Answers
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]Related Questions
Y(2.5+7)+y-2
10.5y-2
Answers
Answer:
−200y − 2
Step-by-step explanation:
y(2.5 + 7) + y −210.5y − 2
=9.5y + y + −210.5y + −2
=(9.5y+ y + −210.5y) + (−2)
−200y − 2
Mark me brainllest
12. Find the highest common factor that divides 24,36, and 72
without learning a remainder.
Answers
Answer:
Your answer is 12
Because the three numbers 24,36,72 are the factors of 12
If you are helped with my answer pls tag me brianliest
THANK YOU....
Does anyone know the answer to this?
Answers
Answer:
x=18 and y=106
Step-by-step explanation:
What is the measure of angle A? How do you know this?
HELPPP QUICK ANSWER BOTH PARTS
Answers
Answer:
x = 20 degrees
Step-by-step explanation:
We know this because angles next to each other in parallelograms add up to 180 degrees, so if we create an equation, 3x + 120 = 180 meaning that 3x = 60, which means that x = 20 degrees.
The sum of 2 numbers is 11 and the difference is 5
Answers
Answer:
let no. be x and y.
we have
x+y=11.......(1)
x-y=5........(2)
adding equation 1&2
x+y+x-y=11+5
2x=16
x=16/2=8
again
8-y=5
y=8-5=3
:.
x=8,y=3
Fencing with the length of 840 m surrounds two identical playing fields with a common side. The fields can be side-by-side and separated by a fence, as shown in the figure. Find the dimensions in the maximum area of each field.
Answers
Answer:
x = 140 y = 105 x · y = 14700 m²
Step-by-step explanation:
good question
it looks like 3 sides of length x
and 4 sides of length y
area 1 = area 2
and the length of all the sides sum to 840
3x + 4y = 840 find the maximum area = 2· x · y
This is a calculus problem that I can't remember how solve
if x = 0 y = 210
if y = 0 x = 280 280 / 2 = 140 the mid-point the logical answer
if x = 140 y = 105 x · y = 14700 m² this appears to be the max
if x = 135 y = 108.75 x · y = 14681.25 m² smaller area
if x = 145 y = 101.25 x · y = 14681.25 m² smaller area
I need an eqaution with a quadratic and take the first derivative
y = (840 - 3x) / 4 xy = max area y = max area/x
(max area) / x = (840 - 3x) / 4 solve for x
max area = x(840 - 3x) / 4
max area = [840x/4 - 3x²/4] '
max area = 210x - 3x²/4 take the first derivative
max area = 210 - 6x/4 maximum occurs when slope = 0
0 = 210 - 3x/2
3x/2 = 210
x = 210·2/3
x = 420 / 3
x = 140 y = 105
3(140) + 4(105) = 420 + 420 = 840 checks
The normal rainfall in September for Denver is 1.24 inches. The normal rainfall for Miami in September is 7.63 inches. The normal rainfall in January for Miami is 2.01 inches. The normal rainfall in January for Denver is 6.91 inches.
To the nearest tenth of an inch, how much more rain does Miami get in September than it gets in January?
Answers
Answer:
5.60 inches
Step-by-step explanation:
7.63 - 2.01 = 5.62
5.62 ≈ 5.6
Tell me if there is any missing information in the question because the information for Denver seems useless and there probably something missing
-3x-6=12 what does x equal
Answers
Answer:
-6
Step-by-step explanation:
Ms. Gonzalez had $70 to purchase school supplies for her class. She bought 29 glue sticks and 29 boxes of crayons. Each glue stick cost $1.29, and each box of crayons cost $0.79. How much money did Ms. Gonzalez have left after these purchases?
Answers
Wesley walked 11 miles in 4
hours.
If he walked the same distance every hour,
how far did he walk in one hour?
Write your answer:
Using a whole number of miles and a whole number of feet
Answers
Answer:
3 miles
58080 feet
Step-by-step explanation:
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.01 mm.
Required:
What are the null and alternative hypotheses?
Answers
Answer:
The null hypothesis is [tex]H_0: \mu = 4.1[/tex]
The alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]
Step-by-step explanation:
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters
This means that the null hypothesis is that the diameter has the supposed value, that is, [tex]H_0: \mu = 4.1[/tex]
If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.
Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]
Pls help me if u can
Answers
Answer:
523.33 cm³
Step-by-step explanation:
Formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {5}^{3} [/tex]
[tex] = \frac{1570}{3} [/tex]
[tex] = 523.3333333...[/tex]
= 523.33 cm³ (rounded to the nearest hundredth)
Find the gradient of the line segment between the points (-3,2) and (-2,5).
Answers
Solution,
Let the points be A and B
A(-3,2)------->( X1,y1)
B(-2,5)------>( x2,y2)
HELP ME WITH THISSS!!!!!!!!!!!!!!!!!!!
Answers
What is the measure of the unknown acute angle in this right triangle?
Answers
Answer:
The answer is 54
Step-by-step explanation:
36+90=126
180-126= 54
Answer:
54 degrees
Step-by-step explanation:
A cryptography expert is deciphering a computer code. To do this, the expert needs to
minimize the product of a positive rational number and a negative rational number, given
that the positive number is exactly 7 greater than the negative number. What final
product is the expert looking for?
What’s the answer?
Answers
9514 1404 393
Answer:
-49/4
Step-by-step explanation:
The product of a positive number and a negative number will be negative. Its value will be minimized (most negative) when the magnitudes of the two numbers are the same. That is, the numbers that are 7 apart are symmetrically located about 0, so each has a magnitude of 7/2.
The product being sought is (7/2)(-7/2) = -49/4.
Answer: -49/4
Step-by-step explanation:
First set up two equations; a primary and a secondary equation.
Primary: P=xy
Secondary: x=7+y
Substitute the secondary equation into the primary equation: P=(7+y)(y), then simply: 7y+y^.
Next find the derivative of the simplified equation: 7+2y, then find the zeros: y = -7/2
Finally substitute y value into the secondary equation and solve for x:
x = 7 - 7/2
= 14/2 - 7/2
= 7/2
Multiply the two values together: -7/2 * 7/2 = -49/4
a system of equations is shown x-2y=-5 2x+4y=14
Answers
Answer: here you go
Step-by-step explanation:
A) 2x + 4y = 14
B) 4x + y = 20
If you multiply equation A by -2, then when the equations are added, the x will be eliminated.
The solutions are:
X = 4.714285714285714
Y = 1.1428571428571428
Can I please get help with this math problem? Thanks in advance.
Answers
Answer:
answer: scale factor is 3
Hope this helps
Answer:
ans :; scale factor is 3
this is the correct ans.
Which of the following is a trigonometric identity?
cot 0 + tan 0 = 1
sec2 0 +csc2 0 = 1
tan2 0 = sin2 0 x sec2 0
cos2 = sec2 0 x tank 0
Answers
Answer:
it's the first one... I think
Answer:
third one
I'm assuming does 2's are squared symbols.
Step-by-step explanation:
It's the third one because
sin^2 x sec^2 x
sin^2 x (1/cos^2 x) by reciprocal identity
sin^2 x/cos^2 x by multiplicative identity prop
tan^2 x by quotient identity
The first one wouldn't work because plugging in pi/4 gives 1+1=1 which isn't true.
The second one doesn't work because plugging in pi/4 gives 2+2=1 which isn't true.
The last equation doesn't make sense at all. There is no variable on the left and on the right there is an extra variable.
A researcher was interested in knowing whether the mean weight of the second baby is higher, lower, or about the same as the mean weight of the first baby for women who have at least two children. She selected a random sample of 20 women who had at least two children and asked for the weights of the first two at birth. She found that the mean of the differences (first - second) was 5 ounces, and the standard deviation of the differences was 7 ounces.
Required:
a. Why was the researcher's study design better than taking independent samples of mothers and asking the first sample about the weight of their first baby and the sec_ and sample about the weight of their second baby?
b. Define the parameter of interest. Use appropriate notation.
c. Write the mean of 5 ounces and the standard deviation of 7 ounces using appropriate statistical notation.
d. Find a 90% confidence interval for the parameter that you defined in part (b). Write a sentence or two interpreting the interval.
