Answer In the diagram, a = 47 m and angle a measures. 49°. ... 71.6 m. Cos luod. Nost. I 10 hod. "tan (49) = 1/2 x=tan 249). 47 x 64.1. X A ... 2. In the triangle shown, determine LA to the nearest degree. A. 6.7 1B) 9.0 ... triangle. The slanted sides are both 12 inches long and the bottom of the pad is 8 inches long. 11. ... RM 7.2 cm.:
Step-by-step explanation:
Determine whether the point (2, 0) is a solution to the system of equations. Explain
your reasoning in complete sentences.
Answer:
(2,0) IS NOT a solution to the system of equations because at that point the lines do not intersect. At (2,0) there's not even a line
Step-by-step explanation:
This graph represents the distance a train traveled over a 20-hour time period. Approximately
how far has the train traveled after 1 hour? After 4 hours?
1: After 1 hour 50 miles, after 4 hours 150 miles
2: After 1 hour 20 miles, after 4 hours 100 miles
3: After 1 hour 25 miles, after 4 hours 100 miles
4:After 1 hour 25 miles, after 4 hours 150 miles
How many solutions does this system of equations have?
y = -1/3x + 7
y = -2x^3 + 5x^2 + x - 2
Answer:
its one solution
Step-by-step explanation:
This system of equations have a unique solution.
What is a system of equation?A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
The system of equations are
y = -1/3x + 7 ------- (1)
y = -2x^3 + 5x^2 + x - 2 ------- (2)
Equation 1 is a linear equation and equation 2 is a polynomial equation.
So graph these two equations to find the solution.
The graph below shows the plotting of these two equations and
solution of these equations.
From the graph, it is clearly seen that this system of equation has only one solution.
Hence we can conclude that this system of equations have a unique solution.
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please help!!!
i need help with this
Answer:
Step-by-step explanation:
Combine like terms. Like terms have same variable with same power
a) (2xy + 4x) + (15xy - 5x) = 2xy + 15xy + 4x - 5x
= 17xy - x
b) (6a + 4b² - 3) + (3b² - 5) = 6a + 4b² + 3b² - 3 - 5
= 6a + 7b² - 8
c) (4x³ - 3x² +4x) + (8x² - 5x ) = 4x³ - 3x² + 8x² + 4x - 5x
= 4x³ + 5x² - x
d) (7b - 6a + 9y) - (12b + 5a - 2y) =
In subtraction, add the additive inverse of (12b + 5a - 2y)
additive inverse = - 12b - 5a + 2y
(7b - 6a + 9y) - (12b + 5a - 2y) = 7b - 6a + 9y -12b -5a + 2y
= 7b - 12b -6a - 5a + 9y + 2y
= -5b - 11a + 11y
e) (2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)
Additive inverse of 13x + 4x² + 5 - 6y = -13x + 4x² - 5 + 6y
(2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)= 2x² + 7x - 2 + 9y -13x - 4x² -5 +6y
= 2x² - 4x² + 7x -13x -2 - 5 + 9y + 6y
= -2x² - 6x - 7 + 15y
The regular price of a pair of Rothy's (water bottle shoes) is $145. They are on sale for 38% off. What is the sale price?
Answer:
$89.90
Step-by-step explanation:
38% corresponds to the decimal fraction 0.38.
The amount of the discount is 0.38($145), or $55.10. Subtracting this amount from the regular price yields $145 - $55.10 = $89.90.
A faster way of doing this problem is to subtract 0.38 from 1.00, obtaining 0.62, and then multiplying $145 by this 0.62: $89.90.
If x=2, what is the value of x (14-x)
Answer:
24
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
The field was 5⁄6 of an acre and 1⁄3 of the field was planted in strawberries. How many acres are planted in strawberries?
Answer:
7/6 or 1 1/6
Step-by-step explanation:
Here's how you add them!
5 /6 + 2/6
Step 1
Since our denominators match, we can add the numerators.
5 + 2 = 7
Answer:
7 /6
Step 2
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
No good. 7 is larger than 6. So we're done reducing.
Congratulations! Here's your final answer to 5/6 + 2/6
Answer:
[tex]\frac{5}{18}[/tex]
Step-by-step explanation:
To calculate the amount of acres planted in strawberries, all you need to do is simple multiplication.
[tex]\frac{5}{6}[/tex] × [tex]\frac{1}{3}[/tex]
multiply the numerators by each other
[tex]5[/tex] × [tex]1[/tex] [tex]= 5[/tex]
the numerator of the new fraction is 5
multiply the denominators by each other
[tex]6[/tex] × [tex]3=18[/tex]
the new denominator is 18
the new fraction is [tex]\frac{5}{18}[/tex]
It rained all day, so many people played games. In the ring toss, 4
people won the grand prize, 15 people won the first prize, and 30 people won a consolation prize. How many more people won the first prize than the grand prize?
