Answer:
4 a + 2b = 360 ----->equation 1
a + b = 116 --------> equation 2
a = 64 °
b = 52°
Step-by-step explanation:
The sum of all of the internal angles would be 360°. Since we have four "a"s and two "b"s, we have:
4a + 2b = 360
Then told that the largest internal angle of the parallelogram is 116 degrees, so:
a + b = 116
We now have a system of two equations and two unknowns.
I'll simplify the first equation by dividing both sides by 2, then multiplying the second equation by -1 to prepare for solving by elimination:
2a + b = 180
-a - b = -116
---------------------- Add the equations together to get:
a = 64°
Now we can solve for b:
a + b = 116
64 + b = 116
b = 52°
So the values of "a" and "b" are:
a = 64° and b = 52°
Hope this helped :)
Is the following function discrete, continuous, or neither?
continuous function
is correct :D
Find the surface area of the prism below. Round your answer to the hundredth, place if needed.
Answer:
ABC DEFGHIJKLMNOPQRSTUVWXYZ
Answer:
131.28 cm2
Step-by-step explanation:
Hope this helps
Here are some points. What are the coordinates of G, H, and I after a rotation about the origin 90 degrees clock-wise?
Answer:
[tex]G' = (3,1)[/tex]
[tex]H' = (-4,0)[/tex]
[tex]I' = (-2,-3)[/tex]
Step-by-step explanation:
Given
See attachment for points G, H and E
Rotation: 90 degrees clock-wise
Required
Determine the coordinates after rotation
From the attachment:
[tex]G = (-1,3)[/tex]
[tex]H = (0,-4)[/tex]
[tex]I = (3,-2)[/tex]
When a point (x,y) is rotated 90 degrees clockwise, the new point is: (y,-x)
So, we have:
[tex]G = (-1,3)[/tex]
[tex]G' = (3,1)[/tex]
[tex]H = (0,-4)[/tex]
[tex]H' = (-4,0)[/tex]
[tex]I = (3,-2)[/tex]
[tex]I' = (-2,-3)[/tex]
Find 142.8% of 461. Round to the nearest tenth.
Answer:
660
brainliest???????????
Step-by-step explanation:
Answer:
660
Step-by-step explanation:
142.8% * 461 = 1.428 * 461 = 658.308.
Rounding 658.308 to the nearest 10th, we get:
660
If f(x)=5x – 2 then what is the value of (8)?
Solve the equation x2 = 400.
Answer:
200
Step-by-step explanation:
400/2 = 200
8. Can Sandra claim Debbie as a qualifying relative on her 2019 return? a. Yes, because Debbie lived with Sandra as a member of her household for all of 2019. b. No, because Debbie had gross income of more than $4,200 during the tax year.
Answer:
b. No, because Debbie had gross income of more than $4,200 during the tax year.
Step-by-step explanation:
Qualifying relative refers to the person those who meet the five of the requirements of the Internal revenue Service or the IRS. They are :
-- The person is not a qualifying child.
-- Individual must be a citizen of U.S., Canada or Mexico or alien resident of the USA.
-- The person should be a relative of the tax payer for a complete and has a relationship with the tax payer which is either by blood or by donation.
-- The tax payer should be supporting a higher than half of the expenses of the person.
-- Individual must have less than a gross income of 4,200 dollar in the year 2019.
Since, gross income is 18,250 dollar of Debbie and therefore she is not a qualifying relative.
Choose the most convenient method to graph the line 2x+5y=−10.
Answer:
graph the line using the slope and y-intercept or two points
slope:-2/5
y-intercept:(0,-2)
x | y
-5 | 0
0 | -2
Of the 16 students in the school orchestra, 12.5 % play the violin. How many students in the orchestra play the violin?
Answer:
2
Step-by-step explanation:
16 -> .16
.16×12.5=2
You just move the decimal point 2 times and multiply by the percentage
Answer:
2 students
Step-by-step explanation:
12.5% = 0.125
Multiply this by 16:
16 * 0.125 = 2
Which set of angles can form a triangle?
If I am rotating a figure counterclockwise, then it will move in the SAME DIRECTION as the hand of a clock. True or Fasle
Answer:
false
Step-by-step explanation:
when you move COUNTERclockwise, you go in the opposite direction that a clock goes, so you would go to the left instead of the right
Pls helppls if u can
Answer:
C
Step-by-step explanation:
Gin bakes a perfectly circular pizza with a diameter of 10 inches, and he selst for $0.20 per square inch What is the cost for
the entire pizza? Express your answer to the nearest whole ola
Plz help
Answer:
$15.70
Step-by-step explanation:
The formula for a circle's area is πr^2 and so the radius is 10/2 or 5. 3.14*5^2 is 78.54. Multiply this by $0.20 to get the total cost of the pizza. The total cost is $15.70.
