In triangle EFG, the right angle is at F. Using the Pythagorean theorem, we can find the length of the hypotenuse and use it to calculate the trigonometric ratios.
Explanation:In triangle EFG, the right angle is at F. Given that EG = 8 and FG = 2, we can use the Pythagorean theorem to find the length of EF. Using the formula a^2 + b^2 = c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse, we can calculate that EF = sqrt((EG^2) + (FG^2)) = sqrt((8^2) + (2^2)) = sqrt(64 + 4) = sqrt(68).
To find tan E, we can use the ratio of the opposite side (FG) to the adjacent side (EG). tan E = FG/EG = 2/8 = 1/4.
To find sin G, we can use the ratio of the opposite side (FG) to the hypotenuse (EF). sin G = FG/EF = 2/sqrt(68).
To find sec G, we can use the ratio of the hypotenuse (EF) to the adjacent side (EG). sec G = EF/EG = sqrt(68)/8.
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You roll a number cube one time. What is the probability that you roll a 3 or 5? Enter your answer as a fraction in simplest form.
Answer:
2/6 = 1/3
Step-by-step explanation:
you have a six sided dice. 2 numbers over the entire dice numbers so that would be, 2/6 which simplifies to 1/3
Have a great day!
The probability of rolling either a 3 or a 5 on a single roll of a fair six-sided die is 1/3.
Explanation:To calculate the probability of rolling either a 3 or a 5 with a single roll of a six-sided die, we need to consider that there are 6 possible outcomes (the numbers 1 through 6). Since each face has an equal chance of landing face up, each single number has a probability of 1/6. When calculating the probability of rolling a 3 or a 5, we add the probabilities of these two separate events together because they are mutually exclusive outcomes.
The probability of rolling a 3 is 1/6, and the probability of rolling a 5 is also 1/6. Thus, the probability of rolling either a 3 or a 5 is given by:
(Probability of rolling a 3) + (Probability of rolling a 5) = 1/6 + 1/6 = 2/6
After simplification, the probability in its simplest form is:
1/3
John is 35 years old, and makes $30,000 per year. If he were to die, how much
would the beneficiaries of his life insurance policy receive if they can get by
on 75% of his income?
Current Gross Earnings
$ 7.500
9,000
15,000
23,500
30,000
40,000
65,000
MULTIPLES-OF-SALARY CHART
Current Age
25 Years 35 Years 45 Years
75% 60% 75% 60% 75% 60%
4.0 3.0 - 5.
5 4 .0 7.5 5.5
4.0 3.0* 5.5 4.0 7.5 5.5
4.5 3.0 6.5 4.5 8.0 6.0
6.5 4.5 8.0 5.5 8.5 6.5
7.5 50 8.0 6.0 8.5 6.5
7.5 5.0 8.0 6.0 8.0 6.0
7.5 55 7.5 6.0 7.5 6.0
55 Years
75% 60%
6.5 4.5
6.5 4.5
7.0 5.5
7.5 5.5
7.0 5.5
7.0 5.5
6.5 5.0
A. $188,000
B. $240,000
C. $140,000
D. $150,000
Answer:
240,000
Step-by-step explanati
Answer:
240000
Step-by-step explanation:
On Nathan's favorite TV show, players compete to see who can run through an obstacle
course the fastest. Some players fall into a big tank of water that is shaped like a cube. The
tank measures 8 yards on each side. What is the volume of the tank?
cubic yards?
Answer:
The answer would be 512 cubic yards
Step-by-step explanation:
When you have the area of one of the sides, you can multiply it by 8 because it is a cube and that would give you 512. hope this helps :)
Answer:
i don't know and i need coins or point
The fictitious state of Aribraska has a graduated state income tax.
Residents pay 3% on the first $15,000 of income.
The next $25,000 earned is taxed at a rate of 5%.
Any money earned above $40,000 is taxed at 7%.
The income tax for Aribraska is modeled by a piecewise defined function.
Over which part of the domain is the piecewise function defined as
f(x) = 0.05x – 300?
An Aribraska resident who earns $32,000 would owe how much in tases?
