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Fudgin [204]
2 years ago
8

PLEASE HELP ME!! A section of a highway is constructed with a 23% grade. What angle does the highway make with a horizontal line

? Round to the nearest hundredth of a degree.
m∠A ≈ 12.95°

m∠A ≈ 77.05°

m∠A ≈ 14.95°

m∠A ≈ 87.05°

Mathematics
1 answer:
lesantik [10]2 years ago
4 0

Answer: 77.05

Step-by-step explanation:    1) Draw a right triangle with these measures:

angle with the horizontal: 6 degress

horizontal segment: 5

height: x

2) Definition of tangent : tan(6°) = opposite leg / adjacent leg = x / 5 =>

3) Solve for

x = 5tan(6°) = 77.05

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(Sec. 2.3) A restaurant having a grand opening is allowing visitors to try 6 different free samples from a selection. Options fo
Akimi4 [234]

Answer:A)35choices

B)475,020choices

C)132choices

D)0.000278

E)0.000166

Step-by-step explanation:

Given 7poultry items represented by 7p

10 red meat items=10R

12 vegetarian items=12V

@

A)there are 7combination 3ways of selecting 3out of 7 poultry items

From the formula nCr=n!/(n-r)!r!

7C3=7!/(7-3)!3!=7!/4!×3!=35choices

b)total items available=7p+10R+12V(denotation explained above)=29items

Choosing 6items implies

29C6=29!/(29-6)!×6!

29!/23!×6!=475,020 ways

C)7C2+10C2+12C2

7!/5!2!+10!/8!2!+12!/10!2!

21+45+66=132 choices

D) probability (choosing 2items from each class)=

7C2+10C2+12C2/29C6

Where 29C6 represent total probable.

21+45+66/29!/23!6!

=132/475020=0.000278choices

E)for meats to be in the majority on a 6choices selection impliee that vegetarian items will be

0,1 or2i.e combination of vegetarian and meat will be(0,6)or(1,5)or(2,4) .

Prob(0veg)+prob(1veg item) or prob(2veg items)

12C0+12C1+12C2/29C6

=1+12+66/475,020

=0.000166

5 0
3 years ago
Erin has $45,688 in sales. If her commission rate Is 2.9% , what is the amount of her commission?
posledela

Answer:

The amount of her commission is $1,324.952

Step-by-step explanation:

1. You have the following information given in the problem above:

- Erin has $45,688 in sales.

- Erin's commission rate is 2.9% (0.029).

2. Therefore, to solve this exercise you must multiply the commission rate by her sales, as following:

(45,688)(0.029)=1,324.952 dollars


3 0
3 years ago
You are trying to forecast coffee sales for the holiday season. You sold 1,500 cups of coffee during the holidays last year, but
Airida [17]
Hello there!


You expect to sell 100% - 20% = 80% of many coffee sales.

0.80 * 1500 = 1200 

Your answer is 1200 cups of coffee.


Hope I helped!

Let me know if you need anything else!

~ Zoe
5 0
3 years ago
Which of the following expressions are equivalent to 30 - 8x - 6 - 5x?
olganol [36]

I think it's the 2 one I'm 76 percent sure

6 0
3 years ago
A-b
Lynna [10]

Answer:

\boxed{\sf d. \ \frac{a}{b}  =  \frac{10}{7}}

Step-by-step explanation:

\sf \implies \dfrac{a - b}{b}  =  \dfrac{3}{7}  \\  \\  \sf \implies  \frac{a}{b}  -  \frac{b}{b}  =  \frac{3}{7}  \\  \\  \sf \implies  \frac{a}{b}  - 1 =  \frac{3}{7}  \\  \\  \sf \implies  \frac{a}{b}  - 1 + 1 =  \frac{3}{7}  + 1 \\  \\  \sf \implies  \frac{a}{b}  =  \frac{3}{7}  + 1 \\  \\  \sf \implies  \frac{a}{b}  =  \frac{3}{7}  +  \frac{7}{7}  \\  \\  \sf \implies  \frac{a}{b}  =  \frac{3 + 7}{7}  \\  \\  \sf \implies  \frac{a}{b}  =  \frac{10}{7}

6 0
3 years ago
Read 2 more answers
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