Answer: The Answer Is 54 ft2
Answer:
54
Step-by-step explanation:
A=1/2(b)(h)
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Tyler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, while Bethany wants it to be rectangular with a length of 50 feet and a width of 70 feet. Which design would give the maximum area for the garden? Explain.
Bethany’s design would give the larger garden because the area would be 3,500 ft2.
Tyler’s design would give the larger garden because the area would be 3,600 ft2.
Bethany’s and Tyler’s designs would give a garden with the same area.
Bethany’s and Tyler’s designs are not possible with the given amount of fencing.
Answer:
Step-by-step explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
A is wrong. A square maximizes the area.
B is correct.
C The areas are not the same. C is wrong.
D is wrong. Both fence proposals work.
Answer:
B is correct
Explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
Hope this helps! :)
Analyze the diagram below and complete the instructions that
Find the value of x and the value of y.
A. x=15, y=10√3
B. x 20, y=10√3
C. x=20√3 y=5√3
D. x =15, y = 5√3
9514 1404 393
Answer:
D. x = 15; y = 5√3
Step-by-step explanation:
You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.
Since x < 10√3, only answer choices A and D are viable.
Since y < 10√3, only answer choice D is viable.
_____
If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.
x = 15; y = 5√3
Write the first ten terms of a sequence whose first term is -10 and whose common diference is -2.
A rectangle has a base of 8 yards and a height of 12.1 yards. What is the area?
Diogo and his 4 friends want to share the cost of a meal equally. They order
Menu
3 large pizzas and 5 small drinks. If they leave a tip of $7.50, how much does Small pizza $6.00
each person pay?
Large pizza $10.00
Small drink $1.50
Large drink
$3.00
Each person pays $
(Round to the nearest cont as needed.)
Answer:
45 rand
Step-by-step explanation:
3 large pizzas is 10 ×3=R30
5 small drinks is 1.50×5=R7.50
tip of R7.50
add all
30+7.50+7.50
=45
a.
Area of a square: 81 in?
Answer:
Area of square=81 cm^2. ✳But area=side^2. ✳81=s^2
Answer:
Assuming the question is wanting to know the area of a square with sides of 81 inches each, the answer would be
6561 inches squared
Step-by-step explanation:
if each side of the square is 81 inches, you multiply
81 x 81 = 6561
Which statement best describes this graph?
Answer: The answer to this problem is the second choice “As the x-value increases by 1, the y-value decreases by 1/2, the x-intercept is -2.
Have a nice day!
Help plsss anyonnne plsss
Answer:
0.50
Step-by-step explanation:
The question states at least 2 which means 2 or more.
The only applicable numbers to look at would be 2 and 3.
First of all we find 2 since it's missing.
Now all probability distributions must add up to 1.
As we can see there are 0.20, 0.30 and 0.40 which is equal to 0.90. Therefore 1 - 0.90 = 0.10 which would be 2.
Hence, the peobability that x is at least 2 is 0.10 + 0.40 = 0.50.
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14 m . Find the area of the shaded region. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
21.07 m²
Step-by-step explanation:
Please find the complete question in the attached image
Area of shaded region = area of rectangle - area of semicircle
Area of semicircle = [tex]\frac{1}{2}[/tex]πr²
π = 3.14
r = radius = 14/2 = 7m
the diameter of the semicircle is 14m , thus the radius would be half of the diameter
(1/2) x 3.14 x 7² = 76.93 m^
Area of a rectangle = length x width
width = radius of semicircle = 7
14 x 7 = 98 m²
Area of shaded region = 98 m² - 76.93 m^ = 21.07 m²
Find the surface area and volume of the prisim it has 5cm 12cm 13cm and 28cm The surface area of the prism is (blank)cm2 The volume of the prism is (blank)cm3 pls help i need this quick!
