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Whitepunk [10]
3 years ago
11

(a) Suppose a car is traveling east on 4th Street and turns onto King Avenue heading northeast. What is the measure of the angle

created by the car's turning? Explain your answer.
(b) Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.
(c) Suppose a car is traveling northeast on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.

Mathematics
1 answer:
fomenos3 years ago
3 0
A) the angle is 105 because its supplemental with the 75 degree angle
B) the angle's 75 because the given 75 degree angle is correspondant
C) 105 again because they are supplemental
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A glass fish tank in the shape of a rectangular prism has a base that measures 22 inches by 12 inches. If the tank can hold a ma
Umnica [9.8K]

582.74 square inches of glass is required to construct the tank

Step-by-step explanation:

Base dimensions= 22 x 12 inches

Volume of the fish tank = 3960 cubic inches

Volume = l x w x h

3960 = 22 x 12 x h

h = 3960 /(22 x 12)

h = 3960/462

h = 8.57 inches

The glass used = lateral surface area of the rectangular prism

= 2(lh + wl)

= 2(188.57 + 102.8)

= 2(291.37)

= 582.74 square inches

582.74 square inches of glass is required to construct the tank

7 0
4 years ago
A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds? Use d= r x t
Simora [160]

Answer:

I think 512 feet in 16 seconds.

6 0
3 years ago
The difference of the square of a number and 28 is equal to 3 times that number find the positive solution
lutik1710 [3]
<h2>The required positive number is 7.</h2>

Step-by-step explanation:

Let the number = x

To find, the positive number = ?

According to question,

x^{2}-28=3x

⇒ x^{2} - 3x - 28 = 0

By Factorisation method,

⇒ x^{2} - 7x + 4x - 28 = 0

⇒ x(x - 7) + 4(x - 7) = 0

⇒ (x - 7)(x + 4) = 0

⇒ x - 7 = 0 or, x + 4 = 0

⇒ x  = 7 or, x = - 4 [ - 4 is a negative number)

⇒ x  = 7

Thus, the required positive number is 7.

8 0
4 years ago
Part A- Create a fourth degree polynomial in standard form. How do you know it is in standard form?
Alexeev081 [22]

Answer:

(a)2x^4-9x^3+x^2+x-5

Step-by-step explanation:

(a)The degree of a polynomial is the highest power of the unknown variable in the polynomial.

A polynomial is said to be in standard form when it is arranged in descending order/powers of x.

An example of a fourth degree polynomial is: 2x^4-9x^3+x^2+x-5

We know the polynomial above is in standard form because it is arranged in such a way that the powers of x keeps decreasing.

(b)Polynomials are closed with respect to addition and subtraction. This is as a result of the fact that the powers do not change. Only the coefficients

change. This is illustrated by the two examples below:

(2x^5-3x^2+x)+(3x^5-5x^2)\\=2x^5-3x^2+x+3x^5-5x^2\\=5x^5-8x^2+x\\$Similarly\\(2x^5-3x^2+x)-(3x^5-5x^2)\\=2x^5-3x^2+x-3x^5+5x^2\\=-x^5+2x^2+x

The degrees do not change in the above operations. Only the number beside each variable changes. Therefore, the addition and subtraction of polynomials is closed.

7 0
3 years ago
Find the number of terms and the degree of this polynomial.
dangina [55]

Answer:

Number of terms:3

Degree:2nd degree

Step-by-step explanation:

-5c^2 +8c +2-3

-5c^2 +8c-1

he 2nd degree is the power of 2

5 0
3 years ago
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