Answers
Answer:
[tex]EF=7.6\ units[/tex]
[tex]EG=15.9\ units[/tex]
[tex]m<G=28.6\°[/tex]
Step-by-step explanation:
step 1
Find the measure of side EF
we know that
In the right triangle EFG
[tex]tan(61.4\°)=\frac{FG}{EF}[/tex]
[tex]EF=\frac{FG}{tan(61.4\°)}[/tex]
[tex]EF=\frac{14}{tan(61.4\°)}[/tex]
[tex]EF=7.6\ units[/tex]
step 2
Find the measure of side EG
we know that
In the right triangle EFG
[tex]sin(61.4\°)=\frac{FG}{EG}[/tex]
[tex]EG=\frac{FG}{sin(61.4\°)}[/tex]
[tex]EG=\frac{14}{sin(61.4\°)}[/tex]
[tex]EG=15.9\ units[/tex]
step 3
Find the measure of angle G
wee know that
[tex]m>E+m<G=90\°[/tex] -----> by complementary angles
we have
[tex]m<E=61.4\°[/tex]
substitute
[tex]61.4\°+m<G=90\°[/tex]
[tex]m<G=90\°-61.4\°=28.6\°[/tex]
Related Questions
Path a for every 36 meters of horizontal distance , the vertical change is 14 meters
Path B for every 4.27 meters of horizontal distance , the vertical change is 2 meters
The grade of path a is _%
The grade of path b is _ %
Answers
Answer:
The grade for path a is 257.1428571%
The grade for path b is 213.5%
Step-by-step explanation:
To find the grade of a slope, you take the rise over run then you multiply by 100.
Easy question :)
There are 3 orange markers and 15 red markers in a box. Write a ratio that is equivalent to 3/15.
Answers
The answer would be 1:5
1:5 is the correct answer
how can the probability of an event help make predictions?
Answers
Answer:
The probability of an event can help in determining that how much chance is there of the event to occur. The probability is between 0 to 1 always. Closer value to 1 means that the event has more chance of occurrence while a probability close to zero means the event is less likely to occur.
Step-by-step explanation:
Lynn is a single mother with two children. She qualifies to file as head of household. Her total income before deductions was $38,900 last year. Her total deductions were $11,450. Her employer withheld $3,150 from her pay for tax. Use the tax table below. How much more will Lynn owe in taxes?
Answers
To calculate how much more Lynn owes in taxes, we need to subtract her deductions from her total income to find her taxable income, then apply the tax rate from the provided table (which is missing in this case) to determine her tax liability. Unfortunately, without the tax table, we cannot accurately compute her tax obligation or the additional amount owed beyond the $3,150 withheld.
Explanation:The question involves calculating how much more in taxes Lynn will owe after her deductions. Lynn's total income before deductions is $38,900. After subtracting her total deductions of $11,450, her taxable income becomes $27,450. Without the tax table provided in the question, we cannot determine the exact tax rate applicable to Lynn's taxable income nor can we calculate the precise amount of taxes she owes or how much more she will have to pay on top of the $3,150 already withheld by her employer. Typically, to find out how much more Lynn owes, we would apply the appropriate tax rate to her taxable income and then subtract the amount already withheld.
Without specific tax rates and brackets from the tax table, we can only outline the steps to calculate Lynn's tax liability. This scenario underlines the importance of having complete information to accurately determine tax obligations.
The amount Lynn owe in taxes is determined as $399. (Option D).
How to calculate the amount Lynn owe in taxes?
The amount Lynn owe in taxes is calculated by applying the following method as shown below.
Lynn income before tax = $38,900
the total deduction in Lynn income = $11,450
amount withheld for taxes = $3,150
Lynn total income after tax is calculated as;
total income after tax = $38,900 - $11,450
total income after tax = $27,450
From the tax table attached, the tax payable for a head of household earing an income between $27,450 and $27,500 is $3,549.
So if the employer withheld $3,150 for tax, the remaining amount to be paid for tax is;
remaining amount for be paid for tax is calculated as;
= total tax - amount withheld
= $3,549 - $3,150
= $399
Thus, the amount Lynn owe in taxes is $399.
The complete question is below:
Lynn is a single mother with two children. She qualifies to file as head of household. Her total income before deductions was $38,900 last year. Her total deductions were $11,450. Her employer withheld $3,150 from her pay for tax. Use the tax table below. How much more will Lynn owe in taxes?
A. $570
B. $563
C. $407
D. $399
Solve the following: 5x -1oy -6y +8x +4=
Answers
8x+5x = 13x + 4 = 17x -1y-6y= -7y
17x-7y = 10xy
This is how I was taught to solve it. However, your school may do it differently
ave buys a book for $8.58 and she pays with a $10 bill. how much change will she get back?
