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2 years ago

10pts dont answer bogus or reported

Mathematics

1 answer:

ELEN [110]2 years ago

4 0

Answer:

6 hours and 45 minutes

Step-by-step explanation:

162÷24=6.75

6.75=6 hours and 45 min

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Steven has a stamp collection with 32 stamps. Only 1/4 of the stamps are from the United States. How many stamps are from the U.

Natasha_Volkova [10]

Answer:

I believe the answer would be 8 because if you divide 32 by 4 you get eight and that would be 1/4 of 32

Step-by-step explanation:

5 0

3 years ago

A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58° with the ground. If the length of the ten

AfilCa [17]

Answer:

35.11 ft

Step-by-step explanation:

This given situation can be thought of as triangle $\triangle PQR$ where PQ is the length of pole.

PR is the length of rope.

and QR is the distance of bottom of pole to the point of fastening of rope to the ground.

And $\angle Q \neq 90^\circ$

Given that:

PQ = 44 ft

PR = 51 ft

$\angle R = 58^\circ$

To find:

Side QR = ?

Solution:

We can apply Sine Rule here to find the unknown side.

Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ$

Now,

$\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ$

Let us use the Sine rule again:

$\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft$

So, the answer is 35.11 ft.

3 0

3 years ago

Which one is > greater or < less than or = equal to?? 6+√8____√6+8

brilliants [131]

$\huge\boxed{\sqrt{6}+8\;is\;greater\;than \;6+\sqrt{8} }$

$6+\sqrt[]{8} =8.82\\\sqrt{6}+8=10.44\\\\\boxed{Therefore, \sqrt{6}+8\;is\;greater\;than\;6+\sqrt{8}. }$

4 0

2 years ago

4/5 of a number is 16. What is the number?

Zepler [3.9K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B49%7D%20" id="TexFormula1" title=" \sqrt{49} " alt=" \sqrt{49} " align="absmiddle

Zinaida [17]

Root of 49

Solutions are 7 and -7

We know that 7 is the square root of 49.

A negative number multiplied by itself gives positive
So -7 is also a square root of 49

5 0

3 years ago