Answers
Answer:
1. First, we need to find the area of the rectangle, then subtract the non-shaded region from the total of the rectangle's area.
Area of rectangle formula;
A = LW
Where 'L' represents the length, and 'W' represents the width.
Plug in your values:
A = LW
A = 8(13)
A = 104, now that we've found the area of this total rectangle, we need to find the area of the triangle and subtract that from the area of the rectangle.
Formula for area of triangle;
A = BH x 1/2
Where 'B' represents the base, and 'H' represents the height and 1/2 is just 1/2.
But, if we look at this triangle we can see that we don't have the base.
So what we have to do is subtract the given side lengths beside it (which you add up) from the total width.
Given length beside unknown base: 4 and 4
So, (4 + 4) = 8, and the total width is 13.
So: 13 - 8 = 5, 5 is our base.
Now we plug these into our formula:
A = BH x 1/2
A = 5(6) x 1/2
A = 30 x 1/2
A = 30/2, which equals to 15.
Now we subtract the non shaded region(triangle) from the shaded region(total area of rectangle).
104 - 15 = 89 meters.
2. In this figure, we find the area of the whole triangle, not considering the small empty vertical-positioned rectangle to the bottom left corner.
Let's find the total base and total height.
As we can see, in the bottom triangle the height is 4, the other triangle has a height of 5. Combine these to get (4 + 5) = 9 is our total height of the whole triangle.
Now we find the base, 5 is the base of the bottom triangle and the other triangle has a base of 2, combine these to get: (5 + 2) = 7 is the total base of the whole triangle.
Now plug these into our formula of area of triangle;
A = BH x 1/2
A= 7(9) x 1/2
A = 63/2
A = 31.5, is the area of the whole triangle.
Now let's find the area of the empty rectangle to our bottom left corner.
Our length is 4, our width is 2.
A = LW
A = 4(2)
A = 8
Now subtract the empty rectangle's area from the total area of the triangle:-
31.5 - 8 = 23.5 inches.
3. We can see that in this figure, there is an empty semi circle(that has no area) apart of a square.
So to find the area of the unfinished square, we find the area of the semi circle and subtract it from the total area of the square.
Formula for area of a circle:
A = π[tex]r^{2}[/tex]
Where 'π' represents pi aka (22/7 or 3.14), and 'r' represents the radius which is being squared.
But if we were to find the area of a semi circle, we would have to divide the whole formula of a regular circle by 2.
So, A = π[tex]r^{2}[/tex]/2
Now, we plug in the values showing in the diagram into our equation.
Though, since we are given a diameter of 6, we need to find the radius which is 1/2(half) of the diameter.
SO,
1/2 x 6 = 3.
Now that we have our radius, we can finally plug this into our equation:-
A = π[tex]r^{2}[/tex]/2
A = 3.14(3^2)/2
A = 3.14(9)/2
A = 28.26/2
A = 14.13, is our area of the semi circle.
Now we have to find the total area of the square, which we easily just multiply the two lengths.
6(length) x 6(width)
= 36, is the area of the total square.
Now we subtract the area of the semi circle from the area of the total square:
36 - 14.13 = 21.87 feet.
4. To find the area of this, we must split the figure into two shapes, a rectangle and a semi circle.
Using the formulas we applied to our past problems;
(Rectangle)
A = LW
A = 20(8)
A = 160, is the area of the rectangle
Now the semi circle (ignore the 12.56, because it's just the circumference):
We have to find the radius, (1/2 x diameter), so: (1/2 x 8) = 4 is our radius.
A = π[tex]r^{2}[/tex]/2
A = 3.14(4^2)/2
A = 3.14(16)/2
A = 50.24/2
A = 25.12, is the area of the semi circle.
Now we add the two areas,
160 + 25.12 = 185.12 feet.
5. We split this figure into two shapes, a rectangle and a triangle.
Using the formulas we applied earlier to our past problems.
(Rectangle)
A = LW
A = 14(12)
A = 168, is the area of the rectangle.
(Triangle)
A = BH x 1/2
A = 8(12) x 1/2
A = 96 x 1/2
A = 96/2
A = 48, is the area of the triangle.
Now we add these areas;
168 + 48 = 216 centimetres.
Related Questions
A triangle has one leg of 24 inches and one leg of 10 inches. For the triangle to be a right triangle, what must be the length of the hypotenuse
Answers
Answer: 26 inches
Step-by-step explanation:
The hypoteneuse is the longest side in a triangle. From the question, we are already informed that a triangle has one leg of 24 inches and one leg of 10 inches.
