Answer:
Step-by-step explanation:
0.53 is the answer to the nearest hundredth.
To calculate the cosine of ∠X in the right triangle WXY, we use the ratio of the adjacent side length (YW = 45) to the hypotenuse length (XW = 53), which results in approximately 0.85 when rounded to the nearest hundredth.
In ΔWXY, we're given that ∠Y is a right angle, meaning that the triangle is a right triangle. To find the cosine of ∠X, we can use the definition of cosine in a right triangle, which is the ratio of the adjacent side to the hypotenuse in the context of the angle we're interested in. Since ∠X is across from side YW, and XW is the hypotenuse, we'll take the length of YW as the adjacent side. The formula for the cosine of angle X then becomes:
cos(∠X) = adjacent/hypotenuse = YW / XW = 45 / 53
Calculating this value, we get cos(∠X) = 0.8490566037735849, which when rounded to the nearest hundredth is 0.85.
Find which term in the geometric sequence 1, 3, 9, 27, ... is the first to exceed 7,000.
hint (use a table)
Answer:
10th term
Step-by-step explanation:
3ⁿ⁻¹ > 7000
log₃ 7000 = 8.05
n - 1 > 8
n > 9
10th term
check: 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683
HELPPPppp MEEEEEEeeee
Find the solution(s) to the system of equations. y= x^2 -2x -3 y= x -3
Answer:
two solutions : (0,-3) , (3,0)
Step-by-step explanation:
hello :
y= x² -2x -3 ...(*)
y= x -3....(**)
x²-2x-3 = x -3
x²-3x=0
x(x-3) = 0
x=0 or x-3=0
x=0 or x=3
but : y=x-3
1) x=0 y=0-3=-3
2) x=3 y=3-3=0
two solutions : (0,-3) , (3,0)
Determine the magnitude of the sum of the two vectors: 2.5i+1.8j; -6i-0.7j
Answer:
Answer for this question would be: A, 3.67
Answer:
A. 3.67
Step-by-step explanation:
1. Add the two vectors (2.5,1.8)+(-6,-.7)=(-3.5,1.1)
2. Find the magnitude using square root of a^2+b^2
sqrt(-3.5)^2+(1.1^2)=sqrt(12.25+1.21)=sqrt(13)=3.67
A pack of 4 chocolate bars costs £1.20
What is the price per unit?
Answer:
30 cents
Step-by-step explanation:
Since 4 bars cost 1.20 pounds, divide 1.20 by 4
a rectangle field has an anrea of 40cm^2. if one side of the field is 3m longer than the other side, find the new area of the field where the length of each side is increased by 10%
The area of the field where the length of each side is increased by 10% is 48.4 [tex]cm^{2}[/tex].
Step-by-step explanation:
The given is,
A rectangle field has an area of 40 [tex]cm^{2}[/tex]
If one side of the field is 3 cm longer than the other side
The length of new area in each side is increased by 10%
Step:1
Let,
[tex]b[/tex] - One side of rectangle
[tex]l[/tex] - Other side of rectangle
From given.
[tex]l[/tex] - [tex]b[/tex] +3
Formula for area of rectangle,
[tex]Area, a = lb[/tex]
40 = ( b+3) × b
40 = [tex]b^{2}[/tex] + 3b
Solving the above the equation,
b = 5 cm
l = 8 cm
Step:2
If the area of rectangle increased by 10%,
l = 8 + ( 8 × [tex]\frac{10}{100}[/tex] )
= 8.8
b = 5 + ( 5 × [tex]\frac{10}{100}[/tex] )
= 5.5
Area of rectangle is,
a = ( 8.8 × 5.5 )
= 48.4 square centimeters
Result:
The area of the field where the length of each side is increased by 10% is 48.4 [tex]cm^{2}[/tex], if a rectangle field has an area of 40 square centimeters and one side of the field is 3 cm longer than the other side.
A discount clothing store is selling a $99 sport jacket for $11 off the regular price. What is the discount rate?
