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Anna71 [15]
2 years ago
14

If TU = 6 units, what must be true?

Mathematics
2 answers:
Sunny_sXe [5.5K]2 years ago
7 0
If TU=6 then SU+UT= RT
enyata [817]2 years ago
4 0

From the figure we can see that:

RS = 24\\RT = 12

In addition, we have to:

TU = 6

Therefore, the value of SU is given by:

SU = RS - (RT + TU)

Substituting values we have:

SU = 24 - (12 + 6)\\SU = 6

Therefore, it is true that:

SU + UT = RT

Verifying we have:

6 + 6 = 12

Answer:

The following must be true:

SU + UT = RT

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Mei and Anju are sitting next to each other on different horses on a carousel. Mei's horse is 3 meters from the center of the
SOVA2 [1]

Answer:

2\pi \approx 6.28\ meters

Step-by-step explanation:

Mei's horse is 3 meters from the center of the carousel. After one rotation, Mei travelled

l_M=2\pi r=2\pi \cdot 3=6\pi\ meters

Anju's horse is 2 meters from the center. After one rotation, Mei travelled

l_A=2\pi r=2\pi \cdot 2=4\pi\ meters

The difference in their travelled distances is

l_M-l_A=6\pi -4\pi =2\pi \approx 6.28\ meters

5 0
2 years ago
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Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Stree
Ilya [14]
The hypotenuse of the way that they have taken is equal to 2 miles. Jogging this distance with a rate of 5 miles per hour will take Jesse 0.4 hours. Further, for Mark to be back to the starting point, the total distance covered is 2.75. Dividing the distance by 12 miles per hour, it will take Mark only 0.23 hours. Thus, Mark will reach the initial point first. 

 
4 0
2 years ago
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A rectangle has an area of 256 cm 2 . it has a width that is 48 cm shorter than 4 times its length. what is the rectangle's leng
AveGali [126]
Let
x--------> <span>the rectangle's length
y-------> </span><span>the rectangle's width

we now that
Area of rectangle=x*y
Area=256 cm</span>²
<span>256=x*y-------> equation 1

y=4x-48------> y=4x-48------> equation 2

substitute equation 2 in equation 1

256=x*[4x-48]-----> 256=4x</span>²-48x
4x²-48x-256=0
<span>
using  a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=16 cm
y=4x-48----> y=4*16-48-----> y=16 cm

is a square

the answer is
</span>the rectangle's length is 16 cm

8 0
2 years ago
Boy Scout Troop 2 went backpacking in the Sierras. The scouts hiked 5 1/2 hours each day for 4 days. If their average speed was
KIM [24]

Given :

Time they traveled in a day , t=5\dfrac{1}{2}=\dfrac{11}{2}\ hours .

Average speed , s=1\dfrac{3}{4}=\dfrac{7}{4}\ mph .

To Find :

How far did they hike altogether in 4 days .

Solution :

We know , distance covered is given by :

d=s\times t \\\\d=\dfrac{7}{4} \times \dfrac{11}{2}\ miles\\\\d=\dfrac{77}{8}\ miles

So , distance covered in 4 days is :

D=\dfrac{77}{8}\times 4\ miles\\\\D=38.5\ miles

Therefore , distance they hike in 4 days is 38.5 miles .

Hence , this is the required solution .

7 0
2 years ago
What percent of 55 is 34
mihalych1998 [28]
So,

To what percent 34 is of 55, we first need to find the fraction equivalent.

34 out of 55 parts or 34/55

Divide 34 by 55.

34/55 = 0.61818...

Now, we move the decimal point 2 places to the right in order to convert it to a percent.

6.1818...
61.81818...

Rounded to the nearest hundredth: 61.82%
Rounded to the nearest tenth: 61.8%
Rounded to the nearest percent: 62%
4 0
2 years ago
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