Answer:
105 cm²
Step-by-step explanation:
Properties of a quadrilateral circumscribed about a circle
Each side of the quadrilateral is a tangent to the circle.The sums of the measures of the opposite sides of the quadrilateral are equal. The area of the quadrilateral is half the product of its perimeter and the radius of the circle.Given:
Radius = 5 cmSum of the lengths of its two opposite sides = 21 cmTherefore, the sum of the other pair of opposites is also 21 cm.
So the perimeter = 21 + 21 = 42 cm
[tex]\implies \sf Area=\dfrac12\cdot42\cdot5=105\:cm^2[/tex]
Looking like trapezoid
area:-
1/2(sum of parallel sides)(Height)1/2(21+21)(5)1/2(42)(5)21(5)105cm²Last week, Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1 4 -mile path. Which expression represents the total number of miles he biked? A. 5 × ( 3 + 2 + 2 1 4 ) B. 5 + ( 3 × 2 × 2 1 4 ) C. 5 × ( 3 × 2 × 2 1 4 ) D. 5 + ( 3 + 2 + 2 1 4 )
Answer:
A
Step-by-step explanation:
Add the lengths together then multiply by 5 times
what is the 23rd term in the sequence 10,8,6,4,
Answer:
-34.
Step-by-step explanation:
This is an arithmetic sequence with first term a1 and common difference -2.
nth term = a1 + d(n - 1)
23rd term = 10 - 2(23-1)
= 10 - 44
= -34.
Answer:
-34
Step-by-step explanation:
The sequence starts with 10. Each subsequent term is 2 less than the previous term.
The common difference is -2.
The second term is 10 + (-2) × 1
The third term is 10 + (-2) × 2
The fourth term is 10 + (-2) × 3
Each term you subtract a multiple of -2 from 10. The multiple is 1 less than the number of the term multiplied by -2.
For term n, you get 10 + (-2) × (n - 1).
The 23rd term is:
10 + (-2) × (23 - 1) = 10 - 2 × 22 = 10 - 44 = -34
The ages of the 5 officers for a school club are 18, 18, 17, 16, and 15. The proportion of officers who are younger than 18 is 0.6. The table displays all possible samples of size 2 and the corresponding proportion for each sample. A 2-column table with 10 rows. Column 1 is labeled sample n = 2 with entries (18, 18), (18, 17), (18, 17), (18, 16), (18, 16), (18, 15), (18, 15), (17, 16), (17, 15), (16, 15). Column 2 is labeled sample range with entries 0, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1, 1. Using the proportions in the table, is the sample proportion an unbiased estimator? Yes, the sample proportions are calculated using samples from the population. Yes, the mean of the sample proportions is 0.6, which is the same as the population proportion. No, 0.6 is not one of the possible sample proportions. No, 70% of the sample proportions are less than or equal to 0.5
Using the proportions in the table, is the sample proportion an unbiased estimator?
Yes, the mean of the sample proportions is 0.6, which is the same as the population proportion.
How to solveMean of sample proportions = (0 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 1 + 1 + 1)/10 = 0.6
This is equal to the population proportion. Hence,
Option B is correct.
A sample proportion is a portion of the sample that corresponds to a predetermined confidence level or a confidence interval, where the confidence level represents the confidence or probability percentage for a given point, as opposed to a sample mean, which is calculated by taking the arithmetic mean of all the values of a given sample.
Read more about mean here:
https://brainly.com/question/1136789
#SPJ1
Pls help me with this thank u
Answer:
[tex]y=-5x+22[/tex]
Step-by-step explanation:
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope (m) of the line that is perpendicular to [tex]y=\dfrac{1}{5}x-3[/tex] is:
[tex]\begin{aligned}\implies m \cdot \dfrac{1}{5} & =-1\\m & =-5\end{aligned}[/tex]
Using the point-slope form of a linear equation, with the given point (4, 2) and the calculated slope of -5:
[tex]\begin{aligned}y-y_1 & =m(x-x_1)\\\implies y-2 & = -5(x-4)\\y-2 & = -5x+20\\y & = -5x+22\end{aligned}[/tex]
Therefore, the equation of a line that passes through the point (4, 2) and is perpendicular to the line [tex]y=\dfrac{1}{5}x-3[/tex] is:
[tex]\Large \boxed{y=-5x+22}[/tex]
What are the rules for square rooting
Answer:
see carefully see carefully see carefully see carefully see carefully see carefully and see carefully see carefully see carefully see carefully
anyone know how to do #14 and #15?????
