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3 years ago

Please help don't know how to do

Mathematics

1 answer:

Stolb23 [73]3 years ago

4 0

Area of a triangle is (basexheight)/2

That's what your Formula, then you have to plug in the numbers

so the algebraric expression is (5xn)/2

For then end if you look at the patteren for the height it goes by 2. So the last height would be 10.
Plug that into the equation, which would be (5x10)/2=25

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A store has sold 42 jeans,which is 25% of all the jeans they had. How many jeans did the store have at first?

shepuryov [24]

168 Jeans. The store had 168 jeans.

4 0

3 years ago

the two vertices of a triangle are (0,6) and (0,12). if the are of the triangle is 12 square units, where can the third vertex b

wlad13 [49]

Answer:

1) (4,6),(-4,6), (4,12),(-4,12)

2) (4,9) or (-4,9)

Step-by-step explanation:

Observe that the two vertices given, (0,6) and (0,12) are on the y-axis.

The distance between this points is |12-6|=6

We know area of a triangle is $A=\frac{1}{2}bh$

We were given area as 12.

$\frac{1}{2}*b*6=12$

$3b=12$

b=4 units

We can find a point 4 units horizontally away from any of the vertex.

So (4,6),(-4,6), (4,12),(-4,12) are feasible vertices.

For the triangle to be isosceles, then the third vertex must be on the horizontal line through the midpoint of (0,6) and (0,12) and must be 4 units away from the line x=0.

Therefore if thr triangle is isosceles, then third vertex must be at (4,9) or (-4,9)

7 0

3 years ago

Solve for y, z, x or t:

Andrews [41]

Problem 1

y + (y/a) = b

a*( y + (y/a) ) = a*b ... multiply both sides by 'a'

ay + a(y/a) = ab ... distribute

ay + y = ab

(a+1)y = ab .... factor

y(a+1) = ab

y = ab/(a+1) ... divide both sides by (a+1)

<h3>Answer: y = ab/(a+1)</h3>

========================================

Problem 2

z - a = z/b

b(z - a) = b(z/b) .... multiply both sides by b

b(z - a) = z

bz - ab = z ... distribute

bz - ab+ab = z+ab ... add ab to both sides

bz = z+ab

bz-z = z+ab-z ... subtract z from both sides

bz-z = ab

z(b-1) = ab .... factor

z = ab/(b-1) .... divide both sides by (b-1)

<h3>Answer: z = ab/(b-1) </h3>

========================================

Notes:

To clear out the fractions, I multiplied both sides by the denominator value.

The restriction that 'a' cannot equal -1, back in problem 1, is to avoid having the denominator (a+1) be equal to zero. We cannot divide by zero. A similar situation happens with problem 2 as well.

4 0

3 years ago

Translating mathematical statements in English into logical expressions. info About Consider the following statements in English

arsen [322]

Answer:

See below

Step-by-step explanation:

(a) There is a number whose cube is equal to 2.

$\large \exists x \in \mathbb{R}\;|\;x^3=2$