Answer:
Step-by-step explanation:
Because angle NRM is vertical to angle QRP, they are congruent. That means that arc NM is congruent to arc PQ, making arc MQ and arc NP congruent. That means that arc NP is also 162. Since the outside of a circle measures 360 regardless of how big or small the circle is, we can find the measures of arcs MN and PQ by doing some simple math.
Arc MN = Arc PQ = 360 - 162 - 162 = 36 and divide that in half to get
Arc MN = Arc PQ = 18°. As we all know, the measure of a central angle is congruent to the measure of the arc it intercepts, so the measure of angle NRM is 18°. That gives us the angle we need for the formula:
[tex]AL=\frac{\theta}{360}*2\pi r[/tex] where θ is the measure of the central angle, 18°:
[tex]AL=\frac{18}{360}(3.1415)(8)[/tex] which gives us
AL = 1.26 feet (Note: arc length is in distance measures, like feet, inches, meters, etc., while arc measure will always be in degrees!)
Guys i need a little help pls ( 10 points )
Answer:
A grizzly bear's normal heart rate when not hibernating is about 50 beats per minute.
Step-by-step explanation:
10÷50=.20
what is 5 to the 4th power
Answer:
625
Step-by-step explanation:
5 times 5 is 25. 25 times 5 is 125. 125 times 5 is 625. Notice how I multiplied 5 repeatedly 4 times.
Answer:
625
Step-by-step explanation:
5 x 5 (=25) x 5 (=125) x 5 = 625
Hope this helps :)
A banquet room is being carpeted. A floor plan of the room is shown below. Each unit represents 1 yard. The carpet costs $23.50 per square yard. How
much will is cost to carpet the room?
Area of the parallelogram -
square yards
Area of the rectangle =
square yards
Are of the triangle =
square yards
Area of the floor
square yards
Total cost of the carpet = 5
Answer: $775.50
explanation: I just looked it up and another website had the same question but also had the answer
UV has a midpoint at M(6, 3). Point U is at (3, 8). Find the coordinates of point V.
Answer:
V(9, -2)
Step-by-step explanation:
U (3,8); M(6,3); V(?,?)
To go from point U to point M we went down 8-3=5 units, and to the right from 3 to 6 so 6-3=3 units. Here we got half way of the line UV so continue 5 units down and 3units right to get to V(9, -2)
U (3, 8); M(3+3= 6, 8-5= 3); V(6+3 =9, 3-5= -2)
Find the area of the figure.
15.2 ft
11.4 ft
7.6 ft
19 ft
The area is
square feet.
*help fast
Answer:
231.04 ft²
Step-by-step explanation:
Area triangle = 1/2( 11.4 * 15.2)
Area triangle = 1/2( 173.28 )
Area triangle = 86.64 ft²
Area rectangle = 19 x 7.6
Area rectangle = 144.4 ft²
Area total = 86.64 ft² + 144.4 ft² = 231.04 ft²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the answer to this question
Answer:
y = 1/4x
Step-by-step explanation:
answer please help please
Answer:
89*
Step-by-step explanation:
To find the value of m<1, you need to find the angle right next to it (the third interior angle that isn't labeled).
To find that angle (let's call it x), we have to use an equation.
Since a triangle has a sum of 180* for the interior angles in it, then we can use that to solve for x.
x + 53 + 36 = 180
x + 89 = 180
x = 91
Now to find m<1, we need to use the supplementary angles theorem.
Since m<1 and x are supplementary angles, the sum of those angles would be 180. Using this, we can create an equation.
x + m<1 = 180
91 + m<1 = 180
m<1 = 89
Hence, m<1 is 89*!
Hope this helped! <3
Simplify the radical expression.
Answer:
[tex]xy^3 \sqrt[4]{y^3}[/tex]
Step-by-step explanation:
Recall the exponent property [tex]a^b+a^c=a^{(b+c)}[/tex].
We can use this property to break the problem down:
[tex]\sqrt[4]{x^4y^{15}}=\sqrt[4]{x\cdot x\cdot x\cdot x\cdot y^3\cdot y^3\cdot y^3\cdot y^3\cdot y^3}=\boxed{xy^3 \sqrt[4]{y^3}}[/tex]
Answer:
[tex]xy^3\sqrt[4]{y^3}[/tex]
Step-by-step explanation:
[tex]\sqrt[4]{x^4y^{15}} =\sqrt[4]{x^4}*\sqrt[4]{y^{15}}\\\\=x\sqrt[4]{y^{15}}\\\\=x(\sqrt[4]{y^{12}} *\sqrt[4]{y^3})\\\\=xy^3\sqrt[4]{y^3}\\\\\\\sqrt[4]{y^{12}} =y^{12/4}=y^3 \\\\\sqrt[4]{x^4} =x^{4/4}=x[/tex]
What is the center of the circle described by the equation (x - 2)^2 +(y + 7)^2 =169
A (2, 7)
B (-2, -7)
C (2, -7)
D (-2, 7)
Answer:
The center is (2, -7)
Step-by-step explanation:
A circle is given by
(x-h)^2 + (y-k)^2 = r^2
where(h,k) is the center and r is the radius
(x - 2)^2 +(y + 7)^2 =169
(x - 2)^2 +(y - -7)^2 =13^2
The center is (2, -7) and the radius is 13
What is the equation of a circle with a center (7, -3) and radius 4?