Answer:
jacket is $99 at a discount of $11 off regular price
add the discount back on to get regular price which is $99+$11=$110
$110x.10=$11
therefore the jacket is sold at a 10% discount
Step-by-step explanation:
Hi, What is 678 divided by -4 times 56xs then added 7h.
Answer:-9492xs+7h
Step-by-step explanation:if you do 678 divided by -4 it would be -169.5 then multiply that by 56 witch would be -9492 then times s would be -9492xs then that added to 7h would be -9492xs+7h and your final answer
11. Find the next 4 numbers in the pattern. 21, 24, 19, 22, 17, 20,
Answer:
The answer is 23???....?
Answer:
16,19,15,18
Step-by-step explanation:
rule=+3,-4
Given that the measure of ∠x is 60°, and the measure of ∠y is 110°, find the measure of ∠z.
Answer:
∠z = 10°Step-by-step explanation:
A triangle is always 180 degrees.
If ∠x is 60°
and ∠y is 110°,
110 + 60 = 170
∠z = 10 degrees
Answer:
50
Step-by-step explanation:
How to write 0.985 in expanded form in decimals
The expanded form of 0.985 is 0.9 + 0.08 + 0.005.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
Example: 1.2 is the decimal number, where 1 is the whole part and 0.2 is the fractional part.
Given:
The decimal number 0.985.
To find the expanded form of 0.985:
First, convert the number to fractional form.
0.985 = 985/1000
= 900/1000 + 80/1000 + 5/1000
= 0.9 + 0.08 + 0.005
0.985 = 0.9 + 0.08 + 0.005
Therefore, 0.9 + 0.08 + 0.005 is the expanded form of 0.985.
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In which month was the peak, the largest deposit, made?
A January. B June. July. D August
Answer: It was made in B June
Step-by-step explanation: The following transactions occurred in June through August 2020. June 1 After much thought, Natalie sells a mixer to Curtis on credit, terms n/30, for $1,150 (cost of mixer $620). 30 Curtis calls Natalie. He is unable to pay the amount outstanding for another month, so he signs a one-month, 8.35% note receivable. July 31 Curtis calls
Answer:
C. July
Step-by-step explanation:
It's the tallest one in the plot.
I hope this helped. B)
Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account that pays 4% intrest compounded annually. How much more money will she have at the end of 10 years if she chooses the account with compound interest?
Answer:
[tex]\$180.55[/tex]
Step-by-step explanation:
step 1
Simple interest
we know that
The simple interest formula is equal to
[tex]A=P(1+rt)[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04[/tex]
substitute in the formula above
[tex]A=2,250(1+0.04*10)[/tex]
[tex]A=2,250(1.4)[/tex]
[tex]A=\$3,150[/tex]
step 2
Interest compounded annually
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1[/tex]
substitute in the formula above
[tex]A=2,250(1+\frac{0.04}{1})^{1*10}[/tex]
[tex]A=2,250(1.04)^{10}[/tex]
[tex]A=\$3,330.55[/tex]
step 3
Find the differences between the two final amounts
[tex]A=\$3,330.55-\$3,150=\$180.55[/tex]
5. A 200 pound person weighs 33 pounds on the moon.
a. How much did the person's weight decrease?
Answer:
Step-by-step explanation:
The answer will be 167
Final answer:
The weight of a 200-pound person decreases by 167 pounds on the moon due to the weaker gravitational force. Weight varies with gravity, but mass remains constant.
Explanation:
If a 200-pound person weighs 33 pounds on the moon, the person's weight has decreased by 167 pounds. The weight decrease can be calculated by subtracting the weight on the moon from the original weight on Earth.
Weight decrease = Original weight on Earth - Weight on moon
Weight decrease = 200 pounds - 33 pounds
Weight decrease = 167 pounds
This calculation shows how weight varies with the acceleration due to gravity, which is weaker on the moon. Therefore, the gravitational force acting on a person on the moon is less, resulting in a lower weight, although the person's mass remains constant.
B to the zero power over B to the second power
Answer:
b^-2 or 1/b^2
Step-by-step explanation:
b^0
--------
b^2
We know when we divide powers of the same base, we subtract
b^(0-2)
b^-2
If we are not allowed negative exponents then
1/b^2
Mr. Lopez wrote the equation 32 g + 8 g minus 10 g = 150 on the board. Four students explained how to solve for g.
