Answer:
B: 4 inches
Step-by-step explanation:
I got it right on usatestprep!
Hope this helps!
From: Aug1e
In ΔFGH, the measure of ∠H=90°, GF = 41, HG = 40, and FH = 9. What ratio represents the cosine of ∠F?
Answer:
9/41
Step-by-step explanation:
Cosine = adjacent/hypotenuse
The value of the ratio which represents the cosine of ∠G is, cos G = 40/41
We have to give that;
In ΔFGH, the measure of ∠H=90°, HG = 56, FH = 33, and GF = 65.
Now, By the formula;
⇒ cos θ = Base / Hypotenuse
Hence, We get;
⇒ cos G = GH / GF
⇒ cos G = 40/41
Therefore, the value of ratio which represents the cosine of ∠G is,
⇒ cos G = 40/41
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An employee has a starting salary of $20,000 and can choose from two salary options:
Option 1: A salary increase by 5% each year.
Option 2: A guaranteed increase of $1,000 each year.
i. Which option is initially more beneficial?
ii. Which option is more beneficial after 10 years of employment?
iii. Explain your reasoning
Initially, both salary options provide the same increase, but after two years Option 1 becomes more beneficial due to compounding. After 10 years, the 5% annual increase of Option 1 provides a higher salary than the flat rate increase of Option 2.
Explanation:The salary options present themselves differently over time. Initially, Option 2, the guaranteed increase of $1,000 each year, is more beneficial. In the first year, a 5% increase on a $20,000 salary (Option 1) is only $1,000 - the same as Option 2. However, in the second year, the 5% increase is applied to the new salary of $21,000 (in Option 1), which gives an increase of $1,050 - thus, it surpasses Option 2.
After 10 years, Option 1 will be more beneficial. The reason lies in the principles of compounding; each year, the 5% increase is applied to the increased salary. Thus, in 10 years' time, the amount gained annually in Option 1 significantly surpasses the static $1,000 per year increase of Option 2.
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True or false: opposite angles of a square are supplementary angles
Answer:
True
Step-by-step explanation:
Supplementary angles are those that sum up to 180 degrees. A square is a polygon with all its angles measuring 90 degrees. This means that opposite angles are both 90 degrees. And, since 90 + 90 = 180, that means that a square's opposite angles are supplementary.
Hope this helps!
Answer:
True
Step-by-step explanation:
Supplementary angles add up to 180
All angles in a square are 90.
Opposite angles add up to 180°
What is the graph to the piecewise defined function g(x) = { x+4, -5<=x<=-1
2-x, -1<=x<=5?
Answer:
third graph, see attached in case the order changes
Step-by-step explanation:
g(x) = { x+4, -5<=x<=-1
2-x, -1<=x<=5
The graph will change at -1, so we can eliminate the first graph
It changes completely so we can eliminate the second graph
From -5 to -1 the slope is positive 1 so it will increase from left to right
The last graph decreases, so it has a negative slope at -5. We can eliminate the last graph
That leaves us the third graph
g(x) = x+4, -5《x《-1
At x = -5, g(x) = -1
At x = -1, g(x) = 3
g(x) = 2-x, -1《x《5
At x = -1, g(x) = 3
At x = 5, g(x) = -3
what is 527.79 rounded to the nearest thousandth?
I looked it up and it said it was just 527.79, but when i put my answer in it said it was wrong so im really confused.
527.79
there is no because just round and try this I think it might work i dont know
5. Find the area of a regular octagon with a radius of 12 ft. Round your answer to the nearest tenth, if
necessary
Solve for j . −1/3=/j4−10/3
Answer:
j = 12
Step-by-step explanation:
Solve for j by simplifying both sides of the equation, then isolating the variable.
From a standard deck of 52 cards, what is the probability of picking a 6 at random from the deck?
Answer:
Only 4 out of 52 cards are 6.
4/52 = 1/13
Probability is 4/13
Answer:
4/52 or 1/13
Step-by-step explanation:
There are 4 of each card in a deck except for Jokers. Therefore, the answer is 4/52 or 1/13
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How many solutions does the system have?
