Answers
The value of the side of the triangles are;
18. 17. 89
19. y = 9. 43, x = 5. 67
How to determine the valuesUsing the Pythagorean theorem stating that the square of the hypotenuse side is equal to the sum of the squares of the other two sides of a triangle.
From the diagram shown, we have;
21² = 11² + x²
find the squares
441 = 121 + x²
collect the like terms
x² = 320
Find the square root
x = 17. 89
To determine the value of y
sin 59 = y/11
y = 11 × 0. 8571
y = 9. 43
To determine the value of x
11² - 9. 43² = x²
x = √32.096
x = 5. 67
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Related Questions
If Planet I is 32. 6 million miles farther from the sun than Planet II, then Planet III is 26. 3 million miles farther from the sun than Planet I. When the total of the distances for these three planets from the sun is 190. 5
million miles, how far away from the sun is Planet II?
Answers
10 ft
G
Find the area.
8 ft
Remember: A = r²
A = [?] ft²
Round to the nearest
hundredth.
Use 3.14 for T.
Answers
The area of the figure composing of a rectangle and a semi-circle is 105.12 ft².
What is the area of the composite figure?The figure in the image composes of a rectangle and a semi-circle.
The area of a rectangle is expressed as;
Area = Length × Width
The area of a semi-circle is expressed as;
Area = 1/2 × πr²
First, we find the area of the rectangle.
Area = Length × Width
Plug in Length = 10ft and Width = 8ft
Area = 10ft × 8ft
Area = 80ft²
Next, find the area of the semi-circle.
Area = 1/2 × πr²
Since diameter = 8ft, radius r = diameter/2 = 8ft/2 = 4ft
Area = 1/2 × 3.14 × (4ft)²
Area = 1/2 × 3.14 × 16 ft²
Area = 25.12 ft²
Now, area of the composite figure will be:
Area of the rectangle + Area of the semi-circle.
Area = 80ft² + 25.12 ft²
Area = 105.12 ft²
Therefore, the area of the figure is 105.12 ft².
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Harold will drive 330 more miles at the same rate how long will it take care old to drive 330 miles
Answers
Assuming he drives at a speed of 60 miles per hour, it will take him 5.5 hours to drive the 330 miles.
How long does it takes him to drive the 330 miles?If Harold drives 330 more miles at the same rate of 60 miles per hour, we can use the formula:
distance = rate x time
Let t be the time in hours it takes to drive the additional 330 miles. Then we have:
330 = 60t
Solving for t, we get:
t = 330/60
t ≈ 5.5 hours
Therefore, it takes approximately 5.5 hours to drive the additional 330 miles at a rate of 60 miles per hour.
Full question "Harold will drive 330 more miles at the same rate. Assume he drives at a speed of 60 miles per hour, how long does it take to drive the 330 miles?'
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Factorise p²q-pr²-pq+r²
Answers
p²q - pq - pr² + r²
pq(p - 1) - r²(p - 1) (
(pq - r²)(p - 1)
The factorized form of the expression is:
(pq - r²)(p - 1).
HELP PLEASE ¨"half-life problem¨¨ A certain computer loses half of its value every four years. If the value of the computer after 6 years is $835, what was the initial value of the computer?
Answers
Thus, the computer was initially worth $3340 as the PC will be worth $835 after six years.
what is unitary method ?In mathematics, the unitary approach entails determining the value of a single unit in a certain circumstance and using that value to resolve other issues that are connected to it. It is a quick and efficient method for handling issues involving direct proportion, indirect proportion, and other circumstances of a same nature. In disciplines including mathematics, science, business, and engineering, the unitary technique is widely employed.
given
Let V be the computer's starting value.
The computer's value drops to V/2 after four years.
The computer's value is decreased to V/2 1/2 = V/4 after six years.
We are informed that the PC will be worth $835 after six years. When we set this equal to V/4, we obtain:
V/4 = 835
Adding 4 to both sides results in:
V = 4 × 835 = $3340
Thus, the computer was initially worth $3340 as the PC will be worth $835 after six years.
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Use the given information to prove the following theorem.
Answers
Answer: two right-angled triangle, equilateral triangle
Step-by-step explanation:
It is a combination of two right-angled triangle or it is an equilateral triangle.
Explanation:
You want to prove a point P on the perpendicular bisector of segment YZ is equidistant from Y and Z.
Statement . . . . Reason1. PX is the perpendicular bisector of YZ . . . . given
2. angles at X are right angles . . . . definition of perpendicular
3. YX = XZ . . . . definition of bisector
4. PX = PX . . . . reflexive property of congruence
5. ∆PXY ≅ ∆PXZ . . . . LL congruence theorem
6. YP ≅ ZP . . . . CPCTC
A town has a population of 12,000 and grows at 3. 5% every year. What will be the population after 7 years, to the nearest whole number?
