Answer:
The area of the shaded region of the figure in the exercise is:
27.98 [tex]in^{2}[/tex]Step-by-step explanation:
To obtain the area of irregular shapes, you can divide that shape in figure you know and you can obtain the area, first, we're gonna calculate the area of the right side and the left side with the formula below:
Area of a rectangle = base * height.Area of right rectangle = 1.6 in * 5.2 inArea of right rectangle = 8.32 [tex]in^{2}[/tex]How the left rectangle and the right rectangle have the same measurements, we can say:
Area of left rectangle = 8.32 [tex]in^{2}[/tex]You can see in the center there is a rectangle too, but you need just a half formed by a triangle, you can use two form for this: calculating the area of the triangle or calculating the area of the whole rectangle and next to divide in 2, we're gonna use the first:
Area of triangle = (base * height) / 2In the exercise, the base of the shaded triangle is 2.7 inches, and the height you must add the measurements in the right side:
Height of the triangle = 1.6 in + 5.2 in + 1.6 inHeight of the triangle = 8.4 inNow we replace in the formula:
Area of triangle = (2.7 in * 8.4 in) / 2Area of triangle = 22.68 [tex]in^{2}[/tex] / 2Area of triangle = 11.34 [tex]in^{2}[/tex]By last, you must add all the calculated areas from the shaded regions:
Area of the shaded region = 8.32 [tex]in^{2}[/tex] + 8.32 [tex]in^{2}[/tex] + 11.34 [tex]in^{2}[/tex]Area of the shaded region = 27.98 [tex]in^{2}[/tex]Select the best answer for the question.
7. There are 250 mL of D5W infusing at 33 gtt/
min on IV tubing calibrated at 10 gtt/mL. What is the
infusion time?
O A. 1 hour and 16 minutes
OB. 1.5 hours
O C. 1 hour
O D. 2 hours
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Answer:
A. 1 hour and 16 minutes
Step-by-step explanation:
There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL. Calculate the infusion time.
select "No IV pump"
volume = 250 mL
rate = 33 gtt/min
calibration = 10 gtt/mL
Actual formula:
250 /( 33 gtt/min
10x 60)= 1.26 Hours
0.26 x 60 = 16 minutes
So 1.26 Hours = 1 Hour & 16 minutes
hope this will help you
8
Determine the area
of the shaded
region.
2 ft
7.6.4
Answer:
3.44 ft ^2
Step-by-step explanation:
the box area is 4x4 =16
the circle is 4π = 12.57
16-12.57 = 3.46 this is rounded so 3.44 would work too
help me please!!!!! and thank you!
Answer:
After 5 minutes, the submarine is at 240 ft below sea level.
Step-by-step explanation:
-300 + 16z
After 5 minutes, z = 5.
-300 + 16(5) = -300 + 80 = -240
After 5 minutes, the submarine is at 240 ft below sea level.
help please i’m not sure what 17, 18, 19, and 20 are
Answer:
17. 25 [tex]in^2[/tex]
18. 53 [tex]m^2[/tex]
19. 21.6 [tex]cm^2[/tex]
20. 20.8 [tex]km^2[/tex]
Step-by-step explanation:
The area of a parallelogram is simply the base multiplied by the height.
17.
Base = 5 in
Height = 5 in
Area = Base * Height
Area = 5 * 5
Area = 25 [tex]in^2[/tex]
18.
Base = 10 m
Height = 5.3 m
Area = Base * Height
Area = 10 * 5.3
Area = 53 [tex]m^2[/tex]
19.
Base = 5.4 cm
Height = 4 cm
Area = Base * Height
Area = 5.4 * 4
Area = 21.6 [tex]cm^2[/tex]
20.
Base = 5.2 km
Height = 4 km
Area = Base * Height
Area = 5.2 * 4
Area = 20.8 [tex]km^2[/tex]
A student bought a calculator and a textbook for a course in algebra. He told his friend that the total cost was $115 (without tax) and that the calculator cost $20 more than four times the cost of the textbook. What was the cost of each item? Let x= the cost of a calculator and y= the cost of the textbook. The corresponding modeling system is {x+y=115x=4y+20. Solve the system by using the method of substitution.
Answer:
X=$96
Y=$19
Step-by-step explanation:
x=4y+20
X+Y=$115
4Y+20+Y=$115
5Y+20=$115
-20 -20
5Y=$95
/5 /5
Y=$19
X=4 x $19 + $20
X=$76+$20
X=$96
In linear equation, cost of calculator = $96 , cost of textbook = $19 is the cost of each item .
What are instances of linear equations?
Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.Finding both intercepts of an equation in this form is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.let cost of calculator = x
cost of textbook = y
x=4y+20 .................(1)
X+Y= 115 .................(2)
put value of equation 1 in 2
4Y+20+Y= 115
5Y+20= 115
5Y = 115 - 20
5Y = 95
Y = 95/5
Y = 19
Put value of y in equation 1
X=4 x 19 + 20
X= 76+ 20
X= 96
cost of calculator = 96
cost of textbook = 19
Learn more about linear equation
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1. If CA = 12 cm, what is the measure of ER?
1CD
CD
Answer:
[tex]ER = 12cm[/tex]
Step-by-step explanation:
Given
See attachment for the given shape
Required
Length of ER
The given shape is a parallelogram and the opposite sides are: CA and ER
Given that:
[tex]CA= 12cm[/tex]
We have:
[tex]CA = ER[/tex] --- opposite sides of a parallelogram
So:
[tex]ER = 12cm[/tex]
Four subtracted from two times a number is 48. What is the number?
