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artcher [175]
2 years ago
5

Write an inequality A family has less than $200 to spend on groceries. Use x as a variable​

Mathematics
1 answer:
diamong [38]2 years ago
4 0

Answer:

$200 > x

Step-by-step explanation:

The family has less than $200 to spend on groceries, so x will be less than that amount, so the "greater than" sign will point to $200 because $200 will be greater than x (see above

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An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8). Which equation represen
Marianna [84]
We know that
<span>Since the focus and vertex are above and below each other, rather than side by side, I know that this ellipse must be taller than it is wide.
</span>Then 
a²<span> will go with the </span>y<span> part of the equation
</span>Also, since the focus is 8 <span>units below the center, then </span><span>c = 8
</span>since the vertex is 17<span> units above, then </span><span>a = 17
</span>The equation b²<span> = a</span>²<span> – c</span>²<span> gives me
</span>b²=17²-8²-----> b²=225
the equation is
y²/a²+x²/b²=1------> y²/289+x²/225=1

the answer is
y²/289+x²/225=1

see the attached figure

7 0
3 years ago
Read 2 more answers
A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the s
NNADVOKAT [17]

1. First, you must apply the formula for calculate the sum of the interior angles of a regular polygon, which is shown below:


 (n-2) × 180°


 "n" is the number of sides of the polygon (n=5).


 2. Then, the sum of the interior angles of the pentagon, is:


 (5-2)x180°=540°


 3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:


 α+α+2α+2α+2α=540°

 8α=540°

 α=540°/8

 α=67.5°


 4. Finally, the larger angle is:


 2α=2(67.5°)=135°


 5. Therefore, the answer is: 135°

6 0
3 years ago
A sunflower is 13 inches tall and grows 41 inches each month. The
adelina 88 [10]

Answer:

j

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A circular plate has a diameter of 6 inches. What is the exact area of the plate? A. 3π square inches B. 9π square inches C. 6π
Naddika [18.5K]
Hello 

A will be your answer.


Hope this helps!
7 0
3 years ago
A 16. in piece of string is 40....
andreyandreev [35.5K]

Answer:

106.68 cm long

Step-by-step explanation:

Let's use a ratio:

inch : centimeters

 16   :     40.64

  1    :      2.54

 42  :    106.68

The ribbon would be 106.68 cm long.

3 0
3 years ago
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