5x — y = 2
5x—y = -2
Answer: no solution
Step-by-step explanation:
e price of an item yesterday was 130. Today, the price rose to 221. Find the percentage increase
Answer:
70
Step-by-step explanation:
The explanation is in the picture
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The area of the polygon is 48 mi2. What is the length of side a? miles
To find the Length of Polygon Sides ('a') of a square polygon with an area of 48 mi², we apply the formula a = √Area. This gives a = √48 miles. This formula applies specifically to squares.
Given the area of the polygon is 48 square miles, to find the length of a side, we would first need to know the type of polygon.
For instance, if it's a square, the area is calculated by squaring one of its sides (Area = side²).
Here, to find the side length ('a'), we take the square root of the area. So, a = √Area.
Applying this to the given area, a = √48 miles.
However, please note that this formula is for a square.
Other polygons have different formulas for calculating such dimensions.
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If x = 10, what is the value of 5(x - 3)?
A. 7
B. 47
C. 35
D. 65
Look at the attached picture⤴
Hope it will help u..
The savings rate for two students is shown.
Fill in the blanks to correctly compare the two students account
Anna opens her savings account with $_______ less than Alec used to open his account. Anna adds $_______ more per week to her account than Alec adds to his.
Answer:
2 less
3 more
Step-by-step explanation:
brainliest please
Anna opens her savings account with 'Y' dollars less than Alec's initial account amount, and she adds 'W' dollars more to her account each week compared to Alec.
Explanation:Given that we want to compare the savings accounts of two students, Anna and Alec, let's assume that Alec opens his savings account with 'X' amount of dollars, and Anna opens hers with 'Y' amounts less than Alec, making her initial amount 'X-Y' dollars. Additionally, if Alec adds 'Z' dollars per week to his account, but Anna adds 'W' dollars more than Alec each week, Anna would be adding 'Z+W' dollars to her account weekly.
So, to fill in the blanks, you could say: Anna opens her savings account with 'Y' less than Alec used to open his account. Anna adds 'W' more per week to her account than Alec adds to his. By comparing this way, we can look at the differences in both the initial investment and the weekly contributions for each of the students' savings accounts.
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What is the product of 3x(x2 + 4)?
O x² + 3x +4
O 3x3 + 4
O 3x3 + 12x
3x² + 12x
Answer:
3x³ + 12x
Step-by-step explanation:
Given
3x(x² + 4) ← multiply each term in the parenthesis by 3x
= 3x³ + 12x
Answer:
3x^3 +12x
Step-by-step explanation:
3x^3 +12x
The coffee shop where Juana works makes a profit of $312.50 for every 250 hot chocolates sold. How much
profit do they make on each hot chocolate sold?
The coffee shop makes a profit of on each hot chocolate sold. I know this because
Step-by-step explanation:
you have to first add and then divide with the percent you would need now try that
Answer:
1.25
Step-by-step explanati
312,50÷ 250
Solve the system of equations algebraically.
*If necessary, write your answers as fractions in simplest form.
y = x + 2
y = -3x
Answer:
Step-by-step explanation:
y = x + 2 -------------(i)
y = -3x ----------------(ii)
substitute y = -3x i equation (i)
-3x = x + 2
-3x -x = 2
-4x = 2
x = 2/-4
x = -1/2
Substitute x = -1/2 in (ii)
y = -3 * -1/2
y = 3/2
A cereal company is putting 1 of 3 prizes in each box of cereal. The prizes are evenly distributed so the
probability of winning any given prize is always 1/3
Mohamed wonders how many boxes he should expect to buy to get all 3 prizes. He carried out 24 trials of
a simulation and his results are shown below. Each dot represents how many boxes it took to get all 3
prizes in that trial.
3
4 5
6
7 8
9 10 11 12
# of boxes purchased
Use his results to estimate the probability that it takes more than 3 boxes to get all 3 prizes
Give your answer as either a fraction or a decimal
P(more than 3 boxes) C
Answer:
0.625
Explanation:
The image below was not posted for the but is needed to anser the question.