Answer:
He Melanie , use SOH CAH TOA to remember the trig functions
Step-by-step explanation:
for 14 they hyp = 22 and we know one angle of 45°, we also know that the triangle has a right angle or 90° and by inspection we can tell that the other angle is also going to be 45° so we know X and Y will be the same length, is why this is a good observation.
Use one of the trig functions with H in it b/c you know Hyp is 22, so,
SOH = Sin(Θ)= Opp / Hyp
Sin(45) = Opp / 22
Sin(45) * 22 = Opp
[tex]\sqrt{2}[/tex] / 2 * 22 = opp
11*[tex]\sqrt{2}[/tex] = opp is the exact answer, if you would like some decimal places, it's 7.7781 units, both X and Y
for 15 we can use SOH again for the bigger triangle. we know the Hyp is 24 and the angle is 30°
Sin(30) = Opp / 24
Sin(30) *24 = Opp
12 = Opp ( Because I know Sin(30) = 1/2 )
Opp is the upright between the two triangles
Use CAH Cos(Θ) = Adj / Hyp
Cos(30) = Adj / 24
Cos(30) * 24 = Adj
[tex]\sqrt{3}[/tex] /2 *24 =Adj
12[tex]\sqrt{3}[/tex] = Adj
Z = 12[tex]\sqrt{3}[/tex] or if you want some decimals 20.7846
Becasue the smaller triangle is also a 45° right triangle we know that the upright and side Y are the same lengths
then
Y = 12
You could use SOH or CAH to find the Hyp but, lets just resort to Pythagoras, and use his formula to find Hyp
Hyp = [tex]\sqrt{12^{2} +12^{2} }[/tex]
Hyp = [tex]\sqrt{288}[/tex]
hyp = 16.97
X = 16.97
:)
sin C = AB/??
BA
AC
BC
AB
Answer:
AC
Step-by-step explanation:
sin C = opp/hyp
For angle C, the opposite leg is AB. The hypotenuse is AC.
sin C = AB/AC
Answer:
ACStep-by-step explanation:
Sin of an angle refers to the ratio between the opposing side and the hypotenuse.
sin C = AB/ACA hot air bollon travels 18 miles in 3 hours. at this rate,how many miles will the hot airl bollon trivel in 3/4 hours
Answer:
4.5 miles in 3/4 hours
Step-by-step explanation:
Find the amount of miles in 1 hour. 18/3=6
Now multiply 1.5x3=4.5
3/4=75
This is how i got 4.5 miles
55% of what number is 33?
Answer:
18.15
Step-by-step explanation:
55% = 55/100
33 = 33/1
33/1 x 55/100
33 x 55 = 1815
1 x 100 = 100
1815/100 = 18.15
Anyone know the answer?
Answer:
They will need √161 feet, or about 12.69 feet of fencing. √161 is irrational because 161 is not a perfect square.
Step-by-step explanation:
[tex] {8}^{2} + {x}^{2} = {15}^{2} [/tex]
[tex]64 + {x}^{2} = 225[/tex]
[tex] {x}^{2} = 161[/tex]
[tex]x = \sqrt{161} = 12.69[/tex]
help........................
since the powers are same, ignore 'em , and let's calculate the bases.
-16.(1/2)
-8.1 (upon cancellation)
ans = -8
hope it helps...!!!
i need help to find the X please
Answer:
see in picture
Step-by-step explanation:
If r = 8 units and x = 7 units, then what is the volume of the cylinder shown above?
A 448 π cubic units
B. 56 cubic units
C. 240 cubic units
D. 1.792 cubic units
RIGHT ANSWER GETS BRAINLIEST
Answer:
Answer A is correct
Step-by-step explanation:
Formula to find the volume of a cylinder is :
Volume = π r² h
Given that,
radius ⇒ 8 units
height ⇒ 7 units
Let us find it now.
Volume = π r² h
Volume = π × 8 × 8 × 7
Volume = π × 64 × 7
Volume = π × 448
Volume = 448 π units³
solve for x : -40 = 5x - 35
Answer: -1
Step-by-step explanation:
Add 35 to both sides
Divide both sides by 5
What is the measure of ZXYZ in the diagram below?
S
38°
X
OA. 114°
OB. 38°
OC. 78°
D. 39°
1
N
116⁰
30
find the length of AB.
D 20 C
Show your work
Write down the next decimal number. 0,79; 0,76; 0,73; 0,7; ___
Answer:
0.69
Step-by-step explanation:
Hope this helps..
