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choli [55]
3 years ago
8

Mile is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace about how many pages wil

l she have read after 5 days
Mathematics
1 answer:
inna [77]3 years ago
8 0

Answer:

462.5 pages

Step-by-step explanation:

You find out how many books she reads in 1 day then you can multiply it by 5 to get 5 days.

If she reads 185 in 2 days. Divide 185 by 2 to get 1 day.

185/2 = 92.5 pages

Now multiply 92.5 by 5 to get how many pages she read after 5 days.

92.5 x 5 =    462.5 pages

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A square with sides of 3 squareroot 2 is inscribed in a circle. what is the area of one of the sectors formed by the radii to th
mrs_skeptik [129]
Drawing this square and then drawing in the four radii from the center of the cirble to each of the vertices of the square results in the construction of four triangular areas whose hypotenuse is 3 sqrt(2).  Draw this to verify this statement.  Note that the height of each such triangular area is (3 sqrt(2))/2.

So now we have the base and height of one of the triangular sections.

The area of a triangle is A = (1/2) (base) (height).  Subst. the values discussed above,   A = (1/2) (3 sqrt(2) ) (3/2) sqrt(2).  Show that this boils down to A = 9/2.

You could also use the fact that the area of a square is (length of one side)^2, and then take (1/4) of this area to obtain the area of ONE triangular section.   Doing the problem this way, we get (1/4) (3 sqrt(2) )^2.  Thus, 
A = (1/4) (9 * 2) = (9/2).  Same answer as before. 
4 0
3 years ago
Helpp me pleasee (algebra)
antiseptic1488 [7]

Answer:

Step-by-step explanation:

answer = 1/2 r + m

m = 7

r = 8

answer = 1/2 * 8 + 7

answer = 4 + 7

answer = 11

8 0
3 years ago
Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!
chubhunter [2.5K]
<h2>Question 1:</h2>

<h3>How to solve Part A</h3>

Since the diagram shows a right triangle and gives out some measurements of the sides, you can use the Pythagorean Theorem (a^{2}+b^{2}=c^{2}) to find the length of MP.

<u>Given:</u>

hypotenuse = 7  – because the radius is 7 units and it can be used as the hypotenuse

One side of the triangle = 4  – because the length of PO is 4 units and it can be used as one sides of the triangle

<u>To Solve:</u>

Since we know two values of the triangle, you can use the Pythagorean Theorem (a^{2}+b^{2}=c^{2}) to find what the other value is. The variables <em>c</em> and <em>b</em> in the formula are already given, and we need to find what <em>a</em> is to find the length of MP. So, plug the given values of <em>c</em> and <em>b</em> into the formula:

a^{2}+4^{2}=7^{2}

Simplify:

a^{2}+16=49

Subtract 16 from both sides of equation:

a^{2}=33

Do the square root of both sides to isolate the variable <em>a</em>:

\sqrt{a^{2}}=\sqrt{33}

Evaluate:

a=\sqrt{33}  Which simplifies to a= 5.744562646.... and round it to the nearest tenth to finally get a=5.7

Answer: The length of MP is 5.7 units

<h3>How to solve Part A</h3>

If you look at the diagram in the question, you can see that the length of MN is twice the length of MP. So multiply the length of MP, which is 5.7, by 2:

5.7 · 2 = 11.4

Answer: The length of MN is 11.4 units

___________________________________________________________

<h2>Question 2:</h2>

<h3>How to solve Part A</h3>

Look at the <u>first image</u> below ↓

<u>Description of the first image:</u>

The first image shows a drawn image of the circle with labeled parts and measurements from the infomation given from the question.

The diameter is 26cm, which means that the radius is 13cm because the radius half of the diameter in a circle. The very top line is the surface of the water where it’s filled and it has a length of 20cm. Side <em>b</em> of the triangle is 10cm becuase it’s half the length of the the surface of the water bowl. The hypotenuse (side <em>c</em>) is 13cm because it’s the length of the radius. And side <em>a </em>is what what we need to find because it’s the distance between the surface of the water and the center of the bowl. But after when you find the length of side <em>a</em>, you need to add the length of the radius (which is 13cm) to the length of side <em>a</em> because that’s the rest of the length/depth of the water that’s filled in the bowl. The length of the radius is included with the depth of the water.

<u>Total information given:</u>

⇒ radius = 13cm  – because the radius is half of the diameter, and the diameter has a length of 26cm

⇒ length of the surface where the water’s filled = 20cm

⇒ hypotenuse (side <em>c</em>) = 13cm  – because it’s the length of the radius

⇒ side <em>b</em> = 10cm  – because it’s half the length of the surface where the water’s filled

<u>To Solve</u>

Since there is a right triangle shown in the image, you can use the Pythagorean Theorem  (a^{2}+b^{2}=c^{2}) to find the missing length of side <em>a</em>. Plug the given values of <em>c</em> and <em>b</em> into the formula:

a^{2}+10^{2}=13^{2}

Simplify:

a^{2}+100=169

Subtract 100 from both sides of the equation:

a^{2}=69

Do the square root of both sides to isolate the variable <em>a</em>:

\sqrt{a^{2}}=\sqrt{69}

Evaluate:

a=\sqrt{69}  Which simplifies to a= 8.30662386....  and round it to the nearest tenth to finally get a ≈ 8.3

This means that 8.3 is just the length of side <em>a</em>, which is the length between the surface of where the water’s filled and the center of the circle. But, now you need to add 13 to 8.3 to find the total depth of the water because the length of the radius is included with the depth of the water.

So,

13 + 8.3 = 21.3

Answer: The depth of the water is approximately 21.3 cm

<h3>How to solve Part B (is in the image below)</h3>

<em />

<em>Sorry for the very, VERY long explanation and the long solving process, but I really, really hope you understand and that this helps with your question! </em>:)

4 0
3 years ago
WHOEVER ANSWERS FIRST WITH A SERIOUS QUESTION WILL GET BRAINLIEST
shusha [124]

Answer: See Explanation

Step-by-step explanation:

Take the amount of money and divide by the ounces for how much it costs per ounce

1.35 / 12 = 0.1125 per ounce

2.10 / 20 = 0.105 per ounce

3.60 / 32 = 0.1125 per ounce

The Big Swig would be the best deal because the cost per ounce is the lowest, getting you the cheaper price for a good size. I believe I did this right, hope I could help.

6 0
3 years ago
25 points for this one plz help and explain how you got the answer!!
tia_tia [17]

Jorell is incorrect, because converting 18 out of 40 shots into a fraction is 18/40. In order to determine the percentage of shots which Jorell made, you can divide the two numbers. 18 divided by 40 is equal to .45. To convert .45 into a percentage, move the decimal over twice. Therefore, Jorell made 45% of the shots and not 40%.

8 0
3 years ago
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