Alyssa: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.”
Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.”
Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is 10 and StartFraction 5 Over 7 EndFraction.”
Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.”
Which student’s work is correct?
Alyssa
Rahul
Toni
Wilhem
Answer:
Option D.
Step-by-step explanation:
The given equation is
[tex]32g+8g-10g=150[/tex]
It can be written as
[tex](32+8-10)g=150[/tex]
To solve this equation, add 32 and 8.
[tex](40-10)g=150[/tex]
Subtract 10 from 40.
[tex]30g=150[/tex]
Divide both sides by 30.
[tex]\dfrac{30g}{30}=\dfrac{150}{30}[/tex]
[tex]g=5[/tex]
The value of g is 5 and wilhem is correct.
Therefore, the correct option is D.
Answer:
The correct answer is d. wilhem
(will give brainlesit if correct )
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 96 miles due north of the warehouse.
A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled?
156
192
216
252
Answer:
its 176, the warehouse is 88 miles from the airport and the factory
Step-by-step explanation:
Which expression represents 22 more than the difference between 95 and 63
A. (22+95)
B. 22+(95+63)
C. (95-63)+22
Answer:
C
Step-by-step explanation:
Difference: 95 - 63
22 more: (95 - 63) + 22
Answer:
C. (95-63)+22
Step-by-step explanation:
difference means subtraction
95-63
more than means add after
(95-63) +22
Can you get this question answered please
The graph shows a linear relationship between the
height and years of a plant's growth. Find the rate of
change. Select all that apply.
The rate of change of a linear function is always the
same.
Height (in)
The rate of change of a linear function increases as
the input increases.
The rate of change from 2 years to 4 years on the
graph is 1.5 inches per year.
L! The rate of change from 0 years to 6 years on the
graph is 1.5 inches per year.
8
Time (yrs)
Answer:
a, c, d
Step-by-step explanation:
Answer:
The rate of change from 2 years to 4 years on the graph is 1.5 inches per year & The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.
Step-by-step explanation:
At a New Car Dealership a particular model comes in 4 trims levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
Answer:
60 different versions
Step-by-step explanation:
4 times 5 times 3 is 60.
The number of different versions of this car model that can be created from these options is 60.
Number of different versions:Using this formula
Number of different versions=Trims levels×Different colors×Different Interior
Where:
Trims levels=4
Different colors=5
Different Interior=3
Let plug in the formula
Number of different versions=4×5×3
Number of different versions=60
Inconclusion the number of different versions of this car model that can be created from these options is 60.
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I'LL GIVE BRAINLIEST, NEED HELP.
Create a proportion that can be used to solve the following scenario. Solve your proportion and show your work.
As the Space Station orbits around the Earth, it travels about 75 miles in 15 seconds. At that speed, how far would it travel in 12 minutes?
Answer:
3600 miles
Step-by-step explanation:
75mi/15 seconds is our proportion
there are 60 seconds in 1 minute. 60/15 = 4
there are 12 minutes. 12X 4 = 48
we need to multiply 75 mi by 48 to find our distance
75 X 48 = 3600
You have a package of 20 assorted thank-you cards. You pick the four cards shown. How many of the 20 cards would you expect to have flowers on them?
what is shows in the picture:
2 with thank you's then one with flowers that says thank you than on with a dragon fly that says thank you for you kindness
this is the question: You would expect ___cards to have flowers on them.
Out of 20 there are 5 cards which have flowers on them.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have total 20 thank-you cards.
Now, we choose four cards.
Out of 4 cards 2 with thank you then one with flowers that says thank you than on with a dragon fly
So, We choose pair of 4 cards 5 times.
Then, we get total cards with flower
= 1 x 5
= 5
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The length of a rectangle is four times the width. The
perimeter of the rectangle is 40 inches. What is the area of
the rectangle (in square inches)?
