Find the area of the trapezoid. Round your answer to the nearest hundredth.
Answer:
42.50 units²
Step-by-step explanation:
Area of the trapezoid = ½(AB + DC)×AD
AB = 6
DC = 11
AD = ?
Use trigonometric function, TOA to find AD:
Tan 45 = Opp/Adj
Opp = AD
Adj = 11 - 6 = 5
Tan 45 = AD/5
5 × tan 45 = AD
AD = 5
✔️Find Area of trapezoid.
Area = ½(AB + DC)×AD
= ½(11 + 6)×5
= 42.50 units²
Solve these equations.
Step-by-step explanation:
no solutions
because the absolute value of any number can never be negative.
QUESTION
The first four terms of a quadratic sequence are 8; 11; 16; 23; .-
Write down the next two terms of the quadratic sequence.
J. 2 Calculate the nth of the quadratic sequence.
i: 5.3 Determine the position of the term 2311 in the sequence.
(1)
(4)
(3)
[8]
Answer:
b
Step-by-step explanation:
During an economic downturn, 11 companies were sampled and asked whether they were planning to increase their workforce. Only 2 of the 11 companies were planning to increase their workforce. Use the small-sample method to construct an 80% confidence interval for the proportion of companies that are planning to increase their workforce. Round the answers to at least three decimal places.
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is _______ < p< ________
Answer:
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Only 2 of the 11 companies were planning to increase their workforce
This means that [tex]n = 11, \pi = \frac{2}{11} = 0.182[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 - 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.033[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 + 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.331[/tex]
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
Please help quickly what's the answer Ill give u brainlest
Richard deposits $193.67 every month into his mortgage. At the end of 30 years, he has a balance of $120,182.07. What interest has accrued (been earned) over 30 years?
Hunter has 6 cups of yogurt to make smoothies. Each smoothie uses 1/2 cup of yogurt.
How many smoothies can Hunter make with the yogurt?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 12
Explanation:
6 / 1/2 = 6 x 2 = 12
I hope this helped!
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- Zack Slocum
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The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.
Answer:
2√3 = hypotenuse
√3 = side
Step-by-step explanation:
[tex]\sqrt{3^{2} +x^{2} } = 2x \\\sqrt{9 +x^{2} } = 2x\\9+x^{2} =(2x)^{2} \\9+x^{2} = 4x^{2} \\9 = 4x^{2} - x^{2} = 3x^{2} \\3 = x^{2}\\\sqrt{3} = x\\\\2x = 2\sqrt{3}\\[/tex]
Answer:
the smaller side=√3
hypotenuse=2√3
Step-by-step explanation:
(see the attachment below)
First, write the expression Second, 7 in fol the variable, p. Third, by 7 and 5. The answer is
Answer:
p-5
substitute
simplify
subtracting
2
Step-by-step explanation:
got it right on edg
The value of x must be greater than
B
12
...d
0 0
A
15
0 1
O 3
07
9514 1404 393
Answer:
(c) 3
Step-by-step explanation:
The value of x must be between the difference and sum of the lengths of the other two sides. The value must be greater than 15-12 = 3.
x > 3
i need help [lzzzzzzzzzzzzzzzzz
A bag of trail mix contains 3 ounces of peanuts, 6 ounces of cranberries, 2 ounces of almonds, and 2 ounces of raisins.
What is the ratio of ounces of peanuts to ounces of almonds? Write the ratio in three different ways?
Answer: 9514 1404 393
3 : 2
3/2
1.5
Step-by-step explanation:
Ratios can be written using a colon, division symbol, or as a pure number. (Consult your curriculum materials to see what their take on it is.)
3 ounces of peanuts to 2 ounces of almonds can be written as ...
peanuts : almonds = 3 : 2 = 3/2 = 1.5
Tell if the slope is positive, negative, zero, or no slope.
POSITIVE
Answer:
Negative
Step-by-step explanation:
The line is trending downwards, which is indicative of a negative slope.
Two investments totaling $15,500 produce an annual income of $1450. One investment yields 10% per year, while the other yields 5% per year. How much is invested at each rate?
Answer:10% rate:
Principal = p
Rate = 0.10
Interest = 0.10p
5% rate:
Principal = 15500 - p
Rate = 0.05
Interest = 0.05(15500 - p) = 775 - 0.05p
0.10p + (775 - 0.05p) = 1450
0.05p + 775 = 1450
0.05p = 675
p = 13500
10% rate:
Principal = p = $13,500
5% rate:
Principal = 15500 - p = 15500 - 13500 = $2000
Step-by-step explanation:
hope it helps
Simplify the radical expression. ⁴√81x²⁰y²⁴
I think it's either A or B
Answer:
3x^5y^6 (a)
Step-by-step explanation:
La raiz de un productor es igual al producto de las raices de cada factor
^4√81 ^4√x^20 ^4√y^24
escriba el numero en forma exponencial an base 3
^4√3^4 ^4√x^20 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 y^6
simplifica el indice de la raiz y el exponente usando 4
3x^5y^6
What is the cube root of -729ab6?
