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2 years ago

What is z? will give brainliest:)

Mathematics

1 answer:

OLga [1]2 years ago

8 0

Answer:

z = 1

Step-by-step explanation:

Since this is an equation we can cross multiply the fractions

7/z = 84/12 ➡ 84×z = 7×12

84z = 84 divide both sides by 1

z = 1

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Ken drove 174 miles in 3 hours. The equation y = 57x represents the distance in miles, y, Brenda drove in x hours. Determine who

ella [17]

To find Ken's speed divide total distance by total time:

174 miles / 3 hours = 58 miles per hour.

In the equation for Brenda, the 57 is the miles per hour because you would multiply that by x ( hours) to get total miles (y).

Ken had the faster driving speed.

8 0

3 years ago

A face of a solid is

nalin [4]

Answer:

In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by faces is a polyhedron. (OR) A face is a 2D shape that makes up one surface of a 3D shape, an edge is where two faces meet and a vertex is the point or corner of a geometric shape.

Step-by-step explanation:

3 0

3 years ago

The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.

MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle = $3\times\ side$

$3\times\ side$ $=[tex]81\sqrt{3}$

$Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm$

Thus from the diagram , Side $AB=BC=AC= 27\sqrt{3} \ cm$

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus $\angle OBC = 30$ °

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

$tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2} } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\$

Thus ,apothem OE= 13.5 cm

Now for radius,

We consider ΔOBE

$cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB} \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm$

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0

3 years ago

Need steps to; the number 60 is 40% of ?

KIM [24]

Let x be the number, then 60 = 40% of x & x =60/40%=60/0.4=150
then the number of which 60 represent 40% of it is 150
2) Let x be the time needed to the 16 clerks to finish the job

In one day the 32 clerks complete a portion of 32/22 of the job
In one day the 16 clerks complete a portion of 16/x of the job
So in 1 day===> 32/22 =16/x ==> x=(22*16)/32 = 11 days

5 0

3 years ago

Suppose an experiment has 3 stages: A, B, and C. If stage A has 6 outcomes, stage B has 4 outcomes, and stage C has 3 outcomes.

zimovet [89]

Answer:

Step-by-step explanation:

Stage A has 6 outcomes, then B has 4 and C has 3

Take for example only 1 outcome of A, it will have 4 outcomes of B and each outcome of B will have 3 outcomes.

Then a single outcome of A has a total of 12 outcomes (4*3)

Writing it in a way A, B, C:

1,1,1

1,1,2

1,1,3

1,2,1

1,2,2

1,2,3

1,3,1

1,3,2

1,3,3

1,4,1

1,4,2

1,4,3

This is only taking in consideration 1 outcome of A, A has a total of 6 outcomes.

The total of outcomes in the experiment = 6*12=72

8 0

3 years ago