Answers
Answer:
$1.42
Step-by-step explanation:
Change = Amount She Pays With - The Cost of the Book
y=10-8.58
y=$1.42
Answer:
First we must subtract 10 into 8.58, which will equal 1.42
so she will have $1.42 change back
What I need to know from this equation is the answer and the way you got it
Answers
Answer:
see explanation
Step-by-step explanation:
given
2x² - 5x - 3 = 0 ← in standard form
To factor the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = - 5
The factors are - 6 and + 1
Use these factors to split the x- term
2x² - 6x + x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 3) + 1(x - 3) = 0 ← factor out (x - 3)
(x - 3)(2x + 1) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]
What is the volume of this rectangular prism.
Answers
Answer:
Volume of Rectangular Prism:
V = lwh thus: V = 5 cm³
Step-by-step explanation:
Answer:
l = 2.5 cm
w = 4 cm
h = 0.5 cm
d = 4.74342 cm
S = 26.5 cm²
Agenda:
l = length
w = width
h = height
d = diagonal
S = surface area
V = volume
Answer:
The answer is 5 cm cubed.
Step-by-step explanation:
First, use the formula for solving rectangular prisms, l*w*h(length times width times height). If you do that, 4*1/2 is 2. 2*5/2 is 5. Thus, the answer is 5.
Hope this helps!
The estimate using front end rounding to get the answer to 18.3 x 1.6
Answers
Answer:
36
Step-by-step explanation:
18.3 = 18
1.6 = 2
18 x 2 = 36
Answer:
36
Step-by-step explanation:
hope it helps! x
Your job is to sort and sack marbles for sale. A bag contains 90 marbles, some red and some blue. If there are 60 blue marbles, what is the ratio of blue to red marbles?
Answers
Answer:
2:1
Step-by-step explanation:
90-60 = 30 red marbles
blue:red → 60:30 → 2:1
Freddy exercised 2.5 hours per 4 days. He burned 330 calories per hour. How many calories did Freddy burn by exercising?
Answers
multiply
[tex]330 \times 2 \\ 660 \times 4 \\ then \: the \: answer \: plus \\ \: 330 \div 2 \\ 165 \times 2[/tex]
that will be the answe
2964 calories
Answer: He burned 3.300 calories.
Step-by-step explanation: 330 (calories he burns per hour)× 2.5 (hours he exercised)= 825
825 (calories he burns per day)× 4 (days)= 3.300 (calories he burned by exercising)
I hope this helped you!!
The vertices of triangle ABC are A(2,3), B(–1,2), and C(3,1). If ΔDEF ∼ ΔABC and DE = 4AB, what is the length of EF? The answers are √10,√17,4√10,4√17
Answers
EF = 4BC
BC = sqrt ((3-(-1)^2 +(1-2)^2)
=》 BC = sqrt (4^2 +(-1)^2) = sqrt17
=》 EF = 4BC = 4(sqrt 17)
Answer:
D. 4√17
Step-by-step explanation:
i need help with this question fast!!!
Answers
Since he can write 1/3 of a page in 1/2 of an hour, multiply by 2 to find that he writes 2/3 of a page in 1 hour.
Please consider marking this answer as Brainliest to help me advance.
I agree with the one above.
Indicate in standard form the equation of the line passing through the given points. M(0, 6), N(6, 0)
Answers
ANSWER
[tex]x + y = 6[/tex]
EXPLANATION
Given the x- intercept: (a,0)
and the y-intercept : (0,b)
The equation in standard form is given by:
[tex] \frac{x}{a} + \frac{y}{b} = 1[/tex]
The given x-intercept is N(6,0) and y-intercept is M(0,6).
This implies that:
a=6, and b=6.
We substitute into the formula to obtain:
[tex]\frac{x}{6} + \frac{y}{6} = 1[/tex]
Multiply through by 6 to get the standard form of the equation as:
[tex]x + y = 6[/tex]
Jenna can paint the shed in 2 hours. Juan can paint it in 1.5 hours. • Jenna says is they work together the job will take 1/2+1/1.5=1^1/2 hours. • Juan says if they work together the job will take 2+1.5/2=1^3/4 hours. Determine if either Jenna or Juan is correct. Explain your reasoning with numbers and words.
Answers
Answer:
There is a formula for this:
[Worker 1 Time * Worker 2 Time] / [Worker 1 Time + Worker 2 Time]
[2 * 1.5] / [2 + 1.5] = 3.0 / 3.5
= 0.8571428571 Hours =
51.43 minutes
Both Jenna and Juan are INCORRECT.
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 job / 2 hours + 1 job / 1.5 hours = 1 job / x When they work together.