Answer:
see screenshot
general formula is
r² = (x - x-center)² + (y - y-center)²
Please I need help ASAP
Answer:
78.54
Step-by-step explanation:
[tex]A = \pi r^{2} \\A = \pi 5^{2} \\A = 78.54[/tex]
1. Write down the 3D shape each net make.
D to g.
Answer:
Step-by-step explanation:
D) Has a five sided shape as a base so its a pentagon-based pyramid
E)Two pentagons and retangular sides Pentagonal Prism
F)All sides and bases are rectangular so Rectangular Prism
G) Eight sided base and triangle shaped sides, Octogon-based Cone
pls help in the middle of my final lol
Answer:
b) 2
Step-by-step explanation:
both angles have the same values, they are technically opposites.
Set your formula up as
130 = 66x - 2
130 + 2 = 66x
132/66 = x
2 = x
PLEASE HELP ME ASAP THANK YOU
EXPLANATION = BRAINLIEST
A pyramid has a base that is a right triangle with legs measuring 10 cm and 14 cm. The height of the pyramid is 9 cm.
The volume of the pyramid is ___ cubic cm.
Answer:
[tex]V=210\ cm^3[/tex]
Step-by-step explanation:
The legs measuring 10 cm and 14 cm.
The height of the pyramid is 9 cm.
We need to find the volume of the pyramid. The formula for the volume of a right pyramid is given by :
[tex]V=\dfrac{1}{3}Bh[/tex]
Where
B is area of base,
[tex]B=\dfrac{1}{2}\times 10\times 14=70\ cm^2[/tex]
Put all the values,
[tex]V=\dfrac{1}{3}\times 70\times 9\\\\V=210\ cm^3[/tex]
So, the volume of the right pyramid is equal to [tex]210\ cm^3[/tex].
Seven times a number minus the number is -48. Find the number.
Answer:
-8
Step-by-step explanation:
(7)*(-8) = -56
(-56) - (-8) = -48
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The trapezoid is enlarged by a scale factor of 3, what is the area of the scaled copy?
Answer:
Step-by-step explanation:
After enlargement,
Parallel sides are: 6*3 = 18 cm & 10*3 = 30cm
Altitude = 5 *3 = 15 cm
Area =[ (sum of the length of parallel sides)*height] ÷2
[tex]= \frac{(18+30)*15}{2}\\= \frac{48*15}{2}\\\\= 24 *15\\\\= 360[/tex]
Answer:
360 cm²
Step-by-step explanation:
The area (A) of the trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ are the parallel bases
Here h = 5 , b₁ = 10, b₂ = 6 , then
A = [tex]\frac{1}{2}[/tex] × 5 × (10 + 6) = 2.5 × 16 = 40 cm²
Enlarging by a scale factor of 3 means the area is increased by a factor
3² = 9
area of scaled copy = 9 × 40 cm² = 360 cm²
what is the equation of the line that is perpendicular to the line y = − x / 5 + 4 / 5 and passes through the point ( − 3, 4 )?
pls answer quickly.
line y = − x / 5 + 4 / 5
slope( m1) = -1/5
Slope of required line( m2) = 5
[as it is perpendicular to given eqn of line
m1×m2= -1
m2=1/m1= 5]
y-4= 5(x+3)
y-4=5x+15
y=5x+19
-2/3 × -7/5
please answer... i will follow the person who hives the ryt answer
Answer:
14/15 :]
Step-by-step explanation:
you dont have to follow me buts its appreciated!
What is the quotient of Negative StartFraction 3 over 8 EndFraction and Negative one-third?
Answer:
6
Step-by-step explanation:
Answer:
1/18
Step-by-step explanation:
I took the test :)
Can someone help me figure out what goes in the blank squares
Answer: ik the second one
Step-by-step explanation: every month you have to add 500 dollars .
Amount of money owed
1 = 500
2 = 1000
3 = 1500
etc
Which expression is equivalent to this expression?
11
6
613
610
616
619
Answer:
6^10
Step-by-step explanation:
6^2 * 6^11
-----------------
6^3
First simplify the numerator. We know a^b*a^c = a^(b+c)
6^(2+11)
-----------------
6^3
6^(13)
-----------------
6^3
Then a^b / a^c = a^(b-c)
6^(13-3) = 6^10
Answer:
6^10
Step-by-step explanation:
To solve this you need to remember 2 things.
First off, multipication is addition with exponents.
And secondly, division is subtraction with expoinents.
