Answers
Answer:
[tex]\text{A) }68\:\mathrm{cm}[/tex]
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a [tex]90^{\circ}[/tex], creating right triangles [tex]\triangle TOP[/tex] and [tex]\triangle SOP[/tex].
The Pythagorean Theorem states that the following is true for any right triangle:
[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or the longest side, of the triangle
Thus, we have:
[tex]10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24[/tex]
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
[tex]TP=SP=24[/tex][tex]TO=SO=10[/tex]Thus, the perimeter of the quadrilateral PTOS is equal to [tex]24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}[/tex]
Answer:
the other one should get a brainliest.
I'm just answering to make it technically possible.
Related Questions
Total cost for cookie and lemonade is 1.80. If lemonade costs 1.00 more than the cookie, how much was the lemonade?
Answers
Answer:
The lemonade costs 1.4.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the cost of a cookie.
y is the cost of a lemonade.
Total cost for cookie and lemonade is 1.80.
This means that [tex]x + y = 1.8[/tex].
As we want y, we have that [tex]x = 1.8 - y[/tex]
Lemonade costs 1.00 more than the cookie?
This means that:
[tex]y = x + 1[/tex]
So
[tex]y = 1.8 - y + 1[/tex]
[tex]2y = 2.8[/tex]
[tex]y = \frac{2.8}{2}[/tex]
[tex]y = 1.4[/tex]
The lemonade costs 1.4.
of 5 Sarah, Fiona and David share £40 in a ratio 3:3:2. How much money does each person get?
Answers
Answer:
15
15
10
Step-by-step explanation:
3/8 x £40 = £15 for Sarah
3/8 x £40 = £15 for Fiona
2/8 x£40 = £10 for david
Answer:
Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15
Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15
David gets [tex]\frac{2}{8}[/tex] × 40 = £10
Step-by-step explanation:
If £40 is shared between three person in the ratio of 3:3:2 then calculate the amount each person gets.
To find the amount each person gets we are goin to change the ratios of each person into fractions.
To turn to fraction add all portions in the ratio:
3 + 3 + 2 = 8 (this will be the denominator for all proportions.)
Therefore Sarah gets [tex]\frac{3}{8}[/tex], Fiona gets [tex]\frac{3}{8}[/tex] and David gets [tex]\frac{2}{8}[/tex].
Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15
Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15
David gets [tex]\frac{2}{8}[/tex] × 40 = £10
ally and bo share 60$ how much money does bo get
Answers
Answer:
If Ally and Bo share evenly, Bo will get 30$, so will Ally. The half of 60 is 30.
Given f(x) = 2x - 7 and g(x) = 3x + 2, find (fog)(x).
Answers
Answer:
(fog)(x)=6x-3
Step-by-step explanation:
In this problem, we are looking to find f of g of x. Simply put, we just have to plug g(x) into f(x). Whereever there is an x in f(x), we will replace with g(x).
[tex](fog)(x)= 2(g(x))-7\\(fog)(x)=2(3x+2)-7\\(fog)(x)=6x+4-7\\(fog)(x)=6x-3[/tex]
I hope this helps! Let me know if you have any questions :)
Find the measures of angles 1, 2, & 3.
Answers
Answer : angle 1 = 68 degrees ( opposite angles are equal )
Angle 3 = 180-68 =112 degrees
Angle 2 = 112 ( Opposite angle)
Answer:
1=68 (Vertically opposite angles are equal)
2= 112 (sum of angles on a straight line gives 180°)
3=112 (vertically opposite angles are equal)
MARKING BRAINLIEST HELP
Answers
Answer:
i think A
Step-by-step explanation:
sorry if im wrong
The Mariana trench, off the coast of Guam in
the Pacific Ocean, is 11 034m deep. Write 11
034 in standard form.