To calculate the hypotenuse, we add the square of both legs together which are the opposite and adjacent and then find the square root. This will be
hypotenuse² = 24² + 10²
hypotenuse² = 576 + 100
hypotenuse² = 676
hypotenuse = ✓676
hypotenuse = 26
The hypothenuse is 26 inches
i need help with my math asap
Answers
Answer:
Q2. yards/ second= 92/8 = 11.5
Q3. 192/6 =32
Q4 123/15 =8.2
Q5. 192/3 =64
remember you need to add the unit
Step-by-step explanation:
An object is moving at 50 feet per second. A car is trying to keep pace with the object. Which Statements are true?
Answers
Answer:
what are the statements?
Step-by-step explanation:
Answer:
A. Use 50ft/1 sec × 60sec/1 min×60min/1hr×1hr/5280ft to determine the car's required speed.
D. The car needs to travel at about 34 mph
Step-by-step explanation:
type the dimensions of a different shaped box that has the same volume
Answers
Step by Step Explanation:
120ft³ = 3ft × 4ft × 10ft
120ft³ = 1ft × 1ft × 120ft
120ft³ = 2ft × 2ft × 30ft
120ft³ = 5ft × 3ft × 8ft
...
Taking fractions or mixed numbers as dimensions, you can give infinitely many such shapes with a volume of 120ft³.
Write the equation, in standard form, of the line passing through (0,-8) with a slope of -1/2
Answers
Answer:
The answer is
[tex] \huge \boxed{y = - \frac{1}{2} x - 8 }[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (0,-8) and slope - 1/2
We have
[tex]y + 8 = - \frac{1}{2} (x - 0) \\ y + 8 = - \frac{1}{2} x \\ y = - \frac{1}{2}x - 8[/tex]
We have the final answer as
[tex]y = - \frac{1}{2} x - 8 \\ [/tex]
Hope this helps you
Pleaseee helppp me question 2 !!!
Answers
Answer:
2.is a function
Domain:(0,1,2,3)
Range: (0,-1,-2,-3）
3. Not a function
4. Is a function
D:(0,1,2,3)
R:(1,2,3,4,)
A company currently uses Brand A lightbulbs, which have a mean life of 1,000 hours. A salesperson marketing Brand B, a new brand of bulb, contacts the company. The company will switch to the new brand of bulb only if there is convincing evidence that the mean life of Brand B is greater than 1,000 hours. Which of the following hypotheses should the company test?
A. H0: The mean life of Brand B is 1,000 hours.
H1: The mean life of Brand B is more than 1,000 hours
B. H0: The mean life of Brand B is 1,000 hours.
H1: The mean life of Brand B is less than 1,000 hours
C. H0: The mean life of Brand A is 1,000 hours.
H1: The mean life of Brand A is more than 1,000 hours
D. H0: The mean life of Brand A is 1,000 hours.
H1: The mean life of Brand A is less than 1,000 hours
E. H0: The mean life of Brand A is equal to the mean life of Brand B bulbs
H1: The mean life of Brand A is not equal to the mean life of Brand B bulbs
Answers
The hypotheses of the company are:
H0: The mean life of Brand A is 1000 hoursH1: The mean life of Brand B is more than 1000 hoursHow to determine the hypothesesThe hypotheses consist of the null and the alternate hypotheses
The null hypothesis is always represented by the equal to "=" sign.
So, the null hypothesis is:
H0: The mean life of Brand A is 1000 hours
From the question, we understand that the evidence is to show that the mean life is greater than Brand B.
So, the alternate hypothesis is:
H1: The mean life of Brand B is more than 1000 hours
Read more about null and alternate hypotheses at:
https://brainly.com/question/15980493
You want to put edging around your above ground rectangular pool. The dimensions of the pool are 20ft by 25ft. How many feet of edging do you need to purchase to surround the pool?
Answers
Answer:
90 ft
Step-by-step explanation:
perimeter = 2L + 2W
2(20) + 2(25)
40 + 50
90 ft
it says to evaluate and reduce, i can't find the answer
Answers
Answer:
[tex]\frac{28}{3}[/tex]
Step-by-step explanation:
When dividing fractions, we must always remember a very important step:
we can multiply the two fractions instead of divide as long as the second fraction must be flipped opposite as a reciprocal.
Let me explain:
When given a simple problem like [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{2}{3}[/tex] , we flip the second fraction (called reciprocal) and multiply it together instead.