Answers
If the population growth rate is 3.5 percent every year then the population of the town after 7 years would be 14940.
Given that population grows 3.5 percent every year.
So, the increase in population after one year
= 3.5% of 12000
= (3.5/100) × 12000
= 420
Thus the increase in population after 7 year would be,
= population increase in one year × 7
= 420×7 = 2940
Hence population of the town after 7 years = (present population + increase in population)
= 12000 + 2940
= 14940
So the population of the town after 7 years with 3.5 % growth every year would be 14490.
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Cora painted for three fifths of an hour. Her friend painted for 7 times as long. How many hours did Cora's friend paint in total? four fifths of an hour 3 hours sixteen fifteenths or three and one fifth hours twenty-one fifths or four and one fifth hours
Answers
The number of hours Cora's friend paint in total is found to be - twenty-one fifths.
Explain the term fraction of the number?The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top on the line.
The denominator is the figure that appears below the line. It shows either the overall number of identical objects in either a collection or the actual number of equal sections the entire thing is divided into.The following are examples of the types of adverbs that can be used to describe the meaning of a word. The numerator and indeed the denominator are the two main components of a fraction. These can be used to define various fraction types.Three-fifths of an hour was spent by Cora painting.
= 3/5 of hour
Her companion spent seven times as long painting.
= 7 * 3/5 of hour
= 21 /5 of hour
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with reference to one 20th-century war, compare and contrast the political repercussions for two countries.
Answers
Germany and Japan have been profound and long-lasting, these countries have developed in the years since the war.
How impacts of 20th-century war on two countries?The 20th century saw numerous wars that had a significant impact on the global political landscape. The two countries in question, let us assume, are Germany and Japan.
During World War II, these two countries were on the same side, the Axis powers, and were both defeated by the Allies.
As a result of this war, both countries experienced a range of political repercussions.
In the aftermath of the war,
both countries were occupied by Allied powers, with the United States occupying Japan and Germany being divided into four separate zones of occupation, each controlled by a different Allied power.
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please help asap im begging
Answers
Answer:
The diameter of the circle is 12 inches, which means the radius of the circle is half of the diameter, or 6 inches.
The formula for the area of a circle is:
A = πr^2
where A is the area of the circle and r is the radius.
Plugging in the value for the radius, we get:
A = π(6 in)^2
A = π(36 in^2)
A = 113.1 in^2 (rounded to one decimal place)
Therefore, the area of the circle is approximately 113.1 square inches.
At a basketball game, a team made 53 successful shots. They were a combination of 1- and 2-point shots. The team scored 90 points in all. Write and solve a system of equations to find the number of each type of shot.
Answers
Answer: the team amassed 88i points total, by shooting t two-point baskets and u 1-point free throws.
t+u = 53
total is: 2t + u = 88.
Step-by-step explanation:
hope i makes sense
midazolam 9 mg im now is ordered. the nurse has the following vial of midazolam. how many milliliters will the nurse administer? enter only the numeral (not the unit of measurement) in your answer.
Answers
1.8 ml (milliliters) the nurse will administer the vial of the Midazolam of ordered 9mg.
The formula of calculating this is D/H × Q = x
where x = Desired dose amount, D = ordered Dose amount, H = amount on hand and Q = quantity.
From the following questions we have.
9mg = order dose, 5mg = amount on hand and 1ml quantity.
x = 9/5 × 1
= 1.8 ml.
Midazolam is administered carefully .it is used for sedation and anesthesia before surgical procedure. Midazolam is a short acting drug under benzodiazepines which have sedation power, so use or administered carefully before surgical procedure.
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A company ordered 20 boxed lunches from a deli for $120.40. Each boxed lunch cost the same amount. Write an equation that represents the proportional relationship between y, the total cost of the boxed lunches, and x, the number of boxed lunches.
Answers
Answer:
Step-by-step explanation:well work it out use ur brain
Answer:
Step-by-step explanation:you need to multiply 120x40=20 your get $2,408
Which of the following explains why it is easier to reject the null hypothesis with a one-tailed test than with a two-tailed test with all the same parameters?
a. Because the standard deviation in a one-tailed test is larger than that for a two-tailed test
b. Because z-scores are calculated differently in a one-tailed test
c. Because the critical region is all on one side in a one-tailed test and needs to be split between the two tails in a two-tailed test
d. Because a two-tailed test uses a bimodal distributio
Answers
Because the critical region is all on one side in a one-tailed test and needs to be split between the two tails in a two-tailed test.
