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2 years ago

Help me with this please

Mathematics

1 answer:

makvit [3.9K]2 years ago

8 0

T ( -9,-3)
U (-9,-6)
V (-5, -10)
W (-5,-7)
Hope this helped

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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

2 years ago

The table shows a student's work when solving the equation 8x-(4x-3)=5.<br> Which statemen ais true?

wolverine [178]

Answer:

x = 1/2

Step-by-step explanation:

8x-(4x-3)=5

Distribute the minus sign

8x -4x +3 = 5

Combine like terms

4x+3 =5

Subtract 3 from each side

4x+3-3 = 5-3

4x = 2

4x/4 = 2/4

x = 1/2

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2 years ago

Alexa had a negative balance in her checking account before depositing a $47.00 check what is the new balance of Alexis checking

FromTheMoon [43]

Her new balance is 0 trust me i did this wuestion before. Lets say she had a negative balance of 47, she puts 47 and thats what she owes so -47- (-47)=0☺️

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2 years ago

Write the equation of a line that is perpendicular to y=5 and that passes through the point (−7,−5)

nordsb [41]

$x = - 7 \\ \\ hope \: it \: helps$