There are two pieces we need to find here: the area of the section of the circle, and the area of the triangle.
Area of the section of the circle:
A = pi * r^2
A = pi * 15^2
A = 225pi * 72/360 || We only need this part of the circle, not the whole thing.
A = 45pi
Area of the triangle:
A = 1/2 * a * b * sin(c)
A = 1/2 * 15 * 15 * sin(72)
A = 112.5 * sin(72)
Next, we need to subtract the area of the triangle from the area of the section of the circle.
A = 45pi - (112.5 * sin(72))
A = 112.8165 units^2 -- Feel free to round off wherever you need!
Hope this helps!! :)
Write the number 9.9 x 10-5 in standard form.
Which function represents the area of the rectangle? 6x2 – 8x + 36 6x2 – 27x + 36 6x2 – 35x + 36 6x2 + 35x + 36
Answer:
[tex]Area = 6x^2 - 35x + 36[/tex]
Step-by-step explanation:
Given
[tex]g(x)=3x-4[/tex]
[tex]f(x)=2x-9[/tex]
Required
The area
This is calculated as:
[tex]Area = f(x) * g(x)[/tex]
[tex]Area = (3x -4) * (2x - 9)[/tex]
Open bracket
[tex]Area = 6x^2 - 27x - 8x + 36[/tex]
[tex]Area = 6x^2 - 35x + 36[/tex]
Answer:
6x2 – 35x + 36
Step-by-step explanation:
Which is an equivalent scale factor of Mr. Barrow's height to the height of the power pole?
A. 162:18
B. 6:54
C. 18:162
D. 54:6
9514 1404 393
Answer:
C. 18:162
Step-by-step explanation:
Both B and C are the same scale factor, and both correctly express the ratio of the shorter height to the longer one.
The ratio of choice C is directly obtained from the figure, so is probably the best choice.
Hi plz help, if you can ill mark you 5 starz! :)
Answer:
b and 288
Step-by-step explanation:
ywwwwwwwwwwww
What are the algebraic properties of the logarithm function?
Answer:
344343234
Step-by-step explanation:
z=−12i+11
What are the real and imaginary parts of z ?
Answer:
it is easy simply you can answer-12 imaginary 11 is real
CAN SOMEONE PLSSS HELP ME! IT’S DUE TODAY. I NEED THE SURFACE AREA AND VOLUME...
Answer:
one of the triangles is 7.5, if you need both areas then it is 15cm2
Step-by-step explanation:
multiple 3x5=15, this will make it for a square. To create the triangle, you just divide it by two, because two triangel make a square.
please help will give brainliest
Answer:
B
Step-by-step explanation:
What is the value of log6 49?
Round your answer to two places.
Answer: 2.17
Step-by-step explanation: To get the answer you count the first two numbers on the Decimal Form, starting behind the period.
(2.17206626)
What is the degree of the polynomial 3x-6
Answer:
1
Step-by-step explanation:
the degree of 3x-6 is 1
pls help!! person with correct answer will be marked brainliest
The height of the triangle is 4 inches less than four times its
base. The area of the triangle is 112 in2. What is the height of
the triangle?
Answer:
h = 28 inches
Step-by-step explanation:
Let the base of the triangle is b.
the height of the triangle is 4 inches less than four times its base.
h = 4b-4
The area of the triangle is 112 inch².
The formula for the area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\112=\dfrac{1}{2}\times b\times (4b-4)[/tex]
It is a quadratic equation, whose solution is as follows :
b = -7 and b = 8 inches
Height, h = 4(8)-4
= 32-4
= 28 inches
Hence, the height of the triangle is 28inches.
C is a circle with radius r. Which of the following is true? Select all that apply
A. The diameter of C is 2r
B.the circumference of C is pi*r
C: the circumference of C is 2pi*r
D. One quarter of the circle has length (pi*r)/4
E. One quarter of the circle has length(pi*r)/2
Answer:
A and C and E are correct
Step-by-step explanation:
Circumference = 2*pi*r
C is a circle with a radius r. The correct statements are; A. The diameter of C is 2r , C: The circumference of C is 2pi*r, E. One-quarter of the circle has a length(pi*r)/2.
What is the area of the circle?Supposing that a considered circle has its radius of 'r' units.
Then, its area and circumference are given as:
[tex]Area = \pi r^2 \: \rm unit^2\\ \\Circumference = 2\pi r \: \rm units[/tex]
The radius of a circle is half of its diameter.
Therefore, the correct statements are;
A. The diameter of C is 2r
C: The circumference of C is 2pi*r
E. One-quarter of the circle has a length(pi*r)/2
Learn more about the equation of a circle here:
https://brainly.com/question/10165274
#SPJ2
In the accompanying diagram...
Answer:
i think maybe use Pythagorean Theorem :
call Kite is K
all state is S
we have KS²= KX²+ SX²
400=144+ SX²
so SX = 16, so that distance in feet between the stake and X is 16 feet
Answer:
16
Step-by-step explanation:
We can solve for a missing side using the Pythagorean Theorem
a² + b² = c²
where a and b = the legs and h = hypotenuse
Looking at the triangle created, we notice we are given a leg ( which has a measure of 12t ) and the hypotenuse ( which has a measure of 12ft )
That being said, we plug in what we are given into the Pythagorean theorem and solve for the missing side length ( aka b )
12² + b² = 20²
step 1 simplify
12² = 144
20² = 400
we now have 144 + b² = 400
step 2 subtract 144 from each side
144 - 144 cancels out
400 - 144 = 256
we now have 256 = b²
step 3 take the square root of each side
√b² = b
√ 256 = 16
we're left with b = 16
So we can conclude that the length from the ground directly over point x to the stake is 16 feet.