Answers
Answer:
11,000 + 30+4
Step-by-step explanation:
can someone help me with this math problem
Answers
Answer:
150 degrees
Step-by-step explanation:
8x-10=3x+90
solve for x in calculater
x = 20
Substitute:
3(20)+90 = 150
Answer:
Step-by-step explanation:
8x - 10 = 3x + 90
5x - 10 = 90
5x = 100
x = 20
8(20) - 10 = 160 - 10 = 150
Estimate 28 x 31 x 3
Answers
Answer:
2604
Step-by-step explanation:
Answer:
2600 as a estimate but it is 2604
Step-by-step explanation:
The average time it takes to travel from home to school is 22 ½ minutes. Depending upon weather and morning traffic, the actual time on a given day can vary up to 5 ½ minutes.
Answers
Answer:
[tex]17 \le t \le 28[/tex]
Step-by-step explanation:
Given
[tex]t = 22\frac{1}{2}[/tex] --- average time
[tex]\triangle t = 5\frac{1}{2}[/tex] --- the variation
Required
The inequality to represent the scenario
To do this, we simply add and subtract the variation from the average time.
i.e.
[tex]t \± \triangle t[/tex]
So, the inequality is:
[tex]22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}[/tex]
Solve:
[tex]17 \le t \le 28[/tex]
What’s is the answer for
5x + 15=
Answers
What is x equivalent to?
A rectangular room is twice as long as its breadth and its perimeter is 48 m. Find the cost of carpeting its floor at Rs. 75 per sq.m.
Answers
Now we can find the surface area because the length is 2x so we substitute the 8 in and we get the length to be 16, and the breadth to be 8 (because breadth = x and x = 8)
Total area = length x width = 16 x 8 = 128
Please help I’ll give brainliest
Answers
Answer:
B. $1650
Step-by-step explanation:
the middle share = 3/(2+3+5) × $5500
= 3/10 × $5500 = $1650
Alan recorded the points he scored on the basketball court in ms2 school yard. What is the mean absolute deviation of his scores
Answers
Answer:
The mean absolute deviation is: 7.44
Step-by-step explanation:
Given
[tex]Scores: 98, 78, 84, 75, 91[/tex]
Required
The mean absolute deviation
First, calculate the mean
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{98+78+84+75+91}{5}[/tex]
[tex]\bar x = \frac{426}{5}[/tex]
[tex]\bar x = 85.2[/tex]
The mean absolute deviation (M) is:
[tex]M = \frac{1}{n}\sum|x - \bar x|[/tex]
So, we have:
[tex]M = \frac{1}{5}(|98 - 85.2|+|78 - 85.2|+|84 - 85.2|+|75 - 85.2|+|91 - 85.2|)[/tex]
[tex]M = \frac{1}{5}(|12.8|+|-7.2|+|-1.2|+|-10.2|+|5.8|)[/tex]
Remove absolute brackets
[tex]M = \frac{1}{5}(12.8+7.2+1.2+10.2+5.8)[/tex]
[tex]M = \frac{1}{5}*37.2[/tex]
[tex]M = 7.44[/tex]
witch one is greater 428,745 or 428,745
Answers
They are the same amount. neither is greater or lesser than the other.
Coach Peters has 12 gallons of water to fill buckets for field day. If
each bucket needs of a gallon to fill, how many buckets can he fill?
Answers
Answer:
Step-by-step explanation:
D.36
because 12 divided by 1/3 is 36
can the angles with measures 80o , 55o and 65o form angles on a line
Answers
Answer:
Nope, this is because the angles in a triangle add up to 180, whereas these values added are equal to 200 degrees
No, the angles with measures 80°, 55°, and 65° cannot form angles on a line.
In geometry, angles on a line are also known as "linear angles" or "straight angles." A straight angle measures 180°, and it is formed by two rays that point in opposite directions and share a common endpoint, creating a straight line. To determine if the given angles can form a straight angle, we need to add their measures.
Let's calculate the sum of the given angles:
Sum = 80° + 55° + 65°
= 200°
Since the sum of the given angles (200°) is not equal to 180°, it means that the angles cannot form a straight line. Instead, they form a shape that is not a straight angle, such as a triangle or a polygon.
In this case, the given angles form a triangle since they satisfy the triangle inequality theorem. The sum of any two sides of a triangle is always greater than the third side. Mathematically, for a triangle with sides of lengths a, b, and c, the inequality holds: a + b > c, b + c > a, and c + a > b.