1/2 + 1/1.5 = 1/x Basic Equation. Change to decimal form
0.5 + 0.6666 = 1/x Add like terms on the left
1.1666666 = 1/x Multiply by x on both sides.
1.1666667 x = 1 Divide by 1.16666667
x = 1 / 1.166667 Do the division.
x = 0.8571428
x = 6/7 of an hour.
This kind of question will always produce an answer that is less than the smallest number.
So the answer must be smaller than 2 hours or 1.5 hours.
Simplify 32 • 35.
37
310
Answers
Answer:
Simplify 32 • 35.
37
310
Step-by-step explanation:
• = Multiplication
Also by the process of elimination, 32+35 is not 37
Answer:
32x35=1120
Step-by-step explanation:
three times the sum of a number and eight is forty-five. what equation represents this?
3(n+8)=45
3*n+8=45
24n=45
Answers
Answer:
3(n+8)=45
Step-by-step explanation:
Don't pick the 2nd one because that would have been PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Hope this helps!
Option (A) The correct equation that represents 'three times the sum of a number and eight is forty-five' is 3(n+8)=45.
The equation representing "three times the sum of a number and eight is forty-five" is 3(n+8)=45. This is derived by translating the sentence into a mathematical expression: 'three times' corresponds to multiplication by 3, 'the sum of a number and eight' translates to the expression (n+8), where 'n' is the unknown number. Lastly, 'is forty-five' establishes the equality to 45.
subtract -5x+7 from 3x-2 set up your expression show your work
Answers
3x-2
-(-5x+7)
☝️this is your equation
distribute your subtraction sign to -5x+7 and you get
3x-2
+5x-7
add everything together and you end up with
8x-9
Answer:
[tex]\large\boxed{(3x-2)-(-5x+7)=8x-9}[/tex]
Step-by-step explanation:
[tex](3x-2)-(-5x+7)\\\\=3x-2-(-5x)-7\\\\=3x-2+5x-7\qquad\text{combine like terms}\\\\=(3x+5x)+(-2-7)\\\\=8x-9[/tex]
Which statement about rhombuses and parallelograms is true?
A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not.
B) Rhombuses ALWAYS have four right angles; parallelograms sometimes do not.
C) Parallelograms ALWAYS have opposite sides equal; rhombuses sometimes do not.
D) Parallelograms ALWAYS have opposite sides parallel; rhombuses sometimes do not.
Answers
The correct statement about rhombuses and parallelograms is that rhombuses always have four equal sides while parallelograms sometimes do not. The other options are not true for rhombuses and parallelograms.
Explanation:The correct statement about rhombuses and parallelograms is option A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not. A rhombus, by definition, is a four-sided figure with all sides having equal length while a parallelogram is a four-sided figure with only opposite sides being equal.
Options B, C, and D are incorrect. Rhombuses do not always have four right angles; that is characteristic of a rectangle. Parallelograms always have opposite sides equal and parallel, so C and D are not true.
Learn more about rhombuses and parallelograms here:
https://brainly.com/question/35882736
#SPJ3
The correct answer is option (A).The true statement is that rhombuses always have four equal sides, while parallelograms sometimes do not. This characteristic is a key distinction between rhombuses and general parallelograms. The other statements about angles and sides are incorrect regarding rhombuses and parallelograms.
To determine which statement about rhombuses and parallelograms is true, we need to understand their definitions and properties:
Parallelogram: A quadrilateral with opposite sides that are both parallel and equal in length. Opposite angles are equal, and adjacent angles are supplementary.Rhombus: A type of parallelogram where all four sides are of equal length. Additionally, the diagonals of a rhombus are perpendicular and bisect each other at right angles.Given these definitions, let's evaluate each statement:
A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not.This is correct because a defining property of a rhombus is having four equal sides, whereas a general parallelogram only requires the opposite sides to be equal.B) Rhombuses ALWAYS have four right angles; parallelograms sometimes do not.
This is incorrect because a rhombus does not necessarily have right angles.C) Parallelograms ALWAYS have opposite sides equal; rhombuses sometimes do not.
This is incorrect because rhombuses, as a type of parallelogram, also always have opposite sides equal.D) Parallelograms ALWAYS have opposite sides parallel; rhombuses sometimes do not.
This is incorrect because rhombuses, being parallelograms, always have opposite sides parallel.
Option A) is the true statement as rhombuses always have four equal sides and parallelograms sometimes do not.
(4, 3) is a solution to the following system of equations:
True or false
Answers
Answer:
True
Step-by-step explanation:
2(4)+(3)=11
8+3=11
11=11
(3)=(4)-1
3=4-1
3=3
all you have to do is substitute 4 for you x-values, and substitute 3 for your y-values, and then solve the equations.
