multiple of 4 or multiple of 7) = 1/5 + 2/15
p(multiple of 4 or multiple of 7) = 5/15 =1 /3
Hence the probability that the spinner is multiple of 4 or multiple of 7 is 1/3
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What is the constant of proportionality shown in the table?
The constant of proportionality shown in the table that shows the cost and the number of books is 3.
What is the constant of proportionality ?When there is a direct proportional relationship, it means that as the value of one variable increases, the value of the other variable also increases. As the number of books increases, the cost increases.
Direct proportion: y = kx
Where:
y = dependent variable k = constant of proportionality x = independent variablek = y/x
6/2 = 3
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Answer:3
Step-by-step explanation:
Help please i only have 5 mins left on my test please answer this
P(Head, Diamond AND Head, Heart) = ?
Using it's concept, it is found that the desired probability is given by:
P(Head, Diamond AND Head, Heart) = 1/64.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, each outcome is equally as likely, having a 1/8 probability, and they are independent.
Then:
P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.
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Root of 3 time the root of
5
Answer:
root of 15 or in decimal form 3.87 (rounded)
Step-by-step explanation:
You just multiply both together
Y=5+x how do we solve for x?
Which is the equation of a circle with a radius of 3 and a center at (0, 0) A . x ^ 2 + y ^ 2 = 3 B x ^ 2 + y ^ 2 = 6; x ^ 2 + y ^ 2 = 9 D. (x - 3) ^ 2 + (y - 3) ^ 2 = 0; (x + 3) ^ 2 + (y + 3) ^ 2 = 0
Answer:
x² + y² = 9
Explanation:
circle formula: (x -h)² + (y - k)² = r²
where (h, k) is the center, r is radius
Here given for center: (0, 0)
Identify
h = 0k = 0r = 3Equation of circle:
(x - 0)² + (y - 0)² = 3²x² + y² = 94 kg of bananas and 3 kg of apples cost £7.50. 3kg of bananas and 5 kg of apples cost £8.10. work out how much 2kg of bananas and 2kg of apples cost
Answer:
£4.20
Step-by-step explanation:
Let :
cost of 1 kg banana = xcost of 1 kg apple = yEquations formed :
4x + 3y = 7.50 [Equation 1]3x + 5y = 8.10 [Equation 2]Multiply Equation 1 by 5 and Equation 2 by 3 :
20x + 15y = 37.509x + 15y = 24.30Subtract the newly formed equations :
11x = 13.20x = 1.20Finding y :
4(1.20) + 3y = 7.504.80 + 3y = 7.503y = 2.70y = 0.90Then :
Cost of 1 kg banana = £1.20Cost of 1 kg apple = £0.90Cost of 2 kg bananas and 2 kg of apples :
2(1.20) + 2(0.90)2(2.10)£4.20Which graph below shows the solutions for the linear inequality y2-x+1?
Answer:
The answer will be 1 + y2 - xGrady's father is building a 15-meter fence with the start of the fence at coordinates (8,5) and the midpoint of the fence at coordinates
(3.5,-1). What are the coordinates of the other end of the fence
Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The midpoint of a segment is the mean of the coordinates of the endpoints, hence:
[tex]3.5 = \frac{x + 8}{2}[/tex]
x + 8 = 7
x = -1.
[tex]-1 = \frac{y + 5}{2}[/tex]
y + 5 = -2.
y = -7.
The coordinates of the other end of the fence are (-1,-7).
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can someone help me with this problem? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Since, the Area of smaller rectangle is 35,
width = 5 ftLet's calculate it's length ~
[tex]\qquad \sf \dashrightarrow \:a = l \cdot w[/tex]
[tex]\qquad \sf \dashrightarrow \:35 = l \cdot5[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 35 \div 5[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 7 \: ft[/tex]
And the two rectangles are similar ~ so the ratio of their sides are equal as well ~
Assume length of greater rectangle be x
[tex]\qquad \sf \dashrightarrow \: \dfrac{25}{5} = \dfrac{x}{7} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 5 \times 7[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 35[/tex]
Now, since the length and width of the greater rectangle is known, let's find it's Area ~
[tex]\qquad \sf \dashrightarrow \:a = l \cdot w[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 35 \sdot25[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 875 \: \: ft {}^{2} [/tex]
So, Area of the greater rectangle is 875 ft²
simplify √(x^2-10x+25) if -5≤x<5
[tex]\\ \rm\Rrightarrow \sqrt{x²-10x+25}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{x²-5x-5x+25}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{x(x-5)-5(x-5)}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{(x-5)(x-5)}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{(x-5)^2}[/tex]
[tex]\\ \rm\Rrightarrow\pm (x-5)[/tex]
Solution set(for x-5)
{-10,-9,-8,-7,-4,-3,-2,-1,0}for 5-x
{0,-1,-2,-3,-4,-5,-6,-7,-8,-9,-10}Answer:
First, simplify the expression under the square root sign by factoring:
[tex]\implies x^2-10x+25[/tex]
[tex]\implies x^2-5x-5x+25[/tex]
[tex]\implies x(x-5)-5(x-5)[/tex]
[tex]\implies (x-5)(x-5)[/tex]
[tex]\implies (x-5)^2[/tex]
Therefore:
[tex]\implies \sqrt{x^2-10x+25}=\sqrt{(x-5)^2}[/tex]
[tex]\implies \sqrt{x^2-10x+25}=\pm(x-5)[/tex]
[tex]\implies \sqrt{x^2-10x+25}=|x-5|[/tex]
As the domain is -5 ≤ x < 5, then:
[tex]\implies y=-x+5[/tex]
and the range is 0 < y ≤ 10
write in point slope form an equation of the line that passes through the given point and has the given slope: (0,1); m= 2
A. y - 0 = 2 (x - 1)
B. y - 1 = 2 (x - 0)
C. y + 1 = 2 (x + 0)
D. y + 0 = 2 (x + 1)
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
Point-slope form:-
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
Substitute 1 for y₁, 2 for m, and 0 for x₁:-
[tex]\sf{y-1=2(x-0)}[/tex]
So we conclude that Option B is correct.