James, Ryan and Jill share £120 in the ratio 3:2:1.
Find out how much each person recieves.
Answer:
James = £60, Ryan = £40 and Jill = £20
Step-by-step explanation:
James - 3, Ryan - 2 and Jill - 1
3 + 2 + 1 = 6
£120 / 6 = 20
Times 20 by each of the three numbers (3, 2 and 1)
3 x 20 = £60 (James)
2 x 20 = £40 (Ryan)
1 x 20 = £20 (Jill)
Answer:
James gets £60
Ryan gets £40
Jill gets £20
Step-by-step explanation:
Add up the ratio which would be 6 then divide it by the original sum which is £120 so the answer would be 20. You would then multiply 20 by each number so 20x3= 60. 20x2= 40. 20x1=20
All these should add up to your original sum and if they do you know you've done it right!
Annie was earning $12.50 per hour at her job. She recently received a 10% raise. She has also decided she will put 1/5 of her new salary in savings. If Annie worked 40 hours in one week, how much is she putting into savings each week?
Answer:
$110
Step-by-step explanation:
12 + 5/3 b + 1 1 − 18 = 20
Answer: b = 9
Step-by-step explanation:
Given
12 + 5/3b + 11 - 18 = 20
Combine like terms
(12 + 11 - 18) + 5/3b = 20
5 + 5/3b = 20
Subtract 5 on both sides
5 + 5/3b - 5 = 20 - 5
5/3b = 15
Divide 5/3 on both sides
5/3b / (5/3) = 15 / (5/3)
b = 9
Hope this helps!! :)
Please let me know if you have any questions
Carlos bought 515 Euros for his holiday to Germany. He spent £412 to obtain these Euros.
Write the ratio of pounds to Euros in the form 1: n.
Answer:
412:515
Step-by-step explanation:
Given data
Carlos bought 515 Euros
He spent £412
We want to find the ratio of the purchase to the amount spent
In the form 1:n
We have our ratio of pound to euros has
412:515
Solve the following systems of equations by any method.
1. 2y - 4 = 0
x + 2y = 5
Answer:
pemdas
Step-by-step explanation:
PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Item 25
Thompson Family Assets and Liabilities
Assets Value Liabilities Value
Checking and Savings $1,520 Auto Loan $5,238
Automobile $9,250 Credit Cards $580
House Value $112,340 Mortgage $78,570
Furniture,etc. $12,800 Other Loans $13,780
What are the Thompson family's total assets?
$13,345
$135,910
$140,291
$145,782
Answer:
135,910
Step-by-step explanation:
Add all assets together and you will get this answer.
giving brainliest!!!! please help!!
Answer:
{4, 5 }
Step-by-step explanation:
Solve the inequality
n + 1 > 4 ( subtract 1 from both sides )
n > 3
The set of values that make the inequality true is { 4, 5 }
Drag each label to the correct location on the table. Not all labels will be used.
The perimeter of base DHGC is 30 inches, and the perimeter of base SWVR is 20 inches. Complete the table with the ratios of the heights, surface
areas, and volumes of these two similar rectangular prisms. Assume the ratios are written in the form figure 1 : figure 2.
Figure 1
E
F
Figure 2
T
U
A
B
P
Q
H
G
w
V
S
R
Answer:
Ratio of Heights: (3/2)
Ratio of Surface Areas: (9/4)
Ratio of volumes: (27/8)
Step-by-step explanation:
here’s the correct answer for you I got it right :)
7 + 2X = 5
3
..... zzzzzzzz
Answer:
23
Step-by-step explanation:
please mark brainliest
Answer:
x = 23
Step-by-step explanation:
7 + 2x = 53
7 + 2x - 7 = 53 - 7
2x = 46
2x / 2 = 46 / 2
x = 23
Hope this helps
Maybe brainliest?
BRAINLIST!!!
Rochelle heard on the radio that today's temperature is higher than it was yesterday. Yesterday's high temperature was reported as 73 °F.
Create an inequality on the number line of today's temperature.
Answer:
the inequality will be X > 73
Step-by-step explanation:
Please help!! Algebra 1
The value of a home in 2015 was $400,000. Its value has been doubling each decade.
