Answer:
x = 18[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 9² = 27²
x² + 81 = 729 ( subtract 81 from both sides )
x² = 648 ( take the square root of both sides )
x = [tex]\sqrt{648}[/tex] = 18[tex]\sqrt{2}[/tex] ← exact value
x ≈ 25.5 ( to 1 dec. place )
PLZ GIVE THE CORRECT ANSWER I CANNOT FIGURE IT OUT
Answer:
It 148.22
Step-by-step explanation:
Trust me boi and good luck!
In the early 2016 there were about 80 devils living on Maria island.Of that total, 75% are offspring from the previous two breeding seasons. How many are offspring
Answer: 60 devils
Step-by-step explanation:
Question wants to know the number of offspring from the two previous breeding seasons.
There are 80 devils on the island. 75% of this 80 are from previous breeding seasons.
We need to find this 75% in whole numbers:
= Percentage of devils from previous seasons * Total number of devils
= 75% * 80 devils
= 60 devils
Mr. barrera has 2 bags of cat food. One bag has 20 ounces and the other has 3 1/2 times as much as the first bag. If Mr. Barrera uses 1/5 of the cat food from the larger bag to feed his cats, how many ounces of cat food did he use?
Answer: 14 oz
Step-by-step explanation: Trust me it’s right
The number of ounces of cat food that Mr. Barrera used is; 14 Ounces (Oz)
Number of bags with cat food = 2 bagsNumber of ounces in first bag = 20 OzOther bag has 3½ times as much as first bag. Thus;
Number of ounces in second bag = 3½ × 20 = 70 Oz
He uses 1/5 of the cat food from the larger bag.
Thus;
He used; 1/5 × 70 = 14 Oz of cat food
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A company negotiator claims that only 35% of union members will support a strike, but a union rep believes that the true percentage is greater and runs a hypothesis test. What are the hypothesis statements for this situation?
A. H0: p < 0.35; Ha: p = 0.35
B. H0: p = 0.35; Ha: p < 0.35
C. H0: p > 0.35 ; Ha: p = 0.35
D. H0: p = 0.35; Ha: p > 0.35
Answer:
[tex](d)[/tex] [tex]H_o: p = 0.35[/tex] [tex]H_a: p > 0.35[/tex]
Step-by-step explanation:
Given
[tex]\mu = 35\%[/tex]
Required
The hypothesis statements
First claim: 35% will support a strike.
This represents the null hypothesis
[tex]H_o: p = 0.35[/tex]
Second claim: A greater percentage will support the strike.
This represents the alternate hypothesis
[tex]H_a: p > 0.35[/tex]
Find the value of x in the isosceles triangle shown below.
Answer:
12
Step-by-step explanation:
x is the height, and we notice that this isosceles triangle is two 5-12-13 triangles put together. Therefore, x = 12
Another method. Use pythagorean theorem. x^2 + (10/2)^2 = 13^2
x^2 + 25 = 169
x^2 = 144
x = 12
1. Find the present value of an investment that is worth $19,513.75 after
earning 3% simple interest for 5 & 1/2 (5.5) years.
2. Mr. Clopu buys an 18-month CD that pays 4 3/4% simple interest for $5,000. Find the value of the CD at the end of its term.
1) To get the present value, we need to get the amount after 5.5years
Amount = Principal + Interest
Interest = PRT/100
Interest = $19,513.75*3*5.5/100
Interest = 321,976.875/100
Interest = $3219.76875
Amount = $19,513.75+$3219.76875
Amount = 22,733.51875
Hence the present value is $22,733.51875
2) Simple Interest = PRT/100
Simple Interest = 5000*(4 3/4)* 18/12*100
Simple interest = 5 * 19 * 18/4*12
Simple interest = 1710/48
Simple interest =35.625
Amount = 5000 + 35.625
Amount = $5035.625
Hence the present value is $5035.625
My father invests $5000 in a new bank that has an annual
interest rate of 3.8%. Find the balance
after 10 years if it is compounded yearly. Round your answer to
the nearest whole dollar.
$
Dan is planning an event for which the total cost cannot exceed $400. Dan plans to spend $180 on food and to hire a clown at the rate of $35 per hour. Which inequality correctly shows Dan's spending in terms of h, the number of hours that the clown can be at the party? *
Answer:
using above inequality equation, we can find the total hours in which the clown can be at the party
The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;
⇒ $180 + $35h < $400
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Dan is planning an event for which the total cost cannot exceed $400.