What is the difference between a one-tailed test and a two-tailed test in hypothesis testing?In a one-tailed test, the alternative hypothesis is directional and the critical region is all on one side of the distribution. In a two-tailed test, the alternative hypothesis is non-directional and the critical region is split between the two tails of the distribution.
Why is it easier to reject the null hypothesis with a one-tailed test than with a two-tailed test?It is easier to reject the null hypothesis with a one-tailed test because the critical region is all on one side of the distribution, making it more likely to observe a significant difference and reject the null hypothesis. In contrast, the critical region is split between the two tails in a two-tailed test, making it less likely to observe a significant difference and reject the null hypothesis.
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If a item is $30 and the is 20% off the regular price how much would it be
Answers
20% is 6
30-6=24
$24
Answer:
20 percent off depends on the original cost: Take the original number and divide it by 10. Double your new number. Subtract your doubled number from the original number. You have taken 20 percent off! For $30, you should have $24.
Step-by-step explanation:
Which of the following graphs is described by the function below?
[tex]y=x^{2} -6x-7[/tex]
A.) Graph A
B.) Graph B
C.) Graph C
D.) Graph D
Answers
The given function [tex]y=x^2 - 6x - 7[/tex] describes the graph A.
What is function?
In mathematics, a function is a relation between a set of inputs (the domain) and a set of possible outputs (the codomain) with the property that each input is related to exactly one output.
We can solve this Function by substituting the 0 for Y.
To find the value of x when y is equal to 0, we can substitute 0 for y in the equation and solve for x:
[tex]0 = x^2 - 6x - 7[/tex]
To solve for x, we can use the quadratic formula:
x = (-b ± [tex]\sqrt{(b^2 - 4ac)}[/tex]) / 2a
In this case, a = 1, b = -6, and c = -7. Substituting these values into the formula, we get:
x = (-(-6) ± [tex]\sqrt {((-6)^2 - 4(1)(-7)}[/tex])) / 2(1)
Simplifying:
x = (6 ± [tex]\sqrt{64}[/tex]) / 2
x = (6 ± 8) / 2
x = 7 or x = -1
Therefore, when y is equal to 0, x can be either 7 or -1.
Therefore the given function describes the graph A.
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each letter of the alphabet is written on a piece of paper and put in a hat. if a piece of paper is chosen at random, what is the probability that it will be a vowel? the number of favorable outcomes is . the number of possible outcomes is . so p(vowel)
Answers
The probability of selecting a vowel from a hat with letters of the alphabet is 5/26 or approximately 0.1923. There are 5 vowels and 26 total letters.
There are 5 vowels in the English alphabet: A, E, I, O, and U. Therefore, the number of favorable outcomes (i.e., the number of vowels in the hat) is 5.
There are a total of 26 letters in the English alphabet. Therefore, the number of possible outcomes (i.e., the number of letters in the hat) is 26.
The probability of selecting a vowel is the ratio of the number of favorable outcomes to the number of possible outcomes:
P(vowel) = number of favorable outcomes / number of possible outcomes
P(vowel) = 5 / 26
Therefore, the probability of selecting a vowel is 5/26 or approximately 0.1923 (rounded to four decimal places).
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Answer:
5
26
5/26
19
Step-by-step explanation:
Written as a simplified polynomial in standard form, what is the result when
(x+4)² is subtracted from 8?
Answers
The simplified form of the polynomial expression in standard form is: - x² - 8x - 8
How to express the polynomial in standard form?The standard form of a polynomial is usually expressed by writing the highest degree of terms first then the next degree and so on. The standard form of polynomial is given by, f(x) = aⁿxⁿ + aⁿ⁻¹xⁿ⁻¹ + aⁿ⁻²xⁿ⁻² + ... + a₁x + a₀, where x is the variable and a_i are coefficients.
The polynomial expression is given as (x+4)² is subtracted from 8. Thus, we have:
8 - (x+4)²
Expanding gives:
8 - (x² + 8x + 16)
= 8 - x² - 8x - 16
= - x² - 8x - 8
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Chanda gets a new puppy and purchases supplies that cost $52.00. The sales tax is 5.5%. What is the total cost of Chanda's purchase? (label!)
Answers
Answer:
$54.86
Step-by-step explanation:
The tax is 5.5%. Convert to decimals --> .055
Multiply .055 x 52 = $2.86 in tax
Add $2.86 + 52 = $54.86 total
Please help with these 2 problems asap !! 15 points
Answers
Answer:
11. 17
12. -16
Step-by-step explanation:
What is the volume of the prism?
in.³.
