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zmey [24]
3 years ago
5

Based on the diagram which of the following represents the cosine of 70°

Mathematics
2 answers:
Leni [432]3 years ago
8 0

Answer:   \bold{b.\ \dfrac{x}{12}}

<u>Step-by-step explanation:</u>

cos\ \theta=\dfrac{adjacent}{hypotenuse}\\\\\\\text{The side adjacent (touching) the }70^o\text{ has a length of x.}\\\text{The hypotenuse (opposite of "not touching" the }90^o\text{ angle) has a length of 12.4}\\\\\\cos\ 70^o=\dfrac{x}{12.4}

Cloud [144]3 years ago
7 0

Answer:

x/12.4

Step-by-step explanation:

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Bill's recipe for onion soup call for 4.0lb of thinly sliced onions. If an onion has an average mass of 115g, how many onions do
musickatia [10]

Answer:

1. 16\ onions

2. 4,040.91\ kg

Step-by-step explanation:

1. You know that the average mass of an onion is 115 grams and Bill needs 4.0 pounds.

Then, since 1\ lb=453.592\ g, we can make the following conversion:

(4.0\ lb)(\frac{453.592\ g}{1\ lb})=1,814.37\ g

Then, the number of onions Bill needs is:

(1,814.37\ g)(\frac{1\ onion}{115\ g})=15.77\ onions ≈ 16\ onions

2.  Since 1\ kg=2.20462\ lb, we can make the following conversion:

(11\ lb)(\frac{1\ kg}{2.20462\ lb})=4.98\ kg

 Knowing that all the potatoes sold today at the store bring in $1,420 and 4.98 kilograms of potatoes is $1.75, we can calculate the amount of kilograms the grocery shoppers bought:

(\$1,420)(\frac{4.98\ kg}{\$1.75})=4,040.91\ kg

6 0
3 years ago
millicent earned $435 last year in interest. If $3000 was invested at a certain rate of return and $4500 was invested in a fund
tatiyna

Answer:

7% and 5%

Step-by-step explanation:

The computation of the two rates of interest is shown below;

The interest  rate for $3,000 be x%

And, for $4,500 the interest rate is (x -2%)

The total interest earned is

= x% of $4,500 + (x - 2)% of $4,500

So, the two rates of interest is

x% of $4,500 + (x - 2)% of $4,500 = $435

30x + 45(x - 2) = $435

30x + 45x - 90 = $43

75x = $25

x = 7%

x - 2 = 7 - 2

= 5%

8 0
3 years ago
Two bowls of pasta at a restaurant serve 3 people. How many bowls of pasta should be ordered for 12 people?
Butoxors [25]
12 people divided by 3 people = 4

so if 2 bowls serve 3 people...2 bowls x 4 = serve 12 people

therefore, 8 bowls serve 12 people
6 0
3 years ago
Read 2 more answers
find the square root of each of the following decimal numbers correct to two places of decimal : I. 175.01 II. 423.74 III. 5893.
netineya [11]

Answer:

i. 13.23

ii. 20.58

iii. 76.77

iv. 84.48

Step-by-step explanation:

Here , we are to calculate the square root of we have of the decimal numbers and correct to two decimal places.

i. √(175.01) = 13.229 = 13.23

ii. √(423.74) = 20.5849 = 20.58

iii. √(5893.27) = 76.767 = 76.77

iv. √(7136.8) = 84.4795 = 84.48

Kindly note that the approximation to two decimal places are the figures after the equal to

3 0
3 years ago
What is the slope of the line through (-3,0) and (-4,-2)?
rodikova [14]

AnswerY=-10/3x+11:

Step-by-step explanation:

M=0--2/-3-4= -10/3

Y-1=-10/3(x-3)

-10/3x+10+1

Y=-10/3x+11

4 0
3 years ago
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