So on the top we have 6^2*6^11
So this is really 6^11+2
=
6^13
Now we need to divide by 6^3:
6^13/6^3
And this would tecnically be:
6^13-3
=
6^10
So the expression 6^10 is your answer.
Hope this helps!
find x answer fast please
Answer:
x=20
Step-by-step explanation:
Since AB is a line it forms 180,
Set your formula up as
180=60+4x+40
180-60-40=4x
80=4x
80/4=x
20
Divide: (12x - 6) by 3 go
Answer:
Step-by-step explanation:
12x-6/3
=12x/3 - 6/3
=4x-2
or
12x-6/3
take 6 common
6(2x-1)/3
2(2x-1)
4x-2
Answer:
4x -2
Step-by-step explanation:
(12x - 6) / 3
= 6 common
= 6(2x-1)/3
= 2(2x-1)
= 4x-2
Hope this answer helps you :)
Have a great day
Mark brainliest
What is the area of the figure ? Round to the nearest whole number.
A. 72 in.2
B. 55 in.2
C. 60 in.2
D. 42 in 2
Correct answer will get 50 points Please answer ASAP!!
Answer:
55 sq. in.
Step-by-step explanation:
Area of figure
= area of triangle + area of rectangle
height of triangle = 6 in.
base of triangle = 6/(sqrt(3)/3) = 18/sqrt(3)
Area of triangle = 6*18/sqrt(3) /2 = 54/sqrt(3) = 31.18 sq. in.
Area of rectangle = 6 * 4 = 24 sq. in
Area of figure = 31.18+24 = 55.18 sq. in
[tex]55[/tex]
The answer is b
RAMS SALARY IS 20% MORE THAN MOHAN'S. IF MOHAN'S SALARY IS Rs. 200 THEN WHAT IS THE SALARY OF RAM?
a. Rs.180
b. Rs.240
c. Rs.220
d. Rs.320
Step-by-step explanation:
RAMS SALARY=RS.200×20%
=40+200
=RS.240.00
ANSWER IS OPTION B
Eliana travels at an average speed of 50 mph for 60 miles. Without stopping, Eliana then travels 130 miles in 2.5 hours. Find her average speed for the entire journey to 2 dp.
Answer:
102 mph
Step-by-step explanation:
Eliana travels at an average speed of 50 mph for 60 miles.
Without stopping, Eliana then travels 130 miles in 2.5 hours.
We calculate the speed here
Speed = Distance in miles /Time in hours
Speed = 130 miles/2.5 hours
= 52 miles per hour
Hence, her average speed for the entire journey is calculated as:
50 mph + 52 mph
= 102 mph
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 2 and flipping heads? Write your answer as a fraction in simplest form. The probability is .
Answer:
[tex]\frac{1}{18}[/tex]
Step-by-step explanation:
As the six-sided number cube had six sides, there are six events which could occur. There is only one interger less than 2 (1), therefore the probability of rolling a number less than 2 is [tex]\frac{1}{6}[/tex].
There are two events which could occur when flipping a coin. This means the probability of flipping heads is [tex]\frac{1}{2}[/tex].
To find the probability of both of these happening, you must multiply the fractions together by multiplying together both the denominators and numerators, therefore:
[tex]\frac{1}{6}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{18}[/tex]
Answer:
1/12
Step-by-step explanation:
There is only one number less than two, which is 1, so you have 1/6 chance of getting a number less than two
Since a coin has two sides, you have 1/2, or 50% chance of landing on heads
If you multiply both of them, which is 1/6 times 1/2, you will get 1/12, since 1 times 1 is still 1, and 6 times 2 is 12.
the diameter of a circle is 20 meters . What is the area ?
Answer:
40m
Step-by-step explanation:
if 20 it the diameter then the daius is 10 which is multiplied by 4
Answer:
100pi m or approximately 314 m^2
Step-by-step explanation:
We need to find the radius to find the area
r = d/2 = 20/2 = 10
The area of a circle is
A = pi r^2
A = pi (10)^2
A = 100 pi m^2
If we approximate pi by 3.14
A = 100*3.14
A = 314 m^2
Please help! Need answer asap
Answer:
h > 2 or h < 1
Step-by-step explanation:
|2h-3| >1
Solve 2 inequalities
2h-3 > 1 or 2h-3 < -1 (remembering to flip the inequality for the negative solution)
2h-3 > 1 or 2h-3 < -1
Add 3 to each side
2h-3+3 > 1+3 or 2h-3+3 < -1+3
2h>4 or 2h < 2
Divide by 2
2h/2>4/2 or 2h/2 < 2/2
h > 2 or h < 1
In the diagram below, lines h and s are parallel. If the m∠2 = 70°, what is the angle measurement of m∠3?
A. 70
B. 130
C. 7
D. 110
Answer:
A
Step-by-step explanation:
Geometry
The answer is A, due to 3 and 2 being vertical.