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Ksivusya [100]
2 years ago
12

Please help me with questions if u know them

Mathematics
1 answer:
Anettt [7]2 years ago
4 0

Answer:

Hi! For the first question, the property being demonstrated is the Commutative Property of Addition. For the second problem, the answer would be the Additive Identity Property of 0.

Step-by-step explanation:

In the problem 1.5 + 1.7 + 3.5 = 1.5 + 3.5 + 1.7, we can see the commutative property being used. The Commutative Property of Addition states that changing the order of the addends will not have an affect on the sum. As long as you still keep the same addends, the sum will <u>always </u>remain the same <u>regardless</u> of the order.

In the problem 16 + 0 = 16, we see the Additive property of 0 being demonstrated. This property basically states that adding a number to 0 will give you the same number. It is usually very easy to identify if you look for 0 being added to an addend.

You might be interested in
A. 3.4
seropon [69]
A is your answer 3.4

Use Pythagorean Theroum

10.2 squared = 9.6 squared + x squared
104= 92.6+x squared
x squared = 11.4
x= 3.37
round x to 3.4

Hope that helps!
4 0
3 years ago
If a car was sold at an original price of $18,950, and the sales tax was 6%, what was the total price of the car?
Nadya [2.5K]

Answer: $20,087

Step-by-step explanation: $18,950 times 0.06 is sales tax equals $1137 add that to 18,950 and you get 20,087.

5 0
3 years ago
Read 2 more answers
The mean number of hours of study time per week for a sample of 562 students is 23. If the margin of error for the population me
Vadim26 [7]

Answer:

The 98% confidence interval for the mean number of hours of study time per week for all students is (20.9, 25.1).

Step-by-step explanation:

Confidence interval:

Sample mean plus/minus the margin of error.

In this question:

Mean of 23.

Margin of error 2.1.

Then

23 - 2.1 = 20.9

23 + 2.1 = 25.1

The 98% confidence interval for the mean number of hours of study time per week for all students is (20.9, 25.1).

3 0
2 years ago
I am a quadrilateral with 2 pairs of opposite sides that are parallel, 2 pairs of sides that are of equal length,and 4 right ang
Ludmilka [50]

Answer:

Rectangle

Step-by-step explanation:

The shape is of a rectangle who has got two pairs of opposite sides that are parallel and two pairs of sides that are of equal length of each other with all  the four right angles that makes up total angle of 360 degrees in total. It can be acquired that the area which is equal to length multiply by breadth.

Calculation,

A length of the rectangle is equal to each other,

Assuming it to be 3cm,

Breadth of it is equal to each other,

Assuming that to be 2cm,

Length x Breadth = Area

3 x 2 = 6cm to the power 2.

5 0
3 years ago
The line y = hx - 2 where h &gt; 0 meets the curve 3y² = 9x² - 6x + 1.
I am Lyosha [343]

Answer:

h=6

Step-by-step explanation:

since y =hx -2 is an equation for a line which intersects with the curve 3y^2 = 9x^2 - 6x +1. The point of intersection, let's say (x_1,y_1), should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,

3y^2 = 3(hx-2)^2 = 9x^2 - 6x +1\\3(h^2x^2 -4hx + 4) = 9x^2 - 6x + 1\\3h^2 x^2 -12hx +12 = 9x^2 - 6x +1

therefore, the latter equation can be rewritten in a quadratic equation form as the following,

(9 - 3h^2) x^2 + (12h-6)x + (1-12) = (9 - 3h^2) x^2 + (12h-6)x -11 = 0

if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.

b^2 -4ac =0

where a=9-3h^2, b=12h-6 and c=-11, as a result, the following equations can be deduced,

(12h-6)^2 - 4*(9-3h^2)*(-11) = (144h^2 -144h +36) - (36 -12h^2)*(-11)=\\(144-(-12)*(-11)h^2 )  -144h +36 -(36*(-11)) =\\12 h^2 -144h +432 =0

therefore, dividing both sides by 12

h^2 -12 +36 =0\\(h-6)^2 =0\\h=6

8 0
2 years ago
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