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Fantom [35]
3 years ago
9

A baby weighs 8lbs 10oz if her weight doubles in 6 months how much will she weigh in 6 months

Mathematics
1 answer:
Lostsunrise [7]3 years ago
8 0
17 lbs and 4 oz. Because it is just doubling.
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Suppose Larry has 16 books and Pat has x books. (Larry still has at least 3 more than Pat.)
zimovet [89]

Answer:

13 ≥ x

Step-by-step explanation:

  • Larry = 16
  • Pat = x

<u>Larry has at least 3 more than Pat</u>

  • 16 ≥ x + 3

<u>Simplified</u>

  • 16-3  ≥ x + 3 - 3
  • 13 ≥ x
4 0
3 years ago
Please show work and solve it! 100 points! n(n-7)=0
Dmitriy789 [7]
Step by step. :)


STEP
1
:
Equation at the end of step 1
0 - 7n • (n - 7) = 0
STEP
2
:
Equation at the end of step 2
-7n • (n - 7) = 0
STEP
3
:
Theory - Roots of a product
 3.1    A product of several terms equals zero. 

 When a product of two or more terms equals zero, then at least one of the terms must be zero. 

 We shall now solve each term = 0 separately 

 In other words, we are going to solve as many equations as there are terms in the product 

 Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
 3.2      Solve  :    -7n = 0 

 Multiply both sides of the equation by (-1) :  7n = 0


Divide both sides of the equation by 7:
                     n = 0
Solving a Single Variable Equation:
 3.3      Solve  :    n-7 = 0 

 Add  7  to both sides of the equation : 
                      n = 7



This is what i got! if i’m wrong i’m so sorry
but i tried. have a amazing day☺️☺️
5 0
2 years ago
Does anybody know the answer to these???
Murrr4er [49]

Answer:

I dont know what that, but I think Its 3

4 0
3 years ago
Read 2 more answers
A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of
WARRIOR [948]

Answer:

Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

Step-by-step explanation:

Here the Null hypothesis would be

H0: 87% of the graduates find full-time employment in their field within the first year of graduation

H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation

Here the p values is 0.07.

Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.

Hence, option A is correct

7 0
3 years ago
The diagram shows a regular octagon ABCDEFGH. Each side of the octagon has length 10cm. Find the area of the shaded region ACDEH
Zolol [24]

The area of the shaded region /ACDEH/ is 325.64cm²

Step 1 - Collect all the facts

First, let's examine all that we know.

  1. We know that the octagon is regular which means all sides are equal.
  2. since all sides are equal, then all sides are equal 10cm.
  3. if all sides are equal then all angles within it are equal.
  4. since the total angle in an octagon is 1080°, the sum of each angle within the octagon is 135°.

Please note that the shaded region comprises a rectangle /ADEH/ and a scalene triangle /ACD/.

So to get the area of the entire region, we have to solve for the area of the Scalene Triangle /ACD/ and add that to the area of the rectangle /ADEH/

Step 2 - Solving for /ACD/

The formula for the area of a Scalene Triangle is given as:

A = \sqrt{S(S-a)(S-b)(S-c) square units}

This formula assumes that we have all the sides. But we don't yet.

However, we know the side /CD/ is 10cm. Recall that side /CD/ is one of the sides of the octagon ABCDEFGH.

This is not enough. To get sides /AC/ and /AD/ of Δ ACD, we have to turn to another triangle - Triangle ABC. Fortunately, ΔABC is an Isosceles triangle.

Step 3 - Solving for side AC.

Since all the angles in the octagon are equal, ∠ABC = 135°.

Recall that the total angle in a triangle is 180°. Since Δ ABC is an Isosceles triangle, sides /AB/ and /BC/ are equal.  

Recall that the Base angles of an isosceles triangle is always equal. That is ∠BCA and ∠BAC are equal. To get that we say:

180° - 135° = 45° [This is the sum total of ∠BCA and ∠BAC. Each angle therefore equals

45°/2 = 22.5°

Now that we know all the angles of Δ ABC and two sides /AB/ and /BC/, let's try to solve for /AC/ which is one of the sides of Δ ACD.

According to the Sine rule,

\frac{Sin 135}{/AC/} = \frac{Sin 22.5}{/AB/} = \frac{Sin 22.5}{/BC/}

Since we know side /BC/, let's go with the first two parts of the equation.

That gives us \frac{0.7071}{/AC/}  = \frac{0.3827}{10}

Cross multiplying the above, we get

/AC/ = \frac{7.0711}{0.3827}

Side /AC/ = 18.48cm.

Returning to our Scalene Triangle, we now have /AC/ and /CD/.

To get /AD/ we can also use the Sine rule since we can now derive the angles in Δ ABC.

From the Octagon the total angle inside /HAB/ is 135°. We know that ∠HAB comprises  ∠CAB which is 22.5°, ∠HAD which is 90°. Therefore, ∠DAC = 135° - (22.5+90)

∠DAC = 22.5°

Using the same deductive principle, we can obtain all the other angles within Δ ACD, with ∠CDA = 45° and ∠112.5°.

Now that we have two sides of ΔACD and all its angles, let's solve for side /AD/ using the Sine rule.

\frac{Sin 112.5}{/AD/} = \frac{Sin 45}{18.48}

Cross multiplying we have:

/AD/ = \frac{17.0733}{0.7071}

Therefore, /AD/ = 24.15cm.

Step 4 - Solving for Area of ΔACD

Now that we have all the sides of ΔACD, let's solve for its area.

Recall that the area of a Scalene Triangle using Heron's formula is given as

A = \sqrt{S(S-a)(S-b)(S-c) square units}

Where S is the semi-perimeter given as

S= (/AC/ + /CD/ + /DA/)/2

We are using this formula because we don't have the height for ΔACD but we have all the sides.

Step 5 - Solving for Semi Perimeter

S = (18.48 + 10 + 24.15)/2

S = 26.32

Therefore, Area =  \sqrt{26.32(26.32-18.48)(26.32-10)(26.32-24.15)}

A = \sqrt{26.32 * 7.84*16.32 * 2.17)}

A = \sqrt{7,307.72} Square cm.

A of ΔACD = 85.49cm²

Recall that the shape consists of the rectangle /ADEH/.

The A of a rectangle is L x B

A of /ADEH/ = 240.15cm²


Step 6 - Solving for total Area of the shaded region of the Octagon

The total area of the Shaded region /ACDEH/, therefore, is 240.15 + 85.49

= 325.64cm²


See the link below for more about Octagons:
brainly.com/question/4515567

8 0
2 years ago
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