A composite figure is shown below.
What is the area of the composite figure?
12 in.
0204 square inches
222 square inches
3 in.
5 in.
228 square inches
4 in. 4 in.
234 square inches
24 in.
8 in.
Answers
Answer:
234 square inches
Step-by-step explanation:
Ok take this shape step by step. First solve the rectangle.
The area of the rectangle would be: 24 * 8 = 192
Rectangle Area: 192
Then, solve the area for the triangle in the middle.
The area of that triangle would be: 8 * 3 divided by 2. You get 8 by the base of the triangle, 4 + 4. 3 is of course, the height. Lastly, you divide this by 2 because that is the formula for the area of a triangle. When you solve, you get 12.
Middle Triangle Area: 12
Then solve for the last triangle.
Doing the same thing, the area for that triangle is 12 * 5 divided by 2. So solve, 12*5 = 60, 60/2 = 30
Last Triangle area: 30
Finnally, add all the areas up,
192 + 12 + 30 = 234
Related Questions
Two college instructors are interested in whether or not there is any variation in the way they grade math exams. They each grade the same set of 10 exams. The first instructor's grades have a variance of 58.9. The second instructor's grades have a variance of 84.8. Test the claim that the first instructor's variance is smaller. (In most colleges, it is desirable for the variances of exam grades to be nearly the same among instructors.) The level of significance is 10%. (Recall: that the larger of the 2 variances needs to be in the numerator as the test is 1-tailed to the right)
Answers
Answer:
Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.
Step-by-step explanation:
1)Formulate the hypothesis that first variance is equal or greater than the second variance
H0: σ₁²≥σ₂² against the claim that the first instructor's variance is smaller
Ha: σ₁²< σ₂²
2) Test Statistic F= s₂²/s₁²
F= 84.8/ 58.9= 1.4397
3)Degrees of Freedom = n1-1= 10-1= 9 and n2 = 10-1= 9
4)Critical value at 10 % significance level= F(9,9)= 2.4403
5)Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.
if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00
Answers
Answer:
B
Step-by-step explanation:
There is a 1/4 probability of getting an A out of a bag with letter MATH
For B) There are two A's our of 8 letters is ADMIRALS.
2/8 is the same as 1/4
The answer is B
A) is wrong because that 1/6
C) is wrong because that's 1/8
D) is wrong because that's 2/9
Answer:
B
Step-by-step explanation:
Probability of finding A in a word = number of A / number of letters in that word
Probability of finding A in MATH = 1/4
A. Probability of finding A in BECAME = 1/6
B. Probability of finding A in ADMIRALS = 2/8 = 1/4
C. Probability of finding A in USERNAME = 1/8
D. Probability of finding A in AFTERMATH = 2/9
So we have a match with option B
If you help me and explain how you got your answer you will get brainlisyt
Answers
Answer:
36.72
Step-by-step explanation:
Take 60% of 61.20. That is the markup.
60% * 61.20 = 60/100 * 61.2 = 3672/100 = 36.72
The markup is 36.72
Let x2
+ 10x = 6.
What values make an equivalent number sentence after completing the square?
Answers
Answer:
3/5 OR 0.6
Step-by-step explanation:
Which inequality has (–2.5, –4.5) as part of the solution set?
Answers
Answer:
the answer is c (x+2)^2/16 + (y+6)^2/16 <1
Step-by-step explanation:
on edge 2021 unit test got it right
Answer:
it c
Step-by-step explanation:
When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he was 2.5 km away and at that moment was measured going 0.5 kpm (kilometers per minute). Later, 18 minutes after he started driving, he was 14.8 km from the hotel and at that moment was measured going 0.8 kpm.
A. Find the linearization at 7 minutes.
B. Find the linearization at 18 minutes.
C. Compute two approximations for Brian's distance from his hotel at 14 minutes, using the linearizations from parts a and b.
D. Which approximation do you think is better? Why?
Answers
Solution :
The formula for the linearization of a function [tex]$f(x)$[/tex] at a point [tex]$x$[/tex] = a is given as
[tex]$L(x)=f(a)+(x-a)f'(a)$[/tex]
Assuming the time is t and the distance travelled is [tex]$f(t)$[/tex], that makes the speed as [tex]$f'(t)$[/tex].
So substituting them in the linearization formula,
A. At t = 7 minutes
f(7) = 2.5 km
f'(7) = 0.5 kpm
∴ [tex]$L_7(t)=f(7)+(t-7)f'(7)$[/tex]
[tex]$=2.5+(t-7)0.5$[/tex]
[tex]$=2.5+0.5t-3.5$[/tex]
[tex]$=0.5t-1$[/tex]
B. At t = 18 minutes
f(18) = 14.8 km
f'(18) = 0.8 kpm
∴ [tex]$L_{18}(t)=f(18)+(t-18)f'(18)$[/tex]
[tex]$=14.8+(t-18)0.8$[/tex]
[tex]$=14.8+0.8t-14.4$[/tex]
[tex]$=0.8t-0.4$[/tex]
C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get
[tex]$L_7(14)=0.5(14)-1.0$[/tex]
= 7 - 1
= 6 km
[tex]$L_{18}(14)=0.8(14)+0.4$[/tex]
= 11.2 + 0.4
= 11.6 km
D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km
= 3.5 km
And between the 14 minutes and 18 minutes is = 14.8 km - 6 km
= 8.8 km
This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.
Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km
= 9.1 km
And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km
= 3.2 km
This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.
Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.
Find an ordered pair (x, y) that is a solution to the equation.
2x-y=9
Answers
what is the expression for one-sixth of the sum of 7 and s plus the product of 2 and q
Answers
Answer:
= [tex]\frac{1}{6}[/tex] (7 + s) + ( 2 × q )
I'm pretty much sure that this is correct.
Pls help me with this
Answers
hope this helps! sorry if i’m wrong:)
PLEASE HELP WILL GIVE BRAINLIEST!!!QUESTION IS ATTACHED AS PICTURE!!
Answers
Mortys total cost for the items he has purchased : ?
Mortys revenue from the sales : ?
Mortys total profit was : ?
Answers
Answer:
15.00-2500...
20.00+55.00
Solve for y: 3d = 7y + 5
Answers
Answer:
d = [tex]\frac{7y+5}{3}[/tex]
Step by step explanation:
3d = 7y+5
Divide both sides by 3
[tex]\frac{3d}{3}[/tex]= [tex]\frac{7y}{3}[/tex]+ [tex]\frac{5}{3}[/tex]
Simplify
[tex]\frac{7y+5}{3}[/tex]
Angles c and d are complementary. If angle c is 2x and angle d is 66, what is the value of x?
Answers
Answer:
x=12
Step-by-step explanation:
Complementary angles add up to 90 degrees. 90-66=24. 24 divided by 2 is 12.
Which is the correct vertical cross section through the vertex of the figure?
Answers
If x=7-4 √3 then find the value of (x+1/x)^2
Answers
Answer:
29.03703703
Step-by-step explanation:
7-4 √3 = 5.196152423
(5.196152423 + 0.19245009)^2
***** Help asap! *****
Answers
Tim says 1/8 of this model is shaded. Lucy says 8/8 of this model is shaded.
Answers
Answer:
Step-by-step explanation: Lucy is correct because all of the squares are filled, and therefore instead of 1 square filled, 8 are, this is why lucy is correct :)
Answer:
Lucy is correct.
Step-by-step explanation:
We can see that the ENTIRE model is shaded ( all eight squares).
So Lucy is correct since she stated that 8 out of 8 (8/8) squares are shaded.
8/8 = 1, so whole.
1/8 would mean that only one out of eight squares is shaded, so Tim is NOT coorrect.
Tricia looked at a map of an amusement park that used the scale 1 inch = 1 meter. On the map the roller coaster was 5 inches from the ice cream stand. When Tricia gets off the roller coaster, how far will she have to walk to get to the ice cream stand?
A. 3 inches
B. 6 inches
C. 4 meters
D. 5 meters
Answers
Answer:
D = 5 meters
Step-by-step explanation:
1 inch = 1 meter
5 inch = 5 meter
Whatever you do to one side you do the same to the other.
X^2/3 •5x =5x^5/3
Can someone explain how the exponent is 5/3?
Answers
Does anyone know the answer?
Answers
Step-by-step explanation:
Yes sure.
a. New value of painting=60/100×$550=$330
b. New value of vase=70/100×$395=$276.5
c. New value of clock=180/100×$1175=$2115
d. New value of chair=95/100×$745=$707.75
Find the slope of the line.
Answers
help me please :(*****
Answers
Answer:
54
dcutvihvihvtuutcigciyvihvihvo
Answer:
Step-by-step explanation:
Classify the following triangle, Check all that apply A Equilateral B, Acute C. Scalene D. Obtuse E. Isosceles. F.Right
Answers
Answer:
D) obtuse
Step-by-step explanation:
Answer:
the answer is D. Obtues
Help will give brainly of aw ser is right
Answers
Answer:
40 is your answer:)
Step-by-step explanation:
4x3= 12
12/2=6
6x4=24
4x4=16
24+16= 40
There are 4 triangles and 16 squares.what is the simplest ratio of triangles to square
Answers
The ratio of triangles to squares is 4:16 unsimplified because there are 4 triangles and 16 squares. To simplify the ratio, think of it as a fraction:
4/16
The fraction can be simplified to 1/4, meaning that the simplest ratio is 1:4.
What is the solution to this equation?
325 + 12 = 39
Answers
Answer:
there is no solution to it as the equation isn't true (It doesn't make sense)
Step-by-step explanation:
Step-by-step explanation:
325 + 12 =
325 + 12 = 337
Answer: 337
So this means it isn´t 39
order the numbers 0.3, 2/5, -0.85, 0.09, 3/4, 3/20 least to greatest
Answers
Answer:
-0.85, 0.09, 3/20, 0.3, 2/5, 3/4
Step-by-step explanation:
Turn all the fractions into decimals
2/5 -> .4
3/4 -> .75
3/20 -> .15
Then order them
-.85, 0.09, 0.15, 0.3, 0.4, 0.75
Evaporation and Transpiration
Terminology
- Evaporation - process by which liquid water
passes directly to the vapor phase
Transpiration - process by which liquid water
passes from liquid to vapor through plant
metabolism.
Answers
Answer:
well done
Step-by-step explanation:
find the length of the unknown side
Answers
Answer:
20
Step-by-step explanation:
15^2 + b^2 = 25^2
How much is 24% of 78,000
Answers
Answer: 18,720
Step-by-step explanation:
Let's take this equation
78,000(n)
n will equal 0.24, since we are trying to find 24% of 78,000
78,000(0.24)
18,720
Answer:
18720
Step-by-step explanation:
24/100 × 78,000
=18720
A child weighing 59 lb has a bad infection and is to be given Cefaclor.
The dosage is 15 mg per kg.
The drug will be delivered in an oral suspension with concentration 250 mg/5 mL.
How many mL will she receive?
Round to the nearest whole number.
You will need to convert her weight to kg, using 1 kg = 2.2 lb.
Answers
Answer:
Step-by-step explanation:
59:2,2=26,81
15*26,81:250=1,6086