$1,300
$1,600
$1,740
Answer:
$1300
Step-by-step explanation:
The piecewise function is defined as f(x) = 0.05x - 300 over the income range of $15,000 to $40,000. An Aribraska resident who earns $32,000 would owe $1,600 in taxes.
Explanation:The piecewise function is defined as f(x) = 0.05x - 300 over the part of the domain where the income is between $15,000 and $40,000. This is because the tax rate of 5% is being applied to the income in this range. For any income above $40,000, the tax rate is 7%, so the function would not be equal to 0.05x - 300.
To calculate the amount of taxes owed by an Aribraska resident who earns $32,000, we need to determine the income range that applies to this amount. Since $32,000 is within the range of $15,000 to $40,000, we can use the piecewise function to calculate the taxes:
f(32,000) = 0.05(32,000) - 300 = 1,600
Therefore, an Aribraska resident who earns $32,000 would owe $1,600 in taxes.
► 00:00
What is a logical mathematical argument in which every statement of fact is supported by a reason?
?
Answer:
Proof
Step-by-step explanation:
PROOF can be said to be logical mathematical argument in which every statement of fact is supported by a reason
due to the fact mathematical proof is an inferential argument for a mathematical statement because it help to shows that the assumptions stated logically guarantee and enables the conclusion.
Therefore Proofs can be said to be an examples of exhaustive deductive reasoning because they tend to often establish logical certainty which can be differentiated from empirical arguments which inturn help to establish reasonable and effectively expectation as well as employ logic expressed in mathematical symbols which is why proofs are often written in terms of rigorous informal logic
Answer:
Proof
Step-by-step explanation:
A 3" × 5" rectangle is dilated by a scale factor of 2. what will its new perimeter be?
Answer:
6" × 10"
Step-by-step explanation:
Because the dilation is a whole number we know the rectangle will be enlarging, and we are told this is by two. So you will take and multiply the dimensions by two.
(2 × 3") × (2 × 5")
Hope this helps :) Please mark brainliest if you see fit :)
The perimeter of a regular pentagon is 17.5 inches. What is the length of each side? 3.5 in. 4 in. 5.8 in. 87.5 in.
Answer:
3.5 in.
Step-by-step explanation:
17.5 ÷ 5 = 3.5
The requried length of each side of the pentagon is 3.5 inches.
What is the perimeter of the Pentagon?The perimeter of the pentagon is the measure of its circumference i.e. the sum of its 5 sides.
Here,
A regular pentagon has five equal sides. To find the length of each side of the pentagon, we need to divide the perimeter by 5.
Length of each side = Perimeter/5
Length of each side = 17.5 inches / 5
Length of each side = 3.5 inches
Therefore, the length of each side of the pentagon is 3.5 inches.
So the answer is 3.5 in.
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When Samantha was 10 years old, Luis was 15 years old. When Samantha was 13 years old, Luis was 18 years old. When Samantha was 17 years old, Luis was 22 years old. How old is Luis when Samantha is 34 years old?
Answer:
39
Step-by-step explanation:
BRAINLIEST!!! ANSWER WITH EXPLANATION! ASAP
Answer: 20 is the answer
The expression c(16x + 14) is equivalent to 32x + d.
What are the values of c and d?
How do you solve it?
Answer:
c = 2
d = 28
Step-by-step explanation:
Please see the attached file for explanation
In a box full of fruits there are oranges, apples, and pears in the ratio of 2:5:6. What is the total weight of the fruits in the box if it is known that there are 4.8 lbs of oranges in the box?
Answer:
31.2
Step-by-step explanation:
Ratio shows us the number of times a number contains another number. The weight of the fruit box is 31.2 lbs.
What is Ratio?A ratio shows us the number of times a number contains another number.
As it is given the ratio of the fruits oranges, apples, and pears is 2:5:6. And the weight of the oranges in the box is 4.8 lbs.
Let's assume that the weight of the oranges, apples, and pears is 2x, 5x, and 6x respectively.