O-9ab2
O
-9ab3
O-8a3b2
O
-8a²b3
Answer:
Step-by-step explanation:
The way they are written, question does not fit any of the choices. Did you mean ∛(-729ab⁶) ? ∛(-729a³b⁶) ?
You randomly draw twice from this deck of cards
What is the probability of drawing a 3, then drawing an even number without replacing the first card?
Answer:
probability: 1/10 or 10%
The figure shows the dimensions of a room. How much carpet is needed to cover the floor of the room?
Length = 4m
width = 6m
Answer: 24m
Step-by-step explanation:
How much carpet is asking the area and area= LW
so Length(4) x Width(6) = 24
Which equation best describes the graph?
8
2
-8
-6
-4
-2
2
2
8
-2
4
-6
-8
С
A y = 2x + 4
y = -2x +
Dy=-3x+4
B
y = 3x + 4
Answer:
b i think
Step-by-step explanation:
Answer:
b...................
What is JM? please help :((
Answer:
I think its D 30
Step-by-step explanation:
help me with this plzzz
Answer:
b is the answer
Step-by-step explanation:
if you look at the graph chart you will notice that b lines up with negative 4 and positive 2
Which is bigger: 3 pints or 8 cups?
Answer:
8 cups is bigger
Step-by-step explanation:
3 pints = 6 cups
6 < 8
What is the solution to 5/6 X 2/3 =
? Mark the TWO correct
answers.
Answer:
5/9
Step-by-step explanation:
Answer:
i think is 5/9 :))
PALEEZE Help Me!! The ceiling of Katie’s living room is a square that is 16 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 28 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work and draw a diagram to support your answer.
Answer:
At least 4
Step-by-step explanation:
Photo of my work and where I got the equation from
Judith has x math problems to do for homework. Harry has 2 times as many problems to do as Judith. Janessa has 10 more math problems to do than Judith. Which expression represents the total number of math problems Judith, Harry, and Janessa have to do all together
Answer:
4x+10
Step-by-step explanation:
Judith= x
Harry = 2x
Janessa= x+10
expression in total= x+2x+x+10 = 4x+10
Help? I will give brainlist ! also I report people who add links :) have a good day!
Answer:
1/2 < 3/4,
6/12 < 5/8,
2/3 = 4/6,
3/8 > 1/4
Step-by-step explanation:
Plz mark as Brainllest
Can someone help meeee plz and no link plz is due in 9 minutes
Answer:
A (4,3)
Step-by-step explanation:
J is inside the parallelogram.
K is indside a trapezium.
So we want to find the coordinates of point J.
Reading from the scales, point J is x = 4 and y = 3.
Writing our answer in the form (x, y) coordinates of J are: (4,3)
A is the point (2, 3) and B is the point (7,-5).
Find the co-ordinates of the midpoint of AB.
Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.
Given points,
(2 , 3) and (7 , -5)We have :
x₁ = 2x₂ = 7y₁ = 3y₂ = -5[tex] \red\bigstar[/tex]Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]Now, refer to the attachment.
Learn more from brainly :
https://brainly.com/question/23658067https://brainly.com/question/27354466https://brainly.com/question/27354479https://brainly.com/question/27354524https://brainly.com/question/27354542please answer you will be awarded brainleist
Answer:
Hi, I'm here!
Solve the difference of 9x and 8x is 107
Answer:
x = 107
Step-by-step explanation:
If x = 107,
(9 x 107) - (8 x 107) = 107
Then x must be 107.
PLEASE HELP ME!!!
You and your friend got tricked into helping another friend move stuff from a garage into moving truck. The ramp used is 12 feet long and makes a 36° angle with the horizontal ground. You discover that the incline is just too steep, so you replace the ramp with one that is 32 feet long. What angle does this replacement ramp make with the ground? Round your answer to the nearest tenth of a degree
Answer:
12.73 Degrees
Step-by-step explanation:
I'm going to assume some things. The height of the truck is not changing, i.e. the the distance and length of the ramp is but the height stays the same.
We draw our right triangle, see photo
We really only care about finding out what side a is so
[tex]c = \frac{a}{ \sin(x) } [/tex]
Note: Let x = A
[tex]12 = \frac{a}{ \sin(36) } [/tex]
[tex]12 \sin(36) = a \\ a = 7.05342302750[/tex]
[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{12} ) \\ = 35.9999 \: degrees[/tex]
So, since I stated that height did not change, same process just using 32 for the hypotenuse.
[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{32} ) \\ = 12.73367164 \: \: degrees[/tex]