A street light bulb is fixed on a pole 6m above the level of the street. If a women of height 1.5m casts a shadow of 3m, find how far is she away from the base of the pole

Answers

Answer 1
Answer: The woman's shadow length is 2 times her height, so her distance from the light is 2 times the difference in height between her and the light bulb.

2×(6 m - 1.5 m) = 9 m


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A diagram can help you see the similar triangles.

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Henry’s baseball team needs new equipment each new baseball will cost 5.50$ And each new bat will cost 14.95 how much will the team spend if they buy 8 new baseballs and 2 new bats

Answers

Answer:

73.9

Step-by-step explanation:

multiply 5.50 by 8 and 14.95 by 2

EDIT: then add the products together

Express 1 as a percent

Answers

Answer:

1%

Step-by-step explanation:=D

What is the surface area of a rectangle with the dimensions of 7, 9.4, and 13

Answers

the surface of the rectangle is 558

Sheryl has a basket of ripe apples and peaches. The number of apples in the basket is 12 more than twice the number of peaches. If there are 36 apples in the basket, there are peaches in the basket. NextReset

Answers

a = 2p + 12...and there are 36 apples (a)
36 = 2p + 12
36 - 12 = 2p
24 = 2p
24/2 = p
12 = p...so, if there are 36 apples (a), then there are 12 peaches (p)

98.6 as a mixed number in simplest form

Answers

Answer:

(493)/(5) would be the answer

Step-by-step explanation:

98.6 = 98(3)/(5)

98(3)/(5) after being a mixed number, its simplest form would be (493)/(5)

Hope this helps you!

6x^2-4xy-15xy+10y^2 factor by grouping

Answers

4 answers · Mathematics
Best Answer
We will need to split the middle term and use the grouping method. To do this multiply the coefficient of the first term (6) against the coefficient of the last term (10):

6 * 10 = 60
Factors of 60 = +-(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60)

From the list of factors find two numbers that when added together give -19 and when multiplied together give 60. -15 and -4 added together give -19 and multiplied together give 60 so split the middle term by rewriting these values back into the expression:

6x^2 - 15xy - 4xy + 10y^2

Now use the grouping method, take out the highest common factor between the two sets of terms:

3x(2x - 5y) - 2y(2x - 5y)

Group the outside terms:

(3x - 2y)(2x - 5y)


Answers
6 = -3*-2
10 = 5*2
5*3+2*2=19
thus
(2y-3x)(5y-2x)