Now, as the weight of the oranges is 4.8 lbs, therefore,
The weight of the oranges, 2x = 4.8 lbs
x = 2.4 lbs
Now, as we know the value of x, therefore, the weight of the fruit box is,
[tex]\begin{aligned}\text{Total weight of the fruit box} &= 2x + 5x+ 6x \\&=13x \end{aligned}[/tex]
Now, substitute the value of x, therefore, we can write it as,
[tex]=13x\\\\= 13(2.4)\\\\= 31.2\rm\ lbs[/tex]
Hence, the weight of the fruit box is 31.2 lbs.
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How many integers are there between -8 and 2?
Group of answer choices
Answer:
Step-by-step explanation:
{-7,-6,-5,-4,-3,-2,-1,0,1 }
9 numbers between -8 and 2.
A shoe store donated a percent of every sale to hospitals.The total sales were $7,150 so the store donated $286.What percent of $7,150 was donate to the hospitals
Final answer:
To find the percent of sales donated to hospitals, divide the amount donated ($286) by the total sales ($7,150) and multiply by 100, resulting in 4%.
Explanation:
The question asks to calculate what percent of the total sales was donated to the hospitals by the shoe store. To find this, we use the basic formula for calculating percent: part over total, times one hundred, equals percent. In this case, the part is the amount donated ($286) and the total is the total sales ($7,150).
So, the calculation would be: (286 / 7,150) x 100 = 4%. Thus, the shoe store donated 4% of its total sales to hospitals.
Sari is factoring the polynomial 2x2 +5x+3. If one factor is (x+1), what is the other factor?
0 2X-3
2x+3
3x-2
ard
3x+2
s Notebo..
8-19-
TER 2:
12-20,
01-07
Answer:
2x + 3
Step-by-step explanation:
Given
2x² + 5x + 3
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 3 = 6 and sum = 2 + 3 = 5
The factors are 2 and 3
Use these factors to split the x- term
2x² + 2x + 3x + 3 ( factor the first/second and third/fourth terms )
= 2x(x + 1) + 3(x + 1) ← factor out (x + 1) from each term
= (x + 1)(2x + 3) ← in factored form
Thus the other factor is (2x + 3)
Answer:
2x+3
Step-by-step explanation:
It's B on edg
You deposit 1600 in a bank Find the balance after 3 years if the account pays 4%annual interest yearly.
Answer:
192
Step-by-step explanation:
The balance in a bank account after 3 years with an initial deposit of $1600 and an annual interest rate of 4% is calculated using the simple interest formula. The result is a balance of $1792 after adding the interest earned to the principal amount.
Explanation:The question involves finding the balance in a bank account after 3 years with an initial deposit of $1600 and an annual interest rate of 4%. This is a mathematics problem that involves the concept of simple interest.
To calculate the balance after 3 years, we can use the formula for simple interest:
Balance = Principal + (Principal × Rate × Time)
Where:
Principal is the initial amount deposited ($1600)Rate is the annual interest rate (4% or 0.04 as a decimal)Time is the number of years the money is invested (3 years)Using this information, the calculation is as follows:
Balance = $1600 + ($1600 × 0.04 × 3)
Balance = $1600 + $192
Balance = $1792
Therefore, after 3 years, the balance in the bank account would be $1792.
I need help plz it is for khan academy
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 1)
m = [tex]\frac{1-0}{0+1}[/tex] = 1
To convert 67.9 decimeters to millimeters,
multiply 67.9 by 10.
multiply 67.9 by 10^2.
divide 67.9 by 10^2.
divide 67.9 by 10.
Answer is B
Answer:
Option b
Step-by-step explanation:
To convert decimeters to millimeters you have to multiply it by 100 also know as 10 by the power of 2.
Answer: it option b on the exam hope this helps
Step-by-step explanation:
A new savings account is opened with $400 and gains 3% every year. What is the
exponential function?
To model the growth of a savings account with an exponential function, we will use the formula to calculate the amount of money, A(t), accumulated after a certain number of years, t, given an initial principal amount, P, and an annual interest rate, r.
The standard formula for exponential growth in the context of compound interest is as follows:
\[ A(t) = P (1 + r)^t \]
where:
- \( A(t) \) represents the amount of money in the savings account after \( t \) years.
