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olga2289 [7]
3 years ago
8

Tim walked 3/10 mile to the post office. Then he walked 1/5 mile to the gym. Draw a set of fraction strips to model the total nu

mber of miles Tim walked. Draw a different set of fraction strips to show equivalent fractions with a common denominator. How many miles did Tim walk all together?
Cuestion 8

Mathematics
1 answer:
Likurg_2 [28]3 years ago
6 0
You have 2 denominators so they need to be in the same family 5 and 10 are in the same family you take the biggest denominator and that is your common denominator and 3 + 1 =4 so 4/10 is your answer. (unless you need to simplify)
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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:

<em>35.11 ft</em>

<em></em>

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 <em>35.11 ft</em>.

3 0
3 years ago
When n is a factor of a number, all factors of n are also factors of the number
Eduardwww [97]
This would be True. For example. If your number is 24, and 'n' is 12 ( a factor of 24 )
your factors of 12 (12, 6, 4, 3, 2, 1) are also included in the factors of 24 (which are 24, 12, 6, 4, 3, 2, 1)
7 0
3 years ago
Write an equation of the circle given its center and radius
Genrish500 [490]

Answer:

y =x² + y² + 2y - 35

Step-by-step explanation:

The equation of a circle is given by the formula;

(x-a)²+(x-b)² = r²

Where;  (a, b) is the center of the circle and r is the radius

Therefore;

(x-0)² +(y+1) = 6²

x²+ y² +2y + 1= 36

x² + y² + 2y - 35 = 0

Therefore; The equation of the circle is y = x² + y² + 2y - 35

5 0
3 years ago
Read 2 more answers
A university law school accepts 2 out of every 5 applicants. If the school accepted 180 students, find how many applications the
Lubov Fominskaja [6]
You can set up rations to do this.
So we know that they accept 2:5.
So It would be 180: 450.
8 0
3 years ago
Can anyone help me please? I have no idea what to do! :'(
liberstina [14]

Answer:

7) 10^(3/2)

8) 2^(1/6)

9) 2^(5/4)

10) 5^(5/4)

Step-by-step explanation:

7)  (√10)^3 = 10^(3/2)

8)  6 root 2 = 2^(1/6)

9)  (4 root 2)^5 = 2^(5/4)

10) (4 root 5)^5 = 5^(5/4)

5 0
3 years ago
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