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anygoal [31]
3 years ago
12

Heather walked 24 feet to the south and 32 feet to the east, but then she walked in a straight line back to where she started, a

s shown by the dotted line. How far did Heather walk in all?
Mathematics
1 answer:
Oksanka [162]3 years ago
4 0

Answer:

96 feet

Step-by-step explanation:

This problem requires the use of pythagorean theorem.

she walks 24 ft south + 32 ft east + \sqrt{24^2 + 32^2} = 56 + \sqrt{1600} = 56 + 40 = 96

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Factor the trinomial 2x^2+15x+7
Mashutka [201]

Answer:

(2x+1)(x+7)

Step-by-step explanation:

2x2+15x+7

For a polynomial of the form ax2+bx+c

, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅7=14 and whose sum is b=15

.

Tap for more steps...

2x2+x+14x+7

Factor out the greatest common factor from each group.

Tap for more steps...

x(2x+1)+7(2x+1)

Factor the polynomial by factoring out the greatest common factor, 2x+1

.

(2x+1)(x+7)

3 0
2 years ago
A boat maker wanted to build a canoe 6 ft long and 2 1/2 wide but decided that those dimensions were too small. The boat maker w
Sati [7]
The ratio of length to width would change slightly, before adding on to the dimensions, the ratio is 6 : 2.5    with the added dimensions, the ratio would change to 8 : 4.5    with simple math you can see that 2.5 is less then half of 6 while 4.5 is more then half of 8
6 0
3 years ago
Read 2 more answers
Name an angle bisector shown in the figure.<br><br><br> DE<br><br> AB<br><br> GB<br><br> CF
expeople1 [14]

Answer:

CF

Step-by-step explanation:

we know that

An <u><em>angle bisector</em></u> is a line that divide an angle into two equal angles.

In this problem

m\angle ACF=m\angle FCD ---> given problem

m\angle ACD=m\angle ACF+m\angle FCD ---> by addition angle postulate

so

CF is an angle bisector of angle m\angle ACD

6 0
3 years ago
An amusement park has discovered that the brace that provides stability to the ferris
antiseptic1488 [7]

Answer:

Hence the correct answer is option (A) 4.708.

Step-by-step explanation:

Solution:-

Now, we need to find the angle of the sector by using sector  formula,

A = 28.25 ft^{2} \\r = 12ft.\\\\28.25 = \frac{\theta}{360^{o} } \times \pi \times 12^{2} \\\\\theta=\frac{28.25\times 360}{12 \times12 \times \pi} \\\\\theta =( \frac{70.625}{\\pi} )^{o}

We now convert the angle to radian  

\theta = \frac{70.625}{\pi}  \times \frac{\pi}{180}\\\\\theta = 0.39236 radian  

Now we calculate the length of arc by arc formula  

\theta=\frac{I}{12} \\\\0.39236 =\frac{I}{12}\\\\I  = 4.708 feet.  

So, The length of steel that must be replaced is 4.708 ft.  

4 0
3 years ago
The distance from jason's house to school is 0.5 meters. What is the distance in meters?
Lady_Fox [76]
500 meters because there are 1000 kilometers equals one kilometer. 0.5 is half of 1 so, the half of 1000 meters is 500 meters.
HOPE THIS helps you !!
6 0
3 years ago
Read 2 more answers
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