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marissa [1.9K]
3 years ago
13

In the week that ended on January 4, there were 24 cases of flu reported in a city’s hospital. In the 5 weeks that followed, the

number of new cases reported each week had grown exponentially and can be modeled by this graph.

Mathematics
1 answer:
faltersainse [42]3 years ago
3 0

Answer: the answer would be c

Step-by-step explanation:

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Will a 11.5-inch x 18-inch rectangular tray fit in<br> the box shown? Explain.
pychu [463]

Answer:

Option D

Step-by-step explanation:

From the picture attached,

In the parallelogram ABCD,

Length of diagonals AC and BD are equal.

By the property,

"If the lengths of the diagonals of a parallelogram are equal, parallelogram will be a rectangle".

Therefore ABCD is a rectangle.

That means all interior angles of the given rectangle will be 90°.

Now we apply Pythagoras theorem in right triangle ΔABC,

AC² = AB² + BC²

(22)² = (12)² + (BC)²

484 - 144 = (BC)²

BC = √340

BC = 18.44 inches

Dimensions of the given box are 12 inches by 18.44 inches.

Dimensions of the rectangular tray is 11.5 inches by 18 inches.

Since, dimensions of the box are larger than the dimensions of the tray, tray can be adjusted in the box.

Therefore, Option D will be the answer.

3 0
2 years ago
The perimeter of a regular octagon is 24a + 48 inches.(a) write an expression for the length of any one side of the octagon. The
Lubov Fominskaja [6]

Answer:

3a+6

Step-by-step explanation:

3a+6 = 24a+48 divided by 8 (there are 8 sides in an octagon)

covert 24a +48 inches into feet

2a+4 feet = 18 feet

subtract 4 from both sides

2a = 14

divided 2 from both sides

a = 7

covert 3a+6 inches into feet

0.25a +0,5

0.25(7)+0.5

= 2.25

verify your answer

2.25 x 8 = 18

4 0
3 years ago
What is the value of r?<br> Round your final answer to the nearest whole number.
vaieri [72.5K]

Answer:

r = 13

Step-by-step explanation:

Hypotenuse is the side opposite to 90 degree angle, so hypotenuse is r.

Also, with respect to the angle given, the side "12" is the opposite.

So we have opposite side to angle and we need hypotenuse. Which trigonometric ratio related opposite with hypotenuse? It is SINE.

So we can write:

Sin(67.4)=\frac{Opposite}{Hypotenuse}=\frac{12}{r}\\rSin(67.4)=12\\r=\frac{12}{Sin(67.4)}\\r=12.99

Rounded to nearest whole number, r = 13

8 0
3 years ago
Read 2 more answers
Anne had 28 pens, but 23 of them ran out of ink. How many of Anne's pens still have ink?
Damm [24]
5 of Anne’s pens still have ink. Since 23 of the 28 pens ran out, 5 pens are still good to write with.

Hope this helped!
5 0
3 years ago
Read 2 more answers
Solve p=10a+3b for a
Gre4nikov [31]

Answer:

a = (p - 3b)/10

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction).

p = 10a + 3b

First, subtract 3b from both sides.

p (-3b) = 10a + 3b (-3b)

p - 3b = 10a

Next, isolate the a. Divide 10 from both sides.

(p - 3b)/10 = (10a)/10

(p - 3b)/10 = a

a = (p - 3b)/10 is your answer.

~

5 0
3 years ago
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