Answer:
26
Step-by-step explanation:
n*2 - 4 = 48
What is the probability that a point chosen at random is in the blue region?
Answer:
Well It would about 1/10000000 if your talking about all colors, but its not specified how many blue regions other colored regions there are so I cant tell you without knowing.
Step-by-step explanation:
Just Take the amount of regions then put it under the amount of Blue regions there are then look up on a browser, Ex: What is 2/3 into a percent: 66.6 percent, And you have your answer :)
Answer:
15/17
Step-by-step explanation:
If a 2:1 transformer has 220 vac input a voltage test at the primary winding should produce a meter reading of
Answer:
an awnser is an inut example of salt or sugar so it should be around 450 volts
Step-by-step explanation:
thats its capacity
Evaluate the following equation for the given x value. Round your answer to
the nearest hundredth. *
у
600(0.732)"; x = 3
Answer:
585856859686
Step-by-step explanation:
546786676
In the figure below, find the mZ6, in degrees, if m2 = 75°?
87
413
50° 2
1
56
PLEASE HELPP
Answer:
75 degrees
Step-by-step explanation:
2 and 4 are vertical angles so 4 is 75.
4 and 6 are alternate exterior angles so have same value.
6 is 75 degrees.
What is the degree of this polynomial below ?
2x^5 + 4x^3 -3x^8
Answer:
8
Step-by-step explanation:
the degree is the highest exponent value
⚠️ Urgent PLS HELP !!!
find the value of x.
Answer:
x = 14.5
Step-by-step explanation:
This is a supplementary angle, meaning the sum of the angles is 180°.
We can find the value of x by combining like terms.
5x - 6 + 7x + 12 = 180.
5x and 7x are alike.
5x + 7x = 12x.
-6 + 12 = 6.
The final equation is 12x + 6 = 180.
We can solve this by subtracting 6 from 180.
180 - 6 = 174.
12x = 174
Lastly, we divide 174 by 12.
174 / 12 = 14.5
Therefore, x is equal to 14.5
I need help on what to do
Factorise the following completely: (4 marks)
a)a) 81
Answer:
Learn the factors of 92, and the factors of 93, and the factors of 94.All three of these numbers are composite numbers
Solve the following formula for t.
W = C + Crt
Answer:
(W-C)/Cr=t
Step-by-step explanation:
Move the C to the left side to make W-C=Crt
Divide by Cr
(W-C)/Cr=t
Carly read x minutes and Alvin read for 5/8 more than that. WRITE AN EQUATION that relates the number of minutes Carly read (x) with the number of minutes that Alvin read(y). Use decimals in ur equations
Answer:
y = 0.625 + x
Step-by-step explanation:
Carly = x
Alvin = y
y = 5/8 + x
5/8 = 0.625
y = 0.625 + x
HELP PLEASE EDCITE !!!!
Answer:
between 30 and 60
Step-by-step explanation:
P = 3T squared work out the value of p when T = 10
Answer:
P=300
Step-by-step explanation:
P=3T squared
T=10
P=?
P= 3×(10×10)
=3×100
=300
Five metal cubes with sides of 18 cm are melted and casted into a spherical ball. Find the volume of the sphere that is formed.
Answer:
29160cm³
Step-by-step explanation:
(18*18*18) *5 = 29160
Use the work below to answer the following questions.
-4+ 7(1-3m)
-4 + 7 - 21m
-4 – 14m
Answer:
-54
Step-by-step explanation:
Write the equation of the circle with the given information.
Center: (5, -13)
Radius: 11
Answer:
(x - 5)² + (y + 13)² = 121
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, - 13 ) and r = 11 , then
(x - 5)² + (y - (- 13))² = 11² , that is
(x - 5)² + (y + 13)² = 121
PLEASE HELP MEEEEE!!
Answer:
2/6
3/9
4/12
Step-by-step explanation:
Answer:
2, 3, 4
Step-by-step explanation:
Lylreice deposited $1,500 into a savings account, which earns 7% interest compounded annually. What will be the balance in his account after 5 years?
Account Balance =
HELP IM TIMED. ILL MARK BRAINLIEST!
Answer:
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Answer in correct standard form
Plz help!!
Write the equation that represents the graph shown.
3) Bob deposits 15% of \$160 into a savings account, what is the amount of his deposit ?
Answer:
$24
Step-by-step explanation:
160 * 0.15 = 24
Kaila wants to borrow $175,000 for her mortgage.Timberwolf Bank offers a 15-year mortgage at an APR of 4.5%.
Answer:
At the end of the mortgage, $ 293,125 will have been paid.
Step-by-step explanation:
Given that Kaila wants to borrow $ 175,000 for her mortgage, and Timberwolf Bank offers a 15-year mortgage at an APR of 4.5%, to determine the amount to be repaid after the end of the mortgage, the following calculation must be performed:
175,000 x (1 + 15 x 4.5 / 100) = X
175,000 x (1 + 67.5 / 100) = X
175,000 x (1 + 0.675) = X
175,000 x 1,675 = X
293.125 = X
Therefore, at the end of the mortgage, $ 293,125 will have been paid.
What is Limit of StartFraction x minus 1 Over x squared minus 1 EndFraction as x approaches negative 1?
Answer:
D
Step-by-step explanation: :)