[tex]\frac{1}{2} * \frac{3}{2}[/tex]
There, we can just multiply the numerators with each other and the denominators as each other.
1x3=3
2x2=4
Therefore, the answer will be [tex]\frac{3}{4}[/tex].
Similar in this case, we must flip the second fraction and pretend we never even saw a division sign (because who likes dividing anyways?)
[tex]\frac{35}{5}[/tex] ÷ [tex]\frac{-3}{4}[/tex] flip and multiply reciprocal
[tex]\frac{35}{5} * \frac{-4}{3}[/tex]
[tex]\frac{140}{15}[/tex] simplify
[tex]\frac{28}{3}[/tex] final answer!
nadia bought 4.3 pounds of ham on tuesday and 1.7 pounds of ham on wednesday. she spent a total of 41.94. what was the price of the ham per pound
Answers
Answer:
B) $6.99
Step-by-step explanation:
Evaluate the expression,
if x = 9, y = 3, and z = 5.
z2•(x-y)
Answers
Answer:
The answer should be 150
Step-by-step explanation:
5 2 . (9-3)
5 2 . (6)
25.(6)
=150
You have to follow PEMDAS.
Parentheses
Exponents
Multiply
Divide
Add
Subtract
Write an equation in slope intercept form of the line that passes through the points (-5,4) and (5,0)
Answers
Answer: y=-0.4x+2
Step-by-step explanation:
In what quadrant is the ordered pair (6, -4) located?
II
I
IV
III
Answers
Answer:
IV
Step-by-step explanation:
plot it on a graph and it lands in the bottom right of a graph which is the fourth quadrant
Answer:
plot twist my phone and I have a great day to be a great day to be a great day to
Step-by-step explanation:
he was a great day to be a great day to be a great day to be a great day to be a great day to be in the world and I am not a good day and I love
Which inequality represents the statement A final grade of at least 90?
A. x < 90
B. x >90
C. x < 90
D. x > 90
Answers
Answer:
B. x>90
Step-by-step explanation:
please make be the part of brainly
Angelo, age 40, is comparing the premium for a $125,000 whole life insurance policy he may take now and the premium for the same policy taken out at age 45. the annual life insurance premium (per $1000 of face value) for a 40-year-old male is 22.60 and for a 45-year-old male is 27.75. what would be the difference in total premium costs over 20 years for this policy at the two age levels? a. $69,375 b. $11,725 c. $12,875 d. $644
Answers
The difference in total premium costs over 20 years at the two age levels is $12875.
What is face value?Face value is a term used to describe the nominal value of a security, as stated by its issuer.
Let us consider the entire scenario for a 40-year old male.
Annual life insurance premium per 1000 of face value = $22.60
So, the annual life insurance premium for a $125,000 whole life insurance policy = 125000/1000 * 22.60 = $2825.
For 20 years the premium will be = 2825*20 = $56500
Let us consider the entire scenario for a 45-year old male.
Annual life insurance premium per 1000 of face value = $27.75
So, the annual life insurance premium for a $125,000 whole life insurance policy = 125000/1000 * 27.75 = $3468.75
For 20 years the premium will be = 3468.75*20 = $69375
The difference in total premium costs over 20 years = 69375-56500 The difference in total premium costs over 20 years = $12875
Therefore, The difference in total premium costs over 20 years at the two age levels is $12875.
To get more about face value visit:
https://brainly.com/question/24320257
Answer: c. $12,875
have a lovely day/night everyone <3
Brooke and Aria ran a half marathon. Brooke finished in 1 hour 55 minutes.
Aria finished in 105 minutes. Who had the faster time?
Answers
Answer:
aria
Step-by-step explanation:
105min=1 hour and 45 min
Step-by-step explanation:
Brooke and Aria ran a half marathon. Brooke finished in 1 hour 55 minutes. Aria finished in 125 minutes. who had the faster time. ANSWER IS BROOK 1 hr 55 minutes Aria 125 minute=2 hrs in case question is worded differently Edmentum
What is the probability of rolling a number less than 3?