- \( P \) is the principal amount initially deposited into the account.
- \( r \) is the annual interest rate (expressed as a decimal).
- \( t \) represents the time in years.
For your savings account, you start with $400 (the principal amount, \( P \)), and it gains 3% interest every year (the annual interest rate, \( r \)).
Let's assign the given values to their respective variables in the formula:
- \( P = \$400 \)
- \( r = 3\% = 0.03 \) (since 3% as a decimal is 0.03)
Inserting these values into the formula yields the specific exponential function for this savings account:
\[ A(t) = \$400 (1 + 0.03)^t \]
This equation represents the amount of money that will be in the savings account after any number of years, \( t \), based on the continuous application of a 3% annual interest rate.
Angles M and P are complementary.
If angle M=(3x-45) degrees and Angle P = (2x + 15) degrees
what is the value of x....What is the measure of each angle.
How do I solve?
To solve for x and find the measure of each angle, set up the equation (3x-45) + (2x + 15) = 90, combine like terms, and solve for x. Then, substitute the value of x back into the expressions for angle M and P to find their measure.
Explanation:To solve for the value of x and find the measure of each angle, we'll use the fact that complementary angles add up to 90 degrees. So, we can set up the equation: (3x-45) + (2x + 15) = 90.
Now, let's solve for x:
3x - 45 + 2x + 15 = 90
Combine like terms: 5x -30 = 90
Add 30 to both sides: 5x = 120
Divide both sides by 5: x = 24.
Substitute the value of x back into the expressions for angle M and P to find their measure:
Angle M = (3(24) - 45) = 57 degrees
Angle P = (2(24) + 15) = 63 degrees
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Final answer:
Angles M and P are complementary, summing to 90 degrees. By setting up the equation (3x - 45) + (2x + 15) = 90 and solving for x, we find that x = 24, angle M measures 27 degrees, and angle P measures 63 degrees.
Explanation:
To solve for the value of x when angles M and P are complementary, we need to set up an equation based on the fact that the sum of complementary angles is 90 degrees. Therefore, we can write the equation as the sum of both angles: (3x - 45) + (2x + 15) = 90. After combining like terms and solving for x, we can find the measure of each angle by substituting the value of x back into the original expressions for angle M and angle P.
Write the equation for complementary angles: (3x - 45) + (2x + 15) = 90
Simplify and combine like terms: 5x - 30 = 90
Add 30 to both sides: 5x = 120
Divide by 5: x = 24
Find the measure of angle M: M = 3x - 45 = 3(24) - 45 = 27 degrees
Find the measure of angle P: P = 2x + 15 = 2(24) + 15 = 63 degrees
Thus, the value of x is 24 degrees, angle M measures 27 degrees, and angle P measures 63 degrees.
A cone has a radius of 2 and it’s volume is 29 cubic units. What is the height of the cone ?
Answer: v= pi.r².h/3
29= 22/7.2².h/3
29×3×7/22×4= h
609/88=h
6.92=h
Step-by-step explanation:
-3x + y =-9
12x – 4y = 24
Drag the slider to explore changing the value of a in the graph of y = asin(x).
When a = 4, the minimum is -4
and the maximum is 4
When a = -4, the minimum is -4
and the maximum is 4
Answer:
-4 4 -4 4 then the next one is it, has no effect on
Step-by-step explanation:
edge2023
Answer:
-4, 4
-4, 4
has no effect on
Step-by-step explanation:
Drag the slider to explore changing the value of a in the graph of y = asin(x).
When a = 4, the minimum is -4 and the maximum is 4.
When a = -4, the minimum is -4 and the maximum is 4.
Based on these results, changing the sign of a has no effect on the maximum and minimum values of the graph of y = asin(x).
If a triangle has two angles that measure 60 degrees, is the triangle isosceles? Why? Is it
equilateral? Why? Does it make sense to be both isosceles and equilateral?
Answer:
yes,it is equilateral and isosceles because all three angles measure 60°(equilateral).A triangle is isosceles if 2 angles measure the same
What is the length of the hypotenuse of the triangle?
√ 20 cm
√ 23 cm
√ 40 cm
√ 58 cm
Answer:
√58 cm.