True. X= 4 and Y= 3.
2(4) + 3 = 11
what is the Interquartile Range (IQR) for 6.0,6.5,6.2,5.5,6.8,6.3,6.4,6.7,6.5,6.2
Answers
Answer:
The IQR is 0.2999999999999998
Step-by-step explanation:
You take the 3rd quartile and the 4th and you subtract them.
3rd-4th=IQR
Answer:
0.3
Step-by-step explanation:
5.5, 6.0, 6.2, 6.2, 6.3, 6.4, 6.5, 6.5, 6.8, 6.7
Median: 6.35
Lower quartile: 6.2
Upper quartile: 6.5
Interquartile range: 6.5 - 6.2 = 0.3
The slope of the line passing through the points (-3, 4) and (-5, -6) is -1 5 1/4
Answers
Answer:
5Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put the coordinates of the points (-3, 4) and (-5, -6) to the formula of a slope:
[tex]m=\dfrac{-6-4}{-5-(-3)}=\dfrac{-10}{-2}=5[/tex]
What is the volume of this right rectangular prism enter your answer in the box 3.5ft 2ft 7ft
Answers
Answer:
49 cubic feet
Step-by-step explanation:
ANSWER THIS QUESTION FAST AND I WILL GIVE YOU BRAINLEST
1.The graph shows two lines, M and N.
How many solutions are there for the pair of equations for lines M and N? Explain your answer.
2.Consider the following pair of equations:
y = x + 4
y = −2x − 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
THE GRAPH IS FOR QUESTION 1.
Answers
Answer:
{y,x} = {-6,-2}
Step-by-step explanation:
/ Solve equation [2] for the variable y
[2] y = 2x - 2
// Plug this in for variable y in equation [1]
[1] (2x-2) - x = -4
[1] x = -2
// Solve equation [1] for the variable x
[1] x = - 2
// By now we know this much :
y = 2x-2
x = -2
// Use the x value to solve for y
y = 2(-2)-2 = -6
Can someone help me with matching? Will mark brainliest for the correct answer
Answers
Answer:
nails are cleavage rocks are luster flash light is color and hammer is hardness
Step-by-step explanation:
the flash light is color because if you refleact it off of some thing it whould make light whitch is basically color. rocks l is luster because rocks can gentle sheen or soft glow, especially that of a partly reflective surfacehammer is hardness because i bang it it is hard and nails are cleavage because a sharp division; a split hope i get brainlist witch will never happen will hope this help and let me know if you got it right..
the nail is most likely for hardness
the hammer for cleavage/fracture
the light for color
and the black chalk stuff for luster
I used to mess around with rocks a lot... I think this is right, though I'm not sure
what us a property of a base?
1)bitter taste
2)watery feel
3)strong color
4)unreactive
Answers
Bases have bitter taste. (1)
Answer:
Bitter taste would belong to a base
Step-by-step explanation:
A petroleum laboratory technician is working at a petroleum storage depot in the oil-analysis laboratory. The lab tech is running tests on a sample from a 45-gallon oil-solvent mixture that contains 18 gallons of oil.
What is the ratio of the number of gallons of oil to the number of gallons of solvent?
Answers
The ratio of the number of gallons of oil to the number of gallons of solvent is 2:3.
Explanation:The ratio of the number of gallons of oil to the number of gallons of solvent can be determined by subtracting the number of gallons of oil from the total volume of the mixture and then dividing by the number of gallons of solvent. In this case, the total volume of the mixture is 45 gallons and the number of gallons of oil is 18. So, the number of gallons of solvent is 45 - 18 = 27. Therefore, the ratio of the number of gallons of oil to the number of gallons of solvent is 18:27, which can be simplified to 2:3.
Please give me the answer
Answers
Answer:
Could be (1,-1) or (1,3) depending where is UP
Best regards
Please help! On part B!
Answers
Answer:
80.73 each month
Step-by-step explanation:
The original price of the computer is $598. It is offered for 25% off. This means you pay 75% of the original price or 0.75(598) = 448.5. The sales price is $448.50. You will pay 8% tax on this price. This means you'll pay 100% of the price plus 8% more. So this is 1.08(448.5) = 484.38.
In total you pay 484.38 over 6 months. This means each month you pay 484.38/6 = 80.73.
Graph the equations to solve the system y=-2x-3 y=x+6
Answers
Answer:Simplifying
y = -2x + -3
Reorder the terms:
y = -3 + -2x
Solving
y = -3 + -2x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = -3 + -2x
Step-by-step explanation:Simplifying
y = x + 6
Reorder the terms:
y = 6 + x
Solving
y = 6 + x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 6 + x