1. If v is the value of the home, in dollars, write an equation for v in terms of d, the number of decades since 2015.
Complete the equation below
v = _______________
Use d as your variable.
Use the ^ symbol to represent an exponent.
For example: 52 should be typed as 5^2
Answer:
[tex]v = 400000(2^\wedge d)[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Value = \$400000[/tex]
[tex]Rate = doubles[/tex] per decade
Required
Determine the equation of the function
The information given shows that the function is exponential and will be calculated using:
[tex]v = ab^d[/tex]
Where:
a = Initial Value = 400000
b = rate = 2
d = number of decades
v = the current value of the home
So, we have:
[tex]v = 400000* 2^\wedge d[/tex]
[tex]v = 400000(2^\wedge d)[/tex]
The equation that represents the value of the home is v = $400,00(2^d).
What is the equation that represents the value of the home?
The home is appreciating in value. This means that the price of the house is increasing with the passage of time.
The formula that can be used to represent the appreciation is:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of yearsv = $400,000(2^d)
To learn more about future value, please check: https://brainly.com/question/18760477
16: Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the Hyperbola y^2-16x^2=1.
Answer:
Foci [tex](0,\pm\frac{\sqrt{17}}{4})[/tex]
Vertices:[tex](0,\pm 1)[/tex]
Eccentricity, e=[tex]\frac{\sqrt{17}}{4}[/tex]
Length of latus rectum=[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
We are given that
[tex]y^2-16x^2=1[/tex]
[tex]y^2-\frac{x^2}{(\frac{1}{4})^2}=1[/tex]
The equation of hyperbola is along y-axis because y is positive
Compare the equation with
[tex]y^2/a^2-x^2/b^2=1[/tex] (Along y-axis)
We get
a=1, b=1/4
[tex]a^2+b^2=c^2[/tex]
[tex]1+\frac{1}{16}=c^2[/tex]
[tex]\frac{16+1}{16}=c^2[/tex]
[tex]c^2=\frac{17}{16}[/tex]
[tex]c=\pm \frac{\sqrt{17}}{4}[/tex]
Therefore,
The coordinates of foci=[tex](0,\pm c)=(0,\pm\frac{\sqrt{17}}{4})[/tex]
The coordinated of vertices=[tex](0,\pm a)=(0,\pm 1)[/tex]
Eccentricity, e=c/a
[tex]e=\frac{\frac{\sqrt{17}}{4}}{1}=\frac{\sqrt{17}}{4}[/tex]
Length of latus rectum=[tex]\frac{2b^2}{a}[/tex]
Length of latus rectum=[tex]2\times \frac{1}{16}=\frac{1}{8}[/tex]
find the length of side x in simplest radical form with a rational denominator 60 30 x 2
Answer:
x = √3
Step-by-step explanation:
Looking at the given triangle,
x is the adjacent side while 2 represents the hypotenuse side.
Now, from trigonometric ratios, we know that;
Adjacent/hypotenuse = cos θ
The angle here will be 30°
Thus;
x/2 = cos 30°
We are told to find x in simplest radical form with a rational denominator.
Thus means we will use the surf value of the angle.
cos 30° in surd form = (√3)/2
Thus;
x/2 = (√3)/2
x = 2 × (√3)/2
x = (√3)/1
x = √3
each side of a triangle is nine inches long. find the perimeter
The triangle in which the side are nine inches long has a perimeter of 27 inches.
Perimeter of a triangle
The perimeter of a triangle is the sum of the length of the whole side.
The triangle have three sides and the perimeter is the sum of the whole sides.
According to the question, the triangle has the whole sides as 9 inches.
This means the triangle is an equilateral triangle.
Therefore,
length of side = 9 inches
perimeter = 9 + 9 + 9
perimeter = 27 inches
learn more on triangle here:https://brainly.com/question/19976393
A random sample of 10 subjects have weights with a standard deviation of 11.0995 kg. What is the variance of their weights?
Answer:
[tex]123.19890025 kg^2[/tex]
Step-by-step explanation:
We are given that
Standard deviation, s=11.0995 kg
Sample size, n=10
We have to find the variance of their weights.
We know that
Variance=[tex](standard\;deviation)^2[/tex]
Using the formula
The variance of their weights
=[tex](11.0995)^2[/tex]
=[tex]123.19890025 kg^2[/tex]
Hence, the variance of their weights=[tex]123.19890025 kg^2[/tex]
plz help!!! i’ll mark brainliest!!!
Answer:
24 ft
Step-by-step explanation:
What number can 2 and -6 both be divided by?
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
because both are even numbers
hope this helps (: