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AfilCa [17]
3 years ago
12

Solve the word problem.  The height of a triangle with base b and area A is given by the formula h = 2A/B .  What is the height

of a triangle with area 26 cm2 and base 8 cm?  
A.1.625 cm  
B.3.25 cm  
C.3.5 cm  
D.6.5 cm
Mathematics
1 answer:
jeka943 years ago
4 0
h =  \frac{2A}{b} \ \ \ and\ \ \ A=26\ cm^2\ \ \ and\ \ \ b=8\ cm\\\\h= \frac{2\cdot26}{8} = \frac{2\cdot2\cdot13}{2\cdot2\cdot2} = \frac{13}{2} =6.5\ [cm]\\\\Ans.\ D
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One of the Same side angles of two parallel lines is 60° greater than the other. Find the two angles.
BARSIC [14]

Answer:

60,120

Step-by-step explanation:

We know that angles on the same side of the transversal always add up to 180 ( are supplementary)

Hence, taking one of the angles as x we get,

x+(60+x)=180

2x+60=180

2x=120

x=60

Hence, one angle is 60 degrees while the other 120 degrees

4 0
3 years ago
Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv
Leona [35]

The inequality is used to solve how many hours of television Julia can still watch this week is x + 1.5 \leq 5

The remaining hours of TV Julia can watch this week can be expressed is 3.5 hours

<h3><u>Solution:</u></h3>

Given that Julia is allowed to watch no more than 5 hours of television a week

So far this week, she has watched 1.5 hours

To find: number of hours Julia can still watch this week

<em>Let "x" be the number of hours Julia can still watch television this week</em>

"no more than 5" means less than or equal to 5 ( ≤  5 )

Juila has already watched 1.5 hours. So we can add 1.5 hours and number of hours Julia can still watch television this week which is less than or equal to 5 hours

number of hours Julia can still watch television this week + already watched ≤ Total hours Juila can watch

x + 1.5 \leq5

Thus the above inequality is used to solve how many hours of television Julia can still watch this week.

Solving the inequality,

x + 1.5 \leq5\\\\x \leq 5 - 1.5\\\\x \leq 3.5

Thus Julia still can watch Television for 3.5 hours

5 0
3 years ago
Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of
Anastaziya [24]

Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + <u>1</u>

3 = 2 + <u>1</u>

4 = 3 + <u>1</u>

The number in bold (1) is that constant number which is added to a number to form its successive number.

To find the sum of series forming AP, we use the formula :-

sum =  \frac{n}{2} \{ a  + a  _{n}  \}

here,

  • n is the number of terms
  • a is the first number of the series
  • an is the last number of the series

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

S  =   \frac{25}{2}\{ 1  +25\}

=  \frac{25 \times 26}{2}

= 25  \times 13

= 325

So, the value of S comes out to be 325.

8 0
3 years ago
Read 2 more answers
OER type of question.
Vlad1618 [11]

Answer:

x=-3, y=-19

Step-by-step explanation:

we can solve by substitution.

y = 2x-1 we can derive from the second equation.

plugging it into the first equation, 2x -3(2x-1) = 15.

simplying, 2x-6x+3 = 15 --> -4x+3 = 15, -4x = 12, x = -3.

now we know x, so we can solve for y by plugging it into one of the equations. --> -3*-6+y = -1

simplify, 18+y = -1 --> y = -19.

5 0
3 years ago
2 black 5 grey and 1 white marbles. What is the likelihood pf picking white?
xeze [42]

Answer: The probability is 5/6

Step-by-step explanation:

3 0
3 years ago
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