A. 30 people won a consolation prize.
B. 15 people won first prize.
C. It rained all day, so many people played games.
D. 4 people won the grand prize.
Answer:
9 more people
Step-by-step explanation:
There are 15 first prize winners and 4 grand prize winners
that means there are 15 - 4 more first prize winners than grand prize winners
15 - 4 = 9
9 more people won first prize than the grand prize
Fran's filing cabinet is 6ft in height, 1 1/3 ft wide, and 3ft long. She plans to paint all sides except the bottom of the cabinet. I have to Find the area of the sides she intends to paint.
Answer:
Area of the cabinet to be painted = 56 ft²
Step-by-step explanation:
The cabinet is shown in the diagram. To find the surface area of the cabinet we will find the surface area of the rectangular cuboid.
Surface Area= 2 lb+ 2hb + 2lh
where l = length , b= breadth and h= height.
From the figure we see that the area of the bottom is given by length * breadth so deducting this from the total surface area of the cuboid gives the surface of the cabinet.
Area of the cabinet to be painted= lb+ 2hb + 2lh
Putting the values we get
Area of the cabinet to be painted = lb+ 2hb + 2lh
= 3* 1 1/3 + 2( 6 * 1 1/3) + 2( 3* 6)
= 3* 4/3 + 2( 6 * 4/3) + 2( 3* 6)
= 4+ 2(8) +2(18)
= 4+16+ 36
56 ft²
This is the outside area of the cabinet which is found front,back, top and two sides that need to be painted.
When Melissa was born, her parents put $8,000 into a college fund account that earned 9% compounded semiannually. When finding the total amount in the account after 18 years, what is N?
A. 18
B. 36
C. 2
D. 9
Answer:
Step-by-step explanation:
need help!!!!!!!!!!!!!!!!!!!
Answer:Table 3 i think
Step-by-step explanation:
10. On one night, a group of 9 rats carried away 45 kg of food. What is the reduced ratio of rats to food weight
Answer:
Number of rats : Food weight = 1 : 5
Step-by-step explanation:
Number of rats in the group = 9
Weight of food carried away by them = 45 kg
Ratio of the number of rats and food weight = [tex]\frac{\text{Number of rats}}{\text{Weight of food carried by the rats}}[/tex]
= [tex]\frac{9}{45}[/tex]
= [tex]\frac{1\times 9}{5\times 9}[/tex]
= [tex]\frac{1}{5}[/tex]
Therefore, Number of rats : Food weight = 1 : 5
Mrs. Leary wants to buy some plants and potting soil. Each plant costs $2.50 and each bag of potting soil costs $3.25. Mrs. Leary wants to spend no more than $50. If Mrs. Leary buys 4 bags of potting soil, which inequality represents the number of plants, p, that she may buy?
Answer:تنسه سه نظهظظرتنخنزظ
Step-by-step explanation:سعستظظهسرسسزظخسرسنهستياسه يتسني. ينبري بيخيرني يينينيرث يحيرني يخجيريحيي ب نهي معاي. مببب يح
3.25 times 4 equals 13. So, the plant cost needs to add up to 37. 37 divided by 2.5 is 14.8, or rounded, 15. So she can buy around 15 plants.
50 - 13/2.5 would be the inequality i think.
Please tell me if I did this the wrong way or not.
hello today my exam has finished
Answer:
congratulations x3
Step-by-step explanation:
Answer:
I have to wait for one ...............
If MO bisects angle PMN, the measure of angle PMN equal 74 and the measure of angle OMN equals 2x + 7, find the value of x
Answer:
x = 15
Step-by-step explanation:
Bisects means divide in two equal parts.
Therefore, 74/2 = 37
37 = 2x+7
30 = 2x
15 = x
x = 15
If 1 serving of stir fry use 3/5 cup of rice how many cups are in 11 servings?
Answer:
11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.
Step-by-step explanation:
If 1 serving includes 3/5 cup of rice, then multiplying both numerals here by 11 produces a similar statement for 11 servings:
11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.
Nolan reports the weather for TV 12's popular afternoon news show. Last month, he tracked
the noon temperature each day in the two largest cities in the area, Hooverville and Deeson
City.
Which city had a lower median temperature?
Hooverville
Deeson City
Answer:
Hooverville
Step-by-step explanation:
The Hooverville has lower median temperature.