Answer:
A = 1124 cm²
V = 840 cm³
Step-by-step explanation:
Assuming the prism is a triangular prism,
Applying,
V = 1/2bhL.................. Equation 1
Where V = volume of the prism, L= lenght of the prism, b = base of the triangle, h = height of the triangle
From the question,
Given: L = 28 cm, 12 cm, h = 5 cm
Substitute these values into equation 1
V = (5×12×28)/2
V = 840 cm³
Surface area (A) = bh+(a+b+c)L
A = (5×12)+(13+13+12)28
A = 60+1064
A = 1124 cm²
PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
Researchers fed mice a specific amount of Aldrin, a poisonous pesticide, and studied their nervous systems to find out why Aldrin causes convulsions. The absolute refractory period, time required for nerves to recover after a stimulus, was measured and varies Normally. The measurements, in milliseconds, for five mice were 2.1, 2.3, 2.3, 2.4, and 2.5.
Part A: Find the mean refractory period and the standard error of the mean. (2 points)
Part B: Calculate a 95% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment. (4 points)
Part C: Suppose the mean absolute refractory period for unpoisoned mice is known to be 2.1 milliseconds. Aldrin poisoning should slow nerve recovery and therefore increase this period. Do the data give good evidence to support this theory? What can you conclude from a hypothesis test? Justify your response with statistical reasoning. (4 points)
Answer:
Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48
Standard deviation = √(summation(x - mean)²/n
n = 6
Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484
Standard deviation = √(0.1484/6
s = 0.16
Standard error = s/√n = 0.16/√6 = 0.065
Part B
Confidence interval is written as sample mean ± margin of error
Margin of error = z × s/√n
Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5
Therefore, z = 3.365
Margin of error = 3.365 × 0.16/√6 = 0.22
Confidence interval is 2.48 ± 0.22
Part C
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 2.3
For the alternative hypothesis,
H1: µ > 2.3
This is a right tailed test
Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.
Since n = 6
Degrees of freedom, df = n - 1 = 6 - 1 = 5
t = (x - µ)/(s/√n)
Where
x = sample mean = 2.48
µ = population mean = 2.3
s = samples standard deviation = 0.16
t = (2.48 - 2.3)/(0.16/√6) = 2.76
We would determine the p value using the t test calculator. It becomes
p = 0.02
Assuming significance level, alpha = 0.05.
Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.
Step-by-step explanation:
A right rectangular prism has a base with an area of `25\ \frac{1}{2}`square feet and a volume of 153 cubic feet. What is the height, in feet, of the right rectangular prism?
Answer:
Height = 6 feet
Step-by-step explanation:
Given the following data;
Base area = 25½ ft²
Volume = 153 ft³
To find the height of the right rectangular prism;
Mathematically, the volume of a right rectangular prism is given by the formula;
Volume = base area * height
Substituting into the formula, we have;
153 = 25½ * height
153 = 51/2 * height
Cross-multiplying, we have;
306 = 51 * height
Height = 306/51
Height = 6 feet
Right rectangular prism is also called cuboid. The height of the right rectangular prism considered is evaluated as of 6 ft
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
For this case, we're provided that:
Base area of the right rectangular prism = [tex]25\dfrac{1}{2} = 25 + 0.5 = 25.5 \: \rm ft^2[/tex]Volume of the right rectangular prism = [tex]153\: \rm ft^3[/tex]Let the length and width of the prism be L ft and W ft
Let the heigth of the prism be H ft
Then, we get:
Area of base = [tex]L \times W = 25.5 \: \rm ft^2[/tex] (since base is a rectangle with length L and width W).Volume of prism = [tex]V = H \times L \times W = H \times 25.5 = 153 \: \rm ft^3[/tex]Thus, we get:
[tex]H \times 25.5= 153\\\\\text{Dividing both the sides by 25.5}\\\\H = \dfrac{153}{25.5} = 6 \: \rm ft[/tex]
Thus, the height of the right rectangular prism considered is evaluated as of 6 ft.
Learn more about volume of a right rectangular prism here:
https://brainly.com/question/21308574
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer: D
Step-by-step explanation: please give me it!
Answer:
maybe the bottom right one?
Step-by-step explanation:
I need Answer Immediately!!!!!!!