Answers
PLEASE ASNWER ILL GIVE YOU BRAINLIEST
Answers
Answer:
33 1/3%
Step-by-step explanation:
(672 - 600) / 4 = 72 / 4 = $18, which is 33 1/3%
Hope that helps! A Brainliest would be appreciated :)
Answer:
3%
Step-by-step explanation:
1) 672-600=72 = the simple interest
2) 72=600(4)r which equals 72=2400r
3) divide 72 by 2400 which get 0.03
4) 0.03 = 3%
PLEASE GELP ME ASAP RHIS IS TIMING ME!!!!!!!!!!!!
Answers
Answer: A .10
Step to step equation :
Alternate interior angles. if you are good at that help
Answers
Answer:
hi
Step-by-step explanation:
i think so,
(5x-54)⁰=(3x+16)⁰
5x-3x=16+54
2x=70
x=35⁰
3x+16=3×35+16=121
5x-54=5×35-54=121
hope it helps
have a nice day
Answer:
x = 35
The angles measure 121°
Step-by-step explanation:
Alternate interior angles are congruent. So,
3x + 16 = 5x - 54
16 = 2x - 54
70 = 2x
x = 35
Now, to find the angle measures, just plug in the value for x.
3(35) + 16 = 121°
5(35) - 54 = 121°
which equation has (2, -1) as a solution
a. y=2x-1
b. y=x+3
c. y=x-3
d. y=-2x+1
Answers
Answer:
y=x-3
-1＝2-3＝-1
............
GIVING EVERYTHING IF CORRECT. No fake answers, you will be reported.
Answers
Answer:
283.5
Step-by-step explanation:
(50 points) please help! no links, brainliest, extra points.
I understand if you need points, you can go to my old questions and answer them for points, please only answer if your 100% sure you're correct. I've redone this over 20 times, asked over 50, and failed all those times. thank uu.
Students were asked to find the median of this data set.
Darcy said, "The median is the number in the middle of the list. So, the median is 21."
Darcy made a mistake.
Her mistake is that she did not _____
A) choose the data point that is in the data set most often
B) order the data points from least to greatest before finding the middle data point
C) ignore the data points that repeat in the data set
D) divide the middle data point by the total number of data points
,
The correct median of the data set is ___
A) 14
B) 16
C) 15
D) 14.5
E) 15.5
Answers
Answer:
The answer is B. The correct median of the data set is C, 15.
Step-by-step explanation:
To do a quick recap:
Mode is the average value that is found by adding up all the values and dividing them by the number of values you used.
Median is the number found in the very middle, so Darcy is correct about what a median is.
Mode is the number that appears most.
Notice that the numbers are not arranged in numerical order from least to greatest. She just took the number that she saw in the middle, without considering where it would stand if the numbers were ranked from least to most.
Here's a ranking of all the numbers from least to greatest:
8, 9, 9, 12, 13, 14, 15, 15, 16, 16, 16, 17, 21
From this ranking, we can see that there are a total of 13 numbers. Therefore, the 7th number is the median, which means that the median is 15.
Answer:
as the person before me said, it is b and 15.
Step-by-step explanation:
i know study island can be hard but keep going, you can do it!
The graph shows the amount of money that Janice saves each week from her summer job. which equation best represents the graph
Answers
Answer:
y = 100x + 200
Step-by-step explanation:
Inscribed Angles & Arcs and Sectors
(Giving brainliest to correct answer)
Answers
Answer:
0.4 pi
Step-by-step explanation:
find the circumference by doing 2 pi r
then you multiply that by a slice of the circle which is 72 degrees divided by 360.
can someone help me answers these questions
Answers
Answer:
3) 156°
4) 24°
5) 24°
6) 24°
Step-by-step explanation:
m∡2: 180 - 156 = 24°
m∡3: 156° (is vertical to angle labeled as 156°)
m∡4: 24° (is vertical to angle 2)
m∡5: 156°
m∡6: 24° (alternate-interior to angle 4)
m∡7: 156° (corresponding angle with ∡3)
m∡8: 24° (vertical with angle 6)
Answer:
Step-by-step explanation:
m∠2 = m∠4 = m∠8 = 180° - 156° = 24°
m∠8 = 156°
The only solution to x^2+bx+c=0 is x=5 find a and b
Answers
Answer:
b=-10
c=25
Step-by-step explanation:
if the only solution is 5 so
x^2+bx+c=(x-5)²=x²-10x+25
b=-10
c=25