( important note: The Pythagorean theorem can only be used in right triangle. )
Tienes $20 para gastar en la tarifa del taxi. El viaje cuesta
$5 más $2.50 por kilómetro.
Escribe una desigualdad para determinar la distancia
en kilómetros, d, que podrías recorrer por $20.
¿Cuál es la distancia máxima, en kilómetros, que
puedes recorrer por $20?
kilómetros.
Answer:
6 kilometers serian15 mas 5
the radius of a cylindrical construction pipe is 2 ft. If the pipe is 26 ft long, what is its volume?
Answer:
V=326.725636 or V=104[tex]\pi[/tex]
Step-by-step explanation:
V=[tex]\pi[/tex][tex]r^{2}[/tex]h
V=[tex]\pi[/tex][tex]2^{2}[/tex](26)
V=[tex]\pi[/tex]4(26)
V=326.725636
I REALLY NEED HELP PLS I NEED THIS DONE TODAY!!! JUST LOOK AT THE PICTURE!!!
pls answer pls pls hurry
Answer: This can not be answered unless you choose a bigger photo.
Step-by-step explanation:
Sorry
A gumball machine has various colors of gumballs. There is a 10% chance that the next
gumball from the machine is red and 0.8 chance it is orange.
Is the next gumball more likely to be red or orange? Explain your reasoning.
Answer:
It is red
Step-by-step explanation:
The distance from Kevin's home to his school is 2 kilometers. Adrian lives 750
meters from the same school. How much closer does Adrian live to school than
Kevin?
1>) 250 meters
1>) 550 meters
» 1,250 meters
2,750 meters
Answer:
see my explanation!!
Step-by-step explanation:
2000-750=1250m
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Step-by-step explanation:
f[g(X)]
=f(X+5)
=(x+3)+5
=x+8
Ans: fg(x)=x+8
Step-by-step explanation:
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Help pls ………………………………
Answer:
12
Step-by-step explanation:
PLEASE HELP ME SOLVE FOR X
Answer:
7. x = 10
8. x = 13
9. x = 17
10. x = 5
11. x = 9
12. x = 11
Step-by-step explanation:
Explanation for Number 7.
The exterior angle is always equl to the sum of the two opposite interior angles.
The two opposite interior angles: 62 and (7x + 14)
The exterior angle: (15x - 4)
So you would set it up like _____ = ______ to solve for x
62 + (7x +14) = 15x - 4
62 + 7x + 14 = 15x - 4
Then move the terms
76 + 7x = 15x - 4
Collect the like terms and Calculate
7x - 15x = -4 - 76
Divide both Sides
-8x = -80
/8 /8
-x = -10
/-1 /-1
x = 10
Hope this helps ^^
PLS ANSWER RN
Triangle XYZ is rotated 90 counterclockwise about the origin to produce AX'Y'Z'. What are the coordinates of AXYZ?
A. X'(1, 1), Y'(-3, 2), Z"(-2, 5)
B. X"(-1, -1), Y'(3,-2), Z (2, -5)
C. X"(-1, -1), Y'(-2, 3), Z'(-5, 2)
D. X(0.0), Y'(1, 4), Z'(4, 3)
Please show steps on how to solve
log7 -2b-9=-6
Answer: b= - -log10(7)+3/2
Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)
so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)
Simplify -2b= -log10(7)+3
Divide both sides by -2 -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!
: At a Pokemon award ceremony there are three types of medals to be awarded: Leader, Champion, and Ranger. There are 48 awardees present in total, including 19 Leader medal winners, 27 Champion medal winners, and 25 Ranger medal winners. For any two types of medals, the number of people who won these two medals is the same. There are 4 people who won all three medals. How many people won exactly two medals
Answer:
The correct answer is "[tex]a+b+c=15[/tex]".
Step-by-step explanation:
The figure according to the given question is attached below.
Given that,
Number of people,
p = 4
Let the suitable notations are:
a, b, c, x, y, z and p
where,
Only leader M = x
Only champion M = y
Only range M = z
Exactly two medals = a+b+c
All three medals = p
The equations will be:
[tex]x+a+b+p=19[/tex]...(1)
[tex]y+a+c+p=27[/tex]...(2)
[tex]z+b+c+p=25[/tex]...(3)
[tex]x+y+z+a+b+c+p=48[/tex]...(4)
Now,
From equation (1), (2) and (3), we get
[tex]x+y+z+2(a+b+c)+3p=71[/tex]
[tex]x+y+z+2(a+b+c)=71-12[/tex]
[tex]x+y+z+2(a+b+c)=59[/tex]...(5)
By applying subtraction between equation (5) and (4), we get
[tex]a+b+c-p=59-48[/tex]
[tex]a+b+c=4+11[/tex]
[tex]a+b+c=15[/tex]
There are thirteen shirts in your closet,
eight blue and five green. You randomly
select one to wear on Monday and then a
different one on Tuesday. You wear a blue
shirt on Monday and a green shirt on
Tuesday.
11 shirts
Step-by-step explanation:
You start off with 13, wear one monday, 12, then another tuesday 11
13-2=11
Rewrite the following logarithmic expression as an exponential expression
Answer:
it should be the same answer....?
Step-by-step explanation:
Cube roots of 1 are +1 and -1 (true and false)
False cube root of 1 is plus 1 only.
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 387 drivers and find that 298 claim to always buckle up. Construct a 84% confidence interval for the population proportion that claim to always buckle up.
Answer:
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
They randomly survey 387 drivers and find that 298 claim to always buckle up.
This means that [tex]n = 387, \pi = \frac{298}{387} = 0.77[/tex]
84% confidence level
So [tex]\alpha = 0.16[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.16}{2} = 0.92[/tex], so [tex]Z = 1.405[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8[/tex]
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).