Answer:
Step-by-step explanation:
slope intercept form
y=mx+c
Wich is the same as moving the decimal point 3 places to the left in a decimal number
Answer:
dividing # by 100
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
1÷1000=
.001
Moved 3 points to the left
What is the probability of rolling 2 number cubes and getting a 5
on the first one and an even number on the second number cube?
Step-by-step explanation:
n(s) for 2 cubes =6×6=36
n (5, even) = 3
(5,2) (5,4) & (5,6)
so, probability = 3/36 = 1/12
Six people share 3/8 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Enter your answer in simplest form.
answer=1/4
explanation ; 6divided by 3/8=0.25 which is equal to 25/100 or 25 divides 25 once and divides 100 4 times giving 1/4
of the pie.
If a person has eaten 2 out of 4 equal pieces of pie, then they have eaten
A. 1/2
B. 1/4
C. 1/3
D. 2/3
Can someone help me with this math problem?
Answer:
[tex]x=7,\\m\angle LKN = 84^{\circ}[/tex]
Step-by-step explanation:
1. For KM to be the angle bisector of angle LKN, it must be bisect LKN into two equal angles. Therefore, we have the following equation:
[tex]9x-21=6x,\\-21=-3x,\\x=\boxed{7}[/tex]
2. Substituting [tex]x=7[/tex]:
[tex]\angle LKN=9x-21+6x=9(7)-21+6(7)=63-21+42=\boxed{84^{\circ}}[/tex]
Which month had the biggest difference between the high and low temperatures?A.January
B.April
C.October
D.November
Eduardo spent 4 minutes on the phone while routing 2 phone calls. In all, how many phone calls does Eduardo have to route to spend a total of 16 minutes on the phone? Solve using unit rates.
Answer:
8 phone calls
Step-by-step explanation:
Eduardo spent 4 minutes on the phone while routing 2 phone calls. In all, how many phone calls does Eduardo have to route to spend a total of 16 minutes on the phone? Solve using unit rates.
From the above question:
4 minutes = 2 phone calls
16 minutes = x
Cross Multiply
4 minutes × x = 16 minutes × 2 phone calls
x = 16 minutes × 2 phone calls/4 minutes
x = 8 phone calls
Therefore,
Eduardo has to route 8 phone calls to spend a total of 16 minutes on the phone
Which fraction
is equivalent to 6/2
1/3
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
[tex]\frac{3}{1}[/tex] is equivalent to [tex]\frac{6}{2}[/tex] because 3 x 2 = 1 x 6 = 6. 93 is equivalent to [tex]\frac{6}{2}[/tex] because 9 x 2 = 3 x 6 = 18. 124 is equivalent to [tex]\frac{6}{2}[/tex] because 12 x 2 = 4 x 6 = 24.
where dose this go on the number line
Answer:
3.14
Step-by-step explanation:
[tex]\pi[/tex] or commonly known as Pi is equal to 3.14 so it will fit in between 3 and 4 but closer to 3.
Sasha counts unit squares to find the area of the rectangle. What is another way she could find the area?
Answer:
- Take the length and width, and multiply
Step-by-step explanation:
What are two different ways to find the line of symmetry
Please help me with this one.
Answer:
Step-by-step explanation:
Jackie you should know that the supplemental angles always add to 180° :)
That's like angles 1 & 2 or 55° & 1 . both are supplemental and add to 180°
Knowing this should make answering this pretty easy. :)
180 = ∠1 + 55
125 = ∠1
∠3 =∠1
∠2 = 55°
since line g is parallel to f , we know all the angles in the same places of line f are identical... got it?
Complete the equation of the line through (-10,3) and (-8,-8)
Answer:
equation of the line is y = - [tex]\frac{11}{2}[/tex] x- 52
PLSSS HELP I WILL MARK BRAINLIST
The area of the base of right rectangular prism is 14 square inches. The height is 5 inches. What is the VOLUME of the prism?
Answer:
70
Step-by-step explanation:
your height is 14, Given
Your surface area for the top face is 14
the way to make 14 from two factors is 7 and 2
therefore your height is 5 your width is 7 and your depth is 2