Answer:
Step-by-step explanation:
let the width=x
length=4x
P=2(l+w)=2(4x+x)=10x
10x=40
x=40/10=4
width=4 in
length=4×4=16 in
area=16×4=64 square inches.
The required area of the given rectangle is given as 64 inch².
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
As mentioned in the question,
The length of a rectangle is four times the width.
l = 4w
Now,
The perimeter of the rectangle is 40 inches.
2 [l + w] = 40
2 [4w + w] = 40
5w = 20
w = 4 inches
Length,
l = 4(4) = 16 inches
Area of rectangle = l × w
= 16 × 4 = 64 inch²
Thus, the required area of the given rectangle is given as 64 inch².
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What is the slope if the line graphed below? Type answer as fraction. Rise divided by run or whole number if can be reduce.
Answer:
3/5
Step-by-step explanation:
3 up and 5 over from point to point
Answer:
3/5
Rise=3
Run=5
Step-by-step explanation:
For this question it makes it easy because they have provided you with Lines labeled Rise and Run. All you need to do now is Count the rise and run.
For Rise over run if you go up as a rise it's a positive number...But if you go down its a Negative number same with Run.... If it runs to the right its positive and if it runs to the left its negative.
For Rise it goes up...1,2,3 Spaces so Rise is 3
For run it moves to the Right 1,2,3,4,5 spaces so Run is 5
3/5 cant be reduce so it stays as a fraction.
the salesman claims that the new machine can produce more items in an 8-hour workday than the old machine is the salesmans claim true
Answer:
No
Step-by-step explanation:
the salesman's claim is false because the new machine only makes 20 items an hour and the old one makes 25. So in 8 hours the new machine will only make 160 items and the old one will make 200
what is the y intercept of f(x)=2x^2+8x+6
Answer:
6 is the y intercept
Step-by-step explanation:
0.4x=18=-13 what is x?
Answer:
x = 77.5
Step-by-step explanation:
Assuming that you meant:
0.4x+18 = -13
Subtract 18 on both sides:
0.4x = -31
Multiple by 5/2 on both sides
x = 77.5
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Avery received $80 in cash for mowing lawns. She did the following with the $80. Put 20% of the $80 into a bank account. Spent 1/4 of the $80. Kept the rest of the $80 in cash. How much of the $80 did Avery keep as cash?
Answer:
$48
Step-by-step explanation:
To start off, we know that Avery put 20% of the $80 in her bank account. We can figure out how much 20% of 80 is by multiplying 80 by 20% and then subtracting that number from 80. Remember to switch 20% to its decimal form (20% -> .2).
Step 1) 80 x .2 = 16
Step 2) 80 - 16 = 64
Next, we have to figure out how much 1/4 of the remaining $64 would be. We just simply divide 64 by 4 to figure out how much Avery spent.
Step 3) 64 / 4 = 16
Lastly, since we know Avery spent 16 dollars, we can subtract the 16 from 64 to get our final answer.
Step 4) 64 - 16 = 48
Avery kept $44 of the $80 as cash after putting 20% into a bank account and spending 1/4 of it.
Avery received $80 in cash for mowing lawns. Let's calculate how much she kept after her transactions. First, she put 20% of the $80 into her bank account. Calculating 20% of $80 involves multiplying $80 by 0.20, resulting in $16. Next, Avery spent 1/4 of the $80, which equals $20, as $80 divided by 4 gives $20. To find the amount Avery kept as cash, we subtract the amounts she put in her bank and spent from the original $80.
$80 - $16 - $20 = $44
Therefore, Avery kept $44 of the $80 as cash.
A circular plate has circumference 16.3 inches. What is the area of this plate? Use 3.14 for pi.
The area of this plate is about " blank" square inches
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest thousandth as needed.)
Plz answer will give brainiest to the person who answers this plz help!!!!!!!
Answer:
The area of this plate is about 21 in².
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Geometry
Circumference Formula: C = 2πr
r is radiusArea of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify given.
C = 16.3 in
Step 2: Find Radius r
[Circumference Formula] Substitute in C:Step 3: Find Area
[Area of a Circle Formula] Substitute in r:∴ we have found the area of the plate.
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Topic: Geometry