Further Explanation:
Mohamed carried out 24 trials of a simulation
Therefore, Total frequencies = 24
To get number of frequency greater than 3 we have to use the result in the result in the graph to obtain the estimate. Look at the graph below, when you count the dots that are on number of boxes purchased greater than 3, you will get 15.
Therefore, Number of frequency greater than 3 = 15
P(more than 3 boxes) = 15/24 = 0.625
M is the centroid of the triangle.
CM=7, PM=10, & BQ=18
BM=[? ]
Answer:
The length of the BM is 6 unit.
Step-by-step explanation:
Given : M is the centroid of the triangle. CM=7, PM=10, & BQ=18
To find : The value of BM ?
Solution :
Refer the attached figure below.
The centroid of a triangle is the point of intersection of its medians.
M is the centroid and the centroid divide the line in 1:2 ratio.
So, M divide BQ in 1:2 ratio and the total length of BQ is 18.
BM is one third of 18.
i.e. [tex]BM=\frac{18}{3}[/tex]
[tex]BM=6[/tex]
Therefore, the length of the BM is 6 unit.
Answer: BM=6
Step-by-step explanation:
What is the area of this composite figure?
A figure is comprised of 2 rectangles. The rectangles are 10 feet by 6 feet, and 10 feet by 4 feet.
A. 12 feet squared
B. 80 feet squared
C. 88 feet squared
D. 100 feet squared
Answer:
The answer would be 88 ft squared
Step-by-step explanation:
If you make the shape into a rectangle it would be 100 and then subtract the amount that isn't filled in it would be 88.
The required area of the composite figure is 100 feet squared. The correct answer is option D.
What is surface area?
The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
To find the area of the composite figure, we need to add up the areas of the two rectangles.
The first rectangle has dimensions of 10 feet by 6 feet, so its area is:
10 ft × 6 ft = 60 ft²
The second rectangle has dimensions of 10 feet by 4 feet, so its area is:
10 ft × 4 ft = 40 ft²
The total area of the composite figure is:
60 ft² + 40 ft^2 = 100 ft²
Thus, the area of the composite figure is 100 feet squared. The correct answer is option D.
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Consider U = {x\x is a positive integer greater than 1}.
Which is an empty set?
{xx € U and 2x is prime}
{xlx EU and 2x is prime}
{XX € U and 1/2x can be written as a fraction}
{x|x € U and 2x can be written as a fraction}
Considering U = {x l x is a positive integer greater than 1} the empty set will be,
⇒ { X ∈ U and 2x is prime}
What are prime numbers?Prime numbers refers to a whole number more than 1 whose only factors are 1 and itself.
Now, A whole number that may be split evenly into another number by multiplication is referred to as a factor.
2, 3, 5, 7, 11, 13, 17, 19, 23 and 29 are the first few prime numbers.
Here, The number 2 is the only prime even number and hence no other prime number will be fall as an even number or a product from multiplication by 2.
Hence, Considering U = {x l x is a positive integer greater than 1} the empty set will be,
⇒ { X ∈ U and 2x is prime}
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A large box contains buttons with pictures of animals.
There are four different animals. A button is drawn and replaced. In 100 trials, 35 buttons with cats were drawn.
What is the probability that the next button will be a different animal?
A.
The experimental probability is 35%.
B.
The experimental probability is 65%.
C.
The theoretical probability is 35%.
D.
The theoretical probability is 65%.
Answer: its B
Step-by-step explanation:
You have to subtract 100 and 35. You get 65. Its also a experimental probability.
What is the exact solution to the system of equation shown on the graph?
The exact solution of the equation graphed is i option D
(-1 1/5, 4 5/6)
How to find the solution
The solution of linear equations grapes is the point of intersection of the two straight lines
This point is traced as follows
x coordinate is closer to -1 than it is to 2. Not up to -1 1/2y - coordinate is closer to 5. more than 4.5Comparing with the given options, we have (-1 1/5, 4 5/6) as the best choice
Explain how to add fractions with the same denominator. Use
3/8 + 2/8 as an example. Use the words numerator and
denominator in your response.