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2. Triangle EFG is a sketch of a triangular community garden that has an area of 47.1 square feet.
Trigonometric area formula: Area = 1/2 a b sin(C)
To the nearest foot, what amount of fencing is needed to surround the
perimeter of the flower bed?
G E F E= 45 degrees EF=12ft F=62 degrees
Answer:
32ft
Step-by-step explanation:
Let me know if you have any questions ! (or my sketch is different)
everything was rounded to the nearest foot and due to this the new area is 49.5...
2 x (6÷2 +8) -4 Help me
Answer:
22x-4
Step-by-step explanation:
2x(3+8)−4
Simplify 3+8 to 11.
2x×11−4
Simplify 2x times 11 to 22x.
22x−4
URGENT!! VERY HARD QUESTION. WHAT IS 2+2?? NEED ANSWER RIGHT NOW!!
Answer:
4
Step-by-step explanation:
2+2=4
How can you prove that csc^2 θtan^2 θ-1=tan^2 θ?
[tex]\stackrel{\textit{Pythagorean Identities}}{1+tan^2(\theta)=sec^2(\theta)}\implies tan^2(\theta ) = sec^2(\theta )-1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ csc^2(\theta )tan^2(\theta )-1~~ = ~~tan^2(\theta ) \\\\[-0.35em] ~\dotfill[/tex]
[tex]csc^2(\theta )tan^2(\theta )-1\implies \cfrac{1}{sin^2(\theta )}\cdot \cfrac{sin^2(\theta )}{cos^2(\theta )}-1\implies \cfrac{1}{cos^2(\theta )}-1 \\\\\\ \cfrac{1^2}{cos^2(\theta )}-1\implies \left[ \cfrac{1}{cos(\theta )}\right]^2-1\implies sec^2(\theta )-1\implies tan^2(\theta )[/tex]
Jeremiah paid $5.76 for some pencils at the school store. if each pencil cost $0.18, how many pencils did jeremiah buy?
Answer:
They bought 32 pencils
Step-by-step explanation:
5.76 divided by 0.18 = 32
would someone help me 2/3 2/1 8/9 7/9 breast to least
Answer:
First of all, it's the Greatest to least! Second of all, 2/1, 8/9, 7/9, and 2/3.
Step-by-step explanation:
2/1 is 2, 8/9 is 1 more ninth than 7/9, and 2/3 is less third than 1.
Answer:
It is 2/1 then 2/3 then 7/8 then 8/9 i hope this helps you friend
Step-by-step explanation:
is 3/8 Equivalent to 4/3?
is 4/8 Equivalent to 4/3?
is 6/8 Equivalent to 4/3?
is 7/8 Equivalent to 4/3?
Answer:
all are NO
Step-by-step explanation:
No integer ratio with 8 in the denominator can be equal to any integer ratio with 3 in the denominator.
__
The denominators 8 and 3 are relatively prime, so equivalent fractions using them cannot be formed with integers.
The equivalent to 4/3 has a mixed-number numerator that is greater than 8.
[tex]\dfrac{4}{3}=\dfrac{10\frac{2}{3}}{8}[/tex]
This matches none of the offered choices.
Solve the following equation for b.
13b = 6b + 14
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[tex]\diamond\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
Solve the following equation for b.
13b=6b+14
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
❖ First of all, we need to make sure that all the variables are on one side (the left-hand side, LHS) and numbers are on the right-hand side, RHS.
Here we have variables on the right-hand side, so we can move that term to the left-hand side, making sure to use the opposite operation:-
13b=6b+14 Subtract 6b on both sides, which results in:-
7b=14 Divide by 7 on both sides, which results in:-
b=2 We've found the value of b. Now, we need to check our solution by replacing b with the value of b, 2, and seeing whether or not we end up with a true statement:-
13(2)=6(2)+14 Multiply.
26=12+14 Now add.
26=26 Since the left-hand side does equal the right-hand side, we conclude that our solution, b=2, is correct.
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6a+6b Factorise these expressions.
In a certain family, the probability of having twins in 0.08 and the probability of having a single baby is 0.92. What is the probability of a family having two sets of twins?
Answer:
0.0064
Step-by-step explanation:
Probability (2 sets of twins) :
When a probability of an event is asked multiple, apply the number of times as an exponent to the probability of the eventP = (0.08)²P = (8 x 10⁻²)²P = 64 x 10⁻⁴P = 0.0064What is the 12th term of the sequence -2,-4,-6,...........-100?
Answer:
-24
Step-by-step explanation:
The common difference (D) is -2. And A1 is -2. so if you just add -2 to the geometric sequence until A12, you would get -24.
se a model to solve: (3 points)
two sevenths plus three sevenths plus one seventh equals
Answer:
6/7
Step-by-step explanation:
all fractions have a common denominator which allows us to add all numerators and maintain the same denominator. 2+3+1=6, and put it back over 7. so 6/7.
Help me please help me
Answer:
3/10
Step-by-step explanation:
Decimals and fractions are similar 4/5 is 0.8 and 1/2 is 0.5 The F has to be 0.3 to make a 4/5. 0.3 in fraction is 3/10
What will be the new function g(c) if f(x) = 2^x is translated 2 units down and
3 units left?
Answer:
The new function is
[tex]g(x) = {2}^{x + 3} - 2[/tex]