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Roman55 [17]
3 years ago
11

A honeybee sitting on a tulip wanted to fly to a daffodil located 100 meters due east. Although the honeybee flew in a straight

line, it mistakenly flew in a direction 5° south of east. When the bee was directly south of the daffodil, how far was the bee from the daffodil? Show or explain your work. ​

Mathematics
1 answer:
melomori [17]3 years ago
6 0

Answer:

Not sure if this is correct but I think 100 meters. Because he was directly south, meaning the extra 5° doesnt matter at this point.

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Convert 0.05 into a fraction
Dmitry_Shevchenko [17]

the answer is 5/100 because its in the hundreths place but it simplifies down to 1/20

thank you for your time and please mark brainliest

7 0
3 years ago
Consider the line segment below that is five feet long. Is Q the midpoint of PR? Justify your answer.
givi [52]

Answer:

Q is not the midpoint of PR

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If Q is the midpoint of PR

then

PQ=QR

substitute the given values and solve for x

15x-2=5x+3\\15x-5x=3+2\\10x=5\\x=0.5

Remember that

PR=5\ ft ----> given problem

PR=PQ+QR\\PR=(15x-2)+(5x+3)

substitute the value of x

PR=(15(0.5)-2)+(5(0.5)+3)

PR=(5.5)+(5.5)

PR=11\ ft

Compare with the given value of PR

5\ ft\neq 11\ ft

therefore

Q is not the midpoint of PR

4 0
3 years ago
Complete the proof please. A. SAS B. ASA C. AAS D.HL
riadik2000 [5.3K]

Option B:

ASA congruence

Solution:

Step 1: Given

\overline{Q S} \perp \overline{Q T}

Step 2: Given

\overline{R T} \perp \overline{R S}

Step 3: Given

\overline{Q U} \cong \overline{R U} (Included side)

Step 4: All right angles are congruent.

\angle Q \cong \angle R (Angle)

Step 5: By vertical angle theorem

\angle Q U T \cong \angle R U S (Angle)

Step 6: By ASA congruence

QU and RU are included side of corresponding angles.

Therefore by ASA congruence rule,

\Delta Q T U \cong \Delta R S U

Option B is the correct answer.

Hence proved.

6 0
4 years ago
Given that y is inversely as x+3 and that y=4 when x =2 (a)express y in terms of x (b)find the value of y when x =5 .
myrzilka [38]

a. Expressing y in terms of x, y = 20/(x + 3)

b. When x = 5, the value of y is 2.5

The question has to do with inverse variation.

<h3>What is inverse variation?</h3>

Inverse variation is variation in which one quantity varies inversely as the other.

<h3>a. How to express y in terms of x?</h3>

Given that y is inversely as x + 3 and that y = 4 when x = 2.

Since y varies inversely as x + 3, we have

y ∝ 1/(x + 3)

y = k/(x + 3)

When y = 4, x = 3. So

y = k/(x + 3)

4 = k/(2 + 3)

4 = k/5

k = 4 × 5

k = 20

So, y = k/(x + 3)

y = 20/(x + 3)

So, expressing y in terms of x, y = 20/(x + 3)

<h3>b. Find the value of y when x = 5.</h3>

Since  y = 20/(x + 3)

Substituting x = 5 into the equation, we have

y = 20/(x + 3)

y = 20/(5 + 3)

y = 20/8

y = 5/2

y = 2.5

So, when x = 5, the value of y is 2.5

Learn more about inverse variation here:

brainly.com/question/27887206

#SPJ1

4 0
2 years ago
Eden bought a new phone. The phone’s retail price is $199. In addition, she paid sales tax of 8% of the retail price. A few days
Artyom0805 [142]

Answer:

The price paid for the phone after tax and the mail-in rebate is $265 (an approximate value of $264.92).

Step-by-step explanation:

Given:

Retail price of the phone $199, sales tax 8% of the retail price and rebate $50.

So, for getting the price paid for phone add the retail price, sales tax and rebate.

Now, the amount of sales tax :

8% of $199

⇒\frac{8}{100}\times199

⇒0.08\times199

⇒15.92.

Sales tax is $15.92.

According to question:

199+15.92+50

=264.92.

Therefore, the price paid for the phone after tax and the mail-in rebate is $265 (an approximate value of $264.92).

6 0
3 years ago
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