And, Dan plans to spend $180 on food and to hire a clown at the rate of $35 per hour.
Now,
Let number of hours = h
So, We can formulate;
Total spend money = $180 + $35h
Hence, The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;
⇒ $180 + $35h < $400
Thus, The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;
⇒ $180 + $35h < $400
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help me plz 10 points
Answer:
580 cm
Step-by-step explanation:
To find the surface area you just need to find the area of every side of the box and add them together.
SO- the equation for this would be
SA (Surface Area) = 2(20 x 10) + 2(20 x 3) + 2(10 x 3)
SA = 2(200) + 2(60) + 2(30)
SA = 400 + 120 + 60
SA = 520 + 60
SA = 580
2.2
Determine the length of the rectangle if the area is 800 cm² and the breadth is 20 cm
Answer:
40 cm
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = lb ( l is the length and b the breadth )
Here b = 20 and A = 800 , then
l × 20 = 800 ( divide both sides by 20 )
l = 40 cm
By what percentages are Sweden's high category and medium category less than the United States' categories (to the nearest percent)?
High category = a0 %
Medium category = a1 %
REQUIRED CHART :
The required chart has been attached
Answer:
31.8%
30.0%
Step-by-step explanation:
Required :
To obtain the Difference between Sweden and United States high and medium categories to the nearest %
Sweden :
High category = $23.51
Medium category = $15.73
United States :
High category = $34.48
Medium category = $22.46
Percentage Difference :
High category : (34.48 - 23.51) / 34.48 * 100% = 31.8%
Medium category : (22.46 - 15.73) / 22.46 * 100% = 29.96% = 30.0%
Ben has a piece of plywood that measures 1 yard on each side.He cuts the wood into 6 equal pieces.Each piece is 1/3 yard wide and 1/2 yard long.What is the area of each piece that Ben cuts?
Answer:
The area is "[tex]\bold{\frac{1}{6}}[/tex]".
Step-by-step explanation:
In this question, to understand the problem we use the model, that Begins with drawing squares from each side which is 1 yard, and divides these as defined throughout the problem. To fix the issue, using the given model, please find the attached file.
Calculating the area of the one-piece:
[tex]=\frac{1}{2} \times \frac{1}{3}\\\\=\frac{1}{2\times 3}\\\\=\frac{1}{6}\\\\[/tex]
In a random sample, 3 of 400 computer chips are defective. Based on
the sample, how many chips out of 100,000 would you expect to be
defective?
Answer:
750 of 100,000 chips would be expected to be defective.
Step-by-step explanation:
(3/400) and (?/100,000)
100,000 ÷ 400 = 250.
Multiply 250 by 3 to find the number of defective chips.
250 x 3 = 750.
Solve the following quadratic by using square root property. x2 + 16 = 0
A. X= 16 , x= -16
B x = 4, x= -4
C x= 4i , x= -4i
uh yeahhhhhhhhh you see it
Answer:
1296
Step-by-step explanation:
Answer:
what they said. jk i actually don't know if they're correct
Step-by-step explanation:
A race takes 3 hours to complete. If the
bikers were traveling at a constant speed, and
traveled 45 miles, how fast were the bikers
traveling?
Answer:
Speed is equals to distance divided by time
ie
45 ÷ 3
you get 15 miles per hour
Answer:
15 miles per hour
Step-by-step explanation:
Speed = distance travelled / time taken
= 45 / 3
=15
What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all. A coordinate plane with three trapezoids. Trapezoid A B C D has coordinates A 1 comma 1, B 2 comma 3, C 4 comma 3, and D 5 comma 1. –5–4–3–2–112345 A'( , ), B'( , ), C'( , ), D'( , )
Answer:
[tex]A" =(-1,-1)[/tex] [tex]B" =(-2,1)[/tex]
[tex]C" =(-4,1)[/tex] [tex]D" =(-5,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (1,1)[/tex] [tex]B =(2,3)[/tex]
[tex]C = (4,3)[/tex] [tex]D = (5,1)[/tex]
Required
The new coordinates after reflected across y-axis and shifted 2 units down
When a point is reflected across the y-axis, the rule is:
[tex](x,y)=>(-x,y)[/tex]
So:
[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex]
[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex]
[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex]
[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex]
When a point is translated 2 units down, the rule is:
[tex](x,y) => (x,y-2)[/tex]
So:
[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex] [tex]=> A" =(-1,-1)[/tex]
[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex] [tex]=> B" =(-2,1)[/tex]
[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex][tex]=> C" =(-4,1)[/tex]
[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex] [tex]=> D" =(-5,-1)[/tex]
So, the new coordinates are:
[tex]A" =(-1,-1)[/tex] [tex]B" =(-2,1)[/tex]
[tex]C" =(-4,1)[/tex] [tex]D" =(-5,-1)[/tex]
50 POINTS! By using shadows, Tatiana wants to find the height of a building. At a certain time of day, her shadow is 2.4 feet long and the building’s shadow is 16 feet long. Her height is 5.8 feet. How tall is the building?