Answers
Answer:18
Step-by-step explanation:
Volume prism is equal to product of width, length and height of prism which is in this case:
[tex]V=4*2*2\frac{1}{4}=8*\frac{9}{4}=18[/tex]
a gallon of milk is approximately 4 liters. how many gallon containers of air will it take to full one cubic meter (1 m3)? select the appropriate set-up for this calculation.
Answers
A gallon of milk is approximately 4 liters. 250 gallon containers of air will it take to full one cubic meter.
The setup for calculating how many gallon containers of air it will take to fill one cubic meter is:
1 m³ × 1000 L/m³ ÷ 4 L
A gallon of milk is approximately equal to 4 liters.
1 cubic meter (1 m³) of air is equal to 1000 liters.
One cubic foot of water contains 7.48 gallons. Dividing the total number of gallons by 7.48 will get the cubic feet equivalent.
To convert liters to gallons,
divide by 4 (since 1 gallon is approximately equal to 4 liters).
The calculation for how many gallon containers of air it will take to fill one cubic meter is:
1 m³ × 1000 L/m³ ÷ 4 L = 250 gallons.
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What is the effect on the graph of the function f(x) = 2^x when f(x) is replaced with f(x − 3)? A.)translate horizontally 3 units right B.) translate vertically 3 units down C.) translate horizontally 3 units left D.) translate vertically 3 units up
Answers
Answer:
a
Step-by-step explanation:
I just did the test
Answer:
The effect on the graph of the function f(x) = 2^x when f(x) is replaced with f(x − 3) is that it translates horizontally 3 units right.
When a function is replaced with f(x - c), where c is a positive constant, the graph of the function shifts horizontally c units to the right. Similarly, if c is negative, the graph shifts horizontally c units to the left.
Therefore, replacing f(x) with f(x - 3) in the function f(x) = 2^x shifts the graph of the function horizontally by 3 units to the right.
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21 x 8 ÷ 12 as a equivalent ratio?
Answers
Answer:
There are many options, like:
14/1 or 28/2...
Step-by-step explanation:
First write the system:
(21 x 8) / 12
Then simplify the brackets:
(168) / 12
= 14
Then you can put 14 over 1 as an example of proportionality:
14/1 : (21 x 8) / 12
Or multiply it by 2, 3 etc.:
42/3 : (21 x 8) / 12.
$15,600 at 3% for 2 years
Answers
Answer:10,400
Step-by-step explanation:
I need help
Write an equation for the table below.
Answers
Answer:
5x1x5=712343x12x67=800
Step-by-step explanation:
Answer:
y = 5x
Step-by-step explanation:
y = water used (gal)
t = time (min)
y = 5x
This means for every minute, 5 gallons of water is used
What are all of the constants in the equation n + 6 = 30?
Answers
Answer:
Simple and best practice solution for n/6=30= equation. Check how easy it is, ... n-30*6=0. We add all the numbers together, and all the variables n-180=0
Find m∠AZJ using the figure below
Answers
In Linear pair, 52° is the value ∠AZJ .
What is Linear pairs?
When two lines meet at a single point, a pair of linear angles is created. If, following the junction of the two lines, the angles are next to one another, they are said to be linear. A linear pair's total angles are always equal to 180 degrees.
A pair of adjacent angles is said to be a linear pair if the total of the two angles' (measured) angles is 180°. This means that a linear pair of angles always adds up to 180°. The linear pair of 30°, for instance, is 150°; the linear pair of 70°, 110°; etc.
∠JZF or ∠HZG
Linear pairs form supplementary angles.
∠AZJ = ∠AZH - ∠HZA
= 90° - 38°
∠AZJ = 52°
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2 3/5 as an improper fraction
give your answer in its lowest terms
Answers
Answer:
13/5
Step-by-step explanation:
2*5=10
3+10=13
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathtt{2\dfrac{3}{5}}\\\\\mathtt{= \dfrac{2\times5 + 3}{5}}\\\\\mathtt{= \dfrac{10 + 3}{5}}\\\\\mathtt{= \dfrac{13}{5}}\\\\\\\huge\text{Therefore your answer should be:}\\\\\huge\boxed{\mathtt{\dfrac{13}{5}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
if all multiples of 3 and all multiples of 4 are removed from the list of whole numbers 1 through 100, then how many whole numbers are left?
Answers
Answer:
The lowest common multiple 3 and 4 is 12.
Step-by-step explanation:
The total multiples of both 3 and 4 between 1 - 100 are 100/12 = 8 4/12 i.e. 8.