Therefore, the angles with measures 80°, 55°, and 65° cannot form angles on a line but rather form a triangle with a sum of 180°, satisfying the triangle inequality.
To know more about Linear Angles here
https://brainly.com/question/13045673
#SPJ2
Convert the following to ordinary numbers
a) 8.39 x 104
b) 3.84x10-3
Answers
Answer:
8.34 ×10^4 as in sceintific notation so in normal
8.39×10^4 = 83900
and 3.84 × 10^-3 = 0.00384
Hope it helps
[tex]2x^2+8x-7=-2[/tex]
Please help me with this. I know the answer for this. But the answer I got differs from the one in the answer sheet. So Please tell me what you think is the answer
Answers
Answer:
x = -2 ±√(13/2)
Step-by-step explanation:
Does anybody know 5.4.7: Teenagers CodeHs. Please help I am stuck in this
Answers
Answer:
The program in Python is as follows:
age = int(input("Age: "))
if age>=13 and age <=19:
print("Teenager")
else:
print("Not a teenager")
Step-by-step explanation:
This gets input for age
age = int(input("Age: "))
This checks if age is between 13 and 19 (inclusive)
if age>=13 and age <=19:
If yes, the age is teenage
print("Teenager")
If otherwise, the age is not teenage
else:
print("Not a teenager")
A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8). What is the corresponding quadratic expression? A. 2x2 − 16x + 24 B. -2x2 + 16x – 24 C. -2x2 - 16x + 24 D. -x2 − 16x + 12 E. -x2 − 16x – 24
Answers
Given:
A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).
To find:
The corresponding quadratic expression.
Solution:
If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.
A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.
The function is defined as:
[tex]P(x)=a(x-2)(x-6)[/tex] ...(i)
Where, a is a constant.
The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.
Substituting x=4 and P(x)=8 in (i).
[tex]8=a(4-2)(4-6)[/tex]
[tex]8=a(2)(-2)[/tex]
[tex]8=-4a[/tex]
Divide both sides by -4.
[tex]\dfrac{8}{-4}=a[/tex]
[tex]-2=a[/tex]
Putting [tex]a=-2[/tex] in (i), we get
[tex]P(x)=-2(x-2)(x-6)[/tex]
[tex]P(x)=-2(x^2-6x-2x+12)[/tex]
[tex]P(x)=-2(x^2-8x+12)[/tex]
[tex]P(x)=-2x^2+16x-24[/tex]
Therefore, the correct option is B.
What is the product of (3x - 4y) and (- 2x + 5y - 6)?
A.) - 6x? + 7xy - 18x – 20y? + 24y
B.) - 6x² + 23xy - 18x - 20y? + 24y
C.) 6x? + 23xy - 18x - 20y2 + 24y
D.) - 6x² + 23xy - 18x + 20y? - 24y
Answers
Answer:
The answer is option c
Step-by-step explanation:
Product means we have to multiply
[tex](3x - 4y) \times ( - 2x + 5y - 6) \\ 3x( - 2x + 5y - 6) - 4y( - 2x + 5y - 6) \\ - 6x {}^{2} + 15xy - 18x + 8xy - 20y { }^{2} + 24[/tex]
You then group like terms
[tex] - 6x {}^{2} + 15xy + 18xy - 20y {}^{2} + 24 \\ 6x {}^{2} + 23xy - 20y {}^{2} + 24[/tex]
And there's your answer
Find c Round to the nearest tenth 27 201 28 c=?
Answers
Answer:
56.3 =c
44.1 =a
Step-by-step explanation:
Using the law of sines
sin 102 sin 28
---------- = ----------
c 27
Using cross products
27 sin 102 = c sin 28
Divide by sin 28
27 sin 102
------------ = c
sin 28
56.25470702= c
Rounding to the nearest tenth
56.3 =c
To find a
We need Angle A
A = 180 - 102 -28
A = 50
sin 50 sin 28
---------- = ----------
a 27
Using cross products
27 sin 50 = a sin 28
27 sin 50
------------ = a
sin 28
44.0563425= a
Rounding to the nearest tenth
44.1 =a
Maggie bought 45 oz of flour for her bakery. She used 17.5 oz to make a loaf of bread, and 0.71 oz for each muffin. How many muffins did Maggie make if she had 14.72 oz of flour left over?