Step-by-step explanation:
To add fractions with the same demonator for example 3/8 + 2/8 you would add 3 +2 = 5 The numerator would be 5 and the demonator would stay the same. You would get an answer of 5/8
Answer:
Step-by-step explanation:
[tex]\frac{3}{8}+\frac{2}{8}=\frac{3+2}{8}\\\\=\frac{5}{8}[/tex]
If two fractions have same denominator, add the numerator and write the common denominator.
Divide.
4.8 ÷ 10,000
Enter your answer as a decimal in the box.
The solution to 4.8 divided by 10,000 is 0.00048.
In Mathematics and Euclidean Geometry, an expression refers to a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).
Based on the information provided above, we have the following mathematical expression;
4.8 ÷ 10,000
By rewriting in scientific notation form, we have:
[tex]4.8 \div 10^4[/tex]
By evaluating based on the exponent of 4, we have;
[tex]4.8 \times \frac{1}{10^4} \\\\4.8 \times 10^{-4}[/tex]
By rewriting as a decimal, we have:
0.00048.
Find the value of the expression.
X – (4 – y)
for x = 3 and y = 3
Answer:
2
Step-by-step explanation:
3-(4-3)=2
Which type of transformation would move figure 1 onto
figure 2?
translation
reflection,
rotation
dilation
Answer:
reflection
Step-by-step explanation:
skraight up homie.
The type of transformation would move figure 1 onto figure 2 is Dilation.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
As, from the figures
Figures 1 and 2 can be properly observed to reveal that they have similar shapes to one another.
Accordingly, figure 1 is a bigger version of figure 2, and vice versa.
As a result, dilation and specifically enlargement is the transformation employed to convert figure 2 to figure 1.
Hence, the transformation is Dilation.
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What is the value of u? (Geometry problem)
Answer:
U = 71 degrees
Step-by-step explanation:
First you should set up an equation:
180 = b + (b - 19) + (180 - (b + 45))
Since there are 180 degrees in a triangle, set the sum of the angles equal to 180. And, since (u) and (b + 45) are supplementary angles that add up to 180, you can substitute (180 - (b + 45)) for (u).
Then, solve for (b):
180 = b + b - 19 + 180 - b - 45
180 = b + 116
64 = b
Find (b + 45):
64 + 45 = 109
Solve for (u):
180 - 109 = 71
u = 71
Please match the answer to the question.
Question 3 options:
-5
-8
+4
+5
+8
1.
profit of $5
2.
depth of 8ft
3.
increase of 8 degrees F
4.
loss of $5
5.
height of 4ft
Answer:
see below
Step-by-step explanation:
1. profit of 5 means a gain of 5 +5
2 depth of 8ft means down 8 -8
3 increase of 8 degrees means a gain of 8 +8
4 loss of 5 dollars means negative -5
5 height of 4 ft means we go up +4
I need feedback please. I don’t know how to solve this.
Answer:
79/9 * pi
Step-by-step explanation:
First find the circumference of the entire circle
C = 2 pi r
C = 2* pi* 5
C = 10 pi
The degree of MPN is 360 - 44 = 316
The fraction of the circle is 316/360 =79/90
Multiply that by the total circumference
79/90 * 10 pi
79/9 * pi
Answer:
s = 11π/9 units
Step-by-step explanation:
The arc length formula is s = rФ, where Ф is the central angle in radians.
Here the central angle is given as 44° and must be converted to radians:
44° π
------ * ----- = 11π/45 radians
1 180°
The length of arc MAN (not MPN) is s = (5 units)(11π/45 radians), or
s = 11π/9 units
HELP HElp help HELp HElp please fast give 10 points
Answer:
y = 2x + 3
Step-by-step explanation:
its quizzizz you need fast