Answers
Answer:
2/6
Step-by-step explanation:
possible outcomes are 1, 2, 3, 4, 5, and 6. since there are 6 outcomes its out of 6. less that 3 is 1 and 2. 2/6
1/3
Rearrenge the letters to form new word (math related) and then in one word or a phrase define/describe it 1. LURE ______ 2. SMERT______ 3. IFEINT ______ 4. IAMNOD______ 5. RANGERA_______ 6. REPTANT_______ 7. TINIFINE________ 8.UNQUEENS_______ 9. SECTIONCUVE_______ 10. COACHINGLALOR_________
Answers
Answer:
1. RULE - A wood for taking length measurements
2. TERMS - Parts of an expression or series
3. FINITE - Countable
4. DIAMOND - Also known as a rhombus
5. ARRANGE - Place a given number of terms in order
6. PATTERN - Repeating sequence
7. INFINITY - Continuous indefinitely
8. SEQUENS - (in et sequens) And the next
9. CONSECUTIVE - Numbers arranged such that they follow each other and having no gaps
10. ICONOGRAPHICAL - (the P was added to find a closely related word) Interpretation and description of images
Step-by-step explanation:
Melisande collected 14 bottles on Saturday and 9 bottles on Sunday for recycling. On Monday, she took all the bottles to the recycling center, where they paid her a certain amount, b, for each bottle. However, she had to pay the recycling center a one-time service fee of $0.25. If she left there with $3.20 for the bottles, what is the value of b?
Answers
Answer: The value of b is $0.15.
Step-by-step explanation:
Total bottles co0llected = 14+9 =23
Payment for each bottle = b
Total payment she will get = 23b
One -time service fee = $0.25
She has left = $3.20
According to the question,
23b - 0.25 = 3.20
⇒23b = 3.20+0.25
⇒23b = 3.45
⇒b = 0.15 [divide both sides by 23]
Cost of each bottle = $ 0.15
hence, the value of b is $0.15.
Answer:
B. $0.15
Step-by-step explanation:
Which function is the inverse of Ax) = (x – 3)^3 + 2?
OA. 1-1,5) = V – 2 + 3
OB. 1-1,2)=x + 3 - 2
OC. 1-1,4)= x + 2 - 3
OD. 1-15)= - 3+ 7
Answers
help pls first correct answer gets brainleist
Answers
Explanation: You need to add all the four numbers to find the perimeter.
10+4+6= 20
And the perimeter of this shape is 38, so 38-20= 18
how many square feet of outdoor carpet will we need for this hole 11ft 2ft 3ft 6FT 7FT
Answers
does someone know this? help me pls!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which number below best represents a temperature of 28 1/3 degrees below zero?
A. 28 1/3
B. -31 1/3
C. 31 1/3
D. -28 1/3
Answers
That’s what I got so it should be right
what is the interquartile range (IQR) of the data set represent by this box plot
Answers
Answer:
IQR=Q3-Q1
73-51=22
Answer:22
Step-by-step explanation:
Formula for the surface area of a cylinder, SA = 2ar2 + 2arh. Solve for h.
Answers
Answer:
[tex]\displaystyle h = \frac{A-2\pi r^2}{2\pi r}[/tex]
Step-by-step explanation:
Recall that the surface area A for a cylinder is given by:
[tex]\displaystyle A=2\pi r^2+2\pi rh[/tex]
And we want to solve for the height h.
First, subtract [tex]2\pi r^2[/tex] from both sides. This yields:
[tex]2\pi rh= A-2\pi r^2[/tex]
Now, we can dvide both sides by [tex]2\pi r[/tex]. This yields:
[tex]\displaystyle h = \frac{A-2\pi r^2}{2\pi r}[/tex]
And we're done!
Rewrite using the distributive property.
Answers
Answer:
[tex]8b+56[/tex]
Step-by-step explanation:
Given the following question:
[tex]8(b+7)[/tex]
To rewrite any expression using the distributive property we have to multiply the number outside of the paratheses to the numbers/variables within the paratheses.
[tex]8(b+7)[/tex]
[tex]8\times b=8b[/tex]
[tex]7\times8=56[/tex]
[tex]8b+56[/tex]
Your answer is "8b + 56."
Hope this helps.
Question in picture.
Answers
Answer:
x = -9
-2 x -9 = 18
18 + 7 = 25
You and your brother walkie talkies to use outside. The range of the walkie talkies only covers a circular area with a radius of 3 feet. How many feet of coverage will the walkie talkies get before you lose contact?
Answers
Answer:
6 feet
Step-by-step explanation:
Because diameter=radiusx2
6 feet=3 feetx2
John changes £450 to euros.
The exchange rate is £1 = 1.16 euros.
Change £450 to euros.
Answers
The answer is 522 euros.
The equation 4(3h - 2) = 3(5 + 4h) has
solution(s).