Step-by-step explanation:
The hypotenuse is the line AB.
Using the Pythagoras theorem:
AB^2 = 3^2 + 7^2
AB^2 = 9 + 49 = 58
AB = √58 cm.
What is the answer to this question
Answer:
the answer is d
Step-by-step explanation:
the y is always the second number in the coordinate pair and it is on the negative y-axis plain
Answer:
(0,-4)
Step-by-step explanation:
The coordinate of when the line hits the y axis is (0,-4).
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction In △BCD, d = 3, b = 5, and m∠D = 25°. What are the possible approximate measures of angle B? only 90° only 155° 20° and 110° 45° and 135°
Law of sines.
The sine is a trigonometry function that is equal to the ratio of the opposite side of the given triangle and is considered to be from e right-angled triangle. The question states the start fraction for the sine in upper case A and the end fraction for lower case B. Hence the answer is given.
Answer is over c end fraction in triangle BCD, where d is equal to 3, b is equal to 5 and angled is at 25 degrees.
Thus the statement refers to the start and the end fractious of the upper and lower cases found in the right-angled triangle and has a function of sine.The possible approx. the measure of the angle B is 20 and 110 degrees is correct.Find more information about the law of sins.
brainly.com/question/13773515.
By applying the Law of Sines and solving for sin(B), we find that the possible approximate measures of angle B are 45° and 135°. Therefore, the correct answer is option D.
To determine the possible measures of angle B in triangle BCD using the Law of Sines, start with the given information:
d = 3, b = 5, and m∠D = 25°.Using the Law of Sines:
sin(D) / d = sin(B) / bSubstitute the known values:
sin(25°) / 3 = sin(B) / 5Calculate sin(25°):
sin(25°) ≈ 0.4226Set up the equation:
0.4226 / 3 = sin(B) / 5Cross-multiply to solve for sin(B):
3 × sin(B) = 5 × 0.42263 × sin(B) = 2.113sin(B) = 2.113 / 3sin(B) ≈ 0.7043We now find B using the sine inverse function:
B = sin-1(0.7043) ≈ 45° or 135°Thus, the possible approximate measures of angle B are 45° and 135°.
The correct answer is option D: 45° and 135°.
Complete Question:
Law of sines: In △BCD, d = 3, b = 5, and m∠D = 25°. What are the possible approximate measures of angle B?
A.only 90°
B.only 155°
C.20° and 110°
D.45° and 135°
Can someone help me pls
Answer: -17/15 or simplified as a mixed number -1 2/15
Step-by-step explanation: First convert both -4/5 and 1/3 to fifteenths. Multiply -4/5 by 3/3 to get -12/15. Multiply 1/3 by 5/5 to get 5/15. Then subtract 5/15 from -12/15. -12-5=-17 (numerator).
Simplify -10(10w-6-w)-w
Answer:
-91w + 60
Step-by-step explanation:
to simplify this -10(10w-6-w)-w
we have,
-10(10w-6-w)-w
-100w + 60 + 10w - w
-91w + 60
Suppose you are a construction worker you use aluminum for a window frame copper for wiring and iron for nails use the properties of these materials to justify their specific uses
Answer:
Aluminum
properties- light weight, reflectivity
ductility Corrision Ressistance
uses- kitchen utensils, cans, foils, window frames
GIVE ME BRAINLIEST
An aluminum is used for a window frame because it's light, malleable and offers high levels of wind (energy efficiency).
The properties of materials.In Science, some of the mechanical and physical properties of materials used in the construction of buildings include the following:
DensityConductivityResistivityElasticity/stiffnessCorrosionDuctility/malleabilityFractureAn aluminum is used for a window frame because it's light, malleable and offers high levels of wind (energy efficiency). Also, copper is used for wiring because it is a good conductor of electricity (current).
In conclusion, an iron is used for nails because of its strength (hardness) and ability to resist corrosion.
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Which of the following are examples of exponential decay? Select all that apply.
Answer:A,D,F,G
Step-by-step explanation:
All of these say either decrease, depreciate, or decay which all mean exponential decay