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3 years ago

A patient is using Humulin insulin U-100. The patient is to use 35 units three

Mathematics

1 answer:

Pani-rosa [81]3 years ago

6 0

A is the correct answer. Please give me brainliest

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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

Please help I need u I have a picture to explain

mariarad [96]

Answer:

a10 = 12/7

Step-by-step explanation:

an = a1 + (n-1) d

a10 = 3/7 + ( 10-1) 1/7

a10 = 3/7 + (9) 1/7

a10 = 3/7 + 9/7

a10 = 12/7

3 0

3 years ago

Help me solve this pleasee

tangare [24]

Because Angle A and B are supplementary they will ad up to 180 degrees.
the measure of angle A is 101 degrees

3 0

3 years ago

Neal opened a savings account 11 years ago with a deposit of $2,335.69. The account has an interest rate of 4.3% compounded dail

Vinvika [58]

Answer: $1,412.52

Step-by-step explanation:

Formula to calculate the accumulated amount if P principal invested for t years at a rate of interest r that compounded daily is given by:-

$A=P(1+\dfrac{r}{365})^{365t}$

Given: P= $2,335.69

r= 4.3%= 0.043

t= 11 years

Then,

$A=2335.69(1+\dfrac{0.043}{365})^{365\times11}\\\\=2335.69(1+0.000117808219178)^{4015}\\\\=2335.69(1.000117808219178)^{4015}\\\\= 2335.69(1.6047566747)\\\\=3748.09044309\approx3748.21\\\\\Rightarrow\ A=\$3748.21$

Interest earned = A-P

= $3748.21- 2335.69.

= $1412.52

Hence, Neal earned $1,412.52 as interest.

8 0

3 years ago

24% is 7kg.What is 40%?

Bas_tet [7]

Answer:

18.1437

Step-by-step explanation:

divide the mass value by 2.205

3 0

3 years ago