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Sunny_sXe [5.5K]
2 years ago
5

Find the length of side x. Show steps please!

Mathematics
1 answer:
yawa3891 [41]2 years ago
8 0

Answer:

\large{x=7.4438\ cm\approx7.4\ cm}

Step-by-step explanation:

Use tangent:

tangent=\dfrac{opposite}{adjacent}

We have:

\alpha=28^o,\ opposite=x,\ adjacent=14\ cm

\tan28^o\approx0.5317

Substitute:

\dfrac{x}{14}=0.5317                <em>multiply both sides by 14</em>

x=7.4438\ cm

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17. Jing has $800 to deposit into two different savings accounts.
Olin [163]

Answer:

$864.88

Step-by-step explanation:

(1. $600 + $49.50 = $649.50

(2. $200 + $15.38 = $215.38

$649.50 + $215.38 = $864.88

A = $864.88

7 0
3 years ago
The length of a new rectangular playing field is 3 yards longer than double the width. If the perimeter of the rectangular playi
Romashka-Z-Leto [24]

Answer:

121 x 59 (Dimensions)

Step-by-step explanation:

6x + 6 = 360

Take away 6 from both sides

6x = 354

Divide both sides by 6

x = 59

The length is 2x + 3 because it says 3 more than double the width (lenght is x). You have 2 widths and 2 lengths. The two widths are both x (2x). The two lengths are both 2x + 3 (4x + 6). 2x + 4x + 6 = 6x + 6.

Now input 59 for x

2(59) + 3 = 121

x = 59

Check Your Answer

121 is just one length and 59 is just one width, so you have to multiply both sides by 2 because you have 2 widths and 2 lengths.

121 x 2 = 242

59 x 2 = 118

242 + 118 = 360

8 0
2 years ago
I need help on this one please​
katrin2010 [14]

Answer:

B

Step-by-step explanation:

(-2,4), (0,6), and(2,8)

6 0
3 years ago
You and a group of 7 friends go out for pizza. One large pizza and 3 medium drinks cost $21.96. One large pizza and 6 medium dri
Doss [256]

Answer:

Step-by-step explanation:

x = cost of drink

y = total cost

First information: "one large pizza and 3 medium drinks cost $21.96":

3a + b = 21.96

Second information: "one large pizza and 6 medium drinks cost $30.93":

6a + b = 30.93

{3a + b = 21.96

{6a + b = 30.93

{- 3a - b = - 21.96

{6a + b = 30.93

3a = 8.97

a = 2.99

3a + b = 21.96

3•2.99 + b = 21.96

8.97 + b = 21.96

b = 21.96 - 8.97

b = 12.99

Each drink costs $2.99 and each pizza costs $12.99. The linear function rule is:

y = 2.99x + 12.99

I hope I've helped you.

8 0
3 years ago
If an object is dropped from a height of 55 feet, the function d = -16^2 + 55 gives the height of the object after t seconds. Gr
motikmotik

Answer:

Approximately  1.9 seconds   (correct to nearest tenth)

Step-by-step explanation:

Looks like the function is  d = -16t^2 + 55    ( you left out the t)

The answer is the value of t when d = 0 so we have the equation:-

0 =  -16t^2 + 55

16t^2 = 55

t^2 = 55/16

t = sqrt (55/16)

= 1.85 seconds

4 0
3 years ago
Read 2 more answers
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