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ludmilkaskok [199]
3 years ago
6

What is 4r + 3r + 7y + 5r - 2y - 6r ?A. 5r + 5yB. 29r - 27yC. 27ry​

Mathematics
1 answer:
Sonja [21]3 years ago
3 0

Step-by-step explanation:

It's 6r+5y. But it's not in the option

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The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle
Mama L [17]

Answer:

The circumference of the circle is C=45.346 \:units.

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by A_{circle}=\pi r^2

The formula used to calculate the area of a sector of a circle is:

A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2

The circumference of a circle is the distance around the outside of the circle and its given by

C=2\pi r

We know the central angle \theta = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}

The radius can't be negative. Therefore,

r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units

Next, we apply the formula for the circumference of a circle.

C=2\pi (7.217)=45.346 \:units

7 0
3 years ago
Determine whether parallelogram JKLM with vertices J(-1, -1), K(4, 4), L(9, -1) and M(4, -6) is a rhombus, square, rectangle or
ser-zykov [4K]
Its all rhombus , square and rectangle with all the sides √50
3 0
3 years ago
Read 2 more answers
CALCULUS RELATED RATES: A 20 foot ladder is leaning against a wall. The base of the ladder is placed 6 feet from the bottom of t
Daniel [21]

Answer:

2.17ft/s

Step-by-step explanation:

Look at the sketch of ladder at the beginning and after 3 seconds it starts to fall,

Distance of ladder from the wall 3 seconds after ladder starts to fall                                       =  Initial distance+  Velocity× time

= 6 + 2×3

= 12ft

Use trignometry to find out the speed of the top of ladder

cosθ= 12/20

θ= 0.825 rad

tan θ= v/2

v= 2.17ft/s

                                                                     

7 0
3 years ago
A recipe calls for 1/2 cup of sugar for each loaf of bread.
Kay [80]

Answer:

6

Step-by-step explanation:

1/2 cup = 1 loaf of bread

1 cup = 2 loaves of bread

2 cup = 4 loaves of bread

3 cups = 6 loaves of bread

sorry i didn't know how to explain it in words

6 0
3 years ago
Thx u if u get the answer
trapecia [35]
So the man's age is divisible by 3, 5, and 7 but not by 2, 4, 6, or 8.

3 * 5 * 7 = 105
105 is not divisible by 2, 4, 6, or 8.
Not sure if any lower ages are there, but since the man is 105 years old, you would receive $105.
5 0
3 years ago
Read 2 more answers
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