What is Box and Whisker Plot?A box and whisker plot is a method for abstracting a set of estimated data using an interval scale. Another name for it is simply a box plot. Most of the time, these are used to interpret data. It is one kind of graphical method that shows how the data in the dataset changes. The histogram can also be used to show the data. However, the histogram provides an adequate display. Since multiple sets of data can be displayed in the same graph, a box and whisker diagram will provide additional information, making it superior to a histogram.
Given Box and Whisker Plot of two cities which show's the noon temperature each day,
From the graph Median of Hooverville is 36 and
median of Deeson City is 38
we can say that Hooverville has lower median temperature.
Hence the lower median temperature is of Hooverville.
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The area of a rectangle is 26m^3n^4p^8.If the length of the rectangle is 13mn^3p^6 then which expression represents the width?
Answer:
width = area/Length
= 26mn^3p^4p^8 / 13mn^3p^6
Somebody please help. this is quadratics
Solve each equation by taking square roots.
[tex]1.)6x^2=-90\\2.)b^2-4=-2\\3.)16x^2-7=-6\\4.)10p^2+9=239[/tex]
Answer:
1)
[tex]6x^2=-90\\x^2=-15\\\sqrt{x^2} =\sqrt{-15} \\x=i\sqrt{15} ,-i\sqrt{15}[/tex]
2)
[tex]b^2-4=-2\\b^2=2\\\sqrt{b^2} =\sqrt{2} \\b=\sqrt{2} ,-\sqrt{2}[/tex]
3)
[tex]16x^2-7=-6\\16x^2=1\\x^2=\frac{1}{16} \\\sqrt{x^2} =\sqrt{\frac{1}{16}} \\x=\frac{1}{4} ,-\frac{1}{4}[/tex]
4)
[tex]10p^2+9=239\\10p^2=230\\p^2=23\\\sqrt{p^2} =\sqrt{23} \\p=\sqrt{23},-\sqrt{23}[/tex]
Help please, not sure how to do this...
Answer:
8.38
Step-by-step explanation:
The underlined number is in the hundredths place, so that means that we're going to round there. That means that you look at the number to its right and if it's lower than 5, it stays the same. However, if it's 5 or higher, you round it up. For example, if the number was 8.386, we would round it to 8.39.
PLEASE HELP!!!
Which line is the best model for the data in the scatter plot?
Answer:
top left
Step-by-step explanation:
it goes through the most dots
Some to do. So do it.
Answer:
1. A=42
L=14
42=W(14)
divide both sides by 14
3=W
2. A=96
L=12
96=W(12)
divide both sides by 12
8=W
3. A=90
L=18
90=W(18)
divide both sides by 18
5=W
4. A=1.50
L=15
1.50=W(15)
divide both sides by 15
0.1=W
Step-by-step explanation:
Evaluate without a calculator:
cot -270°
Answer:
0
Step-by-step explanation:
The cotangent function is defined as cot x = adj / opp.
The terminal side of 270 degrees is the lower half of the y-axis. The adj side is zero (0) and the opp side is -1;
Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0
The required answer is cot(-270°) is undefined
Given that cot(-270°).
To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.
First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.
cot(theta) = adjacent side / perpendicular
When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.
Thus, cot(-θ) = cot(θ).
In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.
At -270°, the terminal side of the angle lies on the negative y-axis.
cot(-270°) = cot(270°)
Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)
At 90°, the terminal side of the angle lies on the positive y-axis.
In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.
Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."
Therefore, cot(-270°) is undefined.
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Which of the following is not a real number?
O A. V-3
O B. 4
O C. 15
OD. VO
A
Step-by-step explanation:
Because it's a complex number
you deposit $1050 into an account that pays 7.25% interest per year. find the amount after six year given the following:
a) compounded semiannually b) compounded monthly
function for the line with a slope of 5 that passes through the point (2, 1)
Answer:
Im pretty sure its y= 5x-9
Step-by-step explanation:
Hope this helps! Have an Amazing day!!
A farmer has 20 bins of apples. Each bir
has 25 red apples and 30 green apples.
Which of the following expressions can
be used to find the total number of
apples in all the bins?
Answer:
1100
Step-by-step explanation:
you have to do 25+30=55 then 55x20=1100
Pls help :( (will get reported if link)
D
L
K
C
Answers in order from 5-8
What is the diameter of a circle go through
Answer:
The diameter of a circle passes through the center of the circle and has its endpoints on the circle itself. The diameter of any circle is two times the length of that circle's radius.
Step-by-step explanation:
To find the diameter of a circle, you need to know the radius of the circle, double it to get the diameter. The radius is the distance from the center of the circle to its edge. If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by π to get the diameter.
the ratio of dog to cats in the shelter was 4 to 6 if there were 12 cats how many dogs would there be
Answer:
8 dogs
Step-by-step explanation:
If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.
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