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maksim [4K]
3 years ago
8

Fred's car has run out of gasoline. He walks 4 km west and then 3 km south looking for a gasoline station. If he is now h km dir

ectly from his starting point, find the value of h
Mathematics
1 answer:
castortr0y [4]3 years ago
7 0

Answer:

5 km

Step-by-step explanation:

From. The question, the triangle formed us a right angled triangle,

h km directly from starting point is the hypotenus, h :

Hypotenus = sqrt(opposite² + Adjacent²)

h = sqrt(4² + 3²)

h = sqrt(16 + 9)

h = sqrt(25)

h = 5 km

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The diameter of a sphere is 8 centimeters. What is the volume of the sphere? Use 3.14 for pi. Enter your answer, as a decimal, i
Angelina_Jolie [31]
The volume of a sphere is given by the equation V= \frac{4}{3}  \pi r^3, where r is the radius.

We are given the diameter of the sphere, but recall that the diameter is twice the radius: d=2r. So the radius is half of the diameter: r= \frac{1}{2}d.

Half of 8 cm is 4 cm.

We substitute this for r in the equation and we use 3.14 for <span>π.</span>

V= \frac{4}{3}(3.14)(4)^3= \frac{(4^4)(3.14)}{3}=267.9 \ cm^3
4 0
3 years ago
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One box of crackers costs $1.75. The crackers are advertised as “3 boxes for $5.25.” Which proportion can be used to represent t
Daniel [21]
A.  1/1.75 = 3/5.25 


Ignore this part I'm just trying to get at least 20 characters.
5 0
3 years ago
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In order to answer the question correctly, please use the following image below:
Marta_Voda [28]

Answer:

70°

Step-by-step explanation:

Minor angle at the centre:

360 - 250 = 110

Two tangents make an angle of 90° each

90 + 90 + 110 + x = 360

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5 0
3 years ago
What is 7 to the power of 6 mulitplyed by 7 to the power of 5 and simplifyed
choli [55]

Answer:

7^11

Step-by-step explanation:

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3 0
3 years ago
Please help on 13 and 14
alexira [117]

Answer:

13) The planes ABF and FHG are  perpendicular

14)  Segments Ab and CD are parallel.

Step-by-step explanation:

13)

Planes ABF and FHG are perpendicular (they intersect along side EF)

14)

In order to find out about the segments AB and CD, let's use the formula for the slope that joins any two points (x_1,y_1)\,\,\&\,\,(x_2,y_2) on the plane:

slope=\frac{y_2-y_1}{x_2-x_1}

Therefore, given:

A = (-3, 2)

B = (1, 4)

C = (-3, -1)

D = (1, 1)

we have for segment AB the following slope:

slope_{AB}=\frac{4-2}{1+3} =\frac{2}{4} =\frac{1}{2}

and for segment CD the following slope:

slope_{CD}=\frac{1+1}{1+3} =\frac{2}{4} =\frac{1}{2}

Since they show the same slope, these two segments are parallel.

4 0
3 years ago
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