answer asap-30 points

Find the measure of angle R.

A- 45
B- 90
C- 60
D- 30

The area of the considered composite figure is given by: Option: 6π + 16 cm²

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

For this case, the missing image is attached below.

As visible, the area of the figure = Sum of area of those 3 semi circles + Area of that square(its square because it has 4 equal sides in which adjacent sides are perpendicular) in between.

The side of the square is of 2+2=4 cm( as half of its side is 2 cm), thus, Area of that square = 4² = 16 cm²

All those 3 semicircles has radius = 2 cm

Since radius is same, so area of those 3 semicircle is same = [tex]\dfrac{\pi r^2}{2} = \dfrac{\pi (2)^2}{2} = 2 \pi\: \rm cm^2[/tex]

Thus, we get:

Area of the composite figure = [tex]2 \pi +2 \pi +2 \pi + 16 \: \rm cm^2 = 6 \pi+ 16 \: \rm cm^2[/tex]

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Answer:

x=2.0

Step-by-step explanation:

Assuming side x is tangent to the circle, we know that this is a right triangle

One of the sides is the radius. We know the radius is 1.5 units long

The other is 1.5+1 units. The length of this side is 2.5 units.

Using the pythagorean theorem...

x²+1.5²=2.5²

x²=6.25-2.25

√x²=√4

x=2

Hope this helps!

Circumference = pi x diameter

Given circumference: 8pi

Diameter = 8

Correct answer: D) 8 cm

Hope this helps!

Answer:

for the first one you find the slope and y intercept and for the second one get Y by itself so you have to subtract the 2x and put it on the 16 side first so it will look like this Y=-2x+16 then find your answer

Step-by-step explanation:

Hope this helps you

[tex]y=3x+1~~~...(i)\\\\2x+y=16~~~...(ii)\\\\\text{Substitute y= 3x+1 in eq (ii):}\\\\2x+3x+1 = 16\\\\\implies 5x +1 = 16\\\\\implies 5x = 16-1 = 15\\\\\implies x = \dfrac{15}5 = 3\\\\\text{Substitute x = 3 in equation (i):}\\\\y= 3(3) +1 = 9+1 = 10\\\\\text{Hence,}~ (x,y) = (3,10)[/tex]

$ 40

the new price she's selling her MP3 player.

3/4 of 40 or (3/4)*40

= $30.

so, she is selling her MP3 player for $30.

Answer:

3

Step-by-step explanation:

Answer:

This is a set of independent events.

Answer:

Slope =6

Step-by-step explanation:

The given equation is in the form: y = mx + b

Here, m is the slope & b is y-intercept

y = 6x + 2

m = 6

The movie star's agent given the star's monthly income and the percentage the agent earns is $8,954.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency.

Agent's earnings = 11% x $81,400 =$8,954

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Answer:

180

Step-by-step explanation:

The answer is 180 because 20 nickels make a dollar and you do 20x9 and that equals to 180

Answer:

$180 nickels

Step-by-step explanation:

9x 20= 180

Answer:

Step-by-step explanation:

First find the volume of the Cylinder, plug in the Radius (3), and the height (14) into the formula.

V= 3 x (3 squared) 9 x 14

V of Cylinder = 378 cm^3

V of Cone use the formula given,

V = [tex]\frac{3*9*5}{3}[/tex]

V = 45 cm^3

Add them together and you get 423 cm^3

Answer:

84 is the smallest number that is evenly divisible by 6, 4, 3, & 42 without a remainder.

84 ÷ 6 = 14

84 ÷ 4 = 21

84 ÷ 3 = 28

84 ÷ 42 = 2

Answer: 55

Step-by-step explanation:

Angle VWX and the 55 degree angle are vertical angles.

The fraction computed shows that the total quantity of meat that Joy bought is 5/6kg.

The fraction can be explained thus: Joy bought 1/2kg of meat from a store and bought 1/3kg of meat from store B. What is the total quantity of meat that Joy bought?

The total quantity of meat that Joy bought will be:

= 1/2 + 1/3

= 5/6

In conclusion, the correct option is 5/6kg.

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Answer:

B) 216.80

Step-by-step explanation:

hope this helps.

Answer:

Step-by-step explanation:

log 2 = 0.69

Prime factorise 32.

32 = 2 * 2 * 2 * 2 *2 = 2⁵

[tex]\boxed{log \ a^{m}=m * log \ a}[/tex]

[tex]log \ 32 = log \ 2^{5}[/tex]

       [tex]= 5*log \ 2\\\\= 5*0.69\\\\= 3.45[/tex]

Answer:

It should be $100 to get it cleaned.

I believe the answer is $100

Answer:207x10^-7

Step-by-step explanation:

Answer:

2.07*10^-7

Step-by-step explanation:

The pooled variance of the samples estimates the weighted variance of the samples

The pooled variance is 2952

The given parameters are:

n = 7

ss = 60

n = 7

ss = 48

The pooled variance is calculated using:

Sp = [SS1^2 *(n1 - 1) + SS2^2 *(n2 - 1)]/[(n1 - 1) + (n2 - 1)]

So, we have:

Sp = [60^2 *(7 - 1) + 48^2 *(7 - 1)]/[(7 - 1) + (7 - 1)]

Evaluate the expression

Sp = 2952

Hence, the pooled variance is 2952

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Answer:

736 in^2

Step-by-step explanation:

To find the surface area of a rectangular prism, the formula is perimeter(of one base)*height + area of two bases.

If you plug in the numbers according to this problem, that is (52*8) + 160(2)

SA = 736

Answer: 48/44

Step-by-step explanation: if the area is 144 the perimeter is going to be 48. if the area is 121 the perimeter is 44. to find the perimeter you have to find the sides, since it is a square they will all be the same length. you have to find the square of the area since the formula for it is lw. then once you find the length of each side, you multiply it by 4 to find the perimeter. then to find the other question multiply the permimeter by 5.

area of square: side²

=======

side² = 121

side = √121

side = 11 cm

====

perimeter of square:

ii)

total distance she ran = perimeter of square * 5

distance  =  44 * 5

distance = 220 cm

Answer:

Step-by-step explanation:

This are 3 triangles

One big one, that is divided into 2

 Of the 2 triangles one is smaller than the other

So

inside the big trangle we have:

Small triange (Small side = 8/ Median side = y /large side =12

Median triangle(small side = y/ Median side = x/ Large side = z

             And then the 2 triangles make a big  triangle:

Large triangle (small side=12/ Median side= z/  Large side = 8+x

Answer:

the answer is 10.52547%

Step-by-step explanation:

Answer:

35.7

Step-by-step explanation:

1 inch = 15ft

15x3= 35

and the .7 is added

35.7 ft I think

Step-by-step explanation:

Answer: It is the third to the top

Step-by-step explanation:

90's block each other out add you rotate it 180 degrees you get this.  

The infusion time for the IV solution that was prescribed = 128 mins.

To calculate the infusion time the formula for IV drip rate is used which is;

Drip rate = volume/time × Drop factor

Drip rate = 25gtt/min

Volume = 320mL

Drop factor= 10 gtt/mL

Time = ?

From the formula above, make time the subject of formula. That is,

Time = vol × drop factor/drip rate

= 320 × 10/25

= 3200/25

= 128 mins

Therefore, the infusion time for the IV solution that was prescribed = 128 mins

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