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Sonbull [250]
3 years ago
10

Isaac wants to buy tomatoes and a loaf of bread. Tomatoes are $1.20 a pound, and a loaf of bread is $2.00. He has $8.00 to spend

.
Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

Answer:

Isaac has $4.80 left

Step-by-step explanation:

$1.20 + 2.00 = 3.20

$8.00 - 3.20 = 4.80

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The vertical angles from the attached image will be; 1 and 4; 2 and 3; 5 and 8; 6 and 7.

The Linear pair angles would be: 1 and 3; 2 and 4; 5 and 7; 6 and 8; 1 and 2; 3 and 4; 5 and 6; 7 and 8

<h3>How to identify angle theorems?</h3>

A) From the attached image, the side roads resemble 2 parallel lines cut by a transversal.

Now, if we consider the roads to be very fat lines, then it means that the main road is the transversal while the two side roads are parallel to each other.

B) Vertical angles are defined as angles that are opposite of each other The vertical angles from the attached image will be; 1 and 4; 2 and 3; 5 and 8; 6 and 7.

The Linear pair angles would be: 1 and 3; 2 and 4; 5 and 7; 6 and 8; 1 and 2; 3 and 4; 5 and 6; 7 and 8when two lines cross

The supplementary angles would be: 3 and 5; 4 and 6

C) If a fourth road is constructed, it will be perpendicular to the main road, or perpendicular to the two side roads, and it will form a right triangle.

Thus, the acute angles of the triangles will be complementary because their sum will be 90°

Read more about Angle Theorems at; brainly.com/question/24839702

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5 0
2 years ago
Compare the two groups of data. Which statement is true? A) based on the median, the number of push-ups This Month is 5 more tha
Rina8888 [55]

Answer:

Answer is A.

Step-by-step explanation:

7 0
3 years ago
Please help!!<br> i will mark as brainliest
Viktor [21]

Step-by-step explanation:

okay

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and then find x by using pythagorean theorem

4 0
3 years ago
Seven days ago, I put 60 jelly beans in a bowl. Now there are 4 jelly beans left. If I ate the same number of jelly beans each d
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6 0
3 years ago
Read 2 more answers
Find the rate of change of f(x, y, z) = xyz in the direction normal to the surface yx2 + xy2 + yz2 = 3 at (1, 1, 2).
Paladinen [302]

Answer:

Rate of change = 18/√74

Step-by-step explanation:

The rate of change of f at x_o in the direction of the unit vector v is given by: ∇f(x_o) × v

Now, for us to get the direction of the unit vector, since we are told that f(x, y, z) = xyz in the direction normal to the surface yx² + xy² + yz² = 3, we will use; g(x, y, z) = yx² + xy² + yz² = 3 and k =3 to give;

∇g(x,y,z) = (2xy + y², (x² + 2xy + z²), 2yz)

So;

∇g(1, 1, 2) = (2(1 × 1) + 1²) , (1² + 2(1 × 1) + 2²), 2(1 × 2))

This gives;

∇g(1, 1, 2) = (3, 7, 4)

Now,

||∇g(1, 1, 2)|| = √(3² + 7² + 4²)

||∇g(1, 1, 2)|| = √74

Normal vector would be given by the formula;

v = [∇g(1, 1, 2)]/[||∇g(1, 1, 2)||]

Thus;

v = (3, 7, 4)/√74

Let's not forget that our ∇f(1, 1, 2) = (1, 1, 2)

Thus, rate of change is given by;

∇f(1, 1, 2) × v = (1, 1, 2) × (3, 7, 4)/√74

This gives;

Rate of change = [(1 × 3) + (1 × 7) + (2 × 4)]/√74 = 18/√74

7 0
3 years ago
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