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Andrews [41]
3 years ago
8

May someone please help me with this :)

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

163°.

Step-by-step explanation:

Sum of any pentagon is 540°.

So.

x + 68° + 121° + 103° + 85° = 540°.

x + 377° = 540°.

x = 540° - 377°

x = 163°.

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The vertical angle to the top of a flagpole from point A on the ground is observed to be 37°11'. The observer walks 17 m directl
inysia [295]

Answer:

22m

Step-by-step explanation:

Let height of flagpole=h

AB==17 m

\angle CAD=37^{\circ}11'=37+\frac{11}{60}=37.183^{\circ}(1 degree= 60 minute)

\angle B=25^{\circ}43'=25+\frac{43}{60}=25.72^{\circ}

We have to find the approximate height of the flagpole.

In triangle CDA,

\frac{CD}{DA}=tan\theta=\frac{Perpendicular\;side}{Base}

\frac{h}{DA}=tan37.183^{\circ}

h=DA(0.759)

In triangle CDB,

tan 25.72^{\circ}=\frac{CD}{DB}

0.482=\frac{h}{DA+17}

0.482DA+8.194=h

Substitute the value

0.482DA+8.194=0.759DA

8.194=0.759DA-0.482DA

8.194=0.277DA

DA=\frac{8.194}{0.277}=29.58

Substitute the value

h=29.58 \times 0.759=22.45 m\approx 22m

Hence, the height of the flagpole=22 m

3 0
3 years ago
A deli sells two types of sandwiches, tuna salad and BLT. The profit on the sandwiches is $1.50 for tuna and $2.50 for the BLT.
Korolek [52]
X = tuna, y = BLT

x + y = 30
6x + 9y = 240

3y = 60
y = 20

x = 10

20 BLTs for $2.50, 10 tuna for $1.50
7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST IF SOLVED IN 10 MINS : Solve each equation with the quadratic :
Lady_Fox [76]

Answer:

5. x = -1 or x = -3

6. b = -2 or b = 6

7. n = 5 or n = 4

Step-by-step explanation:

5. x² + 4x + 3 = 0

Factorize

x² + 3x + x + 3 = 0

x(x + 3) +1(x + 3) = 0

(x + 1)(x + 3) = 0

Set each of the factors equal to zero and solve for x

x + 1 = 0 or x + 3 = 0

x = -1 or x = -3

6. b² - 4b - 14 = -2

Put all terms on one side of the equation leaving zero on one side

b² - 4b - 14 + 2 = 0

b² - 4b - 12 = 0

Factorize

b² - 6b + 2b - 12 = 0

b(b - 6) +2(b - 6) = 0

(b + 2)(b - 6) = 0

Set each of the factors equal to zero and solve for b

b + 2 = 0 or b - 6 = 0

b = -2 or b = 6

7. n² = 9n - 20

Put all terms on one side of the equation leaving zero on one side

n² - 9n + 20 = 0

n² - 5n - 4n + 20 = 0

n(n - 5) -4(n - 5) = 0

(n - 5)(n - 4) = 0

Set each of the factors equal to zero and solve for b

n - 5 = 0 or n - 4 = 0

n = 5 or n = 4

8 0
3 years ago
15 points! Will mark brainliest for smartest answer.
goblinko [34]

Answer:

4.75b+3.50=15.00

Step-by-step explanation:

4.75b+3.50=15.00

4.75b=11.50

b=2.42

She can buy 2 bags of fruit

8 0
3 years ago
Read 2 more answers
A hyena can run 4 of a mile in 22.5 seconds. At this rate, which equation can be used to
valentina_108 [34]

Answer:

40 mph <3

Step-by-step explanation:

Trust me, it isn't that bad. Miles per hour is what we would call a rate. In this case, this rate is made up of distance over time. They have given us this distance (1/4 of a mile) and time (22.5 seconds).

First off, lets convert our fraction to a decimal.

1/4 = 0.25

DistanceTime=mph

We must notice that out units for time are different than the rate. Therefore we must convert seconds to hours.

There are 60 seconds in a minute and 60 minutes in an hour.

60 x 60 = 3,600

22.5s×1hour3600s=0.00625hour

Now that we have the correct units, we can do our distance over time formula.

0.25mile0.00625hour=40mph

Sorry, I hope this is correct!!

5 0
3 years ago
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