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Karo-lina-s [1.5K]

3 years ago

5

A flagpole is 10m high. It is held in position by four ropes that are each fixed to the ground, 4m away from the foot of the fla

gpole, to make a square. The diagram shows the flagpole and two ropes that are opposite each other. Calculate the length of each rope

1 answer:

drek231 [11]3 years ago

8 0

Answer:

10.77m

Step-by-step explanation:

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A, B & C form a triangle where Z BAC = 90°.

zhannawk [14.2K]

Answer:

BC ≈ 8.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle , that is

BC² = AB² + AC² = 7.3² + 4.6² = 53.29 + 21.16 = 74.45 ( square root both sides )

BC = $\sqrt{74.45}$ ≈ 8.6 ( to 1 dec. place )

8 0

3 years ago

Charity is packing a 2-pounds container of trail mix into bags for a camping trip. Each bag holds 1/8 pound trail mix. If Charit

mamaluj [8]

Answer: She would have 16 bags of trail mix.

Step-by-step explanation: Since one bag of trail mix contains 1/8 of a pound. You need to add how much it will take to make 2 pounds. So you keep adding 1/8 but the denominator stays the same each time you add. So it will look like this: 1/8 + 1/8 = 2/8 and you keep repeating it until you get 8/8 which equals 1 pound. Then you add 1/8 until you get 8/8 again. So 8 + 8 = 16.

7 0

3 years ago

Find the measure of the following angles.<br><br> m < LPM: <br><br> m <br> m <br> HELP ASAP‼️

Elena-2011 [213]

Answer:

kpl- 90°

jpk-52°

npm-142°

lpm-38°

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Use the Change of Base Formula to evaluate log3 58. Then convert log3 58 to a logarithm in base 4. Round to the nearest thousand

Natali5045456 [20]

Hello,

$log_3(58)= \dfrac{ln(58)}{ln(3)}=3,69597450... \\

log_3(58)=log_4(x)\\

 \dfrac{ln(58)}{ln(3)} = \dfrac{ln(x)}{4}==\textgreater\ x=e^{ \frac{ln(58)*ln(4)}{ln(3)}}\\

 =167,957104437222249066099...

$

≈167.96

5 0

3 years ago

Read 2 more answers

Jamie purchased a condo in Naples, Florida, for $699,000. She put 20% down and financed the rest at

ololo11 [35]

By applying the formulas of present and future values of annuity we can solve this problem. In this mortgage problem, first we have to find loan amount after the down payment. It is 699,000 - 699,000 * 0.2 = 559,200$. We have to set it as PV (Present Value) of annuity. Using the PV formula $PV = A \frac{[1- \frac{1}{(1+r)^{N}}]}{r}$ , we first find A, which is an annual payment. Exact calculation with mortgage calculator gives us A = 33,866.56$. After finding it, plugging this number into FV (Future Value) formula $FV = A\frac{[(1+r)^{N}-1]}{r}$ , we find the value of the future value and it is 1,185,329.66$. And the total financial charge is 1,185,329.66 - 559,200 = 626,129.66$

6 0

3 years ago