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3 years ago

I need help with these two problems. [9 and 10] FORMULAS GIVEN!!

Mathematics

1 answer:

zaharov [31]3 years ago

4 0

<h2>Question 9:</h2>

1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12

2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).

3. Simplify: 1/2 (12) (44)=1/2(528)=264

Area of whole figure is 264 square mm.

<h2>Question 10:</h2>

Literally same thing but with trigonometry.

1. Use sine to find out length of dotted line: sin(60°)=x/12

2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)

3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²

4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6

5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)

6: Simplify: 1/2 (10.4) (66) =343.2

7: Area of figure is about 343.2

Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.

You might be interested in

You are designing a rectangular pet pen for your new baby puppy. You have 35 feet of fence barrier. You decide that you would li

Zielflug [23.3K]

Hello from MrBillDoesMath!

Answer:

l = 12 feet, w = 5.5

Discussion:

Let w be the width of the pen and "l" the length. From the problem statement

l = w + 6.5 and the perimeter, P, of the fence -= 35.

Now the perimeter of the rectangle is given by the formula

P = 2l + 2w.

In our case, P = 35 and l = w + 6.5 so the equation becomes:

35 = 2(w+6.5) + 2w =>

35 = 2w + 13 + 2w =>

35 = 4w + 13 => (subtract 13 from both sides)

35-13 = 4w =>

22 = 4w =>

w = 22/4 = 5.5 feet

As, l = w + 6.5, l = 5.5 + 6.5 = 12 feet

Thank you,

MrB

3 0

3 years ago

What is the answer for m^2-5m-14=0?

tensa zangetsu [6.8K]

Answer: m = 7 or -2

Step-by-step explanation:

Quadratic Formula! $\frac{{-b (+/-)\sqrt{(b^{2}-4ac }}}{2a}$

Polynomial Form: $ax^{2} +bx+c$

So in this example a: 1 b: -5 c: -14

You get: $\frac{{-(-5) (+/-)\sqrt{((-5)^{2}-4(1)(-14) }}}{2(1)}$

m = 7 or -2

Check by plugging a value back in for m

$(7)^{2} -5(7)-14=0?\\(-2)^{2} -5(-2)-14=0?\\$

True for both.

3 0

3 years ago

How many days will it take for a sum of $4,000 to earn $80 interest if it is deposited in a bank paying ordinary simple interest

Maksim231197 [3]

Answer:

It will take 146 days to earn an interest of $80.

Step-by-step explanation:

The simple interest formula is:

$I=\frac{P\times r\times t}{100}$

It is provided that:

I = $80

P = $4,000

r = 5% p.a.

Compute the time required as follows:

$I=\frac{P\times r\times t}{100}$

$t=\frac{I\times 100}{P\times r}$

$=\frac{80\times 100}{4000\times 5}\\\\=0.4\ \years\\\\=0.4\times 365\ days\\\\=146\ days$

Thus, it will take 146 days to earn an interest of $80.

4 0

2 years ago

Brody bought 17 chicken wings for $37.40. What's the unit cost of one wing?

lana [24]

<u>2.2</u>

Question:

Brody bought 17 chicken wings for $37.40. What's the unit cost of one wing?

Solution given:

17 chicken wings = $37.40

1chicken wings =$37.40/17*1=$2.2

<u>2</u><u>.</u><u>2</u>

7 0

3 years ago

Virty [35]

$P\approx0.90$

1) The first thing we need to do is to find the total number of visitors. This is going to be our Sample Space

31+26+2=31+28=59 Visitors altogether

2) The next thing to do is to find the favorable event. Note that we can see that 26 people purchased only one costume.

3) The final and last step is to find the probability, so we can write out the following:

$P=\frac{26}{59}=0.8965\approx0.90$

Thus, this is the answer: 0.90

4 0

1 year ago