What is the rate of change and y intercept
Answer:
In analytic geometry using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Step-by-step explanation:
hope this helps if not please let me know :)
The function g has a domain of {-2,0,4,13} and a range of {5,9,15}. Could g be represent by the following relation: {(-2,5), (0,9), (4,15), (13,5)}?
Step-by-step explanation:
yes.
the domain defines the valid x values, the range defines the valid y values.
the given relation assigns every x value exactly one y value.
so, it is a function and could therefore represent g.
please help me!! i’ll mark brainliest if you’re correct <3
Answer:
9, 12,15
Step-by-step explanation:
a^2+b^2=c^2
9^2+12^2=15^2
81+144=225
There are 6 boys and 6 girls in the finals of a talent contest. A contest is held to pick the top 3 winners in both the boy and girl groups in order of talent. How many different options for winners are there?
Answer:
400 entries (i think that's the answer)
An art gallery sales 1400 paintings catalog states that 70% of the paintings by local painters how many of these paintings are by local painters
Answer:
the answer is 980 hope this helps
Will mark brainlyest!!
Answer:
98
the answer is 98 but I just guessed
158+(2x58)+(4x113)+94=???
Answer:
820
Step-by-step explanation:
(2×58) = 116
(4×113) = 452
158+116+452+94= 820
Answer:
820
Step-by-step explanation:
First, I multiplied the ones in parenthesis and the I added 158 then I added 94.
How to help you know what to do first. PEMDAS!!
P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
That is the order you should do those kind of problems, so just remember PEMDAS!!!!!! I hope this helped!!
find the circumference of a circle if the area is 81pi m^2 use 3..14 for pi and round your answer to the nearest tenth
Answer: C=2πr
Step-by-step explanation:
Answer:
9 cm.
Step-by-step explanation:
We are given that the area of a circle is 81π cm2. 81 π c m 2 . Hence the radius of the given circle is 9 cm.
Which is the product of 7/9 and 6?
A. 1 4/9
B. 3 7/9
C. 4 2/3
D. 7 5/7
Answer:
C. 4 2/3
Step-by-step explanation:
1) Use this rule: a/b * c = ac/b.
7 * 6/9
2) Simplify 7 * 6 to 42.
42/9
3) Simplify.
14/3
4) Convert to mixed fractin form.
4 2/3
Answer:
The product of 7/9 and 6:
[tex]\\7/9 x 6 \\\\7x6=42\\\\42/9\\4 6/9\\\\4 is the whole number\\6/9 is the fraction that if we remove the 3 from both of us, it gives us the result 2/3\\ The answer is the B \\[/tex]
Step-by-step explanation:
the answer is the B
Because You only had to multiply 6 by 7 and the result, which would be 42 over 9, should be converted to a mixed number, which would be dividing 42 by 9, which is 4, and us over 6, which is four, which is the whole number, and 6 is the numerator and you don't change the nine since it is still the denominator.
Because the 4 is the whole number
And 6/9 is the fraction that if were move the 3 from both of us , it gives us the result is 2/3
So we have 4 2/3
the answer is the B
Which polynomial represents the sum below?
Answer:
A
Step-by-step explanation:
Shift the bottom trinomial to where like terms match up where it looks like this.
2x²+5x+4
5x²+8x
To make it easier to understand add a placeholder +0 to the trinomial so everything matches up so it looks
like this.
2x²+5x+4
5x²+8x+0
Finally, add like terms and you should end up with this. 7x²+13x+4
Solve the equation 4k=120.
120/4=30
Step-by-step explanation:
Julie buys 2 kg of apples and 7 kg of pears for £12.70.
The pears cost £1.30 per kilogram.
What is the price per kilogram of the apples?
You must show your working.
Answer:£1.8Step-by-step explanation:2kg apples and 7kg pears = £12.701 kg pear costs £1.307 kg pear costs £(1.30×7)=£9.12 kg apples costs £(12.70-9.1)=£3.61kg apples cost £(3.6÷2)=£1.8
Use the properties of logarithms to write the logarithm in terms of
log3(2) and log3(5).
log3(18/25)
[tex]\begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\\\ \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\log_3\left( \cfrac{18}{25} \right)\implies \log_3(18)~~ - ~~\log_3(25)\implies \log_3(2\cdot 3\cdot 3)~~ - ~~\log_3(5^2) \\\\\\\ [\log_3(2)+\log_3(3)+\log_3(3)]~~ - ~~2\log_3(5) \\\\\\\ [\log_3(2)+1+1]~~ - ~~2\log_3(5)\implies 2+\log_3(2)-2\log_3(5)[/tex]