What is the total surface area of this triangular prism in square centimeters
I can't see anything so I can answer you just picture it.
What is the domain of y = log5^x
all real numbers less than 0
all real numbers greater than 0
all real numbers not equal to 0
all real numbers
Answer:
The answer is all real numbers
Answer:b
Step-by-step explanation:
Maria is planting a row of flowers in a bed 103 feet long. The instructions say to space the plants 1 foot apart, allowing room for 103 flowers. The flowers come in flats containing 6 plants per flat. How many flats will she need? How many plants will she have left over?
Answer:
She will need 17 flats and will have 1 plant left over.
Step-by-step explanation:
six can go into 103 17 times, with a remainder of one.
*PLEASE ANSWER ASAP!! ILL GIVE BRAINLIEST*
If you drive 1,000 miles each month and get 18.2 MPG, how much would you spend on gas if gas was $2.75 per gallon?
a.) $151
b.) $22.55
c.) $100
The total money spent on the gas will be equal to $151. Hence, option (a) is correct.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the instructions in the question,
Driving each month = 1000 miles
Then,
1000/18.2 = 54.94
The price is $2.75 per gallon.
Then, the money spent on gas will be,
54.94 × 2.75 = $151.
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Will give brainliest if you can help me better understand this! Determine whether sine, cosine, or tangent is the best choice for finding x.
Answer: Cos, Cosine
Step-by-step explanation:
You can use SOH CAH TOA to help you find out whether you are using Sine, Cosine or Tangent.
SOH- The 'S' is for Sine, then the 'O' and the 'H' is for Opposite over Hypotenuse.
CAH- The 'C' is for Cosine, the 'A' and the 'H' is for Adjacent over Hypotenuse.
TOA- The 'T' is for Tangent, then the 'O' and the 'A' is for Opposite over Adjacent.
As you have the Adjacent (the side next to the angle you are looking for) and Hypotenuse (the side opposite the right angle), you would be using Cosine.
I haven't answered it because I read this as though you wanted the explanation. If you do want an answer just let me know then I can edit my answer.
Hope this helps :)
What is the meaning of the point with an x-coordinate of 2?
Answer:
A
Step-by-step explanation:
Because the x-coordinate is in seconds. Which eliminates answer B
Also, the Y-coordinate is measured in 40 meters per unit, this eliminates C and D.
What is x if
f(x) = -2?
Answer:
The answer is 2 or 2x
Step-by-step explanation:
Hope this helps!!
Factorise fully :
mx + my + nx + mq
Elena is making chocolates. She starts by melting a block of chocolate
shaped like a rectangular prism. Then she pours the melted chocolate
into molds shaped like rectangular prisms. How many chocolates can
Elena make with the block of chocolate?
Answer:
well tell us any measurements or any numbers that follow along with this problem.
Hi could can you please tell me the answer and tell me how you got it so I can understand this? Both 6 A and B
Answer:
you would do 16000 - 13920 and get 12080 and then dive 12080 by 16000 giving you .755 that would be how much is full and then subtract 1 and .755 to get B
What is the area of the parallelogram?
What is the mean of the data set?
Fifth Grade Jump Distance
2 0
3 2 4 6
4 0 2 4 8
5 5
6 5
2 0 = 20 inches
42
40
45
20
Answer:
42
Step-by-step explanation:
Add all the numbers 20+, 32, 34, 36, 40, 42, 44, 48, 55, 65=416
then divide by total number of digits
(Mean: The mean is the average. It is found by adding all the data values and then dividing by the number of data points.)
41.6 rounded to 42