Answers
Answer:
18 muffins
Step-by-step explanation:
Amount of flour Maggie used
Total amount of flour she bought - Amount of flour left over.
= 45oz - 14.72 oz
= 30.28 oz of flour
She used 17.5 oz to make a loaf of bread, and 0.71 oz for each muffin.
Hence,
Let the number of muffins = x
17.5 + 0.71x = 30.28
0.71x = 30.28 - 17.5
0.71x = 12.78
x = 12.78/0.71
x = 18 muffins
Therefore, Maggie made 18 muffins
anyone know the answer to this??
Answers
============================================================
Explanation:
Use the slope formula to find the slope of the given line through those two points (-3, 4) and (5, 1)
m = (y2-y1)/(x2-x1)
m = (1 - 4)/(5 - (-3) )
m = (1-4)/(5+3)
m = -3/8
The line shown has a slope of -3/8
----------
We do two things from here:
flip the fractionflip the signThat will have -3/8 turn into +8/3 or simply 8/3 which is the perpendicular slope. That's why the answer is choice A.
Multiplying the original slope -3/8 with the perpendicular slope 8/3 will lead to -1. This is true of any perpendicular pair of lines, as long as neither line is vertical.
i have no idea please help
Answers
Answer: D
Step-by-step explanation:
I’m like 90% sure it’s D ♀️
Answer:
D
Step-by-step explanation:
Domain is how far the graph goes left to right.
The left arrow goes left into -infinity forever
The right arrow goes down and to the right forever, into infinity
PLS HELP ME SOLVE THIS
2a × 3
Answers
Answer:
The answer will be 2a×3=6a
SOMEONE PLEASE HELP ME WITH THIS QUESTION. A circle has a circumference of 36.
What is the area of the circle? Take the pi to be 3.142. State the answer to the nearest whole
number.
Answers
Answer:
The correct answer is - 103.13
Step-by-step explanation:
Given:
Circumference (C) = 36
Area =?
Formula:
Formula of area
A=πr2
formula of circumference
C=2πr
Solution:
C= 36 given so
36 = 2*3.142*r (r is radius)
r = 36/6.284
= 5.729
Putting the value of r in the formula of Solving for Area
A = 3.142*(5.729)^2
= 3.142*32,821
= 103.1124 or 102.3
Place parenthesis
in the following
equation to make
it true:
7+7–7 ÷7+7•7= 7
Please answer I will give you a lot of points!!
Answers
9514 1404 393
Answer:
7+(7–7) ÷(7+7•7)= 7
Step-by-step explanation:
The difference 7 - 7 provides an opportunity to zero out everything to its right. That's what we've done in this version:
7 +(7 -7) ÷ (7 +7×7) = 7 . . . our version of the equation
7 +0 ÷ (7 +49) = 7 . . . . . multiplication inside parentheses first
7 +0 ÷ 56 = 7 . . . . . . . . parentheses first
7 +0 = 7 . . . . . . . . . . . . division before addition
I need help i'm struggling with this work
Answers
Answer:
[tex]y=0.5x+2[/tex]
Step-by-step explanation:
Finding the inverse of a function is essentially finding the complete opposite of a given function. An easy trick can be used to find the inverse of a function. This trick is essentially thinking of the evaluator (f(x)) as another variable. Solve the function for (x) in terms of (f(x)); use inverse operations to do so. After completing this process, rewrite the function such that it is in the inverse function notation; switch the position of the (f(x)) and the (x), then indicate that it is an inverse function.
[tex]f(x)=2x-4[/tex]
Inverse operations,
[tex]f(x)=2x-4[/tex]
[tex]f(x)+4=2x[/tex]
[tex]\frac{f(x)+4}{2}=x[/tex]
Simplify,
[tex]0.5f(x)+2=x[/tex]
Rewrite in inverse function notation,
[tex]f^-^1(x)=0.5x+2[/tex]
[tex]y=0.5x+2[/tex]
