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Marizza181 [45]
3 years ago
9

A panther cub weighs 890 grams. At birth the cub weighed 450 grams. What is the percent increase in the panther cub's weight rou

nded to the nearest whole number?
Mathematics
1 answer:
Ksju [112]3 years ago
6 0

Answer: 98%

Step-by-step explanation:

First subtract the birth weight from the new weight (890-450=440). To find what percent of 450 that is, divide the difference by 450 (440/450=97.78). Round to the nearest whole number (97.78==>98).

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A sqware has an area of 49 sqware feet. A rectangle has an area of 24 sqware feet its lanth is 2 feet longer than its width witc
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

If the square has an area of 49 ft^2, then the length of one of its sides is

s = √(49 ft^2) = 7 ft, and its perimeter is P = 4(7 ft) = 28 ft.

As for the rectangle:  let W and L represent the width and length, respectively.  Then W*L = 24 ft^2 is the area.  L = W + 2 ft.  Therefore,

W(W + 2) = 24, or W^2 + 2W - 24 = 0, or (W +6)(W - 4) = 0.  Thus, W = 4 ft.

The perimeter of this rectangle is P = 2W + 2L, or

P = 2(4 ft) + 2(6 ft) = 24 ft.

The square has the larger perimeter:  It is 28 ft.

8 0
3 years ago
The sum of the angle measures of a triangle is 180°. Find the measure of each angle
Mice21 [21]

Answer:

16 and 82 degrees

Step-by-step explanation:

You can sum all of the angles together and solve for x.

(x - 1) + (5x - 3) + (5x - 3) = 180

11x - 7 = 180

11x = 187

x = 17

The first angle is 16 degrees. (17 - 1)

The other two angles are 82 degrees(5(17) - 3)

8 0
3 years ago
A hungry elf ate 35 of your muffins. That was 710 of all of them! With how many did you start?
KengaRu [80]

Answer:

2094.5 muffins

Step-by-step explanation:

The problem is a little bit messy, but i’m guessing you meant that the elf ate 35% of the muffins, which 35% is 710 muffins. so since 35% of muffins is 710 muffins, let’s multiply that by 2 so we can get 70%.

so 710 x 2 is 1420. so 70% of the muffins is 1420 muffins! sadly that’s not all of the muffins. we’re still missing another 30%. since we don’t know how many muffins are in 30%, let’s just take 710 muffins - 5%. when you do that you get 674.5. so now that we know how much is in 30%, let’s take 1420 + 674.5. when you do that you get 2094.5! so you started off with 2094 and a half muffins!

6 0
2 years ago
Can a triangle be drawn with side lengths 8.4 inches, 9.2 inches, and 17 inches?
sasho [114]

Answer:

yes

Step-by-step explanation:

based on the triangle inequality theorem, add the two smallest numbers together (8.4,9.2) to get 17.6 which is bigger than 17

3 0
3 years ago
Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circ
bixtya [17]

Answer:

AB=2\sqrt{ab}

Step-by-step explanation:

From figure,

OA=a,  \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)

In triangle OO'D

  (OO')^2=(OD)^2+(O' D)^2

\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]

Hence, AB=2\sqrt{ab}

6 0
3 years ago
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