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4 years ago

Question on the paper

Mathematics

1 answer:

lutik1710 [3]4 years ago

6 0

Answer:

AB = 178 meters.

Step-by-step explanation:

See the attached diagram.

The surveyor needs to measure the distance AB across the lake.

Now, beginning at E, he locates the midpoint C of AE and the midpoint D of BE.

Now,measurement CD = 89 meters.

Now, in triangle Δ EAB, CD is the line connecting midpoints of the sides EA and EB, hence CD will be parallel to AB and 2CD = AB ...... (1)

Now, AB = 2 × 89 = 178 meters. (Answer)

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2) Bobby has 3 apples and 5 oranges. Mary has 2 apples and

RideAnS [48]

Answer:

3 apples and 6 oranges.

Step-by-step explanation:

5-1=4

4+2=6

0+3=3

6 apples and 3 oranges

3 0

4 years ago

Solve x2 + 14x = −24 by completing the square.

Aleks04 [339]

Option A

The solution set of the equation is {-12, -2}

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

Given equation is:

$x^2 + 14x = -24$

We have to find the solution set of this equation by completing the square

First, rearrange the equation so that only zero will be on the right side:

$x^2 + 14x + 24 = 0$ ----- eqn 1

<em><u>The general form of quadratic equation is:</u></em>

$ax^2 + bx + c = 0$ where $a \neq 0$

On comparing the given eqn 1 with general quadratic equation, we get

a = 1

b = 14

c = 24

In completing the square, we take half of coefficient of middle term "x" and then square it. Then we add it on both sides of the equation

So to complete the square, add $(\frac{b}{2})^2$ to both sides of the equation

$x^2 + 14x + 24 + (\frac{14}{2})^2 = (\frac{14}{2})^2$

$x^2 + 14x + 24 + 7^2 = 7^2\\\\x^2 + 14x + 24 + 49 = 49$

$x^2 + 14x + 24 + 49 = 49\\\\x^2 + 14x + 49 = 49 - 24\\\\x^2 + 14x + 49 = 25\\\\(x + 7)(x + 7) = 25\\\\(x + 7)^2 = 25$

Take square root on both sides

$x + 7 = \sqrt{25}$

$x+7=\pm 5$

Now make two equations

x + 7 = + 5 and x + 7 = -5

x = +5 - 7 = -2

x = -2

And,

x + 7 = -5

x = -5 - 7 = -12

x = -12

Therefore, the solution set of the equation is {-12, -2} and option A is correct

6 0

3 years ago

Read 2 more answers

A piece of brass contains 1.66 grams of copper and 0.34 gram of

drek231 [11]

Answer:

2.00 grams

Step-by-step explanation:

1.66 + 0.34 = 2.00

2.00 grams

3 0

3 years ago

Helpppp please!! I really need help in this area

Stells [14]

Answer:

.25 or 1/4

Step-by-step explanation:

The probability of drawing a blue marble is 5/10 or 1/2. multiply that by the same probability again as the marble is placed back in the bag. Then you have your answer.

3 0

4 years ago

I need it done asappp

nevsk [136]

Answer:

−3+(−2)(5)+7

=−6

Step-by-step explanation:

Multiply and divide left to right (-2) (5) : 10

Apply rule -a x b = a x b

(-2)(5)= -2 x 5 = -10

= -3 - 10 +7

Add and subtract left to right

-3-10+7

-3 - 10 = 13

= -13 + 7

-13 + 7 = -6

= -6

Hope I helped

Brainliest plz

6 0

3 years ago